diff --git a/.gitignore b/.gitignore index e257658..004d48b 100644 --- a/.gitignore +++ b/.gitignore @@ -1,34 +1,4 @@ -# ---> C++ -# Prerequisites -*.d - -# Compiled Object files -*.slo -*.lo -*.o -*.obj - -# Precompiled Headers -*.gch -*.pch - -# Compiled Dynamic libraries -*.so -*.dylib -*.dll - -# Fortran module files -*.mod -*.smod - -# Compiled Static libraries -*.lai -*.la -*.a -*.lib - -# Executables -*.exe -*.out -*.app - +.DS_Store +build/ +.vscode/ +tmp/ \ No newline at end of file diff --git a/CMakeLists.txt b/CMakeLists.txt new file mode 100644 index 0000000..a49e93f --- /dev/null +++ b/CMakeLists.txt @@ -0,0 +1,46 @@ +cmake_minimum_required(VERSION 3.15.2) +# 设置项目名称与语言 +project(GCTL_MESH VERSION 1.0) +# 添加配置配件编写的函数 +include(CMakePackageConfigHelpers) + +message(STATUS "Platform: " ${CMAKE_HOST_SYSTEM_NAME}) +message(STATUS "Install prefix: " ${CMAKE_INSTALL_PREFIX}) +message(STATUS "Processor: " ${CMAKE_HOST_SYSTEM_PROCESSOR}) + +find_package(GCTL REQUIRED) +find_package(GCTL_GRAPHIC REQUIRED) +message(STATUS "GCTL Version: " ${GCTL_VERSION}) +message(STATUS "GCTL_GRAPHIC Version: " ${GCTL_GRAPHIC_VERSION}) +#if(${GCTL_VERSION} LESS 1.0) +# message(FATAL_ERROR "GCTL's version must be v1.0 or bigger.") +#endif() + +option(GCTL_MESH_EXPRTK "Use the exprtk library." ON) +option(GCTL_MESH_WAVELIB "Use the WaveLib library" ON) +# 传递安装地址给编译期宏变量 +option(GCTL_MESH_INSTALL_PREFIX "Pass the install directory." ON) +set(DIR_VAR ${CMAKE_INSTALL_PREFIX}) + +message(STATUS "[GCTL_MESH] Pass the install directory: " ${GCTL_MESH_INSTALL_PREFIX}) +message(STATUS "[GCTL_MESH] Use the exprtk library: " ${GCTL_MESH_EXPRTK}) +message(STATUS "[GCTL_MESH] Use the WaveLib library: " ${GCTL_MESH_WAVELIB}) + +if(GCTL_MESH_WAVELIB) + if(NOT WaveLib_FOUND) + find_package(WaveLib REQUIRED) + message(STATUS "Found WaveLib") + include_directories(${WaveLib_INC_DIR}) + endif() +endif() + +# 加入一个头文件配置，让cmake对源码进行操作 +configure_file( + "${PROJECT_SOURCE_DIR}/config.h.in" + "${PROJECT_SOURCE_DIR}/lib/mesh/gctl_mesh_config.h" + ) + +# 添加库源文件地址 +add_subdirectory(lib) +add_subdirectory(tool) +add_subdirectory(example) \ No newline at end of file diff --git a/GCTL_MESHConfig.cmake.in b/GCTL_MESHConfig.cmake.in new file mode 100644 index 0000000..29eb013 --- /dev/null +++ b/GCTL_MESHConfig.cmake.in @@ -0,0 +1,34 @@ +@PACKAGE_INIT@ + +set(@PROJECT_NAME@_VERSION "@PROJECT_VERSION@") +set_and_check(@PROJECT_NAME@_INSTALL_PREFIX "${PACKAGE_PREFIX_DIR}") +set_and_check(@PROJECT_NAME@_INC_DIR "${PACKAGE_PREFIX_DIR}/include") +set_and_check(@PROJECT_NAME@_INCLUDE_DIR "${PACKAGE_PREFIX_DIR}/include") +set_and_check(@PROJECT_NAME@_LIB_DIR "${PACKAGE_PREFIX_DIR}/lib") +set_and_check(@PROJECT_NAME@_LIBRARY_DIR "${PACKAGE_PREFIX_DIR}/lib") + +set(@PROJECT_NAME@_LIB gctl_mesh) +set(@PROJECT_NAME@_LIBRARY gctl_mesh) + +set(@PROJECT_NAME@_EXPRTK @GCTL_MESH_EXPRTK@) +set(@PROJECT_NAME@_WAVELIB @GCTL_MESH_WAVELIB@) + +message(STATUS "[GCTL_MESH] Use the exprtk library: " @GCTL_MESH_EXPRTK@) +message(STATUS "[GCTL_MESH] Use the WaveLib library: " @GCTL_MESH_WAVELIB@) + +if(NOT GCTL_FOUND) + find_package(GCTL REQUIRED) + include_directories(${GCTL_INC_DIR}) +endif() + +if(@PROJECT_NAME@_WAVELIB) + if(NOT WaveLib_FOUND) + find_package(WaveLib REQUIRED) + include_directories(${WaveLib_INC_DIR}) + endif() +endif() + +# include target information +include("${CMAKE_CURRENT_LIST_DIR}/@PROJECT_NAME@Targets.cmake") + +check_required_components(@PROJECT_NAME@) \ No newline at end of file diff --git a/config.h.in b/config.h.in new file mode 100644 index 0000000..8e30eff --- /dev/null +++ b/config.h.in @@ -0,0 +1,3 @@ +#cmakedefine GCTL_MESH_INSTALL_PREFIX "${DIR_VAR}" +#cmakedefine GCTL_MESH_EXPRTK +#cmakedefine GCTL_MESH_WAVELIB \ No newline at end of file diff --git a/dep/wavelib/.travis.yml b/dep/wavelib/.travis.yml new file mode 100644 index 0000000..3e1ee6b --- /dev/null +++ b/dep/wavelib/.travis.yml @@ -0,0 +1,33 @@ +sudo: false +language: c +os: + - linux + - osx + +compiler: + - gcc + - clang + +addons: + apt: + sources: + - ubuntu-toolchain-r-test + +matrix: + allow_failures: + - compiler: clang + +before_install: + # linux prereqisite packages + - if [ "$TRAVIS_OS_NAME" == "linux" ]; then wget --no-check-certificate https://www.cmake.org/files/v3.2/cmake-3.2.3-Linux-x86_64.tar.gz; fi + - if [ "$TRAVIS_OS_NAME" == "linux" ]; then tar -xzvf cmake-3.2.3-Linux-x86_64.tar.gz; fi + - if [ "$TRAVIS_OS_NAME" == "linux" ]; then export PATH=$PWD/cmake-3.2.3-Linux-x86_64/bin:$PATH; fi + +before_script: + + +script: + - mkdir build.ci && cd build.ci + - cmake .. -DBUILD_UT=ON -DCMAKE_BUILD_TYPE=$BUILD_CONFIG -DUSE_STATIC_BOOST=YES + - cmake --build . + - ctest -VV diff --git a/dep/wavelib/CMakeLists.txt b/dep/wavelib/CMakeLists.txt new file mode 100644 index 0000000..a0d3d33 --- /dev/null +++ b/dep/wavelib/CMakeLists.txt @@ -0,0 +1,15 @@ +cmake_minimum_required(VERSION 3.15.2) +# 设置工程名称和语言 +project(WaveLib VERSION 1.0) +# 添加配置配件编写的函数 +include(CMakePackageConfigHelpers) + +message(STATUS "Platform: " ${CMAKE_HOST_SYSTEM_NAME}) +# CMake默认的安装路径 Windows下为C:/Program\ Files/${Project_Name} Linux/Unix下为/usr/local +message(STATUS "Install prefix: " ${CMAKE_INSTALL_PREFIX}) +# CMake默认的变异类型为空 +message(STATUS "Build type: " ${CMAKE_BUILD_TYPE}) + +# 添加源文件地址 +add_subdirectory(src) +add_subdirectory(auxiliary) \ No newline at end of file diff --git a/dep/wavelib/COPYRIGHT b/dep/wavelib/COPYRIGHT new file mode 100644 index 0000000..ba9dcfa --- /dev/null +++ b/dep/wavelib/COPYRIGHT @@ -0,0 +1,19 @@ +Copyright (c) 2014, Rafat Hussain +Copyright (c) 2016, Holger Nahrstaedt +All rights reserved. + +Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: + + 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. + + 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer + in the documentation and/or other materials provided with the distribution. + + 3. The name of the author may not be used to endorse or promote products derived from this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, +THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS +BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE +GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY + OF SUCH DAMAGE. \ No newline at end of file diff --git a/dep/wavelib/README.md b/dep/wavelib/README.md new file mode 100644 index 0000000..03d0700 --- /dev/null +++ b/dep/wavelib/README.md @@ -0,0 +1,30 @@ +[![Build Status](https://travis-ci.org/rafat/wavelib.svg?branch=master)](https://travis-ci.org/rafat/wavelib) + +wavelib +======= + +C Implementation of Discrete Wavelet Transform (DWT,SWT and MODWT), Continuous Wavelet transform (CWT) and Discrete Packet Transform ( Full Tree Decomposition and Best Basis DWPT). + +Discrete Wavelet Transform Methods Implemented + +DWT/IDWT and DWT2/IDWT2 A decimated Discrete Wavelet Transform implementation using implicit signal extension and up/downsampling so it is a fast implementation. A FFT based implementation is optional but will not be usually needed. Both periodic and symmetric options are available. + +SWT/ISWT and SWT2/ISWT2 Stationary Wavelet Transform. It works only for signal lengths that are multiples of 2^J where J is the number of decomposition levels. For signals of other lengths see MODWT implementation. + +MODWT/IMODWT and MODWT2/IMODWT2 Maximal Overlap Discrete Wavelet Transform is another undecimated transform. It is implemented for signals of any length but only orthogonal wavelets (Daubechies, Symlets and Coiflets) can be deployed. This implementation is based on the method laid out in "Wavelet Methods For Wavelet Analysis" by Donald Percival and Andrew Walden. + +Discrete Wavelet Packet Transform Methods Implemented + +WTREE A Fully Decimated Wavelet Tree Decomposition. This is a highly redundant transform and retains all coefficients at each node. This is not recommended for compression and denoising applications. + +DWPT/IDWPT Is a derivative of WTREE method which retains coefficients based on entropy methods. This is a non-redundant transform and output length is of the same order as the input. + +CWT/ICWT C translation ( with some modifications) of Continuous Wavelet Transform Software provided by C. Torrence and G. Compo, and is available at URL: http://atoc.colorado.edu/research/wavelets/'. A generalized Inverse Transform with approximate reconstruction is also added. + +Documentation Available at - https://github.com/rafat/wavelib/wiki + +Live Demo of 1D DWT and 1D CWT (Emscripten) - http://rafat.github.io/wavelib/ + +License - BSD 3-Clause + +Contace - rafat.hsn@gmail.com diff --git a/dep/wavelib/WaveLibConfig.cmake.in b/dep/wavelib/WaveLibConfig.cmake.in new file mode 100644 index 0000000..a1e218c --- /dev/null +++ b/dep/wavelib/WaveLibConfig.cmake.in @@ -0,0 +1,19 @@ +@PACKAGE_INIT@ + +set(@PROJECT_NAME@_Version "@PROJECT_VERSION@") +set_and_check(@PROJECT_NAME@_INSTALL_PREFIX "${PACKAGE_PREFIX_DIR}") +set_and_check(@PROJECT_NAME@_INC_DIR "${PACKAGE_PREFIX_DIR}/include") +set_and_check(@PROJECT_NAME@_INCULDE_DIR "${PACKAGE_PREFIX_DIR}/include") +set_and_check(@PROJECT_NAME@_LIB_DIR "${PACKAGE_PREFIX_DIR}/lib") +set_and_check(@PROJECT_NAME@_LIBRARY_DIR "${PACKAGE_PREFIX_DIR}/lib") + +set(@PROJECT_NAME@_LIB wavelib) +set(@PROJECT_NAME@_LIBRARY wavelib) +set(@PROJECT_NAME@_FOUND 1) + +set(WauxLib_LIB wauxlib) +set(WauxLib_LIBRARY wauxlib) +set(WauxLib_FOUND 1) + +# include target information +include("${CMAKE_CURRENT_LIST_DIR}/@PROJECT_NAME@Targets.cmake") \ No newline at end of file diff --git a/dep/wavelib/appveyor.yml b/dep/wavelib/appveyor.yml new file mode 100644 index 0000000..f6eaa8d --- /dev/null +++ b/dep/wavelib/appveyor.yml @@ -0,0 +1,16 @@ +os: Visual Studio 2015 + +platform: x64 + +environment: + BOOST_ROOT: C:\Libraries\boost_1_59_0 + BOOST_LIBRARYDIR: C:\Libraries\boost_1_59_0\lib64-msvc-14.0 + +build_script: + - mkdir build + - cd build + - cmake -G "Visual Studio 14 2015 Win64" -DUSE_STATIC_BOOST=NO .. + - cmake --build . --config Debug + +test_script: + - ctest -VV -C Debug \ No newline at end of file diff --git a/dep/wavelib/auxiliary/CMakeLists.txt b/dep/wavelib/auxiliary/CMakeLists.txt new file mode 100644 index 0000000..dd2bfde --- /dev/null +++ b/dep/wavelib/auxiliary/CMakeLists.txt @@ -0,0 +1,53 @@ +# 设定源文件文件夹 +aux_source_directory(. WAUX_SRC) + +# 以下部分为库的编译 +# 注意目标名必须唯一 所以不能直接生成相同名称的动态库与静态库 +# 注意此处不必为目标名称添加lib前缀和相应后缀，cmake会自行添加 +add_library(wauxlib SHARED ${WAUX_SRC}) +# 首先添加静态库的生成命令 +add_library(wauxlib_static STATIC ${WAUX_SRC}) +# 设置静态库的输出名称从而获得与动态库名称相同的静态库 +set_target_properties(wauxlib_static PROPERTIES OUTPUT_NAME "wauxlib") +# 设置输出目标属性以同时输出动态库与静态库 +set_target_properties(wauxlib PROPERTIES CLEAN_DIRECT_OUTPUT 1) +set_target_properties(wauxlib_static PROPERTIES CLEAN_DIRECT_OUTPUT 1) +# 设置动态库的版本号 +set_target_properties(wauxlib PROPERTIES VERSION ${PROJECT_VERSION} SOVERSION ${PROJECT_VERSION_MAJOR}.${PROJECT_VERSION_MINOR}) + +target_link_libraries(wauxlib PUBLIC wavelib) +target_link_libraries(wauxlib_static PUBLIC wavelib_static) + +# 设置库文件的输出地址 +set(LIBRARY_OUTPUT_PATH ${PROJECT_BINARY_DIR}/lib) + +# 设置编译选项 +set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -O3") + +set(CONFIG_FILE_PATH lib/cmake/${PROJECT_NAME}) + +configure_package_config_file(${PROJECT_SOURCE_DIR}/${PROJECT_NAME}Config.cmake.in + ${CMAKE_BINARY_DIR}/${PROJECT_NAME}Config.cmake + INSTALL_DESTINATION ${CONFIG_FILE_PATH} + NO_CHECK_REQUIRED_COMPONENTS_MACRO) + +write_basic_package_version_file(${CMAKE_BINARY_DIR}/${PROJECT_NAME}ConfigVersion.cmake + VERSION ${PROJECT_VERSION} + COMPATIBILITY SameMajorVersion) + +# 库的安装命令 +if(WIN32) + install(TARGETS wauxlib DESTINATION lib) + install(TARGETS wauxlib_static DESTINATION lib) +else() + install(TARGETS wauxlib wauxlib_static + EXPORT ${PROJECT_NAME}Targets + LIBRARY DESTINATION lib + ARCHIVE DESTINATION lib) + install(EXPORT ${PROJECT_NAME}Targets + DESTINATION ${CONFIG_FILE_PATH}) + install(FILES + ${CMAKE_BINARY_DIR}/${PROJECT_NAME}Config.cmake + ${CMAKE_BINARY_DIR}/${PROJECT_NAME}ConfigVersion.cmake + DESTINATION ${CONFIG_FILE_PATH}) +endif() \ No newline at end of file diff --git a/dep/wavelib/auxiliary/denoise.c b/dep/wavelib/auxiliary/denoise.c new file mode 100644 index 0000000..a805aeb --- /dev/null +++ b/dep/wavelib/auxiliary/denoise.c @@ -0,0 +1,489 @@ +#include +#include +#include +#include + +#include "waux.h" +#include "../header/wauxlib.h" + +denoise_object denoise_init(int length, int J,const char* wname) { + denoise_object obj = NULL; + + obj = (denoise_object)malloc(sizeof(struct denoise_set) +sizeof(double)); + + obj->N = length; + obj->J = J; + + strcpy(obj->wname,wname); + + //Set Default Values + strcpy(obj->dmethod,"sureshrink"); + strcpy(obj->ext,"sym"); + strcpy(obj->level,"all"); + strcpy(obj->thresh,"soft"); + strcpy(obj->wmethod,"dwt"); + strcpy(obj->cmethod,"direct"); + + return obj; +} + +void visushrink(double *signal,int N,int J,const char *wname,const char *method,const char *ext,const char *thresh,const char *level,double *denoised) { + int filt_len,iter,i,dlen,dwt_len,sgn, MaxIter,it; + double sigma,td,tmp; + wave_object wave; + wt_object wt; + double *dout,*lnoise; + + wave = wave_init(wname); + + filt_len = wave->filtlength; + + MaxIter = (int) (log((double)N / ((double)filt_len - 1.0)) / log(2.0)); + + if (J > MaxIter) { + printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n",MaxIter); + exit(-1); + } + + wt = wt_init(wave,method,N,J); + if(!strcmp(method,"dwt")) { + setDWTExtension(wt,ext); + dwt(wt,signal); + } else if(!strcmp(method,"swt")) { + swt(wt,signal); + } else { + printf("Acceptable WT methods are - dwt,swt and modwt\n"); + exit(-1); + } + + lnoise = (double*)malloc(sizeof(double) * J); + + //Set sigma + + iter = wt->length[0]; + dlen = wt->length[J]; + + dout = (double*)malloc(sizeof(double) * dlen); + + if(!strcmp(level,"first")) { + for (i = 1; i < J; ++i) { + iter += wt->length[i]; + } + + for(i = 0; i < dlen;++i) { + dout[i] = fabs(wt->output[iter+i]); + } + + sigma = median(dout,dlen) / 0.6745; + for(it = 0; it < J;++it) { + lnoise[it] = sigma; + } + } else if(!strcmp(level,"all")){ + for(it = 0; it < J;++it) { + dlen = wt->length[it+1]; + for(i = 0; i < dlen;++i) { + dout[i] = fabs(wt->output[iter+i]); + } + sigma = median(dout,dlen) / 0.6745; + lnoise[it] = sigma; + iter += dlen; + } + + } else { + printf("Acceptable Noise estimation level values are - first and all \n"); + exit(-1); + } + + dwt_len = wt->outlength; + iter = wt->length[0]; + for(it = 0; it < J;++it) { + sigma = lnoise[it]; + dlen = wt->length[it+1]; + td = sqrt(2.0 * log(dwt_len)) * sigma; + + if(!strcmp(thresh,"hard")) { + for(i = 0; i < dlen;++i) { + if (fabs(wt->output[iter+i]) < td) { + wt->output[iter+i] = 0; + } + } + } else if(!strcmp(thresh,"soft")) { + for(i = 0; i < dlen;++i) { + if (fabs(wt->output[iter + i]) < td) { + wt->output[iter+i] = 0; + } else { + sgn = wt->output[iter+i] >= 0 ? 1 : -1; + tmp = sgn * (fabs(wt->output[iter+i]) - td); + wt->output[iter+i] = tmp; + } + } + } + + iter += wt->length[it+1]; + } + + if(!strcmp(method,"dwt")) { + idwt(wt,denoised); + } else if(!strcmp(method,"swt")) { + iswt(wt,denoised); + } + + free(dout); + free(lnoise); + wave_free(wave); + wt_free(wt); +} + +void sureshrink(double *signal,int N,int J,const char *wname,const char *method,const char *ext,const char *thresh,const char *level,double *denoised) { + int filt_len,i,it,len,dlen,dwt_len,min_index,sgn, MaxIter,iter; + double sigma,norm,td,tv,te,ct,thr,temp,x_sum; + wave_object wave; + wt_object wt; + double *dout,*risk,*dsum,*lnoise; + + wave = wave_init(wname); + + filt_len = wave->filtlength; + + MaxIter = (int) (log((double)N / ((double)filt_len - 1.0)) / log(2.0)); + // Depends on J + if (J > MaxIter) { + printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n",MaxIter); + exit(-1); + } + + wt = wt_init(wave,method,N,J); + + if(!strcmp(method,"dwt")) { + setDWTExtension(wt,ext); + dwt(wt,signal); + } else if(!strcmp(method,"swt")) { + swt(wt,signal); + } else { + printf("Acceptable WT methods are - dwt and swt\n"); + exit(-1); + } + + len = wt->length[0]; + dlen = wt->length[J]; + + dout = (double*)malloc(sizeof(double) * dlen); + risk = (double*)malloc(sizeof(double) * dlen); + dsum = (double*)malloc(sizeof(double) * dlen); + lnoise = (double*)malloc(sizeof(double) * J); + + iter = wt->length[0]; + + if(!strcmp(level,"first")) { + for (i = 1; i < J; ++i) { + iter += wt->length[i]; + } + + for(i = 0; i < dlen;++i) { + dout[i] = fabs(wt->output[iter+i]); + } + + sigma = median(dout,dlen) / 0.6745; + for(it = 0; it < J;++it) { + lnoise[it] = sigma; + } + } else if(!strcmp(level,"all")){ + for(it = 0; it < J;++it) { + dlen = wt->length[it+1]; + for(i = 0; i < dlen;++i) { + dout[i] = fabs(wt->output[iter+i]); + } + sigma = median(dout,dlen) / 0.6745; + lnoise[it] = sigma; + iter += dlen; + } + + } else { + printf("Acceptable Noise estimation level values are - first and all \n"); + exit(-1); + } + + + for(it = 0; it < J;++it) { + dwt_len = wt->length[it+1]; + sigma = lnoise[it]; + + if ( sigma < 0.00000001) { + td = 0; + } else { + tv = sqrt(2.0 * log(dwt_len)); + norm = 0.0; + for(i = 0; i < dwt_len;++i) { + norm += (wt->output[len+i] *wt->output[len+i] /(sigma*sigma)); + } + te =(norm - (double) dwt_len)/(double) dwt_len; + ct = pow(log((double) dwt_len)/log(2.0),1.5)/sqrt((double) dwt_len); + + if (te < ct) { + td = tv; + } else { + x_sum = 0.0; + + for(i = 0; i < dwt_len;++i) { + dout[i] = fabs(wt->output[len+i]/sigma); + } + + qsort(dout, dwt_len, sizeof(double), compare_double); + for(i = 0; i < dwt_len;++i) { + dout[i] = (dout[i]*dout[i]); + x_sum += dout[i]; + dsum[i] = x_sum; + } + + for(i = 0;i < dwt_len;++i) { + risk[i] = ((double)dwt_len - 2 * ((double)i + 1) +dsum[i] + + dout[i]*((double)dwt_len - 1 -(double) i))/(double)dwt_len; + } + min_index = minindex(risk,dwt_len); + thr = sqrt(dout[min_index]); + td = thr < tv ? thr : tv; + } + } + + td = td * sigma; + + if(!strcmp(thresh,"hard")) { + for(i = 0; i < dwt_len;++i) { + if (fabs(wt->output[len+i]) < td) { + wt->output[len+i] = 0; + } + } + } else if(!strcmp(thresh,"soft")) { + for(i = 0; i < dwt_len;++i) { + if (fabs(wt->output[len + i]) < td) { + wt->output[len+i] = 0; + } else { + sgn = wt->output[len+i] >= 0 ? 1 : -1; + temp = sgn * (fabs(wt->output[len+i]) - td); + wt->output[len+i] = temp; + } + } + } + + len += wt->length[it+1]; + } + + if(!strcmp(method,"dwt")) { + idwt(wt,denoised); + } else if(!strcmp(method,"swt")) { + iswt(wt,denoised); + } + free(dout); + free(dsum); + free(risk); + free(lnoise); + wave_free(wave); + wt_free(wt); +} + +void modwtshrink(double *signal, int N, int J, const char *wname, const char *cmethod, const char *ext, const char *thresh, double *denoised) { + int filt_len, iter, i, dlen, sgn, MaxIter, it; + double sigma, td, tmp, M, llen; + wave_object wave; + wt_object wt; + double *dout, *lnoise; + + wave = wave_init(wname); + + filt_len = wave->filtlength; + + MaxIter = (int)(log((double)N / ((double)filt_len - 1.0)) / log(2.0)); + + if (J > MaxIter) { + printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n", MaxIter); + exit(-1); + } + + wt = wt_init(wave, "modwt", N, J); + + if (!strcmp(ext, "sym") && !strcmp(cmethod,"fft")) { + setWTConv(wt, "fft"); + setDWTExtension(wt, "sym"); + } + else if (!strcmp(ext, "sym") && !strcmp(cmethod, "direct")) { + printf("Symmetric Extension is not available for direct method"); + exit(-1); + } + else if (!strcmp(ext, "per") && !strcmp(cmethod, "direct")) { + setWTConv(wt, "direct"); + setDWTExtension(wt, "per"); + } + else if (!strcmp(ext, "per") && !strcmp(cmethod, "fft")) { + setWTConv(wt, "fft"); + setDWTExtension(wt, "per"); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + modwt(wt, signal); + + lnoise = (double*)malloc(sizeof(double)* J); + + //Set sigma + + iter = wt->length[0]; + dlen = wt->length[J]; + dout = (double*)malloc(sizeof(double)* dlen); + + for (it = 0; it < J; ++it) { + dlen = wt->length[it + 1]; + for (i = 0; i < dlen; ++i) { + dout[i] = fabs(wt->output[iter + i]); + } + + sigma = sqrt(2.0) * median(dout, dlen) / 0.6745; + lnoise[it] = sigma; + iter += dlen; + } + + M = pow(2.0,J); + llen = log((double)wt->modwtsiglength); + // Thresholding + + iter = wt->length[0]; + for (it = 0; it < J; ++it) { + sigma = lnoise[it]; + dlen = wt->length[it + 1]; + td = sqrt(2.0 * llen / M) * sigma; + + if (!strcmp(thresh, "hard")) { + for (i = 0; i < dlen; ++i) { + if (fabs(wt->output[iter + i]) < td) { + wt->output[iter + i] = 0; + } + } + } + else if (!strcmp(thresh, "soft")) { + for (i = 0; i < dlen; ++i) { + if (fabs(wt->output[iter + i]) < td) { + wt->output[iter + i] = 0; + } + else { + sgn = wt->output[iter + i] >= 0 ? 1 : -1; + tmp = sgn * (fabs(wt->output[iter + i]) - td); + wt->output[iter + i] = tmp; + } + } + } + + iter += wt->length[it + 1]; + M /= 2.0; + } + + imodwt(wt, denoised); + + free(dout); + free(lnoise); + wave_free(wave); + wt_free(wt); +} + + +void denoise(denoise_object obj, double *signal,double *denoised) { + if(!strcmp(obj->dmethod,"sureshrink")) { + if (!strcmp(obj->wmethod, "modwt")) { + printf("sureshrink method only works with swt and dwt. Please use setDenoiseWTMethod to set the correct method\n"); + exit(-1); + } + sureshrink(signal,obj->N,obj->J,obj->wname,obj->wmethod,obj->ext,obj->thresh,obj->level,denoised); + } else if(!strcmp(obj->dmethod,"visushrink")) { + if (!strcmp(obj->wmethod, "modwt")) { + printf("visushrink method only works with swt and dwt. Please use setDenoiseWTMethod to set the correct method\n"); + exit(-1); + } + visushrink(signal,obj->N,obj->J,obj->wname,obj->wmethod,obj->ext,obj->thresh,obj->level,denoised);; + } else if(!strcmp(obj->dmethod,"modwtshrink")) { + if (strcmp(obj->wmethod, "modwt")) { + printf("modwtshrink method only works with modwt. Please use setDenoiseWTMethod to set the correct method\n"); + exit(-1); + } + modwtshrink(signal,obj->N,obj->J,obj->wname,obj->cmethod,obj->ext,obj->thresh,denoised);; + } else { + printf("Acceptable Denoising methods are - sureshrink and visushrink\n"); + exit(-1); + } +} + +void setDenoiseMethod(denoise_object obj, const char *dmethod) { + if (!strcmp(dmethod, "sureshrink")) { + strcpy(obj->dmethod, "sureshrink"); + } + else if (!strcmp(dmethod, "visushrink")) { + strcpy(obj->dmethod, "visushrink"); + } + else if (!strcmp(dmethod, "modwtshrink")) { + strcpy(obj->dmethod, "modwtshrink"); + } + else { + printf("Acceptable Denoising methods are - sureshrink, visushrink and modwtshrink\n"); + exit(-1); + } +} + +void setDenoiseWTMethod(denoise_object obj, const char *wmethod) { + if (!strcmp(wmethod, "dwt")) { + strcpy(obj->wmethod, "dwt"); + } + else if (!strcmp(wmethod, "swt")) { + strcpy(obj->wmethod, "swt"); + } + else if (!strcmp(wmethod, "modwt")) { + strcpy(obj->wmethod, "modwt"); + } + else { + printf("Wavelet decomposition method can be one of dwt, modwt or swt.\n"); + exit(-1); + } +} + +void setDenoiseWTExtension(denoise_object obj, const char *extension) { + if (!strcmp(extension, "sym")) { + strcpy(obj->ext, "sym"); + } + else if (!strcmp(extension, "per")) { + strcpy(obj->ext, "per"); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } +} + +void setDenoiseParameters(denoise_object obj, const char *thresh,const char *level) { + + //Set thresholding + if (!strcmp(thresh, "soft")) { + strcpy(obj->thresh, "soft"); + } + else if (!strcmp(thresh, "hard")) { + strcpy(obj->thresh, "hard"); + } + else { + printf("Thresholding Method - soft or hard"); + exit(-1); + } + + // Set Noise estimation at the first level or at all levels + + if (!strcmp(level, "first")) { + strcpy(obj->level, "first"); + } + else if (!strcmp(level, "all")) { + strcpy(obj->level, "all"); + } + else { + printf("Noise Estimation at level - first or all"); + exit(-1); + } +} + +void denoise_free(denoise_object object) { + free(object); +} diff --git a/dep/wavelib/auxiliary/waux.c b/dep/wavelib/auxiliary/waux.c new file mode 100644 index 0000000..74012ad --- /dev/null +++ b/dep/wavelib/auxiliary/waux.c @@ -0,0 +1,324 @@ +#include "../header/wauxlib.h" +#include "waux.h" + +int compare_double(const void* a, const void* b) +{ + double arg1 = *(const double*)a; + double arg2 = *(const double*)b; + + if (arg1 < arg2) return -1; + if (arg1 > arg2) return 1; + return 0; + +} + +double mean(const double* vec, int N) { + int i; + double m; + m = 0.0; + + for (i = 0; i < N; ++i) { + m+= vec[i]; + } + m = m / N; + return m; +} + +double var(const double* vec, int N) { + double v,temp,m; + int i; + v = 0.0; + m = mean(vec,N); + + for (i = 0; i < N; ++i) { + temp = vec[i] - m; + v+= temp*temp; + } + + v = v / N; + + return v; + +} + +double median(double *x, int N) { + double sigma; + + qsort(x, N, sizeof(double), compare_double); + + if ((N % 2) == 0) { + sigma = (x[N/2 - 1] + x[N/2] ) / 2.0; + } else { + sigma = x[N/2]; + } + + return sigma; +} + +double mad(double *x, int N) { + double sigma; + int i; + + sigma = median(x,N); + + for(i = 0; i < N;++i) { + x[i] = (x[i] - sigma) > 0 ? (x[i] - sigma) : -(x[i] - sigma); + } + + sigma = median(x,N); + + return sigma; +} + +int minindex(const double *arr, int N) { + double min; + int index,i; + + min = DBL_MAX; + index = 0; + for(i = 0; i < N;++i) { + if (arr[i] < min) { + min = arr[i]; + index = i; + } + } + + return index; + +} + +void getDWTAppx(wt_object wt, double *appx,int N) { + /* + Wavelet decomposition is stored as + [A(J) D(J) D(J-1) ..... D(1)] in wt->output vector + + Length of A(J) , N = wt->length[0] + */ + int i; + + for (i = 0; i < N; ++i) { + appx[i] = wt->output[i]; + } +} + +void getDWTDetail(wt_object wt, double *detail, int N, int level) { + /* + returns Detail coefficents at the jth level where j = J,J-1,...,1 + and Wavelet decomposition is stored as + [A(J) D(J) D(J-1) ..... D(1)] in wt->output vector + Use getDWTAppx() to get A(J) + Level 1 : Length of D(J), ie N, is stored in wt->length[1] + Level 2 :Length of D(J-1), ie N, is stored in wt->length[2] + .... + Level J : Length of D(1), ie N, is stored in wt->length[J] + */ + int i, iter, J; + J = wt->J; + + if (level > J || level < 1) { + printf("The decomposition only has 1,..,%d levels", J); + exit(-1); + } + + iter = wt->length[0]; + + for (i = 1; i < J-level; ++i) { + iter += wt->length[i]; + } + + for (i = 0; i < N; ++i) { + detail[i] = wt->output[i + iter]; + } +} + +void getDWTRecCoeff(double *coeff,int *length,const char *ctype,const char *ext, int level, int J,double *lpr, + double *hpr,int lf,int siglength,double *reccoeff) { + + int i,j,k,det_len,N,l,m,n,v,t,l2; + double *out,*X_lp,*filt; + out = (double*)malloc(sizeof(double)* (siglength + 1)); + l2 = lf / 2; + m = -2; + n = -1; + if (!strcmp(ext, "per")) { + if (!strcmp((ctype), "appx")) { + det_len = length[0]; + } else { + det_len = length[J - level + 1]; + } + + N = 2 * length[J]; + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + + for (i = 0; i < det_len; ++i) { + out[i] = coeff[i]; + } + + for (j = level; j > 0; --j) { + + //idwt1(wt, temp, cA_up, out, det_len, wt->output + iter, det_len, X_lp, X_hp, out); + + if (!strcmp((ctype), "det") && j == level) { + filt = hpr; + } else { + filt = lpr; + } + + //idwt_per(wt,out, det_len, wt->output + iter, det_len, X_lp); + m = -2; + n = -1; + + for (i = 0; i < det_len + l2 - 1; ++i) { + m += 2; + n += 2; + X_lp[m] = 0.0; + X_lp[n] = 0.0; + for (l = 0; l < l2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < det_len) { + X_lp[m] += filt[t] * out[i - l]; + X_lp[n] += filt[t + 1] * out[i - l]; + } + else if ((i - l) >= det_len && (i-l) < det_len + lf - 1) { + X_lp[m] += filt[t] * out[i - l - det_len]; + X_lp[n] += filt[t + 1] * out[i - l - det_len]; + } + else if ((i - l) < 0 && (i-l) > -l2) { + X_lp[m] += filt[t] * out[det_len + i - l] ; + X_lp[n] += filt[t + 1] * out[det_len + i - l]; + } + } + } + + for (k = lf/2 - 1; k < 2 * det_len + lf/2 - 1; ++k) { + out[k - lf/2 + 1] = X_lp[k]; + } + + if (j != 1) { + det_len = length[J - j + 2]; + } + } + + free(X_lp); + + } + else if (!strcmp(ext, "sym")) { + if (!strcmp((ctype), "appx")) { + det_len = length[0]; + } else { + det_len = length[J - level + 1]; + } + + N = 2 * length[J] - 1; + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + + for (i = 0; i < det_len; ++i) { + out[i] = coeff[i]; + } + + for (j = level; j > 0; --j) { + + //idwt1(wt, temp, cA_up, out, det_len, wt->output + iter, det_len, X_lp, X_hp, out); + + if (!strcmp((ctype), "det") && j == level) { + filt = hpr; + } else { + filt = lpr; + } + + //idwt_sym(wt, out, det_len, wt->output + iter, det_len, X_lp); + + m = -2; + n = -1; + + for (v = 0; v < det_len; ++v) { + i = v; + m += 2; + n += 2; + X_lp[m] = 0.0; + X_lp[n] = 0.0; + for (l = 0; l < lf / 2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < det_len) { + X_lp[m] += filt[t] * out[i - l]; + X_lp[n] += filt[t + 1] * out[i - l]; + } + } + } + + for (k = lf-2; k < 2 * det_len; ++k) { + out[k - lf + 2] = X_lp[k]; + } + + + if (j != 1) { + det_len = length[J - j + 2]; + } + } + + free(X_lp); + + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + for (i = 0; i < siglength; ++i) { + reccoeff[i] = out[i]; + } + + free(out); + +} + + +void autocovar(const double* vec,int N, double* acov,int M) { + double m,temp1,temp2; + int i,t; + m = mean(vec,N); + + if ( M > N) { + M = N-1; + printf("\n Lag is greater than the length N of the input vector. It is automatically set to length N - 1.\n"); + printf("\n The Output Vector only contains N calculated values."); + } else if ( M < 0) { + M = 0; + } + + for(i = 0; i < M;i++) { + acov[i] = 0.0; + for (t = 0; t < N-i;t++) { + temp1 = vec[t] - m; + temp2 = vec[t+i] - m; + acov[i]+= temp1*temp2; + } + acov[i] = acov[i] / N; + + } + + +} + +void autocorr(const double* vec,int N,double* acorr, int M) { + double var; + int i; + if (M > N) { + M = N - 1; + printf("\n Lag is greater than the length N of the input vector. It is automatically set to length N - 1.\n"); + printf("\n The Output Vector only contains N calculated values."); + } + else if (M < 0) { + M = 0; + } + autocovar(vec,N,acorr,M); + var = acorr[0]; + acorr[0] = 1.0; + + for(i = 1; i < M; i++) { + acorr[i] = acorr[i]/var; + } + +} diff --git a/dep/wavelib/auxiliary/waux.h b/dep/wavelib/auxiliary/waux.h new file mode 100644 index 0000000..f4d99d7 --- /dev/null +++ b/dep/wavelib/auxiliary/waux.h @@ -0,0 +1,47 @@ +/* + * waux.h + * + * Created on: Aug 22, 2017 + * Author: Rafat Hussain + */ + +#ifndef AUXILIARY_WAUX_H_ +#define AUXILIARY_WAUX_H_ + +#include +#include +#include +#include +#include +#include "../header/wavelib.h" + +#ifdef __cplusplus +extern "C" { +#endif + +int compare_double(const void* a, const void* b); + +double mean(const double* vec, int N); + +double var(const double* vec, int N); + +double median(double *x, int N); + +int minindex(const double *arr, int N); + +void getDWTAppx(wt_object wt, double *appx,int N); + +void getDWTDetail(wt_object wt, double *detail, int N, int level); + +void autocovar(const double* vec,int N,double* acov, int M); + +void autocorr(const double* vec,int N,double* acorr, int M); + + +#ifdef __cplusplus +} +#endif + + + +#endif /* AUXILIARY_WAUX_H_ */ diff --git a/dep/wavelib/config.sh b/dep/wavelib/config.sh new file mode 100755 index 0000000..735a42a --- /dev/null +++ b/dep/wavelib/config.sh @@ -0,0 +1,17 @@ +#!/bin/bash + +cmd=${1} +package=wavelib +address=/opt/stow +targetdir=/usr/local + +if [[ ${cmd} == "configure" && ! -d "build/" ]]; then + mkdir build && cd build && cmake .. -DCMAKE_INSTALL_PREFIX=${address}/${package} -DCMAKE_BUILD_TYPE=Release +elif [[ ${cmd} == "configure" ]]; then + cd build && rm -rf * && cmake .. -DCMAKE_INSTALL_PREFIX=${address}/${package} -DCMAKE_BUILD_TYPE=Release +elif [[ ${cmd} == "build" ]]; then + cd build && make +elif [[ ${cmd} == "install" ]]; then + cd build && sudo make install + sudo stow --dir=${address} --target=${targetdir} ${package} +fi \ No newline at end of file diff --git a/dep/wavelib/header/wauxlib.h b/dep/wavelib/header/wauxlib.h new file mode 100644 index 0000000..65c7e1e --- /dev/null +++ b/dep/wavelib/header/wauxlib.h @@ -0,0 +1,60 @@ +/* +Copyright (c) 2017, Rafat Hussain +*/ +#ifndef WAUXLIB_H_ +#define WAUXLIB_H_ + +#include "wavelib.h" + +#ifdef __cplusplus +extern "C" { +#endif + +typedef struct denoise_set* denoise_object; + +denoise_object denoise_init(int length, int J,const char* wname); + +struct denoise_set{ + int N; //signal length + int J; // Levels of Wavelet decomposition + char wname[10]; //Wavelet name + char wmethod[10]; //Wavelet decomposition method - dwt or swt + char cmethod[10]; //Cnvolution Method - direct or fft . Available only for modwt. + // SWT and DWT only use direct method. + char ext[10]; // Signal Extension - sym or per + char thresh[10]; // thresholding - soft or hard + char level[10]; // Noise Estimation level - first or all + char dmethod[20]; //Denoising Method -sureshrink or visushrink + //double params[0]; +}; + +void visushrink(double *signal,int N,int J,const char *wname,const char *method,const char *ext,const char *thresh,const char *level,double *denoised); + +void sureshrink(double *signal,int N,int J,const char *wname,const char *method,const char *ext,const char *thresh,const char *level,double *denoised); + +void modwtshrink(double *signal, int N, int J, const char *wname, const char *cmethod, const char *ext, const char *thresh, double *denoised); + +void denoise(denoise_object obj, double *signal,double *denoised); + +void setDenoiseMethod(denoise_object obj, const char *dmethod); + +void setDenoiseWTMethod(denoise_object obj, const char *wmethod); + +void setDenoiseWTExtension(denoise_object obj, const char *extension); + +void setDenoiseParameters(denoise_object obj, const char *thresh,const char *level); + +void denoise_free(denoise_object object); + +void getDWTRecCoeff(double *coeff,int *length,const char *ctype,const char *ext, int level, int J,double *lpr, + double *hpr,int lf,int siglength,double *reccoeff); + +double mad(double *x, int N); + + +#ifdef __cplusplus +} +#endif + + +#endif /* WAUXLIB_H_ */ diff --git a/dep/wavelib/header/wavelib.h b/dep/wavelib/header/wavelib.h new file mode 100755 index 0000000..b4bb293 --- /dev/null +++ b/dep/wavelib/header/wavelib.h @@ -0,0 +1,317 @@ +#ifndef WAVELIB_H_ +#define WAVELIB_H_ + +#ifdef __cplusplus +extern "C" { +#endif + +#if defined(_MSC_VER) +#pragma warning(disable : 4200) +#pragma warning(disable : 4996) +#endif + +#ifndef fft_type +#define fft_type double +#endif + +#ifndef cplx_type +#define cplx_type double +#endif + + +typedef struct cplx_t { + cplx_type re; + cplx_type im; +} cplx_data; + +typedef struct wave_set* wave_object; + +wave_object wave_init(const char* wname); + +struct wave_set{ + char wname[50]; + int filtlength;// When all filters are of the same length. [Matlab uses zero-padding to make all filters of the same length] + int lpd_len;// Default filtlength = lpd_len = lpr_len = hpd_len = hpr_len + int hpd_len; + int lpr_len; + int hpr_len; + double *lpd; + double *hpd; + double *lpr; + double *hpr; + double params[0]; +}; + +typedef struct fft_t { + fft_type re; + fft_type im; +} fft_data; + +typedef struct fft_set* fft_object; + +fft_object fft_init(int N, int sgn); + +struct fft_set{ + int N; + int sgn; + int factors[64]; + int lf; + int lt; + fft_data twiddle[1]; +}; + +typedef struct fft_real_set* fft_real_object; + +fft_real_object fft_real_init(int N, int sgn); + +struct fft_real_set{ + fft_object cobj; + fft_data twiddle2[1]; +}; + +typedef struct conv_set* conv_object; + +conv_object conv_init(int N, int L); + +struct conv_set{ + fft_real_object fobj; + fft_real_object iobj; + int ilen1; + int ilen2; + int clen; +}; + +typedef struct wt_set* wt_object; + +wt_object wt_init(wave_object wave,const char* method, int siglength, int J); + +struct wt_set{ + wave_object wave; + conv_object cobj; + char method[10]; + int siglength;// Length of the original signal. + int modwtsiglength; // Modified signal length for MODWT + int outlength;// Length of the output DWT vector + int lenlength;// Length of the Output Dimension Vector "length" + int J; // Number of decomposition Levels + int MaxIter;// Maximum Iterations J <= MaxIter + int even;// even = 1 if signal is of even length. even = 0 otherwise + char ext[10];// Type of Extension used - "per" or "sym" + char cmethod[10]; // Convolution Method - "direct" or "FFT" + + int N; // + int cfftset; + int zpad; + int length[102]; + double *output; + double params[0]; +}; + +typedef struct wtree_set* wtree_object; + +wtree_object wtree_init(wave_object wave, int siglength, int J); + +struct wtree_set{ + wave_object wave; + conv_object cobj; + char method[10]; + int siglength;// Length of the original signal. + int outlength;// Length of the output DWT vector + int lenlength;// Length of the Output Dimension Vector "length" + int J; // Number of decomposition Levels + int MaxIter;// Maximum Iterations J <= MaxIter + int even;// even = 1 if signal is of even length. even = 0 otherwise + char ext[10];// Type of Extension used - "per" or "sym" + + int N; // + int nodes; + int cfftset; + int zpad; + int length[102]; + double *output; + int *nodelength; + int *coeflength; + double params[0]; +}; + +typedef struct wpt_set* wpt_object; + +wpt_object wpt_init(wave_object wave, int siglength, int J); + +struct wpt_set{ + wave_object wave; + conv_object cobj; + int siglength;// Length of the original signal. + int outlength;// Length of the output DWT vector + int lenlength;// Length of the Output Dimension Vector "length" + int J; // Number of decomposition Levels + int MaxIter;// Maximum Iterations J <= MaxIter + int even;// even = 1 if signal is of even length. even = 0 otherwise + char ext[10];// Type of Extension used - "per" or "sym" + char entropy[20]; + double eparam; + + int N; // + int nodes; + int length[102]; + double *output; + double *costvalues; + double *basisvector; + int *nodeindex; + int *numnodeslevel; + int *coeflength; + double params[0]; +}; + + +typedef struct cwt_set* cwt_object; + +cwt_object cwt_init(const char* wave, double param, int siglength,double dt, int J); + +struct cwt_set{ + char wave[10];// Wavelet - morl/morlet,paul,dog/dgauss + int siglength;// Length of Input Data + int J;// Total Number of Scales + double s0;// Smallest scale. It depends on the sampling rate. s0 <= 2 * dt for most wavelets + double dt;// Sampling Rate + double dj;// Separation between scales. eg., scale = s0 * 2 ^ ( [0:N-1] *dj ) or scale = s0 *[0:N-1] * dj + char type[10];// Scale Type - Power or Linear + int pow;// Base of Power in case type = pow. Typical value is pow = 2 + int sflag; + int pflag; + int npad; + int mother; + double m;// Wavelet parameter param + double smean;// Input Signal mean + + cplx_data *output; + double *scale; + double *period; + double *coi; + double params[0]; +}; + +typedef struct wt2_set* wt2_object; + +wt2_object wt2_init(wave_object wave, const char* method, int rows, int cols, int J); + +struct wt2_set{ + wave_object wave; + char method[10]; + int rows;// Matrix Number of rows + int cols; // Matrix Number of columns + int outlength;// Length of the output DWT vector + int J; // Number of decomposition Levels + int MaxIter;// Maximum Iterations J <= MaxIter + char ext[10];// Type of Extension used - "per" or "sym" + int coeffaccesslength; + + int N; // + int *dimensions; + int *coeffaccess; + int params[0]; +}; + +void dwt(wt_object wt, const double *inp); + +void idwt(wt_object wt, double *dwtop); + +double *getDWTmra(wt_object wt, double *wavecoeffs); + +void wtree(wtree_object wt, const double *inp); + +void dwpt(wpt_object wt, const double *inp); + +void idwpt(wpt_object wt, double *dwtop); + +void swt(wt_object wt, const double *inp); + +void iswt(wt_object wt, double *swtop); + +double *getSWTmra(wt_object wt, double *wavecoeffs); + +void modwt(wt_object wt, const double *inp); + +void imodwt(wt_object wt, double *dwtop); + +double* getMODWTmra(wt_object wt, double *wavecoeffs); + +void setDWTExtension(wt_object wt, const char *extension); + +void setWTREEExtension(wtree_object wt, const char *extension); + +void setDWPTExtension(wpt_object wt, const char *extension); + +void setDWT2Extension(wt2_object wt, const char *extension); + +void setDWPTEntropy(wpt_object wt, const char *entropy, double eparam); + +void setWTConv(wt_object wt, const char *cmethod); + +int getWTREENodelength(wtree_object wt, int X); + +void getWTREECoeffs(wtree_object wt, int X, int Y, double *coeffs, int N); + +int getDWPTNodelength(wpt_object wt, int X); + +void getDWPTCoeffs(wpt_object wt, int X, int Y, double *coeffs, int N); + +void setCWTScales(cwt_object wt, double s0, double dj, const char *type, int power); + +void setCWTScaleVector(cwt_object wt, const double *scale, int J, double s0, double dj); + +void setCWTPadding(cwt_object wt, int pad); + +void cwt(cwt_object wt, const double *inp); + +void icwt(cwt_object wt, double *cwtop); + +int getCWTScaleLength(int N); + +double* dwt2(wt2_object wt, double *inp); + +void idwt2(wt2_object wt,double *wavecoeff, double *oup); + +double* swt2(wt2_object wt, double *inp); + +void iswt2(wt2_object wt, double *wavecoeffs, double *oup); + +double* modwt2(wt2_object wt, double *inp); + +void imodwt2(wt2_object wt, double *wavecoeff, double *oup); + +double* getWT2Coeffs(wt2_object wt,double* wcoeffs, int level,char *type, int *rows, int *cols); + +void dispWT2Coeffs(double *A, int row, int col); + +void wave_summary(wave_object obj); + +void wt_summary(wt_object wt); + +void wtree_summary(wtree_object wt); + +void wpt_summary(wpt_object wt); + +void cwt_summary(cwt_object wt); + +void wt2_summary(wt2_object wt); + +void wave_free(wave_object object); + +void wt_free(wt_object object); + +void wtree_free(wtree_object object); + +void wpt_free(wpt_object object); + +void cwt_free(cwt_object object); + +void wt2_free(wt2_object wt); + + +#ifdef __cplusplus +} +#endif + + +#endif /* WAVELIB_H_ */ diff --git a/dep/wavelib/src/CMakeLists.txt b/dep/wavelib/src/CMakeLists.txt new file mode 100644 index 0000000..a7f1053 --- /dev/null +++ b/dep/wavelib/src/CMakeLists.txt @@ -0,0 +1,52 @@ +# 设定源文件文件夹 +aux_source_directory(. WAVE_SRC) + +# 以下部分为库的编译 +# 注意目标名必须唯一 所以不能直接生成相同名称的动态库与静态库 +# 注意此处不必为目标名称添加lib前缀和相应后缀，cmake会自行添加 +add_library(wavelib SHARED ${WAVE_SRC}) +# 首先添加静态库的生成命令 +add_library(wavelib_static STATIC ${WAVE_SRC}) +# 设置静态库的输出名称从而获得与动态库名称相同的静态库 +set_target_properties(wavelib_static PROPERTIES OUTPUT_NAME "wavelib") +# 设置输出目标属性以同时输出动态库与静态库 +set_target_properties(wavelib PROPERTIES CLEAN_DIRECT_OUTPUT 1) +set_target_properties(wavelib_static PROPERTIES CLEAN_DIRECT_OUTPUT 1) +# 设置动态库的版本号 +set_target_properties(wavelib PROPERTIES VERSION ${PROJECT_VERSION} SOVERSION ${PROJECT_VERSION_MAJOR}.${PROJECT_VERSION_MINOR}) +# 设置库文件的输出地址 +set(LIBRARY_OUTPUT_PATH ${PROJECT_BINARY_DIR}/lib) + +# 设置编译选项 +set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} -O3") + +set(CONFIG_FILE_PATH lib/cmake/${PROJECT_NAME}) + +configure_package_config_file(${PROJECT_SOURCE_DIR}/${PROJECT_NAME}Config.cmake.in + ${CMAKE_BINARY_DIR}/${PROJECT_NAME}Config.cmake + INSTALL_DESTINATION ${CONFIG_FILE_PATH} + NO_CHECK_REQUIRED_COMPONENTS_MACRO) + +write_basic_package_version_file(${CMAKE_BINARY_DIR}/${PROJECT_NAME}ConfigVersion.cmake + VERSION ${PROJECT_VERSION} + COMPATIBILITY SameMajorVersion) + +# 库的安装命令 +if(WIN32) + install(TARGETS wavelib DESTINATION lib) + install(TARGETS wavelib_static DESTINATION lib) +else() + install(TARGETS wavelib wavelib_static + EXPORT ${PROJECT_NAME}Targets + LIBRARY DESTINATION lib + ARCHIVE DESTINATION lib) + install(EXPORT ${PROJECT_NAME}Targets + DESTINATION ${CONFIG_FILE_PATH}) + install(FILES + ${CMAKE_BINARY_DIR}/${PROJECT_NAME}Config.cmake + ${CMAKE_BINARY_DIR}/${PROJECT_NAME}ConfigVersion.cmake + DESTINATION ${CONFIG_FILE_PATH}) +endif() +# 头文件安装命令 +install(FILES ../header/wavelib.h DESTINATION include) +install(FILES ../header/wauxlib.h DESTINATION include) \ No newline at end of file diff --git a/dep/wavelib/src/conv.c b/dep/wavelib/src/conv.c new file mode 100644 index 0000000..c8c8c08 --- /dev/null +++ b/dep/wavelib/src/conv.c @@ -0,0 +1,210 @@ +/* + * conv.c + * + * Created on: May 1, 2013 + * Author: Rafat Hussain + */ + +#include "conv.h" + +int factorf(int M) { + int N; + N = M; + while (N%7 == 0){ + N = N/7; + } + while (N%3 == 0){ + N = N/3; + } + while (N%5 == 0){ + N = N/5; + } + while (N%2 == 0){ + N = N/2; + } + + return N; +} + + +int findnext(int M) { + int N; + N = M; + + while (factorf(N) != 1) { + ++N; + } + + return N; + +} + +int findnexte(int M) { + int N; + N = M; + + while (factorf(N) != 1 || N%2 != 0) { + ++N; + } + + return N; + +} + + +conv_object conv_init(int N, int L) { + + conv_object obj = NULL; + int conv_len; + conv_len = N + L - 1; + + obj = (conv_object) malloc (sizeof(struct conv_set)); + + //obj->clen = npow2(conv_len); + //obj->clen = conv_len; + obj->clen = findnexte(conv_len); + obj->ilen1 = N; + obj->ilen2 = L; + + obj->fobj = fft_real_init(obj->clen,1); + obj->iobj = fft_real_init(obj->clen,-1); + + return obj; + +} + +void conv_directx(fft_type *inp1,int N, fft_type *inp2, int L,fft_type *oup){ + int M,k,n; + + M = N + L - 1; + + for (k = 0; k < M;++k) { + oup[k] = 0.0; + for ( n = 0; n < N; ++n) { + if ( (k-n) >= 0 && (k-n) < L ) { + oup[k]+= inp1[n] * inp2[k-n]; + } + } + + } + +} + +void conv_direct(fft_type *inp1,int N, fft_type *inp2, int L,fft_type *oup) { + + int M,k,m,i; + fft_type t1,tmin; + + M = N + L -1; + i = 0; + + if (N >= L) { + + for (k = 0; k < L; k++) { + oup[k] = 0.0; + for (m = 0; m <= k;m++) { + oup[k]+= inp1[m] * inp2[k-m]; + } + } + + for (k = L; k < M; k++) { + oup[k] = 0.0; + i++; + t1 = L + i; + tmin = MIN(t1,N); + for (m = i; m < tmin;m++) { + oup[k]+= inp1[m] * inp2[k-m]; + } + } + + + } else { + for (k = 0; k < N; k++) { + oup[k] = 0.0; + for (m = 0; m <= k;m++) { + oup[k]+= inp2[m] * inp1[k-m]; + } + } + + for (k = N; k < M; k++) { + oup[k] = 0.0; + i++; + t1 = N + i; + tmin = MIN(t1,L); + for (m = i; m < tmin;m++) { + oup[k]+= inp2[m] * inp1[k-m]; + } + } + + } + + +} + + +void conv_fft(const conv_object obj,fft_type *inp1,fft_type *inp2,fft_type *oup) { + int i,N,L1,L2,ls; + fft_type* a; + fft_type* b; + fft_data* c; + fft_data* ao; + fft_data* bo; + fft_type* co; + + N = obj->clen; + L1 = obj->ilen1; + L2 = obj->ilen2; + ls = L1 + L2 - 1; + + a = (fft_type*) malloc (sizeof(fft_data) * N); + b = (fft_type*) malloc (sizeof(fft_data) * N); + c = (fft_data*) malloc (sizeof(fft_data) * N); + ao = (fft_data*) malloc (sizeof(fft_data) * N); + bo = (fft_data*) malloc (sizeof(fft_data) * N); + co = (fft_type*) malloc (sizeof(fft_data) * N); + + for (i = 0; i < N;i++) { + if (i < L1) { + a[i] = inp1[i]; + } else { + a[i] = 0.0; + } + + if (i < L2) { + b[i] = inp2[i]; + } else { + b[i] = 0.0; + } + + } + + fft_r2c_exec(obj->fobj,a,ao); + fft_r2c_exec(obj->fobj,b,bo); + + for (i = 0; i < N;i++) { + c[i].re = ao[i].re * bo[i].re - ao[i].im * bo[i].im; + c[i].im = ao[i].im * bo[i].re + ao[i].re * bo[i].im; + } + + fft_c2r_exec(obj->iobj,c,co); + + for (i = 0; i < ls;i++) { + oup[i] = co[i]/N; + } + + free(a); + free(b); + free(c); + free(ao); + free(bo); + free(co); + + +} + + +void free_conv(conv_object object) { + free_real_fft(object->fobj); + free_real_fft(object->iobj); + free(object); +} diff --git a/dep/wavelib/src/conv.h b/dep/wavelib/src/conv.h new file mode 100644 index 0000000..ffeba29 --- /dev/null +++ b/dep/wavelib/src/conv.h @@ -0,0 +1,47 @@ +/* + * conv.h + * + * Created on: May 1, 2013 + * Author: Rafat Hussain + */ + +#ifndef CONV_H_ +#define CONV_H_ + +#include "real.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#define MIN(a,b) (((a)<(b))?(a):(b)) +#define MAX(a,b) (((a)>(b))?(a):(b)) + +conv_object conv_init(int N, int L); + +int factorf(int M); + +int findnext(int M); + +int findnexte(int M); + +void conv_direct(fft_type *inp1,int N, fft_type *inp2, int L,fft_type *oup); + +void conv_directx(fft_type *inp1,int N, fft_type *inp2, int L,fft_type *oup); + +//void conv_fft(const conv_object obj,fft_type *inp1,fft_type *inp2,fft_type *oup); + +//void conv_fft(const conv_object obj,fft_type *inp1,fft_type *inp2,fft_type *oup); + +void conv_fft(const conv_object obj,fft_type *inp1,fft_type *inp2,fft_type *oup); + +//void free_conv(conv_object object); + +void free_conv(conv_object object); + + +#ifdef __cplusplus +} +#endif + +#endif /* CONV_H_ */ diff --git a/dep/wavelib/src/cwt.c b/dep/wavelib/src/cwt.c new file mode 100644 index 0000000..5235843 --- /dev/null +++ b/dep/wavelib/src/cwt.c @@ -0,0 +1,398 @@ +/* + Copyright (c) 2015, Rafat Hussain +*/ +/* +This code is a C translation ( with some modifications) of Wavelet Software provided by +C. Torrence and G. Compo, and is available at URL: http://atoc.colorado.edu/research/wavelets/''. +*/ + +#include "cwt.h" + +double factorial(int N) { + static const double fact[41] = { 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600, 6227020800, 87178291200, 1307674368000, + 20922789888000, 355687428096000, 6402373705728000, 121645100408832000, 2432902008176640000, 51090942171709440000.0, 1124000727777607680000.0, + 25852016738884976640000.0, 620448401733239439360000.0, 15511210043330985984000000.0, 403291461126605635584000000.0, 10888869450418352160768000000.0, + 304888344611713860501504000000.0, 8841761993739701954543616000000.0, 265252859812191058636308480000000.0, 8222838654177922817725562880000000.0, + 263130836933693530167218012160000000.0, 8683317618811886495518194401280000000.0, 295232799039604140847618609643520000000.0, 10333147966386144929666651337523200000000.0, + 371993326789901217467999448150835200000000.0, 13763753091226345046315979581580902400000000.0, 523022617466601111760007224100074291200000000.0, + 20397882081197443358640281739902897356800000000.0, 815915283247897734345611269596115894272000000000.0 }; + + if (N > 40 || N < 0) { + printf("This program is only valid for 0 <= N <= 40 \n"); + return -1.0; + } + + return fact[N]; + +} +static void wave_function(int nk, double dt,int mother, double param,double scale1, double *kwave, double pi,double *period1, + double *coi1, fft_data *daughter) { + + double norm, expnt, fourier_factor; + int k, m; + double temp; + int sign,re; + + + if (mother == 0) { + //MORLET + if (param < 0.0) { + param = 6.0; + } + norm = sqrt(2.0*pi*scale1 / dt)*pow(pi,-0.25); + + for (k = 1; k <= nk / 2 + 1; ++k) { + temp = (scale1*kwave[k-1] - param); + expnt = -0.5 * temp * temp; + daughter[k - 1].re = norm * exp(expnt); + daughter[k - 1].im = 0.0; + } + for (k = nk / 2 + 2; k <= nk; ++k) { + daughter[k - 1].re = daughter[k - 1].im = 0.0; + } + fourier_factor = (4.0*pi) / (param + sqrt(2.0 + param*param)); + *period1 = scale1*fourier_factor; + *coi1 = fourier_factor / sqrt(2.0); + } + else if (mother == 1) { + // PAUL + if (param < 0.0) { + param = 4.0; + } + m = (int)param; + norm = sqrt(2.0*pi*scale1 / dt)*(pow(2.0,(double)m) / sqrt((double)(m*factorial(2 * m - 1)))); + for (k = 1; k <= nk / 2 + 1; ++k) { + temp = scale1 * kwave[k - 1]; + expnt = - temp; + daughter[k - 1].re = norm * pow(temp,(double)m) * exp(expnt); + daughter[k - 1].im = 0.0; + } + for (k = nk / 2 + 2; k <= nk; ++k) { + daughter[k - 1].re = daughter[k - 1].im = 0.0; + } + fourier_factor = (4.0*pi) / (2.0 * m + 1.0); + *period1 = scale1*fourier_factor; + *coi1 = fourier_factor * sqrt(2.0); + } + else if (mother == 2) { + if (param < 0.0) { + param = 2.0; + } + m = (int)param; + + if (m % 2 == 0) { + re = 1; + } + else { + re = 0; + } + + if (m % 4 == 0 || m % 4 == 1) { + sign = -1; + } + else { + sign = 1; + } + + + norm = sqrt(2.0*pi*scale1 / dt)*sqrt(1.0 / cwt_gamma(m + 0.50)); + norm *= sign; + + if (re == 1) { + for (k = 1; k <= nk; ++k) { + temp = scale1 * kwave[k - 1]; + daughter[k - 1].re = norm*pow(temp,(double)m)*exp(-0.50*pow(temp,2.0)); + daughter[k - 1].im = 0.0; + } + } + else if (re == 0) { + for (k = 1; k <= nk; ++k) { + temp = scale1 * kwave[k - 1]; + daughter[k - 1].re = 0.0; + daughter[k - 1].im = norm*pow(temp, (double)m)*exp(-0.50*pow(temp, 2.0)); + } + } + fourier_factor = (2.0*pi) * sqrt(2.0 / (2.0 * m + 1.0)); + *period1 = scale1*fourier_factor; + *coi1 = fourier_factor / sqrt(2.0); + } +} + +void cwavelet(const double *y, int N, double dt, int mother, double param, double s0, double dj, int jtot, int npad, + double *wave, double *scale, double *period, double *coi) { + + int i, j, k, iter; + double ymean, freq1, pi, period1, coi1; + double tmp1, tmp2; + double scale1; + double *kwave; + fft_object obj, iobj; + fft_data *ypad, *yfft,*daughter; + + (void)s0; (void)dj; /* yes, we need these parameters unused */ + + pi = 4.0 * atan(1.0); + + if (npad < N) { + printf("npad must be >= N \n"); + exit(-1); + } + + obj = fft_init(npad, 1); + iobj = fft_init(npad, -1); + + ypad = (fft_data*)malloc(sizeof(fft_data)* npad); + yfft = (fft_data*)malloc(sizeof(fft_data)* npad); + daughter = (fft_data*)malloc(sizeof(fft_data)* npad); + kwave = (double*)malloc(sizeof(double)* npad); + + ymean = 0.0; + + for (i = 0; i < N; ++i) { + ymean += y[i]; + } + + ymean /= N; + + for (i = 0; i < N; ++i) { + ypad[i].re = y[i] - ymean; + ypad[i].im = 0.0; + } + + for (i = N; i < npad; ++i) { + ypad[i].re = ypad[i].im = 0.0; + } + + + // Find FFT of the input y (ypad) + + fft_exec(obj, ypad, yfft); + + for (i = 0; i < npad; ++i) { + yfft[i].re /= (double) npad; + yfft[i].im /= (double) npad; + } + + + //Construct the wavenumber array + + freq1 = 2.0*pi / ((double)npad*dt); + kwave[0] = 0.0; + + for (i = 1; i < npad / 2 + 1; ++i) { + kwave[i] = i * freq1; + } + + for (i = npad / 2 + 1; i < npad; ++i) { + kwave[i] = -kwave[npad - i ]; + } + + + // Main loop + + for (j = 1; j <= jtot; ++j) { + scale1 = scale[j - 1];// = s0*pow(2.0, (double)(j - 1)*dj); + wave_function(npad, dt, mother, param, scale1, kwave, pi,&period1,&coi1, daughter); + period[j - 1] = period1; + for (k = 0; k < npad; ++k) { + tmp1 = daughter[k].re * yfft[k].re - daughter[k].im * yfft[k].im; + tmp2 = daughter[k].re * yfft[k].im + daughter[k].im * yfft[k].re; + daughter[k].re = tmp1; + daughter[k].im = tmp2; + } + fft_exec(iobj, daughter, ypad); + iter = 2 * (j - 1) * N; + for (i = 0; i < N; ++i) { + wave[iter + 2 * i] = ypad[i].re; + wave[iter + 2 * i + 1] = ypad[i].im; + } + } + + + for (i = 1; i <= (N + 1) / 2; ++i) { + coi[i - 1] = coi1 * dt * ((double)i - 1.0); + coi[N - i] = coi[i - 1]; + } + + + + free(kwave); + free(ypad); + free(yfft); + free(daughter); + + free_fft(obj); + free_fft(iobj); + +} + +void psi0(int mother, double param,double *val,int *real) { + double pi,coeff; + int m,sign; + + m = (int)param; + pi = 4.0 * atan(1.0); + + if (mother == 0) { + // Morlet + *val = 1.0 / sqrt(sqrt(pi)); + *real = 1; + } + else if (mother == 1) { + //Paul + if (m % 2 == 0) { + *real = 1; + } + else { + *real = 0; + } + + if (m % 4 == 0 || m % 4 == 1) { + sign = 1; + } + else { + sign = -1; + } + *val = sign * pow(2.0, (double)m) * factorial(m) / (sqrt(pi * factorial(2 * m))); + + } + else if (mother == 2) { + // D.O.G + *real = 1; + + if (m % 2 == 0) { + if (m % 4 == 0) { + sign = -1; + } + else { + sign = 1; + } + coeff = sign * pow(2.0, (double)m / 2) / cwt_gamma(0.5); + *val = coeff * cwt_gamma(((double)m + 1.0) / 2.0) / sqrt(cwt_gamma(m + 0.50)); + } + else { + *val = 0; + } + } +} + +static int maxabs(double *array,int N) { + double maxval,temp; + int i,index; + maxval = 0.0; + index = -1; + + for (i = 0; i < N; ++i) { + temp = fabs(array[i]); + if (temp >= maxval) { + maxval = temp; + index = i; + } + } + + return index; +} + + +double cdelta(int mother, double param, double psi0 ) { + int N,i,j,iter; + double *delta, *scale,*period,*wave,*coi,*mval; + double den,cdel; + double subscale,dt,dj,s0; + int jtot; + int maxarr; + + subscale = 8.0; + dt = 0.25; + if (mother == 0) { + N = 16; + s0 = dt/4; + } + else if (mother == 1) { + N = 16; + s0 = dt / 4.0; + } + else if (mother == 2) + { + s0 = dt/8.0; + N = 256; + if (param == 2.0) { + subscale = 16.0; + s0 = dt / 16.0; + N = 2048; + } + } + + dj = 1.0 / subscale; + jtot = 16 * (int) subscale; + + delta = (double*)malloc(sizeof(double)* N); + wave = (double*)malloc(sizeof(double)* 2 * N * jtot); + coi = (double*)malloc(sizeof(double)* N); + scale = (double*)malloc(sizeof(double)* jtot); + period = (double*)malloc(sizeof(double)* jtot); + mval = (double*)malloc(sizeof(double)* N); + + + delta[0] = 1; + + for (i = 1; i < N; ++i) { + delta[i] = 0; + } + + for (i = 0; i < jtot; ++i) { + scale[i] = s0*pow(2.0, (double)(i)*dj); + } + + cwavelet(delta, N, dt, mother, param, s0, dj, jtot, N, wave, scale, period, coi); + + for (i = 0; i < N; ++i) { + mval[i] = 0; + } + + for (j = 0; j < jtot; ++j) { + iter = 2 * j * N; + den = sqrt(scale[j]); + for (i = 0; i < N; ++i) { + mval[i] += wave[iter + 2 * i]/den; + } + } + + + maxarr = maxabs(mval, N); + + cdel = sqrt(dt) * dj * mval[maxarr] / psi0; + + free(delta); + free(wave); + + free(scale); + free(period); + free(coi); + free(mval); + + return cdel; +} + +void icwavelet(double *wave, int N, double *scale,int jtot,double dt,double dj,double cdelta,double psi0,double *oup) { + int i, j,iter; + double den, coeff; + + coeff = sqrt(dt) * dj / (cdelta *psi0); + + for (i = 0; i < N; ++i) { + oup[i] = 0.0; + } + + for (j = 0; j < jtot; ++j) { + iter = 2 * j * N; + den = sqrt(scale[j]); + for (i = 0; i < N; ++i) { + oup[i] += wave[iter + 2 * i] / den; + } + } + + for (i = 0; i < N; ++i) { + oup[i] *= coeff; + } +} diff --git a/dep/wavelib/src/cwt.h b/dep/wavelib/src/cwt.h new file mode 100644 index 0000000..d1e4a03 --- /dev/null +++ b/dep/wavelib/src/cwt.h @@ -0,0 +1,29 @@ +#ifndef CWT_H_ +#define CWT_H_ + +#include "wavefunc.h" + +#ifdef __cplusplus +extern "C" { +#endif + +void cwavelet(const double *y, int N, double dt, int mother, double param, double s0, double dj, int jtot, int npad, + double *wave, double *scale, double *period, double *coi); + +void psi0(int mother, double param, double *val, int *real); + +double factorial(int N); + +double cdelta(int mother, double param, double psi0); + +void icwavelet(double *wave, int N, double *scale, int jtot, double dt, double dj, double cdelta, double psi0, double *oup); + + +#ifdef __cplusplus +} +#endif + + +#endif /* WAVELIB_H_ */ + + diff --git a/dep/wavelib/src/cwtmath.c b/dep/wavelib/src/cwtmath.c new file mode 100644 index 0000000..69fdbf2 --- /dev/null +++ b/dep/wavelib/src/cwtmath.c @@ -0,0 +1,296 @@ +#include "cwtmath.h" + +static void nsfft_fd(fft_object obj, fft_data *inp, fft_data *oup,double lb,double ub,double *w) { + int M,N,i,j,L; + double delta,den,theta,tempr,tempi,plb; + double *temp1,*temp2; + + N = obj->N; + L = N/2; + //w = (double*)malloc(sizeof(double)*N); + + M = divideby(N, 2); + + if (M == 0) { + printf("The Non-Standard FFT Length must be a power of 2"); + exit(1); + } + + temp1 = (double*)malloc(sizeof(double)*L); + temp2 = (double*)malloc(sizeof(double)*L); + + delta = (ub - lb)/ N; + j = -N; + den = 2 * (ub-lb); + + for(i = 0; i < N;++i) { + w[i] = (double)j/den; + j += 2; + } + + fft_exec(obj,inp,oup); + + + for (i = 0; i < L; ++i) { + temp1[i] = oup[i].re; + temp2[i] = oup[i].im; + } + + for (i = 0; i < N - L; ++i) { + oup[i].re = oup[i + L].re; + oup[i].im = oup[i + L].im; + } + + for (i = 0; i < L; ++i) { + oup[N - L + i].re = temp1[i]; + oup[N - L + i].im = temp2[i]; + } + + plb = PI2 * lb; + + for(i = 0; i < N;++i) { + tempr = oup[i].re; + tempi = oup[i].im; + theta = w[i] * plb; + + oup[i].re = delta * (tempr*cos(theta) + tempi*sin(theta)); + oup[i].im = delta * (tempi*cos(theta) - tempr*sin(theta)); + } + + + //free(w); + free(temp1); + free(temp2); +} + +static void nsfft_bk(fft_object obj, fft_data *inp, fft_data *oup,double lb,double ub,double *t) { + int M,N,i,j,L; + double *w; + double delta,den,plb,theta; + double *temp1,*temp2; + fft_data *inpt; + + N = obj->N; + L = N/2; + + M = divideby(N, 2); + + if (M == 0) { + printf("The Non-Standard FFT Length must be a power of 2"); + exit(1); + } + + temp1 = (double*)malloc(sizeof(double)*L); + temp2 = (double*)malloc(sizeof(double)*L); + w = (double*)malloc(sizeof(double)*N); + inpt = (fft_data*) malloc (sizeof(fft_data) * N); + + delta = (ub - lb)/ N; + j = -N; + den = 2 * (ub-lb); + + for(i = 0; i < N;++i) { + w[i] = (double)j/den; + j += 2; + } + + plb = PI2 * lb; + + for(i = 0; i < N;++i) { + theta = w[i] * plb; + + inpt[i].re = (inp[i].re*cos(theta) - inp[i].im*sin(theta))/delta; + inpt[i].im = (inp[i].im*cos(theta) + inp[i].re*sin(theta))/delta; + } + + for (i = 0; i < L; ++i) { + temp1[i] = inpt[i].re; + temp2[i] = inpt[i].im; + } + + for (i = 0; i < N - L; ++i) { + inpt[i].re = inpt[i + L].re; + inpt[i].im = inpt[i + L].im; + } + + for (i = 0; i < L; ++i) { + inpt[N - L + i].re = temp1[i]; + inpt[N - L + i].im = temp2[i]; + } + + fft_exec(obj,inpt,oup); + + for(i = 0; i < N;++i) { + t[i] = lb + i*delta; + } + + free(w); + free(temp1); + free(temp2); + free(inpt); +} + +void nsfft_exec(fft_object obj, fft_data *inp, fft_data *oup,double lb,double ub,double *w) { + if (obj->sgn == 1) { + nsfft_fd(obj,inp,oup,lb,ub,w); + } else if (obj->sgn == -1) { + nsfft_bk(obj,inp,oup,lb,ub,w); + } +} + +static double fix(double x) { + // Rounds to the integer nearest to zero + if (x >= 0.) { + return floor(x); + } else { + return ceil(x); + } +} + +int nint(double N) { + int i; + + i = (int)(N + 0.49999); + + return i; +} + +double cwt_gamma(double x) { + /* + * This C program code is based on W J Cody's fortran code. + * http://www.netlib.org/specfun/gamma + * + * References: + "An Overview of Software Development for Special Functions", + W. J. Cody, Lecture Notes in Mathematics, 506, + Numerical Analysis Dundee, 1975, G. A. Watson (ed.), + Springer Verlag, Berlin, 1976. + + Computer Approximations, Hart, Et. Al., Wiley and sons, New York, 1968. + */ + + // numerator and denominator coefficients for 1 <= x <= 2 + + double y,oup,fact,sum,y2,yi,z,nsum,dsum; + int swi,n,i; + + double spi = 0.9189385332046727417803297; + double pi = 3.1415926535897932384626434; + double xmax = 171.624e+0; + double xinf = 1.79e308; + double eps = 2.22e-16; + double xninf = 1.79e-308; + + double num[8] = { -1.71618513886549492533811e+0, + 2.47656508055759199108314e+1, + -3.79804256470945635097577e+2, + 6.29331155312818442661052e+2, + 8.66966202790413211295064e+2, + -3.14512729688483675254357e+4, + -3.61444134186911729807069e+4, + 6.64561438202405440627855e+4 }; + + double den[8] = { -3.08402300119738975254353e+1, + 3.15350626979604161529144e+2, + -1.01515636749021914166146e+3, + -3.10777167157231109440444e+3, + 2.25381184209801510330112e+4, + 4.75584627752788110767815e+3, + -1.34659959864969306392456e+5, + -1.15132259675553483497211e+5 }; + + // Coefficients for Hart's Minimax approximation x >= 12 + + + double c[7] = { -1.910444077728e-03, + 8.4171387781295e-04, + -5.952379913043012e-04, + 7.93650793500350248e-04, + -2.777777777777681622553e-03, + 8.333333333333333331554247e-02, + 5.7083835261e-03 }; + + y = x; + swi = 0; + fact = 1.0; + n = 0; + + + if ( y < 0.) { + // Negative x + y = -x; + yi = fix(y); + oup = y - yi; + + if (oup != 0.0) { + if (yi != fix(yi * .5) * 2.) { + swi = 1; + } + fact = -pi / sin(pi * oup); + y += 1.; + } else { + return xinf; + } + } + + if (y < eps) { + if (y >= xninf) { + oup = 1.0/y; + } else { + return xinf; + } + + } else if (y < 12.) { + yi = y; + if ( y < 1.) { + z = y; + y += 1.; + } else { + n = ( int ) y - 1; + y -= ( double ) n; + z = y - 1.0; + } + nsum = 0.; + dsum = 1.; + for (i = 0; i < 8; ++i) { + nsum = (nsum + num[i]) * z; + dsum = dsum * z + den[i]; + } + oup = nsum / dsum + 1.; + + if (yi < y) { + + oup /= yi; + } else if (yi > y) { + + for (i = 0; i < n; ++i) { + oup *= y; + y += 1.; + } + + } + + } else { + if (y <= xmax) { + y2 = y * y; + sum = c[6]; + for (i = 0; i < 6; ++i) { + sum = sum / y2 + c[i]; + } + sum = sum / y - y + spi; + sum += (y - .5) * log(y); + oup = exp(sum); + } else { + return(xinf); + } + } + + if (swi) { + oup = -oup; + } + if (fact != 1.) { + oup = fact / oup; + } + + return oup; +} diff --git a/dep/wavelib/src/cwtmath.h b/dep/wavelib/src/cwtmath.h new file mode 100644 index 0000000..789f3a8 --- /dev/null +++ b/dep/wavelib/src/cwtmath.h @@ -0,0 +1,22 @@ +#ifndef CWTMATH_H_ +#define CWTMATH_H_ + +#include "wtmath.h" +#include "hsfft.h" + +#ifdef __cplusplus +extern "C" { +#endif + +void nsfft_exec(fft_object obj, fft_data *inp, fft_data *oup,double lb,double ub,double *w);// lb -lower bound, ub - upper bound, w - time or frequency grid (Size N) + +double cwt_gamma(double x); + +int nint(double N); + +#ifdef __cplusplus +} +#endif + + +#endif /* WAVELIB_H_ */ diff --git a/dep/wavelib/src/hsfft.c b/dep/wavelib/src/hsfft.c new file mode 100644 index 0000000..3919c67 --- /dev/null +++ b/dep/wavelib/src/hsfft.c @@ -0,0 +1,1860 @@ +/* + * hsfft.c + * + * Created on: Apr 14, 2013 + * Author: Rafat Hussain + */ + + +#include "hsfft.h" + +fft_object fft_init(int N, int sgn) { + fft_object obj = NULL; + // Change N/2 to N-1 for longvector case + + int twi_len,ct,out; + out = dividebyN(N); + + if (out == 1) { + obj = (fft_object) malloc (sizeof(struct fft_set) + sizeof(fft_data)* (N-1)); + obj->lf = factors(N,obj->factors); + longvectorN(obj->twiddle,obj->factors,obj->lf); + twi_len = N; + obj->lt = 0; + } else { + int K,M; + K = (int) pow(2.0,ceil(log10(N)/log10(2.0))); + + if (K < 2 * N - 2) { + M = K * 2; + } else { + M = K; + } + obj = (fft_object) malloc (sizeof(struct fft_set) + sizeof(fft_data)* (M-1)); + obj->lf = factors(M,obj->factors); + longvectorN(obj->twiddle,obj->factors,obj->lf); + obj->lt = 1; + twi_len = M; + } + + + obj->N = N; + obj->sgn = sgn; + + if (sgn == -1) { + for(ct = 0; ct < twi_len;ct++) { + (obj->twiddle+ct)->im = - (obj->twiddle+ct)->im; + + } + } + + return obj; +} + + + +static void mixed_radix_dit_rec(fft_data *op,fft_data *ip,const fft_object obj, int sgn, int N,int l,int inc) { + + int radix,m,ll; + if (N > 1) { + radix = obj->factors[inc]; + //printf("%d \n",radix); + } + + if (N == 1) { + + op[0].re = ip[0].re; + op[0].im = ip[0].im; + + } else if (N == 2) { + fft_type tau1r,tau1i; + op[0].re = ip[0].re; + op[0].im = ip[0].im; + + op[1].re = ip[l].re; + op[1].im = ip[l].im; + + tau1r = op[0].re; + tau1i = op[0].im; + + + op[0].re = tau1r + op[1].re; + op[0].im = tau1i + op[1].im; + + op[1].re = tau1r - op[1].re; + op[1].im = tau1i - op[1].im; + + } else if (N == 3) { + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i; + op[0].re = ip[0].re; + op[0].im = ip[0].im; + + op[1].re = ip[l].re; + op[1].im = ip[l].im; + + op[2].re = ip[2*l].re; + op[2].im = ip[2*l].im; + + tau0r = op[1].re + op[2].re; + tau0i = op[1].im + op[2].im; + + tau1r = sgn * 0.86602540378 * (op[1].re - op[2].re); + tau1i = sgn * 0.86602540378 * (op[1].im - op[2].im); + + tau2r = op[0].re - tau0r * 0.5000000000; + tau2i = op[0].im - tau0i * 0.5000000000; + + op[0].re = tau0r + op[0].re ; + op[0].im = tau0i + op[0].im; + + op[1].re = tau2r + tau1i; + op[1].im = tau2i - tau1r; + + op[2].re = tau2r - tau1i; + op[2].im = tau2i + tau1r; + + return; + + + } else if (N == 4) { + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i; + op[0].re = ip[0].re; + op[0].im = ip[0].im; + + op[1].re = ip[l].re; + op[1].im = ip[l].im; + + op[2].re = ip[2*l].re; + op[2].im = ip[2*l].im; + + op[3].re = ip[3*l].re; + op[3].im = ip[3*l].im; + + tau0r = op[0].re + op[2].re; + tau0i = op[0].im + op[2].im; + + tau1r = op[0].re - op[2].re; + tau1i = op[0].im - op[2].im; + + tau2r = op[1].re + op[3].re; + tau2i = op[1].im + op[3].im; + + tau3r = sgn* (op[1].re - op[3].re); + tau3i = sgn* (op[1].im - op[3].im); + + op[0].re = tau0r + tau2r ; + op[0].im = tau0i + tau2i; + + op[1].re = tau1r + tau3i; + op[1].im = tau1i - tau3r; + + op[2].re = tau0r - tau2r; + op[2].im = tau0i - tau2i; + + op[3].re = tau1r - tau3i; + op[3].im = tau1i + tau3r; + + + + } else if (N == 5) { + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i,tau4r,tau4i,tau5r,tau5i,tau6r,tau6i; + fft_type c1,c2,s1,s2; + op[0].re = ip[0].re; + op[0].im = ip[0].im; + + op[1].re = ip[l].re; + op[1].im = ip[l].im; + + op[2].re = ip[2*l].re; + op[2].im = ip[2*l].im; + + op[3].re = ip[3*l].re; + op[3].im = ip[3*l].im; + + op[4].re = ip[4*l].re; + op[4].im = ip[4*l].im; + + c1 = 0.30901699437; + c2 = -0.80901699437; + s1 = 0.95105651629; + s2 = 0.58778525229; + + tau0r = op[1].re + op[4].re; + tau2r = op[1].re - op[4].re; + tau0i = op[1].im + op[4].im; + tau2i = op[1].im - op[4].im; + + tau1r = op[2].re + op[3].re; + tau3r = op[2].re - op[3].re; + tau1i = op[2].im + op[3].im; + tau3i = op[2].im - op[3].im; + + + tau4r = c1 * tau0r + c2 * tau1r; + tau4i = c1 * tau0i + c2 * tau1i; + + //tau5r = sgn * ( s1 * tau2r + s2 * tau3r); + //tau5i = sgn * ( s1 * tau2i + s2 * tau3i); + + if (sgn == 1) { + tau5r = s1 * tau2r + s2 * tau3r; + tau5i = s1 * tau2i + s2 * tau3i; + + } else { + tau5r = -s1 * tau2r - s2 * tau3r; + tau5i = -s1 * tau2i - s2 * tau3i; + + } + + tau6r = op[0].re + tau4r; + tau6i = op[0].im + tau4i; + + op[1].re = tau6r + tau5i; + op[1].im = tau6i - tau5r; + + op[4].re = tau6r - tau5i; + op[4].im = tau6i + tau5r; + + tau4r = c2 * tau0r + c1 * tau1r; + tau4i = c2 * tau0i + c1 * tau1i; + + //tau5r = sgn * ( s2 * tau2r - s1 * tau3r); + //tau5i = sgn * ( s2 * tau2i - s1 * tau3i); + + if (sgn == 1) { + tau5r = s2 * tau2r - s1 * tau3r; + tau5i = s2 * tau2i - s1 * tau3i; + + } else { + tau5r = -s2 * tau2r + s1 * tau3r; + tau5i = -s2 * tau2i + s1 * tau3i; + + } + + tau6r = op[0].re + tau4r; + tau6i = op[0].im + tau4i; + + op[2].re = tau6r + tau5i; + op[2].im = tau6i - tau5r; + + op[3].re = tau6r - tau5i; + op[3].im = tau6i + tau5r; + + + + op[0].re += tau0r + tau1r; + op[0].im += tau0i + tau1i; + + + } else if (N == 7) { + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i,tau4r,tau4i,tau5r,tau5i,tau6r,tau6i,tau7r,tau7i; + fft_type c1,c2,c3,s1,s2,s3; + op[0].re = ip[0].re; + op[0].im = ip[0].im; + + op[1].re = ip[l].re; + op[1].im = ip[l].im; + + op[2].re = ip[2*l].re; + op[2].im = ip[2*l].im; + + op[3].re = ip[3*l].re; + op[3].im = ip[3*l].im; + + op[4].re = ip[4*l].re; + op[4].im = ip[4*l].im; + + op[5].re = ip[5*l].re; + op[5].im = ip[5*l].im; + + op[6].re = ip[6*l].re; + op[6].im = ip[6*l].im; + + c1 = 0.62348980185; + c2 = -0.22252093395; + c3 = -0.9009688679; + s1 = 0.78183148246; + s2 = 0.97492791218; + s3 = 0.43388373911; + + tau0r = op[1].re + op[6].re; + tau3r = op[1].re - op[6].re; + + tau0i = op[1].im + op[6].im; + tau3i = op[1].im - op[6].im; + + tau1r = op[2].re + op[5].re; + tau4r = op[2].re - op[5].re; + + tau1i = op[2].im + op[5].im; + tau4i = op[2].im - op[5].im; + + tau2r = op[3].re + op[4].re; + tau5r = op[3].re - op[4].re; + + tau2i = op[3].im + op[4].im; + tau5i = op[3].im - op[4].im; + + + tau6r = op[0].re + c1 * tau0r + c2 * tau1r + c3 * tau2r; + tau6i = op[0].im + c1 * tau0i + c2 * tau1i + c3 * tau2i; + + //tau7r = sgn * ( -s1 * tau3r - s2 * tau4r - s3 * tau5r); + //tau7i = sgn * ( -s1 * tau3i - s2 * tau4i - s3 * tau5i); + + if (sgn == 1) { + tau7r = -s1 * tau3r - s2 * tau4r - s3 * tau5r; + tau7i = -s1 * tau3i - s2 * tau4i - s3 * tau5i; + + } else { + tau7r = s1 * tau3r + s2 * tau4r + s3 * tau5r; + tau7i = s1 * tau3i + s2 * tau4i + s3 * tau5i; + + } + + + op[1].re = tau6r - tau7i; + op[6].re = tau6r + tau7i; + + op[1].im = tau6i + tau7r; + op[6].im = tau6i - tau7r; + + tau6r = op[0].re + c2 * tau0r + c3 * tau1r + c1 * tau2r; + tau6i = op[0].im + c2 * tau0i + c3 * tau1i + c1 * tau2i; + + //tau7r = sgn * ( -s2 * tau3r + s3 * tau4r + s1 * tau5r); + //tau7i = sgn * ( -s2 * tau3i + s3 * tau4i + s1 * tau5i); + + if (sgn == 1) { + tau7r = -s2 * tau3r + s3 * tau4r + s1 * tau5r; + tau7i = -s2 * tau3i + s3 * tau4i + s1 * tau5i; + } else { + tau7r = s2 * tau3r - s3 * tau4r - s1 * tau5r; + tau7i = s2 * tau3i - s3 * tau4i - s1 * tau5i; + + } + + + op[2].re = tau6r - tau7i; + op[5].re = tau6r + tau7i; + op[2].im = tau6i + tau7r; + op[5].im = tau6i - tau7r; + + tau6r = op[0].re + c3 * tau0r + c1 * tau1r + c2 * tau2r; + tau6i = op[0].im + c3 * tau0i + c1 * tau1i + c2 * tau2i; + + //tau7r = sgn * ( -s3 * tau3r + s1 * tau4r - s2 * tau5r); + //tau7i = sgn * ( -s3 * tau3i + s1 * tau4i - s2 * tau5i); + + if (sgn == 1) { + tau7r = -s3 * tau3r + s1 * tau4r - s2 * tau5r; + tau7i = -s3 * tau3i + s1 * tau4i - s2 * tau5i; + + } else { + tau7r = s3 * tau3r - s1 * tau4r + s2 * tau5r; + tau7i = s3 * tau3i - s1 * tau4i + s2 * tau5i; + + } + + + op[3].re = tau6r - tau7i; + op[4].re = tau6r + tau7i; + op[3].im = tau6i + tau7r; + op[4].im = tau6i - tau7r; + + op[0].re += tau0r + tau1r + tau2r; + op[0].im += tau0i + tau1i + tau2i; + + + } else if (N == 8) { + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i,tau4r,tau4i,tau5r,tau5i,tau6r,tau6i,tau7r,tau7i,tau8r,tau8i,tau9r,tau9i; + fft_type c1,s1,temp1r,temp1i,temp2r,temp2i; + op[0].re = ip[0].re; + op[0].im = ip[0].im; + + op[1].re = ip[l].re; + op[1].im = ip[l].im; + + op[2].re = ip[2*l].re; + op[2].im = ip[2*l].im; + + op[3].re = ip[3*l].re; + op[3].im = ip[3*l].im; + + op[4].re = ip[4*l].re; + op[4].im = ip[4*l].im; + + op[5].re = ip[5*l].re; + op[5].im = ip[5*l].im; + + op[6].re = ip[6*l].re; + op[6].im = ip[6*l].im; + + op[7].re = ip[7*l].re; + op[7].im = ip[7*l].im; + + c1 = 0.70710678118654752440084436210485; + s1 = 0.70710678118654752440084436210485; + + tau0r = op[0].re + op[4].re; + tau4r = op[0].re - op[4].re; + + tau0i = op[0].im + op[4].im; + tau4i = op[0].im - op[4].im; + + tau1r = op[1].re + op[7].re; + tau5r = op[1].re - op[7].re; + + tau1i = op[1].im + op[7].im; + tau5i = op[1].im - op[7].im; + + tau2r = op[3].re + op[5].re; + tau6r = op[3].re - op[5].re; + + tau2i = op[3].im + op[5].im; + tau6i = op[3].im - op[5].im; + + tau3r = op[2].re + op[6].re; + tau7r = op[2].re - op[6].re; + + tau3i = op[2].im + op[6].im; + tau7i = op[2].im - op[6].im; + + op[0].re = tau0r + tau1r + tau2r + tau3r; + op[0].im = tau0i + tau1i + tau2i + tau3i; + + op[4].re = tau0r - tau1r - tau2r + tau3r; + op[4].im = tau0i - tau1i - tau2i + tau3i; + + temp1r = tau1r - tau2r; + temp1i = tau1i - tau2i; + + temp2r = tau5r + tau6r; + temp2i = tau5i + tau6i; + + tau8r = tau4r + c1 * temp1r; + tau8i = tau4i + c1 * temp1i; + + //tau9r = sgn * ( -s1 * temp2r - tau7r); + //tau9i = sgn * ( -s1 * temp2i - tau7i); + + if (sgn == 1) { + tau9r = -s1 * temp2r - tau7r; + tau9i = -s1 * temp2i - tau7i; + + } else { + tau9r = s1 * temp2r + tau7r; + tau9i = s1 * temp2i + tau7i; + + } + + + op[1].re = tau8r - tau9i; + op[1].im = tau8i + tau9r; + + op[7].re = tau8r + tau9i; + op[7].im = tau8i - tau9r; + + tau8r = tau0r - tau3r; + tau8i = tau0i - tau3i; + + //tau9r = sgn * ( -tau5r + tau6r); + //tau9i = sgn * ( -tau5i + tau6i); + + if (sgn == 1) { + tau9r = -tau5r + tau6r; + tau9i = -tau5i + tau6i; + + } else { + tau9r = tau5r - tau6r; + tau9i = tau5i - tau6i; + + } + + + op[2].re = tau8r - tau9i; + op[2].im = tau8i + tau9r; + + op[6].re = tau8r + tau9i; + op[6].im = tau8i - tau9r; + + tau8r = tau4r - c1 * temp1r; + tau8i = tau4i - c1 * temp1i; + + //tau9r = sgn * ( -s1 * temp2r + tau7r); + //tau9i = sgn * ( -s1 * temp2i + tau7i); + + if (sgn == 1) { + tau9r = -s1 * temp2r + tau7r; + tau9i = -s1 * temp2i + tau7i; + + } else { + tau9r = s1 * temp2r - tau7r; + tau9i = s1 * temp2i - tau7i; + + } + + + op[3].re = tau8r - tau9i; + op[3].im = tau8i + tau9r; + + op[5].re = tau8r + tau9i; + op[5].im = tau8i - tau9r; + + + + + } else if (radix == 2) { + int k,tkm1,ind; + fft_type wlr,wli; + fft_type tau1r,tau1i,tau2r,tau2i; + m = N/2; + ll = 2*l; + mixed_radix_dit_rec(op,ip,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+m,ip+l,obj,sgn,m,ll,inc+1); + + for (k = 0; k < m;k++) { + ind = m-1+k; + wlr = (obj->twiddle+ind)->re; + wli = (obj->twiddle+ind)->im; + + tkm1 = k+m; + + tau1r = op[k].re; + tau1i = op[k].im; + + tau2r = op[tkm1].re * wlr - op[tkm1].im * wli; + tau2i = op[tkm1].im * wlr + op[tkm1].re * wli; + + op[k].re = tau1r + tau2r; + op[k].im = tau1i + tau2i; + + op[tkm1].re = tau1r - tau2r; + op[tkm1].im = tau1i - tau2i; + + + + } + + } else if (radix == 3) { + int k,tkm1,tkm2,ind; + fft_type wlr,wli,wl2r,wl2i; + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i; + fft_type ar,ai,br,bi,cr,ci; + m = N/3; + ll = 3*l; + mixed_radix_dit_rec(op,ip,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+m,ip+l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+2*m,ip+2*l,obj,sgn,m,ll,inc+1); + //printf("%d \n",inc); + //mixed_radix3_dit_rec(op,ip,obj,sgn,ll,m); + + + for (k = 0; k < m; ++k) { + ind = m-1+2*k; + wlr = (obj->twiddle+ind)->re; + wli = (obj->twiddle+ind)->im; + ind++; + wl2r = (obj->twiddle+ind)->re; + wl2i = (obj->twiddle+ind)->im; + tkm1 = k + m; + tkm2 = tkm1 + m; + + ar = op[k].re; + ai = op[k].im; + + br = op[tkm1].re * wlr - op[tkm1].im * wli; + bi = op[tkm1].im * wlr + op[tkm1].re * wli; + + cr = op[tkm2].re * wl2r - op[tkm2].im * wl2i; + ci = op[tkm2].im * wl2r + op[tkm2].re * wl2i; + + tau0r = br + cr; + tau0i = bi + ci; + + tau1r = sgn * 0.86602540378 * (br - cr); + tau1i = sgn * 0.86602540378 * (bi - ci); + + tau2r = ar - tau0r * 0.5000000000; + tau2i = ai - tau0i * 0.5000000000; + + + op[k].re = ar + tau0r; + op[k].im = ai + tau0i; + + op[tkm1].re = tau2r + tau1i; + op[tkm1].im = tau2i - tau1r; + + op[tkm2].re = tau2r - tau1i; + op[tkm2].im = tau2i + tau1r; + + } + + } else if (radix == 4) { + int k,tkm1,tkm2,tkm3,ind; + fft_type wlr,wli,wl2r,wl2i,wl3r,wl3i; + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i; + fft_type ar,ai,br,bi,cr,ci,dr,di; + m = N/4; + ll = 4*l; + mixed_radix_dit_rec(op,ip,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+m,ip+l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+2*m,ip+2*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+3*m,ip+3*l,obj,sgn,m,ll,inc+1); + + //mixed_radix4_dit_rec(op,ip,obj,sgn,ll,m); + + tkm1 = m; + tkm2 = tkm1 + m; + tkm3 = tkm2 + m; + + ar = op[0].re; + ai = op[0].im; + + br = op[tkm1].re; + bi = op[tkm1].im; + + cr = op[tkm2].re; + ci = op[tkm2].im; + + dr = op[tkm3].re; + di = op[tkm3].im; + + tau0r = ar + cr; + tau0i = ai + ci; + + tau1r = ar - cr; + tau1i = ai - ci; + + tau2r = br + dr; + tau2i = bi + di; + + tau3r = sgn* (br - dr); + tau3i = sgn* (bi - di); + + op[0].re = tau0r + tau2r ; + op[0].im = tau0i + tau2i; + + op[tkm1].re = tau1r + tau3i; + op[tkm1].im = tau1i - tau3r; + + op[tkm2].re = tau0r - tau2r; + op[tkm2].im = tau0i - tau2i; + + op[tkm3].re = tau1r - tau3i; + op[tkm3].im = tau1i + tau3r; + + + for (k = 1; k < m; k++) { + ind = m-1+3*k; + wlr = (obj->twiddle+ind)->re; + wli = (obj->twiddle+ind)->im; + ind++; + wl2r = (obj->twiddle+ind)->re; + wl2i = (obj->twiddle+ind)->im; + ind++; + wl3r = (obj->twiddle+ind)->re; + wl3i = (obj->twiddle+ind)->im; + + tkm1 = k+m; + tkm2 = tkm1 + m; + tkm3 = tkm2 + m; + + ar = op[k].re; + ai = op[k].im; + + br = op[tkm1].re * wlr - op[tkm1].im * wli; + bi = op[tkm1].im * wlr + op[tkm1].re * wli; + + cr = op[tkm2].re * wl2r - op[tkm2].im * wl2i; + ci = op[tkm2].im * wl2r + op[tkm2].re * wl2i; + + dr = op[tkm3].re * wl3r - op[tkm3].im * wl3i; + di = op[tkm3].im * wl3r + op[tkm3].re * wl3i; + + tau0r = ar + cr; + tau0i = ai + ci; + + tau1r = ar - cr; + tau1i = ai - ci; + + tau2r = br + dr; + tau2i = bi + di; + + tau3r = sgn* (br - dr); + tau3i = sgn* (bi - di); + + op[k].re = tau0r + tau2r ; + op[k].im = tau0i + tau2i; + + op[tkm1].re = tau1r + tau3i; + op[tkm1].im = tau1i - tau3r; + + op[tkm2].re = tau0r - tau2r; + op[tkm2].im = tau0i - tau2i; + + op[tkm3].re = tau1r - tau3i; + op[tkm3].im = tau1i + tau3r; + + } + + } else if (radix == 5) { + int k,tkm1,tkm2,tkm3,tkm4,ind; + fft_type wlr,wli,wl2r,wl2i,wl3r,wl3i,wl4r,wl4i; + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i; + fft_type ar,ai,br,bi,cr,ci,dr,di,er,ei; + fft_type tau4r,tau4i,tau5r,tau5i,tau6r,tau6i; + fft_type c1,c2,s1,s2; + m = N/5; + ll = 5*l; + mixed_radix_dit_rec(op,ip,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+m,ip+l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+2*m,ip+2*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+3*m,ip+3*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+4*m,ip+4*l,obj,sgn,m,ll,inc+1); + //printf("%d \n",inc); + //mixed_radix3_dit_rec(op,ip,obj,sgn,ll,m); + + c1 = 0.30901699437; + c2 = -0.80901699437; + s1 = 0.95105651629; + s2 = 0.58778525229; + + tkm1 = m; + tkm2 = tkm1 + m; + tkm3 = tkm2 + m; + tkm4 = tkm3 + m; + + ar = op[0].re; + ai = op[0].im; + + br = op[tkm1].re; + bi = op[tkm1].im; + + cr = op[tkm2].re; + ci = op[tkm2].im; + + dr = op[tkm3].re; + di = op[tkm3].im; + + er = op[tkm4].re; + ei = op[tkm4].im; + + tau0r = br + er; + tau0i = bi + ei; + + tau1r = cr + dr; + tau1i = ci + di; + + tau2r = br - er; + tau2i = bi - ei; + + tau3r = cr - dr; + tau3i = ci - di; + + op[0].re = ar + tau0r + tau1r; + op[0].im = ai + tau0i + tau1i; + + tau4r = c1 * tau0r + c2 * tau1r; + tau4i = c1 * tau0i + c2 * tau1i; + + tau5r = sgn * ( s1 * tau2r + s2 * tau3r); + tau5i = sgn * ( s1 * tau2i + s2 * tau3i); + + tau6r = ar + tau4r; + tau6i = ai + tau4i; + + op[tkm1].re = tau6r + tau5i; + op[tkm1].im = tau6i - tau5r; + + op[tkm4].re = tau6r - tau5i; + op[tkm4].im = tau6i + tau5r; + + tau4r = c2 * tau0r + c1 * tau1r; + tau4i = c2 * tau0i + c1 * tau1i; + + tau5r = sgn * ( s2 * tau2r - s1 * tau3r); + tau5i = sgn * ( s2 * tau2i - s1 * tau3i); + + tau6r = ar + tau4r; + tau6i = ai + tau4i; + + op[tkm2].re = tau6r + tau5i; + op[tkm2].im = tau6i - tau5r; + + op[tkm3].re = tau6r - tau5i; + op[tkm3].im = tau6i + tau5r; + + for (k = 1; k < m; k++) { + ind = m-1+4*k; + wlr = (obj->twiddle+ind)->re; + wli = (obj->twiddle+ind)->im; + ind++; + wl2r = (obj->twiddle+ind)->re; + wl2i = (obj->twiddle+ind)->im; + ind++; + wl3r = (obj->twiddle+ind)->re; + wl3i = (obj->twiddle+ind)->im; + ind++; + wl4r = (obj->twiddle+ind)->re; + wl4i = (obj->twiddle+ind)->im; + + tkm1 = k + m; + tkm2 = tkm1 + m; + tkm3 = tkm2 + m; + tkm4 = tkm3 + m; + + ar = op[k].re; + ai = op[k].im; + + br = op[tkm1].re * wlr - op[tkm1].im * wli; + bi = op[tkm1].im * wlr + op[tkm1].re * wli; + + cr = op[tkm2].re * wl2r - op[tkm2].im * wl2i; + ci = op[tkm2].im * wl2r + op[tkm2].re * wl2i; + + dr = op[tkm3].re * wl3r - op[tkm3].im * wl3i; + di = op[tkm3].im * wl3r + op[tkm3].re * wl3i; + + er = op[tkm4].re * wl4r - op[tkm4].im * wl4i; + ei = op[tkm4].im * wl4r + op[tkm4].re * wl4i; + + tau0r = br + er; + tau0i = bi + ei; + + tau1r = cr + dr; + tau1i = ci + di; + + tau2r = br - er; + tau2i = bi - ei; + + tau3r = cr - dr; + tau3i = ci - di; + + op[k].re = ar + tau0r + tau1r; + op[k].im = ai + tau0i + tau1i; + + tau4r = c1 * tau0r + c2 * tau1r; + tau4i = c1 * tau0i + c2 * tau1i; + + //tau5r = sgn * ( s1 * tau2r + s2 * tau3r); + //tau5i = sgn * ( s1 * tau2i + s2 * tau3i); + + if (sgn == 1) { + tau5r = s1 * tau2r + s2 * tau3r; + tau5i = s1 * tau2i + s2 * tau3i; + + } else { + tau5r = -s1 * tau2r - s2 * tau3r; + tau5i = -s1 * tau2i - s2 * tau3i; + + } + + tau6r = ar + tau4r; + tau6i = ai + tau4i; + + op[tkm1].re = tau6r + tau5i; + op[tkm1].im = tau6i - tau5r; + + op[tkm4].re = tau6r - tau5i; + op[tkm4].im = tau6i + tau5r; + + tau4r = c2 * tau0r + c1 * tau1r; + tau4i = c2 * tau0i + c1 * tau1i; + + //tau5r = sgn * ( s2 * tau2r - s1 * tau3r); + //tau5i = sgn * ( s2 * tau2i - s1 * tau3i); + + if (sgn == 1) { + tau5r = s2 * tau2r - s1 * tau3r; + tau5i = s2 * tau2i - s1 * tau3i; + + } else { + tau5r = -s2 * tau2r + s1 * tau3r; + tau5i = -s2 * tau2i + s1 * tau3i; + + } + + tau6r = ar + tau4r; + tau6i = ai + tau4i; + + op[tkm2].re = tau6r + tau5i; + op[tkm2].im = tau6i - tau5r; + + op[tkm3].re = tau6r - tau5i; + op[tkm3].im = tau6i + tau5r; + + } + + } else if (radix == 7) { + int k,tkm1,tkm2,tkm3,tkm4,tkm5,tkm6,ind; + fft_type wlr,wli,wl2r,wl2i,wl3r,wl3i,wl4r,wl4i,wl5r,wl5i,wl6r,wl6i; + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i; + fft_type ar,ai,br,bi,cr,ci,dr,di,er,ei,fr,fi,gr,gi; + fft_type tau4r,tau4i,tau5r,tau5i,tau6r,tau6i,tau7r,tau7i; + fft_type c1,c2,c3,s1,s2,s3; + m = N/7; + ll = 7*l; + mixed_radix_dit_rec(op,ip,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+m,ip+l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+2*m,ip+2*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+3*m,ip+3*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+4*m,ip+4*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+5*m,ip+5*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+6*m,ip+6*l,obj,sgn,m,ll,inc+1); + //printf("%d \n",inc); + //mixed_radix3_dit_rec(op,ip,obj,sgn,ll,m); + + c1 = 0.62348980185; + c2 = -0.22252093395; + c3 = -0.9009688679; + s1 = 0.78183148246; + s2 = 0.97492791218; + s3 = 0.43388373911; + + tkm1 = m; + tkm2 = tkm1 + m; + tkm3 = tkm2 + m; + tkm4 = tkm3 + m; + tkm5 = tkm4 + m; + tkm6 = tkm5 + m; + + ar = op[0].re; + ai = op[0].im; + + br = op[tkm1].re; + bi = op[tkm1].im; + + cr = op[tkm2].re; + ci = op[tkm2].im; + + dr = op[tkm3].re; + di = op[tkm3].im; + + er = op[tkm4].re; + ei = op[tkm4].im; + + fr = op[tkm5].re; + fi = op[tkm5].im; + + gr = op[tkm6].re; + gi = op[tkm6].im; + + tau0r = br + gr; + tau3r = br - gr; + tau0i = bi + gi; + tau3i = bi - gi; + + tau1r = cr + fr; + tau4r = cr - fr; + tau1i = ci + fi; + tau4i = ci - fi; + + tau2r = dr + er; + tau5r = dr - er; + tau2i = di + ei; + tau5i = di - ei; + + op[0].re = ar + tau0r + tau1r + tau2r; + op[0].im = ai + tau0i + tau1i + tau2i; + + tau6r = ar + c1 * tau0r + c2 * tau1r + c3 * tau2r; + tau6i = ai + c1 * tau0i + c2 * tau1i + c3 * tau2i; + + //tau7r = sgn * ( -s1 * tau3r - s2 * tau4r - s3 * tau5r); + //tau7i = sgn * ( -s1 * tau3i - s2 * tau4i - s3 * tau5i); + + if (sgn == 1) { + tau7r = -s1 * tau3r - s2 * tau4r - s3 * tau5r; + tau7i = -s1 * tau3i - s2 * tau4i - s3 * tau5i; + + } else { + tau7r = s1 * tau3r + s2 * tau4r + s3 * tau5r; + tau7i = s1 * tau3i + s2 * tau4i + s3 * tau5i; + + } + + + op[tkm1].re = tau6r - tau7i; + op[tkm1].im = tau6i + tau7r; + + op[tkm6].re = tau6r + tau7i; + op[tkm6].im = tau6i - tau7r; + + tau6r = ar + c2 * tau0r + c3 * tau1r + c1 * tau2r; + tau6i = ai + c2 * tau0i + c3 * tau1i + c1 * tau2i; + + //tau7r = sgn * ( -s2 * tau3r + s3 * tau4r + s1 * tau5r); + //tau7i = sgn * ( -s2 * tau3i + s3 * tau4i + s1 * tau5i); + + if (sgn == 1) { + tau7r = -s2 * tau3r + s3 * tau4r + s1 * tau5r; + tau7i = -s2 * tau3i + s3 * tau4i + s1 * tau5i; + + } else { + tau7r = s2 * tau3r - s3 * tau4r - s1 * tau5r; + tau7i = s2 * tau3i - s3 * tau4i - s1 * tau5i; + + } + + + op[tkm2].re = tau6r - tau7i; + op[tkm2].im = tau6i + tau7r; + + op[tkm5].re = tau6r + tau7i; + op[tkm5].im = tau6i - tau7r; + + tau6r = ar + c3 * tau0r + c1 * tau1r + c2 * tau2r; + tau6i = ai + c3 * tau0i + c1 * tau1i + c2 * tau2i; + + //tau7r = sgn * ( -s3 * tau3r + s1 * tau4r - s2 * tau5r); + //tau7i = sgn * ( -s3 * tau3i + s1 * tau4i - s2 * tau5i); + + if (sgn == 1) { + tau7r = -s3 * tau3r + s1 * tau4r - s2 * tau5r; + tau7i = -s3 * tau3i + s1 * tau4i - s2 * tau5i; + + } else { + tau7r = s3 * tau3r - s1 * tau4r + s2 * tau5r; + tau7i = s3 * tau3i - s1 * tau4i + s2 * tau5i; + + } + + + op[tkm3].re = tau6r - tau7i; + op[tkm3].im = tau6i + tau7r; + + op[tkm4].re = tau6r + tau7i; + op[tkm4].im = tau6i - tau7r; + + + for (k = 1; k < m; k++) { + ind = m-1+6*k; + wlr = (obj->twiddle+ind)->re; + wli = (obj->twiddle+ind)->im; + ind++; + wl2r = (obj->twiddle+ind)->re; + wl2i = (obj->twiddle+ind)->im; + ind++; + wl3r = (obj->twiddle+ind)->re; + wl3i = (obj->twiddle+ind)->im; + ind++; + wl4r = (obj->twiddle+ind)->re; + wl4i = (obj->twiddle+ind)->im; + ind++; + wl5r = (obj->twiddle+ind)->re; + wl5i = (obj->twiddle+ind)->im; + ind++; + wl6r = (obj->twiddle+ind)->re; + wl6i = (obj->twiddle+ind)->im; + + tkm1 = k + m; + tkm2 = tkm1 + m; + tkm3 = tkm2 + m; + tkm4 = tkm3 + m; + tkm5 = tkm4 + m; + tkm6 = tkm5 + m; + + ar = op[k].re; + ai = op[k].im; + + br = op[tkm1].re * wlr - op[tkm1].im * wli; + bi = op[tkm1].im * wlr + op[tkm1].re * wli; + + cr = op[tkm2].re * wl2r - op[tkm2].im * wl2i; + ci = op[tkm2].im * wl2r + op[tkm2].re * wl2i; + + dr = op[tkm3].re * wl3r - op[tkm3].im * wl3i; + di = op[tkm3].im * wl3r + op[tkm3].re * wl3i; + + er = op[tkm4].re * wl4r - op[tkm4].im * wl4i; + ei = op[tkm4].im * wl4r + op[tkm4].re * wl4i; + + fr = op[tkm5].re * wl5r - op[tkm5].im * wl5i; + fi = op[tkm5].im * wl5r + op[tkm5].re * wl5i; + + gr = op[tkm6].re * wl6r - op[tkm6].im * wl6i; + gi = op[tkm6].im * wl6r + op[tkm6].re * wl6i; + + tau0r = br + gr; + tau3r = br - gr; + tau0i = bi + gi; + tau3i = bi - gi; + + tau1r = cr + fr; + tau4r = cr - fr; + tau1i = ci + fi; + tau4i = ci - fi; + + tau2r = dr + er; + tau5r = dr - er; + tau2i = di + ei; + tau5i = di - ei; + + op[k].re = ar + tau0r + tau1r + tau2r; + op[k].im = ai + tau0i + tau1i + tau2i; + + tau6r = ar + c1 * tau0r + c2 * tau1r + c3 * tau2r; + tau6i = ai + c1 * tau0i + c2 * tau1i + c3 * tau2i; + + //tau7r = sgn * ( -s1 * tau3r - s2 * tau4r - s3 * tau5r); + //tau7i = sgn * ( -s1 * tau3i - s2 * tau4i - s3 * tau5i); + + if (sgn == 1) { + tau7r = -s1 * tau3r - s2 * tau4r - s3 * tau5r; + tau7i = -s1 * tau3i - s2 * tau4i - s3 * tau5i; + + } else { + tau7r = s1 * tau3r + s2 * tau4r + s3 * tau5r; + tau7i = s1 * tau3i + s2 * tau4i + s3 * tau5i; + + } + + + op[tkm1].re = tau6r - tau7i; + op[tkm1].im = tau6i + tau7r; + + op[tkm6].re = tau6r + tau7i; + op[tkm6].im = tau6i - tau7r; + + tau6r = ar + c2 * tau0r + c3 * tau1r + c1 * tau2r; + tau6i = ai + c2 * tau0i + c3 * tau1i + c1 * tau2i; + + //tau7r = sgn * ( -s2 * tau3r + s3 * tau4r + s1 * tau5r); + //tau7i = sgn * ( -s2 * tau3i + s3 * tau4i + s1 * tau5i); + + if (sgn == 1) { + tau7r = -s2 * tau3r + s3 * tau4r + s1 * tau5r; + tau7i = -s2 * tau3i + s3 * tau4i + s1 * tau5i; + + } else { + tau7r = s2 * tau3r - s3 * tau4r - s1 * tau5r; + tau7i = s2 * tau3i - s3 * tau4i - s1 * tau5i; + + } + + + op[tkm2].re = tau6r - tau7i; + op[tkm2].im = tau6i + tau7r; + + op[tkm5].re = tau6r + tau7i; + op[tkm5].im = tau6i - tau7r; + + tau6r = ar + c3 * tau0r + c1 * tau1r + c2 * tau2r; + tau6i = ai + c3 * tau0i + c1 * tau1i + c2 * tau2i; + + //tau7r = sgn * ( -s3 * tau3r + s1 * tau4r - s2 * tau5r); + //tau7i = sgn * ( -s3 * tau3i + s1 * tau4i - s2 * tau5i); + + if (sgn == 1) { + tau7r = -s3 * tau3r + s1 * tau4r - s2 * tau5r; + tau7i = -s3 * tau3i + s1 * tau4i - s2 * tau5i; + + } else { + tau7r = s3 * tau3r - s1 * tau4r + s2 * tau5r; + tau7i = s3 * tau3i - s1 * tau4i + s2 * tau5i; + + } + + + op[tkm3].re = tau6r - tau7i; + op[tkm3].im = tau6i + tau7r; + + op[tkm4].re = tau6r + tau7i; + op[tkm4].im = tau6i - tau7r; + + } + + } else if (radix == 8) { + int k,tkm1,tkm2,tkm3,tkm4,tkm5,tkm6,tkm7,ind; + fft_type wlr,wli,wl2r,wl2i,wl3r,wl3i,wl4r,wl4i,wl5r,wl5i,wl6r,wl6i,wl7r,wl7i; + fft_type tau0r,tau0i,tau1r,tau1i,tau2r,tau2i,tau3r,tau3i; + fft_type ar,ai,br,bi,cr,ci,dr,di,er,ei,fr,fi,gr,gi,hr,hi; + fft_type tau4r,tau4i,tau5r,tau5i,tau6r,tau6i,tau7r,tau7i,tau8r,tau8i,tau9r,tau9i; + fft_type c1,s1,temp1r,temp1i,temp2r,temp2i; + m = N/8; + ll = 8*l; + mixed_radix_dit_rec(op,ip,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+m,ip+l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+2*m,ip+2*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+3*m,ip+3*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+4*m,ip+4*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+5*m,ip+5*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+6*m,ip+6*l,obj,sgn,m,ll,inc+1); + mixed_radix_dit_rec(op+7*m,ip+7*l,obj,sgn,m,ll,inc+1); + //printf("%d \n",inc); + //mixed_radix3_dit_rec(op,ip,obj,sgn,ll,m); + + c1 = 0.70710678118654752440084436210485; + s1 = 0.70710678118654752440084436210485; + + + for (k = 0; k < m; k++) { + ind = m-1+7*k; + wlr = (obj->twiddle+ind)->re; + wli = (obj->twiddle+ind)->im; + ind++; + wl2r = (obj->twiddle+ind)->re; + wl2i = (obj->twiddle+ind)->im; + ind++; + wl3r = (obj->twiddle+ind)->re; + wl3i = (obj->twiddle+ind)->im; + ind++; + wl4r = (obj->twiddle+ind)->re; + wl4i = (obj->twiddle+ind)->im; + ind++; + wl5r = (obj->twiddle+ind)->re; + wl5i = (obj->twiddle+ind)->im; + ind++; + wl6r = (obj->twiddle+ind)->re; + wl6i = (obj->twiddle+ind)->im; + ind++; + wl7r = (obj->twiddle+ind)->re; + wl7i = (obj->twiddle+ind)->im; + + tkm1 = k + m; + tkm2 = tkm1 + m; + tkm3 = tkm2 + m; + tkm4 = tkm3 + m; + tkm5 = tkm4 + m; + tkm6 = tkm5 + m; + tkm7 = tkm6 + m; + + ar = op[k].re; + ai = op[k].im; + + br = op[tkm1].re * wlr - op[tkm1].im * wli; + bi = op[tkm1].im * wlr + op[tkm1].re * wli; + + cr = op[tkm2].re * wl2r - op[tkm2].im * wl2i; + ci = op[tkm2].im * wl2r + op[tkm2].re * wl2i; + + dr = op[tkm3].re * wl3r - op[tkm3].im * wl3i; + di = op[tkm3].im * wl3r + op[tkm3].re * wl3i; + + er = op[tkm4].re * wl4r - op[tkm4].im * wl4i; + ei = op[tkm4].im * wl4r + op[tkm4].re * wl4i; + + fr = op[tkm5].re * wl5r - op[tkm5].im * wl5i; + fi = op[tkm5].im * wl5r + op[tkm5].re * wl5i; + + gr = op[tkm6].re * wl6r - op[tkm6].im * wl6i; + gi = op[tkm6].im * wl6r + op[tkm6].re * wl6i; + + hr = op[tkm7].re * wl7r - op[tkm7].im * wl7i; + hi = op[tkm7].im * wl7r + op[tkm7].re * wl7i; + + tau0r = ar + er; + tau4r = ar - er; + tau0i = ai + ei; + tau4i = ai - ei; + + tau1r = br + hr; + tau5r = br - hr; + tau1i = bi + hi; + tau5i = bi - hi; + + tau2r = dr + fr; + tau6r = dr - fr; + tau6i = di - fi; + tau2i = di + fi; + + tau3r = cr + gr; + tau7r = cr - gr; + tau7i = ci - gi; + tau3i = ci + gi; + + op[k].re = tau0r + tau1r + tau2r + tau3r; + op[k].im = tau0i + tau1i + tau2i + tau3i; + + op[tkm4].re = tau0r - tau1r - tau2r + tau3r; + op[tkm4].im = tau0i - tau1i - tau2i + tau3i; + + temp1r = tau1r - tau2r; + temp1i = tau1i - tau2i; + + temp2r = tau5r + tau6r; + temp2i = tau5i + tau6i; + + tau8r = tau4r + c1 * temp1r; + tau8i = tau4i + c1 * temp1i; + + //tau9r = sgn * ( -s1 * temp2r - tau7r); + //tau9i = sgn * ( -s1 * temp2i - tau7i); + + if (sgn == 1) { + tau9r = -s1 * temp2r - tau7r; + tau9i = -s1 * temp2i - tau7i; + + } else { + tau9r = s1 * temp2r + tau7r; + tau9i = s1 * temp2i + tau7i; + + } + + + op[tkm1].re = tau8r - tau9i; + op[tkm1].im = tau8i + tau9r; + + op[tkm7].re = tau8r + tau9i; + op[tkm7].im = tau8i - tau9r; + + tau8r = tau0r - tau3r; + tau8i = tau0i - tau3i; + + //tau9r = sgn * ( -tau5r + tau6r); + //tau9i = sgn * ( -tau5i + tau6i); + + if (sgn == 1) { + tau9r = -tau5r + tau6r; + tau9i = -tau5i + tau6i; + + } else { + tau9r = tau5r - tau6r; + tau9i = tau5i - tau6i; + + } + + + op[tkm2].re = tau8r - tau9i; + op[tkm2].im = tau8i + tau9r; + + op[tkm6].re = tau8r + tau9i; + op[tkm6].im = tau8i - tau9r; + + tau8r = tau4r - c1 * temp1r; + tau8i = tau4i - c1 * temp1i; + + //tau9r = sgn * ( -s1 * temp2r + tau7r); + //tau9i = sgn * ( -s1 * temp2i + tau7i); + + if (sgn == 1) { + tau9r = -s1 * temp2r + tau7r; + tau9i = -s1 * temp2i + tau7i; + + } else { + tau9r = s1 * temp2r - tau7r; + tau9i = s1 * temp2i - tau7i; + + } + + + op[tkm3].re = tau8r - tau9i; + op[tkm3].im = tau8i + tau9r; + + op[tkm5].re = tau8r + tau9i; + op[tkm5].im = tau8i - tau9r; + + } + + } else { + int k,i,ind; + int M,tkm,u,v,t,tt; + fft_type temp1r,temp1i,temp2r,temp2i; + fft_type* wlr = (fft_type*) malloc (sizeof(fft_type) * (radix-1)); + fft_type* wli = (fft_type*) malloc (sizeof(fft_type) * (radix-1)); + fft_type* taur = (fft_type*) malloc (sizeof(fft_type) * (radix-1)); + fft_type* taui = (fft_type*) malloc (sizeof(fft_type) * (radix-1)); + fft_type* c1 = (fft_type*) malloc (sizeof(fft_type) * (radix-1)); + fft_type* s1 = (fft_type*) malloc (sizeof(fft_type) * (radix-1)); + fft_type* yr = (fft_type*) malloc (sizeof(fft_type) * (radix)); + fft_type* yi = (fft_type*) malloc (sizeof(fft_type) * (radix)); + + m = N /radix; + ll = radix * l; + + for (i = 0; i < radix;++i) { + mixed_radix_dit_rec(op+i*m,ip+i*l,obj,sgn,m,ll,inc+1); + } + + M = (radix - 1 )/2; + + for (i = 1; i < M+1;++i) { + c1[i-1] = cos(i*PI2/radix); + s1[i-1] = sin(i*PI2/radix); + } + + for (i = 0; i < M;++i) { + s1[i+M] = -s1[M-1-i]; + c1[i+M] = c1[M-1-i]; + } + + for (k = 0; k < m;++k) { + ind = m-1+(radix-1)*k; + yr[0] = op[k].re; + yi[0] = op[k].im; + for(i =0; i < radix -1;++i) { + wlr[i] = (obj->twiddle+ind)->re; + wli[i] = (obj->twiddle+ind)->im; + tkm = k + (i+1)*m; + yr[i+1] = op[tkm].re * wlr[i] - op[tkm].im * wli[i]; + yi[i+1] = op[tkm].im * wlr[i] + op[tkm].re * wli[i]; + ind++; + } + + for (i = 0; i < M; ++i) { + taur[i] = yr[i+1] + yr[radix-1-i]; + taui[i+M] = yi[i+1] - yi[radix-1-i]; + taui[i] = yi[i+1] + yi[radix-1-i]; + taur[i+M] = yr[i+1] - yr[radix-1-i]; + } + + temp1r = yr[0]; + temp1i = yi[0]; + + for (i = 0; i < M; ++i) { + temp1r+= taur[i]; + temp1i+= taui[i]; + } + + op[k].re = temp1r; + op[k].im = temp1i; + + for (u = 0; u < M; u++) { + temp1r = yr[0]; + temp1i = yi[0]; + temp2r = 0.0; + temp2i = 0.0; + for (v = 0; v < M; v++) { + //int ind2 = (u+v)%M; + t = (u+1)*(v+1); + while(t >= radix) + t-=radix; + tt = t-1; + + temp1r+= c1[tt]*taur[v]; + temp1i+= c1[tt]*taui[v]; + temp2r-= s1[tt]*taur[v+M]; + temp2i-= s1[tt]*taui[v+M]; + } + temp2r = sgn * temp2r; + temp2i = sgn * temp2i; + + + op[k + (u+1)*m].re = temp1r - temp2i; + op[k + (u+1)*m].im = temp1i + temp2r; + + op[k + (radix-u-1)*m].re = temp1r + temp2i; + op[k + (radix-u-1)*m].im = temp1i - temp2r; + } + + + } + free(wlr); + free(wli); + free(taur); + free(taui); + free(c1); + free(s1); + free(yr); + free(yi); + + } + + +} + +static void bluestein_exp(fft_data *hl, fft_data *hlt, int len, int M) { + fft_type PI,theta,angle; + int l2,len2,i; + PI = 3.1415926535897932384626433832795; + theta = PI / len; + l2 = 0; + len2 = 2 * len; + + for (i = 0 ; i < len; ++i) { + angle = theta * l2; + hlt[i].re = cos(angle); + hlt[i].im = sin(angle); + hl[i].re = hlt[i].re; + hl[i].im = hlt[i].im; + l2+=2*i+1; + while (l2 > len2) { + l2-=len2; + } + + } + + for (i = len; i < M-len+1; i++) { + hl[i].re = 0.0; + hl[i].im = 0.0; + } + + for (i = M - len + 1; i < M; i++) { + hl[i].re = hlt[M-i].re; + hl[i].im = hlt[M-i].im; + } + +} + +static void bluestein_fft(fft_data *data, fft_data *oup,fft_object obj,int sgn, int N) { + + int K,M,ii,i; + int def_lt,def_N,def_sgn; + fft_type scale,temp; + fft_data* yn; + fft_data* hk; + fft_data* tempop; + fft_data* yno; + fft_data* hlt; + obj->lt = 0; + K = (int) pow(2.0,ceil((double) log10((double) N)/log10((double) 2.0))); + def_lt = 1; + def_sgn = obj->sgn; + def_N = obj->N; + + if (K < 2 * N - 2) { + M = K * 2; + } else { + M = K; + } + obj->N = M; + + yn = (fft_data*) malloc (sizeof(fft_data) * M); + hk = (fft_data*) malloc (sizeof(fft_data) * M); + tempop = (fft_data*) malloc (sizeof(fft_data) * M); + yno = (fft_data*) malloc (sizeof(fft_data) * M); + hlt = (fft_data*) malloc (sizeof(fft_data) * N); + //fft_data* twi = (fft_data*) malloc (sizeof(fft_data) * M); + + bluestein_exp(tempop,hlt,N,M); + scale = 1.0/M; + + for (ii = 0; ii < M; ++ii) { + tempop[ii].im *= scale; + tempop[ii].re *= scale; + } + + //fft_object obj = initialize_fft2(M,1); + fft_exec(obj,tempop,hk); + + if (sgn == 1) { + for (i = 0; i < N; i++) { + tempop[i].re = data[i].re * hlt[i].re + data[i].im * hlt[i].im; + tempop[i].im = -data[i].re * hlt[i].im + data[i].im * hlt[i].re; + } + } else { + for (i = 0; i < N; i++) { + tempop[i].re = data[i].re * hlt[i].re - data[i].im * hlt[i].im; + tempop[i].im = data[i].re * hlt[i].im + data[i].im * hlt[i].re; + } + } + + for (i = N;i < M;i++) { + tempop[i].re = 0.0; + tempop[i].im = 0.0; + } + + fft_exec(obj,tempop,yn); + + if (sgn == 1) { + for (i = 0; i < M; i++) { + temp = yn[i].re * hk[i].re - yn[i].im * hk[i].im; + yn[i].im = yn[i].re * hk[i].im + yn[i].im * hk[i].re; + yn[i].re = temp; + } + } else { + for (i = 0; i < M; i++) { + temp = yn[i].re * hk[i].re + yn[i].im * hk[i].im; + yn[i].im = -yn[i].re * hk[i].im + yn[i].im * hk[i].re; + yn[i].re = temp; + } + + } + + //IFFT + + for (ii = 0; ii < M; ++ii) { + (obj->twiddle+ii)->im = -(obj->twiddle+ii)->im; + } + + obj->sgn = -1*sgn; + + fft_exec(obj,yn,yno); + + if (sgn == 1) { + for (i = 0; i < N; i++) { + oup[i].re = yno[i].re * hlt[i].re + yno[i].im * hlt[i].im; + oup[i].im = -yno[i].re * hlt[i].im + yno[i].im * hlt[i].re; + } + } else { + for (i = 0; i < N; i++) { + oup[i].re = yno[i].re * hlt[i].re - yno[i].im * hlt[i].im; + oup[i].im = yno[i].re * hlt[i].im + yno[i].im * hlt[i].re; + } + + } + + obj->sgn = def_sgn; + obj->N = def_N; + obj->lt = def_lt; + for (ii = 0; ii < M; ++ii) { + (obj->twiddle+ii)->im = -(obj->twiddle+ii)->im; + } + + free(yn); + free(yno); + free(tempop); + free(hk); + free(hlt); + +} + + + +void fft_exec(fft_object obj,fft_data *inp,fft_data *oup) { + if (obj->lt == 0) { + //fftct_radix3_dit_rec(inp,oup,obj, obj->sgn, obj->N); + //fftct_mixed_rec(inp,oup,obj, obj->sgn, obj->N); + //printf("%f \n", 1.785); + int l,inc; + int nn,sgn1; + nn = obj->N; + sgn1 = obj->sgn; + l = 1; + inc = 0; + //radix3_dit_rec(oup,inp,obj,sgn1,nn,l); + mixed_radix_dit_rec(oup,inp,obj,sgn1,nn,l,inc); + } else if (obj->lt == 1){ + //printf("%f \n", 1.785); + int nn,sgn1; + nn = obj->N; + sgn1 = obj->sgn; + bluestein_fft(inp,oup,obj,sgn1,nn); + + } + +} + +int divideby(int M,int d) { + while (M%d == 0) { + M = M/d; + } + if (M == 1) { + return 1; + } + return 0; +} + +int dividebyN(int N) { + while (N%53 == 0) { + N = N/53; + } + while (N%47 == 0) { + N = N/47; + } + while (N%43 == 0) { + N = N/43; + } + while (N%41 == 0) { + N = N/41; + } + while (N%37 == 0) { + N = N/37; + } + while (N%31 == 0) { + N = N/31; + } + while (N%29 == 0) { + N = N/29; + } + while (N%23 == 0) { + N = N/23; + } + while (N%17 == 0) { + N = N/17; + } + while (N%13 == 0) { + N = N/13; + } + while (N%11 == 0) { + N = N/11; + } + while (N%8 == 0) { + N = N/8; + } + while (N%7 == 0) { + N = N/7; + } + while (N%5 == 0) { + N = N/5; + } + while (N%4 == 0) { + N = N/4; + } + while (N%3 == 0) { + N = N/3; + } + while (N%2 == 0) { + N = N/2; + } + if (N == 1) { + return 1; + } + return 0; + +} + +int factors(int M, int* arr) { + int i,N,num,mult,m1,m2; + i = 0; + N = M; + while (N%53 == 0) { + N = N/53; + arr[i] = 53; + i++; + } + while (N%47 == 0) { + N = N/47; + arr[i] = 47; + i++; + } + while (N%43 == 0) { + N = N/43; + arr[i] = 43; + i++; + } + while (N%41 == 0) { + N = N/41; + arr[i] = 41; + i++; + } + while (N%37 == 0) { + N = N/37; + arr[i] = 37; + i++; + } + while (N%31 == 0) { + N = N/31; + arr[i] = 31; + i++; + } + while (N%29 == 0) { + N = N/29; + arr[i] = 29; + i++; + } + while (N%23 == 0) { + N = N/23; + arr[i] = 23; + i++; + } + while (N%19 == 0) { + N = N/19; + arr[i] = 19; + i++; + } + while (N%17 == 0) { + N = N/17; + arr[i] = 17; + i++; + } + while (N%13 == 0) { + N = N/13; + arr[i] = 13; + i++; + } + while (N%11 == 0) { + N = N/11; + arr[i] = 11; + i++; + } + while (N%8 == 0) { + N = N/8; + arr[i] = 8; + i++; + } + while (N%7 == 0) { + N = N/7; + arr[i] = 7; + i++; + } + while (N%5 == 0) { + N = N/5; + arr[i] = 5; + i++; + } + while (N%4 == 0) { + N = N/4; + arr[i] = 4; + i++; + } + while (N%3 == 0) { + N = N/3; + arr[i] = 3; + i++; + } + while (N%2 == 0) { + N = N/2; + arr[i] = 2; + i++; + } + if (N > 31) { + num = 2; + + while (N > 1) { + mult = num*6; + m1 = mult-1; + m2 = mult+1; + while (N%m1 == 0 ) { + arr[i] = m1; + i++; + N = N / m1; + } + while (N%m2 == 0 ) { + arr[i] = m2; + i++; + N = N / m2; + } + num+=1; + + } + } + return i; + +} + + +void twiddle(fft_data *vec,int N, int radix) { + int K,KL; + fft_type theta,theta2; + theta = PI2/N; + KL = N/radix; + vec[0].re = 1.0; + vec[0].im = 0.0; + + for (K = 1; K < KL;K++) { + theta2 = theta * K; + vec[K].re = cos(theta2); + vec[K].im = -sin(theta2); + } + +} + +void longvectorN(fft_data *sig, int *array, int tx) { + int L,i,Ls,ct,j,k; + fft_type theta; + L = 1; + ct = 0; + for (i = 0; i < tx; i++) { + L = L * array[tx-1-i]; + Ls = L / array[tx-1-i]; + theta = -1.0 * PI2/L; + for (j = 0; j < Ls;j++) { + for (k = 0; k < array[tx-1-i] -1 ;k++) { + sig[ct].re = cos((k+1)*j*theta); + sig[ct].im = sin((k+1)*j*theta); + ct++; + } + } + + } + +} + + + + +void free_fft(fft_object object) { + free(object); +} diff --git a/dep/wavelib/src/hsfft.h b/dep/wavelib/src/hsfft.h new file mode 100644 index 0000000..f32d271 --- /dev/null +++ b/dep/wavelib/src/hsfft.h @@ -0,0 +1,60 @@ +/* + * hsfft.h + * + * Created on: Apr 14, 2013 + * Author: Rafat Hussain + */ + +#ifndef HSFFT_H_ +#define HSFFT_H_ + +#include +#include +#include + +#include "../header/wavelib.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#define PI2 6.28318530717958647692528676655900577 + +#ifndef fft_type +#define fft_type double +#endif + +/* +#define SADD(a,b) ((a)+(b)) + +#define SSUB(a,b) ((a)+(b)) + +#define SMUL(a,b) ((a)*(b)) +*/ + +fft_object fft_init(int N, int sgn); + +void fft_exec(fft_object obj,fft_data *inp,fft_data *oup); + +int divideby(int M,int d); + +int dividebyN(int N); + +//void arrrev(int M, int* arr); + +int factors(int M, int* arr); + +void twiddle(fft_data *sig,int N, int radix); + +void longvectorN(fft_data *sig, int *array, int M); + +void free_fft(fft_object object); + +#ifdef __cplusplus +} +#endif + + + + +#endif /* HSFFT_H_ */ diff --git a/dep/wavelib/src/real.c b/dep/wavelib/src/real.c new file mode 100644 index 0000000..37f69d6 --- /dev/null +++ b/dep/wavelib/src/real.c @@ -0,0 +1,109 @@ +/* + * real.c + * + * Created on: Apr 20, 2013 + * Author: Rafat Hussain + */ +#include +#include "real.h" + +fft_real_object fft_real_init(int N, int sgn) { + fft_real_object obj = NULL; + fft_type theta; + int k; + + obj = (fft_real_object) malloc (sizeof(struct fft_real_set) + sizeof(fft_data)* (N/2)); + + obj->cobj = fft_init(N/2,sgn); + + for (k = 0; k < N/2;++k) { + theta = PI2*k/N; + obj->twiddle2[k].re = cos(theta); + obj->twiddle2[k].im = sin(theta); + + } + + + return obj; + + +} + +void fft_r2c_exec(fft_real_object obj,fft_type *inp,fft_data *oup) { + fft_data* cinp; + fft_data* coup; + int i,N2,N; + fft_type temp1,temp2; + N2 = obj->cobj->N; + N = N2*2; + + cinp = (fft_data*) malloc (sizeof(fft_data) * N2); + coup = (fft_data*) malloc (sizeof(fft_data) * N2); + + for (i = 0; i < N2; ++i) { + cinp[i].re = inp[2*i]; + cinp[i].im = inp[2*i+1]; + } + + fft_exec(obj->cobj,cinp,coup); + + oup[0].re = coup[0].re + coup[0].im; + oup[0].im = 0.0; + + for (i = 1; i < N2; ++i) { + temp1 = coup[i].im + coup[N2-i].im ; + temp2 = coup[N2-i].re - coup[i].re ; + oup[i].re = (coup[i].re + coup[N2-i].re + (temp1 * obj->twiddle2[i].re) + (temp2 * obj->twiddle2[i].im)) / 2.0; + oup[i].im = (coup[i].im - coup[N2-i].im + (temp2 * obj->twiddle2[i].re) - (temp1 * obj->twiddle2[i].im)) / 2.0; + } + + + + oup[N2].re = coup[0].re - coup[0].im; + oup[N2].im = 0.0; + + for (i = 1; i < N2;++i) { + oup[N-i].re = oup[i].re; + oup[N-i].im = -oup[i].im; + } + + + free(cinp); + free(coup); + +} + +void fft_c2r_exec(fft_real_object obj,fft_data *inp,fft_type *oup) { + + fft_data* cinp; + fft_data* coup; + int i,N2; + fft_type temp1,temp2; + N2 = obj->cobj->N; + + cinp = (fft_data*) malloc (sizeof(fft_data) * N2); + coup = (fft_data*) malloc (sizeof(fft_data) * N2); + + for (i = 0; i < N2; ++i) { + temp1 = -inp[i].im - inp[N2-i].im ; + temp2 = -inp[N2-i].re + inp[i].re ; + cinp[i].re = inp[i].re + inp[N2-i].re + (temp1 * obj->twiddle2[i].re) - (temp2 * obj->twiddle2[i].im); + cinp[i].im = inp[i].im - inp[N2-i].im + (temp2 * obj->twiddle2[i].re) + (temp1 * obj->twiddle2[i].im); + } + + fft_exec(obj->cobj,cinp,coup); + for (i = 0; i < N2; ++i) { + oup[2*i] = coup[i].re; + oup[2*i+1] = coup[i].im; + } + free(cinp); + free(coup); + + +} + +void free_real_fft(fft_real_object object) { + free_fft(object->cobj); + free(object); +} + diff --git a/dep/wavelib/src/real.h b/dep/wavelib/src/real.h new file mode 100644 index 0000000..8632305 --- /dev/null +++ b/dep/wavelib/src/real.h @@ -0,0 +1,29 @@ +/* + * real.h + * + * Created on: Apr 20, 2013 + * Author: Rafat Hussain + */ + +#ifndef REAL_H_ +#define REAL_H_ + +#include "hsfft.h" + +#ifdef __cplusplus +extern "C" { +#endif + +fft_real_object fft_real_init(int N, int sgn); + +void fft_r2c_exec(fft_real_object obj,fft_type *inp,fft_data *oup); + +void fft_c2r_exec(fft_real_object obj,fft_data *inp,fft_type *oup); + +void free_real_fft(fft_real_object object); + +#ifdef __cplusplus +} +#endif + +#endif /* REAL_H_ */ diff --git a/dep/wavelib/src/wavefilt.c b/dep/wavelib/src/wavefilt.c new file mode 100644 index 0000000..cf3e041 --- /dev/null +++ b/dep/wavelib/src/wavefilt.c @@ -0,0 +1,4315 @@ +/* +* Copyright (c) 2014, Rafat Hussain +* Copyright (C) 2016 Holger Nahrstaedt +* Daubechies wavelets coefficents Computed by Kazuo Hatano, Aichi Institute of Technology. http://phase.hpcc.jp/phase/wavelet/ +*/ +#include "wavefilt.h" + + +static const double db1[2] = { + 7.071067811865475244008443621048490392848359376884740365883398e-01, + 7.071067811865475244008443621048490392848359376884740365883398e-01 +}; + +static const double db2[4] = { + 4.829629131445341433748715998644486838169524195042022752011715e-01, + 8.365163037378079055752937809168732034593703883484392934953414e-01, + 2.241438680420133810259727622404003554678835181842717613871683e-01, + -1.294095225512603811744494188120241641745344506599652569070016e-01 +}; + + +static const double db3[6] = { + 3.326705529500826159985115891390056300129233992450683597084705e-01, + 8.068915093110925764944936040887134905192973949948236181650920e-01, + 4.598775021184915700951519421476167208081101774314923066433867e-01, + -1.350110200102545886963899066993744805622198452237811919756862e-01, + -8.544127388202666169281916918177331153619763898808662976351748e-02, + 3.522629188570953660274066471551002932775838791743161039893406e-02 +}; + + +static const double db4[8] = { + 2.303778133088965008632911830440708500016152482483092977910968e-01, + 7.148465705529156470899219552739926037076084010993081758450110e-01, + 6.308807679298589078817163383006152202032229226771951174057473e-01, + -2.798376941685985421141374718007538541198732022449175284003358e-02, + -1.870348117190930840795706727890814195845441743745800912057770e-01, + 3.084138183556076362721936253495905017031482172003403341821219e-02, + 3.288301166688519973540751354924438866454194113754971259727278e-02, + -1.059740178506903210488320852402722918109996490637641983484974e-02 +}; + + +static const double db5[10] = { + 1.601023979741929144807237480204207336505441246250578327725699e-01, + 6.038292697971896705401193065250621075074221631016986987969283e-01, + 7.243085284377729277280712441022186407687562182320073725767335e-01, + 1.384281459013207315053971463390246973141057911739561022694652e-01, + -2.422948870663820318625713794746163619914908080626185983913726e-01, + -3.224486958463837464847975506213492831356498416379847225434268e-02, + 7.757149384004571352313048938860181980623099452012527983210146e-02, + -6.241490212798274274190519112920192970763557165687607323417435e-03, + -1.258075199908199946850973993177579294920459162609785020169232e-02, + 3.335725285473771277998183415817355747636524742305315099706428e-03 +}; + + +static const double db6[12] = { + 1.115407433501094636213239172409234390425395919844216759082360e-01, + 4.946238903984530856772041768778555886377863828962743623531834e-01, + 7.511339080210953506789344984397316855802547833382612009730420e-01, + 3.152503517091976290859896548109263966495199235172945244404163e-01, + -2.262646939654398200763145006609034656705401539728969940143487e-01, + -1.297668675672619355622896058765854608452337492235814701599310e-01, + 9.750160558732304910234355253812534233983074749525514279893193e-02, + 2.752286553030572862554083950419321365738758783043454321494202e-02, + -3.158203931748602956507908069984866905747953237314842337511464e-02, + 5.538422011614961392519183980465012206110262773864964295476524e-04, + 4.777257510945510639635975246820707050230501216581434297593254e-03, + -1.077301085308479564852621609587200035235233609334419689818580e-03 +}; + + +static const double db7[14] = { + 7.785205408500917901996352195789374837918305292795568438702937e-02, + 3.965393194819173065390003909368428563587151149333287401110499e-01, + 7.291320908462351199169430703392820517179660611901363782697715e-01, + 4.697822874051931224715911609744517386817913056787359532392529e-01, + -1.439060039285649754050683622130460017952735705499084834401753e-01, + -2.240361849938749826381404202332509644757830896773246552665095e-01, + 7.130921926683026475087657050112904822711327451412314659575113e-02, + 8.061260915108307191292248035938190585823820965629489058139218e-02, + -3.802993693501441357959206160185803585446196938467869898283122e-02, + -1.657454163066688065410767489170265479204504394820713705239272e-02, + 1.255099855609984061298988603418777957289474046048710038411818e-02, + 4.295779729213665211321291228197322228235350396942409742946366e-04, + -1.801640704047490915268262912739550962585651469641090625323864e-03, + 3.537137999745202484462958363064254310959060059520040012524275e-04 +}; + +static const double db8[16] = { + 5.441584224310400995500940520299935503599554294733050397729280e-02, + 3.128715909142999706591623755057177219497319740370229185698712e-01, + 6.756307362972898068078007670471831499869115906336364227766759e-01, + 5.853546836542067127712655200450981944303266678053369055707175e-01, + -1.582910525634930566738054787646630415774471154502826559735335e-02, + -2.840155429615469265162031323741647324684350124871451793599204e-01, + 4.724845739132827703605900098258949861948011288770074644084096e-04, + 1.287474266204784588570292875097083843022601575556488795577000e-01, + -1.736930100180754616961614886809598311413086529488394316977315e-02, + -4.408825393079475150676372323896350189751839190110996472750391e-02, + 1.398102791739828164872293057263345144239559532934347169146368e-02, + 8.746094047405776716382743246475640180402147081140676742686747e-03, + -4.870352993451574310422181557109824016634978512157003764736208e-03, + -3.917403733769470462980803573237762675229350073890493724492694e-04, + 6.754494064505693663695475738792991218489630013558432103617077e-04, + -1.174767841247695337306282316988909444086693950311503927620013e-04 +}; + + +static const double db9[18] = { + 3.807794736387834658869765887955118448771714496278417476647192e-02, + 2.438346746125903537320415816492844155263611085609231361429088e-01, + 6.048231236901111119030768674342361708959562711896117565333713e-01, + 6.572880780513005380782126390451732140305858669245918854436034e-01, + 1.331973858250075761909549458997955536921780768433661136154346e-01, + -2.932737832791749088064031952421987310438961628589906825725112e-01, + -9.684078322297646051350813353769660224825458104599099679471267e-02, + 1.485407493381063801350727175060423024791258577280603060771649e-01, + 3.072568147933337921231740072037882714105805024670744781503060e-02, + -6.763282906132997367564227482971901592578790871353739900748331e-02, + 2.509471148314519575871897499885543315176271993709633321834164e-04, + 2.236166212367909720537378270269095241855646688308853754721816e-02, + -4.723204757751397277925707848242465405729514912627938018758526e-03, + -4.281503682463429834496795002314531876481181811463288374860455e-03, + 1.847646883056226476619129491125677051121081359600318160732515e-03, + 2.303857635231959672052163928245421692940662052463711972260006e-04, + -2.519631889427101369749886842878606607282181543478028214134265e-04, + 3.934732031627159948068988306589150707782477055517013507359938e-05 +}; + + +static const double db10[20] = { + 2.667005790055555358661744877130858277192498290851289932779975e-02, + 1.881768000776914890208929736790939942702546758640393484348595e-01, + 5.272011889317255864817448279595081924981402680840223445318549e-01, + 6.884590394536035657418717825492358539771364042407339537279681e-01, + 2.811723436605774607487269984455892876243888859026150413831543e-01, + -2.498464243273153794161018979207791000564669737132073715013121e-01, + -1.959462743773770435042992543190981318766776476382778474396781e-01, + 1.273693403357932600826772332014009770786177480422245995563097e-01, + 9.305736460357235116035228983545273226942917998946925868063974e-02, + -7.139414716639708714533609307605064767292611983702150917523756e-02, + -2.945753682187581285828323760141839199388200516064948779769654e-02, + 3.321267405934100173976365318215912897978337413267096043323351e-02, + 3.606553566956169655423291417133403299517350518618994762730612e-03, + -1.073317548333057504431811410651364448111548781143923213370333e-02, + 1.395351747052901165789318447957707567660542855688552426721117e-03, + 1.992405295185056117158742242640643211762555365514105280067936e-03, + -6.858566949597116265613709819265714196625043336786920516211903e-04, + -1.164668551292854509514809710258991891527461854347597362819235e-04, + 9.358867032006959133405013034222854399688456215297276443521873e-05, + -1.326420289452124481243667531226683305749240960605829756400674e-05 +}; + +static const double db11[22] = { + 1.869429776147108402543572939561975728967774455921958543286692e-02, + 1.440670211506245127951915849361001143023718967556239604318852e-01, + 4.498997643560453347688940373853603677806895378648933474599655e-01, + 6.856867749162005111209386316963097935940204964567703495051589e-01, + 4.119643689479074629259396485710667307430400410187845315697242e-01, + -1.622752450274903622405827269985511540744264324212130209649667e-01, + -2.742308468179469612021009452835266628648089521775178221905778e-01, + 6.604358819668319190061457888126302656753142168940791541113457e-02, + 1.498120124663784964066562617044193298588272420267484653796909e-01, + -4.647995511668418727161722589023744577223260966848260747450320e-02, + -6.643878569502520527899215536971203191819566896079739622858574e-02, + 3.133509021904607603094798408303144536358105680880031964936445e-02, + 2.084090436018106302294811255656491015157761832734715691126692e-02, + -1.536482090620159942619811609958822744014326495773000120205848e-02, + -3.340858873014445606090808617982406101930658359499190845656731e-03, + 4.928417656059041123170739741708273690285547729915802418397458e-03, + -3.085928588151431651754590726278953307180216605078488581921562e-04, + -8.930232506662646133900824622648653989879519878620728793133358e-04, + 2.491525235528234988712216872666801088221199302855425381971392e-04, + 5.443907469936847167357856879576832191936678525600793978043688e-05, + -3.463498418698499554128085159974043214506488048233458035943601e-05, + 4.494274277236510095415648282310130916410497987383753460571741e-06 +}; + +static const double db12[24] = { + 1.311225795722951750674609088893328065665510641931325007748280e-02, + 1.095662728211851546057045050248905426075680503066774046383657e-01, + 3.773551352142126570928212604879206149010941706057526334705839e-01, + 6.571987225793070893027611286641169834250203289988412141394281e-01, + 5.158864784278156087560326480543032700677693087036090056127647e-01, + -4.476388565377462666762747311540166529284543631505924139071704e-02, + -3.161784537527855368648029353478031098508839032547364389574203e-01, + -2.377925725606972768399754609133225784553366558331741152482612e-02, + 1.824786059275796798540436116189241710294771448096302698329011e-01, + 5.359569674352150328276276729768332288862665184192705821636342e-03, + -9.643212009650708202650320534322484127430880143045220514346402e-02, + 1.084913025582218438089010237748152188661630567603334659322512e-02, + 4.154627749508444073927094681906574864513532221388374861287078e-02, + -1.221864906974828071998798266471567712982466093116558175344811e-02, + -1.284082519830068329466034471894728496206109832314097633275225e-02, + 6.711499008795509177767027068215672450648112185856456740379455e-03, + 2.248607240995237599950865211267234018343199786146177099262010e-03, + -2.179503618627760471598903379584171187840075291860571264980942e-03, + 6.545128212509595566500430399327110729111770568897356630714552e-06, + 3.886530628209314435897288837795981791917488573420177523436096e-04, + -8.850410920820432420821645961553726598738322151471932808015443e-05, + -2.424154575703078402978915320531719580423778362664282239377532e-05, + 1.277695221937976658714046362616620887375960941439428756055353e-05, + -1.529071758068510902712239164522901223197615439660340672602696e-06 +}; + +static const double db13[26] = { + 9.202133538962367972970163475644184667534171916416562386009703e-03, + 8.286124387290277964432027131230466405208113332890135072514277e-02, + 3.119963221604380633960784112214049693946683528967180317160390e-01, + 6.110558511587876528211995136744180562073612676018239438526582e-01, + 5.888895704312189080710395347395333927665986382812836042235573e-01, + 8.698572617964723731023739838087494399231884076619701250882016e-02, + -3.149729077113886329981698255932282582876888450678789025950306e-01, + -1.245767307508152589413808336021260180792739295173634719572069e-01, + 1.794760794293398432348450072339369013581966256244133393042881e-01, + 7.294893365677716380902830610477661983325929026879873553627963e-02, + -1.058076181879343264509667304196464849478860754801236658232360e-01, + -2.648840647534369463963912248034785726419604844297697016264224e-02, + 5.613947710028342886214501998387331119988378792543100244737056e-02, + 2.379972254059078811465170958554208358094394612051934868475139e-03, + -2.383142071032364903206403067757739134252922717636226274077298e-02, + 3.923941448797416243316370220815526558824746623451404043918407e-03, + 7.255589401617566194518393300502698898973529679646683695269828e-03, + -2.761911234656862178014576266098445995350093330501818024966316e-03, + -1.315673911892298936613835370593643376060412592653652307238124e-03, + 9.323261308672633862226517802548514100918088299801952307991569e-04, + 4.925152512628946192140957387866596210103778299388823500840094e-05, + -1.651289885565054894616687709238000755898548214659776703347801e-04, + 3.067853757932549346649483228575476236600428217237900563128230e-05, + 1.044193057140813708170714991080596951670706436217328169641474e-05, + -4.700416479360868325650195165061771321650383582970958556568059e-06, + 5.220035098454864691736424354843176976747052155243557001531901e-07 +}; + +static const double db14[28] = { + 6.461153460087947818166397448622814272327159419201199218101404e-03, + 6.236475884939889832798566758434877428305333693407667164602518e-02, + 2.548502677926213536659077886778286686187042416367137443780084e-01, + 5.543056179408938359926831449851154844078269830951634609683997e-01, + 6.311878491048567795576617135358172348623952456570017289788809e-01, + 2.186706877589065214917475918217517051765774321270432059030273e-01, + -2.716885522787480414142192476181171094604882465683330814311896e-01, + -2.180335299932760447555558812702311911975240669470604752747127e-01, + 1.383952138648065910739939690021573713989900463229686119059119e-01, + 1.399890165844607012492943162271163440328221555614326181333683e-01, + -8.674841156816968904560822066727795382979149539517503657492964e-02, + -7.154895550404613073584145115173807990958069673129538099990913e-02, + 5.523712625921604411618834060533403397913833632511672157671107e-02, + 2.698140830791291697399031403215193343375766595807274233284349e-02, + -3.018535154039063518714822623489137573781575406658652624883756e-02, + -5.615049530356959133218371367691498637457297203925810387698680e-03, + 1.278949326633340896157330705784079299374903861572058313481534e-02, + -7.462189892683849371817160739181780971958187988813302900435487e-04, + -3.849638868022187445786349316095551774096818508285700493058915e-03, + 1.061691085606761843032566749388411173033941582147830863893939e-03, + 7.080211542355278586442977697617128983471863464181595371670094e-04, + -3.868319473129544821076663398057314427328902107842165379901468e-04, + -4.177724577037259735267979539839258928389726590132730131054323e-05, + 6.875504252697509603873437021628031601890370687651875279882727e-05, + -1.033720918457077394661407342594814586269272509490744850691443e-05, + -4.389704901781394115254042561367169829323085360800825718151049e-06, + 1.724994675367812769885712692741798523587894709867356576910717e-06, + -1.787139968311359076334192938470839343882990309976959446994022e-07 +}; + +static const double db15[30] = { + 4.538537361578898881459394910211696346663671243788786997916513e-03, + 4.674339489276627189170969334843575776579151700214943513113197e-02, + 2.060238639869957315398915009476307219306138505641930902702047e-01, + 4.926317717081396236067757074029946372617221565130932402160160e-01, + 6.458131403574243581764209120106917996432608287494046181071489e-01, + 3.390025354547315276912641143835773918756769491793554669336690e-01, + -1.932041396091454287063990534321471746304090039142863827937754e-01, + -2.888825965669656462484125009822332981311435630435342594971292e-01, + 6.528295284877281692283107919869574882039174285596144125965101e-02, + 1.901467140071229823484893116586020517959501258174336696878156e-01, + -3.966617655579094448384366751896200668381742820683736805449745e-02, + -1.111209360372316933656710324674058608858623762165914120505657e-01, + 3.387714392350768620854817844433523770864744687411265369463195e-02, + 5.478055058450761268913790312581879108609415997422768564244845e-02, + -2.576700732843996258594525754269826392203641634825340138396836e-02, + -2.081005016969308167788483424677000162054657951364899040996166e-02, + 1.508391802783590236329274460170322736244892823305627716233968e-02, + 5.101000360407543169708860185565314724801066527344222055526631e-03, + -6.487734560315744995181683149218690816955845639388826407928967e-03, + -2.417564907616242811667225326300179605229946995814535223329411e-04, + 1.943323980382211541764912332541087441011424865579531401452302e-03, + -3.734823541376169920098094213645414611387630968030256625740226e-04, + -3.595652443624688121649620075909808858194202454084090305627480e-04, + 1.558964899205997479471658241227108816255567059625495915228603e-04, + 2.579269915531893680925862417616855912944042368767340709160119e-05, + -2.813329626604781364755324777078478665791443876293788904267255e-05, + 3.362987181737579803124845210420177472134846655864078187186304e-06, + 1.811270407940577083768510912285841160577085925337507850590290e-06, + -6.316882325881664421201597299517657654166137915121195510416641e-07, + 6.133359913305752029056299460289788601989190450885396512173845e-08 +}; + +static const double db16[32] = { + 3.189220925347738029769547564645958687067086750131428767875878e-03, + 3.490771432367334641030147224023020009218241430503984146140054e-02, + 1.650642834888531178991252730561134811584835002342723240213592e-01, + 4.303127228460038137403925424357684620633970478036986773924646e-01, + 6.373563320837888986319852412996030536498595940814198125967751e-01, + 4.402902568863569000390869163571679288527803035135272578789884e-01, + -8.975108940248964285718718077442597430659247445582660149624718e-02, + -3.270633105279177046462905675689119641757228918228812428141723e-01, + -2.791820813302827668264519595026873204339971219174736041535479e-02, + 2.111906939471042887209680163268837900928491426167679439251042e-01, + 2.734026375271604136485245757201617965429027819507130220231500e-02, + -1.323883055638103904500474147756493375092287817706027978798549e-01, + -6.239722752474871765674503394120025865444656311678760990761458e-03, + 7.592423604427631582148498743941422461530405946100943351940313e-02, + -7.588974368857737638494890864636995796586975144990925400097160e-03, + -3.688839769173014233352666320894554314718748429706730831064068e-02, + 1.029765964095596941165000580076616900528856265803662208854147e-02, + 1.399376885982873102950451873670329726409840291727868988490100e-02, + -6.990014563413916670284249536517288338057856199646469078115759e-03, + -3.644279621498389932169000540933629387055333973353108668841215e-03, + 3.128023381206268831661202559854678767821471906193608117450360e-03, + 4.078969808497128362417470323406095782431952972310546715071397e-04, + -9.410217493595675889266453953635875407754747216734480509250273e-04, + 1.142415200387223926440228099555662945839684344936472652877091e-04, + 1.747872452253381803801758637660746874986024728615399897971953e-04, + -6.103596621410935835162369150522212811957259981965919143961722e-05, + -1.394566898820889345199078311998401982325273569198675335408707e-05, + 1.133660866127625858758848762886536997519471068203753661757843e-05, + -1.043571342311606501525454737262615404887478930635676471546032e-06, + -7.363656785451205512099695719725563646585445545841663327433569e-07, + 2.308784086857545866405412732942006121306306735866655525372544e-07, + -2.109339630100743097000572623603489906836297584591605307745349e-08 +}; + +static const double db17[34] = { + 2.241807001037312853535962677074436914062191880560370733250531e-03, + 2.598539370360604338914864591720788315473944524878241294399948e-02, + 1.312149033078244065775506231859069960144293609259978530067004e-01, + 3.703507241526411504492548190721886449477078876896803823650425e-01, + 6.109966156846228181886678867679372082737093893358726291371783e-01, + 5.183157640569378393254538528085968046216817197718416402439904e-01, + 2.731497040329363500431250719147586480350469818964563003672942e-02, + -3.283207483639617360909665340725061767581597698151558024679130e-01, + -1.265997522158827028744679110933825505053966260104086162103728e-01, + 1.973105895650109927854047044781930142551422414135646917122284e-01, + 1.011354891774702721509699856433434802196622545499664876109437e-01, + -1.268156917782863110948571128662331680384792185915017065732137e-01, + -5.709141963167692728911239478651382324161160869845347053990144e-02, + 8.110598665416088507965885748555429201024364190954499194020678e-02, + 2.231233617810379595339136059534813756232242114093689244020869e-02, + -4.692243838926973733300897059211400507138768125498030602878439e-02, + -3.270955535819293781655360222177494452069525958061609392809275e-03, + 2.273367658394627031845616244788448969906713741338339498024864e-02, + -3.042989981354637068592482637907206078633395457225096588287881e-03, + -8.602921520322854831713706413243659917926736284271730611920986e-03, + 2.967996691526094872806485060008038269959463846548378995044195e-03, + 2.301205242153545624302059869038423604241976680189447476064764e-03, + -1.436845304802976126222890402980384903503674530729935809561434e-03, + -3.281325194098379713954444017520115075812402442728749700195651e-04, + 4.394654277686436778385677527317841632289249319738892179465910e-04, + -2.561010956654845882729891210949920221664082061531909655178413e-05, + -8.204803202453391839095482576282189866136273049636764338689593e-05, + 2.318681379874595084482068205706277572106695174091895338530734e-05, + 6.990600985076751273204549700855378627762758585902057964027481e-06, + -4.505942477222988194102268206378312129713572600716499944918416e-06, + 3.016549609994557415605207594879939763476168705217646897702706e-07, + 2.957700933316856754979905258816151367870345628924317307354639e-07, + -8.423948446002680178787071296922877068410310942222799622593133e-08, + 7.267492968561608110879767441409035034158581719789791088892046e-09 +}; + +static const double db18[36] = { + 1.576310218440760431540744929939777747670753710991660363684429e-03, + 1.928853172414637705921391715829052419954667025288497572236714e-02, + 1.035884658224235962241910491937253596470696555220241672976224e-01, + 3.146789413370316990571998255652579931786706190489374509491307e-01, + 5.718268077666072234818589370900623419393673743130930561295324e-01, + 5.718016548886513352891119994065965025668047882818525060759395e-01, + 1.472231119699281415750977271081072312557864107355701387801677e-01, + -2.936540407365587442479030994981150723935710729035053239661752e-01, + -2.164809340051429711237678625668271471437937235669492408388692e-01, + 1.495339755653777893509301738913667208804816691893765610261943e-01, + 1.670813127632574045149318139950134745324205646353988083152250e-01, + -9.233188415084628060429372558659459731431848000144569612074508e-02, + -1.067522466598284855932200581614984861385266404624112083917702e-01, + 6.488721621190544281947577955141911463129382116634147846137149e-02, + 5.705124773853688412090768846499622260596226120431038524600676e-02, + -4.452614190298232471556143559744653492971477891439833592755034e-02, + -2.373321039586000103275209582665216110197519330713490233071565e-02, + 2.667070592647059029987908631672020343207895999936072813363471e-02, + 6.262167954305707485236093144497882501990325204745013190268052e-03, + -1.305148094661200177277636447600807169755191054507571666606133e-02, + 1.186300338581174657301741592161819084544899417452317405185615e-04, + 4.943343605466738130665529516802974834299638313366477765295203e-03, + -1.118732666992497072800658855238650182318060482584970145512687e-03, + -1.340596298336106629517567228251583609823044524685986640323942e-03, + 6.284656829651457125619449885420838217551022796301582874349652e-04, + 2.135815619103406884039052814341926025873200325996466522543440e-04, + -1.986485523117479485798245416362489554927797880264017876139605e-04, + -1.535917123534724675069770335876717193700472427021513236587288e-07, + 3.741237880740038181092208138035393952304292615793985030731363e-05, + -8.520602537446695203919254911655523022437596956226376512305917e-06, + -3.332634478885821888782452033341036827311505907796498439829337e-06, + 1.768712983627615455876328730755375176412501359114058815453100e-06, + -7.691632689885176146000152878539598405817397588156525116769908e-08, + -1.176098767028231698450982356561292561347579777695396953528141e-07, + 3.068835863045174800935478294933975372450179787894574492930570e-08, + -2.507934454948598267195173183147126731806317144868275819941403e-09 +}; + +static const double db19[38] = { + 1.108669763181710571099154195209715164245299677773435932135455e-03, + 1.428109845076439737439889152950199234745663442163665957870715e-02, + 8.127811326545955065296306784901624839844979971028620366497726e-02, + 2.643884317408967846748100380289426873862377807211920718417385e-01, + 5.244363774646549153360575975484064626044633641048072116393160e-01, + 6.017045491275378948867077135921802620536565639585963293313931e-01, + 2.608949526510388292872456675310528324172673101301907739925213e-01, + -2.280913942154826463746325776054637207093787237086425909534822e-01, + -2.858386317558262418545975695028984237217356095588335149922119e-01, + 7.465226970810326636763433111878819005865866149731909656365399e-02, + 2.123497433062784888090608567059824197077074200878839448416908e-01, + -3.351854190230287868169388418785731506977845075238966819814032e-02, + -1.427856950387365749779602731626112812998497706152428508627562e-01, + 2.758435062562866875014743520162198655374474596963423080762818e-02, + 8.690675555581223248847645428808443034785208002468192759640352e-02, + -2.650123625012304089901835843676387361075068017686747808171345e-02, + -4.567422627723090805645444214295796017938935732115630050880109e-02, + 2.162376740958504713032984257172372354318097067858752542571020e-02, + 1.937554988917612764637094354457999814496885095875825546406963e-02, + -1.398838867853514163250401235248662521916813867453095836808366e-02, + -5.866922281012174726584493436054373773814608340808758177372765e-03, + 7.040747367105243153014511207400620109401689897665383078229398e-03, + 7.689543592575483559749139148673955163477947086039406129546422e-04, + -2.687551800701582003957363855070398636534038920982478290170267e-03, + 3.418086534585957765651657290463808135214214848819517257794031e-04, + 7.358025205054352070260481905397281875183175792779904858189494e-04, + -2.606761356786280057318315130897522790383939362073563408613547e-04, + -1.246007917341587753449784408901653990317341413341980904757592e-04, + 8.711270467219922965416862388191128268412933893282083517729443e-05, + 5.105950487073886053049222809934231573687367992106282669389264e-06, + -1.664017629715494454620677719899198630333675608812018108739144e-05, + 3.010964316296526339695334454725943632645798938162427168851382e-06, + 1.531931476691193063931832381086636031203123032723477463624141e-06, + -6.862755657769142701883554613486732854452740752771392411758418e-07, + 1.447088298797844542078219863291615420551673574071367834316167e-08, + 4.636937775782604223430857728210948898871748291085962296649320e-08, + -1.116402067035825816390504769142472586464975799284473682246076e-08, + 8.666848838997619350323013540782124627289742190273059319122840e-10 +}; + +static const double db20[40] = { + 7.799536136668463215861994818889370970510722039232863880031127e-04, + 1.054939462495039832454480973015641498231961468733236691299796e-02, + 6.342378045908151497587346582668785136406523315729666353643372e-02, + 2.199421135513970450080335972537209392121306761010882209298252e-01, + 4.726961853109016963710241465101446230757804141171727845834637e-01, + 6.104932389385938201631515660084201906858628924695448898824748e-01, + 3.615022987393310629195602665268631744967084723079677894136358e-01, + -1.392120880114838725806970545155530518264944915437808314813582e-01, + -3.267868004340349674031122837905370666716645587480021744425550e-01, + -1.672708830907700757517174997304297054003744303620479394006890e-02, + 2.282910508199163229728429126648223086437547237250290835639880e-01, + 3.985024645777120219790581076522174181104027576954427684456660e-02, + -1.554587507072679559315307870562464374359996091752285157077477e-01, + -2.471682733861358401587992299169922262915151413349313513685587e-02, + 1.022917191744425578861013681016866083888381385233081516583444e-01, + 5.632246857307435506953246988215209861566800664402785938591145e-03, + -6.172289962468045973318658334083283558209278762007041823250642e-02, + 5.874681811811826491300679742081997167209743446956901841959711e-03, + 3.229429953076958175885440860617219117564558605035979601073235e-02, + -8.789324923901561348753650366700695916503030939283830968151332e-03, + -1.381052613715192007819606423860356590496904285724730356602106e-02, + 6.721627302259456835336850521405425560520025237915708362002910e-03, + 4.420542387045790963058229526673514088808999478115581153468068e-03, + -3.581494259609622777556169638358238375765194248623891034940330e-03, + -8.315621728225569192482585199373230956924484221135739973390038e-04, + 1.392559619323136323905254999347967283760544147397530531142397e-03, + -5.349759843997695051759716377213680036185796059087353172073952e-05, + -3.851047486992176060650288501475716463266233035937022303649838e-04, + 1.015328897367029050797488785306056522529979267572003990901472e-04, + 6.774280828377729558011184406727978221295796652200819839464354e-05, + -3.710586183394712864227221271216408416958225264980612822617745e-05, + -4.376143862183996810373095822528607606900620592585762190542483e-06, + 7.241248287673620102843105877497181565468725757387007139555885e-06, + -1.011994010018886150340475413756849103197395069431085005709201e-06, + -6.847079597000556894163334787575159759109091330092963990364192e-07, + 2.633924226270001084129057791994367121555769686616747162262697e-07, + 2.014322023550512694324757845944026047904414136633776958392681e-10, + -1.814843248299695973210605258227024081458531110762083371310917e-08, + 4.056127055551832766099146230616888024627380574113178257963252e-09, + -2.998836489619319566407767078372705385732460052685621923178375e-10 +}; + + +const double db21[42] = { + 5.488225098526837086776336675992521426750673054588245523834775e-04, + 7.776639052354783754338787398088799862510779059555623704879234e-03, + 4.924777153817727491399853378340056968104483161598320693657954e-02, + 1.813596254403815156260378722764624190931951510708050516519181e-01, + 4.196879449393627730946850609089266339973601543036294871772653e-01, + 6.015060949350038975629880664020955953066542593896126705346122e-01, + 4.445904519276003403643290994523601016151342743089878478478962e-01, + -3.572291961725529045922914178005307189036762547143966578066838e-02, + -3.356640895305295094832978867114363069987575282256098351499731e-01, + -1.123970715684509813515004981340306901641824212464197973490295e-01, + 2.115645276808723923846781645238468659430862736248896128529373e-01, + 1.152332984396871041993434411681730428103160016594558944687967e-01, + -1.399404249325472249247758764839776903226503657502071670245304e-01, + -8.177594298086382887387303634193790542522570670234556157566786e-02, + 9.660039032372422070232189700372539681627783322249829842275517e-02, + 4.572340574922879239251202944731235421034828710753381191345186e-02, + -6.497750489373232063332311106008616685748929419452249544690967e-02, + -1.865385920211851534093244412008141266131208093007217139232170e-02, + 3.972683542785044175197464400756126818299918992482587866999707e-02, + 3.357756390338110842532604766376200760791669954106679933144723e-03, + -2.089205367797907948785235479746212371728219866525211135343707e-02, + 2.403470920805434762380632169785689545910525667396313550679652e-03, + 8.988824381971911875349463398395464114417817949738911101372312e-03, + -2.891334348588901247375268718015882610844675931117463495551958e-03, + -2.958374038932831280750770228215510959830170264176955719827510e-03, + 1.716607040630624138494506282569230126333308533535502799235333e-03, + 6.394185005120302146432543767052865436099994387647359452249347e-04, + -6.906711170821016507268939228893784790518270744313525548714065e-04, + -3.196406277680437193708834220804640347636984901270948088339102e-05, + 1.936646504165080615323696689856004910579777568504218782029027e-04, + -3.635520250086338309442855006186370752206331429871136596927137e-05, + -3.499665984987447953974079490046597240276268044409625722689849e-05, + 1.535482509276049283124233498646050472096482329299719141107128e-05, + 2.790330539814487046106169582691767916283793946025922387556917e-06, + -3.090017164545699197158555936852697325985864588418167982685400e-06, + 3.166095442367030556603889009833954440058545355777781782000278e-07, + 2.992136630464852794401294607536813682771292352506328096125857e-07, + -1.000400879030597332045460600516621971679363965166249211063755e-07, + -2.254014974673330131563184851456825991617915549643308754828159e-09, + 7.058033541231121859020947976903904685464512825731230495144226e-09, + -1.471954197650365265189549600816698778213247061389470277337173e-09, + 1.038805571023706553035373138760372703492942617518816122570050e-10 }; + +const double db22[44] = { + 3.862632314910982158524358900615460368877852009576899680767316e-04, + 5.721854631334539120809783403484493333555361591386208129183833e-03, + 3.806993723641108494769873046391825574447727068953448390456335e-02, + 1.483675408901114285014404448710249837385836373168215616427030e-01, + 3.677286834460374788614690818452372827430535649696462720334897e-01, + 5.784327310095244271421181831735444106385099957908657145590104e-01, + 5.079010906221639018391523325390716836568713192498711562711282e-01, + 7.372450118363015165570139016530653113725172412104955350368114e-02, + -3.127265804282961918033226222621788537078452535993545440716988e-01, + -2.005684061048870939324361244042200174132905844868237447130382e-01, + 1.640931881067664818606223226286885712554385317412228836705888e-01, + 1.799731879928913037252154295313083168387840791424988422757762e-01, + -9.711079840911470969274209179691733251456735137994201552926799e-02, + -1.317681376866834107513648518146838345477875022352088357523838e-01, + 6.807631439273221556739202147004580559367442550641388181886023e-02, + 8.455737636682607503362813659356786494357635805197410905877078e-02, + -5.136425429744413245727949984018884707909441768477091944584584e-02, + -4.653081182750671347875833607846979997825771277976548080904423e-02, + 3.697084662069802057615318892988581825637896696876361343354380e-02, + 2.058670762756536044060249710676656807281671451609632981487139e-02, + -2.348000134449318868560142854519364987363882333754753819791381e-02, + -6.213782849364658499069336123807608293122900450508440420104462e-03, + 1.256472521834337406887017835495604463815382993214296088172221e-02, + 3.001373985076435951229129255588255746904937042979316054485183e-04, + -5.455691986156717076595353163071679107868762395367234726592273e-03, + 1.044260739186025323350755659184734060807432172611689413745029e-03, + 1.827010495657279080112597436850157110235336772062961041154607e-03, + -7.706909881231196232880372722955519781655769913634565757339739e-04, + -4.237873998391800799531947768003976978197438302533528661825758e-04, + 3.286094142136787341983758471405935405823323072829619248523697e-04, + 4.345899904532003379046992625575076092823809665933575578710696e-05, + -9.405223634815760421845190098352673647881298980040512091599943e-05, + 1.137434966212593172736144274866639210339820203135670505287250e-05, + 1.737375695756189356163565074505405906859746605867772002320509e-05, + -6.166729316467578372152251668422979152169587307212708981768966e-06, + -1.565179131995160159307426993578204733378112742579926503832095e-06, + 1.295182057318877573889711232345068147800395721925682566394936e-06, + -8.779879873361286276888117046153049053917243760475816789226764e-08, + -1.283336228751754417819693932114064887075096030264748079976736e-07, + 3.761228749337362366156711648187743399164239397803629022612862e-08, + 1.680171404922988885554331183691280245962290247654438114807112e-09, + -2.729623146632976083449327361739104754443221903317745768938846e-09, + 5.335938821667489905169783227036804533253011117886586305435615e-10, + -3.602113484339554703794807810939301847299106970237814334104274e-11 }; + +const double db23[46] = { + 2.719041941282888414192673609703302357098336003920923958924757e-04, + 4.202748893183833538390034372523511472345215563611003407984701e-03, + 2.931000365788411514736204018929480427874317460676079959515131e-02, + 1.205155317839719336306053895611899089004274336891709067958035e-01, + 3.184508138528652363416527748460472152790575031409830417259640e-01, + 5.449311478735204282674240672421984387504149924834544495466793e-01, + 5.510185172419193913452724227212507720514144116478727269717859e-01, + 1.813926253638400136259098302138614937264260737638175539416540e-01, + -2.613921480306441118856795735210118413900307577511142987337375e-01, + -2.714020986078430556604069575184718123763697177381058877113471e-01, + 9.212540708241805260646030910734894258577648089100630012130261e-02, + 2.235736582420402317149513960822561717689875252792817094811874e-01, + -3.303744709428937875006612792463031409461636228731285046551636e-02, + -1.640113215318759250156057837165276039181451149292112929401186e-01, + 2.028307457564929974897286607551313323418860610791382310375731e-02, + 1.122970436181072886950734465075645977754665593869789965874572e-01, + -2.112621235622724100704783293549467048999443844657058425212982e-02, + -7.020739157490110946204219011957565343899895499962369353294028e-02, + 2.176585683449997560776882472168730165799461445156766923497545e-02, + 3.849533252256919901057154320407596073180564628069920893870768e-02, + -1.852351365015615979794689960740674782817814176166333519597796e-02, + -1.753710100303584537915846117408613551147985251726558719415169e-02, + 1.275194393152828646243157404474947115052750581861997731041018e-02, + 6.031840650024162816289878206037841640814102314209075233751820e-03, + -7.075319273706152814194039481466556204493276773483821748740018e-03, + -1.134865473356251691289337120013286756337393784110786907825400e-03, + 3.122876449818144997419144765125750522437659393621577492535411e-03, + -2.465014005163512031940473100375377210862560761576109755841161e-04, + -1.061231228886651321139357625683805642193648671030425010215075e-03, + 3.194204927099011503676530359692366990929679170022583007683112e-04, + 2.567624520078737205563856675376636092314813400664190770435450e-04, + -1.500218503490340967673163290447832236259277810659068637402668e-04, + -3.378894834120903434270962452674534330903724108906662510305045e-05, + 4.426071203109246077621875303440935335701832843654692827539837e-05, + -2.635207889249186237209225933170897825432335273771458456888097e-06, + -8.347875567854625544366043748844183086765894974439245409223337e-06, + 2.397569546840240057403739507525641239509517148980849889986407e-06, + 8.147574834779447778085443041422881439860288287528356019216814e-07, + -5.339005405209421154584783682848780965053642859373536945701365e-07, + 1.853091785633965019353699857864654181728710556702529908304185e-08, + 5.417549179539278736503176166323685597634496102979977037271945e-08, + -1.399935495437998845130909687361847103274208993447892120341999e-08, + -9.472885901812050535221582074673490573092096712822067564903012e-10, + 1.050446453696543404071105111096438573423068913105255997908040e-09, + -1.932405111313417542192651899622541612314066389643607507706887e-10, + 1.250203302351040941433216718217504240541423430995137507404787e-11 }; + +const double db24[48] = { + 1.914358009475513695026138336474115599435172088053846745168462e-04, + 3.082081714905494436206199424544404720984720556128685270556458e-03, + 2.248233994971641072358415157184825628226776692231940577581580e-02, + 9.726223583362519663806545734008355914527504417674578571164300e-02, + 2.729089160677263268706137134412557268751671263458895098625356e-01, + 5.043710408399249919771876890402814109246866444441814540282099e-01, + 5.749392210955419968460807901923407033144945935105622912839838e-01, + 2.809855532337118833442626085115402941842959475929278883281409e-01, + -1.872714068851562376981887159775791469060265778441667840307934e-01, + -3.179430789993627375453948489797707550898087789160025182664299e-01, + 4.776613684344728187950198323031360866349104994035553200788631e-03, + 2.392373887803108551973268291945824822214858134512317715815616e-01, + 4.252872964148383258147364472170645232684343235486951540533893e-02, + -1.711753513703468896897638515080572393949165942335556397917666e-01, + -3.877717357792001620177594726199572688446488033750771020190283e-02, + 1.210163034692242362312637311149062286659377039046006801523826e-01, + 2.098011370914481534980883827326017063121637262728447783605518e-02, + -8.216165420800166702291466006164189460916816748629968198028898e-02, + -4.578436241819221637997516339765068825260159169893967894877272e-03, + 5.130162003998087915555334881398688958843078494595140394873884e-02, + -4.944709428125628299815920032649550811877887219282751174798211e-03, + -2.821310709490189098113895361900699228886900995412759197674058e-02, + 7.661721881646585897329899904308764405384658404613669817843430e-03, + 1.304997087108573583052494067883717533043101857128653233783396e-02, + -6.291435370018187780721843581169343900864298634085743861509767e-03, + -4.746568786323113800477796959513558401732252800905982385017245e-03, + 3.736046178282523345179052160810332868725126356493155728625572e-03, + 1.153764936839481504858282495202271984454410046682805375157566e-03, + -1.696456818974824394274534636412116243080312601322325642741589e-03, + -4.416184856141520063365958900079406737636243682138363561877750e-05, + 5.861270593183109933716735450272894035425792347806515678695765e-04, + -1.181233237969554740613021227756568966806892308457221016257961e-04, + -1.460079817762616838924301818082729036314539476811023255670666e-04, + 6.559388639305634085303738560455061974369354538271316071502698e-05, + 2.183241460466558363365044032984257709791187640963509380549307e-05, + -2.022888292612697682860859987200455702614855595412267510558659e-05, + 1.341157750809114719319937553186023660581084151828593222893663e-08, + 3.901100338597702610409014129024223853127911530009766793352492e-06, + -8.980253143938407724149926669980791166378388013293887718404796e-07, + -4.032507756879971624098983247358983425236092110387724315244646e-07, + 2.166339653278574639176393978510246335478946697396400359281412e-07, + -5.057645419792500308492508924343248979317507866520688417567606e-10, + -2.255740388176086107368821674947175804005323153443170526520277e-08, + 5.157776789671999638950774266313208715015419699643333784626363e-09, + 4.748375824256231118094453549799175824526559994333227456737433e-10, + -4.024658644584379774251499574468195118601698713554294941756559e-10, + 6.991801157638230974132696433509625934021677793453732225542951e-11, + -4.342782503803710247259037552886749457951053124203814185811297e-12 }; + +const double db25[50] = { + 1.348029793470188994578489247159356055370460656508881471268611e-04, + 2.256959591854779520121391049628056149270016860666661928130747e-03, + 1.718674125404015533817186914954848902241194002444696221013131e-02, + 7.803586287213267559750659320481403668422052199257139168386084e-02, + 2.316935078860218199900621518057089104946216881512075361624214e-01, + 4.596834151460945937896973864539659944010260858049947396093277e-01, + 5.816368967460577833534892038757085635755639698734580573323031e-01, + 3.678850748029466984371319740855532278670733841012809062966976e-01, + -9.717464096463814276130048169040892607068486428294030952842447e-02, + -3.364730796417461309562110148848845218930261030262170601615289e-01, + -8.758761458765466140226687673880006154266689569025041229545538e-02, + 2.245378197451017129525176510409543155930843160711989062118482e-01, + 1.181552867199598604563067876819931882639429216001523151773895e-01, + -1.505602137505796309518094206831433270850173484773520730186277e-01, + -9.850861528996022153725952822686729410420350758543226219234795e-02, + 1.066338050184779528831274540522414711301747903916268438037723e-01, + 6.675216449401860666895983072443984697329752470942906490126865e-02, + -7.708411105657419356208567671699032054872853174701595359329826e-02, + -3.717396286112250887598137324046870459877639250821705817221557e-02, + 5.361790939877949960629041419546536897037332284703545849594129e-02, + 1.554260592910229163981295854603203625062268043511894295387375e-02, + -3.404232046065334099320628584033729153497903561399447916116575e-02, + -3.079836794847036661636693963570288706232460663070983852354326e-03, + 1.892280447662762841086581178691039363674755753459524525886478e-02, + -1.989425782202736494289461896386235348901617760816745484282494e-03, + -8.860702618046368399013064252456556969199612331833605310278698e-03, + 2.726936258738495739871469244610042793734119359765762028996059e-03, + 3.322707773973191780118197357194829286271392998979276105842863e-03, + -1.842484290203331280837780430014195744813667655929909114672154e-03, + -8.999774237462950491085382524008429604309720852269895692000702e-04, + 8.772581936748274843488806190175921376284150686011179612908221e-04, + 1.153212440466300456460181455345639872216326644527860903202733e-04, + -3.098800990984697989530544245356271119416614147098459162436317e-04, + 3.543714523276059005284289830559259809540337561365927850248007e-05, + 7.904640003965528255137496303166001735463107762646364003487560e-05, + -2.733048119960041746353244004225286857636045649642652816856524e-05, + -1.277195293199783804144903848434605690990373526086311486716394e-05, + 8.990661393062588905369930197413951232059323587543226269327396e-06, + 5.232827708153076417963912065899772684403904504491727061662335e-07, + -1.779201332653634562565948556039009149458987774189389221295909e-06, + 3.212037518862519094895005816661093988294166712919881121802831e-07, + 1.922806790142371601278104244711267420759978799176017569693322e-07, + -8.656941732278507163388031517930974947984281611717187862530250e-08, + -2.611598556111770864259843089151782206922842627174274274741722e-09, + 9.279224480081372372250073354726511359667401736947170444723772e-09, + -1.880415755062155537197782595740975189878162661203102565611681e-09, + -2.228474910228168899314793352064795957306403503495743572518755e-10, + 1.535901570162657197021927739530721955859277615795931442682785e-10, + -2.527625163465644811048864286169758128142169484216932624854015e-11, + 1.509692082823910867903367712096001664979004526477422347957324e-12 }; + +const double db26[52] = { + 9.493795750710592117802731381148054398461637804818126397577999e-05, + 1.650520233532988247022384885622071050555268137055829216839523e-03, + 1.309755429255850082057770240106799154079932963479202407364818e-02, + 6.227474402514960484193581705107415937690538641013309745983962e-02, + 1.950394387167700994245891508369324694703820522489789125908612e-01, + 4.132929622783563686116108686666547082846741228042232731476147e-01, + 5.736690430342222603195557147853022060758392664086633396520345e-01, + 4.391583117891662321931477565794105633815363384084590559889493e-01, + 1.774076780986685727823533562031556893226571319881417676492595e-03, + -3.263845936917800216385340830055349953447745005769416287177497e-01, + -1.748399612893925042664835683606584215248582345438816346170042e-01, + 1.812918323111226960705459766025430918716233584167982942044424e-01, + 1.827554095896723746537533832033286839689931924709760567945595e-01, + -1.043239002859270439148009137202747658420968144330108510179290e-01, + -1.479771932752544935782314546369458188243947772922980064071205e-01, + 6.982318611329236513756591683950208955110603212379412334701145e-02, + 1.064824052498086303236593797715344405836015002929319291715777e-01, + -5.344856168148319149493577269390074213960237013099439431132086e-02, + -6.865475960403591525454725258715351280947435823354011140858001e-02, + 4.223218579637203541206570902753288247790857760067894456114927e-02, + 3.853571597111186425832144567362328142994885395255438867968781e-02, + -3.137811036306775484244644776337594435094096964336402798072360e-02, + -1.776090356835818354094298625884058170354129044259951019182732e-02, + 2.073492017996382475887790073068984224515077665517103399898854e-02, + 5.829580555318887971939315747596613038479561943085291072787359e-03, + -1.178549790619302893728624468402138072504226527540325463847390e-02, + -5.287383992626814439198630765217969804966319971038003993984480e-04, + 5.601947239423804853206514239940474788977188460452053462770324e-03, + -9.390582504738289646165698675070641765810790863514339205205998e-04, + -2.145530281567620980305401403432221668847980295600748913748902e-03, + 8.383488056543616046381924054554052104937784379435436426690560e-04, + 6.161382204574344193703789012696411561214682388271673214197731e-04, + -4.319557074261807466712901913481943478521991611607433971794602e-04, + -1.060574748283803889966150803551837402553866816191659959347053e-04, + 1.574795238607493590547765666590811258087715699737771458390360e-04, + -5.277795493037868976293566636015627609248847457646525246271036e-06, + -4.109673996391477816326502438997466532822639385119090230965252e-05, + 1.074221540872195031273584409245060623104931330938273936484593e-05, + 7.000078682964986734859102495210684809643657474253921074934684e-06, + -3.887400161856795187587790410706550576033603097954065074023128e-06, + -4.650463220640262639231145944536092973446596027469833860001618e-07, + 7.939210633709952088373459255067360793370284788682979065122810e-07, + -1.079004237578671411922961583845716126060658213943840375162654e-07, + -8.904466370168590769052983362721567202750591914741016835071257e-08, + 3.407795621290730008673832107214820587991557116806912418558069e-08, + 2.169328259850323106986222296525930099935873861026310788086221e-09, + -3.776010478532324328184043667556576385639846460337894963138621e-09, + 6.780047245828636668305808192607091517605349478677442468580825e-10, + 1.002303191046526913509281844136258004034177309673269533418644e-10, + -5.840408185341171468465492447799819262905317576847426970757700e-11, + 9.130510016371796243923232926650252570239054815939483900056681e-12, + -5.251871224244435037810503452564279828539007071678724285717464e-13 }; + +const double db27[54] = { + 6.687131385431931734918880680779563307675740731544063787599480e-05, + 1.205531231673213234251999812212394463872002561229330125152073e-03, + 9.952588780876619771874091297340545740163119816300838847749336e-03, + 4.945259998290488004302995584228917712171023349013386944893643e-02, + 1.629220275023933206396286389387812803673796872000118325233533e-01, + 3.671102141253898226423388094379126394383458407087000700420400e-01, + 5.538498609904800487605460395549044755068663194750017660900436e-01, + 4.934061226779989979265447084358038959373468583404767251300717e-01, + 1.028408550618229112710739475157388764479351682549490307668477e-01, + -2.897168033145948463175311101489473923261698802610323264603418e-01, + -2.482645819032605667810198368127693701263349361209208170092197e-01, + 1.148230195177853576326445213787661879970642975306605349249036e-01, + 2.272732884141708265275037216925482827043581894357907763081103e-01, + -3.878641863180231062443346843661817078060143110529946543683356e-02, + -1.780317409590085821070366277249759321269342801053489323888575e-01, + 1.579939746024048431173907799261019471878724997312653292884660e-02, + 1.311979717171553289711406975836688896451835867594492827800969e-01, + -1.406275155580876537026622167053147161846397735962817855782362e-02, + -9.102290652956591798241345515773322449830692586525337562864481e-02, + 1.731101826549371089085675445961947677452358872325373949295769e-02, + 5.796940573471798814748840657698008349462526768238833307489106e-02, + -1.851249356199807710545837861298826718763077900221574749342712e-02, + -3.273906663102087145481936428049519742538150452785563039743756e-02, + 1.614696692239566682272152627542980896527822528487665111124260e-02, + 1.566559564892457873003263983940819950829497022298967052103291e-02, + -1.157718645897628140054089958116866381056430680879332334217267e-02, + -5.862096345462925972966025215266179082657169806555503857975278e-03, + 6.856635609684880675273184141746359000591385833807880272568038e-03, + 1.342626877303679609082208800217479591902967766971379107017011e-03, + -3.332854469520006162763300141047111065412307706449049389557931e-03, + 1.457529625931728587128588244152604734177322144376309490881599e-04, + 1.301177450244135139135787970279897042994109161268159963884641e-03, + -3.418351226915427611946547437228006377896519777431057005796358e-04, + -3.879018574101327604369144470124819695479087900682219330965466e-04, + 2.019719879690326857104208791272390315160018069955787875123234e-04, + 7.660058387068576876674274961751262847965101108848090019821555e-05, + -7.711145517797584208411720507329584053382646435270054267102827e-05, + -3.517483614907445391752737841583832374184046409747387149129674e-06, + 2.063442647736885318487206413360228908558806028468062177953960e-05, + -3.901164070638425528170558032557368703418425915665413541985623e-06, + -3.657500908187104997045760131046655906827644494899206692043298e-06, + 1.634369624725637835424610743915128591988676092276368687669255e-06, + 3.050880686251999094242671997731089918322345713516567387655763e-07, + -3.472468147394389269364673179891460601330730511237974736379548e-07, + 3.286558968055159530983261866450459360074591641809187825408848e-08, + 4.026255052866908637178682747490340533992340623231336911661711e-08, + -1.321332273990056558848617809101876846857728483295631388083263e-08, + -1.309465606856955151282041809232358209226373823424148862843577e-09, + 1.521614984778521740775073159445241799352681846880808663329946e-09, + -2.415526928011130660506395791946234018673860470542996426005750e-10, + -4.374986224293654395069947682013996351823060759948583134078918e-11, + 2.213662088067662485181472969374945928903854605356443772873438e-11, + -3.295790122476585807069953975043096139541415768606924980926275e-12, + 1.828188352882424933624530026056448539377272017834175009418822e-13 }; + +const double db28[56] = { + 4.710807775014051101066545468288837625869263629358873937759173e-05, + 8.794985159843870273564636742144073059158975665525081816488582e-04, + 7.542650377646859177160195786201116927568410621050693986450538e-03, + 3.909260811540534426092083794403768111329778710541126982205076e-02, + 1.351379142536410450770749411679708279921694061092200363031937e-01, + 3.225633612855224257318486139030596702170126503618082416187649e-01, + 5.249982316303355562348293243640252929543774162151269406404636e-01, + 5.305162934414858075256978195354516449402692654391295761050628e-01, + 2.001761440459844380384404537971725815970574972480152145882083e-01, + -2.304989540475825257279397658067038304888129374484095837624889e-01, + -3.013278095326417816909366061441334075444383937588485826752087e-01, + 3.285787916338710468450547883547348694255260871071954509422161e-02, + 2.458081513737595535752949960866466132239832334168533456626848e-01, + 3.690688531571127205290633425993077868843846977265847006108551e-02, + -1.828773307329849166920408764650763092868965221608724574218473e-01, + -4.683823374455167616514752420549419665215987106243491879971921e-02, + 1.346275679102260877490923315484152662987698625205479167761416e-01, + 3.447863127509970524678534595639646616244376966117385829345554e-02, + -9.768535580565244174963692133038973587005628990493154911133358e-02, + -1.734192283130589908795581592406238282930530566316914040035812e-02, + 6.774789550190933956165341752699717255041141690153626336867769e-02, + 3.448018955540951137600471926079622335842207388713342609755316e-03, + -4.333336861608628393863254980828284403766309203453808666888800e-02, + 4.431732910062988320487418656322338284504389482966303454010563e-03, + 2.468806001015186586264188361362046240243934625858343309818244e-02, + -6.815549764552309639259447104811254179605050667281644254737890e-03, + -1.206359196821849005842466619530619474644989878503490321948471e-02, + 5.838816627748944864497370576838809711476027837762897602935327e-03, + 4.784863112454241718009916669120329848973107781600157214960003e-03, + -3.725461247074254799171427871442937099025589672466088044410521e-03, + -1.360373845639692436577650137133777929659265166644839235882291e-03, + 1.875998668202795626152766912508562385106168761893900192731562e-03, + 1.415672393140464257573780581396205840941849282748250523509874e-04, + -7.486749559114629991320679819683227355746847370960399216568306e-04, + 1.154656063658921251969297916771881248142872975490882572741198e-04, + 2.295790982233456202366621544054366855729175050420515776344878e-04, + -8.903901490044488099517361247378396756893227855233897357882978e-05, + -4.907713416190250858324783990436748073854807494400738311968278e-05, + 3.641401211050802781223450761733180188911730291497201507086247e-05, + 4.638664981394294654002871426476885751050837817671843706915388e-06, + -1.004326041333422601781848560432120920634648692782357855473103e-05, + 1.247900317574834146052381692752796047052443265982232422642017e-06, + 1.840363734517769191684379309039277810350620305330900536404818e-06, + -6.670215479954892588747450458085225880096882699397256774967304e-07, + -1.757461173209842779903676264971918635870906983281392939812547e-07, + 1.490660013535362170989340065033061951960933954388633507264360e-07, + -8.262387315626556965966429243600984899650039704831080988658278e-09, + -1.784138690875710077191713941441263246560738410213624546116655e-08, + 5.044047056383436444631252840057862002264087720676808580373667e-09, + 6.944540328946226952976704718677697525410051405055662575530111e-10, + -6.077041247229010224760245305596307803830053533836849384680534e-10, + 8.492220011056382105461206077240377024404404638947591299761197e-11, + 1.867367263783390418963879146175452376940453585791428841004699e-11, + -8.365490471258800799349289794397908900767054085216008197372193e-12, + 1.188850533405901520842321749021089497203940688882364518455403e-12, + -6.367772354714857335632692092267254266368934590973693820942617e-14 }; + +const double db29[58] = { + 3.318966279841524761813546359818075441349169975922439988843475e-05, + 6.409516803044434540833706729120596322083061716935004987374676e-04, + 5.702126517773375434760843998623507494914551464968126455168657e-03, + 3.077358022140837676716707336516751814713312018344719150923618e-02, + 1.113701169517405304762186166370327770191325772342190715118617e-01, + 2.806534559709829376968881262770480606500920092398534229615289e-01, + 4.897588047621993143592705932993573539235839610055331620240518e-01, + 5.513744327583751951223746071670135992466984391233429663886536e-01, + 2.891052383358291634605691113586264061513180158354460952469246e-01, + -1.540287344599000542466293779503370141731339982919280951230240e-01, + -3.300409489175880520295083779487012611959310539629627124613719e-01, + -5.570680007294085781514541931715795784309410235726214400350351e-02, + 2.361052361530259415983110734054626770649468357328362426830433e-01, + 1.124191748731883764769740670535880543076817816861518667898467e-01, + -1.608779885941877360771615465531852333085159940159968393590303e-01, + -1.078459499387214201077881957354707913786241153934264316589273e-01, + 1.144722958938182579734135930060053286267822797640393386903440e-01, + 8.322074716244975790297348835032537357891920536002627784941129e-02, + -8.512549261563550232832311331420804581881235448862834507281486e-02, + -5.502748952532572320924541450626650067707344725344841099873446e-02, + 6.347916458421186633577789314698972361081611994794140119302163e-02, + 3.053154327270413646637328212093941030592133225231728964047047e-02, + -4.518798127778834515979704475304405691390090327474972089790857e-02, + -1.291714255426679462966473962555410660387671182428076570686472e-02, + 2.947043187174764111028122319949903667638786379520519899154373e-02, + 2.648327307678167915542397563479749119673768286990136051577167e-03, + -1.704122457360668969234196743407615179099529206118693044741086e-02, + 1.737880332720511164430027824345354801611373419264590068097416e-03, + 8.469725493560752287772961661104710791306496373354237126998903e-03, + -2.550807127789472659145072247724735637183590942511858255354005e-03, + -3.473798989681100630649790255076233970957721666820195620598374e-03, + 1.877120925723650133179338154344873477230567340668548016358682e-03, + 1.087053942226062966738944397844498417945523630053411148182206e-03, + -1.000778327085680541055696707760062870925897014530348262794137e-03, + -2.000711363076779808296301110796026470163110202848894744316755e-04, + 4.111283454742767033424740543004041500054889660665367490129376e-04, + -2.292018041214499897382298271438084577065170236103859181134525e-05, + -1.293044840080720609161466939678226852440475312744714379499074e-04, + 3.645026068562774967665464216602750761690984830805534178557146e-05, + 2.913344750169041218495787251929571015775436967652945386217480e-05, + -1.657328395306616289863396387854880512976861409870690029695161e-05, + -3.593644804025187638066915189731950450034629392522542962477168e-06, + 4.750609246452552850197117564759363194953518317428400241629683e-06, + -3.029054592052818286474228294307141792053791695855058563299597e-07, + -8.975701750636280734511651941681818767895052287332471537510510e-07, + 2.633898386997696553900967704111473475368019612368922599394214e-07, + 9.387197411095863026484410601284876812292554863800653292318725e-08, + -6.286156922010786166768503252870590953166867739448102804392389e-08, + 1.076591906619196137385201975028785139607670319821266803566785e-09, + 7.768978854770062238895964639391324551611701293594055935346266e-09, + -1.893995386171984147774611076618946011337498790609031626697228e-09, + -3.426800863263089001811012278889864200550342566386405676893537e-10, + 2.407099453509342962399811991929330725186626582891090462239366e-10, + -2.940589250764532582888473974638273664244682541297835986306504e-11, + -7.832509733627817032356556582819494794884131433810848844709881e-12, + 3.152762413370310423797539876893861621418382024668704492620948e-12, + -4.285654870068344101898185073376307686875386259541180967347399e-13, + 2.219191311588302960934661700068023727737812918006011019184982e-14 }; + +const double db30[60] = { + 2.338616172731421471474407279894891960011661146356580425400538e-05, + 4.666379504285509336662000111055365140848987563882199035322085e-04, + 4.300797165048069510045016757402827408493482974782286966500398e-03, + 2.413083267158837895194919987958311943976725005113561262334092e-02, + 9.123830406701570679321575555085899708564500191080751595642650e-02, + 2.420206709402140994467599658342919512318194032687898436229538e-01, + 4.504878218533178366981351802898336415314944375740699506554771e-01, + 5.575722329128364304078082520999850413492571645754785374629734e-01, + 3.662426833716279793144871151369089533016299234992584741629624e-01, + -6.618367077593731501909741041813726474911212544474895441395148e-02, + -3.329669750208556069196849320598850505877494561268613506392514e-01, + -1.419685133300829310219026267403758254954270602825020111483505e-01, + 1.994621215806643032428990062111230223523226088131364328774921e-01, + 1.778298732448367361280250921330425046260289700971176750362566e-01, + -1.145582194327077814891518778613672243404957549114393749173137e-01, + -1.572368179599938126878197378886501553251711910617673398124611e-01, + 7.277865897036442699893544326605244235248713804556715604416632e-02, + 1.227477460450093778691578797698150091624353365248212907325446e-01, + -5.380646545825707676022015051837304300338645984615639237930800e-02, + -8.765869003638366048026572053699028353846982304851342479893827e-02, + 4.380166467141773250305407710250135373016604593736480428415303e-02, + 5.671236574473569492590636983030617493807140224924978946302257e-02, + -3.567339749675960965780819743176056734137251336781389369397564e-02, + -3.226375891935220815954913483392725682165778426411705216010280e-02, + 2.707861959529418272206848318420006522973840949600186710327776e-02, + 1.528796076985739546052896626042375110302102640936712142026221e-02, + -1.839974386811734118728169880549148389603890445324127330811811e-02, + -5.296859666131086629169938675330494864053932988161015674773617e-03, + 1.091563165830488927536881480211929049886878831313700460017968e-02, + 6.196717564977244383592534999284255315694546230739551683085460e-04, + -5.530730148192003288871383856487027893918513053091795443517653e-03, + 8.433845866620933982126003584365932145598126087481400294999080e-04, + 2.324520094060099304385756339638431339131122661576649123053845e-03, + -8.609276968110423879660725173525347077801305237644122054954659e-04, + -7.678782504380918697963922441514742758516706160788123977340073e-04, + 5.050948239033467796256544554086554367969638627715114003635557e-04, + 1.724825842351709725545759714374272164367933578194910678479473e-04, + -2.161718301169633804271038862087964094429005266172702380483361e-04, + -8.548305467584070994787824796256108217987765582429940610377190e-06, + 6.982008370808327851082027193100914402221658444151889697045071e-05, + -1.339716863293971629296314599448901465078920406443516550195793e-05, + -1.636152478725426488654528710478856195004608401773950511915162e-05, + 7.252145535890469015723401169934327900622894130695550273452916e-06, + 2.327549098493686509557358103785598216688723737824121617676858e-06, + -2.187267676996166416699555236143059249832615777542412142603694e-06, + 1.099474338526203304286307383463498542376432972308342428764576e-08, + 4.261662326011572446469849114416378817419458434583398455985144e-07, + -1.000414682354500898864979332965559934104686157639553850670490e-07, + -4.764379965139453357729154748688006975561934425368712852985388e-08, + 2.605442754977625431940885841950955928085338672381046225838880e-08, + 5.553397861397053982967618072672572206490972606026556946910028e-10, + -3.331105680467578245901976412732595596538702049437802824373020e-09, + 6.984862691832182584221096665570313611280449991512869846064780e-10, + 1.613622978270904360610418704685783656905979134344922647926295e-10, + -9.461387997276802120884525814092001871993910062127702293573920e-11, + 1.000105131393171192746337860330428369495110180346654025287492e-11, + 3.239428638532286114355931428908079297696045600279108835760520e-12, + -1.185237592101582328254231496310584611948560976394420324137742e-12, + 1.543997570847620046003616417646988780670333040868954794039905e-13, + -7.737942630954405708679963277418806436871098329050829841696327e-15 }; + +const double db31[62] = { + 1.648013386456140748122177817418358316441195236228590958603489e-05, + 3.394122037769956699157160165352942212213928231154233571163033e-04, + 3.236884068627721221829662672296912258338131668810067169630813e-03, + 1.885369161298591269159568944275763468999829139547989648553486e-02, + 7.433609301164788697908776495388047669378919816041031344650271e-02, + 2.070128744852353286198055444111916450619762837756134323019573e-01, + 4.091922000374278563928213235836188963704298775635493549519369e-01, + 5.511398409142754983590484577074663132074992263886810324421617e-01, + 4.294688082061372955430413148799008354573408538414331312236645e-01, + 2.716921249736946422305354732634261873401679092095992827198308e-02, + -3.109551183195075186926560285811004715398678229333522634202008e-01, + -2.179784855235633521693544507220105631639547435903112747133934e-01, + 1.401782887652732681656253206993073895422881511380152633441096e-01, + 2.249667114737370933697297905066886078307490136415302624018330e-01, + -4.992634916046823977000579399730138693074543903234092797936484e-02, + -1.869623608957154494374577196258383009208655076187653847079167e-01, + 1.543698842948893409652995335281236231845293548571166883219023e-02, + 1.450895009319931981518942907854879059128872873116921504156674e-01, + -8.139832273469236863527708715566588550006680549152344840146851e-03, + -1.076127733234956326668605511648013952380301953590447106075614e-01, + 1.094129745236496925725237900637802669504835743555466811796369e-02, + 7.535361174328140695528289751109133941376701984419452638686226e-02, + -1.488002661810482202699555987503429289100801979910046913257306e-02, + -4.861907546485433003537603385831190109391263542044516048871113e-02, + 1.615417156598591113619453864586701665635869166193865651960591e-02, + 2.804761936675616906861927211659154977049392281479113764697785e-02, + -1.427627527776351943309800140756746087215016194775579070599004e-02, + -1.390055293926652880755898888934447671732373519028670201124816e-02, + 1.051763948737184089128633441244991643331033825102031908858652e-02, + 5.516163573310992566561289762241160214476622662764637181816550e-03, + -6.520852375874612553325469682628530079210293774541131381751695e-03, + -1.428264223218909891400516038687842292177211292295049238921068e-03, + 3.393066776715931928419358796960612411097347419792355896915546e-03, + -6.397901106014600492881202314307290077992972755016494062875201e-05, + -1.459041741985160943114515221598080223845239255190055621901681e-03, + 3.431398296904734438118401084929505912208229684629857530009147e-04, + 4.998816175637222614896912406679513231966722440032799024979502e-04, + -2.396583469402949615285646688069476140260781708006174912535660e-04, + -1.243411617250228669409179807383399199879641177993453588807726e-04, + 1.089584350416766882738651833752634206358441308880869184416670e-04, + 1.501335727444532997071651937630983442758297688087711521441229e-05, + -3.631255157860086164261313773172162991107348698083164489165837e-05, + 4.034520235184278839752741499546098778993926344831736074409765e-06, + 8.795301342692987765440618030678349427367022581211855857458220e-06, + -3.035142365891509630069007852947057220760887215249503512783023e-06, + -1.369060230942940782050489751987123955074404782177163471279285e-06, + 9.810015422044371573950976088058064384946146188110905321673802e-07, + 5.327250656974915426977440959783080593776012130063170688309127e-08, + -1.975925129170206248152121156696590501303803187231928513867046e-07, + 3.616826517331004805247567218405798591329788122337274956172315e-08, + 2.328309713821409644308538888589329921141948539678106680777082e-08, + -1.061529602150252306500404266150823962402673780484965538270541e-08, + -6.474311687959861398702581539341954438747926255671605657095807e-10, + 1.408568151025177427076547804944585301332087108125727813194374e-09, + -2.524043954153353306183643702933218308617979467184848456565837e-10, + -7.348930032486263904766913919653624379586487437915175106407348e-11, + 3.692108808871129411604189196259677640440919369478263728899602e-11, + -3.327008967125979929910636246337150851642079794871116041187279e-12, + -1.324334917243963163878274345609465717294426628053460151843705e-12, + 4.445467096291932163298411852093011459626037560439178917611592e-13, + -5.559442050579014337641375730083534521513818164827556763756543e-14, + 2.699382879762665647295493928801387173921314576598505507855504e-15 }; + +const double db32[64] = { + 1.161463302135014885567464100760659332951431420121048996305591e-05, + 2.466566906380903352739104211274667134470169443886449124673996e-04, + 2.431261919572266100780423071905958127811969678055971488060574e-03, + 1.468104638141913563547809006402194831107662001343421893488086e-02, + 6.025749912033537081745451975527967031851677384078997261920024e-02, + 1.757507836394388988189299915753348505208376399651864661397588e-01, + 3.675096285973496361995340339143234125206079560406868595968025e-01, + 5.343179193409538322901117858552186425529774700290587495921679e-01, + 4.778091637339484033555130814414794130354053753675509287934741e-01, + 1.206305382656178269538098710665261299391507308342013788891222e-01, + -2.666981814766755535489784087869865024226542605534080371507405e-01, + -2.774215815584272153338153320303401666681294506143291967655666e-01, + 6.471335480551623831000090095167664918448659157720155321560811e-02, + 2.483106423568801736064852157222867588791898170114101300999760e-01, + 2.466244483969740441701479334808723214802614938081258920635302e-02, + -1.921023447085468984341365278247990525863123891147783426068990e-01, + -4.899511718467173853355943225576377418394280156945986899417475e-02, + 1.452320794752866460838830744051944832326998342053148426312341e-01, + 4.440490819993974022640619534046603571086531544468421519143629e-02, + -1.094561131160893831027722774343269232755171130623890041619420e-01, + -2.962787250844770491204452379051215505049068645551070779367843e-02, + 8.087414063848395744090831590426327690818854671836423275412813e-02, + 1.410615151610660772869738802931740150275269382463799031013905e-02, + -5.692631406247843550478416271158537960555270097953330567652364e-02, + -2.380264464932573834443178362086503847328134994591954135879789e-03, + 3.705145792354468010437633458013030898015496905609424004450953e-02, + -4.145907660827218781460700428862611061267328108653649653634276e-03, + -2.166282283639119347634778516947485598599029367518033869601702e-02, + 6.167527310685675112579059689520105004744367282412921739811164e-03, + 1.101740071540688116532806119564345712473051769079712407908648e-02, + -5.411568257275791208581502410752383050600045942275647685361370e-03, + -4.649216751184411528658094984504900172989190128905887602541396e-03, + 3.627224640687864960122122984391704782343548385375321260251988e-03, + 1.468955100468467772528811782840480639166582822577191079260543e-03, + -1.964740555821778254183647540656746450092725858126595984907304e-03, + -2.211678729579097916278097586914956834196749138610403102772710e-04, + 8.673058518450555343925662389563539890596549655683386287799624e-04, + -1.024537310607396186949656796812972062290796122915930356634122e-04, + -3.059654423826911750479261161552574500739091332121504634422577e-04, + 1.053915461739828114700905192091104141076083602686374410146603e-04, + 8.103678329134838389828091896334156224227821362491626044950428e-05, + -5.259809282684322782648914338377962890245975842272425408122506e-05, + -1.294045779405512723950480259110995722517019870286295908085366e-05, + 1.824268401980691220603850117995712615809177092802967489081228e-05, + -6.361781532260254953363913076575914206506177493714496098327288e-07, + -4.558309576264423135123964145585288808181431652781253437738445e-06, + 1.202889036321620990296134494079846952404216422923750605507047e-06, + 7.560047625595947819392627283726711361273296630256477108501994e-07, + -4.285970693151457255418342315045357407199066350632593899896712e-07, + -5.003361868748230293692887222336390314786090450819216035110269e-08, + 8.965966311957728376981484572655177545054433542721057470726361e-08, + -1.219924359483373093110396748985081720383992859961285213840740e-08, + -1.104383021722648979552131128575075255513372249283096583736746e-08, + 4.250422311980592983740943309197245384991941251563471671065543e-09, + 4.384387799940474369553236949848427579687147486892033587998023e-10, + -5.881091462634605628881794361152305108432139465417759716875076e-10, + 8.904723796221605490455387579189371137903330749397374037644960e-11, + 3.263270741332907875981844980104948375955551273115386408552080e-11, + -1.430918765169202320188022211739750594608742928641485026836608e-11, + 1.075610653501062115165734990153347111902874668945095034791947e-12, + 5.361482229611801638107331379599434078296259332654994508124989e-13, + -1.663800489433402369889818192962259823988673359967722467427927e-13, + 2.000715303810524954375796020597627467104635766752154321244151e-14, + -9.421019139535078421314655362291088223782497046057523323473331e-16 }; + +const double db33[66] = { + 8.186358314175091939858945975190102731733968885547217619434602e-06, + 1.791016153702791479424389068736094134247294413108336017758506e-04, + 1.822709435164084208084617771787691709255513374281497713580568e-03, + 1.139594337458160925830840619716397130445853638888472948832932e-02, + 4.861466653171619508385707681587366397164931431125053574327899e-02, + 1.481863131800528081784673514426737436792606299953305691300616e-01, + 3.267181301177075783930752787756046348844272437670999719562429e-01, + 5.093761725149396552227892926384090200953139820961482931291482e-01, + 5.112547705832674655425831875568453973369927971748064975152374e-01, + 2.095823507130554216526494469993023406452629154801126958766008e-01, + -2.042026223985421049629055102642279430174095014493415546881477e-01, + -3.159974107665602561905181464284910961862968513875028980451424e-01, + -1.927833943695275915600583425408664108893845271616240406358226e-02, + 2.454206121192791114179964351253140999836791489738418857473689e-01, + 9.985155868033815698139640215477639365289384281516885362929979e-02, + -1.714280990518593279308738113273443832545615219650436927029674e-01, + -1.108441331167107910806084983056783194189909198734302929909672e-01, + 1.219678564037346149389134584371009777591763921148126952722200e-01, + 9.478808805061595889263191779090571160237408179346345390888721e-02, + -9.114696835133148913093153757138373418923462847746880902676089e-02, + -7.030248505405615921453280814171665167171986608963193275084895e-02, + 7.019114394099653254998935842432841393915841096633514680190145e-02, + 4.573456189389667743139040427641638967843459421665709740086516e-02, + -5.347125133582228919431110824663168583260050383336359554980188e-02, + -2.524858297747649929258392207837724793937727346177294684700378e-02, + 3.868706076024496481748675031852528047303323816250150793091832e-02, + 1.070326582001954942654534968137727769698168853186071888736311e-02, + -2.572876175473297336123211392278301875687760837710204579628265e-02, + -2.167758617353607324783298657172830203896433848418061622436727e-03, + 1.531695411585766548347442266431874060229304787191589430967538e-02, + -1.594288782414604768637856446111392724059836934455189837500244e-03, + -7.953540387057939240459305406538116220678495240302592677582773e-03, + 2.389062408165908575935815973439728988151836094753689966108405e-03, + 3.480800953405711999411461002429227385937942254778524257436278e-03, + -1.860718214455795912074482150710567824317228203897000129729967e-03, + -1.204309257604658876916644980097327372892008586047095719636829e-03, + 1.074380696351291355073899234941719080473877020595209197706651e-03, + 2.727305847336937211749282358350196461733595290569540045817329e-04, + -4.908329007590351474487792254066540683724948757382104652497458e-04, + 4.393166251766185755059005296958129844094063524324718175254673e-06, + 1.780431898251245351831728023200069586928513661382622116969992e-04, + -4.160438516273709306234368807933932360567787692918883118883736e-05, + -4.929564423417301834310231482621574127409950921583062559483686e-05, + 2.423335398816890365621188379922041046073808819182024026589770e-05, + 9.070805757828453800203677464921508178468256685438211818575040e-06, + -8.866121366757736169176034432364298134186929098274651022820760e-06, + -3.607516102879771631230351118595069330196155459105589342866625e-07, + 2.288371276141527305481395545993763010565968667577768164201792e-06, + -4.426923407952870147984002129341809185622768353983550670755106e-07, + -3.985791291985944076942626511739220753169387460984290019185514e-07, + 1.822443332571053437467128998002798233969112236553215291639303e-07, + 3.377972703730854377516206663481869099376154259897212784144779e-08, + -3.987838198518880722819502850814936369197384392561970319349663e-08, + 3.672863576838181340505563759379169099717712645283448779390320e-09, + 5.111211857347453839549366593998758891130921028374576213256027e-09, + -1.671392677251932495173219614104411841891545601521784559793012e-09, + -2.496402105246193648073519269370197331176405371538404298745013e-10, + 2.426833102305682309891302883361232297664099485514601790344279e-10, + -3.049574453945863430361296931455141500128170151643206937547928e-11, + -1.420236859889936792437077844940412749343225644487770840543290e-11, + 5.509414720765524548752673631197714447818740985929081064907524e-12, + -3.343481218953278765982532722689984725170758193566174566492199e-13, + -2.152488386833302618520603545685994753329478275805993737095214e-13, + 6.214740247174398315576214699577230693021307854673557214652751e-14, + -7.196510545363322414033654470779070592316600780697558361083151e-15, + 3.289373678416306368625564108782095644036415401902518812978798e-16 }; + +const double db34[68] = { + 5.770510632730285627466067796809329117324708919047900817738025e-06, + 1.299476200679530037833484815390569400369432658207722720405084e-04, + 1.364061390059049998200014449396877439591680435610837369411339e-03, + 8.819889403884978803182764563095879335330977939541630862804757e-03, + 3.904884135178594138905026219591569204043816577941517019631916e-02, + 1.241524821113768081954449898210969172708199672428635378051285e-01, + 2.877650592337145629334256618087718872558560120999651277991839e-01, + 4.784787462793710621468610706120519466268010329031345843336104e-01, + 5.305550996564631773133260223990794445605699030503652382795600e-01, + 2.903663295072749510455945186199530115755664977934564128822650e-01, + -1.282468421744371672912377747048558427612774932943748628650824e-01, + -3.315253015083869417715548463087537345035828886426345397256876e-01, + -1.038919155156404718287260506925867970596448618647006698388596e-01, + 2.169072201874275950610018667099322465619408030256534197819784e-01, + 1.666017504122074437311574334509261366682993700573488534577890e-01, + -1.273373582238011562843862636988693890108793629966541695807247e-01, + -1.609249271778668063014799490429649196614628857267382976958607e-01, + 7.799184693794810738265349531832015087096882277333968473726399e-02, + 1.341259602711361284802399913977387999358280900708582462625539e-01, + -5.448296806413904636632671383140642554265865948686157271017286e-02, + -1.029475969928140852342073823689090498245496056845473569066667e-01, + 4.357609464963129726428486610925800727137724136370669421246609e-02, + 7.318523543679560555546221335452045680757998947493883124934567e-02, + -3.701283841786244960356402125554190040750079009127461655784927e-02, + -4.743855964527776247220681410983851377889756018716427358008296e-02, + 3.073974657395934459931226513844134346305562928466993208164603e-02, + 2.722835075635419610095839895805858855202745897718117731496534e-02, + -2.367173792282636485046786438094940427456079528043555566867110e-02, + -1.314398001665716086105827506126287041342680578404007359439612e-02, + 1.640937419986519252112261495537409592363156309874473310057471e-02, + 4.713649260999809905918876125437488856235874027077755004539205e-03, + -1.004550670836151917439146861146431000364858401181337134891421e-02, + -6.194748845153872839014356621835501857322345445234809347431098e-04, + 5.334950768759936032170270195983921511565539100791906952901398e-03, + -7.692127975067836975989490900561029844887285335804349474993607e-04, + -2.399453943537055863933124827688081952701780599883067560501870e-03, + 8.589959874363661955444898475746536583497522107459291718900058e-04, + 8.751999064078688732610570055224339733760304773327228476255647e-04, + -5.527355762144197975516415296735124460550632283763688359649888e-04, + -2.326732140233531635428863212833942245597361085708567528230733e-04, + 2.650772397558057819755811309071002543822145660933016957735937e-04, + 2.660050018453441903046828468025589086403126180798464347801678e-05, + -9.914697770780134603580350758869378471802751837608461971022567e-05, + 1.353117227249649581251887376414486225127346352042209141315562e-05, + 2.844951419697807376503080001943765930601242225183893658540032e-05, + -1.057657494257950623848316304755218120233253479317574337409622e-05, + -5.710826510998303938275050074333400305512451419983646591762318e-06, + 4.169871758547028398316761659984928804362023643629741358799744e-06, + 4.979718101421307748081857636471761057429219265531618602960147e-07, + -1.116306534817008428597995070751765080383261658112656948526954e-06, + 1.448195708333185127061180618150009526758658641231104901703561e-07, + 2.025990666667859216690536885693725545344933235432307649205497e-07, + -7.526701740412589411177481797841044281662555785969415398369019e-08, + -1.990346501531736915866180448337614967570744211158241514589121e-08, + 1.740423332936068076497051274445147160190783847854409836489662e-08, + -8.665744261368722215864741166245385888818567571145958531936939e-10, + -2.316501946995482751582294240136010067415084499025753117941001e-09, + 6.446378210323402313101214894500231181606520211579581132442548e-10, + 1.300410318609415248880403259300467720631189120978928377152233e-10, + -9.904774537632409015479530333979124540183199174591377762845227e-11, + 1.004208735461769864836516428998306778031143650101842361622330e-11, + 6.080125354000167254059025929915591291115751734288584563131636e-12, + -2.107879108915301546285370395443778864676275235126044599683271e-12, + 9.799451158211597727901178520526388692140586041163624252991805e-14, + 8.579194051799733179793112298652600511486581216528683482143106e-14, + -2.317083703906408481078257081903089523234020423092175261925515e-14, + 2.587338381935699555813538163144986688834142571207152879144731e-15, + -1.148944754480590128244815794312606245147888158018823490936280e-16 }; + +const double db35[70] = { + 4.067934061148559026665247110206084571051201477121972612218005e-06, + 9.421469475576740631603027533116630224451049736050903361458759e-05, + 1.019122680375098109319314672751485080202557607467199213778085e-03, + 6.807292884319132011971333979015625113494050642797397817625326e-03, + 3.123628851149071453063391210769353068187088999495893257051179e-02, + 1.034044558614783789938787754929279183985553322796063517049140e-01, + 2.513073789944933128513251971488905042866779761014740192816902e-01, + 4.435927392240354378183910489448494594782039032807956294826105e-01, + 5.370084275091661028670690231716974547580034932361053607723887e-01, + 3.603456405180473278744458573988718422538114217890792270621563e-01, + -4.388388187393404111343479394097224312100349011932028865098625e-02, + -3.238228649121161212147302807993176715625480327235512530593160e-01, + -1.817869767667278325788350264528191676841493369460849123538616e-01, + 1.660413574907809195438433327470947940538097914525298064477785e-01, + 2.172992893210892977675493456199559114036326358517672106972956e-01, + -6.526287131067753892154895911331108284007380738865652420304233e-02, + -1.919195892985939528760786800798636198516495957924798820500876e-01, + 1.930954466601835091947734585938109944647435243484967057775110e-02, + 1.552924803962371144206753760712566993987319378965231186477630e-01, + -4.752680834111350445288110998030979143710864689041902167119118e-03, + -1.205855226433935545076589480704957722635324456812322150437989e-01, + 4.734229172641948763293980314992213293971770695480616789828384e-03, + 8.991354757072954417865374195261962983644048998218233900481856e-02, + -9.318558949903924837875002823617504227246562152671894579504378e-03, + -6.335603744044346612098887534020545705731671718057964802006671e-02, + 1.322854958503655524455929847605110719648746890497356808289302e-02, + 4.125469306470509212749750814299126656151504805845417994651417e-02, + -1.436683978422007182104025173214012797788904894291716373493525e-02, + -2.416949780166026740294880681731084091264533168816746227537030e-02, + 1.276645671565674419403918018742432714973656598227939824940035e-02, + 1.228943600811871086161967625814297050611100200023898377949151e-02, + -9.577797899235709998147309703713518608283233882793489733491642e-03, + -5.085991649233429881797636583578921194675393807761154549733547e-03, + 6.137754586740521089596801883631921221145712545042519987641234e-03, + 1.428088794070762107355585870669842132609159040625895090070111e-03, + -3.357644380922383229567732565298665639037348585961127075507937e-03, + 7.615969435172736546769649923895317451534703066016116257300160e-06, + 1.549637469702362975561719246539787717204438637997824935787688e-03, + -3.346692164250854961608526121524596908041109918361306282201310e-04, + -5.864810318991817532175809224131456738367101035694188223408841e-04, + 2.648328819961289039302810122699710966048565368047575218693134e-04, + 1.700012283661249043584690194716767771204207742625746308522935e-04, + -1.365883072261161602559926714744746422567509177443594045709653e-04, + -2.976995962848509743944225866488519668585242655980656646544319e-05, + 5.304143122913310222538317980686374696005605533475685587486683e-05, + -2.437001526827789860990429478540556752694389693432668831073769e-06, + -1.572442077270281693663288966405861215692805972737981986121447e-05, + 4.308047861716731191350493437937513220737450410132878032163179e-06, + 3.353345862871309889390877168046133657377105681618708355266688e-06, + -1.895929617693153288493891051875444439753318548105998166574535e-06, + -3.903931733287306166657519468494511920760767388397825775326745e-07, + 5.302368616904760917074352633915743250769600635829229600812520e-07, + -3.700308378205124537986402644918879149894035910106489082512364e-08, + -9.990396944534900755781728477561240762191443422318249128866740e-08, + 3.008188650719066928230268918661718274504955045022550217051301e-08, + 1.084902733789934825266560240100449884702749303326571747323086e-08, + -7.458116552893037631192407611262788593505988638365840409367117e-09, + 5.897951310384361575470355861162022501172491937837712969865619e-11, + 1.030823345485433383811700481488557422005210168069163779730908e-09, + -2.433545573751672936168877250405940817227367937230289801251648e-10, + -6.407938256501889018430608323235974406219193176918284664973727e-11, + 4.000536627253744510742788201354093006471710416671002244302586e-11, + -3.125639357108557540598098228678150768528121565391376265627294e-12, + -2.567065476155081449204643852428401530283519685638256074752850e-12, + 8.015088533687900921948605418789324826115616416343391081288979e-13, + -2.597954328893848084315198205094389145706680129208998638802995e-14, + -3.397720856796267431956783825659069596940335130100871912329556e-14, + 8.624037434720089202680337663692777682810714650060805832406135e-15, + -9.298012529324185420921555664719863501848315099116725184370339e-16, + 4.014628712333488654318569164614220308046021091178184654250982e-17 }; + +const double db36[72] = { + 2.867925182755946334630479473029238615535511775894262711054705e-06, + 6.826028678546358691748629102209605362240344266505035981791715e-05, + 7.602151099668488285869792677106082100141275054892389379198545e-04, + 5.240297377409884366201603524392995696042174937194435235003941e-03, + 2.489056564482796484885927333959115579403023347044729739255255e-02, + 8.565209259526409083864716995521111486437594750377856524772704e-02, + 2.177569530979008149637945915719999746248969705650625533415876e-01, + 4.064336977082553467407793990250384445903151630768558142125382e-01, + 5.322668952607286914777444748641462027213554723153906901129337e-01, + 4.178753356009697863620634559374236455222275302996931178265919e-01, + 4.397519752934862993862182898358763783110745559238982179690132e-02, + -2.944210395891145711100715969898758940722458887377844633443675e-01, + -2.468070369781255270524798278622698446566520718230313889086016e-01, + 9.811420416311477050518401371401568038943437322299913514049728e-02, + 2.465372776089742110529709111809595434656418762898152706621356e-01, + 7.278515095792229009687682299460382878643139026668958884429641e-03, + -1.993372056086496198603363400094784142714162256792182570541036e-01, + -4.586140074639271639145126228774831743002971373998329604574394e-02, + 1.541062366276428841776316300420654875883842819413623395358262e-01, + 5.027618007353842862036816972809884096761706036019748316890913e-02, + -1.188037543101356316801816931383547446073152951044444224449501e-01, + -3.988085357551317584091699967924044034100374257075864260934102e-02, + 9.115678225801654406336059281306715151058903055370522031843771e-02, + 2.503872144956848989919484296709846860569180993040383621980546e-02, + -6.820901663681751124880436344265538690580358108714540763125119e-02, + -1.131910031681742794381808082173695022123056280821611354577883e-02, + 4.851308354780908538616267662315735632292989749013261207046367e-02, + 1.424972661765391603147802607378542396323429657660009755652404e-03, + -3.198072067763969654470293513742344601172739688274251641873778e-02, + 3.984040198717004857397179486790082321314291366656151213429068e-03, + 1.906359478062535932877576164368198274858108513696832728889209e-02, + -5.657813245058818380424016973516714570499161434975761798379020e-03, + -9.990263473281372348001743806489172665465685056975652497503772e-03, + 5.022989106665829004699819220796538830393945994687289792465541e-03, + 4.413484835350575251918616780287775585471012556848037301025999e-03, + -3.484541445404883311209541395428535732697661971818727286003028e-03, + -1.503074066296643749549363655363411879858070202740814054964603e-03, + 1.990793771851737270404293245701878186600899439513475823305914e-03, + 2.776812795712026068152384207605140383490242756921936501940389e-04, + -9.463403823261101964604918059447913047725482130063492242779878e-04, + 8.614565758992702032613879159402330909634737204578606399403107e-05, + 3.693507284967510502620040341882236687749563414433432842567511e-04, + -1.155118895843527096848376999413102395191976350936666573818799e-04, + -1.131899468084665671727391922924411467938450743565106978099456e-04, + 6.694741196930590257104231749283786251555566773398199990337698e-05, + 2.375106683660860777161950832380341362257503761490580896617678e-05, + -2.731390824654337912922346414722045404779935825834384250023192e-05, + -1.183471059985615942783182762352360917304348034947412986608322e-06, + 8.372218198160788432628056043217491552198857358432112275253310e-06, + -1.586145782434577495502614631566211839722879492827911790709498e-06, + -1.870811602859180713762972281154953528056257451900381097476968e-06, + 8.311421279707778528163597405935375886855029592150424544500718e-07, + 2.548423522556577831218519052844387478819866531902854523544709e-07, + -2.455377658434232699135878286794578515387138194247693201846263e-07, + 2.753249073339512254085076456700241929492720457889076058451072e-09, + 4.799043465450992009934526867650497683545716858606119786327559e-08, + -1.156093688817008406756913949175208452083765368825442482226093e-08, + -5.612784343327791397474114357094368557982413895802980814813369e-09, + 3.138841695782424018351567952158415003571380699236147752239001e-09, + 1.090815553713751810964713058800448676068475673611349566405716e-10, + -4.512545778563249634425200856088490195004077806062978067796020e-10, + 8.962418203859611987065968320295929679774693465791367610044773e-11, + 3.037429098112535221800013609576297196061786927734556635696416e-11, + -1.599716689261357143200396922409448515398648489795044468046420e-11, + 8.876846287217374213524399682895564055949886050748321818411161e-13, + 1.070969357114017002424433471621197579059927261727846375968378e-12, + -3.029285026974877268896134589769473854669758797446795757329862e-13, + 5.542263182639804235231685861028995158694397223907295269180336e-15, + 1.338071386299105896025578761458472955294763310766371178363783e-14, + -3.204628543401749860439316638848579711789176444320134355253750e-15, + 3.339971984818693213132578777712503670014459411167839211495237e-16, + -1.403274175373190617489823209168013922564353495443487431242610e-17 }; + +const double db37[74] = { + 2.022060862498392121815038335333633351464174415618614893795880e-06, + 4.942343750628132004714286117434454499485737947791397867195910e-05, + 5.662418377066724013768394373249439163518654840493603575144737e-04, + 4.024140368257286770702140124893772447952256842478891548092703e-03, + 1.976228615387959153244055502205017461538589475705618414896893e-02, + 7.058482597718160832030361890793007659963483925312132741868671e-02, + 1.873263318620649448028843491747601576761901656888288838192023e-01, + 3.684409724003061409445838616964941132670287724754729425204047e-01, + 5.181670408556228873104519667534437205387109579265718071174178e-01, + 4.622075536616057145505448401528172070050768534504278694229363e-01, + 1.308789632330201726057701201017649601034381070893275586898075e-01, + -2.461804297610834132869018581145720710365433914584680691693717e-01, + -2.943759152626617722808219575932673733674290772235644691367427e-01, + 1.967150045235938977077768648740052380288156507222647187301894e-02, + 2.515232543602686933435224095078166291442923992611593827552710e-01, + 8.180602838721862339029076982652411696000045533716726027662147e-02, + -1.819622917786080007408824256525225216444443143868752611284260e-01, + -1.084517138233017845554078812341876568514835176341639783558543e-01, + 1.299296469598537527842528895259188653120602318620944502979726e-01, + 1.017802968388141797470948228505865617480048287983176581607964e-01, + -9.660754061668439030915405045955772715988585374771282291315496e-02, + -8.233021190655740867404073660920379414988302492018783774702028e-02, + 7.504761994836017933579005072594245435071674452882148228583865e-02, + 5.956741087152995245435589042520108066877114768216272503684398e-02, + -5.925681563265897095153806724965924334077555174281436189512239e-02, + -3.825382947938424882011108885090442116802994193611884738133373e-02, + 4.580794415126833246633256156110381805848138158784734496981778e-02, + 2.097280059259754883313769469036393294461497749083921162354229e-02, + -3.352358406410096994358662875913243067234786296009238949920582e-02, + -8.833493890410232394064187990625563257107429109130726291528648e-03, + 2.261865154459947356571431658958802912061105608212828675323452e-02, + 1.690472383484423743663952859090705636512807161536954018400081e-03, + -1.376398196289478433857985486097070339786225136728067000591187e-02, + 1.519305778833399218481261844599507408563295102235964076544334e-03, + 7.387757452855583640107787619408806919082115520707105052944171e-03, + -2.248053187003824706127276829147166466869908326245810952521710e-03, + -3.394523276408398601988475786247462646314228994098320665709345e-03, + 1.816871343801423525477184531347879515909226877688306010517914e-03, + 1.263934258117477182626760951047019242187910977671449470318766e-03, + -1.111484865318630197259018233162929628309920117691177260742614e-03, + -3.280788470880198419407186455190899535706232295554613820907245e-04, + 5.490532773373631230219769273898345809368332716288071475378651e-04, + 1.534439023195503211083338679106161291342621676983096723309776e-05, + -2.208944032455493852493630802748509781675182699536797043565515e-04, + 4.336726125945695214852398433524024058216834313839357806404424e-05, + 7.055138782065465075838703109997365141906130284669094131032488e-05, + -3.098662927619930052417611453170793938796310141219293329658062e-05, + -1.639162496160583099236044020495877311072716199713679670940295e-05, + 1.354327718416781810683349121150634031343717637827354228989989e-05, + 1.849945003115590390789683032647334516600314304175482456338006e-06, + -4.309941556597092389020622638271988877959028012481278949268461e-06, + 4.854731396996411681769911684430785681028852413859386141424939e-07, + 1.002121399297177629772998172241869405763288457224082581829033e-06, + -3.494948603445727645895194867933547164628229076947330682199174e-07, + -1.509885388671583553484927666148474078148724554849968758642331e-07, + 1.109031232216439389999036327867142640916239658806376290861690e-07, + 5.350657515461434290618742656970344024396382191417247602674540e-09, + -2.252193836724805775389816424695618411834716065179297102428180e-08, + 4.224485706362419268050011630338101126995607958955688879525896e-09, + 2.793974465953982659829387370821677112004867350709951380622807e-09, + -1.297205001469435139867686007585972538983682739297235604327668e-09, + -1.031411129096974965677950646498153071722880698222864687038596e-10, + 1.946164894082315021308714557636277980079559327508927751052218e-10, + -3.203398244123241367987902201268363088933939831689591684670080e-11, + -1.398415715537641487959551682557483348661602836709278513081908e-11, + 6.334955440973913249611879065201632922100533284261000819747915e-12, + -2.096363194234800541614775742755555713279549381264881030843258e-13, + -4.421612409872105367333572734854401373201808896976552663098518e-13, + 1.138052830921439682522395208295427884729893377395129205716662e-13, + -4.518889607463726394454509623712773172513778367070839294449849e-16, + -5.243025691884205832260354503748325334301994904062750850180233e-15, + 1.189012387508252879928637969242590755033933791160383262132698e-15, + -1.199280335852879554967035114674445327319437557227036460257649e-16, + 4.906615064935203694857690087429901193139905690549533773201453e-18 }; + +const double db38[76] = { + 1.425776641674131672055420247567865803211784397464191115245081e-06, + 3.576251994264023012742569014888876217958307227940126418281357e-05, + 4.211702664727116432247014444906469155300573201130549739553848e-04, + 3.083088119253751774288740090262741910177322520624582862578292e-03, + 1.563724934757215617277490102724080070486270026632620664785632e-02, + 5.788994361285925649727664279317241952513246287766481213301801e-02, + 1.600719935641106973482800861166599685169395465055048951307626e-01, + 3.307757814110146511493637534404611754800768677041577030757306e-01, + 4.965911753117180976599171147718708939352414838951726087564419e-01, + 4.933560785171007975728485346997317064969513623594359091115804e-01, + 2.130505713555785138286743353458562451255624665951160445122307e-01, + -1.828676677083358907975548507946239135218223185041410632924815e-01, + -3.216756378089978628483471725406916361929841940528189059002548e-01, + -6.226650604782432226643360160478765847565862101045597180310490e-02, + 2.321259638353531085028708104285994998671615563662858079262996e-01, + 1.499851196187170199586403453788927307298226028262603028635758e-01, + -1.417956859730596216710053144522330276392591055375830654519080e-01, + -1.599125651582443618288533214523534937804208844386102639177693e-01, + 8.563812155615105741612217814369165313487129645536001850276987e-02, + 1.414147340733826800884683119379170594092606174915755283496153e-01, + -5.658645863072738145681787657843320646815509410635114234947902e-02, + -1.147311707107443752394144019458942779715665489230169950201022e-01, + 4.309589543304764288137871223616030624246568683595408792078602e-02, + 8.720439826203975011910714164154456762073786124233088471855868e-02, + -3.660510340287429567372071039506772372567938710943432838908247e-02, + -6.176620870841315993604736705613246241897497782373337911398117e-02, + 3.198987753153780630818381136366859026137035450576631134176875e-02, + 4.005498110511594820952087086241114309038577379366732959648548e-02, + -2.689149388089451438550851767715967313417890393287236700072071e-02, + -2.311413402054931680856913553585621248925303865540203357180768e-02, + 2.090464525565524340215982365351342094670261491526831672682244e-02, + 1.129049727868596484270081487761544232851115891449843967151657e-02, + -1.470188206539868213708986402816605045648481224662435114088245e-02, + -4.131306656031089274123231103326745723188134548520938157995702e-03, + 9.214785032197180512031534870181734003522861645903894504302286e-03, + 5.625715748403532005741565594881148757066703437214522101740941e-04, + -5.071314509218348093935061417505663002006821323958752649640329e-03, + 7.169821821064019257784165364894915621888541496773370435889585e-04, + 2.400697781890973183892306914082592143984140550210130139535193e-03, + -8.448626665537775009068937851465856973251363010924003314643612e-04, + -9.424614077227377964015942271780098283910230639908018778588910e-04, + 5.810759750532863662020321063678196633409555706981476723988312e-04, + 2.817639250380670746018048967535608190123523180612961062603672e-04, + -3.031020460726611993600629020329784682496477106470427787747855e-04, + -4.555682696668420274688683005987764360677217149927938344795290e-05, + 1.262043350166170705382346537131817701361522387904917335958705e-04, + -1.155409103833717192628479047983460953381959342642374175822863e-05, + -4.175141648540397797296325065775711309197411926289412468280801e-05, + 1.334176149921350382547503457286060922218070031330137601427324e-05, + 1.037359184045599795632258335010065103524959844966094870217687e-05, + -6.456730428469619160379910439617575420986972394137121953806236e-06, + -1.550844350118602575853380148525912999401292473185534395740371e-06, + 2.149960269939665207789548199790770596890252405076394885606038e-06, + -8.487087586072593071869805266089426629606479876982221840833098e-08, + -5.187733738874144426008474683378542368066310000602823096009187e-07, + 1.396377545508355481227961581059961184519872502493462010264633e-07, + 8.400351046895965526933587176781279507953080669259318722910523e-08, + -4.884757937459286762082185411608763964041010392101914854918157e-08, + -5.424274800287298511126684174854414928447521710664476410973981e-09, + 1.034704539274858480924046490952803937328239537222908159451039e-08, + -1.436329487795135706854539856979275911183628476521636251660849e-09, + -1.349197753983448821850381770889786301246741304307934955997111e-09, + 5.261132557357598494535766638772624572100332209198979659077082e-10, + 6.732336490189308685740626964182623159759767536724844030164551e-11, + -8.278256522538134727330692938158991115335384611795874767521731e-11, + 1.101692934599454551150832622160224231280195362919498540913658e-11, + 6.291537317039508581580913620859140835852886308989584198166174e-12, + -2.484789237563642857043361214502760723611468591833262675852242e-12, + 2.626496504065252070488282876470525379851429538389481576454618e-14, + 1.808661236274530582267084846343959377085922019067808145635263e-13, + -4.249817819571463006966616371554206572863122562744916796556474e-14, + -4.563397162127373109101691643047923747796563449194075621854491e-16, + 2.045099676788988907802272564402310095398641092819367167252952e-15, + -4.405307042483461342449027139838301611006835285455050155842865e-16, + 4.304596839558790016251867477122791508849697688058169053134463e-17, + -1.716152451088744188732404281737964277713026087224248235541071e-18 }; + +// All coif coefficents have to be multiplied by sqrt(2) +static const double coif1[6] = { + -5.142972847076845595317549230122688830344559947132656813651045e-02, + 2.389297284707684559531754923012268883034455994713265681365104e-01, + 6.028594569415369119063509846024537766068911989426531362730209e-01, + 2.721405430584630880936490153975462233931088010573468637269790e-01, + -5.142972847076845595317549230122688830344559947132656813651045e-02, + -1.107027152923154404682450769877311169655440052867343186348954e-02 +}; + + +static const double coif2[12] = { + 1.158759673871686817889714882853120395708315073355502818875931e-02, + -2.932013798346856448679594524397843054053420947418409889774786e-02, + -4.763959031100813225872995081511549408622753909592460525840745e-02, + 2.730210465347666137982239328923516270034828327990699588033501e-01, + 5.746823938568638472459483149751499367740786490481481391460366e-01, + 2.948671936956191896750637208703777973914107635455611537640778e-01, + -5.408560709171142997443672832006888537570221990444706777525838e-02, + -4.202648046077160694657530752545884878978719268926222513485613e-02, + 1.674441016327950635146257083249391698866289538037299820224006e-02, + 3.967883612962012109043447090269950094081810916481648252817197e-03, + -1.289203356140659543141355500990678257894936161704492503370186e-03, + -5.095053991076441489598480835620951586540050976664367876412655e-04 +}; + +static const double coif3[18] = { + -2.682418670922068664584689955153722375535836177157637134187840e-03, + 5.503126707831385107969640263617469178794666057252906037981936e-03, + 1.658356047917034608134280439996549525220639437145367606178002e-02, + -4.650776447872697640390293095170192691113917841041002855534619e-02, + -4.322076356021191118175840907244577856782537221435748296465882e-02, + 2.865033352736474630249006862976158896891076238443844211133873e-01, + 5.612852568703300445990941995240077241406247774064453800050914e-01, + 3.029835717728241602862575774374668529867757043461413348549577e-01, + -5.077014075488886159516471867138370972545857441670871832472707e-02, + -5.819625076158553022607041679522801089624825903982541419721721e-02, + 2.443409432116695639462954438418928805487699080947974989338820e-02, + 1.122924096203786563399489540091488781245346096838814728167341e-02, + -6.369601011048822977293753932627342482077585617391852852955559e-03, + -1.820458915566242322836631665832145136570132777862391313328351e-03, + 7.902051009575939937150950543290226440287715441826917281929124e-04, + 3.296651737931830308416338897758022998655744276957481989605186e-04, + -5.019277455327664998007173088097694083956570594580641192332170e-05, + -2.446573425530813115445387662881902303945941576472342106918209e-05 +}; + + +static const double coif4[24] = { + 6.309612114309468490753696608619526520153127603444406835368201e-04, + -1.152225143769973488683007937016166047881572156705066038094891e-03, + -5.194525163470323267558201363327294331811309729430512113592118e-03, + 1.136246148326482276463392678363118465908960082105224676102131e-02, + 1.886723856956305960822813160712701905823879297781452350370094e-02, + -5.746424190192718517290527411385172124443396690932404284859269e-02, + -3.965265296244913762718094206756579981738035770770645437919302e-02, + 2.936674050161006858761278962798582650835466243678172528509866e-01, + 5.531264550395492870333469741987846570947502710783248169642137e-01, + 3.071573096678856987248881030393884808414165269795297009902001e-01, + -4.711273752389572084912399351781012121935994396763702238263689e-02, + -6.803811467802056988332974920928626798429778679560269769187728e-02, + 2.781363695846951303169163645831936314699164412528991864702607e-02, + 1.773583142270308388403079552822372238681544967313003044695583e-02, + -1.075631615508724933047071603601897536695959225169888787867102e-02, + -4.001010844950535391911552472397083276670126595827549403173754e-03, + 2.652664913530499860820143301690017184933302935238430721089152e-03, + 8.955939276952843603555618778866181384528643960440369133096025e-04, + -4.165001950941708741516836418852536615951250588002878691463468e-04, + -1.838296167136253805617482342622910940008368723403836355183423e-04, + 4.408022661597206973006038672236031501663774161685451815597956e-05, + 2.208284691230832960893331999804142845136324572860276715790883e-05, + -2.304919162676504406778986897925054839632903355820414483306851e-06, + -1.262179179994622253884862172782890488140153502131112374520603e-06 +}; + + + +static const double coif5[30] = { + -1.499645228345950331670593167919531667975440598691604525531231e-04, + 2.535527523580334712936363872191554706055603482812691726895588e-04, + 1.540286725995222360335148244676269541414659303531250711822333e-03, + -2.941078164035693185044038586065593320891475311414770624555173e-03, + -7.164112349410053294382279572472252500899544810929605832362178e-03, + 1.655218330649288840540841623080651353621667424921282557975513e-02, + 1.991901719798432056056857854066125809443504706772520641876273e-02, + -6.499837825472324963374262221660858232544804226063450042795603e-02, + -3.680255347446873527191823500872992242220223547780834450868002e-02, + 2.980959014587191795511466861338063554509597132272839414668911e-01, + 5.475082713540367154128337935687830970431964302909253422329131e-01, + 3.097002590784203529311533316221254677074498876376965941549923e-01, + -4.386731482823615640442730013366750193381707273908757638050452e-02, + -7.464442013283971243472663968192859562973186442054433655531762e-02, + 2.919469277528073666095772398605275751022315529465178441510318e-02, + 2.310457227706684192610065243663928370022983285246219996141160e-02, + -1.397129268638200558584119246355879336305763752871371182932059e-02, + -6.476749751505861835547590642967453082384538848552165075614441e-03, + 4.781116799130657606400088024549264921093190305150784065791191e-03, + 1.719383484385504023022397097446276782318002683055773803854075e-03, + -1.174947934413537690027670037110105795928147523549002426409332e-03, + -4.508222400696236312231932151038336110220594834213702970043431e-04, + 2.134457975086291667348984871136041914777578046177470626552867e-04, + 9.924691139873533169989496559631669037970741600337089424730635e-05, + -2.914684388622130824599478843558087403539428940986384077972155e-05, + -1.504031798197685905639227292876711236513927746903476131955063e-05, + 2.616809660013118152124234488302931243021794024318439103773996e-06, + 1.457502921355163070577152619048168436286350537937563166257584e-06, + -1.148199649902979726237655584441763456854312591680755421569962e-07, + -6.791060677322355511541065559242475254516249773485524025251102e-08 +}; + +static const double coif6[36] = { + 3.590369176713147297619137585162985487882983106558813483919654e-05, + -5.739587600308579302553116112640931312834124316491419262693257e-05, + -4.416681189774217015420887950711066328841194295133755225305844e-04, + 7.718952365964601416123598337617069164684563206275891099236221e-04, + 2.502464949920583984721024494943552146200854870661622211002418e-03, + -4.970540926794084916072709193212250530229884674851059194676904e-03, + -8.649031599946572670088689962363342931064457587276457635862837e-03, + 2.096272704497140779792663941456374769474253019820508756967019e-02, + 2.035485665853858604541136567848434116598037957308057353920592e-02, + -7.047945564795552885905434147081164203757922879137146339823510e-02, + -3.448140611368923447131875491841937617457159299006945091335206e-02, + 3.010998878403483951866118786441379902683440623823004392113350e-01, + 5.433431541205752976643226361323847389491208513427704619816300e-01, + 3.114106686884303879320332890564758567306967030720816157048784e-01, + -4.108920994584877203854246950993119698209208008049962179892675e-02, + -7.938037857340304740867638342147592451705918503253249849143539e-02, + 2.959417996664270964779250587338231669479158250990737014414477e-02, + 2.749324945396978289421721884832761949259069726774638450310483e-02, + -1.622820901345195945858655272139343256940218447777075044002063e-02, + -8.944948800734973559175903045029991278019908264185511730556261e-03, + 6.781924902353432370456282863377674743820538634665380239602198e-03, + 2.727776322637165251200756406544564359327985321401403409245472e-03, + -2.173603470504406274543289770274934991733554729244606459300157e-03, + -8.184301467772110627838702680469158860544118224504527036324346e-04, + 5.443695006423825218320707989235387077885356717678678221237514e-04, + 2.299669354496271337796680394777537358902688275513954507765924e-04, + -1.093025858275705388257100771765109469841731265349469854748449e-04, + -5.323102894235956524250869703703947941287269765076967124254140e-05, + 1.749138884456354646795465632327170008020712055425505484223307e-05, + 9.291277996211799255766657547295162218792966588358292566578482e-06, + -2.067852860108562040355056354764683583070734740977224663511355e-06, + -1.173528057754959701015486666538811237336231287996985858558749e-06, + 1.595231380068613024221709499993144713297922814623646799204434e-07, + 9.548236102970597211555688470325396069418862428946106509526618e-08, + -6.001316648399794543233636397364817876191104394511939069108879e-09, + -3.754092421718877429714314525761519021787631896344301745834088e-09 +}; + +static const double coif7[42] = { + -8.642436297638419945610948131417508321449359042880382837616795e-06, + 1.323092600668737320653618189565188176193563004626002735569108e-05, + 1.238159302411191700694316904823586790698547751438666389964909e-04, + -2.030827471878621660379666662315021490193874834607822591973651e-04, + -8.268301617880235510290843066205662542616488856061409195612586e-04, + 1.489005690114437686460337716452079526238674405271430102926760e-03, + 3.414934412450460679215304700817226231104673750197184931650456e-03, + -7.027860242269773782347401141338545341343547479199220829531083e-03, + -9.759879698174635975799287457121964575077621800626382384905922e-03, + 2.468545489421116360102434627504896094772630565645374342185378e-02, + 2.046157861402903980087467083352777920759194756736646791948754e-02, + -7.463948234553393791576174267216063661913646014250615692345955e-02, + -3.255052720695225444262327386510843067531614239181091226317606e-02, + 3.032701839810768064176188260727440638632962820833222425246103e-01, + 5.400990244606528900971955967395441757408783874674606654776292e-01, + 3.126383971738483006163784309975347847899010543829381537178238e-01, + -3.871497424779051301839419764560067767205245057921330411662831e-02, + -8.293907947422769053048964127950429060647696494556080282464817e-02, + 2.949014117259198370970425259971349135137714379653805589390139e-02, + 3.110778126696628039496809790347026077516532785378620954115443e-02, + -1.778674610242698080195492177636195380628008680534327644027865e-02, + -1.127612352465961805417517163375322309389029593356595515710364e-02, + 8.522290099960163136478259451975210336102817817562221392657719e-03, + 3.840520687530513060929693850444023135936063807811968697808645e-03, + -3.265307484878191553686608663193259573061021023330761877609170e-03, + -1.273879229605184944648413513123685328329522201334094650099164e-03, + 1.014515696091098223010746848382433126910091720031207326903328e-03, + 4.097679895401914370060120309164154094898913488243766819496226e-04, + -2.609696573094586622328219462237882874111293043254082981395787e-04, + -1.186646887145157446962850804940522053646675640116219334763007e-04, + 5.636383526557468584243108976415315613118268111676116113791335e-05, + 2.858866828380331402146557751682881290895951013741692838961144e-05, + -1.006611544197303027244467426357681984010120261232862556289963e-05, + -5.495099010556417822017774697665452170235386110376505191968507e-06, + 1.415682965517504934011008339473818198664994789606034408294717e-06, + 8.188133233610314217903522752009348948778608588070621911086501e-07, + -1.463230575247395655425908281663831406004216665367756779712751e-07, + -8.874835827294529368648499409085591173735229589713890206258021e-08, + 9.853606453775557692052504971290731996468795418172901924493247e-09, + 6.220130833773100584817683046405291459615130548784852993590582e-09, + -3.237371065873786031415974713833345092654235228652968924822315e-10, + -2.114649662048637955296836248309680136665362492693075345297952e-10 +}; + +static const double coif8[48] = { + 2.089031388199542217649735304633077946477575993553137874997499e-06, + -3.088829676466960594403785936495123295795735325141186563064826e-06, + -3.415065199420814308581377665735877442810613593316182887801764e-05, + 5.336794978475752885866749586223668039582360880077534324830961e-05, + 2.625452092146307108027768728326461036005400582791844219135485e-04, + -4.409238208772274245312366838988697089610792049225817119782188e-04, + -1.260955244697859087126122671343741939804055800993471565939717e-03, + 2.334035748516809401796699851512493931521487402803856088184519e-03, + 4.238998515964122916906367014472885263525332429616686168386780e-03, + -9.010216682788485374574179959374952745626145790175446525921665e-03, + -1.059137210972160452062877264732854070957273640727973500291258e-02, + 2.784023497265315551670806338623371354680279388669611745037381e-02, + 2.038491393825460625255433218588522954822776999829791972608492e-02, + -7.790193780817760648856650048481215968473342802126754335290911e-02, + -3.091398960464199635355286295557605183007519885588326376800431e-02, + 3.049113846932028296232414935045248095543039057351616871735909e-01, + 5.374812703269839615372906413514102630694929400948606989937313e-01, + 3.135612340595966380418077448086007870950549040456326333016594e-01, + -3.667108316665038246204915903550010028035229188747930760164446e-02, + -8.570923901203457457230067054960180625904745972345544735005669e-02, + 2.912276318941918093502808667205448538832711003842651923199100e-02, + 3.411957880301561499047582538207723820508873324357307771206279e-02, + -1.884914078883376071043287013172570992844993887415459298291641e-02, + -1.342459526650064517082192966318056581890805569912583356614454e-02, + 9.982558825082415904373108133470460186315362848702191453854950e-03, + 4.996294194193990739772329108378853011245087219628720892888460e-03, + -4.353415716030435524873558659254500246467092155734985247834619e-03, + -1.798882274878169625580021134613003566863070625422298385086326e-03, + 1.580842866685999532270584538283553531040029730619088591607990e-03, + 6.341164354094166487421798386547881496331208497274921165613427e-04, + -4.859037288504776883185923185674204816335250660367189593401172e-04, + -2.105615022500261821665621601578029342187313061309595147668812e-04, + 1.284762650553455535249206074613997094898698286922036784576671e-04, + 6.190332439714985153834932259246488292329875513962818749340013e-05, + -2.932710247776567240870160300128192249260665410455632214571613e-05, + -1.541634258578732960762233596163970199686495285352470015267722e-05, + 5.679130231196248852811714735791066544261806333156564637706958e-06, + 3.179814253819903951090335509892218398493686680727385157906016e-06, + -9.018823843695175549580166675906964282301328192772638509290562e-07, + -5.313922705051620291263120753790527283196870682052587236468039e-07, + 1.123841380424949688574412705744289982140965409566073018148117e-07, + 6.910143395859795983361485345968765950977315740669289349714194e-08, + -1.028133863272738862101812736488937814136249072478179304322756e-08, + -6.555732343557023119114074649273108865362704549509543350446188e-09, + 6.130612315575721972473587395696526436552798806104270539014282e-10, + 4.033910072490666571003953018881489938766267669840899254802129e-10, + -1.785744077894230068079099924407862882873224386100989050429950e-11, + -1.207731024612356156550871498168833597517735826635815624658975e-11 +}; + +static const double coif9[54] = { + -5.066363823597422392806056574334164019913184490360944548316318e-07, + 7.278391993125473027029583168671424388748658656372670262448419e-07, + 9.304737272738569335426840667700605845237073216830127313873309e-06, + -1.399166643491873035927397151326087921115765448962913723958371e-05, + -8.091702401289310224621206748421921014290936300934460833068239e-05, + 1.288948603756442891955388200793566964011433484841725529675464e-04, + 4.429833292564910878782752821721584532350914860569614883397891e-04, + -7.604638375385009047720991576053046852032649468701121074994496e-04, + -1.712076406330546261864476465012314688415071394908910205115863e-03, + 3.250609771558499559986242897495101339387218580957593472948506e-03, + 4.965544559205420047336110923957506351279457718709199656899118e-03, + -1.087293322510375296786682178855708097994536728252120886318829e-02, + -1.121487186714498120022344911296954171366809171629939577546416e-02, + 3.053409241514424830665032185876170313664500941851818086027391e-02, + 2.020392698610770380447570514810463753302939216061746963067828e-02, + -8.052780090649459945830240285306098489931000767407230573519424e-02, + -2.950481547909572113527928936790826747949471856175409844500779e-02, + 3.061961521402196297060170641420108731472017553153312985302650e-01, + 5.353120232520133713115706737209774227378476257207779817606799e-01, + 3.142791902169524902984239510600746503211251765067043225338625e-01, + -3.489491800009343033063601189229669581774254383120018514658627e-02, + -8.792560957387142697108395104950963599558244039650648988222216e-02, + 2.861927542811334614253853950282153483993260752259557922334958e-02, + 3.665967931975593019562623910949450882200844831012366323592970e-02, + -1.955945002554213167931774103463762372167104971118382178710488e-02, + -1.538279230927754406350075858557526842247910581873511998413085e-02, + 1.118552122310349928798438523781104471338643824158961043502858e-02, + 6.153778805250375760539535917130018322120240439861388830004320e-03, + -5.383941047406102653501165062580070636876629329655105558566173e-03, + -2.374234426766700376811893833905319565227030464607844605997432e-03, + 2.201384480544939153490212385667343932208692420769790727070706e-03, + 8.978070631742198872611262172632408686645841161925814232909679e-04, + -7.748091639808001244045755147010278445955718484470643940080615e-04, + -3.271988742130504187500457463514277973862371006416232573352337e-04, + 2.382340816470993068532708118584131071285832153866665367058914e-04, + 1.098939547757907591024137319089517624469653929668339354098746e-04, + -6.459841534412000641464605011582059745094736001136249665670393e-05, + -3.262384353548798509572707535297893969508001470867657290979350e-05, + 1.539823757133791368834354345267796411124232848770592546980638e-05, + 8.354049038925734685227308673812966075026848925201707946720101e-06, + -3.173574058801678589943416130953277710277471261605337088707621e-06, + -1.818949869332426905097083388417804018910760658657704860329107e-06, + 5.517186750972799125927280958782447793255276643806997727626076e-07, + 3.308966123618421063439933908570170555222439095610467058151640e-07, + -7.846530733490392810972396794430929632826504340137889923489193e-08, + -4.890737315241025544677728915264690823141541323355311455146920e-08, + 8.750627874791451325430828577550291173132606932489491650978024e-09, + 5.638473635810843029376963642806188780738425364694324846641801e-09, + -7.167429275081674956250392820907257304489315331347262926580420e-10, + -4.754207280832321963819557935464843642627576884386666887645887e-10, + 3.830468826216721628160165172614737318957786647293037946018968e-11, + 2.606522688312826422093936510197703125780060151935658173250167e-11, + -1.001456631869681899515352955030379117902110811720682559024841e-12, + -6.970967839322873084383232882845795920838117679540306239345441e-13 +}; + +static const double coif10[60] = { + 1.232039860648044172279299405224082875252688628145893763395790e-07, + -1.727295600804314762711191670132331791341141012661151334481794e-07, + -2.511081517709769407961552319066117068245327429766666733928049e-06, + 3.658544046042552874351627900962366978528997860123373895778793e-06, + 2.436668276348995654567141715803151760606013118025710110377401e-05, + -3.722543982033220274394394471108112000512191070987312940916252e-05, + -1.497469279949762172542844959871018020917187701428092381975699e-04, + 2.428593780445920993243261353647084659003272232610773863151794e-04, + 6.540313182060373357098490399551418144208877502266803289923939e-04, + -1.146063191568871560182378726825944083414392177714466101235875e-03, + -2.159498802066973425125604747126061872540389369353813104148470e-03, + 4.198356898750693446005403941056755251392636143022056890090725e-03, + 5.598275450294209413911534747591226887261098750954757306041384e-03, + -1.260095805571421166223679712763560488266840720081803933722030e-02, + -1.168247265355164122837179014169010489974316491167398434017964e-02, + 3.285412351493396730558710291243592888780292689130164184828513e-02, + 1.996368405025267515773975348713442321055648689376329104127913e-02, + -8.268628841732119164746367518414478774806468603519900610269584e-02, + -2.827515877359611439071634624194631537427006948348240041241060e-02, + 3.072295399526691328155262418641709088201200529352508961256835e-01, + 5.334767884906935739862412544069281108017755758434730066259645e-01, + 3.148528691610333337017175073118974445216093370484743945217914e-01, + -3.333673484145423901496513466029874130150784824285513273324710e-02, + -8.973828824876461620729131462736908322846203417126514244115363e-02, + 2.804975877403786393498709022507676088711706121355859697479949e-02, + 3.882650078944377967276663169043218713908993336081868910959595e-02, + -2.001823819093022389853947550669865247947997489243455484715571e-02, + -1.715959267288721579873571730849821259719260958329570391883719e-02, + 1.216641740406415476398704875951061876471553491032831272757748e-02, + 7.287002668222967317616933795891484580054714258414483676611073e-03, + -6.330873585683910945116572500327893678512281593087324528956428e-03, + -2.982656931766638403179439090660944850553111019029093184942893e-03, + 2.842726797184870190904247769487845255184476983143715832751782e-03, + 1.194989100375986838359310533134452087293580850721847113981799e-03, + -1.113592929026716220582486976294877082540073971334172516478939e-03, + -4.665959023435428623124863826904417915798780109069842899171733e-04, + 3.854915448171689185378413676726041277985033697385268395398737e-04, + 1.722736489049248280735630694200218710841097211364504157426810e-04, + -1.192039440276314665828270011182318354192262701354872993867613e-04, + -5.799804551608036312810594836126727444524814767625101691871260e-05, + 3.303955116680311017462087431863046046226866796792060186027460e-05, + 1.735375106985050789058251093166552848987592399630060085283037e-05, + -8.153689583347474492592925111165323709051679031024702923650800e-06, + -4.549758014112714450559595397423919633198378184124113284457878e-06, + 1.765789027517910443710091424096930382691903616281733579514694e-06, + 1.034104799224371158938634470768393243015388383126290286799001e-06, + -3.293437798170512614804826256037338836342628817269828495710584e-07, + -2.008825017273243555706624872035287742407494975566457013532182e-07, + 5.172869892752758054467150354777867503503057315845912340980461e-08, + 3.267471887025676044777185234904542674259187212800749921513620e-08, + -6.644210603985367626472026676249006537350458801953377329083388e-09, + -4.326722848192605397244652678298064482622875881609332553562911e-09, + 6.694767246505386091091135023442214060965867621406459703646360e-10, + 4.478193476940001390457010880530025539995676698350272513506529e-10, + -4.958883523601264332798684165341380344606385498242825617652400e-11, + -3.396977896617646756144544675014526730130390520604930211664642e-11, + 2.399541927897950965447863495074910322552410081226759270966602e-12, + 1.679108441896732974456456195021048198285552771033686283521003e-12, + -5.688326582012783070559328035350356616163807538811872116072541e-14, + -4.057351322008929507004790032757210978914475486123608161502457e-14 +}; + +static const double coif11[66] = { + -3.002841270578181341151286551992204393218350582050331595402947e-08, + 4.122272295217427667266356780879156258114498741519631516920331e-08, + 6.724990810124306151562398023851821394904913501570357570065506e-07, + -9.541360761072246280269422180608056185383175100955611359233360e-07, + -7.202532561401011173077639437360684947826378373817567768549254e-06, + 1.063453162485789261522879856606560854907350313528134680849924e-05, + 4.909272375475312318494348591512780526373439988508822238418822e-05, + -7.613184050961339338779773068101736230733664198546980476770618e-05, + -2.390784892821873979161511417107775995428809136314600188678204e-04, + 3.943679383279311167583246559267867071442290440944189999981643e-04, + 8.853493370435959653823385085809947651235906281219659248568656e-04, + -1.581686514051756535736270395427784669332587895176156014356356e-03, + -2.590742746810224935563114329456904019725483278674143464295211e-03, + 5.149870818465970012295826228755714553228583889769273657074563e-03, + 6.145845672897527026066671647152239861924038000733917998375367e-03, + -1.419393259281191647250120633508339618223543447429480888885451e-02, + -1.203207413449444640173778009728050814154121296076212013667261e-02, + 3.486923068039100484429764121043168480751638068774959794674373e-02, + 1.969083876878412756398286849757105734674338626918970666727437e-02, + -8.449176235282616008524865397153001199569198030863676330987291e-02, + -2.718999570426944985720147291173682797300682913513030026037261e-02, + 3.080790765578655262603080397883700945436205022547475195838858e-01, + 5.318981263183423043747894675482113686160804211740980090048888e-01, + 3.153211471627422880186647707469009438784368258990685746892257e-01, + -3.195766007061928848761664009258043321006644364041143491101353e-02, + -9.124769812610534134560255473252823728312230005712995741316249e-02, + 2.745384767698916118757918507086581985709771313695467894960792e-02, + 4.069416828919323054368101934164054080633716017333800953161065e-02, + -2.029580028320762422710091483209306643651315777764043153811346e-02, + -1.877019961372162622019431440913198179510661354819964912645659e-02, + 1.296101510005597271938818874849814161448679262503765364267420e-02, + 8.380611488139723458203988762791929393262625838897962724368728e-03, + -7.184830591966413369120495146871921423473823635538498945128881e-03, + -3.609859908793898337842135309705990038242466823111355909651691e-03, + 3.480855644490575075872348257576088455972056599653664736521251e-03, + 1.519587122349825377958385405834371021723021014013798688930949e-03, + -1.487476950041717485556524898256248562236771186568035610613046e-03, + -6.266221323526552965740711288191177473318091288369663188353385e-04, + 5.669194750141824007727306877180277155664136228075876060283768e-04, + 2.483548169561553353815465009266736653140504966736322870003302e-04, + -1.947562130464613262021359493483333444690328898219310892360572e-04, + -9.182970970440133704016563635061723131880458403925476794220964e-05, + 6.068684153958316426511545635539425250648039719186543457181453e-05, + 3.088900022390199858477343797815906237906306891829977141838519e-05, + -1.713715146668224571508596341585374794778243270230714316209873e-05, + -9.308177549019247529116617185853630140339620355105237169582950e-06, + 4.350944607244218897315593155029012286145084684860699651446177e-06, + 2.489826198091695152209251895295085602387717821947484457226637e-06, + -9.810226131982706356161587985205307909654994261025367440308819e-07, + -5.860477917929613862778466907321520994203794368308376828863000e-07, + 1.935841542281693216091905456706113598339749921662496254592563e-07, + 1.199713894157469549665332933845486904444785619477457333399722e-07, + -3.286315290852867745345772422742964814900623793534583508718160e-08, + -2.102733655956564692974301994118024161699559390143901211493212e-08, + 4.697313377266824850774441291113868308618121213665395500265262e-09, + 3.091127346541495169376181275469205804231142302008934448079057e-09, + -5.492931291038498819123339772152269159856609319161416280911575e-10, + -3.705832674015332129353734352375876066802108394411578196121359e-10, + 5.043003455436262175385618694799102815016439527671656113021805e-11, + 3.478819684783597645372027295624442362976569795450758846730982e-11, + -3.407139658961008818238265022607619145960800136177153397899540e-12, + -2.397817050423233350570935216927526718398777501751418933159848e-12, + 1.505627237721835119751916336971964703936303188134672123458877e-13, + 1.078921592982513510792367677790040203074764526102391850430293e-13, + -3.263876236830110071269528317803593334490309684938793753165837e-15, + -2.377548488823423543125139291778920077224497814021891145988281e-15, +}; + +static const double coif12[72] = { + + 7.332768095940030936479170284005726526900547838823690875511772e-09, + -9.882788960094173321966534093367099204293628590516819427395258e-09, + -1.789770690933674811780047200109598433010386971973430500672055e-07, + 2.482235718295242398333562594286195512316082783324858732252918e-07, + 2.096862898770904613564680054212556937787154121601629543533841e-06, + -3.008997523302885197296541933722942006923516241629763269568385e-06, + -1.569727511606401439531655092040058072751445499110659438977086e-05, + 2.347282446659006948884988502182500910534796840878776320306027e-05, + 8.432620671960839513456175441990492843161437159914478159180496e-05, + -1.326465700910231806666155456982630828426491024439193157580022e-04, + -3.461069031961523260598540665989975463806418435597964924450827e-04, + 5.801724592109383434087721189210231779950668973412340708531782e-04, + 1.128329952931538448642997807830809340563912699376148776100497e-03, + -2.052978207989856468257756671236218003175082899217794093393105e-03, + -2.998854718805581165102352821152213608341151163107294684246684e-03, + 6.087234661002692098937246236052456417362244403536977448648695e-03, + 6.618258248500649305698119745808151708404790949797235636697129e-03, + -1.565844764466259880161945578291943699894979290174981301878469e-02, + -1.229143532595011743051583354556862863433008454113067034110364e-02, + 3.663359030520896940491446552702346213307676159344592871561174e-02, + 1.940158311172772932244832520273815443263367988550797208188773e-02, + -8.602421369693663560157681223178103065887873009243441444273671e-02, + -2.622309610147498279896640360042796723325043337619084753451538e-02, + 3.087901191936800440665016928578559620370136549385877375418705e-01, + 5.305215546028922252760737677862501004955798466743925981589890e-01, + 3.157101125097144187884255713018906584467729236429617965600542e-01, + -3.072728270411850832025519617026920233823691270616686168610683e-02, + -9.252355517407954901591096183036942267909813631619741203079509e-02, + 2.685426980489526041311526911968158600872135457665305597171601e-02, + 4.231906584194910461336004572125137067789978502941750699346161e-02, + -2.044171277278771763990740324636394218858904394719947562326197e-02, + -2.023145788215137568397333973747514178822985181848891022548418e-02, + 1.360136074289957261858358098198061002684141161420690992513613e-02, + 9.426267566785124441978318969535742805562416304113067761168412e-03, + -7.945708281838580982329878679291156067815423974682242221896984e-03, + -4.244616137562462768873148640133872748101997290450405726506771e-03, + 4.099701294107222470709340142349077619300436310693220618061200e-03, + 1.865723923369076273507077887878603520484228647302554964863350e-03, + -1.883095146836284131126558963690882906898471660722337699052360e-03, + -8.050306441934266570411103136671969129999167330943811990532568e-04, + 7.774244768363498320173652454360791629397769478205798411568457e-04, + 3.372847962851042846971724663631080138529114657505401824166820e-04, + -2.913208318185371820345028586920081498099751816901944041981459e-04, + -1.340525559954698716569234001877227886256687091468901002407760e-04, + 9.982127673611594435680485331533411291981760920599082733502195e-05, + 4.937348728732130704294498684307923950522584256106944886949448e-05, + -3.135036716312241024722693180559594774556478340860978546951440e-05, + -1.658147773498940772484726369548058692747045913396859511266770e-05, + 8.993369381780249884815177697768622600696214964193331328463550e-06, + 5.029634518357754652723486937747064581822127275361432214835696e-06, + -2.337864167664466494570925080931611944904459384149351585277512e-06, + -1.368676631106717262348517888568825801321041470548296848624890e-06, + 5.450688318062644286926839313049161286349015828217309026636711e-07, + 3.316523922200394953147539061914190708715734274178414348860243e-07, + -1.126508114108817402586366374763002332801656314726353024056859e-07, + -7.087035083421007145362900821929976013240319835720189106840565e-08, + 2.036136552214949970328712725606531020556011014972233106738542e-08, + 1.319046726965912968164902682289037946241823978447803297147618e-08, + -3.166087228464481990319888550523695148079523238750557992010525e-09, + -2.104991149449598511738256933418413456831105806964526595267674e-09, + 4.146945431639040971236501326093312709747378328969720686955287e-10, + 2.821776098897944456514363403112985675647966425504805181915693e-10, + -4.446983453406239471384232757602885317329111550023751533862821e-11, + -3.089624808780293616300620576734718588630028421505260673719541e-11, + 3.747462360879854551489729939613548244791307999347455031364712e-12, + 2.653081274384644726529610503659130177381947905208003616541403e-12, + -2.326413554174593468421370682954805683688973923244290583476656e-13, + -1.675405289088832668656302656638525011959950143853262083260676e-13, + 9.457233677790636292829124094363707169383163229929980763002159e-15, + 6.917698090475727804437168736067302147625040054118083556555473e-15, + -1.888230812078774308964339134901795324778762733781901178118498e-16, + -1.401017335540698807093219863467094751924636611380629198255055e-16 +}; + +static const double coif13[78] = { + -1.793548393002850396214718676857202286659666424187461477734916e-09, + 2.378211185014311786110879108757436954350720046766491611553072e-09, + 4.738378239463632066007380653022285879027956504083662158044852e-08, + -6.443042549205366017018471056937057609502890297774359019447097e-08, + -6.027665210865901726655682284996751140817763415224888556619716e-07, + 8.442063562432018658923481573987170154629168292318465207460091e-07, + 4.916019713173742217516567081751095460187255617230097133575212e-06, + -7.131597545851986841244858233956149652674565400158665885083228e-06, + -2.887621717983862897214028125602451735414281976333647039362767e-05, + 4.370659106170444884665034460659021177081728764017693131624860e-05, + 1.301010589502334343162340998315752253281092458614582842230339e-04, + -2.074517436437432445981843921824038136707694799228389255014386e-04, + -4.675659350970496983228743630930465551287595323790670572391233e-04, + 7.958726623965077575159821003474228536032266651825968350366428e-04, + 1.376238684291389421260151294679793034786767219476646917508650e-03, + -2.547925839943045924066603828685111513038130582703762656864035e-03, + -3.380448382429659921946074764411430359936216225160144993981999e-03, + 6.999176747558747594441502446219623982632259493449887383625331e-03, + 7.025277873701559172377638256697086265819697238858476588169332e-03, + -1.700403721911182477272019360628329604078467241211115244215388e-02, + -1.248110041093927898560561468789729670710805348798639274049645e-02, + 3.818992191138900815386778979798299217649095657811074673392633e-02, + 1.910593122449920408487253901211150453954067290839567103918095e-02, + -8.734123305433746527793626123316474698117075663794485992246041e-02, + -2.535440772516182914289995632242460491764482405133781896194027e-02, + 3.093942491825020619708297996329932122162946840728332042771585e-01, + 5.293074910143676049377270336094486347453907972435992671221709e-01, + 3.160379244009616024122892848920228469630372079810266391126280e-01, + -2.962163220306191371882270857478632946112548274231313092509283e-02, + -9.361576444399936039733984609999327008143196158286264947803189e-02, + 2.626405247194866459650693584890446232517026215635389354877327e-02, + 4.374461075475828517065334688194008307695911637366798984389094e-02, + -2.049134157245617651216272008653608168147661681048849172375451e-02, + -2.155975349513035485872319905355436164781967949252709342828195e-02, + 1.411469715539851095863611028564527062867149436850684547048665e-02, + 1.042015012705080744964255765999888273943255976544095301354753e-02, + -8.618241965220092705853657584595597150491673418403411002408392e-03, + -4.878411229018901327291501121500987653856731550945133361152065e-03, + 4.689231319014487945639277139124902021493524893685817080310457e-03, + 2.228006944652422042461995816835639158465376266146249271470082e-03, + -2.289300216009735975701956488620738834491684014507704186201093e-03, + -9.995141996257751415873914459680403989351818715310372734784204e-04, + 1.011237075436018016549433779140494575127827962961245293854167e-03, + 4.381342083712223181655422780539654899256457840343499415845070e-04, + -4.077800844935014982451276827385817092870017635124843071185474e-04, + -1.844040745436007917646038575655224990196066190810660605304526e-04, + 1.512620828188999164176721097533404532449113024454664717717400e-04, + 7.298889914269074881614764112188558106800789316340412477261329e-05, + -5.182922229726125421401881179344203187294861819954288822285889e-05, + -2.672839739746518397507211250706440905085295052637683361350922e-05, + 1.639620996879063097510387977200493175731056979428359020893174e-05, + 8.963666558523048764112718546851367368030517279319460108445549e-06, + -4.766464838000155192746436553819324857933144402808057358218020e-06, + -2.735466156072759824467664346873929524570661158335396527180534e-06, + 1.263996241706422344627321843525682342021921638088785036829943e-06, + 7.554924136965026151745000640360811330632516737592082697244460e-07, + -3.031372027194064857797292192738025195545051465615020648049694e-07, + -1.876153353569459383609680347900216851365226014600160596860682e-07, + 6.512178154867684103162618794588474859582328666119453018835115e-08, + 4.155335593309412282776259416691605536103007067016402041304343e-08, + -1.239596814755558143100692869308986827004606690663547726503092e-08, + -8.126161332398177051328184604237057975154642800593274318357692e-09, + 2.063790114950702612059895249532033343340137201326403800942906e-09, + 1.385901944573589656765876273409079665095347609123824623959651e-09, + -2.957224178853409095488876110988057035662351440629962056952036e-10, + -2.029311934113340193298299122766339237347606272015477168851847e-10, + 3.571772829282367453820656456837216050596922160503361259637188e-11, + 2.499410377682389724091314347623318996671569127462013112818877e-11, + -3.534890218851825710748828088218388133415831376956616696797412e-12, + -2.517884527624136958659745558559312992706644927689162729125510e-12, + 2.751761925220381284379520354168022844435052022760463778480642e-13, + 1.992032170370043447922955009924406643179442598661368210363579e-13, + -1.579660989452381199649841550208895174521301273998672860864606e-14, + -1.160591617584672995112625842000957667465588057411636690187883e-14, + 5.944365969270122882900608066221185975352672745351687370149379e-16, + 4.427175531427877551269875594300908130209116956704562714053338e-16, + -1.099853008896742180355036418837212161914020836623592509294684e-17, + -8.294635939298345162821665414627459859677158780165562383375210e-18 +}; + +static const double coif14[84] = { + 4.393123283287643046743977676392679809833123671791969857529554e-10, + -5.740995333980705032482946798804467194492616738218164095035288e-10, + -1.248927009234748737577807595315202881486499763243765085950971e-08, + 1.668938708534669081372944925855130859570883667030296283192275e-08, + 1.714224718466457012729254240886670886351889068326223437908249e-07, + -2.350888489707823711598280869672645467891128086655653747378426e-07, + -1.512829449512444398231569819651340325454203862764615475827846e-06, + 2.138843028494803759906484297432258680083063727505990520765838e-06, + 9.645189410175859129875925155219070194081512175741287765540858e-06, + -1.413900766434184664705667161036292966126778120705989526301092e-05, + -4.732386374886606069931596084808261069441902397080602834581236e-05, + 7.246665915416318653041426061722482786676878913517175624718883e-05, + 1.858717516638060924675018895058421783537325657288962327083514e-04, + -3.002639346667087045056450058456524356780635529605230858304448e-04, + -6.001981648119978322839905692747076742955350870879313864711891e-04, + 1.036704424281183769332139455241059670502046121189437350622494e-03, + 1.624019729102622430009407806264396637075700567293622239292888e-03, + -3.056866654227471285910973139305702040302592610826831936007958e-03, + -3.734374338375411359548223317593068662165508326760318658468879e-03, + 7.878974156362307531137246310651783340668870035859860685992973e-03, + 7.375794892775370758210034597418329565084392014608514718594919e-03, + -1.824112316356241062692741179162085194558935295694349102012547e-02, + -1.261644961352131486551701382111180567640901225706461078977920e-02, + 3.957213740580164637883912093052435411100033612855489943952285e-02, + 1.881013375897047936537530404984248905528105177371268733601760e-02, + -8.848531745012440411869086432922856738256941097681738588710806e-02, + -2.456831883802970358635588048610460583666496666472048714250036e-02, + 3.099141258514769597675719014297798938256245460277150903434604e-01, + 5.282263993480420420172683726700426615634588134049161997619639e-01, + 3.163176118910136471847844244749096048202155473691440639981631e-01, + -2.862162705070505721847062425772578719710517153178747344517326e-02, + -9.456098562568806415195259578154116428430268415200065101526812e-02, + 2.569051606124748855707310139514692975138855764331441058027644e-02, + 4.500466183802795354926526381495033532360504829689303112753676e-02, + -2.047021532120584933449635791950977974026461349249053431599797e-02, + -2.277014831481950414178652294664971699995306130850012029895679e-02, + 1.452361964346076643465698934593935628651549016326324569145137e-02, + 1.136128541937039082819287050631790459539185066230834792169280e-02, + -9.209420947381265408066732190659507079985769827890316211408732e-03, + -5.504969422021670816364481890406139436891358063842746391250159e-03, + 5.243747074749862954985821475569406094355637198674133818712452e-03, + 2.601674598427237622587421382305601947017094209097298433834035e-03, + -2.697275841549192002303803931030430917736443859609363181433549e-03, + -1.207776471356184889908600913725134183482141825908028112001291e-03, + 1.262622737054852256202461193382270265994430106051249583099008e-03, + 5.499311966045329956589364039445100979613421696316486920186038e-04, + -5.422272627380624698839955658312215512244309349484916450185708e-04, + -2.425184361340171436100075350681685661504913784969748899389596e-04, + 2.152149496400025476355694208172147853936641059086477755698365e-04, + 1.017555903218396117566574602158457196612571864784370737617320e-04, + -7.935125388684553688655161870002244461407761128159434896618062e-05, + -3.998277597219932662226493843559158394980004861650575475073792e-05, + 2.721796546580936689236981518793293817082739932936290854597108e-05, + 1.455457611510765292828084081835640403374221862390765492386559e-05, + -8.665251169633984802148726995857663363842070697439942022312573e-06, + -4.876002876304524386897822246961544519628259634511055566637692e-06, + 2.547630497377554690874245620888763103208548188356120375663417e-06, + 1.496291521165122830795751824395745883743697658779928306182602e-06, + -6.871963182955767930114979093149987762546939511820085867823395e-07, + -4.186054213338905216716743937485713975287167010801084873077525e-07, + 1.688323085510447043387946782295494719025294305992339556134599e-07, + 1.061608664532340347260400721455574451686604605297267706650340e-07, + -3.748126052504886126462262044258726754387739289902914735975186e-08, + -2.423790421295234792457591882318039900764790491363232906013318e-08, + 7.451944128021296384873848910815562162615603046168848323657834e-09, + 4.940829113027976152032509192714512864500880531926251999539656e-09, + -1.313004290651891746787587770064129324937346786322188934177725e-09, + -8.903006190166202390134120838864396696475015840820998020804486e-10, + 2.024339408983577773846670331538285833569817328592031229378977e-10, + 1.400716332649913272902011493738096845560270049348128272163217e-10, + -2.687843639588594104182180535839092397502172743578767496300069e-11, + -1.894326416951989057103502558801200560928286148276804817046860e-11, + 3.010449065125004813763195657162392547592377042598795440577733e-12, + 2.157549110009031291962129877779262524544188824969196959112637e-12, + -2.765131213310687469788780767616475716770096486689988092675382e-13, + -2.012365100006663638325338350119352463903184738855668161185981e-13, + 1.999559651890099694974046277400337493312467655228527142562129e-14, + 1.475855904098499257323658940826580143845487753742438097885182e-14, + -1.067284385873308952698526062594338734883390319779112369515680e-15, + -7.980454732861187078908378609623987154745352892645906516335706e-16, + 3.737960558513592434172838302437103561627990707012528832920768e-17, + 2.828736827706445597408742152789813333751511825684331285246309e-17, + -6.443221017103948534696419228196665121335677484790396728190832e-19, + -4.930480277882556230626331748820167974609092329853622801401922e-19 +}; + +static const double coif15[90] = { + -1.077388305690034925568519317607342584913833777614742512289616e-10, + 1.389587596342677833974329883522061230029685955993897881938371e-10, + 3.279393998194510988634872448273529681786105568152537128188232e-09, + -4.314917428064750425742001408005222171763816486950620059656063e-09, + -4.830480955281757774084367520164529040833872636548135345926328e-08, + 6.503442589750190197880818956936279316947206899423481669747179e-08, + 4.586202226530976939526210331832939590139698224375343383858299e-07, + -6.341483528169214053400193756836695190022413814118163945498651e-07, + -3.153995479916402549978249764513192992770609509053150015780527e-06, + 4.499804120432346419024095680248633407936442025574963153980269e-06, + 1.673949137596284707730217911852880032270066826000466620282769e-05, + -2.478673953689472562808496884430051456931244781632393118270780e-05, + -7.133403721727709318079068467834164023289442323885459167236538e-05, + 1.104625554161070296128803495762953054143520115043831806016786e-04, + 2.507269022498110858235302333943956572610456366436693548255909e-04, + -4.101297424840067893342949874400724512592760895309517943587399e-04, + -7.410047143677847135223722282750946641042780322618912256742384e-04, + 1.298007949810447142342589176001928848518589813981439840532480e-03, + 1.868002036616641522111287518387513439361411763383193116215989e-03, + -3.572228252449254403963990114096416980805538949675814075573840e-03, + -4.060845546989816000749383711188465103702344678606463573419343e-03, + 8.722973601634679156834244798678586473379340842447624760010613e-03, + 7.677632624610885216379589736677645849428563543670856456892832e-03, + -1.937998629272623327245351651340032378963145895629830248355253e-02, + -1.270912987080621205738379925710726654478701862241529402092432e-02, + 4.080738066060462170763876758586958836909785300855426384151542e-02, + 1.851809057592325149969383820293931082576986760496903450942510e-02, + -8.948849897626424781521688387105939501138967888885573845565360e-02, + -2.385247670399674430387895964623311594722573671400958395974253e-02, + 3.103664257008206645231191613171869470278587854279025003466673e-01, + 5.272557364814477983716848071901714167787737772153872785679251e-01, + 3.165587650075045121866443592930838541058283366878004666876859e-01, + -2.771191753156204367193336798361266628380497625857187392479985e-02, + -9.538675074777090841664081647061476726485316724852952970342536e-02, + 2.513756235583785139515577768765056710377747798734684870047976e-02, + 4.612595054152007266785799039333521785448817048938105661049367e-02, + -2.039697130032260717744814776948275153234836586193746022325595e-02, + -2.387610261602642412532087773123245712932154519493636933580111e-02, + 1.484665336652742504720315601481410278546028124094856659564326e-02, + 1.225045078722903548958708772567092776061773279630721958212731e-02, + -9.727026988684677132100204448228164919286050721340500899358847e-03, + -6.119790408666201569472108881793143052368912545364690258267249e-03, + 5.760546284765569349029577236247005441326471924211526110831333e-03, + 2.982639689783411796793051935450475228274526754982054792962250e-03, + -3.100326747810698908670357861857946527442099277807566353764288e-03, + -1.427598950056448560388339550760364489836477975524209634886824e-03, + 1.526288902864820487351136408213978592286541943096968601069530e-03, + 6.716807141163574375155812673929624759515069203426478824767004e-04, + -6.923091961922026215168169239588952998971619503794813547976866e-04, + -3.079753690537485675760336348529151045406687032785607559287851e-04, + 2.913765589242728312575501892839254155123375897451413662654452e-04, + 1.355892883935182989877008830272296210763299728475431240359051e-04, + -1.144136457600174453829439526659056859019745676077854858593439e-04, + -5.647366526527395256230283878165734782055526539079541637152500e-05, + 4.202814469137045804231920127700407277374824908280103138814183e-05, + 2.200691925199183606470694553320593703444346894670462898724267e-05, + -1.443487126829503983751150823245149445739823542713233210642676e-05, + -7.967044068720793687142187645523516573594381036006224439668751e-06, + 4.620529572512414091638085200280358471196525782083614164517925e-06, + 2.667271171141226202145908685103109359180536100787642097511661e-06, + -1.371646007677255108283723404199936479217347063529498435611186e-06, + -8.226257775777933787075210506019317042435483731184419620540542e-07, + 3.754707488446600189267042303254271529522879725934705336303128e-07, + 2.327460534735607792375886758810039203536663498026314128685740e-07, + -9.419176207630012538547307468277369699399418776908683708933552e-08, + -6.010901363192621272223652431192551853015388169886067903126279e-08, + 2.151040529867103646106333296464104096442766675831068812680466e-08, + 1.408663721444152455727196509866657267275259238167897249854527e-08, + -4.438471764420978016551707826632529934591397495469950610230150e-09, + -2.974872318653716789002892729632634360902192191395110942422961e-09, + 8.203736354629479986724051586473684219941281670765722417668819e-10, + 5.614906982011763291961026759329761169245818883997411717426871e-10, + -1.344369082215606926514414754427875310059984578418456061162278e-10, + -9.377858898150921640144384471918102613403240839501295781875527e-11, + 1.928845257086926701816336874687366534718638777936590534635229e-11, + 1.369011182657074022662376575505428888871791726174235399548870e-11, + -2.384934840461770473688929159579828219691317417791483110727798e-12, + -1.719778967631011393923929779685944798509748321140853638527672e-12, + 2.489379237039083598560573205355055108535626207998662168681925e-13, + 1.821429711569697474507499816102915339752696477298299745504329e-13, + -2.132622020734041001406592439010728287329439597809749096351270e-14, + -1.581480392919139876757416822279485491215786823105416373080481e-14, + 1.439584163156225165032712921349710482363055530913169445190637e-15, + 1.080870877608085873106724565550332487149959687560803170944524e-15, + -7.178988398852581130761463819471838970960348029733518906208378e-17, + -5.452456075593213060858973182314766684639894698667113525487884e-17, + 2.351146114661327422889598894161189162646924206890382575430334e-18, + 1.804873032260938513483901979969512893697634895683128101624000e-18, + -3.793093840880643734719632714511071568608235299231836638122279e-20, + -2.940897685979289093951754752537580047693528343881245635936847e-20 +}; + +static const double coif16[96] = { + 2.645128227931334401194749017856094903839224759604187535975348e-11, + -3.371203198492327805593180795398582247961552853458158404332701e-11, + -8.582602955015851169989985547605915833769704579350018283905453e-10, + 1.113682743874024896922872631560006089322116513037553196433140e-09, + 1.350357555669007302187662129540475982947984508250679168402207e-08, + -1.788542662216945768696335511240007863403120034978963421466759e-08, + -1.372399767643349435868829666738563944471884881660198607643932e-07, + 1.861142798232072777457875152815716474831537306031011659394987e-07, + 1.012632916853084889127303847166996705778109099232881893357767e-06, + -1.411391218929900871875409836854758822959995175269209988265964e-06, + -5.780354906513060544090253238716694637224354416047278875195167e-06, + 8.319552925349192408642980463945086193729912325909182155797371e-06, + 2.656172937335282438452193694808438866757101525885555802877363e-05, + -3.971488503705784806195172735954055483778562353132473949420383e-05, + -1.009502477694915360037551527344779468467449497309371492607906e-04, + 1.580205984850860534574382720595384850826996029171338643269624e-04, + 3.235585956460851636390368611428001979093146497993005344305241e-04, + -5.356766020478135601304959841352994036589791570941083598445719e-04, + -8.873556546319179065472262621811119401586608437112185894641021e-04, + 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3.167685981610576430160454114053628826549777499820093838585069e-01, + -2.688002764399130975457186260346246083982252335484396969696049e-02, + -9.611413622779535731607299381683923415585409438866982806312433e-02, + 2.460702264184366170433044783596672126378075093050623290409127e-02, + 4.712982774514209557951414612253477983062538454664569371378627e-02, + -2.028535796367687397692592233666898932654122251735124185611584e-02, + -2.488947090480479804467455088466028171550905433401327138474797e-02, + 1.509891466100476055081827485608676509355525843509560496666700e-02, + 1.308946215944044192535019406077351673456069366724670016932535e-02, + -1.017883680802027111277390598900318783317279547588070199634251e-02, + -6.719748071003458935775571012030544444136724430402220957162335e-03, + 6.238935489467385921022852560870393671940489207452244538094472e-03, + 3.367468902298941859370206452925695206983662336670801038560071e-03, + -3.493551700182803646132263836442232208288107750606295145197587e-03, + 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4.381753178661449645296516382515863584261691809111376008934184e-06, + -2.482767124382555232483399147672417058164552715497813674691440e-06, + -1.466343698163771614780524818641106403735083198445173705132776e-06, + 7.432014174835368770981871416234950435655553162638884480980583e-07, + 4.542989331759269644535718413196051785388101460827659003970839e-07, + -2.060699879933986058206760300398806699720723820737944360367781e-07, + -1.298170865048347187816076578378402307087125075336611133383038e-07, + 5.264581641375993977610164728920521257086259803613235153366270e-08, + 3.406393391619068289195417747073909213446800676676765817676367e-08, + -1.232185691522856953729451450757280208371851915642712294292861e-08, + -8.166093443152050070015881861916421702970930717440939870025784e-09, + 2.625409011502555900921203294713520941212542142978903897341494e-09, + 1.777971486566651937150629742259638331676290922471013840418127e-09, + -5.055670327267217324394512474432436609546961385665820073629149e-10, + -3.491603047784209234885018449563067499142505674739795662842523e-10, + 8.724442027269310202793317644100398216549268990858642429012803e-11, + 6.134056646089015827615754897419277972739575045939973674430929e-11, + -1.335550933533140093069772884082926341856038121300357216420744e-11, + -9.545001301055681232254913151946668780573427381542116387716243e-12, + 1.791132091052570705585609717173338686203233385162086497884597e-12, + 1.299479612944140546458425080979636378248568664374156541007765e-12, + -2.071542478174027600308270770710599707024301130761618879837078e-13, + -1.523876419589572596433135600175398293765409391592690642809664e-13, + 2.024011564013098795384504309899456379953546444981404140928647e-14, + 1.508090533430543564179721448102668377867975040540446828012097e-14, + -1.624316869855319846554453444493486257563508484962017834581348e-15, + -1.224719779181149805165600696876308523367619824015832031858679e-15, + 1.027939569018525333323110570745538777072560620646729968488678e-16, + 7.836461641294003176782800892601140107677607857155479918585838e-17, + -4.809623970748619654544928861639842603928203458148585584400867e-18, + -3.704428468500691125388142845245956973807333959654959653370468e-18, + 1.479077310414365270465857340835402997778146774718460154867300e-19, + 1.150168591577669048697174066699145993471476194503387272230234e-19, + -2.242407694525583556140058750006128491924916204038852290292985e-21, + -1.759447752651847364048938898264828071373418617420955762135442e-21 + +}; +static const double coif17[102] = { + -6.500464389707599365209386548586351053892021378458138653304423e-12, + 8.195092532207287031929315133511822259455558174314608981943899e-12, + 2.239711179183031212893330219097909418305437894719629936823048e-10, + -2.869947756536888954496920486027606890198732779175975385193469e-10, + -3.748652869247186892176371615982066497362408141014325378716294e-09, + 4.892949218890121214706505923918329440794016605904313473814529e-09, + 4.060535996907768482760233032378242455655290824022613838518523e-08, + -5.412800273268200651966255945372126329232373624996043338727765e-08, + -3.199646878369895994575449942065193991181771279589753273012370e-07, + 4.369727725871308893880916467851990680716049438182815833632030e-07, + 1.954675426993304663744299195821942913722501797065421760283585e-06, + -2.745513146733188764932399232387671708256227137296795085887882e-06, + -9.634412972188383779747780077033215938910939748761965263335434e-06, + 1.398510128440620079969365258470536422184684456048432702271769e-05, + 3.936982972446342694180294131275967364969863087882012583523302e-05, + -5.942171285371293607280496067664382735077180061970981330506268e-05, + -1.360187671549120330733322490500505609713066081377747046659631e-04, + 2.151477677680517385918241110555023784071910115637214853600854e-04, + 4.031846985142799308758422861627631567915210555326501592195629e-04, + -6.753056524717059857256997400254135291064617085196739372670596e-04, + -1.037019038482154436516186769361377053347840390147975287354903e-03, + 1.865278399043969526599364729851177613810456808562792176901007e-03, + 2.335092479166843852619505691860960037151295448017402395490464e-03, + -4.600362410545124310128593731153519957157915045164845600048444e-03, + -4.635901516367530468266774633995064938864595165304482662269926e-03, + 1.029849878093488912016135237127927932437021681117450333050470e-02, + 8.161354844742695166287867590528306934013230497272094086439853e-03, + -2.140083454707180990471957764441619892415141666259178396074188e-02, + -1.280013066407215003063560801494039614508212222821778081264683e-02, + 4.292055861596262214973257156936151304056714777314126061614130e-02, + 1.795390690266262592020002418739607395852481356276768335967618e-02, + -9.116513012907441746922273129338011409075492893988681588200024e-02, + -2.259372514218996220695158554614204610976204851195489170219594e-02, + 3.111155431954246180810318298644662465180042749292370227009409e-01, + 5.255791920096491971882691260862499824764740619924123678110320e-01, + 3.169526419329032746356987532605638232939637480462148442295005e-01, + -2.611571666365402171510563042119336240297149649416458785911946e-02, + -9.675954853667507935197631998670465823029201914294383672129969e-02, + 2.409947009460623399471523812196780471148876929014194101062573e-02, + 4.803353218498044015416060073004473385881416575908077296603559e-02, + -2.014561229992014297122142514992242081365435497050595479226927e-02, + -2.582061660161950684110954569039206647948969052599286532681994e-02, + 1.529272640253308240084109219531756056459883643674183337274434e-02, + 1.388071397467832912373059115868453151221079623138136285750566e-02, + -1.057221105345110246802817506341466648095287774314054180322389e-02, + -7.302762653438232901227689142950547329538140829539078289487808e-03, + 6.679525479155670944534388145244600799904556867195771509687913e-03, + 3.753327910175261617061638983698597354605196849112621375976962e-03, + -3.873502044238494209221075063035775273773018743760471430473527e-03, + -1.893732606269440797293869629956889668362203362383552157238979e-03, + 2.072543024867895178559272835210161485056077281253166510139696e-03, + 9.410418747008923962829724903349867736584130840706583199324136e-04, + -1.029236208596613388068225340603899734435060101885503041426292e-03, + -4.591014336769466560134513688989777037625141817691452272446129e-04, + 4.773008760819621131157362935521176506345390013016953367673484e-04, + 2.178204082961996755621953357319268908714183698410765755733914e-04, + -2.078309675413889310430737904787028903664009273165646558840663e-04, + -9.929997042562200063281249722482587882228792457135570086630464e-05, + 8.530214005775875557344845401830936434184861259249422544962929e-05, + 4.303127018338600126871147843984523103940762542407178890295340e-05, + -3.305701987257830145946843240723975476098534205446659095902282e-05, + -1.758829650866963971776918784161632040379719078606077372721020e-05, + 1.208769577843697327040603409274814451217826643812352568992268e-05, + 6.746467675120962867147670937319739759733836479700116679771234e-06, + -4.160355187316342019270990597595419877216228873682832991804769e-06, + -2.420254904648915254014955740890841226083885744291947005091657e-06, + 1.342994249603250343064678689811024077753583828488987218045940e-06, + 8.097294554089061667504430331210249043842934823174097650144144e-07, + -4.049444940788524829884048775715404594466969342774847971126013e-07, + -2.518965167469206882003809454171378587968607051431751373150446e-07, + 1.135553617795151208855033374367694728763504841965654332076720e-07, + 7.261651917558697862566637161896385928154192436065001744633099e-08, + -2.947980283978599533805321526934370923141985995773718687989809e-08, + -1.932361910368835906234029388933678481624943182582035193495632e-08, + 7.050321193690929766855893625237523724477327743751448148520006e-09, + 4.725540898626838453733797773219853119997567959454100093653807e-09, + -1.544890271654104814899353348226128082357337920194464818206503e-09, + -1.056616142600432792887732860128652200494175165768667682069691e-09, + 3.082594659999300699574359679210901640096775130739951087627160e-10, + 2.147504833829198392113195006888709994262573995228896673552773e-10, + -5.561286894620042086964943668161558452409502342704415471486767e-11, + -3.940143496183440249847057247704879900653366187527397859030185e-11, + 8.995643580413385770110048797179920790859544777777746910312038e-12, + 6.472787221353141291937900214024339897450801045313739690950453e-12, + -1.291529680835762905157565016413333440330657604408304192114484e-12, + -9.426669651972276882689445158605509492502686267040217113580068e-13, + 1.625527264466347733962941488626801955710436180523082414371005e-13, + 1.202192377372031845627082725619201334357843245869818759928528e-13, + -1.765518459644471564018808330096255160185888800253188548281582e-14, + -1.321779015475951542862804164493083633990380882447565336832597e-14, + 1.621075287427611093636143991429535087675201571842337901672180e-15, + 1.227498087932053340876125326218310922521150243946862677354389e-15, + -1.223432402366205698930334886661193082730379267225732134795174e-16, + -9.362464931639200345906241184043712676525956780242932081695469e-17, + 7.286307451400376946525901096753718888478670661483802452725131e-18, + 5.631244920089436674573794405513798919334447045845529038034991e-18, + -3.210669220728058803342344742726907080377349121830123276313938e-19, + -2.504389307995414770751414118526232971373346964470499339128194e-19, + 9.305380936099856808127703965979897197171695480831630403884988e-21, + 7.321457794081650002123376485818067154029026613875178979778160e-21, + -1.330546671429478643380151195298922795778536160301584472334406e-22, + -1.055408614665356789775787814731337905514088897800715301399902e-22 +}; + + +static const double sym2[4] = { + 0.48296291314469025, 0.83651630373746899, + 0.22414386804185735, -0.12940952255092145 }; + + +static const double sym3[6] = { + 0.33267055295095688, 0.80689150931333875, + 0.45987750211933132, -0.13501102001039084, + -0.085441273882241486, 0.035226291882100656 }; + +static const double sym4[8] = { + 0.032223100604042702, -0.012603967262037833, + -0.099219543576847216, 0.29785779560527736, + 0.80373875180591614, 0.49761866763201545, + -0.02963552764599851, -0.075765714789273325 }; + +static const double sym5[10] = { + 0.019538882735286728, -0.021101834024758855, + -0.17532808990845047, 0.016602105764522319, + 0.63397896345821192, 0.72340769040242059, + 0.1993975339773936, -0.039134249302383094, + 0.029519490925774643, 0.027333068345077982 }; + +static const double sym6[12] = { + -0.007800708325034148, 0.0017677118642428036, + 0.044724901770665779, -0.021060292512300564, + -0.072637522786462516, 0.3379294217276218, + 0.787641141030194, 0.49105594192674662, + -0.048311742585632998, -0.11799011114819057, + 0.0034907120842174702, 0.015404109327027373 }; + +static const double sym7[14] = { + 0.010268176708511255, 0.0040102448715336634, + -0.10780823770381774, -0.14004724044296152, + 0.28862963175151463, 0.76776431700316405, + 0.5361019170917628, 0.017441255086855827, + -0.049552834937127255, 0.067892693501372697, + 0.03051551316596357, -0.01263630340325193, + -0.0010473848886829163, 0.0026818145682578781 }; + +static const double sym8[16] = { + 0.0018899503327594609, -0.0003029205147213668, + -0.014952258337048231, 0.0038087520138906151, + 0.049137179673607506, -0.027219029917056003, + -0.051945838107709037, 0.3644418948353314, + 0.77718575170052351, 0.48135965125837221, + -0.061273359067658524, -0.14329423835080971, + 0.0076074873249176054, 0.031695087811492981, + -0.00054213233179114812, -0.0033824159510061256 }; + +static const double sym9[18] = { + 0.0010694900329086053, -0.00047315449868008311, + -0.010264064027633142, 0.0088592674934004842, + 0.06207778930288603, -0.018233770779395985, + -0.19155083129728512, 0.035272488035271894, + 0.61733844914093583, 0.717897082764412, + 0.238760914607303, -0.054568958430834071, + 0.00058346274612580684, 0.03022487885827568, + -0.01152821020767923, -0.013271967781817119, + 0.00061978088898558676, 0.0014009155259146807 }; + +static const double sym10[20] = { + -0.00045932942100465878, 5.7036083618494284e-005, + 0.0045931735853118284, -0.00080435893201654491, + -0.02035493981231129, 0.0057649120335819086, + 0.049994972077376687, -0.0319900568824278, + -0.035536740473817552, 0.38382676106708546, + 0.7695100370211071, 0.47169066693843925, + -0.070880535783243853, -0.15949427888491757, + 0.011609893903711381, 0.045927239231092203, + -0.0014653825813050513, -0.0086412992770224222, + 9.5632670722894754e-005, 0.00077015980911449011 }; + +static const double sym11[22] = { + 0.00048926361026192387, 0.00011053509764272153, + -0.0063896036664548919, -0.0020034719001093887, + 0.043000190681552281, 0.035266759564466552, + -0.14460234370531561, -0.2046547944958006, + 0.23768990904924897, 0.73034354908839572, + 0.57202297801008706, 0.097198394458909473, + -0.022832651022562687, 0.069976799610734136, + 0.0370374159788594, -0.024080841595864003, + -0.0098579348287897942, 0.0065124956747714497, + 0.00058835273539699145, -0.0017343662672978692, + -3.8795655736158566e-005, 0.00017172195069934854 }; + +static const double sym12[24] = { + -0.00017906658697508691, -1.8158078862617515e-005, + 0.0023502976141834648, 0.00030764779631059454, + -0.014589836449234145, -0.0026043910313322326, + 0.057804179445505657, 0.01530174062247884, + -0.17037069723886492, -0.07833262231634322, + 0.46274103121927235, 0.76347909778365719, + 0.39888597239022, -0.022162306170337816, + -0.035848830736954392, 0.049179318299660837, + 0.0075537806116804775, -0.024220722675013445, + -0.0014089092443297553, 0.007414965517654251, + 0.00018021409008538188, -0.0013497557555715387, + -1.1353928041541452e-005, 0.00011196719424656033 }; + +static const double sym13[26] = { + 7.0429866906944016e-005, 3.6905373423196241e-005, + -0.0007213643851362283, 0.00041326119884196064, + 0.0056748537601224395, -0.0014924472742598532, + -0.020749686325515677, 0.017618296880653084, + 0.092926030899137119, 0.0088197576704205465, + -0.14049009311363403, 0.11023022302137217, + 0.64456438390118564, 0.69573915056149638, + 0.19770481877117801, -0.12436246075153011, + -0.059750627717943698, 0.013862497435849205, + -0.017211642726299048, -0.02021676813338983, + 0.0052963597387250252, 0.0075262253899680996, + -0.00017094285853022211, -0.0011360634389281183, + -3.5738623648689009e-005, 6.8203252630753188e-005 }; + +static const double sym14[28] = { + 4.4618977991475265e-005, 1.9329016965523917e-005, + -0.00060576018246643346, -7.3214213567023991e-005, + 0.0045326774719456481, 0.0010131419871842082, + -0.019439314263626713, -0.0023650488367403851, + 0.069827616361807551, 0.025898587531046669, + -0.15999741114652205, -0.058111823317717831, + 0.47533576263420663, 0.75997624196109093, + 0.39320152196208885, -0.035318112114979733, + -0.057634498351326995, 0.037433088362853452, + 0.0042805204990193782, -0.029196217764038187, + -0.0027537747912240711, 0.010037693717672269, + 0.00036647657366011829, -0.002579441725933078, + -6.2865424814776362e-005, 0.00039843567297594335, + 1.1210865808890361e-005, -2.5879090265397886e-005 }; + +static const double sym15[30] = { + 2.8660708525318081e-005, 2.1717890150778919e-005, + -0.00040216853760293483, -0.00010815440168545525, + 0.003481028737064895, 0.0015261382781819983, + -0.017171252781638731, -0.0087447888864779517, + 0.067969829044879179, 0.068393310060480245, + -0.13405629845625389, -0.1966263587662373, + 0.2439627054321663, 0.72184302963618119, + 0.57864041521503451, 0.11153369514261872, + -0.04108266663538248, 0.040735479696810677, + 0.021937642719753955, -0.038876716876833493, + -0.019405011430934468, 0.010079977087905669, + 0.003423450736351241, -0.0035901654473726417, + -0.00026731644647180568, 0.0010705672194623959, + 5.5122547855586653e-005, -0.00016066186637495343, + -7.3596667989194696e-006, 9.7124197379633478e-006 }; + +static const double sym16[32] = { + -1.0797982104319795e-005, -5.3964831793152419e-006, + 0.00016545679579108483, 3.656592483348223e-005, + -0.0013387206066921965, -0.00022211647621176323, + 0.0069377611308027096, 0.001359844742484172, + -0.024952758046290123, -0.0035102750683740089, + 0.078037852903419913, 0.03072113906330156, + -0.15959219218520598, -0.054040601387606135, + 0.47534280601152273, 0.75652498787569711, + 0.39712293362064416, -0.034574228416972504, + -0.066983049070217779, 0.032333091610663785, + 0.0048692744049046071, -0.031051202843553064, + -0.0031265171722710075, 0.012666731659857348, + 0.00071821197883178923, -0.0038809122526038786, + -0.0001084456223089688, 0.00085235471080470952, + 2.8078582128442894e-005, -0.00010943147929529757, + -3.1135564076219692e-006, 6.2300067012207606e-006 }; + +static const double sym17[34] = { + 3.7912531943321266e-006, -2.4527163425832999e-006, + -7.6071244056051285e-005, 2.5207933140828779e-005, + 0.0007198270642148971, 5.8400428694052584e-005, + -0.0039323252797979023, -0.0019054076898526659, + 0.012396988366648726, 0.0099529825235095976, + -0.01803889724191924, -0.0072616347509287674, + 0.016158808725919346, -0.086070874720733381, + -0.15507600534974825, 0.18053958458111286, + 0.68148899534492502, 0.65071662920454565, + 0.14239835041467819, -0.11856693261143636, + 0.0172711782105185, 0.10475461484223211, + 0.017903952214341119, -0.033291383492359328, + -0.0048192128031761478, 0.010482366933031529, + 0.0008567700701915741, -0.0027416759756816018, + -0.00013864230268045499, 0.0004759963802638669, + -1.3506383399901165e-005, -6.2937025975541919e-005, + 2.7801266938414138e-006, 4.297343327345983e-006 }; + +static const double sym18[36] = { + -1.5131530692371587e-006, 7.8472980558317646e-007, + 2.9557437620930811e-005, -9.858816030140058e-006, + -0.00026583011024241041, 4.7416145183736671e-005, + 0.0014280863270832796, -0.00018877623940755607, + -0.0052397896830266083, 0.0010877847895956929, + 0.015012356344250213, -0.0032607442000749834, + -0.031712684731814537, 0.0062779445543116943, + 0.028529597039037808, -0.073799207290607169, + -0.032480573290138676, 0.40148386057061813, + 0.75362914010179283, 0.47396905989393956, + -0.052029158983952786, -0.15993814866932407, + 0.033995667103947358, 0.084219929970386548, + -0.0050770851607570529, -0.030325091089369604, + 0.0016429863972782159, 0.0095021643909623654, + -0.00041152110923597756, -0.0023138718145060992, + 7.0212734590362685e-005, 0.00039616840638254753, + -1.4020992577726755e-005, -4.5246757874949856e-005, + 1.354915761832114e-006, 2.6126125564836423e-006 }; + +static const double sym19[38] = { + 1.7509367995348687e-006, 2.0623170632395688e-006, + -2.8151138661550245e-005, -1.6821387029373716e-005, + 0.00027621877685734072, 0.00012930767650701415, + -0.0017049602611649971, -0.00061792232779831076, + 0.0082622369555282547, 0.0043193518748949689, + -0.027709896931311252, -0.016908234861345205, + 0.084072676279245043, 0.093630843415897141, + -0.11624173010739675, -0.17659686625203097, + 0.25826616923728363, 0.71955552571639425, + 0.57814494533860505, 0.10902582508127781, + -0.067525058040294086, 0.0089545911730436242, + 0.0070155738571741596, -0.046635983534938946, + -0.022651993378245951, 0.015797439295674631, + 0.0079684383206133063, -0.005122205002583014, + -0.0011607032572062486, 0.0021214250281823303, + 0.00015915804768084938, -0.00063576451500433403, + -4.6120396002105868e-005, 0.0001155392333357879, + 8.8733121737292863e-006, -1.1880518269823984e-005, + -6.4636513033459633e-007, 5.4877327682158382e-007 }; + +static const double sym20[40] = { + -6.3291290447763946e-007, -3.2567026420174407e-007, + 1.22872527779612e-005, 4.5254222091516362e-006, + -0.00011739133516291466, -2.6615550335516086e-005, + 0.00074761085978205719, 0.00012544091723067259, + -0.0034716478028440734, -0.0006111263857992088, + 0.012157040948785737, 0.0019385970672402002, + -0.035373336756604236, -0.0068437019650692274, + 0.088919668028199561, 0.036250951653933078, + -0.16057829841525254, -0.051088342921067398, + 0.47199147510148703, 0.75116272842273002, + 0.40583144434845059, -0.029819368880333728, + -0.078994344928398158, 0.025579349509413946, + 0.0081232283560096815, -0.031629437144957966, + -0.0033138573836233591, 0.017004049023390339, + 0.0014230873594621453, -0.0066065857990888609, + -0.0003052628317957281, 0.0020889947081901982, + 7.2159911880740349e-005, -0.00049473109156726548, + -1.928412300645204e-005, 7.992967835772481e-005, + 3.0256660627369661e-006, -7.919361411976999e-006, + -1.9015675890554106e-007, 3.695537474835221e-007 }; + + +static const double h1[10] = { 0.0, 0.0, 0.0, 0.0, +0.70710678118654752440084436210, +0.70710678118654752440084436210, +0.0, 0.0, 0.0, 0.0 }; + +static const double hm1_11[2] = { 0.70710678118654752440084436210, +0.70710678118654752440084436210 }; + +static const double hm1_13[6] = { -0.0883883476483184405501055452631, +0.0883883476483184405501055452631, +0.70710678118654752440084436210, +0.70710678118654752440084436210, +0.0883883476483184405501055452631, +-0.0883883476483184405501055452631 }; + +static const double hm1_15[10] = { 0.0165728151840597076031447897368, +-0.0165728151840597076031447897368, +-0.1215339780164378557563951247368, +0.1215339780164378557563951247368, +0.70710678118654752440084436210, +0.70710678118654752440084436210, +0.1215339780164378557563951247368, +-0.1215339780164378557563951247368, +-0.0165728151840597076031447897368, +0.0165728151840597076031447897368 }; + + +static const double h2[18] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, +0.3535533905932737622004221810524, +0.7071067811865475244008443621048, +0.3535533905932737622004221810524, +0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, +0.0 }; + +static const double hm2_22[6] = { -0.1767766952966368811002110905262, +0.3535533905932737622004221810524, +1.0606601717798212866012665431573, +0.3535533905932737622004221810524, +-0.1767766952966368811002110905262, +0.0 }; + +static const double hm2_24[10] = { 0.0331456303681194152062895794737, +-0.0662912607362388304125791589473, +-0.1767766952966368811002110905262, +0.4198446513295125926130013399998, +0.9943689110435824561886873842099, +0.4198446513295125926130013399998, +-0.1767766952966368811002110905262, +-0.0662912607362388304125791589473, +0.0331456303681194152062895794737, +0.0 }; + +static const double hm2_26[14] = { -0.0069053396600248781679769957237, +0.0138106793200497563359539914474, +0.0469563096881691715422435709210, +-0.1077232986963880994204411332894, +-0.1698713556366120029322340948025, +0.4474660099696121052849093228945, +0.9667475524034829435167794013152, +0.4474660099696121052849093228945, +-0.1698713556366120029322340948025, +-0.1077232986963880994204411332894, +0.0469563096881691715422435709210, +0.0138106793200497563359539914474, +-0.0069053396600248781679769957237, +0.0 }; + +static const double hm2_28[18] = { 0.0015105430506304420992449678146, +-0.0030210861012608841984899356291, +-0.0129475118625466465649568669819, +0.0289161098263541773284036695929, +0.0529984818906909399392234421792, +-0.1349130736077360572068505539514, +-0.1638291834340902345352542235443, +0.4625714404759165262773590010400, +0.9516421218971785225243297231697, +0.4625714404759165262773590010400, +-0.1638291834340902345352542235443, +-0.1349130736077360572068505539514, +0.0529984818906909399392234421792, +0.0289161098263541773284036695929, +-0.0129475118625466465649568669819, +-0.0030210861012608841984899356291, +0.0015105430506304420992449678146, +0.0 }; + +static const double h3[20] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, +0.1767766952966368811002110905262, +0.5303300858899106433006332715786, +0.5303300858899106433006332715786, +0.1767766952966368811002110905262, +0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; +static const double hm3_31[4] = { -0.3535533905932737622004221810524, +1.0606601717798212866012665431573, +1.0606601717798212866012665431573, +-0.3535533905932737622004221810524 }; + +static const double hm3_33[8] = { 0.0662912607362388304125791589473, +-0.1988737822087164912377374768420, +-0.1546796083845572709626847042104, +0.9943689110435824561886873842099, +0.9943689110435824561886873842099, +-0.1546796083845572709626847042104, +-0.1988737822087164912377374768420, +0.0662912607362388304125791589473 }; + +static const double hm3_35[12] = { -0.0138106793200497563359539914474, +0.0414320379601492690078619743421, +0.0524805814161890740766251675000, +-0.2679271788089652729175074340788, +-0.0718155324642587329469607555263, +0.9667475524034829435167794013152, +0.9667475524034829435167794013152, +-0.0718155324642587329469607555263, +-0.2679271788089652729175074340788, +0.0524805814161890740766251675000, +0.0414320379601492690078619743421, +-0.0138106793200497563359539914474 }; + +static const double hm3_37[16] = { 0.0030210861012608841984899356291, +-0.0090632583037826525954698068873, +-0.0168317654213106405344439270765, +0.0746639850740189951912512662623, +0.0313329787073628846871956180962, +-0.3011591259228349991008967259990, +-0.0264992409453454699696117210896, +0.9516421218971785225243297231697, +0.9516421218971785225243297231697, +-0.0264992409453454699696117210896, +-0.3011591259228349991008967259990, +0.0313329787073628846871956180962, +0.0746639850740189951912512662623, +-0.0168317654213106405344439270765, +-0.0090632583037826525954698068873, +0.0030210861012608841984899356291 }; + + +static const double hm3_39[20] = { -0.0006797443727836989446602355165, +0.0020392331183510968339807065496, +0.0050603192196119810324706421788, +-0.0206189126411055346546938106687, +-0.0141127879301758447558029850103, +0.0991347824942321571990197448581, +0.0123001362694193142367090236328, +-0.3201919683607785695513833204624, +0.0020500227115698857061181706055, +0.9421257006782067372990864259380, +0.9421257006782067372990864259380, +0.0020500227115698857061181706055, +-0.3201919683607785695513833204624, +0.0123001362694193142367090236328, +0.0991347824942321571990197448581, +-0.0141127879301758447558029850103, +-0.0206189126411055346546938106687, +0.0050603192196119810324706421788, +0.0020392331183510968339807065496, +-0.0006797443727836989446602355165 }; + + +static const double h4[10] = { + 0.0, -0.064538882628697058, + -0.040689417609164058, 0.41809227322161724, + 0.7884856164055829, 0.41809227322161724, + -0.040689417609164058, -0.064538882628697058, + 0.0, 0.0 }; + +static const double hm4_44[10] = { + 0.03782845550726404, -0.023849465019556843, + -0.11062440441843718, 0.37740285561283066, + 0.85269867900889385, 0.37740285561283066, + -0.11062440441843718, -0.023849465019556843, + 0.03782845550726404, 0.0 }; + +static const double h5[12] = { + 0.013456709459118716, -0.0026949668801115071, + -0.13670658466432914, -0.093504697400938863, + 0.47680326579848425, 0.89950610974864842, + 0.47680326579848425, -0.093504697400938863, + -0.13670658466432914, -0.0026949668801115071, + 0.013456709459118716, 0.0 }; + +static const double hm5_55[12] = { + 0.0, 0.03968708834740544, + 0.0079481086372403219, -0.054463788468236907, + 0.34560528195603346, 0.73666018142821055, + 0.34560528195603346, -0.054463788468236907, + 0.0079481086372403219, 0.03968708834740544, + 0.0, 0.0 }; + +static const double h6[18] = { + 0.0, 0.0, + 0.0, 0.014426282505624435, + 0.014467504896790148, -0.078722001062628819, + -0.040367979030339923, 0.41784910915027457, + 0.75890772945365415, 0.41784910915027457, + -0.040367979030339923, -0.078722001062628819, + 0.014467504896790148, 0.014426282505624435, + 0.0, 0.0, + 0.0, 0.0 }; + +static const double hm6_68[18] = { + 0.0019088317364812906, -0.0019142861290887667, + -0.016990639867602342, 0.01193456527972926, + 0.04973290349094079, -0.077263173167204144, + -0.09405920349573646, 0.42079628460982682, + 0.82592299745840225, 0.42079628460982682, + -0.09405920349573646, -0.077263173167204144, + 0.04973290349094079, 0.01193456527972926, + -0.016990639867602342, -0.0019142861290887667, + 0.0019088317364812906, 0.0 }; + +static const double meyer[102] = { + -0.000001509740857, + 0.000001278766757, + 0.000000449585560, + -0.000002096568870, + 0.000001723223554, + 0.000000698082276, + -0.000002879408033, + 0.000002383148395, + 0.000000982515602, + -0.000004217789186, + 0.000003353501538, + 0.000001674721859, + -0.000006034501342, + 0.000004837555802, + 0.000002402288023, + -0.000009556309846, + 0.000007216527695, + 0.000004849078300, + -0.000014206928581, + 0.000010503914271, + 0.000006187580298, + -0.000024438005846, + 0.000020106387691, + 0.000014993523600, + -0.000046428764284, + 0.000032341311914, + 0.000037409665760, + -0.000102779005085, + 0.000024461956845, + 0.000149713515389, + -0.000075592870255, + -0.000139913148217, + -0.000093512893880, + 0.000161189819725, + 0.000859500213762, + -0.000578185795273, + -0.002702168733939, + 0.002194775336459, + 0.006045510596456, + -0.006386728618548, + -0.011044641900539, + 0.015250913158586, + 0.017403888210177, + -0.032094063354505, + -0.024321783959519, + 0.063667300884468, + 0.030621243943425, + -0.132696615358862, + -0.035048287390595, + 0.444095030766529, + 0.743751004903787, + 0.444095030766529, + -0.035048287390595, + -0.132696615358862, + 0.030621243943425, + 0.063667300884468, + -0.024321783959519, + -0.032094063354505, + 0.017403888210177, + 0.015250913158586, + -0.011044641900539, + -0.006386728618548, + 0.006045510596456, + 0.002194775336459, + -0.002702168733939, + -0.000578185795273, + 0.000859500213762, + 0.000161189819725, + -0.000093512893880, + -0.000139913148217, + -0.000075592870255, + 0.000149713515389, + 0.000024461956845, + -0.000102779005085, + 0.000037409665760, + 0.000032341311914, + -0.000046428764284, + 0.000014993523600, + 0.000020106387691, + -0.000024438005846, + 0.000006187580298, + 0.000010503914271, + -0.000014206928581, + 0.000004849078300, + 0.000007216527695, + -0.000009556309846, + 0.000002402288023, + 0.000004837555802, + -0.000006034501342, + 0.000001674721859, + 0.000003353501538, + -0.000004217789186, + 0.000000982515602, + 0.000002383148395, + -0.000002879408033, + 0.000000698082276, + 0.000001723223554, + -0.000002096568870, + 0.000000449585560, + 0.000001278766757, + -0.000001509740857, + 0.0}; + +int filtlength(const char* name) { + int len = strlen(name); + int i = 0; + char *new_str = NULL; + int N = 0; + if (!strcmp(name,"haar") || !strcmp(name,"db1")) { + return 2; + } + else if (len > 2 && strstr(name, "db") != NULL) + { + new_str = (char*)malloc(sizeof(char)*(len-2 + 1)); + for (i = 2; i < len + 1; i++) + new_str[i - 2] = name[i]; + + N = atoi(new_str); + free(new_str); + if (N>38) + { + printf("\n Filter Not in Database \n"); + return -1; + } + + return N * 2; + } + else if (!strcmp(name,"bior1.1")){ + return 2; + } + + else if (!strcmp(name,"bior1.3")){ + return 6; + } + + else if (!strcmp(name,"bior1.5")){ + return 10; + } + + else if (!strcmp(name,"bior2.2")){ + return 6; + } + + else if (!strcmp(name,"bior2.4")){ + return 10; + } + + else if (!strcmp(name,"bior2.6")){ + return 14; + } + else if (!strcmp(name,"bior2.8")){ + return 18; + } + + else if (!strcmp(name,"bior3.1")){ + return 4; + } + else if (!strcmp(name,"bior3.3")){ + return 8; + } + else if (!strcmp(name,"bior3.5")){ + return 12; + } + + else if (!strcmp(name,"bior3.7")){ + return 16; + } + else if (!strcmp(name,"bior3.9")){ + return 20; + } + else if (!strcmp(name,"bior4.4")){ + return 10; + } + else if (!strcmp(name,"bior5.5")){ + return 12; + } + else if (!strcmp(name,"bior6.8")){ + return 18; + } + else if (!strcmp(name, "rbior1.1")){ + return 2; + } + + else if (!strcmp(name, "rbior1.3")){ + return 6; + } + + else if (!strcmp(name, "rbior1.5")){ + return 10; + } + + else if (!strcmp(name, "rbior2.2")){ + return 6; + } + + else if (!strcmp(name, "rbior2.4")){ + return 10; + } + + else if (!strcmp(name, "rbior2.6")){ + return 14; + } + else if (!strcmp(name, "rbior2.8")){ + return 18; + } + + else if (!strcmp(name, "rbior3.1")){ + return 4; + } + else if (!strcmp(name, "rbior3.3")){ + return 8; + } + else if (!strcmp(name, "rbior3.5")){ + return 12; + } + + else if (!strcmp(name, "rbior3.7")){ + return 16; + } + else if (!strcmp(name, "rbior3.9")){ + return 20; + } + else if (!strcmp(name, "rbior4.4")){ + return 10; + } + else if (!strcmp(name, "rbior5.5")){ + return 12; + } + else if (!strcmp(name, "rbior6.8")){ + return 18; + } + else if (len > 4 && strstr(name, "coif") != NULL) + { + new_str = (char*)malloc(sizeof(char)*(len - 4 + 1)); + for (i = 4; i < len + 1; i++) + new_str[i - 4] = name[i]; + + N = atoi(new_str); + free(new_str); + if (N>17) + { + printf("\n Filter Not in Database \n"); + return -1; + } + + return N * 6; + } + else if (len > 3 && strstr(name, "sym") != NULL) + { + new_str = (char*)malloc(sizeof(char)*(len - 3 + 1)); + for (i = 3; i < len + 1; i++) + new_str[i - 3] = name[i]; + + N = atoi(new_str); + free(new_str); + if (N>20 || N < 2) + { + printf("\n Filter Not in Database \n"); + return -1; + } + + return N * 2; + } + else if (!strcmp(name, "meyer")){ + return 102; + } + else { + printf("\n Filter Not in Database \n"); + return -1; + } + +} + +void copy_reverse(const double *in, int N,double *out) +{ + int count = 0; + for (count = 0; count < N; count++) + out[count] = in[N - count - 1]; +} + +void qmf_wrev(const double *in, int N, double *out) +{ + double *sigOutTemp; + sigOutTemp = (double*)malloc(N*sizeof(double)); + + qmf_even(in, N, sigOutTemp); + copy_reverse(sigOutTemp, N, out); + + free(sigOutTemp); + return; +} + +void qmf_even(const double *in, int N,double *out) +{ + int count = 0; + for (count = 0; count < N; count++) + { + out[count] = in[N - count - 1]; + if (count % 2 != 0) + { + out[count] = -1 * out[count]; + } + } +} +void copy(const double *in, int N, double *out) +{ + int count = 0; + for (count = 0; count < N; count++) + out[count] = in[count]; +} + +int filtcoef(const char* name, double *lp1, double *hp1, double *lp2, double *hp2) { + int i = 0; + int N = filtlength(name); + if (!strcmp(name,"haar") || !strcmp(name,"db1")) { + copy_reverse(db1, N, lp1); + qmf_wrev(db1, N, hp1); + copy(db1, N, lp2); + qmf_even(db1, N, hp2); + + return N; + } + else if (!strcmp(name,"db2")){ + copy_reverse(db2, N, lp1); + qmf_wrev(db2, N, hp1); + copy(db2, N, lp2); + qmf_even(db2, N, hp2); + + return N; + } + else if (!strcmp(name,"db3")){ + copy_reverse(db3, N, lp1); + qmf_wrev(db3, N, hp1); + copy(db3, N, lp2); + qmf_even(db3, N, hp2); + + return N; + } + else if (!strcmp(name,"db4")){ + copy_reverse(db4, N, lp1); + qmf_wrev(db4, N, hp1); + copy(db4, N, lp2); + qmf_even(db4, N, hp2); + + return N; + } + else if (!strcmp(name,"db5")){ + copy_reverse(db5, N, lp1); + qmf_wrev(db5, N, hp1); + copy(db5, N, lp2); + qmf_even(db5, N, hp2); + + return N; + } + else if (!strcmp(name,"db6")){ + copy_reverse(db6, N, lp1); + qmf_wrev(db6, N, hp1); + copy(db6, N, lp2); + qmf_even(db6, N, hp2); + + return N; + } + else if (!strcmp(name,"db7")){ + copy_reverse(db7, N, lp1); + qmf_wrev(db7, N, hp1); + copy(db7, N, lp2); + qmf_even(db7, N, hp2); + + return N; + } + else if (!strcmp(name,"db8")){ + copy_reverse(db8, N, lp1); + qmf_wrev(db8, N, hp1); + copy(db8, N, lp2); + qmf_even(db8, N, hp2); + + return N; + } + else if (!strcmp(name,"db9")){ + copy_reverse(db9, N, lp1); + qmf_wrev(db9, N, hp1); + copy(db9, N, lp2); + qmf_even(db9, N, hp2); + + return N; + } + + else if (!strcmp(name,"db10")){ + copy_reverse(db10, N, lp1); + qmf_wrev(db10, N, hp1); + copy(db10, N, lp2); + qmf_even(db10, N, hp2); + + return N; + } + + else if (!strcmp(name,"db11")){ + copy_reverse(db11, N, lp1); + qmf_wrev(db11, N, hp1); + copy(db11, N, lp2); + qmf_even(db11, N, hp2); + + return N; + } + else if (!strcmp(name,"db12")){ + copy_reverse(db12, N, lp1); + qmf_wrev(db12, N, hp1); + copy(db12, N, lp2); + qmf_even(db12, N, hp2); + + return N; + } + + else if (!strcmp(name,"db13")){ + copy_reverse(db13, N, lp1); + qmf_wrev(db13, N, hp1); + copy(db13, N, lp2); + qmf_even(db13, N, hp2); + + return N; + } + + else if (!strcmp(name,"db14")){ + copy_reverse(db14, N, lp1); + qmf_wrev(db14, N, hp1); + copy(db14, N, lp2); + qmf_even(db14, N, hp2); + + return N; + } + else if (!strcmp(name,"db15")){ + copy_reverse(db15, N, lp1); + qmf_wrev(db15, N, hp1); + copy(db15, N, lp2); + qmf_even(db15, N, hp2); + + return N; + } + else if (!strcmp(name, "db16")){ + copy_reverse(db16, N, lp1); + qmf_wrev(db16, N, hp1); + copy(db16, N, lp2); + qmf_even(db16, N, hp2); + + return N; + } + else if (!strcmp(name, "db17")){ + copy_reverse(db17, N, lp1); + qmf_wrev(db17, N, hp1); + copy(db17, N, lp2); + qmf_even(db17, N, hp2); + + return N; + } + else if (!strcmp(name, "db18")){ + copy_reverse(db18, N, lp1); + qmf_wrev(db18, N, hp1); + copy(db18, N, lp2); + qmf_even(db18, N, hp2); + + return N; + } + else if (!strcmp(name, "db19")){ + copy_reverse(db19, N, lp1); + qmf_wrev(db19, N, hp1); + copy(db19, N, lp2); + qmf_even(db19, N, hp2); + + return N; + } + else if (!strcmp(name, "db20")){ + copy_reverse(db20, N, lp1); + qmf_wrev(db20, N, hp1); + copy(db20, N, lp2); + qmf_even(db20, N, hp2); + + return N; + } + else if (!strcmp(name, "db21")){ + copy_reverse(db21, N, lp1); + qmf_wrev(db21, N, hp1); + copy(db21, N, lp2); + qmf_even(db21, N, hp2); + + return N; + } + else if (!strcmp(name, "db22")){ + copy_reverse(db22, N, lp1); + qmf_wrev(db22, N, hp1); + copy(db22, N, lp2); + qmf_even(db22, N, hp2); + + return N; + } + else if (!strcmp(name, "db23")){ + copy_reverse(db23, N, lp1); + qmf_wrev(db23, N, hp1); + copy(db23, N, lp2); + qmf_even(db23, N, hp2); + + return N; + } + else if (!strcmp(name, "db24")){ + copy_reverse(db24, N, lp1); + qmf_wrev(db24, N, hp1); + copy(db24, N, lp2); + qmf_even(db24, N, hp2); + + return N; + } + else if (!strcmp(name, "db25")){ + copy_reverse(db25, N, lp1); + qmf_wrev(db25, N, hp1); + copy(db25, N, lp2); + qmf_even(db25, N, hp2); + + return N; + } + else if (!strcmp(name, "db26")){ + copy_reverse(db26, N, lp1); + qmf_wrev(db26, N, hp1); + copy(db26, N, lp2); + qmf_even(db26, N, hp2); + return N; + } + else if (!strcmp(name, "db27")){ + copy_reverse(db27, N, lp1); + qmf_wrev(db27, N, hp1); + copy(db27, N, lp2); + qmf_even(db27, N, hp2); + + return N; + } + else if (!strcmp(name, "db28")){ + copy_reverse(db28, N, lp1); + qmf_wrev(db28, N, hp1); + copy(db28, N, lp2); + qmf_even(db28, N, hp2); + + return N; + } + else if (!strcmp(name, "db29")){ + copy_reverse(db29, N, lp1); + qmf_wrev(db29, N, hp1); + copy(db29, N, lp2); + qmf_even(db29, N, hp2); + + return N; + } + else if (!strcmp(name, "db30")){ + copy_reverse(db30, N, lp1); + qmf_wrev(db30, N, hp1); + copy(db30, N, lp2); + qmf_even(db30, N, hp2); + + return N; + } + else if (!strcmp(name, "db31")){ + copy_reverse(db31, N, lp1); + qmf_wrev(db31, N, hp1); + copy(db31, N, lp2); + qmf_even(db31, N, hp2); + + return N; + } + else if (!strcmp(name, "db32")){ + copy_reverse(db32, N, lp1); + qmf_wrev(db32, N, hp1); + copy(db32, N, lp2); + qmf_even(db32, N, hp2); + + return N; + } + else if (!strcmp(name, "db33")){ + copy_reverse(db33, N, lp1); + qmf_wrev(db33, N, hp1); + copy(db33, N, lp2); + qmf_even(db33, N, hp2); + + return N; + } + else if (!strcmp(name, "db34")){ + copy_reverse(db34, N, lp1); + qmf_wrev(db34, N, hp1); + copy(db34, N, lp2); + qmf_even(db34, N, hp2); + + return N; + } + else if (!strcmp(name, "db35")){ + copy_reverse(db35, N, lp1); + qmf_wrev(db35, N, hp1); + copy(db35, N, lp2); + qmf_even(db35, N, hp2); + + return N; + } + else if (!strcmp(name, "db36")){ + copy_reverse(db36, N, lp1); + qmf_wrev(db36, N, hp1); + copy(db36, N, lp2); + qmf_even(db36, N, hp2); + + return N; + } + else if (!strcmp(name, "db37")){ + copy_reverse(db37, N, lp1); + qmf_wrev(db37, N, hp1); + copy(db37, N, lp2); + qmf_even(db37, N, hp2); + + return N; + } + else if (!strcmp(name, "db38")){ + copy_reverse(db38, N, lp1); + qmf_wrev(db38, N, hp1); + copy(db38, N, lp2); + qmf_even(db38, N, hp2); + + return N; + } + else if (!strcmp(name,"bior1.1")){ + copy_reverse(hm1_11, N, lp1); + qmf_wrev(h1 + 4, N, hp1); + copy(h1 + 4, N, lp2); + qmf_even(hm1_11, N, hp2); + return N; + } + + else if (!strcmp(name,"bior1.3")){ + copy_reverse(hm1_13, N, lp1); + qmf_wrev(h1 + 2, N, hp1); + copy(h1 + 2, N, lp2); + qmf_even(hm1_13, N, hp2); + return N; + } + + else if (!strcmp(name,"bior1.5")){ + copy_reverse(hm1_15, N, lp1); + qmf_wrev(h1, N, hp1); + copy(h1, N, lp2); + qmf_even(hm1_15, N, hp2); + return N; + } + + else if (!strcmp(name,"bior2.2")){ + copy_reverse(hm2_22, N, lp1); + qmf_wrev(h2 + 6, N, hp1); + copy(h2 + 6, N, lp2); + qmf_even(hm2_22, N, hp2); + return N; + } + else if (!strcmp(name, "bior2.4")){ + copy_reverse(hm2_24, N, lp1); + qmf_wrev(h2 + 4, N, hp1); + copy(h2 + 4, N, lp2); + qmf_even(hm2_24, N, hp2); + return N; + } + else if (!strcmp(name,"bior2.6")){ + copy_reverse(hm2_26, N, lp1); + qmf_wrev(h2 + 2, N, hp1); + copy(h2 + 2, N, lp2); + qmf_even(hm2_26, N, hp2); + return N; + } + else if (!strcmp(name,"bior2.8")){ + copy_reverse(hm2_28, N, lp1); + qmf_wrev(h2, N, hp1); + copy(h2, N, lp2); + qmf_even(hm2_28, N, hp2); + return N; + } + + else if (!strcmp(name,"bior3.1")){ + copy_reverse(hm3_31, N, lp1); + qmf_wrev(h3 + 8, N, hp1); + copy(h3 + 8, N, lp2); + qmf_even(hm3_31, N, hp2); + return N; + } + else if (!strcmp(name, "bior3.3")){ + copy_reverse(hm3_33, N, lp1); + qmf_wrev(h3 + 6, N, hp1); + copy(h3 + 6, N, lp2); + qmf_even(hm3_33, N, hp2); + return N; + } + else if (!strcmp(name,"bior3.5")){ + copy_reverse(hm3_35, N, lp1); + qmf_wrev(h3 + 4, N, hp1); + copy(h3 + 4, N, lp2); + qmf_even(hm3_35, N, hp2); + return N; + } + else if (!strcmp(name, "bior3.7")){ + copy_reverse(hm3_37, N, lp1); + qmf_wrev(h3 + 2, N, hp1); + copy(h3 +2, N, lp2); + qmf_even(hm3_37, N, hp2); + return N; + } + else if (!strcmp(name,"bior3.9")){ + copy_reverse(hm3_39, N, lp1); + qmf_wrev(h3, N, hp1); + copy(h3, N, lp2); + qmf_even(hm3_39, N, hp2); + return N; + } + else if (!strcmp(name,"bior4.4")){ + copy_reverse(hm4_44, N, lp1); + qmf_wrev(h4, N, hp1); + copy(h4, N, lp2); + qmf_even(hm4_44, N, hp2); + return N; + } + else if (!strcmp(name, "bior5.5")){ + copy_reverse(hm5_55, N, lp1); + qmf_wrev(h5, N, hp1); + copy(h5, N, lp2); + qmf_even(hm5_55, N, hp2); + return N; + } + else if (!strcmp(name,"bior6.8")){ + copy_reverse(hm6_68, N, lp1); + qmf_wrev(h6, N, hp1); + copy(h6, N, lp2); + qmf_even(hm6_68, N, hp2); + return N; + } + else if (!strcmp(name, "rbior1.1")){ + copy_reverse(h1 + 4, N, lp1); + qmf_wrev(hm1_11, N, hp1); + copy(hm1_11, N, lp2); + qmf_even(h1 + 4, N, hp2); + return N; + } + + else if (!strcmp(name, "rbior1.3")){ + copy_reverse(h1 + 2, N, lp1); + qmf_wrev(hm1_13, N, hp1); + copy(hm1_13, N, lp2); + qmf_even(h1 + 2, N, hp2); + return N; + } + + else if (!strcmp(name, "rbior1.5")){ + copy_reverse(h1, N, lp1); + qmf_wrev(hm1_15, N, hp1); + copy(hm1_15, N, lp2); + qmf_even(h1, N, hp2); + return N; + } + + else if (!strcmp(name, "rbior2.2")){ + copy_reverse(h2 + 6, N, lp1); + qmf_wrev(hm2_22, N, hp1); + copy(hm2_22, N, lp2); + qmf_even(h2 + 6, N, hp2); + return N; + } + else if (!strcmp(name, "rbior2.4")){ + copy_reverse(h2 + 4, N, lp1); + qmf_wrev(hm2_24, N, hp1); + copy(hm2_24, N, lp2); + qmf_even(h2 + 4, N, hp2); + return N; + } + else if (!strcmp(name, "rbior2.6")){ + copy_reverse(h2 + 2, N, lp1); + qmf_wrev(hm2_26, N, hp1); + copy(hm2_26, N, lp2); + qmf_even(h2 + 2, N, hp2); + return N; + } + else if (!strcmp(name, "rbior2.8")){ + copy_reverse(h2, N, lp1); + qmf_wrev(hm2_28, N, hp1); + copy(hm2_28, N, lp2); + qmf_even(h2, N, hp2); + return N; + } + + else if (!strcmp(name, "rbior3.1")){ + copy_reverse(h3 + 8, N, lp1); + qmf_wrev(hm3_31, N, hp1); + copy(hm3_31, N, lp2); + qmf_even(h3 + 8, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.3")){ + copy_reverse(h3 + 6, N, lp1); + qmf_wrev(hm3_33, N, hp1); + copy(hm3_33, N, lp2); + qmf_even(h3 + 6, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.5")){ + copy_reverse(h3 + 4, N, lp1); + qmf_wrev(hm3_35, N, hp1); + copy(hm3_35, N, lp2); + qmf_even(h3 + 4, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.7")){ + copy_reverse(h3 + 2, N, lp1); + qmf_wrev(hm3_37, N, hp1); + copy(hm3_37, N, lp2); + qmf_even(h3 + 2, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.9")){ + copy_reverse(h3, N, lp1); + qmf_wrev(hm3_39, N, hp1); + copy(hm3_39, N, lp2); + qmf_even(h3, N, hp2); + return N; + } + else if (!strcmp(name, "rbior4.4")){ + copy_reverse(h4, N, lp1); + qmf_wrev(hm4_44, N, hp1); + copy(hm4_44, N, lp2); + qmf_even(h4, N, hp2); + return N; + } + else if (!strcmp(name, "rbior5.5")){ + copy_reverse(h5, N, lp1); + qmf_wrev(hm5_55, N, hp1); + copy(hm5_55, N, lp2); + qmf_even(h5, N, hp2); + return N; + } + else if (!strcmp(name, "rbior6.8")){ + copy_reverse(h6, N, lp1); + qmf_wrev(hm6_68, N, hp1); + copy(hm6_68, N, lp2); + qmf_even(h6, N, hp2); + return N; + } + else if (!strcmp(name,"coif1")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif1, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name,"coif2")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif2, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name,"coif3")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif3, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name,"coif4")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif4, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name,"coif5")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif5, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif6")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif6, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif7")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif7, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif8")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif8, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif9")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif9, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif10")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif10, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif11")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif11, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif12")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif12, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif13")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif13, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif14")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif14, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif15")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif15, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif16")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif16, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif17")){ + double *coeffTemp; + coeffTemp = (double*)malloc(N*sizeof(double)); + + copy(coif17, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name,"sym2")){ + copy_reverse(sym2, N, lp1); + qmf_wrev(sym2, N, hp1); + copy(sym2, N, lp2); + qmf_even(sym2, N, hp2); + return N; + } + + else if (!strcmp(name,"sym3")){ + copy_reverse(sym3, N, lp1); + qmf_wrev(sym3, N, hp1); + copy(sym3, N, lp2); + qmf_even(sym3, N, hp2); + return N; + } + + else if (!strcmp(name,"sym4")){ + copy_reverse(sym4, N, lp1); + qmf_wrev(sym4, N, hp1); + copy(sym4, N, lp2); + qmf_even(sym4, N, hp2); + return N; + } + + else if (!strcmp(name,"sym5")){ + copy_reverse(sym5, N, lp1); + qmf_wrev(sym5, N, hp1); + copy(sym5, N, lp2); + qmf_even(sym5, N, hp2); + return N; + } + + else if (!strcmp(name,"sym6")){ + copy_reverse(sym6, N, lp1); + qmf_wrev(sym6, N, hp1); + copy(sym6, N, lp2); + qmf_even(sym6, N, hp2); + return N; + } + + else if (!strcmp(name,"sym7")){ + copy_reverse(sym7, N, lp1); + qmf_wrev(sym7, N, hp1); + copy(sym7, N, lp2); + qmf_even(sym7, N, hp2); + return N; + } + + else if (!strcmp(name,"sym8")){ + copy_reverse(sym8, N, lp1); + qmf_wrev(sym8, N, hp1); + copy(sym8, N, lp2); + qmf_even(sym8, N, hp2); + return N; + } + + else if (!strcmp(name,"sym9")){ + copy_reverse(sym9, N, lp1); + qmf_wrev(sym9, N, hp1); + copy(sym9, N, lp2); + qmf_even(sym9, N, hp2); + return N; + } + + else if (!strcmp(name,"sym10")){ + copy_reverse(sym10, N, lp1); + qmf_wrev(sym10, N, hp1); + copy(sym10, N, lp2); + qmf_even(sym10, N, hp2); + return N; + } + else if (!strcmp(name, "sym11")){ + copy_reverse(sym11, N, lp1); + qmf_wrev(sym11, N, hp1); + copy(sym11, N, lp2); + qmf_even(sym11, N, hp2); + return N; + } + else if (!strcmp(name, "sym12")){ + copy_reverse(sym12, N, lp1); + qmf_wrev(sym12, N, hp1); + copy(sym12, N, lp2); + qmf_even(sym12, N, hp2); + return N; + } + else if (!strcmp(name, "sym13")){ + copy_reverse(sym13, N, lp1); + qmf_wrev(sym13, N, hp1); + copy(sym13, N, lp2); + qmf_even(sym13, N, hp2); + return N; + } + else if (!strcmp(name, "sym14")){ + copy_reverse(sym14, N, lp1); + qmf_wrev(sym14, N, hp1); + copy(sym14, N, lp2); + qmf_even(sym14, N, hp2); + return N; + } + else if (!strcmp(name, "sym15")){ + copy_reverse(sym15, N, lp1); + qmf_wrev(sym15, N, hp1); + copy(sym15, N, lp2); + qmf_even(sym15, N, hp2); + return N; + } + else if (!strcmp(name, "sym16")){ + copy_reverse(sym16, N, lp1); + qmf_wrev(sym16, N, hp1); + copy(sym16, N, lp2); + qmf_even(sym16, N, hp2); + return N; + } + else if (!strcmp(name, "sym17")){ + copy_reverse(sym17, N, lp1); + qmf_wrev(sym17, N, hp1); + copy(sym17, N, lp2); + qmf_even(sym17, N, hp2); + return N; + } + else if (!strcmp(name, "sym18")){ + copy_reverse(sym18, N, lp1); + qmf_wrev(sym18, N, hp1); + copy(sym18, N, lp2); + qmf_even(sym18, N, hp2); + return N; + } + else if (!strcmp(name, "sym19")){ + copy_reverse(sym19, N, lp1); + qmf_wrev(sym19, N, hp1); + copy(sym19, N, lp2); + qmf_even(sym19, N, hp2); + return N; + } + else if (!strcmp(name, "sym20")){ + copy_reverse(sym20, N, lp1); + qmf_wrev(sym20, N, hp1); + copy(sym20, N, lp2); + qmf_even(sym20, N, hp2); + return N; + } + else if (!strcmp(name, "meyer")){ + copy_reverse(meyer, N, lp1); + qmf_wrev(meyer, N, hp1); + copy(meyer, N, lp2); + qmf_even(meyer, N, hp2); + return N; + } + + else { + printf("\n Filter Not in Database \n"); + return -1; + } + + return 0; +} diff --git a/dep/wavelib/src/wavefilt.h b/dep/wavelib/src/wavefilt.h new file mode 100644 index 0000000..9b52ff3 --- /dev/null +++ b/dep/wavelib/src/wavefilt.h @@ -0,0 +1,31 @@ +/* +Copyright (c) 2014, Rafat Hussain +Copyright (c) 2016, Holger Nahrstaedt +*/ +#ifndef WAVEFILT_H_ +#define WAVEFILT_H_ + +#include +#include "conv.h" +#define _USE_MATH_DEFINES +#include "math.h" + +#ifdef __cplusplus +extern "C" { +#endif + + +int filtlength(const char* name); + +int filtcoef(const char* name, double *lp1, double *hp1, double *lp2, double *hp2); + +void copy_reverse(const double *in, int N, double *out); +void qmf_even(const double *in, int N, double *out); +void qmf_wrev(const double *in, int N, double *out); +void copy(const double *in, int N, double *out); +#ifdef __cplusplus +} +#endif + + +#endif /* WAVEFILT_H_ */ \ No newline at end of file diff --git a/dep/wavelib/src/wavefunc.c b/dep/wavelib/src/wavefunc.c new file mode 100644 index 0000000..3bcfeac --- /dev/null +++ b/dep/wavelib/src/wavefunc.c @@ -0,0 +1,210 @@ +#include "wavefunc.h" + +void meyer(int N,double lb,double ub,double *phi,double *psi,double *tgrid) { + int M,i; + double *w; + double delta,j; + double theta,x,x2,x3,x4,v,cs,sn; + double wf; + fft_data *phiw,*psiw,*oup; + fft_object obj; + + M = divideby(N, 2); + + if (M == 0) { + printf("Size of Wavelet must be a power of 2"); + exit(1); + } + if (lb >= ub) { + printf("upper bound must be greater than lower bound"); + exit(1); + } + + obj = fft_init(N,-1); + w = (double*)malloc(sizeof(double)*N); + phiw = (fft_data*) malloc (sizeof(fft_data) * N); + psiw = (fft_data*) malloc (sizeof(fft_data) * N); + oup = (fft_data*) malloc (sizeof(fft_data) * N); + + delta = 2 * (ub-lb) / PI2; + + j = (double) N; + j *= -1.0; + + for(i = 0; i < N;++i) { + w[i] = j / delta; + j += 2.0; + psiw[i].re = psiw[i].im = 0.0; + phiw[i].re = phiw[i].im = 0.0; + } + + + for(i = 0; i < N;++i) { + wf = fabs(w[i]); + if (wf <= PI2/3.0) { + phiw[i].re = 1.0; + } + if (wf > PI2/3.0 && wf <= 2 * PI2 / 3.0) { + x = (3 * wf / PI2) - 1.0; + x2 = x*x; + x3 = x2 * x; + x4 = x3 *x; + v = x4 *(35 - 84*x + 70*x2 - 20*x3); + theta = v * PI2 / 4.0; + cs = cos(theta); + sn = sin(theta); + + phiw[i].re = cs; + psiw[i].re = cos(w[i]/2.0) * sn; + psiw[i].im = sin(w[i]/2.0) * sn; + } + if (wf > 2.0 * PI2/3.0 && wf <= 4 * PI2 / 3.0) { + x = (1.5 * wf / PI2) - 1.0; + x2 = x*x; + x3 = x2 * x; + x4 = x3 *x; + v = x4 *(35 - 84*x + 70*x2 - 20*x3); + theta = v * PI2 / 4.0; + cs = cos(theta); + + psiw[i].re = cos(w[i]/2.0) * cs; + psiw[i].im = sin(w[i]/2.0) * cs; + } + } + + + nsfft_exec(obj,phiw,oup,lb,ub,tgrid); + + + for(i = 0; i < N;++i) { + phi[i] = oup[i].re/N; + } + + nsfft_exec(obj,psiw,oup,lb,ub,tgrid); + + + for(i = 0; i < N;++i) { + psi[i] = oup[i].re/N; + } + + + + free(oup); + free(phiw); + free(psiw); + free(w); +} + +void gauss(int N,int p,double lb,double ub,double *psi,double *t) { + double delta,num,den,t2,t4; + int i; + + if (lb >= ub) { + printf("upper bound must be greater than lower bound"); + exit(1); + } + + t[0] = lb; + t[N-1] = ub; + delta = (ub - lb) / (N-1); + for(i = 1; i < N-1;++i) { + t[i] = lb + delta * i; + } + + den = sqrt(cwt_gamma(p+0.5)); + + if ((p+1)%2 == 0) { + num = 1.0; + } else { + num = -1.0; + } + + num /= den; + + //printf("\n%g\n",num); + + if (p == 1) { + for(i = 0; i < N;++i) { + psi[i] = -t[i] * exp(- t[i] * t[i]/2.0) * num; + } + } else if (p == 2) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + psi[i] = (-1.0 + t2) * exp(- t2/2.0) * num; + } + } else if (p == 3) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + psi[i] = t[i] * (3.0 - t2) * exp(- t2/2.0) * num; + } + } else if (p == 4) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + psi[i] = (t2 * t2 - 6.0 * t2 + 3.0) * exp(- t2/2.0) * num; + } + } else if (p == 5) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + psi[i] = t[i] * (-t2 * t2 + 10.0 * t2 - 15.0) * exp(- t2/2.0) * num; + } + } else if (p == 6) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + psi[i] = (t2 * t2 * t2 - 15.0 * t2 * t2 + 45.0 * t2 - 15.0) * exp(- t2/2.0) * num; + } + } else if (p == 7) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + psi[i] = t[i] * (-t2 * t2 * t2 + 21.0 * t2 * t2 - 105.0 * t2 + 105.0) * exp(- t2/2.0) * num; + } + } else if (p == 8) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + t4 = t2 * t2; + psi[i] = (t4 * t4 - 28.0 * t4 * t2 + 210.0 * t4 - 420.0 * t2 + 105.0) * exp(- t2/2.0) * num; + } + } else if (p == 9) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + t4 = t2 * t2; + psi[i] = t[i] * (- t4 * t4 + 36.0 * t4 * t2 - 378.0 * t4 + 1260.0 * t2 - 945.0) * exp(- t2/2.0) * num; + } + } else if (p == 10) { + for(i = 0; i < N;++i) { + t2 = t[i] * t[i]; + t4 = t2 * t2; + psi[i] = (t4 * t4 * t2 - 45.0 * t4 * t4 + 630.0 * t4 * t2 - 3150.0 * t4 + 4725.0 * t2 - 945.0) * exp(- t2/2.0) * num; + } + } else { + printf("\n The Gaussian Derivative Wavelet is only available for Derivatives 1 to 10"); + exit(1); + } + + + +} + +void mexhat(int N,double lb,double ub,double *psi,double *t) { + gauss(N,2,lb,ub,psi,t); +} + +void morlet(int N,double lb,double ub,double *psi,double *t) { + int i; + double delta; + + if (lb >= ub) { + printf("upper bound must be greater than lower bound"); + exit(1); + } + + t[0] = lb; + t[N-1] = ub; + delta = (ub - lb) / (N-1); + for(i = 1; i < N-1;++i) { + t[i] = lb + delta * i; + } + + for(i = 0; i < N;++i) { + psi[i] = exp(- t[i] * t[i] / 2.0) * cos(5 * t[i]); + } +} diff --git a/dep/wavelib/src/wavefunc.h b/dep/wavelib/src/wavefunc.h new file mode 100644 index 0000000..2aa6ead --- /dev/null +++ b/dep/wavelib/src/wavefunc.h @@ -0,0 +1,24 @@ +#ifndef WAVEFUNC_H_ +#define WAVEFUNC_H_ + +#include "cwtmath.h" + +#ifdef __cplusplus +extern "C" { +#endif + +void meyer(int N,double lb,double ub,double *phi,double *psi,double *tgrid); + +void gauss(int N,int p,double lb,double ub,double *psi,double *t); + +void mexhat(int N,double lb,double ub,double *psi,double *t); + +void morlet(int N,double lb,double ub,double *psi,double *t); + + +#ifdef __cplusplus +} +#endif + + +#endif /* WAVEFUNC_H_ */ diff --git a/dep/wavelib/src/wavelib.c b/dep/wavelib/src/wavelib.c new file mode 100644 index 0000000..d40f491 --- /dev/null +++ b/dep/wavelib/src/wavelib.c @@ -0,0 +1,4280 @@ +/* + Copyright (c) 2014, Rafat Hussain +*/ + +#include +#include +#include +#include + +#include "cwt.h" +#include "../header/wavelib.h" +#include "wtmath.h" + +wave_object wave_init(const char* wname) { + wave_object obj = NULL; + int retval; + retval = 0; + + if (wname != NULL) { + retval = filtlength(wname); + //obj->filtlength = retval; + //strcopy(obj->wname, wname); + } + + obj = (wave_object)malloc(sizeof(struct wave_set) + sizeof(double)* 4 * retval); + + obj->filtlength = retval; + obj->lpd_len = obj->hpd_len = obj->lpr_len = obj->hpr_len = obj->filtlength; + strcpy(obj->wname, wname); + if (wname != NULL) { + filtcoef(wname,obj->params,obj->params+retval,obj->params+2*retval,obj->params+3*retval); + } + obj->lpd = &obj->params[0]; + obj->hpd = &obj->params[retval]; + obj->lpr = &obj->params[2 * retval]; + obj->hpr = &obj->params[3 * retval]; + return obj; +} + +wt_object wt_init(wave_object wave,const char* method, int siglength,int J) { + int size,i,MaxIter; + wt_object obj = NULL; + + size = wave->filtlength; + + if (J > 100) { + printf("\n The Decomposition Iterations Cannot Exceed 100. Exiting \n"); + exit(-1); + } + + MaxIter = wmaxiter(siglength, size); + + if (J > MaxIter) { + printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n",MaxIter); + exit(-1); + } + + if (method == NULL) { + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength + 2 * J * (size+1))); + obj->outlength = siglength + 2 * J * (size + 1); // Default + strcpy(obj->ext, "sym"); // Default + } + else if (!strcmp(method, "dwt") || !strcmp(method, "DWT")) { + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength + 2 * J * (size + 1))); + obj->outlength = siglength + 2 * J * (size + 1); // Default + strcpy(obj->ext, "sym"); // Default + } + else if (!strcmp(method, "swt") || !strcmp(method, "SWT")) { + if (!testSWTlength(siglength, J)) { + printf("\n For SWT the signal length must be a multiple of 2^J. \n"); + exit(-1); + } + + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength * (J + 1))); + obj->outlength = siglength * (J + 1); // Default + strcpy(obj->ext, "per"); // Default + } + else if (!strcmp(method, "modwt") || !strcmp(method, "MODWT")) { + + if (!strstr(wave->wname,"haar")) { + if (!strstr(wave->wname,"db")) { + if (!strstr(wave->wname, "sym")) { + if (!strstr(wave->wname, "coif")) { + printf("\n MODWT is only implemented for orthogonal wavelet families - db, sym and coif \n"); + exit(-1); + } + } + } + } + + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength * 2 * (J + 1))); + obj->outlength = siglength * (J + 1); // Default + strcpy(obj->ext, "per"); // Default + } + + obj->wave = wave; + obj->siglength = siglength; + obj->modwtsiglength = siglength; + obj->J = J; + obj->MaxIter = MaxIter; + strcpy(obj->method, method); + + if (siglength % 2 == 0) { + obj->even = 1; + } + else { + obj->even = 0; + } + + obj->cobj = NULL; + + strcpy(obj->cmethod, "direct"); // Default + obj->cfftset = 0; + obj->lenlength = J + 2; + obj->output = &obj->params[0]; + if (!strcmp(method, "dwt") || !strcmp(method, "DWT")) { + for (i = 0; i < siglength + 2 * J * (size + 1); ++i) { + obj->params[i] = 0.0; + } + } + else if (!strcmp(method, "swt") || !strcmp(method, "SWT")) { + for (i = 0; i < siglength * (J + 1); ++i) { + obj->params[i] = 0.0; + } + } + else if (!strcmp(method, "modwt") || !strcmp(method, "MODWT")) { + for (i = 0; i < siglength * 2 * (J + 1); ++i) { + obj->params[i] = 0.0; + } + } + //wave_summary(obj->wave); + + return obj; +} + +wtree_object wtree_init(wave_object wave, int siglength,int J) { + int size,i,MaxIter,temp,temp2,elength,nodes; + wtree_object obj = NULL; + + size = wave->filtlength; + + if (J > 100) { + printf("\n The Decomposition Iterations Cannot Exceed 100. Exiting \n"); + exit(-1); + } + + + MaxIter = wmaxiter(siglength, size); + if (J > MaxIter) { + printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n", MaxIter); + exit(-1); + } + temp = 1; + elength = 0; + nodes = 0; + for(i = 0; i < J;++i) { + temp *= 2; + nodes += temp; + temp2 = (size - 2) * (temp - 1); + elength += temp2; + } + + obj = (wtree_object)malloc(sizeof(struct wtree_set) + sizeof(double)* (siglength * (J + 1) + elength + nodes + J + 1)); + obj->outlength = siglength * (J + 1) + elength; + strcpy(obj->ext, "sym"); + + obj->wave = wave; + obj->siglength = siglength; + obj->J = J; + obj->MaxIter = MaxIter; + strcpy(obj->method, "dwt"); + + if (siglength % 2 == 0) { + obj->even = 1; + } + else { + obj->even = 0; + } + + obj->cobj = NULL; + obj->nodes = nodes; + + obj->cfftset = 0; + obj->lenlength = J + 2; + obj->output = &obj->params[0]; + obj->nodelength = (int*) &obj->params[siglength * (J + 1) + elength]; + obj->coeflength = (int*)&obj->params[siglength * (J + 1) + elength + nodes]; + + for (i = 0; i < siglength * (J + 1) + elength + nodes + J + 1; ++i) { + obj->params[i] = 0.0; + } + + //wave_summary(obj->wave); + + return obj; +} + +wpt_object wpt_init(wave_object wave, int siglength, int J) { + int size, i, MaxIter, temp, nodes,elength,p2,N,lp; + wpt_object obj = NULL; + + size = wave->filtlength; + + if (J > 100) { + printf("\n The Decomposition Iterations Cannot Exceed 100. Exiting \n"); + exit(-1); + } + + + MaxIter = wmaxiter(siglength, size); + if (J > MaxIter) { + printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n", MaxIter); + exit(-1); + } + temp = 1; + nodes = 0; + for (i = 0; i < J; ++i) { + temp *= 2; + nodes += temp; + } + + i = J; + p2 = 2; + N = siglength; + lp = size; + elength = 0; + while (i > 0) { + N = N + lp - 2; + N = (int)ceil((double)N / 2.0); + elength = p2 * N; + i--; + p2 *= 2; + } + //printf("elength %d", elength); + + obj = (wpt_object)malloc(sizeof(struct wpt_set) + sizeof(double)* (elength + 4 * nodes + 2 * J + 6)); + obj->outlength = siglength + 2 * (J + 1) * (size + 1); + strcpy(obj->ext, "sym"); + strcpy(obj->entropy, "shannon"); + obj->eparam = 0.0; + + obj->wave = wave; + obj->siglength = siglength; + obj->J = J; + obj->MaxIter = MaxIter; + + if (siglength % 2 == 0) { + obj->even = 1; + } + else { + obj->even = 0; + } + + obj->cobj = NULL; + obj->nodes = nodes; + + obj->lenlength = J + 2; + obj->output = &obj->params[0]; + obj->costvalues = &obj->params[elength]; + obj->basisvector = &obj->params[elength + nodes + 1]; + obj->nodeindex = (int*)&obj->params[elength + 2*nodes + 2]; + obj->numnodeslevel = (int*)&obj->params[elength + 4 * nodes + 4]; + obj->coeflength = (int*)&obj->params[elength + 4 * nodes + J + 5]; + + for (i = 0; i < elength + 4 * nodes + 2 * J + 6; ++i) { + obj->params[i] = 0.0; + } + + //wave_summary(obj->wave); + + return obj; +} + +cwt_object cwt_init(const char* wave, double param,int siglength, double dt, int J) { + cwt_object obj = NULL; + int N, i,nj2,ibase2,mother; + double s0, dj; + double t1; + int m, odd; + const char *pdefault = "pow"; + + m = (int)param; + odd = 1; + if (2 * (m / 2) == m) { + odd = 0; + } + + N = siglength; + nj2 = 2 * N * J; + obj = (cwt_object)malloc(sizeof(struct cwt_set) + sizeof(double)* (nj2 + 2 * J + N)); + + if (!strcmp(wave, "morlet") || !strcmp(wave, "morl")) { + s0 = 2 * dt; + dj = 0.4875; + mother = 0; + if (param < 0.0) { + printf("\n Morlet Wavelet Parameter should be >= 0 \n"); + exit(-1); + } + if (param == 0) { + param = 6.0; + } + strcpy(obj->wave,"morlet"); + + } + else if (!strcmp(wave, "paul")) { + s0 = 2 * dt; + dj = 0.4875; + mother = 1; + if (param < 0 || param > 20) { + printf("\n Paul Wavelet Parameter should be > 0 and <= 20 \n"); + exit(-1); + } + if (param == 0) { + param = 4.0; + } + strcpy(obj->wave,"paul"); + + } + else if (!strcmp(wave, "dgauss") || !strcmp(wave, "dog")) { + s0 = 2 * dt; + dj = 0.4875; + mother = 2; + if (param < 0 || odd == 1) { + printf("\n DOG Wavelet Parameter should be > 0 and even \n"); + exit(-1); + } + if (param == 0) { + param = 2.0; + } + strcpy(obj->wave,"dog"); + } + + obj->pow = 2; + strcpy(obj->type, pdefault); + + obj->s0 = s0; + obj->dj = dj; + obj->dt = dt; + obj->J = J; + obj->siglength = siglength; + obj->sflag = 0; + obj->pflag = 1; + obj->mother = mother; + obj->m = param; + + t1 = 0.499999 + log((double)N) / log(2.0); + ibase2 = 1 + (int)t1; + + obj->npad = (int)pow(2.0, (double)ibase2); + + obj->output = (cplx_data*) &obj->params[0]; + obj->scale = &obj->params[nj2]; + obj->period = &obj->params[nj2 + J]; + obj->coi = &obj->params[nj2 + 2*J]; + + for (i = 0; i < nj2 + 2 * J + N; ++i) { + obj->params[i] = 0.0; + } + + return obj; +} + +wt2_object wt2_init(wave_object wave, const char* method, int rows, int cols, int J) { + int size, i, MaxIter, MaxRows, MaxCols,sumacc; + wt2_object obj = NULL; + + size = wave->filtlength; + + MaxRows = wmaxiter(rows, size); + MaxCols = wmaxiter(cols, size); + + MaxIter = (MaxRows < MaxCols) ? MaxRows : MaxCols; + + if (J > MaxIter) { + printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n", MaxIter); + exit(-1); + } + + if (J == 1) { + sumacc = 4; + } + else if (J > 1) { + sumacc = J * 3 + 1; + } + else { + printf("Error : J should be >= 1 \n"); + exit(-1); + } + + if (method == NULL) { + obj = (wt2_object)malloc(sizeof(struct wt2_set) + sizeof(int)* (2 * J + sumacc)); + obj->outlength = 0; // Default + strcpy(obj->ext, "per"); + } + else if (!strcmp(method, "dwt") || !strcmp(method, "DWT")) { + obj = (wt2_object)malloc(sizeof(struct wt2_set) + sizeof(int)* (2 * J + sumacc)); + obj->outlength = 0; // Default + strcpy(obj->ext, "per"); + } + else if (!strcmp(method, "swt") || !strcmp(method, "SWT")) { + if (!testSWTlength(rows, J) || !testSWTlength(cols, J)) { + printf("\n For SWT data rows and columns must be a multiple of 2^J. \n"); + exit(-1); + } + + obj = (wt2_object)malloc(sizeof(struct wt2_set) + sizeof(int)* (2 * J + sumacc)); + obj->outlength = 0; // Default + strcpy(obj->ext, "per"); + } + else if (!strcmp(method, "modwt") || !strcmp(method, "MODWT")) { + if (!strstr(wave->wname, "haar")) { + if (!strstr(wave->wname, "db")) { + if (!strstr(wave->wname, "sym")) { + if (!strstr(wave->wname, "coif")) { + printf("\n MODWT is only implemented for orthogonal wavelet families - db, sym and coif \n"); + exit(-1); + } + } + } + } + obj = (wt2_object)malloc(sizeof(struct wt2_set) + sizeof(int)* (2 * J + sumacc)); + obj->outlength = 0; // Default + strcpy(obj->ext, "per"); + } + + + obj->wave = wave; + obj->rows = rows; + obj->cols = cols; + obj->J = J; + obj->MaxIter = MaxIter; + strcpy(obj->method, method); + obj->coeffaccesslength = sumacc; + + obj->dimensions = &obj->params[0]; + obj->coeffaccess = &obj->params[2 * J]; + for (i = 0; i < (2 * J + sumacc); ++i) { + obj->params[i] = 0; + } + + return obj; +} + + +static void wconv(wt_object wt, double *sig, int N, double *filt, int L, double *oup) { + if (!strcmp(wt->cmethod,"direct")) { + conv_direct(sig, N, filt, L, oup); + } + else if (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT")) { + if (wt->cfftset == 0) { + wt->cobj = conv_init(N, L); + conv_fft(wt->cobj, sig, filt, oup); + free_conv(wt->cobj); + } + else { + conv_fft(wt->cobj, sig, filt, oup); + } + } + else { + printf("Convolution Only accepts two methods - direct and fft"); + exit(-1); + } +} + + +static void dwt_per(wt_object wt, double *inp, int N, double *cA, int len_cA, double *cD) { + + dwt_per_stride(inp,N,wt->wave->lpd,wt->wave->hpd,wt->wave->lpd_len,cA,len_cA,cD,1,1); + +} + +static void wtree_per(wtree_object wt, double *inp, int N, double *cA, int len_cA, double *cD) { + int l, l2, isodd, i, t, len_avg; + + len_avg = wt->wave->lpd_len; + l2 = len_avg / 2; + isodd = N % 2; + + for (i = 0; i < len_cA; ++i) { + t = 2 * i + l2; + cA[i] = 0.0; + cD[i] = 0.0; + for (l = 0; l < len_avg; ++l) { + if ((t - l) >= l2 && (t - l) < N) { + cA[i] += wt->wave->lpd[l] * inp[t - l]; + cD[i] += wt->wave->hpd[l] * inp[t - l]; + } + else if ((t - l) < l2 && (t - l) >= 0) { + cA[i] += wt->wave->lpd[l] * inp[t - l]; + cD[i] += wt->wave->hpd[l] * inp[t - l]; + } + else if ((t - l) < 0 && isodd == 0) { + cA[i] += wt->wave->lpd[l] * inp[t - l + N]; + cD[i] += wt->wave->hpd[l] * inp[t - l + N]; + } + else if ((t - l) < 0 && isodd == 1) { + if ((t - l) != -1) { + cA[i] += wt->wave->lpd[l] * inp[t - l + N + 1]; + cD[i] += wt->wave->hpd[l] * inp[t - l + N + 1]; + } + else { + cA[i] += wt->wave->lpd[l] * inp[N - 1]; + cD[i] += wt->wave->hpd[l] * inp[N - 1]; + } + } + else if ((t - l) >= N && isodd == 0) { + cA[i] += wt->wave->lpd[l] * inp[t - l - N]; + cD[i] += wt->wave->hpd[l] * inp[t - l - N]; + } + else if ((t - l) >= N && isodd == 1) { + if (t - l != N) { + cA[i] += wt->wave->lpd[l] * inp[t - l - (N + 1)]; + cD[i] += wt->wave->hpd[l] * inp[t - l - (N + 1)]; + } + else { + cA[i] += wt->wave->lpd[l] * inp[N - 1]; + cD[i] += wt->wave->hpd[l] * inp[N - 1]; + } + } + + } + } + + + +} + +static void dwpt_per(wpt_object wt, double *inp, int N, double *cA, int len_cA, double *cD) { + int l, l2, isodd, i, t, len_avg; + + len_avg = wt->wave->lpd_len; + l2 = len_avg / 2; + isodd = N % 2; + + for (i = 0; i < len_cA; ++i) { + t = 2 * i + l2; + cA[i] = 0.0; + cD[i] = 0.0; + for (l = 0; l < len_avg; ++l) { + if ((t - l) >= l2 && (t - l) < N) { + cA[i] += wt->wave->lpd[l] * inp[t - l]; + cD[i] += wt->wave->hpd[l] * inp[t - l]; + } + else if ((t - l) < l2 && (t - l) >= 0) { + cA[i] += wt->wave->lpd[l] * inp[t - l]; + cD[i] += wt->wave->hpd[l] * inp[t - l]; + } + else if ((t - l) < 0 && isodd == 0) { + cA[i] += wt->wave->lpd[l] * inp[t - l + N]; + cD[i] += wt->wave->hpd[l] * inp[t - l + N]; + } + else if ((t - l) < 0 && isodd == 1) { + if ((t - l) != -1) { + cA[i] += wt->wave->lpd[l] * inp[t - l + N + 1]; + cD[i] += wt->wave->hpd[l] * inp[t - l + N + 1]; + } + else { + cA[i] += wt->wave->lpd[l] * inp[N - 1]; + cD[i] += wt->wave->hpd[l] * inp[N - 1]; + } + } + else if ((t - l) >= N && isodd == 0) { + cA[i] += wt->wave->lpd[l] * inp[t - l - N]; + cD[i] += wt->wave->hpd[l] * inp[t - l - N]; + } + else if ((t - l) >= N && isodd == 1) { + if (t - l != N) { + cA[i] += wt->wave->lpd[l] * inp[t - l - (N + 1)]; + cD[i] += wt->wave->hpd[l] * inp[t - l - (N + 1)]; + } + else { + cA[i] += wt->wave->lpd[l] * inp[N - 1]; + cD[i] += wt->wave->hpd[l] * inp[N - 1]; + } + } + + } + } + + + +} + +static void dwt_sym(wt_object wt, double *inp, int N, double *cA, int len_cA, double *cD) { + + dwt_sym_stride(inp,N,wt->wave->lpd,wt->wave->hpd,wt->wave->lpd_len,cA,len_cA,cD,1,1); +} + +static void wtree_sym(wtree_object wt, double *inp, int N, double *cA, int len_cA, double *cD) { + int i, l, t, len_avg; + + len_avg = wt->wave->lpd_len; + + for (i = 0; i < len_cA; ++i) { + t = 2 * i + 1; + cA[i] = 0.0; + cD[i] = 0.0; + for (l = 0; l < len_avg; ++l) { + if ((t - l) >= 0 && (t - l) < N) { + cA[i] += wt->wave->lpd[l] * inp[t - l]; + cD[i] += wt->wave->hpd[l] * inp[t - l]; + } + else if ((t - l) < 0) { + cA[i] += wt->wave->lpd[l] * inp[-t + l - 1]; + cD[i] += wt->wave->hpd[l] * inp[-t + l - 1]; + } + else if ((t - l) >= N) { + cA[i] += wt->wave->lpd[l] * inp[2 * N - t + l - 1]; + cD[i] += wt->wave->hpd[l] * inp[2 * N - t + l - 1]; + } + + } + } + + +} + +static void dwpt_sym(wpt_object wt, double *inp, int N, double *cA, int len_cA, double *cD) { + int i, l, t, len_avg; + + len_avg = wt->wave->lpd_len; + + for (i = 0; i < len_cA; ++i) { + t = 2 * i + 1; + cA[i] = 0.0; + cD[i] = 0.0; + for (l = 0; l < len_avg; ++l) { + if ((t - l) >= 0 && (t - l) < N) { + cA[i] += wt->wave->lpd[l] * inp[t - l]; + cD[i] += wt->wave->hpd[l] * inp[t - l]; + } + else if ((t - l) < 0) { + cA[i] += wt->wave->lpd[l] * inp[-t + l - 1]; + cD[i] += wt->wave->hpd[l] * inp[-t + l - 1]; + } + else if ((t - l) >= N) { + cA[i] += wt->wave->lpd[l] * inp[2 * N - t + l - 1]; + cD[i] += wt->wave->hpd[l] * inp[2 * N - t + l - 1]; + } + + } + } + + +} + +static void dwt1(wt_object wt,double *sig,int len_sig, double *cA, double *cD) { + int len_avg,D,lf; + double *signal,*cA_undec; + len_avg = (wt->wave->lpd_len + wt->wave->hpd_len) / 2; + //len_sig = 2 * (int)ceil((double)len_sig / 2.0); + + D = 2; + + if (!strcmp(wt->ext, "per")) { + signal = (double*)malloc(sizeof(double)* (len_sig + len_avg + (len_sig % 2))); + + len_sig = per_ext(sig, len_sig, len_avg / 2, signal); + + cA_undec = (double*)malloc(sizeof(double)* (len_sig + len_avg + wt->wave->lpd_len - 1)); + + if (wt->wave->lpd_len == wt->wave->hpd_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + wt->cobj = conv_init(len_sig + len_avg, wt->wave->lpd_len); + wt->cfftset = 1; + } + else if (!(wt->wave->lpd_len == wt->wave->hpd_len)) { + printf("Decomposition Filters must have the same length."); + exit(-1); + } + + wconv(wt, signal, len_sig + len_avg, wt->wave->lpd, wt->wave->lpd_len, cA_undec); + + downsamp(cA_undec + len_avg, len_sig, D, cA); + + wconv(wt, signal, len_sig + len_avg, wt->wave->hpd, wt->wave->hpd_len, cA_undec); + + downsamp(cA_undec + len_avg, len_sig, D, cD); + } + else if (!strcmp(wt->ext, "sym")) { + //printf("\n YES %s \n", wt->ext); + lf = wt->wave->lpd_len;// lpd and hpd have the same length + + signal = (double*)malloc(sizeof(double)* (len_sig + 2 * (lf - 1))); + + len_sig = symm_ext(sig, len_sig, lf - 1, signal); + + cA_undec = (double*)malloc(sizeof(double)* (len_sig + 3 * (lf - 1))); + + if (wt->wave->lpd_len == wt->wave->hpd_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + wt->cobj = conv_init(len_sig + 2 * (lf - 1), lf); + wt->cfftset = 1; + } + else if (!(wt->wave->lpd_len == wt->wave->hpd_len)) { + printf("Decomposition Filters must have the same length."); + exit(-1); + } + + + wconv(wt, signal, len_sig + 2 * (lf - 1), wt->wave->lpd, wt->wave->lpd_len, cA_undec); + + downsamp(cA_undec + lf, len_sig + lf - 2, D, cA); + + wconv(wt, signal, len_sig + 2 * (lf - 1), wt->wave->hpd, wt->wave->hpd_len, cA_undec); + + downsamp(cA_undec + lf, len_sig + lf - 2, D, cD); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + + if (wt->wave->lpd_len == wt->wave->hpd_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + free_conv(wt->cobj); + wt->cfftset = 0; + } + + free(signal); + free(cA_undec); +} + +void dwt(wt_object wt,const double *inp) { + int i,J,temp_len,iter,N,lp; + int len_cA; + double *orig,*orig2; + + temp_len = wt->siglength; + J = wt->J; + wt->length[J + 1] = temp_len; + wt->outlength = 0; + wt->zpad = 0; + orig = (double*)malloc(sizeof(double)* temp_len); + orig2 = (double*)malloc(sizeof(double)* temp_len); + /* + if ((temp_len % 2) == 0) { + wt->zpad = 0; + orig = (double*)malloc(sizeof(double)* temp_len); + orig2 = (double*)malloc(sizeof(double)* temp_len); + } + else { + wt->zpad = 1; + temp_len++; + orig = (double*)malloc(sizeof(double)* temp_len); + orig2 = (double*)malloc(sizeof(double)* temp_len); + } + */ + + for (i = 0; i < wt->siglength; ++i) { + orig[i] = inp[i]; + } + + if (wt->zpad == 1) { + orig[temp_len - 1] = orig[temp_len - 2]; + } + + N = temp_len; + lp = wt->wave->lpd_len; + + if (!strcmp(wt->ext,"per")) { + i = J; + while (i > 0) { + N = (int)ceil((double)N / 2.0); + wt->length[i] = N; + wt->outlength += wt->length[i]; + i--; + } + wt->length[0] = wt->length[1]; + wt->outlength += wt->length[0]; + N = wt->outlength; + + for (iter = 0; iter < J; ++iter) { + len_cA = wt->length[J - iter]; + N -= len_cA; + if ( !strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT") ) { + dwt1(wt, orig, temp_len, orig2, wt->params + N); + } + else { + dwt_per(wt, orig, temp_len, orig2, len_cA, wt->params + N); + } + temp_len = wt->length[J - iter]; + if (iter == J - 1) { + for (i = 0; i < len_cA; ++i) { + wt->params[i] = orig2[i]; + } + } + else { + for (i = 0; i < len_cA; ++i) { + orig[i] = orig2[i]; + } + } + } + } + else if (!strcmp(wt->ext,"sym")) { + //printf("\n YES %s \n", wt->ext); + i = J; + while (i > 0) { + N = N + lp - 2; + N = (int) ceil((double)N / 2.0); + wt->length[i] = N; + wt->outlength += wt->length[i]; + i--; + } + wt->length[0] = wt->length[1]; + wt->outlength += wt->length[0]; + N = wt->outlength; + + for (iter = 0; iter < J; ++iter) { + len_cA = wt->length[J - iter]; + N -= len_cA; + if (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT")) { + dwt1(wt, orig, temp_len, orig2, wt->params + N); + } + else { + dwt_sym(wt, orig, temp_len, orig2, len_cA, wt->params + N); + } + temp_len = wt->length[J - iter]; + + if (iter == J - 1) { + for (i = 0; i < len_cA; ++i) { + wt->params[i] = orig2[i]; + } + } + else { + for (i = 0; i < len_cA; ++i) { + orig[i] = orig2[i]; + } + } + } + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + free(orig); + free(orig2); +} + +static void getDWTRecCoeff(double *coeff, int *length, const char *ctype, const char *ext, int level, int J, double *lpr, + double *hpr, int lf, int siglength, double *reccoeff) { + + int i, j, k, det_len, N, l, m, n, v, t, l2; + double *out, *X_lp, *filt; + out = (double*)malloc(sizeof(double)* (siglength + 1)); + l2 = lf / 2; + m = -2; + n = -1; + if (!strcmp(ext, "per")) { + if (!strcmp((ctype), "appx")) { + det_len = length[0]; + } + else { + det_len = length[J - level + 1]; + } + + N = 2 * length[J]; + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + + for (i = 0; i < det_len; ++i) { + out[i] = coeff[i]; + } + + for (j = level; j > 0; --j) { + + if (!strcmp((ctype), "det") && j == level) { + filt = hpr; + } + else { + filt = lpr; + } + + m = -2; + n = -1; + + for (i = 0; i < det_len + l2 - 1; ++i) { + m += 2; + n += 2; + X_lp[m] = 0.0; + X_lp[n] = 0.0; + for (l = 0; l < l2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < det_len) { + X_lp[m] += filt[t] * out[i - l]; + X_lp[n] += filt[t + 1] * out[i - l]; + } + else if ((i - l) >= det_len && (i - l) < det_len + lf - 1) { + X_lp[m] += filt[t] * out[i - l - det_len]; + X_lp[n] += filt[t + 1] * out[i - l - det_len]; + } + else if ((i - l) < 0 && (i - l) > -l2) { + X_lp[m] += filt[t] * out[det_len + i - l]; + X_lp[n] += filt[t + 1] * out[det_len + i - l]; + } + } + } + + for (k = lf / 2 - 1; k < 2 * det_len + lf / 2 - 1; ++k) { + out[k - lf / 2 + 1] = X_lp[k]; + } + + if (j != 1) { + det_len = length[J - j + 2]; + } + } + + free(X_lp); + + } + else if (!strcmp(ext, "sym")) { + if (!strcmp((ctype), "appx")) { + det_len = length[0]; + } + else { + det_len = length[J - level + 1]; + } + + N = 2 * length[J] - 1; + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + + for (i = 0; i < det_len; ++i) { + out[i] = coeff[i]; + } + + for (j = level; j > 0; --j) { + + if (!strcmp((ctype), "det") && j == level) { + filt = hpr; + } + else { + filt = lpr; + } + + m = -2; + n = -1; + + for (v = 0; v < det_len; ++v) { + i = v; + m += 2; + n += 2; + X_lp[m] = 0.0; + X_lp[n] = 0.0; + for (l = 0; l < lf / 2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < det_len) { + X_lp[m] += filt[t] * out[i - l]; + X_lp[n] += filt[t + 1] * out[i - l]; + } + } + } + + for (k = lf - 2; k < 2 * det_len; ++k) { + out[k - lf + 2] = X_lp[k]; + } + + + if (j != 1) { + det_len = length[J - j + 2]; + } + } + + free(X_lp); + + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + for (i = 0; i < siglength; ++i) { + reccoeff[i] = out[i]; + } + + free(out); + +} + + +double *getDWTmra(wt_object wt, double *wavecoeffs) { + int i, J, access,N; + double *mra; + J = wt->J; + mra = (double*)malloc(sizeof(double)* wt->siglength*(J + 1)); + access = 0; + + + // Approximation MRA + getDWTRecCoeff(wt->output + access, wt->length, "appx", wt->ext, J, J, wt->wave->lpr, wt->wave->hpr, wt->wave->lpr_len, wt->siglength, mra); + + // Details MRA + N = wt->siglength; + for (i = J; i > 0; --i) { + access += wt->length[J - i]; + getDWTRecCoeff(wt->output + access, wt->length, "det", wt->ext, i, J, wt->wave->lpr, wt->wave->hpr, wt->wave->lpr_len, wt->siglength, mra+N); + N += wt->siglength; + } + + return mra; +} + +void wtree(wtree_object wt,const double *inp) { + int i,J,temp_len,iter,N,lp,p2,k,N2,Np; + int len_cA,t,t2,it1; + double *orig; + + temp_len = wt->siglength; + J = wt->J; + wt->length[J + 1] = temp_len; + wt->outlength = 0; + wt->zpad = 0; + orig = (double*)malloc(sizeof(double)* temp_len); + /* + if ((temp_len % 2) == 0) { + wt->zpad = 0; + orig = (double*)malloc(sizeof(double)* temp_len); + } + else { + wt->zpad = 1; + temp_len++; + orig = (double*)malloc(sizeof(double)* temp_len); + } + */ + for (i = 0; i < wt->siglength; ++i) { + orig[i] = inp[i]; + } + + if (wt->zpad == 1) { + orig[temp_len - 1] = orig[temp_len - 2]; + } + + N = temp_len; + lp = wt->wave->lpd_len; + p2 = 1; + + if (!strcmp(wt->ext,"per")) { + i = J; + p2 = 2; + while (i > 0) { + N = (int)ceil((double)N / 2.0); + wt->length[i] = N; + wt->outlength += p2 * (wt->length[i]); + i--; + p2 *= 2; + } + wt->length[0] = wt->length[1]; + + N2 = N = wt->outlength; + p2 = 1; + for (iter = 0; iter < J; ++iter) { + len_cA = wt->length[J - iter]; + N2 -= 2 * p2 * len_cA; + N = N2; + for(k = 0; k < p2;++k) { + if (iter == 0) { + wtree_per(wt, orig, temp_len, wt->params + N, len_cA, wt->params + N + len_cA); + } else { + wtree_per(wt, wt->params + Np + k * temp_len, temp_len, wt->params + N, len_cA, wt->params + N + len_cA); + } + N += 2 * len_cA; + } + + temp_len = wt->length[J - iter]; + p2 = 2 * p2; + Np = N2; + } + } + else if (!strcmp(wt->ext,"sym")) { + //printf("\n YES %s \n", wt->ext); + i = J; + p2 = 2; + while (i > 0) { + N = N + lp - 2; + N = (int) ceil((double)N / 2.0); + wt->length[i] = N; + wt->outlength += p2 * (wt->length[i]); + i--; + p2 *= 2; + } + wt->length[0] = wt->length[1]; + + N2 = N = wt->outlength; + p2 = 1; + + for (iter = 0; iter < J; ++iter) { + len_cA = wt->length[J - iter]; + N2 -= 2 * p2 * len_cA; + N = N2; + for(k = 0; k < p2;++k) { + if (iter == 0) { + wtree_sym(wt, orig, temp_len, wt->params + N, len_cA, wt->params + N + len_cA); + } else { + wtree_sym(wt, wt->params + Np + k * temp_len, temp_len, wt->params + N, len_cA, wt->params + N + len_cA); + } + N += 2 * len_cA; + } + + temp_len = wt->length[J - iter]; + p2 = 2 * p2; + Np = N2; + } + + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + J = wt->J; + t2 = wt->outlength - 2 * wt->length[J]; + p2 = 2; + it1 = 0; + for (i = 0; i < J; ++i) { + t = t2; + for (k = 0; k < p2; ++k) { + wt->nodelength[it1] = t; + it1++; + t += wt->length[J - i]; + } + p2 *= 2; + t2 = t2 - p2 * wt->length[J - i - 1]; + } + + wt->coeflength[0] = wt->siglength; + + for (i = 1; i < J + 1; ++i) { + wt->coeflength[i] = wt->length[J - i + 1]; + } + + free(orig); +} + +static int ipow2(int n) { + int p,i; + p = 1; + + for (i = 0; i < n; ++i) { + p *= 2; + } + + return p; +} + +void dwpt(wpt_object wt, const double *inp) { + int i, J, temp_len, iter, N, lp, p2, k, N2, Np; + int temp, elength, temp2,size,nodes,llb,n1,j; + double eparam,v1,v2; + int len_cA, t, t2, it1,it2; + double *orig,*tree; + int *nodelength; + + temp_len = wt->siglength; + J = wt->J; + wt->length[J + 1] = temp_len; + wt->outlength = 0; + temp = 1; + elength = 0; + size = wt->wave->filtlength; + nodes = wt->nodes; + n1 = nodes + 1; + for (i = 0; i < J; ++i) { + temp *= 2; + temp2 = (size - 2) * (temp - 1); + elength += temp2; + } + eparam = wt->eparam; + orig = (double*)malloc(sizeof(double)* temp_len); + tree = (double*)malloc(sizeof(double)* (temp_len * (J + 1) + elength)); + nodelength = (int*)malloc(sizeof(int)* nodes); + + for (i = 0; i < wt->siglength; ++i) { + orig[i] = inp[i]; + } + + for (i = 0; i < temp_len * (J + 1) + elength; ++i) { + tree[i] = 0.0; + } + + for (i = 0; i < nodes + 1; ++i) { + wt->basisvector[i] = 0.0; + wt->costvalues[i] = 0.0; + } + + N = temp_len; + lp = wt->wave->lpd_len; + p2 = 1; + + //set eparam value here + wt->costvalues[0] = costfunc(orig, wt->siglength, wt->entropy, eparam); + it2 = 1; + if (!strcmp(wt->ext, "per")) { + i = J; + p2 = 2; + while (i > 0) { + N = (int)ceil((double)N / 2.0); + wt->length[i] = N; + wt->outlength += p2 * (wt->length[i]); + i--; + p2 *= 2; + } + wt->length[0] = wt->length[1]; + + N2 = N = wt->outlength; + p2 = 1; + for (iter = 0; iter < J; ++iter) { + len_cA = wt->length[J - iter]; + N2 -= 2 * p2 * len_cA; + N = N2; + for (k = 0; k < p2; ++k) { + if (iter == 0) { + dwpt_per(wt, orig, temp_len, tree + N, len_cA, tree + N + len_cA); + } + else { + dwpt_per(wt, tree + Np + k * temp_len, temp_len, tree + N, len_cA, tree + N + len_cA); + } + wt->costvalues[it2] = costfunc(tree + N, len_cA, wt->entropy, eparam); + it2++; + wt->costvalues[it2] = costfunc(tree + N +len_cA, len_cA, wt->entropy, eparam); + it2++; + N += 2 * len_cA; + } + + temp_len = wt->length[J - iter]; + p2 = 2 * p2; + Np = N2; + } + } + else if (!strcmp(wt->ext, "sym")) { + //printf("\n YES %s \n", wt->ext); + i = J; + p2 = 2; + while (i > 0) { + N = N + lp - 2; + N = (int)ceil((double)N / 2.0); + wt->length[i] = N; + wt->outlength += p2 * (wt->length[i]); + i--; + p2 *= 2; + } + wt->length[0] = wt->length[1]; + + N2 = N = wt->outlength; + p2 = 1; + + for (iter = 0; iter < J; ++iter) { + len_cA = wt->length[J - iter]; + N2 -= 2 * p2 * len_cA; + N = N2; + for (k = 0; k < p2; ++k) { + if (iter == 0) { + dwpt_sym(wt, orig, temp_len, tree + N, len_cA, tree + N + len_cA); + } + else { + dwpt_sym(wt, tree + Np + k * temp_len, temp_len, tree + N, len_cA, tree + N + len_cA); + } + wt->costvalues[it2] = costfunc(tree + N, len_cA, wt->entropy, eparam); + it2++; + wt->costvalues[it2] = costfunc(tree + N + len_cA, len_cA, wt->entropy, eparam); + it2++; + N += 2 * len_cA; + } + + temp_len = wt->length[J - iter]; + p2 = 2 * p2; + Np = N2; + } + + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + J = wt->J; + t2 = wt->outlength - 2 * wt->length[J]; + p2 = 2; + it1 = 0; + for (i = 0; i < J; ++i) { + t = t2; + for (k = 0; k < p2; ++k) { + nodelength[it1] = t; + it1++; + t += wt->length[J - i]; + } + p2 *= 2; + t2 = t2 - p2 * wt->length[J - i - 1]; + } + + + J = wt->J; + llb = 1; + for (i = 0; i < J; ++i) { + llb *= 2; + } + + for (i = n1 - llb; i < n1; ++i) { + wt->basisvector[i] = 1; + } + + for (j = J - 1; j >= 0; --j) { + for (k = ipow2(j) - 1; k < ipow2(j + 1) - 1; ++k) { + v1 = wt->costvalues[k]; + v2 = wt->costvalues[2 * k + 1] + wt->costvalues[2 * k + 2]; + //printf(" %g %g", v1,v2); + if (v1 <= v2) { + wt->basisvector[k] = 1; + } + else { + wt->costvalues[k] = v2; + } + } + //printf("\n"); + } + + for (k = 0; k < nodes / 2; ++k) { + if (wt->basisvector[k] == 1 || wt->basisvector[k] == 2) { + wt->basisvector[2 * k + 1] = 2; + wt->basisvector[2 * k + 2] = 2; + } + } + + for (k = 0; k < n1; ++k) { + if (wt->basisvector[k] == 2) { + wt->basisvector[k] = 0; + } + } + + N2 = 0; + it1 = n1; + it2 = 0; + wt->nodes = 0; + wt->numnodeslevel[0] = 0; + //printf("Start \n"); + + if (wt->basisvector[0] == 1) { + wt->outlength = wt->siglength; + for (i = 0; i < wt->siglength; ++i) { + wt->output[i] = inp[i]; + } + wt->nodes = 1; + wt->nodeindex[0] = 0; + wt->nodeindex[1] = 0; + wt->numnodeslevel[0] = 1; + } + else { + for (i = J; i > 0; --i) { + llb = ipow2(i); + it1 -= llb; + wt->numnodeslevel[i] = 0; + for (j = 0; j < llb; ++j) { + if (wt->basisvector[it1 + j] == 1) { + //printf("NODE %d %d %d \n", i, j, wt->length[J - i + 1]); + wt->nodeindex[2 * wt->nodes] = i; + wt->nodeindex[2 * wt->nodes + 1] = j; + wt->nodes += 1; + wt->numnodeslevel[i] += 1; + for (k = 0; k < wt->length[J - i + 1]; ++k) { + wt->output[it2 + k] = tree[nodelength[it1 - 1 + j] + k];// access tree + } + it2 += wt->length[J - i + 1]; + } + } + } + wt->outlength = it2; + } + + wt->coeflength[0] = wt->siglength; + + for (i = 1; i < J + 1; ++i) { + wt->coeflength[i] = wt->length[J - i + 1]; + } + + free(orig); + free(tree); + free(nodelength); +} + +int getWTREENodelength(wtree_object wt, int X) { + int N; + N = -1; + /* + X - Level. All Nodes at any level have the same length + */ + if (X <= 0 || X > wt->J) { + printf("X co-ordinate must be >= 1 and <= %d", wt->J); + exit(-1); + } + + N = wt->length[wt->J -X + 1]; + + return N; +} + +int getDWPTNodelength(wpt_object wt, int X) { + int N; + N = -1; + /* + X - Level. All Nodes at any level have the same length + */ + if (X <= 0 || X > wt->J) { + printf("X co-ordinate must be >= 1 and <= %d", wt->J); + exit(-1); + } + + N = wt->length[wt->J - X + 1]; + + return N; +} + +void getWTREECoeffs(wtree_object wt, int X,int Y,double *coeffs,int N) { + int ymax,i,t,t2; + + if (X <= 0 || X > wt->J) { + printf("X co-ordinate must be >= 1 and <= %d", wt->J); + exit(-1); + } + ymax = 1; + for (i = 0; i < X; ++i) { + ymax *= 2; + } + + ymax -= 1; + + if (Y < 0 ||Y > ymax) { + printf("Y co-ordinate must be >= 0 and <= %d", ymax); + exit(-1); + } + + if (X == 1) { + t = 0; + } + else { + t = 0; + t2 = 1; + for (i = 0; i < X - 1; ++i) { + t2 *= 2; + t += t2; + } + } + + t += Y; + t2 = wt->nodelength[t]; + for (i = 0; i < N; ++i) { + coeffs[i] = wt->output[t2+i]; + } + +} + +void getDWPTCoeffs(wpt_object wt, int X, int Y, double *coeffs, int N) { + int ymax, i; + int np,citer; + int flag; + + if (X <= 0 || X > wt->J) { + printf("X co-ordinate must be >= 1 and <= %d", wt->J); + exit(-1); + } + ymax = 1; + for (i = 0; i < X; ++i) { + ymax *= 2; + } + + ymax -= 1; + + if (Y < 0 || Y > ymax) { + printf("Y co-ordinate must be >= 0 and <= %d", ymax); + exit(-1); + } + + np = 0; + citer = 0; + + for (i = wt->J; i > X; --i) { + np += wt->numnodeslevel[i]; + citer += wt->numnodeslevel[i] * wt->coeflength[i]; + } + + i = 0; + flag = 0; + for (i = 0; i < wt->numnodeslevel[X]; ++i) { + if (wt->nodeindex[2 * np + 1] == Y) { + flag = 1; + break; + } + np++; + citer += wt->coeflength[X]; + } + + if (flag == 0) { + printf("The Node is Not Part Of The Best Basis Tree Use wpt_summary function to list available nodes \n"); + exit(-1); + } + + for (i = 0; i < N; ++i) { + coeffs[i] = wt->output[citer + i]; + } + +} + +int getCWTScaleLength(int N) { + int J; + double temp,dj; + + dj = 0.4875; + + temp = (log((double)N / 2.0) / log(2.0)) / dj; + J = (int)temp; + + return J; +} + +void setCWTScales(cwt_object wt, double s0, double dj,const char *type,int power) { + int i; + strcpy(wt->type,type); + //s0*pow(2.0, (double)(j - 1)*dj); + if (!strcmp(wt->type, "pow") || !strcmp(wt->type, "power")) { + for (i = 0; i < wt->J; ++i) { + wt->scale[i] = s0*pow((double) power, (double)(i)*dj); + } + wt->sflag = 1; + wt->pow = power; + + } + else if (!strcmp(wt->type, "lin") || !strcmp(wt->type, "linear")) { + for (i = 0; i < wt->J; ++i) { + wt->scale[i] = s0 + (double)i * dj; + } + wt->sflag = 1; + } + else { + printf("\n Type accepts only two values : pow and lin\n"); + exit(-1); + } + wt->s0 = s0; + wt->dj = dj; +} + +void setCWTScaleVector(cwt_object wt, const double *scale, int J,double s0,double dj) { + int i; + + if (J != wt->J) { + printf("\n CWT object is only valid for %d scales\n", wt->J); + exit(-1); + } + + for (i = 0; i < wt->J; ++i) { + wt->scale[i] = scale[i]; + } + wt->dj = dj; + wt->s0 = s0; + wt->sflag = 1; +} + +void setCWTPadding(cwt_object wt, int pad) { + if (pad == 0) { + wt->pflag = 0; + } + else { + wt->pflag = 1; + } +} + +void cwt(cwt_object wt, const double *inp) { + int i, N, npad,nj2,j,j2; + N = wt->siglength; + if (wt->sflag == 0) { + for (i = 0; i < wt->J; ++i) { + wt->scale[i] = wt->s0*pow(2.0, (double)(i)*wt->dj); + } + wt->sflag = 1; + } + + if (wt->pflag == 0) { + npad = N; + } + else { + npad = wt->npad; + } + + nj2 = 2 * N * wt->J; + j = wt->J; + j2 = 2 * j; + + wt->smean = 0.0; + + for (i = 0; i < N; ++i) { + wt->smean += inp[i]; + } + wt->smean /= N; + + cwavelet(inp, N, wt->dt, wt->mother, wt->m, wt->s0,wt->dj,wt->J,npad,wt->params, wt->params+nj2, wt->params+nj2+j, wt->params+nj2+j2); + +} + +void icwt(cwt_object wt, double *cwtop) { + double psi, cdel; + int real,i,N,nj2; + + N = wt->siglength; + nj2 = N * 2 * wt->J; + + psi0(wt->mother, wt->m, &psi, &real); + cdel = cdelta(wt->mother, wt->m, psi); + + //printf("\n PSI %g CDEL %g param %g mother %d \n", psi, cdel,wt->m,wt->mother); + if ((!strcmp(wt->type, "pow") || !strcmp(wt->type, "power")) && wt->pow == 2) { + icwavelet(wt->params, N, wt->params+nj2, wt->J, wt->dt, wt->dj, cdel, psi, cwtop); + } else { + printf("Inverse CWT is only available for power of 2.0 scales \n"); + exit(-1); + } + for(i = 0; i < N;++i) { + cwtop[i] += wt->smean; + } + +} + +static void idwt1(wt_object wt,double *temp, double *cA_up,double *cA, int len_cA,double *cD,int len_cD,double *X_lp,double *X_hp,double *X) { + int len_avg, N, U,N2,i; + + len_avg = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + N = 2 * len_cD; + U = 2; + + upsamp2(cA, len_cA, U, cA_up); + + per_ext(cA_up, 2 * len_cA, len_avg / 2, temp); + + N2 = 2 * len_cA + len_avg; + + if (wt->wave->lpr_len == wt->wave->hpr_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + wt->cobj = conv_init(N2, len_avg); + wt->cfftset = 1; + } + else if (!(wt->wave->lpr_len == wt->wave->hpr_len)) { + printf("Decomposition Filters must have the same length."); + exit(-1); + } + + wconv(wt, temp, N2, wt->wave->lpr, len_avg, X_lp); + + upsamp2(cD, len_cD, U, cA_up); + + per_ext(cA_up, 2 * len_cD, len_avg / 2, temp); + + N2 = 2 * len_cD + len_avg; + + wconv(wt, temp, N2, wt->wave->hpr, len_avg, X_hp); + + + for (i = len_avg - 1; i < N + len_avg - 1; ++i) { + X[i - len_avg + 1] = X_lp[i] + X_hp[i]; + } + + if (wt->wave->lpr_len == wt->wave->hpr_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + free_conv(wt->cobj); + wt->cfftset = 0; + } + +} + +static void idwt_per(wt_object wt, double *cA, int len_cA, double *cD, double *X) { + idwt_per_stride(cA,len_cA,cD, wt->wave->lpr, wt->wave->hpr, wt->wave->lpr_len, X,1,1); +} + +static void idwt_sym(wt_object wt, double *cA, int len_cA, double *cD, double *X) { + idwt_sym_stride(cA,len_cA,cD, wt->wave->lpr, wt->wave->hpr, wt->wave->lpr_len, X,1,1); +} + + +void idwt(wt_object wt, double *dwtop) { + int J,U,i,lf,N,N2,iter,k; + int app_len, det_len; + double *cA_up, *X_lp, *X_hp,*out,*temp; + + J = wt->J; + U = 2; + app_len = wt->length[0]; + out = (double*)malloc(sizeof(double)* (wt->siglength + 1)); + if (!strcmp(wt->ext, "per") && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + app_len = wt->length[0]; + det_len = wt->length[1]; + N = 2 * wt->length[J]; + lf = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + + cA_up = (double*)malloc(sizeof(double)* N); + temp = (double*)malloc(sizeof(double)* (N + lf)); + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + X_hp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + iter = app_len; + + for (i = 0; i < app_len; ++i) { + out[i] = wt->output[i]; + } + + for (i = 0; i < J; ++i) { + + idwt1(wt,temp,cA_up,out,det_len,wt->output+iter,det_len,X_lp,X_hp,out); + /* + idwt_per(wt,out, det_len, wt->output + iter, det_len, X_lp); + for (k = lf/2 - 1; k < 2 * det_len + lf/2 - 1; ++k) { + out[k - lf/2 + 1] = X_lp[k]; + } + */ + iter += det_len; + det_len = wt->length[i + 2]; + } + free(cA_up); + free(X_lp); + free(X_hp); + free(temp); + + } + else if (!strcmp(wt->ext, "per") && !strcmp(wt->cmethod, "direct")) { + app_len = wt->length[0]; + det_len = wt->length[1]; + N = 2 * wt->length[J]; + lf = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + iter = app_len; + + for (i = 0; i < app_len; ++i) { + out[i] = wt->output[i]; + } + + for (i = 0; i < J; ++i) { + + //idwt1(wt, temp, cA_up, out, det_len, wt->output + iter, det_len, X_lp, X_hp, out); + + idwt_per(wt,out, det_len, wt->output + iter, X_lp); + for (k = lf/2 - 1; k < 2 * det_len + lf/2 - 1; ++k) { + out[k - lf/2 + 1] = X_lp[k]; + } + + iter += det_len; + det_len = wt->length[i + 2]; + } + + free(X_lp); + + } + else if (!strcmp(wt->ext, "sym") && !strcmp(wt->cmethod, "direct")) { + app_len = wt->length[0]; + det_len = wt->length[1]; + N = 2 * wt->length[J] - 1; + lf = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + iter = app_len; + + for (i = 0; i < app_len; ++i) { + out[i] = wt->output[i]; + } + + for (i = 0; i < J; ++i) { + + //idwt1(wt, temp, cA_up, out, det_len, wt->output + iter, det_len, X_lp, X_hp, out); + + idwt_sym(wt, out, det_len, wt->output + iter, X_lp); + for (k = lf-2; k < 2 * det_len; ++k) { + out[k - lf + 2] = X_lp[k]; + } + + iter += det_len; + det_len = wt->length[i + 2]; + } + + free(X_lp); + + } + else if (!strcmp(wt->ext, "sym") && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + lf = wt->wave->lpd_len;// lpd and hpd have the same length + + N = 2 * wt->length[J] - 1; + cA_up = (double*)malloc(sizeof(double)* N); + X_lp = (double*)malloc(sizeof(double)* (N + lf - 1)); + X_hp = (double*)malloc(sizeof(double)* (N + lf - 1)); + + for (i = 0; i < app_len; ++i) { + out[i] = wt->output[i]; + } + + iter = app_len; + + for (i = 0; i < J; ++i) { + det_len = wt->length[i + 1]; + upsamp(out, det_len, U, cA_up); + N2 = 2 * wt->length[i + 1] - 1; + + if (wt->wave->lpr_len == wt->wave->hpr_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + wt->cobj = conv_init(N2, lf); + wt->cfftset = 1; + } + else if (!(wt->wave->lpr_len == wt->wave->hpr_len)) { + printf("Decomposition Filters must have the same length."); + exit(-1); + } + + wconv(wt, cA_up, N2, wt->wave->lpr, lf, X_lp); + + upsamp(wt->output + iter, det_len, U, cA_up); + + wconv(wt, cA_up, N2, wt->wave->hpr, lf, X_hp); + + for (k = lf - 2; k < N2 + 1; ++k) { + out[k - lf + 2] = X_lp[k] + X_hp[k]; + } + iter += det_len; + if (wt->wave->lpr_len == wt->wave->hpr_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + free_conv(wt->cobj); + wt->cfftset = 0; + } + } + + free(cA_up); + free(X_lp); + free(X_hp); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + for (i = 0; i < wt->siglength; ++i) { + dwtop[i] = out[i]; + } + + + free(out); + +} + +static void idwpt_per(wpt_object wt, double *cA, int len_cA, double *cD, double *X) { + int len_avg, i, l, m, n, t, l2; + + len_avg = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + l2 = len_avg / 2; + m = -2; + n = -1; + + for (i = 0; i < len_cA + l2 - 1; ++i) { + m += 2; + n += 2; + X[m] = 0.0; + X[n] = 0.0; + for (l = 0; l < l2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < len_cA) { + X[m] += wt->wave->lpr[t] * cA[i - l] + wt->wave->hpr[t] * cD[i - l]; + X[n] += wt->wave->lpr[t + 1] * cA[i - l] + wt->wave->hpr[t + 1] * cD[i - l]; + } + else if ((i - l) >= len_cA && (i - l) < len_cA + len_avg - 1) { + X[m] += wt->wave->lpr[t] * cA[i - l - len_cA] + wt->wave->hpr[t] * cD[i - l - len_cA]; + X[n] += wt->wave->lpr[t + 1] * cA[i - l - len_cA] + wt->wave->hpr[t + 1] * cD[i - l - len_cA]; + } + else if ((i - l) < 0 && (i - l) > -l2) { + X[m] += wt->wave->lpr[t] * cA[len_cA + i - l] + wt->wave->hpr[t] * cD[len_cA + i - l]; + X[n] += wt->wave->lpr[t + 1] * cA[len_cA + i - l] + wt->wave->hpr[t + 1] * cD[len_cA + i - l]; + } + } + } +} + +static void idwpt_sym(wpt_object wt, double *cA, int len_cA, double *cD, double *X) { + int len_avg, i, l, m, n, t, v; + + len_avg = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + m = -2; + n = -1; + + for (v = 0; v < len_cA; ++v) { + i = v; + m += 2; + n += 2; + X[m] = 0.0; + X[n] = 0.0; + for (l = 0; l < len_avg / 2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < len_cA) { + X[m] += wt->wave->lpr[t] * cA[i - l] + wt->wave->hpr[t] * cD[i - l]; + X[n] += wt->wave->lpr[t + 1] * cA[i - l] + wt->wave->hpr[t + 1] * cD[i - l]; + } + } + } +} + +void idwpt(wpt_object wt, double *dwtop) { + int J, i, lf, k,p,l; + int app_len, det_len, index, n1, llb, index2, index3, index4,indexp,xlen; + double *X_lp, *X, *out, *out2; + int *prep,*ptemp; + + J = wt->J; + app_len = wt->length[0]; + p = ipow2(J); + lf = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + xlen = p * (app_len + 2 * lf); + + X_lp = (double*)malloc(sizeof(double)* 2 * (wt->length[J] + lf)); + X = (double*)malloc(sizeof(double)* xlen); + out = (double*)malloc(sizeof(double)* wt->length[J]); + out2 = (double*)malloc(sizeof(double)* wt->length[J]); + prep = (int*)malloc(sizeof(int)* p); + ptemp = (int*)malloc(sizeof(int)* p); + n1 = 1; + llb = 1; + index2 = xlen / p; + indexp = 0; + if (wt->basisvector[0] == 1) { + for (i = 0; i < wt->siglength; ++i) { + dwtop[i] = wt->output[i]; + } + + } + else { + for (i = 0; i < J; ++i) { + llb *= 2; + n1 += llb; + } + + for (i = 0; i < xlen; ++i) { + X[i] = 0.0; + } + + for (i = 0; i < llb; ++i) { + prep[i] = (int)wt->basisvector[n1 - llb + i]; + ptemp[i] = 0; + } + + if (!strcmp(wt->ext, "per")) { + app_len = wt->length[0]; + det_len = wt->length[1]; + index = 0; + + + for (i = 0; i < J; ++i) { + p = ipow2(J - i - 1); + det_len = wt->length[i + 1]; + index2 *= 2; + index3 = 0; + index4 = 0; + //idwt1(wt, temp, cA_up, out, det_len, wt->output + iter, det_len, X_lp, X_hp, out); + n1 -= llb; + for (l = 0; l < llb; ++l) { + if (ptemp[l] != 2) { + prep[l] = (int)wt->basisvector[n1 + l]; + } + else { + prep[l] = ptemp[l]; + } + ptemp[l] = 0; + } + + + for (l = 0; l < p; ++l) { + if (prep[2 * l] == 1 && prep[2 * l + 1] == 1) { + for (k = 0; k < det_len; ++k) { + out[k] = wt->output[index + k]; + out2[k] = wt->output[index + det_len + k]; + } + idwpt_per(wt, out, det_len, out2, X_lp); + for (k = lf / 2 - 1; k < 2 * det_len + lf / 2 - 1; ++k) { + X[index3 + k - lf / 2 + 1] = X_lp[k]; + } + index += 2 * det_len; + index3 += index2; + index4 += 2 * indexp; + ptemp[l] = 2; + } + else if (prep[2 * l] == 1 && prep[2 * l + 1] == 2) { + index4 += indexp; + for (k = 0; k < det_len; ++k) { + out[k] = wt->output[index + k]; + out2[k] = X[index4 + k]; + } + idwpt_per(wt, out, det_len, out2, X_lp); + for (k = lf / 2 - 1; k < 2 * det_len + lf / 2 - 1; ++k) { + X[index3 + k - lf / 2 + 1] = X_lp[k]; + } + index += det_len; + index3 += index2; + index4 += indexp; + ptemp[l] = 2; + } + else if (prep[2 * l] == 2 && prep[2 * l + 1] == 1) { + for (k = 0; k < det_len; ++k) { + out[k] = X[index4 + k]; + out2[k] = wt->output[index + k]; + } + idwpt_per(wt, out, det_len, out2, X_lp); + for (k = lf / 2 - 1; k < 2 * det_len + lf / 2 - 1; ++k) { + X[index3 + k - lf / 2 + 1] = X_lp[k]; + } + index += det_len; + index3 += index2; + index4 += 2 * indexp; + ptemp[l] = 2; + } + else if (prep[2 * l] == 2 && prep[2 * l + 1] == 2) { + for (k = 0; k < det_len; ++k) { + out[k] = X[index4 + k]; + out2[k] = X[index4 + indexp + k]; + } + idwpt_per(wt, out, det_len, out2, X_lp); + for (k = lf / 2 - 1; k < 2 * det_len + lf / 2 - 1; ++k) { + X[index3 + k - lf / 2 + 1] = X_lp[k]; + } + index4 += 2 * indexp; + index3 += index2; + ptemp[l] = 2; + } + else { + index3 += index2; + index4 += 2 * indexp; + } + + } + + + /* + idwt_per(wt, out, det_len, wt->output + iter, det_len, X_lp); + for (k = lf / 2 - 1; k < 2 * det_len + lf / 2 - 1; ++k) { + out[k - lf / 2 + 1] = X_lp[k]; + } + + iter += det_len; + det_len = wt->length[i + 2]; + */ + llb /= 2; + indexp = index2; + } + + //free(X_lp); + + } + else if (!strcmp(wt->ext, "sym")) { + app_len = wt->length[0]; + det_len = wt->length[1]; + + //X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + index = 0; + + for (i = 0; i < J; ++i) { + p = ipow2(J - i - 1); + det_len = wt->length[i + 1]; + index2 *= 2; + index3 = 0; + index4 = 0; + //idwt1(wt, temp, cA_up, out, det_len, wt->output + iter, det_len, X_lp, X_hp, out); + n1 -= llb; + for (l = 0; l < llb; ++l) { + if (ptemp[l] != 2) { + prep[l] = (int)wt->basisvector[n1 + l]; + } + else { + prep[l] = ptemp[l]; + } + ptemp[l] = 0; + } + + + for (l = 0; l < p; ++l) { + if (prep[2 * l] == 1 && prep[2 * l + 1] == 1) { + for (k = 0; k < det_len; ++k) { + out[k] = wt->output[index + k]; + out2[k] = wt->output[index + det_len + k]; + } + idwpt_sym(wt, out, det_len, out2, X_lp); + for (k = lf - 2; k < 2 * det_len; ++k) { + X[index3 + k - lf + 2] = X_lp[k]; + } + index += 2 * det_len; + index3 += index2; + index4 += 2 * indexp; + ptemp[l] = 2; + } + else if (prep[2 * l] == 1 && prep[2 * l + 1] == 2) { + index4 += indexp; + for (k = 0; k < det_len; ++k) { + out[k] = wt->output[index + k]; + out2[k] = X[index4 + k]; + } + idwpt_sym(wt, out, det_len, out2, X_lp); + for (k = lf - 2; k < 2 * det_len; ++k) { + X[index3 + k - lf + 2] = X_lp[k]; + } + index += det_len; + index3 += index2; + index4 += indexp; + ptemp[l] = 2; + } + else if (prep[2 * l] == 2 && prep[2 * l + 1] == 1) { + for (k = 0; k < det_len; ++k) { + out[k] = X[index4 + k]; + out2[k] = wt->output[index + k]; + } + idwpt_sym(wt, out, det_len, out2, X_lp); + for (k = lf - 2; k < 2 * det_len; ++k) { + X[index3 + k - lf + 2] = X_lp[k]; + } + index += det_len; + index3 += index2; + index4 += 2 * indexp; + ptemp[l] = 2; + } + else if (prep[2 * l] == 2 && prep[2 * l + 1] == 2) { + for (k = 0; k < det_len; ++k) { + out[k] = X[index4 + k]; + out2[k] = X[index4 + indexp + k]; + } + idwpt_sym(wt, out, det_len, out2, X_lp); + for (k = lf - 2; k < 2 * det_len; ++k) { + X[index3 + k - lf + 2] = X_lp[k]; + } + index4 += 2 * indexp; + index3 += index2; + ptemp[l] = 2; + } + else { + index3 += index2; + index4 += 2 * indexp; + } + + } + + //idwt1(wt, temp, cA_up, out, det_len, wt->output + iter, det_len, X_lp, X_hp, out); + /* + idwpt_sym(wt, out, det_len, wt->output + iter, det_len, X_lp); + for (k = lf - 2; k < 2 * det_len; ++k) { + out[k - lf + 2] = X_lp[k]; + } + + iter += det_len; + det_len = wt->length[i + 2]; + */ + llb /= 2; + indexp = index2; + } + + //free(X_lp); + + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + + for (i = 0; i < wt->siglength; ++i) { + //printf("%g ", X[i]); + dwtop[i] = X[i]; + } + + } + + + free(out); + free(X_lp); + free(X); + free(out2); + free(prep); + free(ptemp); +} + + +static void swt_per(wt_object wt,int M, double *inp, int N, double *cA, int len_cA, double *cD) { + + swt_per_stride(M,inp,N,wt->wave->lpd,wt->wave->hpd, wt->wave->lpd_len, cA,len_cA,cD,1,1); +} + +static void swt_fft(wt_object wt, const double *inp) { + int i, J, temp_len, iter, M, N, len_filt; + int lenacc; + double *low_pass, *high_pass,*sig,*cA,*cD; + + temp_len = wt->siglength; + J = wt->J; + wt->length[0] = wt->length[J] = temp_len; + wt->outlength = wt->length[J+1] = (J + 1) * temp_len; + M = 1; + for (iter = 1; iter < J; ++iter) { + M = 2 * M; + wt->length[iter] = temp_len; + } + + len_filt = wt->wave->filtlength; + + low_pass = (double*)malloc(sizeof(double)* M * len_filt); + high_pass = (double*)malloc(sizeof(double)* M * len_filt); + sig = (double*)malloc(sizeof(double)* (M * len_filt + temp_len + (temp_len%2))); + cA = (double*)malloc(sizeof(double)* (2 * M * len_filt + temp_len + (temp_len % 2)) - 1); + cD = (double*)malloc(sizeof(double)* (2 * M * len_filt + temp_len + (temp_len % 2)) - 1); + + M = 1; + + for (i = 0; i < temp_len; ++i) { + wt->params[i] = inp[i]; + } + + lenacc = wt->outlength; + + for (iter = 0; iter < J; ++iter) { + lenacc -= temp_len; + if (iter > 0) { + M = 2 * M; + N = M * len_filt; + upsamp2(wt->wave->lpd, wt->wave->lpd_len, M, low_pass); + upsamp2(wt->wave->hpd, wt->wave->hpd_len, M, high_pass); + } + else { + N = len_filt; + for (i = 0; i < N; ++i) { + low_pass[i] = wt->wave->lpd[i]; + high_pass[i] = wt->wave->hpd[i]; + } + } + + //swt_per(wt,M, wt->params, temp_len, cA, temp_len, cD,temp_len); + + per_ext(wt->params, temp_len, N / 2, sig); + + if (wt->wave->lpd_len == wt->wave->hpd_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + wt->cobj = conv_init(N + temp_len + (temp_len % 2), N); + wt->cfftset = 1; + } + else if (!(wt->wave->lpd_len == wt->wave->hpd_len)) { + printf("Decomposition Filters must have the same length."); + exit(-1); + } + + + wconv(wt, sig, N + temp_len + (temp_len % 2), low_pass, N, cA); + + wconv(wt, sig, N + temp_len + (temp_len % 2), high_pass, N, cD); + + if (wt->wave->lpd_len == wt->wave->hpd_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + free_conv(wt->cobj); + wt->cfftset = 0; + } + + for (i = 0; i < temp_len; ++i) { + wt->params[i] = cA[N + i]; + wt->params[lenacc + i] = cD[N + i]; + } + + + } + + free(low_pass); + free(high_pass); + free(sig); + free(cA); + free(cD); +} + +static void swt_direct(wt_object wt, const double *inp) { + int i, J, temp_len, iter, M; + int lenacc; + double *cA, *cD; + + temp_len = wt->siglength; + J = wt->J; + wt->length[0] = wt->length[J] = temp_len; + wt->outlength = wt->length[J + 1] = (J + 1) * temp_len; + M = 1; + for (iter = 1; iter < J; ++iter) { + M = 2 * M; + wt->length[iter] = temp_len; + } + + + cA = (double*)malloc(sizeof(double)* temp_len); + cD = (double*)malloc(sizeof(double)* temp_len); + + M = 1; + + for (i = 0; i < temp_len; ++i) { + wt->params[i] = inp[i]; + } + + lenacc = wt->outlength; + + for (iter = 0; iter < J; ++iter) { + lenacc -= temp_len; + if (iter > 0) { + M = 2 * M; + } + + swt_per(wt, M, wt->params, temp_len, cA, temp_len, cD); + + + for (i = 0; i < temp_len; ++i) { + wt->params[i] = cA[i]; + wt->params[lenacc + i] = cD[i]; + } + + } + + free(cA); + free(cD); + +} + + +void swt(wt_object wt, const double *inp) { + if (!strcmp(wt->method, "swt") && !strcmp(wt->cmethod, "direct") ) { + swt_direct(wt,inp); + } + else if (!strcmp(wt->method, "swt") && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + swt_fft(wt, inp); + } + else { + printf("SWT Only accepts two methods - direct and fft"); + exit(-1); + } +} + +static void getSWTRecCoeff(double *coeff, int *length, const char *ctype, int level, int J, double *lpr, + double *hpr, int lf, int siglength, double *swtop) { + int N, iter, i, index, value, count, len; + int index_shift, len0, U, N1, index2; + double *appx1, *det1, *appx_sig, *det_sig, *cL0, *cH0, *tempx, *oup00L, *oup00H, *oup00, *oup01, *appx2, *det2; + + N = siglength; + U = 2; + + appx_sig = (double*)malloc(sizeof(double)* N); + det_sig = (double*)malloc(sizeof(double)* N); + appx1 = (double*)malloc(sizeof(double)* N); + det1 = (double*)malloc(sizeof(double)* N); + appx2 = (double*)malloc(sizeof(double)* N); + det2 = (double*)malloc(sizeof(double)* N); + tempx = (double*)malloc(sizeof(double)* N); + cL0 = (double*)malloc(sizeof(double)* (N + (N % 2) + lf)); + cH0 = (double*)malloc(sizeof(double)* (N + (N % 2) + lf)); + oup00L = (double*)malloc(sizeof(double)* (N + 2 * lf)); + oup00H = (double*)malloc(sizeof(double)* (N + 2 * lf)); + oup00 = (double*)malloc(sizeof(double)* N); + oup01 = (double*)malloc(sizeof(double)* N); + + + + for (iter = J-level; iter < J; ++iter) { + for (i = 0; i < N; ++i) { + swtop[i] = 0.0; + } + if (!strcmp((ctype), "appx") && (iter == (J-level))) { + for (i = 0; i < N; ++i) { + appx_sig[i] = coeff[i]; + det_sig[i] = 0.0; + } + } + else if (!strcmp((ctype), "det") && (iter == (J-level))) { + for (i = 0; i < N; ++i) { + det_sig[i] = coeff[i]; + appx_sig[i] = 0.0; + } + } + else { + for (i = 0; i < N; ++i) { + det_sig[i] = 0.0; + } + } + + value = (int)pow(2.0, (double)(J - 1 - iter)); + + for (count = 0; count < value; count++) { + len = 0; + for (index = count; index < N; index += value) { + appx1[len] = appx_sig[index]; + det1[len] = det_sig[index]; + len++; + } + + + //SHIFT 0 + len0 = 0; + + for (index_shift = 0; index_shift < len; index_shift += 2) { + appx2[len0] = appx1[index_shift]; + det2[len0] = det1[index_shift]; + len0++; + } + upsamp2(appx2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cL0); + + upsamp2(det2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cH0); + + N1 = 2 * len0 + lf; + + + + conv_direct(cL0, N1, lpr, lf, oup00L); + + + conv_direct(cH0, N1, hpr, lf, oup00H); + + for (i = lf - 1; i < 2 * len0 + lf - 1; ++i) { + oup00[i - lf + 1] = oup00L[i] + oup00H[i]; + } + + //SHIFT 1 + + len0 = 0; + + for (index_shift = 1; index_shift < len; index_shift += 2) { + appx2[len0] = appx1[index_shift]; + det2[len0] = det1[index_shift]; + len0++; + } + + upsamp2(appx2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cL0); + + upsamp2(det2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cH0); + + N1 = 2 * len0 + lf; + + conv_direct(cL0, N1, lpr, lf, oup00L); + + conv_direct(cH0, N1, hpr, lf, oup00H); + + for (i = lf - 1; i < 2 * len0 + lf - 1; ++i) { + oup01[i - lf + 1] = oup00L[i] + oup00H[i]; + } + + circshift(oup01, 2 * len0, -1); + + index2 = 0; + + for (index = count; index < N; index += value) { + swtop[index] = (oup00[index2] + oup01[index2]) / 2.0; + index2++; + } + + } + for (i = 0; i < N; ++i) { + appx_sig[i] = swtop[i]; + } + + } + + + + free(appx_sig); + free(det_sig); + free(appx1); + free(det1); + free(tempx); + free(cL0); + free(cH0); + free(oup00L); + free(oup00H); + free(oup00); + free(oup01); + free(appx2); + free(det2); +} + +double *getSWTmra(wt_object wt, double *wavecoeffs) { + int i, J, access, N; + double *mra; + J = wt->J; + mra = (double*)malloc(sizeof(double)* wt->siglength*(J + 1)); + access = 0; + + + // Approximation MRA + getSWTRecCoeff(wt->output + access, wt->length, "appx", J, J, wt->wave->lpr, wt->wave->hpr, wt->wave->lpr_len, wt->siglength, mra); + // Details MRA + N = wt->siglength; + + for (i = J; i > 0; --i) { + access += wt->length[J - i]; + getSWTRecCoeff(wt->output + access, wt->length, "det", i, J, wt->wave->lpr, wt->wave->hpr, wt->wave->lpr_len, wt->siglength, mra+N); + N += wt->siglength; + } + + return mra; +} + +void iswt(wt_object wt, double *swtop) { + int N, lf, iter,i,J,index,value,count,len; + int index_shift,len0,U,N1,index2; + double *appx1, *det1,*appx_sig,*det_sig,*cL0,*cH0,*tempx,*oup00L,*oup00H,*oup00,*oup01,*appx2,*det2; + + N = wt->siglength; + J = wt->J; + U = 2; + lf = wt->wave->lpr_len; + + appx_sig = (double*)malloc(sizeof(double)* N); + det_sig = (double*)malloc(sizeof(double)* N); + appx1 = (double*)malloc(sizeof(double)* N); + det1 = (double*)malloc(sizeof(double)* N); + appx2 = (double*)malloc(sizeof(double)* N); + det2 = (double*)malloc(sizeof(double)* N); + tempx = (double*)malloc(sizeof(double)* N); + cL0 = (double*)malloc(sizeof(double)* (N + (N%2) + lf)); + cH0 = (double*)malloc(sizeof(double)* (N + (N % 2) + lf)); + oup00L = (double*)malloc(sizeof(double)* (N + 2 * lf)); + oup00H = (double*)malloc(sizeof(double)* (N + 2 * lf)); + oup00 = (double*)malloc(sizeof(double)* N); + oup01 = (double*)malloc(sizeof(double)* N); + + + + for (iter = 0; iter < J; ++iter) { + for (i = 0; i < N; ++i) { + swtop[i] = 0.0; + } + if (iter == 0) { + for (i = 0; i < N; ++i) { + appx_sig[i] = wt->output[i]; + det_sig[i] = wt->output[N + i]; + } + } + else { + for (i = 0; i < N; ++i) { + det_sig[i] = wt->output[(iter + 1) * N + i]; + } + } + + value = (int)pow(2.0, (double) (J - 1 - iter)); + + for (count = 0; count < value; count++) { + len = 0; + for (index = count; index < N; index += value) { + appx1[len] = appx_sig[index]; + det1[len] = det_sig[index]; + len++; + } + + + //SHIFT 0 + len0 = 0; + + for (index_shift = 0; index_shift < len; index_shift += 2) { + appx2[len0] = appx1[index_shift]; + det2[len0] = det1[index_shift]; + len0++; + } + upsamp2(appx2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cL0); + + upsamp2(det2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cH0); + + N1 = 2 * len0 + lf; + + if (wt->wave->lpr_len == wt->wave->hpr_len && (!strcmp(wt->cmethod, "fft") || !strcmp(wt->cmethod, "FFT"))) { + wt->cobj = conv_init(N1, lf); + wt->cfftset = 1; + } + else if (!(wt->wave->lpd_len == wt->wave->hpd_len)) { + printf("Decomposition Filters must have the same length."); + exit(-1); + } + + wconv(wt, cL0, N1, wt->wave->lpr, lf, oup00L); + + wconv(wt, cH0, N1, wt->wave->hpr, lf, oup00H); + + for (i = lf - 1; i < 2 * len0 + lf - 1; ++i) { + oup00[i - lf + 1] = oup00L[i] + oup00H[i]; + } + + //SHIFT 1 + + len0 = 0; + + for (index_shift = 1; index_shift < len; index_shift += 2) { + appx2[len0] = appx1[index_shift]; + det2[len0] = det1[index_shift]; + len0++; + } + + upsamp2(appx2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cL0); + + upsamp2(det2, len0, U, tempx); + per_ext(tempx, 2 * len0, lf / 2, cH0); + + N1 = 2 * len0 + lf; + + wconv(wt, cL0, N1, wt->wave->lpr, lf, oup00L); + + wconv(wt, cH0, N1, wt->wave->hpr, lf, oup00H); + + for (i = lf - 1; i < 2 * len0 + lf - 1; ++i) { + oup01[i - lf + 1] = oup00L[i] + oup00H[i]; + } + + circshift(oup01, 2*len0, -1); + + index2 = 0; + + for (index = count; index < N; index += value) { + swtop[index] = (oup00[index2] + oup01[index2]) / 2.0; + index2++; + } + + } + for (i = 0; i < N; ++i) { + appx_sig[i] = swtop[i]; + } + + } + + + + free(appx_sig); + free(det_sig); + free(appx1); + free(det1); + free(tempx); + free(cL0); + free(cH0); + free(oup00L); + free(oup00H); + free(oup00); + free(oup01); + free(appx2); + free(det2); +} + +static void modwt_per(wt_object wt, int M, double *inp, double *cA, int len_cA, double *cD) { + int l, i, t, len_avg; + double s; + double *filt; + len_avg = wt->wave->lpd_len; + + filt = (double*)malloc(sizeof(double)* 2 * len_avg); + s = sqrt(2.0); + for (i = 0; i < len_avg; ++i) { + filt[i] = wt->wave->lpd[i] / s; + filt[len_avg + i] = wt->wave->hpd[i] / s; + } + + for (i = 0; i < len_cA; ++i) { + t = i; + cA[i] = filt[0] * inp[t]; + cD[i] = filt[len_avg] * inp[t]; + for (l = 1; l < len_avg; l++) { + t -= M; + while (t >= len_cA) { + t -= len_cA; + } + while (t < 0) { + t += len_cA; + } + + cA[i] += filt[l] * inp[t]; + cD[i] += filt[len_avg + l] * inp[t]; + + } + } + free(filt); +} + +static void modwt_direct(wt_object wt, const double *inp) { + int i, J, temp_len, iter, M; + int lenacc; + double *cA, *cD; + + if (strcmp(wt->ext, "per")) { + printf("MODWT direct method only uses periodic extension per. \n"); + printf(" Use MODWT fft method for symmetric extension sym \n"); + exit(-1); + } + + temp_len = wt->siglength; + J = wt->J; + wt->length[0] = wt->length[J] = temp_len; + wt->outlength = wt->length[J + 1] = (J + 1) * temp_len; + M = 1; + for (iter = 1; iter < J; ++iter) { + M = 2 * M; + wt->length[iter] = temp_len; + } + + + cA = (double*)malloc(sizeof(double)* temp_len); + cD = (double*)malloc(sizeof(double)* temp_len); + + M = 1; + + for (i = 0; i < temp_len; ++i) { + wt->params[i] = inp[i]; + } + + lenacc = wt->outlength; + + for (iter = 0; iter < J; ++iter) { + lenacc -= temp_len; + if (iter > 0) { + M = 2 * M; + } + + modwt_per(wt, M, wt->params, cA, temp_len, cD); + + + for (i = 0; i < temp_len; ++i) { + wt->params[i] = cA[i]; + wt->params[lenacc + i] = cD[i]; + } + + } + + free(cA); + free(cD); + +} + +static void modwt_fft(wt_object wt, const double *inp) { + int i, J, temp_len, iter, M,N, len_avg; + int lenacc; + double s,tmp1,tmp2; + fft_data *cA, *cD, *low_pass,*high_pass,*sig; + int *index; + fft_object fft_fd = NULL; + fft_object fft_bd = NULL; + + temp_len = wt->siglength; + len_avg = wt->wave->lpd_len; + if (!strcmp(wt->ext, "sym")) { + N = 2 * temp_len; + } else if (!strcmp(wt->ext, "per")) { + N = temp_len; + } + J = wt->J; + wt->modwtsiglength = N; + wt->length[0] = wt->length[J] = N; + wt->outlength = wt->length[J + 1] = (J + 1) * N; + + s = sqrt(2.0); + for (iter = 1; iter < J; ++iter) { + wt->length[iter] = N; + } + + fft_fd = fft_init(N, 1); + fft_bd = fft_init(N, -1); + + sig = (fft_data*)malloc(sizeof(fft_data)* N); + cA = (fft_data*)malloc(sizeof(fft_data)* N); + cD = (fft_data*)malloc(sizeof(fft_data)* N); + low_pass = (fft_data*)malloc(sizeof(fft_data)* N); + high_pass = (fft_data*)malloc(sizeof(fft_data)* N); + index = (int*)malloc(sizeof(int)*N); + + + // N-point FFT of low pass and high pass filters + + // Low Pass Filter + + for(i = 0; i < len_avg;++i) { + sig[i].re = (fft_type) wt->wave->lpd[i] / s; + sig[i].im = 0.0; + } + for(i = len_avg; i < N;++i) { + sig[i].re = 0.0; + sig[i].im = 0.0; + } + + + fft_exec(fft_fd, sig, low_pass); + + // High Pass Filter + + for (i = 0; i < len_avg; ++i) { + sig[i].re = (fft_type)wt->wave->hpd[i] / s; + sig[i].im = 0.0; + } + for (i = len_avg; i < N; ++i) { + sig[i].re = 0.0; + sig[i].im = 0.0; + } + + fft_exec(fft_fd, sig, high_pass); + + // symmetric extension + for (i = 0; i < temp_len; ++i) { + sig[i].re = (fft_type)inp[i]; + sig[i].im = 0.0; + } + for (i = temp_len; i < N; ++i) { + sig[i].re = (fft_type) inp[N-i-1]; + sig[i].im = 0.0; + } + + // FFT of data + + fft_exec(fft_fd, sig, cA); + + lenacc = wt->outlength; + + M = 1; + + for (iter = 0; iter < J; ++iter) { + lenacc -= N; + + for (i = 0; i < N; ++i) { + index[i] = (M *i) % N; + } + + for (i = 0; i < N; ++i) { + tmp1 = cA[i].re; + tmp2 = cA[i].im; + cA[i].re = low_pass[index[i]].re*tmp1 - low_pass[index[i]].im*tmp2; + cA[i].im = low_pass[index[i]].re*tmp2 + low_pass[index[i]].im*tmp1; + + cD[i].re = high_pass[index[i]].re*tmp1 - high_pass[index[i]].im*tmp2; + cD[i].im = high_pass[index[i]].re*tmp2 + high_pass[index[i]].im*tmp1; + } + + fft_exec(fft_bd, cD, sig); + + for (i = 0; i < N; ++i) { + wt->params[lenacc + i] = sig[i].re/N; + } + + M *= 2; + } + + fft_exec(fft_bd, cA, sig); + + for (i = 0; i < N; ++i) { + wt->params[i] = sig[i].re/N; + } + + free(sig); + free(cA); + free(cD); + free(low_pass); + free(high_pass); + free_fft(fft_fd); + free_fft(fft_bd); +} + +void modwt(wt_object wt, const double *inp) { + if (!strcmp(wt->cmethod, "direct")) { + modwt_direct(wt, inp); + } + else if (!strcmp(wt->cmethod, "fft")) { + modwt_fft(wt, inp); + } + else { + printf("Error- Available Choices for this method are - direct and fft \n"); + exit(-1); + } +} + +static void conj_complex(fft_data *x, int N) { + int i; + + for (i = 0; i < N; ++i) { + x[i].im *= (-1.0); + } +} + +static void getMODWTRecCoeff(fft_object fft_fd, fft_object fft_bd, fft_data* appx,fft_data *det, fft_data* cA,fft_data *cD, int *index, const char *ctype, int level, + int J, fft_data *low_pass, fft_data *high_pass, int N) { + + int iter,M,i; + fft_type tmp1, tmp2; + + M = (int)pow(2.0, (double)level - 1.0); + + if (!strcmp((ctype), "appx")) { + for (iter = 0; iter < level; ++iter) { + fft_exec(fft_fd, appx, cA); + fft_exec(fft_fd, det, cD); + + for (i = 0; i < N; ++i) { + index[i] = (M *i) % N; + } + + for (i = 0; i < N; ++i) { + tmp1 = cA[i].re; + tmp2 = cA[i].im; + cA[i].re = low_pass[index[i]].re*tmp1 - low_pass[index[i]].im*tmp2 + high_pass[index[i]].re*cD[i].re - high_pass[index[i]].im*cD[i].im; + cA[i].im = low_pass[index[i]].re*tmp2 + low_pass[index[i]].im*tmp1 + high_pass[index[i]].re*cD[i].im + high_pass[index[i]].im*cD[i].re; + } + + fft_exec(fft_bd, cA, appx); + + for (i = 0; i < N; ++i) { + appx[i].re /= N; + appx[i].im /= N; + } + + M /= 2; + } + } + else if (!strcmp(ctype, "det")) { + for (iter = 0; iter < level; ++iter) { + fft_exec(fft_fd, appx, cA); + fft_exec(fft_fd, det, cD); + + for (i = 0; i < N; ++i) { + index[i] = (M *i) % N; + } + + for (i = 0; i < N; ++i) { + tmp1 = cA[i].re; + tmp2 = cA[i].im; + cA[i].re = low_pass[index[i]].re*tmp1 - low_pass[index[i]].im*tmp2 + high_pass[index[i]].re*cD[i].re - high_pass[index[i]].im*cD[i].im; + cA[i].im = low_pass[index[i]].re*tmp2 + low_pass[index[i]].im*tmp1 + high_pass[index[i]].re*cD[i].im + high_pass[index[i]].im*cD[i].re; + } + + fft_exec(fft_bd, cA, appx); + + for (i = 0; i < N; ++i) { + appx[i].re /= N; + appx[i].im /= N; + det[i].re = 0.0; + det[i].im = 0.0; + } + + M /= 2; + } + } + else { + printf("ctype can only be one of appx or det \n"); + exit(-1); + } + + +} + +double* getMODWTmra(wt_object wt, double *wavecoeffs) { + double *mra; + int i, J, temp_len, iter, M, N, len_avg,lmra; + int lenacc; + double s; + fft_data *cA, *cD, *low_pass, *high_pass, *sig,*ninp; + int *index; + fft_object fft_fd = NULL; + fft_object fft_bd = NULL; + + N = wt->modwtsiglength; + len_avg = wt->wave->lpd_len; + if (!strcmp(wt->ext, "sym")) { + temp_len = N / 2; + } + else if (!strcmp(wt->ext, "per")) { + temp_len = N; + } + J = wt->J; + + s = sqrt(2.0); + fft_fd = fft_init(N, 1); + fft_bd = fft_init(N, -1); + + sig = (fft_data*)malloc(sizeof(fft_data)* N); + cA = (fft_data*)malloc(sizeof(fft_data)* N); + cD = (fft_data*)malloc(sizeof(fft_data)* N); + ninp = (fft_data*)malloc(sizeof(fft_data)* N); + low_pass = (fft_data*)malloc(sizeof(fft_data)* N); + high_pass = (fft_data*)malloc(sizeof(fft_data)* N); + index = (int*)malloc(sizeof(int)*N); + mra = (double*)malloc(sizeof(double)*temp_len*(J + 1)); + + // N-point FFT of low pass and high pass filters + + // Low Pass Filter + + for (i = 0; i < len_avg; ++i) { + sig[i].re = (fft_type)wt->wave->lpd[i] / s; + sig[i].im = 0.0; + } + for (i = len_avg; i < N; ++i) { + sig[i].re = 0.0; + sig[i].im = 0.0; + } + + + fft_exec(fft_fd, sig, low_pass); + + // High Pass Filter + + for (i = 0; i < len_avg; ++i) { + sig[i].re = (fft_type)wt->wave->hpd[i] / s; + sig[i].im = 0.0; + } + for (i = len_avg; i < N; ++i) { + sig[i].re = 0.0; + sig[i].im = 0.0; + } + + fft_exec(fft_fd, sig, high_pass); + + + // Complex conjugate of the two filters + + conj_complex(low_pass, N); + conj_complex(high_pass, N); + + M = (int)pow(2.0, (double)J - 1.0); + lenacc = N; + + // + for (i = 0; i < N; ++i) { + sig[i].re = (fft_type)wt->output[i]; + sig[i].im = 0.0; + ninp[i].re = 0.0; + ninp[i].im = 0.0; + } + + // Find Approximation MRA + + getMODWTRecCoeff(fft_fd,fft_bd,sig,ninp,cA,cD,index,"appx",J,J,low_pass,high_pass,N); + + for (i = 0; i < wt->siglength; ++i) { + mra[i] = sig[i].re; + } + lmra = wt->siglength; + // Find Details MRA + + for (iter = 0; iter < J; ++iter) { + for (i = 0; i < N; ++i) { + sig[i].re = (fft_type)wt->output[lenacc+i]; + sig[i].im = 0.0; + ninp[i].re = 0.0; + ninp[i].im = 0.0; + } + + getMODWTRecCoeff(fft_fd, fft_bd, sig, ninp,cA, cD, index, "det", J-iter, J, low_pass, high_pass, N); + + for (i = 0; i < wt->siglength; ++i) { + mra[lmra+i] = sig[i].re; + } + + lenacc += N; + lmra += wt->siglength; + } + + free(ninp); + free(index); + free(sig); + free(cA); + free(cD); + free(low_pass); + free(high_pass); + free_fft(fft_fd); + free_fft(fft_bd); + + return mra; +} + +void imodwt_fft(wt_object wt, double *oup) { + int i, J, temp_len, iter, M, N, len_avg; + int lenacc; + double s, tmp1, tmp2; + fft_data *cA, *cD, *low_pass, *high_pass, *sig; + int *index; + fft_object fft_fd = NULL; + fft_object fft_bd = NULL; + + N = wt->modwtsiglength; + len_avg = wt->wave->lpd_len; + if (!strcmp(wt->ext, "sym")) { + temp_len = N/2; + } + else if (!strcmp(wt->ext, "per")) { + temp_len = N; + } + J = wt->J; + + s = sqrt(2.0); + fft_fd = fft_init(N, 1); + fft_bd = fft_init(N, -1); + + sig = (fft_data*)malloc(sizeof(fft_data)* N); + cA = (fft_data*)malloc(sizeof(fft_data)* N); + cD = (fft_data*)malloc(sizeof(fft_data)* N); + low_pass = (fft_data*)malloc(sizeof(fft_data)* N); + high_pass = (fft_data*)malloc(sizeof(fft_data)* N); + index = (int*)malloc(sizeof(int)*N); + + + // N-point FFT of low pass and high pass filters + + // Low Pass Filter + + for (i = 0; i < len_avg; ++i) { + sig[i].re = (fft_type)wt->wave->lpd[i] / s; + sig[i].im = 0.0; + } + for (i = len_avg; i < N; ++i) { + sig[i].re = 0.0; + sig[i].im = 0.0; + } + + + fft_exec(fft_fd, sig, low_pass); + + // High Pass Filter + + for (i = 0; i < len_avg; ++i) { + sig[i].re = (fft_type)wt->wave->hpd[i] / s; + sig[i].im = 0.0; + } + for (i = len_avg; i < N; ++i) { + sig[i].re = 0.0; + sig[i].im = 0.0; + } + + fft_exec(fft_fd, sig, high_pass); + + + // Complex conjugate of the two filters + + conj_complex(low_pass, N); + conj_complex(high_pass, N); + + M = (int)pow(2.0, (double)J - 1.0); + lenacc = N; + + // + for (i = 0; i < N; ++i) { + sig[i].re = (fft_type)wt->output[i]; + sig[i].im = 0.0; + } + + for (iter = 0; iter < J; ++iter) { + fft_exec(fft_fd, sig, cA); + for (i = 0; i < N; ++i) { + sig[i].re = wt->output[lenacc+i]; + sig[i].im = 0.0; + } + fft_exec(fft_fd, sig, cD); + + for (i = 0; i < N; ++i) { + index[i] = (M *i) % N; + } + + for (i = 0; i < N; ++i) { + tmp1 = cA[i].re; + tmp2 = cA[i].im; + cA[i].re = low_pass[index[i]].re*tmp1 - low_pass[index[i]].im*tmp2 + high_pass[index[i]].re*cD[i].re - high_pass[index[i]].im*cD[i].im; + cA[i].im = low_pass[index[i]].re*tmp2 + low_pass[index[i]].im*tmp1 + high_pass[index[i]].re*cD[i].im + high_pass[index[i]].im*cD[i].re; + } + + fft_exec(fft_bd, cA, sig); + + for (i = 0; i < N; ++i) { + sig[i].re /= N; + sig[i].im /= N; + } + M /= 2; + lenacc += N; + } + + for (i = 0; i < wt->siglength; ++i) { + oup[i] = sig[i].re; + } + + free(sig); + free(cA); + free(cD); + free(low_pass); + free(high_pass); + free_fft(fft_fd); + free_fft(fft_bd); +} + + +static void imodwt_per(wt_object wt,int M, double *cA, int len_cA, double *cD, double *X) { + int len_avg, i, l, t; + double s; + double *filt; + len_avg = wt->wave->lpd_len; + + filt = (double*)malloc(sizeof(double)* 2 * len_avg); + s = sqrt(2.0); + for (i = 0; i < len_avg; ++i) { + filt[i] = wt->wave->lpd[i] / s; + filt[len_avg + i] = wt->wave->hpd[i] / s; + } + + + for (i = 0; i < len_cA; ++i) { + t = i; + X[i] = (filt[0] * cA[t]) + (filt[len_avg] * cD[t]); + for (l = 1; l < len_avg; l++) { + t += M; + while (t >= len_cA) { + t -= len_cA; + } + while (t < 0) { + t += len_cA; + } + + X[i] += (filt[l] * cA[t]) + (filt[len_avg + l] * cD[t]); + + } + } + free(filt); +} + +static void imodwt_direct(wt_object wt, double *dwtop) { + int N, iter, i, J, j; + int lenacc,M; + double *X; + + N = wt->siglength; + J = wt->J; + lenacc = N; + M = (int)pow(2.0, (double)J - 1.0); + //M = 1; + X = (double*)malloc(sizeof(double)* N); + + for (i = 0; i < N; ++i) { + dwtop[i] = wt->output[i]; + } + + for (iter = 0; iter < J; ++iter) { + if (iter > 0) { + M = M / 2; + } + imodwt_per(wt, M, dwtop, N, wt->params + lenacc, X); + /* + for (j = lf - 1; j < N; ++j) { + dwtop[j - lf + 1] = X[j]; + } + for (j = 0; j < lf - 1; ++j) { + dwtop[N - lf + 1 + j] = X[j]; + } + */ + for (j = 0; j < N; ++j) { + dwtop[j] = X[j]; + } + + lenacc += N; + } + free(X); +} + +void imodwt(wt_object wt, double *oup) { + if (!strcmp(wt->cmethod, "direct")) { + imodwt_direct(wt, oup); + } + else if (!strcmp(wt->cmethod, "fft")) { + imodwt_fft(wt, oup); + } + else { + printf("Error- Available Choices for this method are - direct and fft \n"); + exit(-1); + } +} + + +void setDWTExtension(wt_object wt, const char *extension) { + if (!strcmp(extension, "sym")) { + strcpy(wt->ext, "sym"); + } + else if (!strcmp(extension, "per")) { + strcpy(wt->ext, "per"); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } +} + +void setWTREEExtension(wtree_object wt, const char *extension) { + if (!strcmp(extension, "sym")) { + strcpy(wt->ext, "sym"); + } + else if (!strcmp(extension, "per")) { + strcpy(wt->ext, "per"); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } +} + +void setDWPTExtension(wpt_object wt, const char *extension) { + if (!strcmp(extension, "sym")) { + strcpy(wt->ext, "sym"); + } + else if (!strcmp(extension, "per")) { + strcpy(wt->ext, "per"); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } +} + +void setDWT2Extension(wt2_object wt, const char *extension) { + if (!strcmp(wt->method, "dwt")) { + if (!strcmp(extension, "sym")) { + strcpy(wt->ext, "sym"); + } + else if (!strcmp(extension, "per")) { + strcpy(wt->ext, "per"); + } + else { + printf("Signal extension can be either per or sym"); + exit(-1); + } + } + else if (!strcmp(wt->method, "swt") || !strcmp(wt->method, "modwt")) { + if (!strcmp(extension, "per")) { + strcpy(wt->ext, "per"); + } + else { + printf("Signal extension can only be per"); + exit(-1); + } + } + +} + +void setDWPTEntropy(wpt_object wt, const char *entropy, double eparam) { + if (!strcmp(entropy, "shannon")) { + strcpy(wt->entropy, "shannon"); + } + else if (!strcmp(entropy, "threshold")) { + strcpy(wt->entropy, "threshold"); + wt ->eparam = eparam; + } + else if (!strcmp(entropy, "norm")) { + strcpy(wt->entropy, "norm"); + wt->eparam = eparam; + } + else if (!strcmp(entropy, "logenergy") || !strcmp(entropy, "log energy") || !strcmp(entropy, "energy")) { + strcpy(wt->entropy, "logenergy"); + } + else { + printf("Entropy should be one of shannon, threshold, norm or logenergy"); + exit(-1); + } +} + +void setWTConv(wt_object wt, const char *cmethod) { + if (!strcmp(cmethod, "fft") || !strcmp(cmethod, "FFT")) { + strcpy(wt->cmethod, "fft"); + } + else if (!strcmp(cmethod, "direct")) { + strcpy(wt->cmethod, "direct"); + } + else { + printf("Convolution Only accepts two methods - direct and fft"); + exit(-1); + } +} + +double* dwt2(wt2_object wt, double *inp) { + double *wavecoeff = NULL; + int i, J, iter, N, lp, rows_n, cols_n, rows_i, cols_i; + int ir, ic, istride,ostride; + int aLL, aLH, aHL, aHH, cdim,clen; + double *orig, *lp_dn1,*hp_dn1; + J = wt->J; + wt->outlength = 0; + + rows_n = wt->rows; + cols_n = wt->cols; + lp = wt->wave->lpd_len; + clen = J * 3; + if (!strcmp(wt->ext, "per")) { + i = 2 * J; + while (i > 0) { + rows_n = (int)ceil((double)rows_n / 2.0); + cols_n = (int)ceil((double)cols_n / 2.0); + wt->dimensions[i - 1] = cols_n; + wt->dimensions[i - 2] = rows_n; + wt->outlength += (rows_n * cols_n) * 3; + i = i - 2; + } + wt->outlength += (rows_n * cols_n); + N = wt->outlength; + wavecoeff = (double*)calloc(wt->outlength, sizeof(double)); + + orig = inp; + ir = wt->rows; + ic = wt->cols; + cols_i = wt->dimensions[2 * J - 1]; + + lp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + hp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + + for (iter = 0; iter < J; ++iter) { + rows_i = wt->dimensions[2*J - 2*iter - 2]; + cols_i = wt->dimensions[2*J - 2*iter - 1]; + istride = 1; + ostride = 1; + cdim = rows_i * cols_i; + // Row filtering and column subsampling + for (i = 0; i < ir; ++i) { + dwt_per_stride(orig+i*ic, ic, wt->wave->lpd,wt->wave->hpd,lp, lp_dn1+i*cols_i, cols_i, hp_dn1+i*cols_i, istride, ostride); + } + + // Column Filtering and Row subsampling + aHH = N - cdim; + wt->coeffaccess[clen] = aHH; + aHL = aHH - cdim; + wt->coeffaccess[clen-1] = aHL; + aLH = aHL - cdim; + wt->coeffaccess[clen-2] = aLH; + aLL = aLH - cdim; + + N -= 3 * cdim; + ic = cols_i; + istride = ic; + ostride = ic; + + for (i = 0; i < ic; ++i) { + dwt_per_stride(lp_dn1 + i, ir, wt->wave->lpd, wt->wave->hpd, lp, wavecoeff+aLL+i, rows_i, wavecoeff+aLH+i, istride, ostride); + } + + + for (i = 0; i < ic; ++i) { + dwt_per_stride(hp_dn1 + i, ir, wt->wave->lpd, wt->wave->hpd, lp, wavecoeff+aHL+i, rows_i, wavecoeff+aHH+i, istride, ostride); + } + + ir = rows_i; + orig = wavecoeff+aLL; + clen -= 3; + + } + wt->coeffaccess[0] = 0; + free(lp_dn1); + free(hp_dn1); + } + else if (!strcmp(wt->ext, "sym")) { + i = 2 * J; + while (i > 0) { + rows_n += lp - 2; + cols_n += lp - 2; + rows_n = (int)ceil((double)rows_n / 2.0); + cols_n = (int)ceil((double)cols_n / 2.0); + wt->dimensions[i - 1] = cols_n; + wt->dimensions[i - 2] = rows_n; + wt->outlength += (rows_n * cols_n) * 3; + i = i - 2; + } + wt->outlength += (rows_n * cols_n); + N = wt->outlength; + wavecoeff = (double*)calloc(wt->outlength, sizeof(double)); + + orig = inp; + ir = wt->rows; + ic = wt->cols; + cols_i = wt->dimensions[2 * J - 1]; + + lp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + hp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + + for (iter = 0; iter < J; ++iter) { + rows_i = wt->dimensions[2 * J - 2 * iter - 2]; + cols_i = wt->dimensions[2 * J - 2 * iter - 1]; + istride = 1; + ostride = 1; + cdim = rows_i * cols_i; + // Row filtering and column subsampling + for (i = 0; i < ir; ++i) { + dwt_sym_stride(orig + i*ic, ic, wt->wave->lpd, wt->wave->hpd, lp, lp_dn1 + i*cols_i, cols_i, hp_dn1 + i*cols_i, istride, ostride); + } + + // Column Filtering and Row subsampling + aHH = N - cdim; + wt->coeffaccess[clen] = aHH; + aHL = aHH - cdim; + wt->coeffaccess[clen - 1] = aHL; + aLH = aHL - cdim; + wt->coeffaccess[clen - 2] = aLH; + aLL = aLH - cdim; + N -= 3 * cdim; + ic = cols_i; + istride = ic; + ostride = ic; + + for (i = 0; i < ic; ++i) { + dwt_sym_stride(lp_dn1 + i, ir, wt->wave->lpd, wt->wave->hpd, lp, wavecoeff + aLL + i, rows_i, wavecoeff + aLH + i, istride, ostride); + } + + for (i = 0; i < ic; ++i) { + dwt_sym_stride(hp_dn1 + i, ir, wt->wave->lpd, wt->wave->hpd, lp, wavecoeff + aHL + i, rows_i, wavecoeff + aHH + i, istride, ostride); + } + + ir = rows_i; + orig = wavecoeff + aLL; + clen -= 3; + + } + wt->coeffaccess[0] = 0; + free(lp_dn1); + free(hp_dn1); + } + + return wavecoeff; +} + +void idwt2(wt2_object wt, double *wavecoeff, double *oup) { + int i, k, rows, cols, N, ir,ic,lf,dim1,dim2; + int istride, ostride, iter, J; + int aLL, aLH, aHL, aHH; + double *cL, *cH, *X_lp,*orig; + double *out = NULL; + + rows = wt->rows; + cols = wt->cols; + J = wt->J; + + + if (!strcmp(wt->ext, "per")) { + N = rows > cols ? 2 * rows : 2 * cols; + lf = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + + i = J; + dim1 = wt->dimensions[0]; + dim2 = wt->dimensions[1]; + k = 0; + while (i > 0) { + k += 1; + dim1 *= 2; + dim2 *= 2; + i--; + } + + + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + cL = (double*)calloc(dim1*dim2, sizeof(double)); + cH = (double*)calloc(dim1*dim2, sizeof(double)); + out = (double*)calloc(dim1*dim2, sizeof(double)); + aLL = wt->coeffaccess[0]; + orig = wavecoeff + aLL; + for (iter = 0; iter < J; ++iter) { + ir = wt->dimensions[2 * iter]; + ic = wt->dimensions[2 * iter + 1]; + istride = ic; + ostride = 1; + aLH = wt->coeffaccess[iter*3 + 1]; + aHL = wt->coeffaccess[iter*3 + 2]; + aHH = wt->coeffaccess[iter*3 + 3]; + for (i = 0; i < ic; ++i) { + idwt_per_stride(orig+i, ir, wavecoeff+aLH+i, wt->wave->lpr, wt->wave->hpr, lf, X_lp,istride,ostride); + + for (k = lf / 2 - 1; k < 2 * ir + lf / 2 - 1; ++k) { + cL[(k - lf / 2 + 1)*ic + i] = X_lp[k]; + } + + idwt_per_stride(wavecoeff + aHL+i, ir, wavecoeff + aHH+i, wt->wave->lpr, wt->wave->hpr, lf, X_lp, istride, ostride); + + for (k = lf / 2 - 1; k < 2 * ir + lf / 2 - 1; ++k) { + cH[(k - lf / 2 + 1)*ic + i] = X_lp[k]; + } + } + + ir *= 2; + istride = 1; + ostride = 1; + + for (i = 0; i < ir; ++i) { + idwt_per_stride(cL+i*ic, ic, cH+i*ic, wt->wave->lpr, wt->wave->hpr, lf, X_lp, istride, ostride); + + for (k = lf / 2 - 1; k < 2 * ic + lf / 2 - 1; ++k) { + out[(k - lf / 2 + 1) + i*ic*2] = X_lp[k]; + } + } + ic *= 2; + if (iter == J - 1) { + for (i = 0; i < wt->rows; ++i) { + for (k = 0; k < wt->cols; ++k) { + oup[k + i*wt->cols] = out[k + i*ic]; + } + } + } + else { + for (i = 0; i < wt->dimensions[2 * (iter+1)]; ++i) { + for (k = 0; k < wt->dimensions[2 * (iter + 1)+1]; ++k) { + oup[k + i*wt->dimensions[2 * (iter + 1) + 1]] = out[k + i*ic]; + } + } + } + + + orig = oup; + } + free(X_lp); + free(cL); + free(cH); + } + else if (!strcmp(wt->ext, "sym")) { + N = rows > cols ? 2 * rows - 1 : 2 * cols - 1; + lf = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + + i = J; + dim1 = wt->dimensions[0]; + dim2 = wt->dimensions[1]; + k = 0; + while (i > 0) { + k += 1; + dim1 *= 2; + dim2 *= 2; + i--; + } + + + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + cL = (double*)calloc(dim1*dim2, sizeof(double)); + cH = (double*)calloc(dim1*dim2, sizeof(double)); + out = (double*)calloc(dim1*dim2, sizeof(double)); + aLL = wt->coeffaccess[0]; + orig = wavecoeff + aLL; + for (iter = 0; iter < J; ++iter) { + ir = wt->dimensions[2 * iter]; + ic = wt->dimensions[2 * iter + 1]; + istride = ic; + ostride = 1; + aLH = wt->coeffaccess[iter * 3 + 1]; + aHL = wt->coeffaccess[iter * 3 + 2]; + aHH = wt->coeffaccess[iter * 3 + 3]; + for (i = 0; i < ic; ++i) { + idwt_sym_stride(orig + i, ir, wavecoeff + aLH + i, wt->wave->lpr, wt->wave->hpr, lf, X_lp, istride, ostride); + + for (k = lf - 2; k < 2 * ir; ++k) { + cL[(k - lf + 2)*ic + i] = X_lp[k]; + } + + idwt_sym_stride(wavecoeff + aHL + i, ir, wavecoeff + aHH + i, wt->wave->lpr, wt->wave->hpr, lf, X_lp, istride, ostride); + + for (k = lf - 2; k < 2 * ir; ++k) { + cH[(k - lf + 2)*ic + i] = X_lp[k]; + } + } + + ir *= 2; + istride = 1; + ostride = 1; + + for (i = 0; i < ir; ++i) { + idwt_sym_stride(cL + i*ic, ic, cH + i*ic, wt->wave->lpr, wt->wave->hpr, lf, X_lp, istride, ostride); + + for (k = lf - 2; k < 2 * ic; ++k) { + out[(k - lf + 2) + i*ic * 2] = X_lp[k]; + } + } + ic *= 2; + if (iter == J - 1) { + for (i = 0; i < wt->rows; ++i) { + for (k = 0; k < wt->cols; ++k) { + oup[k + i*wt->cols] = out[k + i*ic]; + } + } + } + else { + for (i = 0; i < wt->dimensions[2 * (iter + 1)]; ++i) { + for (k = 0; k < wt->dimensions[2 * (iter + 1) + 1]; ++k) { + oup[k + i*wt->dimensions[2 * (iter + 1) + 1]] = out[k + i*ic]; + } + } + } + + + orig = oup; + } + free(X_lp); + free(cL); + free(cH); + } + + free(out); + +} + +double* swt2(wt2_object wt, double *inp) { + double *wavecoeff; + int i, J, iter, M, N, lp, rows_n, cols_n, rows_i, cols_i; + int ir, ic, istride, ostride; + int aLL, aLH, aHL, aHH, cdim, clen; + double *orig, *lp_dn1, *hp_dn1; + + J = wt->J; + M = 1; + wt->outlength = 0; + + rows_n = wt->rows; + cols_n = wt->cols; + lp = wt->wave->lpd_len; + clen = J * 3; + + i = 2 * J; + while (i > 0) { + wt->dimensions[i - 1] = cols_n; + wt->dimensions[i - 2] = rows_n; + wt->outlength += (rows_n * cols_n) * 3; + i = i - 2; + } + wt->outlength += (rows_n * cols_n); + N = wt->outlength; + wavecoeff = (double*)calloc(wt->outlength, sizeof(double)); + + orig = inp; + ir = wt->rows; + ic = wt->cols; + cols_i = wt->dimensions[2 * J - 1]; + + lp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + hp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + + for (iter = 0; iter < J; ++iter) { + if (iter > 0) { + M = 2 * M; + } + rows_i = wt->dimensions[2 * J - 2 * iter - 2]; + cols_i = wt->dimensions[2 * J - 2 * iter - 1]; + istride = 1; + ostride = 1; + cdim = rows_i * cols_i; + // Row filtering and column subsampling + for (i = 0; i < ir; ++i) { + swt_per_stride(M,orig + i*ic, ic, wt->wave->lpd, wt->wave->hpd, lp, lp_dn1 + i*cols_i, cols_i, hp_dn1 + i*cols_i, istride, ostride); + } + // Column Filtering and Row subsampling + aHH = N - cdim; + wt->coeffaccess[clen] = aHH; + aHL = aHH - cdim; + wt->coeffaccess[clen - 1] = aHL; + aLH = aHL - cdim; + wt->coeffaccess[clen - 2] = aLH; + aLL = aLH - cdim; + + N -= 3 * cdim; + ic = cols_i; + istride = ic; + ostride = ic; + for (i = 0; i < ic; ++i) { + swt_per_stride(M,lp_dn1 + i, ir, wt->wave->lpd, wt->wave->hpd, lp, wavecoeff + aLL + i, rows_i, wavecoeff + aLH + i, istride, ostride); + } + + for (i = 0; i < ic; ++i) { + swt_per_stride(M,hp_dn1 + i, ir, wt->wave->lpd, wt->wave->hpd, lp, wavecoeff + aHL + i, rows_i, wavecoeff + aHH + i, istride, ostride); + } + + ir = rows_i; + orig = wavecoeff + aLL; + clen -= 3; + } + wt->coeffaccess[0] = 0; + free(lp_dn1); + free(hp_dn1); + + return wavecoeff; +} + +void iswt2(wt2_object wt, double *wavecoeffs, double *oup) { + int i, k, iter, it2, it3, J, M, rows, cols, lf, ir,ic,k1,i1; + double *A, *H, *V, *D,*oup1,*oup2; + int aLL, aLH, aHL, aHH,shift; + J = wt->J; + rows = wt->rows; + cols = wt->cols; + lf = wt->wave->lpd_len; + A = (double*)calloc((rows + lf)*(cols + lf), sizeof(double)); + H = (double*)calloc((rows + lf)*(cols + lf), sizeof(double)); + V = (double*)calloc((rows + lf)*(cols + lf), sizeof(double)); + D = (double*)calloc((rows + lf)*(cols + lf), sizeof(double)); + oup1 = (double*)calloc((rows + lf)*(cols + lf), sizeof(double)); + oup2 = (double*)calloc((rows + lf)*(cols + lf), sizeof(double)); + + aLL = wt->coeffaccess[0]; + + for (i = 0; i < rows; ++i) { + for (k = 0; k < cols; ++k) { + oup[i*cols + k] = wavecoeffs[aLL + i*cols + k]; + } + } + + for (iter = J; iter > 0; iter--) { + aLH = wt->coeffaccess[(J - iter) * 3 + 1]; + aHL = wt->coeffaccess[(J - iter) * 3 + 2]; + aHH = wt->coeffaccess[(J - iter) * 3 + 3]; + M = (int)pow(2.0, (double)iter - 1); + + for (it2 = 0; it2 < M; ++it2) { + ir = 0; + ic = 0; + it3 = 0; + // oup1 + for (i = it2; i < rows; i += 2 * M) { + ic = 0; + for (k = it2; k < cols; k += 2 * M) { + A[it3] = oup[i*cols + k]; + H[it3] = wavecoeffs[aLH + i*cols + k]; + V[it3] = wavecoeffs[aHL + i*cols + k]; + D[it3] = wavecoeffs[aHH + i*cols + k]; + it3++; + ic++; + } + ir++; + } + shift = 0; + idwt2_shift(shift, ir, ic, wt->wave->lpr, wt->wave->hpr, wt->wave->lpd_len, A, H, V, D, oup1); + //oup2 + ir = 0; + ic = 0; + it3 = 0; + for (i = it2 + M; i < rows; i += 2 * M) { + ic = 0; + for (k = it2 + M; k < cols; k += 2 * M) { + A[it3] = oup[i*cols + k]; + H[it3] = wavecoeffs[aLH + i*cols + k]; + V[it3] = wavecoeffs[aHL + i*cols + k]; + D[it3] = wavecoeffs[aHH + i*cols + k]; + it3++; + ic++; + } + ir++; + } + shift = -1; + idwt2_shift(shift, ir, ic, wt->wave->lpr, wt->wave->hpr, wt->wave->lpd_len, A, H, V, D, oup2); + // Shift oup1 and oup2. Then add them to get A. + i1 = 0; + for (i = it2; i < rows; i += M) { + k1 = 0; + for (k = it2; k < cols; k += M) { + oup[i*cols+k] = 0.5*(oup1[i1*2*ic + k1] + oup2[i1*2*ic+k1]); + k1++; + } + i1++; + } + } + + } + + free(A); + free(H); + free(V); + free(D); + free(oup1); + free(oup2); +} + +double* modwt2(wt2_object wt, double *inp) { + double *wavecoeff; + int i, J, iter, M, N, lp, rows_n, cols_n, rows_i, cols_i; + int ir, ic, istride, ostride; + int aLL, aLH, aHL, aHH, cdim, clen; + double *orig, *lp_dn1, *hp_dn1,*filt; + double s; + + J = wt->J; + M = 1; + wt->outlength = 0; + + rows_n = wt->rows; + cols_n = wt->cols; + lp = wt->wave->lpd_len; + clen = J * 3; + + i = 2 * J; + while (i > 0) { + wt->dimensions[i - 1] = cols_n; + wt->dimensions[i - 2] = rows_n; + wt->outlength += (rows_n * cols_n) * 3; + i = i - 2; + } + wt->outlength += (rows_n * cols_n); + N = wt->outlength; + wavecoeff = (double*)calloc(wt->outlength, sizeof(double)); + filt = (double*)malloc(sizeof(double)* 2 * lp); + s = sqrt(2.0); + for (i = 0; i < lp; ++i) { + filt[i] = wt->wave->lpd[i] / s; + filt[lp + i] = wt->wave->hpd[i] / s; + } + + orig = inp; + ir = wt->rows; + ic = wt->cols; + cols_i = wt->dimensions[2 * J - 1]; + + lp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + hp_dn1 = (double*)malloc(sizeof(double)*ir*cols_i); + + for (iter = 0; iter < J; ++iter) { + if (iter > 0) { + M = 2 * M; + } + rows_i = wt->dimensions[2 * J - 2 * iter - 2]; + cols_i = wt->dimensions[2 * J - 2 * iter - 1]; + istride = 1; + ostride = 1; + cdim = rows_i * cols_i; + // Row filtering and column subsampling + for (i = 0; i < ir; ++i) { + modwt_per_stride(M, orig + i*ic, ic, filt, lp, lp_dn1 + i*cols_i, cols_i, hp_dn1 + i*cols_i, istride, ostride); + } + // Column Filtering and Row subsampling + aHH = N - cdim; + wt->coeffaccess[clen] = aHH; + aHL = aHH - cdim; + wt->coeffaccess[clen - 1] = aHL; + aLH = aHL - cdim; + wt->coeffaccess[clen - 2] = aLH; + aLL = aLH - cdim; + N -= 3 * cdim; + ic = cols_i; + istride = ic; + ostride = ic; + for (i = 0; i < ic; ++i) { + modwt_per_stride(M, lp_dn1 + i, ir, filt, lp, wavecoeff + aLL + i, rows_i, wavecoeff + aLH + i, istride, ostride); + } + + + for (i = 0; i < ic; ++i) { + modwt_per_stride(M, hp_dn1 + i, ir, filt, lp, wavecoeff + aHL + i, rows_i, wavecoeff + aHH + i, istride, ostride); + } + + + ir = rows_i; + orig = wavecoeff + aLL; + clen -= 3; + } + wt->coeffaccess[0] = 0; + free(lp_dn1); + free(hp_dn1); + free(filt); + return wavecoeff; +} + +void imodwt2(wt2_object wt, double *wavecoeff, double *oup) { + int i, rows, cols, M, N, ir, ic, lf; + int istride, ostride, iter, J; + int aLL, aLH, aHL, aHH; + double *cL, *cH, *orig,*filt; + double s; + + rows = wt->rows; + cols = wt->cols; + J = wt->J; + + + M = (int)pow(2.0, (double)J - 1.0); + N = rows > cols ? rows : cols; + lf = (wt->wave->lpr_len + wt->wave->hpr_len) / 2; + + filt = (double*)malloc(sizeof(double)* 2 * lf); + s = sqrt(2.0); + for (i = 0; i < lf; ++i) { + filt[i] = wt->wave->lpd[i] / s; + filt[lf + i] = wt->wave->hpd[i] / s; + } + + + cL = (double*)calloc(rows*cols, sizeof(double)); + cH = (double*)calloc(rows*cols, sizeof(double)); + aLL = wt->coeffaccess[0]; + orig = wavecoeff + aLL; + for (iter = 0; iter < J; ++iter) { + if (iter > 0) { + M = M / 2; + } + ir = wt->dimensions[2 * iter]; + ic = wt->dimensions[2 * iter + 1]; + istride = ic; + ostride = ic; + aLH = wt->coeffaccess[iter * 3 + 1]; + aHL = wt->coeffaccess[iter * 3 + 2]; + aHH = wt->coeffaccess[iter * 3 + 3]; + for (i = 0; i < ic; ++i) { + imodwt_per_stride(M,orig + i, ir, wavecoeff + aLH + i, filt, lf, cL + i, istride, ostride); + + imodwt_per_stride(M,wavecoeff + aHL + i, ir, wavecoeff + aHH + i, filt, lf, cH + i, istride, ostride); + + } + + istride = 1; + ostride = 1; + + for (i = 0; i < ir; ++i) { + imodwt_per_stride(M,cL + i*ic, ic, cH + i*ic, filt, lf, oup+i*ic, istride, ostride); + + } + + orig = oup; + } + + free(cL); + free(cH); + free(filt); +} + +double* getWT2Coeffs(wt2_object wt,double* wcoeffs, int level,char *type, int *rows, int *cols) { + int J,iter,t; + double *ptr; + J = wt->J; + // Error Check + + if (level > J || level < 1) { + printf("Error : The data is decomposed into %d levels so the acceptable values of level are between 1 and %d", J, J); + exit(-1); + } + + if (!strcmp(type, "A") && level != J) { + printf("Approximation Coefficients are only available for level %d", J); + exit(-1); + } + + if (!strcmp(type, "A")) { + t = 0; + iter = t; + } + else if (!strcmp(type, "H")) { + t = 1; + iter = t; + } + else if (!strcmp(type, "V")) { + t = 2; + iter = t; + } + else if (!strcmp(type, "D")) { + t = 3; + iter = t; + } + else { + printf("Only four types of coefficients are accessible A, H, V and D \n"); + exit(-1); + } + + iter += (J - level) * 3; + + ptr = wcoeffs+wt->coeffaccess[iter]; + *rows = wt->dimensions[2 * (J - level)]; + *cols = wt->dimensions[2 * (J - level)+1]; + + return ptr; +} + +void dispWT2Coeffs(double *A, int row, int col) { + int i, j; + printf("\n MATRIX Order : %d X %d \n \n", row, col); + + for (i = 0; i < row; i++) { + printf("R%d: ", i); + for (j = 0; j < col; j++) { + printf("%g ", A[i*col + j]); + } + printf(":R%d \n", i); + } +} + +void wave_summary(wave_object obj) { + int i,N; + N = obj->filtlength; + printf("\n"); + printf("Wavelet Name : %s \n",obj->wname); + printf("\n"); + printf("Wavelet Filters \n\n"); + printf("lpd : ["); + for (i = 0; i < N-1; ++i) { + printf("%g,", obj->lpd[i]); + } + printf("%g", obj->lpd[N-1]); + printf("] \n\n"); + printf("hpd : ["); + for (i = 0; i < N-1; ++i) { + printf("%g,", obj->hpd[i]); + } + printf("%g", obj->hpd[N - 1]); + printf("] \n\n"); + printf("lpr : ["); + for (i = 0; i < N-1; ++i) { + printf("%g,", obj->lpr[i]); + } + printf("%g", obj->lpr[N - 1]); + printf("] \n\n"); + printf("hpr : ["); + for (i = 0; i < N-1; ++i) { + printf("%g,", obj->hpr[i]); + } + printf("%g", obj->hpr[N - 1]); + printf("] \n\n"); +} + +void wt_summary(wt_object wt) { + int i; + int J,t; + J = wt->J; + wave_summary(wt->wave); + printf("\n"); + printf("Wavelet Transform : %s \n", wt->method); + printf("\n"); + printf("Signal Extension : %s \n", wt->ext); + printf("\n"); + printf("Convolutional Method : %s \n", wt->cmethod); + printf("\n"); + printf("Number of Decomposition Levels %d \n", wt->J); + printf("\n"); + printf("Length of Input Signal %d \n", wt->siglength); + printf("\n"); + printf("Length of WT Output Vector %d \n", wt->outlength); + printf("\n"); + printf("Wavelet Coefficients are contained in vector : %s \n", "output"); + printf("\n"); + printf("Approximation Coefficients \n"); + printf("Level %d Access : output[%d] Length : %d \n", J, 0, wt->length[0]); + printf("\n"); + printf("Detail Coefficients \n"); + t = wt->length[0]; + for (i = 0; i < J; ++i) { + printf("Level %d Access : output[%d] Length : %d \n", J - i,t,wt->length[i+1]); + t += wt->length[i+1]; + } + printf("\n"); + +} + +void wtree_summary(wtree_object wt) { + int i,k,p2; + int J,t; + J = wt->J; + wave_summary(wt->wave); + printf("\n"); + printf("Wavelet Transform : %s \n", wt->method); + printf("\n"); + printf("Signal Extension : %s \n", wt->ext); + printf("\n"); + printf("Number of Decomposition Levels %d \n", wt->J); + printf("\n"); + printf("Length of Input Signal %d \n", wt->siglength); + printf("\n"); + printf("Length of WT Output Vector %d \n", wt->outlength); + printf("\n"); + printf("Wavelet Coefficients are contained in vector : %s \n", "output"); + printf("\n"); + printf("Coefficients Access \n"); + t = 0; + p2 = 2; + for (i = 0; i < J; ++i) { + for (k = 0; k < p2; ++k) { + printf("Node %d %d Access : output[%d] Length : %d \n", i + 1, k, wt->nodelength[t], wt->length[J - i]); + t++; + } + p2 *= 2; + } + printf("\n"); + +} + +void wpt_summary(wpt_object wt) { + int i, k, p2; + int J, it1,it2; + J = wt->J; + wave_summary(wt->wave); + printf("\n"); + printf("Signal Extension : %s \n", wt->ext); + printf("\n"); + printf("Entropy : %s \n", wt->entropy); + printf("\n"); + printf("Number of Decomposition Levels %d \n", wt->J); + printf("\n"); + printf("Number of Active Nodes %d \n", wt->nodes); + printf("\n"); + printf("Length of Input Signal %d \n", wt->siglength); + printf("\n"); + printf("Length of WT Output Vector %d \n", wt->outlength); + printf("\n"); + printf("Wavelet Coefficients are contained in vector : %s \n", "output"); + printf("\n"); + printf("Coefficients Access \n"); + it1 = 1; + it2 = 0; + for (i = 0; i < J; ++i) { + it1 += ipow2(i + 1); + } + for (i = J; i > 0; --i) { + p2 = ipow2(i); + it1 -= p2; + for (k = 0; k < p2; ++k) { + if (wt->basisvector[it1 + k] == 1) { + printf("Node %d %d Access : output[%d] Length : %d \n", i, k, it2, wt->length[J - i + 1]); + it2 += wt->length[J - i + 1]; + } + } + } + + printf("\n"); + +} + +void cwt_summary(cwt_object wt) { + + printf("\n"); + printf("Wavelet : %s Parameter %lf \n", wt->wave,wt->m); + printf("\n"); + printf("Length of Input Signal : %d \n", wt->siglength); + printf("\n"); + printf("Sampling Rate : %g \n", wt->dt); + printf("\n"); + printf("Total Number of Scales : %d \n", wt->J); + printf("\n"); + printf("Smallest Scale (s0) : %lf \n", wt->s0); + printf("\n"); + printf("Separation Between Scales (dj) %lf \n", wt->dj); + printf("\n"); + printf("Scale Type %s \n", wt->type); + printf("\n"); + printf("Complex CWT Output Vector is of size %d * %d stored in Row Major format \n",wt->J,wt->siglength); + printf("\n"); + printf("The ith real value can be accessed using wt->output[i].re and imaginary value by wt->output[i].im \n"); + printf("\n"); + +} + +void wt2_summary(wt2_object wt) { + int i; + int J, t,rows,cols,vsize; + J = wt->J; + wave_summary(wt->wave); + printf("\n"); + printf("Wavelet Transform : %s \n", wt->method); + printf("\n"); + printf("Signal Extension : %s \n", wt->ext); + printf("\n"); + printf("Number of Decomposition Levels %d \n", wt->J); + printf("\n"); + printf("Input Signal Rows %d \n", wt->rows); + printf("\n"); + printf("Input Signal Cols %d \n", wt->cols); + printf("\n"); + printf("Length of Wavelet Coefficients Vector %d \n", wt->outlength); + printf("\n"); + t = 0; + for (i = J; i > 0; --i) { + rows = wt->dimensions[2 * (J - i)]; + cols = wt->dimensions[2 * (J - i) + 1]; + vsize = rows*cols; + printf("Level %d Decomposition Rows :%d Columns:%d Vector Size (Rows*Cols):%d \n", i, rows, cols,vsize); + printf("Access Row values stored at wt->dimensions[%d]\n", 2 * (J - i)); + printf("Access Column values stored at wt->dimensions[%d]\n\n", 2 * (J - i) + 1); + + if (i == J) { + printf("Approximation Coefficients access at wt->coeffaccess[%d]=%d, Vector size:%d \n", t,wt->coeffaccess[t],vsize); + } + + t += 1; + printf("Horizontal Coefficients access at wt->coeffaccess[%d]=%d, Vector size:%d \n", t, wt->coeffaccess[t], vsize); + t += 1; + printf("Vertical Coefficients access at wt->coeffaccess[%d]=%d, Vector size:%d \n", t, wt->coeffaccess[t], vsize); + t += 1; + printf("Diagonal Coefficients access at wt->coeffaccess[%d]=%d, Vector size:%d \n\n", t, wt->coeffaccess[t], vsize); + } + +} + +void wave_free(wave_object object) { + free(object); +} + +void wt_free(wt_object object) { + free(object); +} + +void wtree_free(wtree_object object) { + free(object); +} + +void wpt_free(wpt_object object) { + free(object); +} + +void cwt_free(cwt_object object) { + free(object); +} + +void wt2_free(wt2_object wt) { + free(wt); +} diff --git a/dep/wavelib/src/wtmath.c b/dep/wavelib/src/wtmath.c new file mode 100644 index 0000000..575df0c --- /dev/null +++ b/dep/wavelib/src/wtmath.c @@ -0,0 +1,680 @@ +/* +Copyright (c) 2018, Rafat Hussain +*/ +#include "wtmath.h" + +void dwt_per_stride(double *inp, int N, double *lpd,double*hpd,int lpd_len,double *cA, int len_cA, double *cD, int istride, int ostride) { + int l, l2, isodd, i, t, len_avg,is,os; + + len_avg = lpd_len; + l2 = len_avg / 2; + isodd = N % 2; + + for (i = 0; i < len_cA; ++i) { + t = 2 * i + l2; + os = i *ostride; + cA[os] = 0.0; + cD[os] = 0.0; + for (l = 0; l < len_avg; ++l) { + if ((t - l) >= l2 && (t - l) < N) { + is = (t - l) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - l) < l2 && (t - l) >= 0) { + is = (t - l) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - l) < 0 && isodd == 0) { + is = (t - l + N) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - l) < 0 && isodd == 1) { + if ((t - l) != -1) { + is = (t - l + N + 1) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else { + is = (N - 1) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + } + else if ((t - l) >= N && isodd == 0) { + is = (t - l - N) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - l) >= N && isodd == 1) { + is = (t - l - (N + 1)) * istride; + if (t - l != N) { + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else { + is = (N - 1) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + } + + } + + } + +} + +void dwt_sym_stride(double *inp, int N, double *lpd, double*hpd, int lpd_len, double *cA, int len_cA, double *cD, int istride, int ostride) { + int i, l, t, len_avg; + int is, os; + len_avg = lpd_len; + + for (i = 0; i < len_cA; ++i) { + t = 2 * i + 1; + os = i *ostride; + cA[os] = 0.0; + cD[os] = 0.0; + for (l = 0; l < len_avg; ++l) { + if ((t - l) >= 0 && (t - l) < N) { + is = (t - l) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - l) < 0) { + is = (-t + l - 1) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - l) >= N) { + is = (2 * N - t + l - 1) * istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + + } + } + + +} + +void modwt_per_stride(int M, double *inp, int N, double *filt, int lpd_len, double *cA, int len_cA, double *cD, int istride, int ostride) { + int l, i, t, len_avg; + int is, os; + len_avg = lpd_len; + + + for (i = 0; i < len_cA; ++i) { + t = i; + os = i *ostride; + is = t *istride; + cA[os] = filt[0] * inp[is]; + cD[os] = filt[len_avg] * inp[is]; + for (l = 1; l < len_avg; l++) { + t -= M; + while (t >= len_cA) { + t -= len_cA; + } + while (t < 0) { + t += len_cA; + } + os = i * ostride; + is = t * istride; + cA[os] += filt[l] * inp[is]; + cD[os] += filt[len_avg + l] * inp[is]; + + } + } + +} + +void swt_per_stride(int M, double *inp, int N, double *lpd, double*hpd, int lpd_len, double *cA, int len_cA, double *cD, int istride, int ostride) { + int l, l2, isodd, i, t, len_avg, j; + int is, os; + len_avg = M * lpd_len; + l2 = len_avg / 2; + isodd = N % 2; + + for (i = 0; i < len_cA; ++i) { + t = i + l2; + os = i *ostride; + cA[os] = 0.0; + cD[os] = 0.0; + l = -1; + for (j = 0; j < len_avg; j += M) { + l++; + while (j >= len_cA) { + j -= len_cA; + } + if ((t - j) >= l2 && (t - j) < N) { + is = (t - j)*istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - j) < l2 && (t - j) >= 0) { + is = (t - j)*istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - j) < 0) { + is = (t - j + N)*istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - j) >= N && isodd == 0) { + is = (t - j - N)*istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else if ((t - j) >= N && isodd == 1) { + if (t - l != N) { + is = (t - j - (N + 1))*istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[is]; + } + else { + is = (N - 1)*istride; + cA[os] += lpd[l] * inp[is]; + cD[os] += hpd[l] * inp[N - 1]; + } + } + + } + } + +} + +void idwt_per_stride(double *cA, int len_cA, double *cD, double *lpr, double *hpr, int lpr_len, double *X, int istride, int ostride) { + int len_avg, i, l, m, n, t, l2; + int is, ms, ns; + + len_avg = lpr_len; + l2 = len_avg / 2; + m = -2; + n = -1; + + for (i = 0; i < len_cA + l2 - 1; ++i) { + m += 2; + n += 2; + ms = m * ostride; + ns = n * ostride; + X[ms] = 0.0; + X[ns] = 0.0; + for (l = 0; l < l2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < len_cA) { + is = (i - l) * istride; + X[ms] += lpr[t] * cA[is] + hpr[t] * cD[is]; + X[ns] += lpr[t + 1] * cA[is] + hpr[t + 1] * cD[is]; + } + else if ((i - l) >= len_cA && (i - l) < len_cA + len_avg - 1) { + is = (i - l - len_cA) * istride; + X[ms] += lpr[t] * cA[is] + hpr[t] * cD[is]; + X[ns] += lpr[t + 1] * cA[is] + hpr[t + 1] * cD[is]; + } + else if ((i - l) < 0 && (i - l) > -l2) { + is = (len_cA + i - l) * istride; + X[ms] += lpr[t] * cA[is] + hpr[t] * cD[is]; + X[ns] += lpr[t + 1] * cA[is] + hpr[t + 1] * cD[is]; + } + } + } +} + +void idwt_sym_stride(double *cA, int len_cA, double *cD, double *lpr, double *hpr, int lpr_len, double *X, int istride, int ostride) { + int len_avg, i, l, m, n, t, v; + int ms, ns, is; + len_avg = lpr_len; + m = -2; + n = -1; + + for (v = 0; v < len_cA; ++v) { + i = v; + m += 2; + n += 2; + ms = m * ostride; + ns = n * ostride; + X[ms] = 0.0; + X[ns] = 0.0; + for (l = 0; l < len_avg / 2; ++l) { + t = 2 * l; + if ((i - l) >= 0 && (i - l) < len_cA) { + is = (i - l) * istride; + X[ms] += lpr[t] * cA[is] + hpr[t] * cD[is]; + X[ns] += lpr[t + 1] * cA[is] + hpr[t + 1] * cD[is]; + } + } + } +} + +void imodwt_per_stride(int M, double *cA, int len_cA, double *cD, double *filt,int lf,double *X,int istride, int ostride) { + int len_avg, i, l, t; + int is, os; + + len_avg = lf; + + for (i = 0; i < len_cA; ++i) { + t = i; + os = i * ostride; + is = t *istride; + X[os] = (filt[0] * cA[is]) + (filt[len_avg] * cD[is]); + for (l = 1; l < len_avg; l++) { + t += M; + while (t >= len_cA) { + t -= len_cA; + } + while (t < 0) { + t += len_cA; + } + is = t *istride; + X[os] += (filt[l] * cA[is]) + (filt[len_avg + l] * cD[is]); + + } + } + +} + +void idwt2_shift(int shift, int rows, int cols, double *lpr, double *hpr, int lf, double *A,double *H, double *V,double *D, double *oup) { + int i, k, N, ir, ic, J, dim1, dim2; + int istride, ostride; + double *cL, *cH, *X_lp; + + + N = rows > cols ? 2 * rows : 2 * cols; + + J = 1; + dim1 = 2 * rows; + dim2 = 2 * cols; + + X_lp = (double*)malloc(sizeof(double)* (N + 2 * lf - 1)); + cL = (double*)calloc(dim1*dim2, sizeof(double)); + cH = (double*)calloc(dim1*dim2, sizeof(double)); + + ir = rows; + ic = cols; + istride = ic; + ostride = 1; + for (i = 0; i < ic; ++i) { + idwt_per_stride(A+i, ir, H+i, lpr, hpr, lf, X_lp, istride, ostride); + + for (k = lf / 2 - 1; k < 2 * ir + lf / 2 - 1; ++k) { + cL[(k - lf / 2 + 1)*ic + i] = X_lp[k]; + } + + idwt_per_stride(V+i, ir, D+i, lpr, hpr, lf, X_lp, istride, ostride); + + for (k = lf / 2 - 1; k < 2 * ir + lf / 2 - 1; ++k) { + cH[(k - lf / 2 + 1)*ic + i] = X_lp[k]; + } + } + ir *= 2; + istride = 1; + ostride = 1; + + for (i = 0; i < ir; ++i) { + idwt_per_stride(cL + i*ic, ic, cH + i*ic, lpr, hpr, lf, X_lp, istride, ostride); + + for (k = lf / 2 - 1; k < 2 * ic + lf / 2 - 1; ++k) { + oup[(k - lf / 2 + 1) + i*ic * 2] = X_lp[k]; + } + } + ic *= 2; + + + if (shift == -1) { + //Save the last column + for (i = 0; i < ir; ++i) { + cL[i] = oup[(i + 1)*ic - 1]; + } + // Save the last row + memcpy(cH, oup + (ir - 1)*ic, sizeof(double)*ic); + for (i = ir - 1; i > 0; --i) { + memcpy(oup + i*ic + 1, oup + (i - 1)*ic, sizeof(double)*(ic - 1)); + } + oup[0] = cL[ir - 1]; + for (i = 1; i < ir; ++i) { + oup[i*ic] = cL[i - 1]; + } + + for (i = 1; i < ic; ++i) { + oup[i] = cH[i - 1]; + } + } + + + free(X_lp); + free(cL); + free(cH); + +} + +int upsamp(double *x, int lenx, int M, double *y) { + int N, i, j, k; + + if (M < 0) { + return -1; + } + + if (M == 0) { + for (i = 0; i < lenx; ++i) { + y[i] = x[i]; + } + return lenx; + } + + N = M * (lenx - 1) + 1; + j = 1; + k = 0; + + for (i = 0; i < N; ++i) { + j--; + y[i] = 0.0; + if (j == 0) { + y[i] = x[k]; + k++; + j = M; + } + } + + return N; +} + +int upsamp2(double *x, int lenx, int M, double *y) { + int N, i, j, k; + // upsamp2 returns even numbered output. Last value is set to zero + if (M < 0) { + return -1; + } + + if (M == 0) { + for (i = 0; i < lenx; ++i) { + y[i] = x[i]; + } + return lenx; + } + + N = M * lenx; + j = 1; + k = 0; + + for (i = 0; i < N; ++i) { + j--; + y[i] = 0.0; + if (j == 0) { + y[i] = x[k]; + k++; + j = M; + } + } + + return N; +} + +int downsamp(double *x, int lenx, int M, double *y) { + int N, i; + + if (M < 0) { + return -1; + } + if (M == 0) { + for (i = 0; i < lenx; ++i) { + y[i] = x[i]; + } + return lenx; + } + + N = (lenx - 1) / M + 1; + + for (i = 0; i < N; ++i) { + y[i] = x[i*M]; + } + + return N; +} +/* +int per_ext(double *sig, int len, int a,double *oup) { + int i,len2; + // oup is of length len + (len%2) + 2 * a + for (i = 0; i < len; ++i) { + oup[a + i] = sig[i]; + } + len2 = len; + if ((len % 2) != 0) { + len2 = len + 1; + oup[a + len] = sig[len - 1]; + } + for (i = 0; i < a; ++i) { + oup[a-1-i] = sig[len - 1 - i]; + oup[len2 + a + i] = sig[i]; + } + + return len2; + +} +*/ + +int per_ext(double *sig, int len, int a, double *oup) { + int i, len2; + double temp1; + double temp2; + for (i = 0; i < len; ++i) { + oup[a + i] = sig[i]; + } + len2 = len; + if ((len % 2) != 0) { + len2 = len + 1; + oup[a + len] = sig[len - 1]; + } + for (i = 0; i < a; ++i) { + temp1 = oup[a + i]; + temp2 = oup[a + len2 - 1 - i]; + oup[a - 1 - i] = temp2; + oup[len2 + a + i] = temp1; + } + return len2; +} +/* +int symm_ext(double *sig, int len, int a, double *oup) { + int i, len2; + // oup is of length len + 2 * a + for (i = 0; i < len; ++i) { + oup[a + i] = sig[i]; + } + len2 = len; + for (i = 0; i < a; ++i) { + oup[a - 1 - i] = sig[i]; + oup[len2 + a + i] = sig[len - 1 - i]; + } + + return len2; + +} +*/ + +int symm_ext(double *sig, int len, int a, double *oup) { + int i, len2; + double temp1; + double temp2; + // oup is of length len + 2 * a + for (i = 0; i < len; ++i) { + oup[a + i] = sig[i]; + } + len2 = len; + for (i = 0; i < a; ++i) { + temp1 = oup[a + i]; + temp2 = oup[a + len2 - 1 - i]; + oup[a - 1 - i] = temp1; + oup[len2 + a + i] = temp2; + } + + return len2; + +} + +static int isign(int N) { + int M; + if (N >= 0) { + M = 1; + } + else { + M = -1; + } + + return M; +} + +static int iabs(int N) { + if (N >= 0) { + return N; + } + else { + return -N; + } +} + +void circshift(double *array, int N, int L) { + int i; + double *temp; + if (iabs(L) > N) { + L = isign(L) * (iabs(L) % N); + } + if (L < 0) { + L = (N + L) % N; + } + + temp = (double*)malloc(sizeof(double) * L); + + for (i = 0; i < L; ++i) { + temp[i] = array[i]; + } + + for (i = 0; i < N - L; ++i) { + array[i] = array[i + L]; + } + + for (i = 0; i < L; ++i) { + array[N - L + i] = temp[i]; + } + + free(temp); +} + +int testSWTlength(int N, int J) { + int ret,div,i; + ret = 1; + + div = 1; + for (i = 0; i < J; ++i) { + div *= 2; + } + + if (N % div) { + ret = 0; + } + + return ret; + +} + +int wmaxiter(int sig_len, int filt_len) { + int lev; + double temp; + + temp = log((double)sig_len / ((double)filt_len - 1.0)) / log(2.0); + lev = (int)temp; + + return lev; +} + +static double entropy_s(double *x,int N) { + int i; + double val,x2; + + val = 0.0; + + for(i = 0; i < N; ++i) { + if (x[i] != 0) { + x2 = x[i] * x[i]; + val -= x2 * log(x2); + } + } + return val; +} + +static double entropy_t(double *x,int N, double t) { + int i; + double val,x2; + if (t < 0) { + printf("Threshold value must be >= 0"); + exit(1); + } + val = 0.0; + + for(i = 0; i < N; ++i) { + x2 = fabs(x[i]); + if (x2 > t) { + val += 1; + } + + } + + return val; + +} + +static double entropy_n(double *x,int N,double p) { + int i; + double val,x2; + if (p < 1) { + printf("Norm power value must be >= 1"); + exit(1); + } + val = 0.0; + for(i = 0; i < N; ++i) { + x2 = fabs(x[i]); + val += pow(x2,(double)p); + + } + + return val; +} + +static double entropy_l(double *x,int N) { + int i; + double val,x2; + + val = 0.0; + + for(i = 0; i < N; ++i) { + if (x[i] != 0) { + x2 = x[i] * x[i]; + val += log(x2); + } + } + return val; +} + +double costfunc(double *x, int N ,char *entropy,double p) { + double val; + + if (!strcmp(entropy, "shannon")) { + val = entropy_s(x, N); + } + else if (!strcmp(entropy, "threshold")) { + val = entropy_t(x, N,p); + } + else if (!strcmp(entropy, "norm")) { + val = entropy_n(x, N,p); + } + else if (!strcmp(entropy, "logenergy") || !strcmp(entropy, "log energy") || !strcmp(entropy, "energy")) { + val = entropy_l(x, N); + } + else { + printf("Entropy must be one of shannon, threshold, norm or energy"); + exit(-1); + } + + return val; +} diff --git a/dep/wavelib/src/wtmath.h b/dep/wavelib/src/wtmath.h new file mode 100644 index 0000000..224d41e --- /dev/null +++ b/dep/wavelib/src/wtmath.h @@ -0,0 +1,60 @@ +/* +Copyright (c) 2014, Rafat Hussain +*/ +#ifndef WTMATH_H_ +#define WTMATH_H_ + +#include "wavefilt.h" + +#ifdef __cplusplus +extern "C" { +#endif + +void dwt_per_stride(double *inp, int N, double *lpd,double*hpd,int lpd_len, +double *cA, int len_cA, double *cD, int istride, int ostride); + +void dwt_sym_stride(double *inp, int N, double *lpd, double*hpd, int lpd_len, +double *cA, int len_cA, double *cD, int istride, int ostride); + +void modwt_per_stride(int M, double *inp, int N, double *filt, int lpd_len, +double *cA, int len_cA, double *cD, int istride, int ostride); + +void swt_per_stride(int M, double *inp, int N, double *lpd, double*hpd, int lpd_len, +double *cA, int len_cA, double *cD, int istride, int ostride); + +void idwt_per_stride(double *cA, int len_cA, double *cD, double *lpr, double *hpr, +int lpr_len, double *X, int istride, int ostride); + +void idwt_sym_stride(double *cA, int len_cA, double *cD, double *lpr, double *hpr, +int lpr_len, double *X, int istride, int ostride); + +void imodwt_per_stride(int M, double *cA, int len_cA, double *cD, double *filt, +int lf,double *X,int istride, int ostride); + +void idwt2_shift(int shift, int rows, int cols, double *lpr, double *hpr, int lf, +double *A,double *H, double *V,double *D, double *oup); + +int upsamp(double *x, int lenx, int M, double *y); + +int upsamp2(double *x, int lenx, int M, double *y); + +int downsamp(double *x, int lenx, int M, double *y); + +int per_ext(double *sig, int len, int a,double *oup); + +int symm_ext(double *sig, int len, int a,double *oup); + +void circshift(double *array, int N, int L); + +int testSWTlength(int N, int J); + +int wmaxiter(int sig_len, int filt_len); + +double costfunc(double *x, int N, char *entropy, double p); + +#ifdef __cplusplus +} +#endif + + +#endif /* WAVELIB_H_ */ diff --git a/dep/wavelib/test/CMakeLists.txt b/dep/wavelib/test/CMakeLists.txt new file mode 100644 index 0000000..64f5017 --- /dev/null +++ b/dep/wavelib/test/CMakeLists.txt @@ -0,0 +1,48 @@ +add_executable(cwttest cwttest.c) + +target_link_libraries(cwttest wavelib) + +add_executable(dwttest dwttest.c) + +target_link_libraries(dwttest wavelib) + +add_executable(swttest swttest.c) + +target_link_libraries(swttest wavelib) + +add_executable(modwttest modwttest.c) + +target_link_libraries(modwttest wavelib) + +add_executable(dwpttest dwpttest.c) + +target_link_libraries(dwpttest wavelib) + +add_executable(wtreetest wtreetest.c) + +target_link_libraries(wtreetest wavelib) + +add_executable(denoisetest denoisetest.c) + +target_link_libraries(denoisetest wauxlib wavelib) + +add_executable(modwtdenoisetest modwtdenoisetest.c) + +target_link_libraries(modwtdenoisetest wauxlib wavelib) + +add_executable(dwt2test dwt2test.c) + +target_link_libraries(dwt2test wavelib) + +add_executable(swt2test swt2test.c) + +target_link_libraries(swt2test wavelib) + +add_executable(modwt2test modwt2test.c) + +target_link_libraries(modwt2test wavelib) + +set_target_properties(cwttest dwttest swttest modwttest dwpttest wtreetest denoisetest modwtdenoisetest dwt2test swt2test modwt2test + PROPERTIES + RUNTIME_OUTPUT_DIRECTORY "${CMAKE_SOURCE_DIR}/test" + ) diff --git a/dep/wavelib/test/PieceRegular10.txt b/dep/wavelib/test/PieceRegular10.txt new file mode 100644 index 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a/dep/wavelib/test/cwttest.c b/dep/wavelib/test/cwttest.c new file mode 100644 index 0000000..2da4ddc --- /dev/null +++ b/dep/wavelib/test/cwttest.c @@ -0,0 +1,109 @@ +#include +#include +#include +#include +#include "../header/wavelib.h" + +int main() { + int i, N, J,subscale,a0,iter,nd,k; + double *inp,*oup; + double dt, dj,s0, param,mn; + double td,tn,den, num, recon_mean, recon_var; + cwt_object wt; + + FILE *ifp; + double temp[1200]; + + char *wave = "morlet";// Set Morlet wavelet. Other options "paul" and "dog" + char *type = "pow"; + + N = 504; + param = 6.0; + subscale = 4; + dt = 0.25; + s0 = dt; + dj = 1.0 / (double)subscale; + J = 11 * subscale; // Total Number of scales + a0 = 2;//power + + ifp = fopen("sst_nino3.dat", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + + fclose(ifp); + + wt = cwt_init(wave, param, N,dt, J); + + inp = (double*)malloc(sizeof(double)* N); + oup = (double*)malloc(sizeof(double)* N); + + for (i = 0; i < N; ++i) { + inp[i] = temp[i] ; + } + + setCWTScales(wt, s0, dj, type, a0); + + cwt(wt, inp); + + printf("\n MEAN %g \n", wt->smean); + + mn = 0.0; + + for (i = 0; i < N; ++i) { + mn += sqrt(wt->output[i].re * wt->output[i].re + wt->output[i].im * wt->output[i].im); + } + + cwt_summary(wt); + + printf("\n abs mean %g \n", mn / N); + + printf("\n\n"); + printf("Let CWT w = w(j, n/2 - 1) where n = %d\n\n", N); + nd = N/2 - 1; + + printf("%-15s%-15s%-15s%-15s \n","j","Scale","Period","ABS(w)^2"); + for(k = 0; k < wt->J;++k) { + iter = nd + k * N; + printf("%-15d%-15lf%-15lf%-15lf \n",k,wt->scale[k],wt->period[k], + wt->output[iter].re * wt->output[iter].re + wt->output[iter].im * wt->output[iter].im); + } + + icwt(wt, oup); + + num = den = recon_var = recon_mean = 0.0; + printf("\n\n"); + printf("Signal Reconstruction\n"); + printf("%-15s%-15s%-15s \n","i","Input(i)","Output(i)"); + + for (i = N - 10; i < N; ++i) { + printf("%-15d%-15lf%-15lf \n", i,inp[i] , oup[i]); + } + + for (i = 0; i < N; ++i) { + //printf("%g %g \n", oup[i] ,inp[i] - wt->smean); + td = inp[i] ; + tn = oup[i] - td; + num += (tn * tn); + den += (td * td); + recon_mean += oup[i]; + } + + recon_var = sqrt(num / N); + recon_mean /= N; + + printf("\nRMS Error %g \n", sqrt(num) / sqrt(den)); + printf("\nVariance %g \n", recon_var); + printf("\nMean %g \n", recon_mean); + + free(inp); + free(oup); + cwt_free(wt); + return 0; +} diff --git a/dep/wavelib/test/denoisetest b/dep/wavelib/test/denoisetest new file mode 100755 index 0000000..c6fb927 Binary files /dev/null and b/dep/wavelib/test/denoisetest differ diff --git a/dep/wavelib/test/denoisetest.c b/dep/wavelib/test/denoisetest.c new file mode 100644 index 0000000..8b7e6ec --- /dev/null +++ b/dep/wavelib/test/denoisetest.c @@ -0,0 +1,139 @@ +#include +#include +#include +#include + +#include "../header/wauxlib.h" + +static double rmse(int N,double *x,double *y) { + double rms; + int i; + + rms = 0.0; + + for(i = 0; i < N;++i) { + rms += (x[i] - y[i]) * (x[i] - y[i]); + } + + rms = sqrt(rms/(double)N); + + return rms; +} + +static double corrcoef(int N,double *x,double *y) { + double cc,xm,ym,tx,ty,num,den1,den2; + int i; + xm = ym = 0.0; + for(i = 0; i < N;++i) { + xm += x[i]; + ym += y[i]; + } + + xm = xm/N; + ym = ym / N; + num = den1 = den2 = 0.0; + + for(i = 0; i < N;++i) { + tx = x[i] - xm; + ty = y[i] - ym; + num += (tx*ty); + den1 += (tx*tx); + den2 += (ty*ty); + } + + cc = num / sqrt(den1*den2); + + return cc; +} + +int main() { + // gcc -Wall -I../header -L../Bin denoisetest.c -o denoise -lwauxlib -lwavelib -lm + double *sig,*inp,*oup; + int i,N,J; + FILE *ifp; + + denoise_object obj; + double temp[2400]; + + char *wname = "db5"; + char *method = "dwt";// Available - dwt, swt and modwt. modwt works only with modwtshrink. The other two methods work with + // visushrink and sureshrink + char *ext = "sym";// sym and per work with dwt. swt and modwt only use per extension when called through denoise. + // You can use sy extension if you directly call modwtshrink with cmethod set to fft. See modwtdenoisetest.c file + char *thresh = "soft";// soft or hard + char *level = "all"; // noise estimation at "first" or "all" levels. modwt only has the option of "all" + + ifp = fopen("pieceregular1024.txt", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + + fclose(ifp); + + N = i; + J = 4; + + sig = (double*)malloc(sizeof(double)* N); + inp = (double*)malloc(sizeof(double)* N); + oup = (double*)malloc(sizeof(double)* N); + + for(i = 0; i < N;++i) { + sig[i] = temp[i]; + } + + ifp = fopen("PieceRegular10.txt", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + + fclose(ifp); + + for(i = 0; i < N;++i) { + inp[i] = temp[i]; + } + obj = denoise_init(N,J,wname); + setDenoiseMethod(obj,"visushrink");// sureshrink is also the default. The other option with dwt and swt is visushrink. + // modwt works only with modwtshrink method + setDenoiseWTMethod(obj,method);// Default is dwt. the other options are swt and modwt + setDenoiseWTExtension(obj,ext);// Default is sym. the other option is per + setDenoiseParameters(obj,thresh,level);// Default for thresh is soft. Other option is hard + // Default for level is all. The other option is first + + denoise(obj,inp,oup); + + // Alternative to denoise_object + // Just use visushrink, modwtshrink and sureshrink functions + //visushrink(inp,N,J,wname,method,ext,thresh,level,oup); + //sureshrink(inp,N,J,wname,method,ext,thresh,level,oup); + // modwtshrink(sig,N,J,wname,cmethod,ext,thresh,oup); See modwtdenoisetest.c + //ofp = fopen("denoiseds.txt", "w"); + + + printf("Signal - Noisy Signal Stats \n"); + printf("RMSE %g\n",rmse(N,sig,inp)); + printf("Corr Coeff %g\n",corrcoef(N,sig,inp)); + + printf("Signal - DeNoised Signal Stats \n"); + printf("RMSE %g\n",rmse(N,sig,oup)); + printf("Corr Coeff %g\n",corrcoef(N,sig,oup)); + + free(sig); + free(inp); + denoise_free(obj); + free(oup); + return 0; +} diff --git a/dep/wavelib/test/dwpttest b/dep/wavelib/test/dwpttest new file mode 100755 index 0000000..2118ef7 Binary files /dev/null and b/dep/wavelib/test/dwpttest differ diff --git a/dep/wavelib/test/dwpttest.c b/dep/wavelib/test/dwpttest.c new file mode 100644 index 0000000..c2d0547 --- /dev/null +++ b/dep/wavelib/test/dwpttest.c @@ -0,0 +1,61 @@ +#include +#include +#include +#include +#include "../header/wavelib.h" + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +int main() { + int i, J, N; + wave_object obj; + wpt_object wt; + double *inp, *oup, *diff; + + char *name = "db4"; + obj = wave_init(name);// Initialize the wavelet + N = 788 + 23; + inp = (double*)malloc(sizeof(double)* N); + oup = (double*)malloc(sizeof(double)* N); + diff = (double*)malloc(sizeof(double)* N); + for (i = 1; i < N + 1; ++i) { + //inp[i - 1] = -0.25*i*i*i + 25 * i *i + 10 * i; + inp[i - 1] = i; + } + J = 4; + + wt = wpt_init(obj, N, J);// Initialize the wavelet transform Tree object + setDWPTExtension(wt, "per");// Options are "per" and "sym". Symmetric is the default option + setDWPTEntropy(wt, "logenergy", 0); + + dwpt(wt, inp); // Discrete Wavelet Packet Transform + + idwpt(wt, oup); // Inverse Discrete Wavelet Packet Transform + + for (i = 0; i < N; ++i) { + diff[i] = (inp[i] - oup[i])/inp[i]; + } + + wpt_summary(wt); // Tree Summary + + printf("\n MAX %g \n", absmax(diff, wt->siglength)); // If Reconstruction succeeded then the output should be a small value. + + free(inp); + free(oup); + free(diff); + wave_free(obj); + wpt_free(wt); + return 0; +} diff --git a/dep/wavelib/test/dwt2test b/dep/wavelib/test/dwt2test new file mode 100755 index 0000000..429ee1a Binary files /dev/null and b/dep/wavelib/test/dwt2test differ diff --git a/dep/wavelib/test/dwt2test.c b/dep/wavelib/test/dwt2test.c new file mode 100644 index 0000000..61cb14e --- /dev/null +++ b/dep/wavelib/test/dwt2test.c @@ -0,0 +1,87 @@ +#include +#include +#include +#include +#include +#include "../header/wavelib.h" + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +double generate_rnd() { + double rnd; + + rnd = (double) (rand() % 100 + 1); + + return rnd; +} + +int main() { + wave_object obj; + wt2_object wt; + int i, k, J, rows, cols,N; + double *inp, *wavecoeffs,*oup,*diff; + double *cLL; + int ir, ic; + double amax; + + rows = 32; + cols = 30; + N = rows*cols; + + char *name = "db2"; + obj = wave_init(name);// Initialize the wavelet + srand(time(0)); + inp = (double*)calloc(N, sizeof(double)); + oup = (double*)calloc(N, sizeof(double)); + diff = (double*)calloc(N, sizeof(double)); + + J = 3; + + wt = wt2_init(obj, "dwt", rows,cols, J); + + for (i = 0; i < rows; ++i) { + for (k = 0; k < cols; ++k) { + //inp[i*cols + k] = i*cols + k; + inp[i*cols + k] = generate_rnd(); + oup[i*cols + k] = 0.0; + } + } + + wavecoeffs = dwt2(wt, inp); + + cLL = getWT2Coeffs(wt, wavecoeffs, 1, "D", &ir, &ic); + + dispWT2Coeffs(cLL, ir, ic); + + idwt2(wt, wavecoeffs, oup); + + for (i = 0; i < rows*cols; ++i) { + diff[i] = oup[i] - inp[i]; + } + + amax = absmax(diff, rows*cols); + + wt2_summary(wt); + + printf("Abs Max %g \n", amax); + + wave_free(obj); + wt2_free(wt); + free(inp); + free(wavecoeffs); + free(oup); + free(diff); + return 0; +} diff --git a/dep/wavelib/test/dwttest b/dep/wavelib/test/dwttest new file mode 100755 index 0000000..e55ab8f Binary files /dev/null and b/dep/wavelib/test/dwttest differ diff --git a/dep/wavelib/test/dwttest.c b/dep/wavelib/test/dwttest.c new file mode 100644 index 0000000..dd0a017 --- /dev/null +++ b/dep/wavelib/test/dwttest.c @@ -0,0 +1,85 @@ +#include +#include +#include +#include +#include "../header/wavelib.h" + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +int main() { + wave_object obj; + wt_object wt; + double *inp,*out,*diff; + int N, i,J; + + FILE *ifp; + double temp[1200]; + + char *name = "db4"; + obj = wave_init(name);// Initialize the wavelet + + ifp = fopen("signal.txt", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + N = 256; + + fclose(ifp); + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + diff = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = temp[i]; + //printf("%g \n",inp[i]); + } + J = 3; + + wt = wt_init(obj, "dwt", N, J);// Initialize the wavelet transform object + setDWTExtension(wt, "sym");// Options are "per" and "sym". Symmetric is the default option + setWTConv(wt, "direct"); + + dwt(wt, inp);// Perform DWT + //DWT output can be accessed using wt->output vector. Use wt_summary to find out how to extract appx and detail coefficients + + for (i = 0; i < wt->outlength; ++i) { + printf("%g ",wt->output[i]); + } + + idwt(wt, out);// Perform IDWT (if needed) + // Test Reconstruction + for (i = 0; i < wt->siglength; ++i) { + diff[i] = out[i] - inp[i]; + } + + printf("\n MAX %g \n", absmax(diff, wt->siglength)); // If Reconstruction succeeded then the output should be a small value. + + wt_summary(wt);// Prints the full summary. + wave_free(obj); + wt_free(wt); + + free(inp); + free(out); + free(diff); + return 0; +} diff --git a/dep/wavelib/test/modwt2test b/dep/wavelib/test/modwt2test new file mode 100755 index 0000000..d59adfc Binary files /dev/null and b/dep/wavelib/test/modwt2test differ diff --git a/dep/wavelib/test/modwt2test.c b/dep/wavelib/test/modwt2test.c new file mode 100644 index 0000000..3f609f9 --- /dev/null +++ b/dep/wavelib/test/modwt2test.c @@ -0,0 +1,82 @@ +#include +#include +#include +#include +#include +#include "../header/wavelib.h" + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +double generate_rnd() { + double rnd; + + rnd = (double) (rand() % 100 + 1); + + return rnd; +} + +int main() { + wave_object obj; + wt2_object wt; + int i, k, J, rows, cols,N,ir,ic; + double *inp, *wavecoeffs, *oup,*cLL,*diff; + double amax; + rows = 51; + cols = 40; + N = rows*cols; + char *name = "db2"; + obj = wave_init(name);// Initialize the wavelet + + inp = (double*)calloc(N, sizeof(double)); + oup = (double*)calloc(N, sizeof(double)); + diff = (double*)calloc(N, sizeof(double)); + J = 2; + + wt = wt2_init(obj, "modwt", rows, cols, J); + + for (i = 0; i < rows; ++i) { + for (k = 0; k < cols; ++k) { + //inp[i*cols + k] = i*cols + k; + inp[i*cols + k] = generate_rnd(); + oup[i*cols + k] = 0.0; + } + } + + wavecoeffs = modwt2(wt, inp); + + cLL = getWT2Coeffs(wt, wavecoeffs, J, "A", &ir, &ic); + + //dispWT2Coeffs(cLL, ir, ic); + + imodwt2(wt, wavecoeffs, oup); + + for (i = 0; i < N; ++i) { + diff[i] = oup[i] - inp[i]; + } + + amax = absmax(diff, N); + + wt2_summary(wt); + + printf("Abs Max %g \n", amax); + + wave_free(obj); + wt2_free(wt); + free(inp); + free(wavecoeffs); + free(oup); + free(diff); + return 0; +} diff --git a/dep/wavelib/test/modwtdenoisetest b/dep/wavelib/test/modwtdenoisetest new file mode 100755 index 0000000..7e7064e Binary files /dev/null and b/dep/wavelib/test/modwtdenoisetest differ diff --git a/dep/wavelib/test/modwtdenoisetest.c b/dep/wavelib/test/modwtdenoisetest.c new file mode 100644 index 0000000..62f9728 --- /dev/null +++ b/dep/wavelib/test/modwtdenoisetest.c @@ -0,0 +1,123 @@ +#include +#include +#include +#include + +#include "../header/wauxlib.h" + +static double rmse(int N,double *x,double *y) { + double rms; + int i; + + rms = 0.0; + + for(i = 0; i < N;++i) { + rms += (x[i] - y[i]) * (x[i] - y[i]); + } + + rms = sqrt(rms/(double)N); + + return rms; +} + +static double corrcoef(int N,double *x,double *y) { + double cc,xm,ym,tx,ty,num,den1,den2; + int i; + xm = ym = 0.0; + for(i = 0; i < N;++i) { + xm += x[i]; + ym += y[i]; + } + + xm = xm/N; + ym = ym / N; + num = den1 = den2 = 0.0; + + for(i = 0; i < N;++i) { + tx = x[i] - xm; + ty = y[i] - ym; + num += (tx*ty); + den1 += (tx*tx); + den2 += (ty*ty); + } + + cc = num / sqrt(den1*den2); + + return cc; +} + +int main() { + // gcc -Wall -I../header -L../Bin modwtdenoisetest.c -o modwtdenoise -lwauxlib -lwavelib -lm + /* + modwtshrink can also be called from the denoise object. See denoisetest.c for more information + */ + double *sig,*inp,*oup; + int i,N,J; + FILE *ifp; + + double temp[2400]; + + char *wname = "db5"; + char *ext = "per";// The other option sym is only available with "fft" cmethod + char *thresh = "soft"; + char *cmethod = "direct";// The other option is "fft" + + ifp = fopen("pieceregular1024.txt", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + + fclose(ifp); + + N = i; + J = 4; + + sig = (double*)malloc(sizeof(double)* N); + inp = (double*)malloc(sizeof(double)* N); + oup = (double*)malloc(sizeof(double)* N); + + for(i = 0; i < N;++i) { + sig[i] = temp[i]; + } + + ifp = fopen("PieceRegular10.txt", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + + fclose(ifp); + + for(i = 0; i < N;++i) { + inp[i] = temp[i]; + } + + modwtshrink(sig,N,J,wname,cmethod,ext,thresh,oup); + + + printf("Signal - Noisy Signal Stats \n"); + printf("RMSE %g\n",rmse(N,sig,inp)); + printf("Corr Coeff %g\n",corrcoef(N,sig,inp)); + + printf("Signal - DeNoised Signal Stats \n"); + printf("RMSE %g\n",rmse(N,sig,oup)); + printf("Corr Coeff %g\n",corrcoef(N,sig,oup)); + + free(sig); + free(inp); + free(oup); + return 0; +} diff --git a/dep/wavelib/test/modwttest b/dep/wavelib/test/modwttest new file mode 100755 index 0000000..7d10dea Binary files /dev/null and b/dep/wavelib/test/modwttest differ diff --git a/dep/wavelib/test/modwttest.c b/dep/wavelib/test/modwttest.c new file mode 100644 index 0000000..270119b --- /dev/null +++ b/dep/wavelib/test/modwttest.c @@ -0,0 +1,88 @@ +#include +#include +#include +#include +#include "../header/wavelib.h" + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +int main() { + wave_object obj; + wt_object wt; + double *inp, *out, *diff; + int N, i, J; + + FILE *ifp; + double temp[1200]; + + char *name = "db4"; + obj = wave_init(name); + wave_summary(obj); + + ifp = fopen("signal.txt", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + N = 177; + + fclose(ifp); + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + diff = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = temp[i]; + //printf("%g \n",inp[i]); + } + J = 2; + + wt = wt_init(obj, "modwt", N, J);// Initialize the wavelet transform object + + modwt(wt, inp);// Perform MODWT + //MODWT output can be accessed using wt->output vector. Use wt_summary to find out how to extract appx and detail coefficients + + for (i = 0; i < wt->outlength; ++i) { + printf("%g ",wt->output[i]); + } + + imodwt(wt, out);// Perform ISWT (if needed) + // Test Reconstruction + + + for (i = 0; i < wt->siglength; ++i) { + diff[i] = out[i] - inp[i]; + } + + printf("\n MAX %g \n", absmax(diff, wt->siglength));// If Reconstruction succeeded then the output should be a small value. + + wt_summary(wt);// Prints the full summary. + + wave_free(obj); + wt_free(wt); + + free(inp); + free(out); + free(diff); + return 0; +} + diff --git a/dep/wavelib/test/noisybumps.txt b/dep/wavelib/test/noisybumps.txt new file mode 100644 index 0000000..882eb3e --- /dev/null +++ b/dep/wavelib/test/noisybumps.txt @@ -0,0 +1,2048 @@ +-0.1675 + 0.0723 + 0.0673 + 0.0034 + 0.0865 + -0.0467 + 0.0194 + 0.0493 + 0.0269 + -0.0878 + -0.0734 + -0.0386 + -0.0698 + -0.1569 + 0.0757 + 0.0531 + -0.0596 + 0.1484 + -0.0056 + 0.1298 + 0.1071 + -0.0338 + -0.0525 + 0.1059 + 0.0584 + 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(fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +double generate_rnd() { + double rnd; + + rnd = (double) (rand() % 100 + 1); + + return rnd; +} + +int main() { + wave_object obj; + wt2_object wt; + int i, k, J, rows, cols; + double *inp, *wavecoeffs, *oup, *cLL,*diff; + double amax; + int ir, ic, N; + rows = 64; + cols = 48; + + char *name = "bior3.1"; + obj = wave_init(name);// Initialize the wavelet + N = rows*cols; + inp = (double*)calloc(N, sizeof(double)); + oup = (double*)calloc(N, sizeof(double)); + diff = (double*)calloc(N, sizeof(double)); + J = 2; + + wt = wt2_init(obj, "swt", rows, cols, J); + + for (i = 0; i < rows; ++i) { + for (k = 0; k < cols; ++k) { + //inp[i*cols + k] = i*cols + k; + inp[i*cols + k] = generate_rnd(); + oup[i*cols + k] = 0.0; + } + } + + wavecoeffs = swt2(wt, inp); + + cLL = getWT2Coeffs(wt, wavecoeffs, J, "A", &ir, &ic); + + dispWT2Coeffs(cLL, ir, ic); + + iswt2(wt, wavecoeffs, oup); + + for (i = 0; i < N; ++i) { + diff[i] = oup[i] - inp[i]; + } + + amax = absmax(diff, N); + + wt2_summary(wt); + + printf("Abs Max %g \n", amax); + + wave_free(obj); + wt2_free(wt); + free(inp); + free(wavecoeffs); + free(oup); + free(diff); + return 0; +} diff --git a/dep/wavelib/test/swttest b/dep/wavelib/test/swttest new file mode 100755 index 0000000..56164e7 Binary files /dev/null and b/dep/wavelib/test/swttest differ diff --git a/dep/wavelib/test/swttest.c b/dep/wavelib/test/swttest.c new file mode 100644 index 0000000..5174edc --- /dev/null +++ b/dep/wavelib/test/swttest.c @@ -0,0 +1,87 @@ +#include +#include +#include +#include +#include "../header/wavelib.h" + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +int main() { + wave_object obj; + wt_object wt; + double *inp, *out, *diff; + int N, i, J; + + FILE *ifp; + double temp[1200]; + + char *name = "bior3.5"; + obj = wave_init(name);// Initialize the wavelet + + ifp = fopen("signal.txt", "r"); + i = 0; + if (!ifp) { + printf("Cannot Open File"); + exit(100); + } + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + N = 256; + fclose(ifp); + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + diff = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = temp[i]; + //printf("%g \n",inp[i]); + } + J = 1; + + wt = wt_init(obj, "swt", N, J);// Initialize the wavelet transform object + setWTConv(wt, "direct"); + + + swt(wt, inp);// Perform SWT + //SWT output can be accessed using wt->output vector. Use wt_summary to find out how to extract appx and detail coefficients + + for (i = 0; i < wt->outlength; ++i) { + printf("%g ",wt->output[i]); + } + + iswt(wt, out);// Perform ISWT (if needed) + // Test Reconstruction + + + for (i = 0; i < wt->siglength; ++i) { + diff[i] = out[i] - inp[i]; + } + + printf("\n MAX %g \n", absmax(diff, wt->siglength));// If Reconstruction succeeded then the output should be a small value. + + wt_summary(wt);// Prints the full summary. + + + wave_free(obj); + wt_free(wt); + + free(inp); + free(out); + free(diff); + return 0; +} diff --git a/dep/wavelib/test/wtreetest b/dep/wavelib/test/wtreetest new file mode 100755 index 0000000..8516409 Binary files /dev/null and b/dep/wavelib/test/wtreetest differ diff --git a/dep/wavelib/test/wtreetest.c b/dep/wavelib/test/wtreetest.c new file mode 100644 index 0000000..da3b75e --- /dev/null +++ b/dep/wavelib/test/wtreetest.c @@ -0,0 +1,47 @@ +#include +#include +#include +#include +#include "../header/wavelib.h" + +int main() { + int i, J, N, len; + int X, Y; + wave_object obj; + wtree_object wt; + double *inp, *oup; + + char *name = "db3"; + obj = wave_init(name);// Initialize the wavelet + N = 147; + inp = (double*)malloc(sizeof(double)* N); + for (i = 1; i < N + 1; ++i) { + inp[i - 1] = -0.25*i*i*i + 25 * i *i + 10 * i; + } + J = 3; + + wt = wtree_init(obj, N, J);// Initialize the wavelet transform object + setWTREEExtension(wt, "sym");// Options are "per" and "sym". Symmetric is the default option + + wtree(wt, inp); + wtree_summary(wt); + X = 3; + Y = 5; + len = getWTREENodelength(wt, X); + printf("\n %d", len); + printf("\n"); + oup = (double*)malloc(sizeof(double)* len); + + printf("Node [%d %d] Coefficients : \n",X,Y); + getWTREECoeffs(wt, X, Y, oup, len); + for (i = 0; i < len; ++i) { + printf("%g ", oup[i]); + } + printf("\n"); + + free(inp); + free(oup); + wave_free(obj); + wtree_free(wt); + return 0; +} diff --git a/dep/wavelib/unitTests/CMakeLists.txt b/dep/wavelib/unitTests/CMakeLists.txt new file mode 100644 index 0000000..dbee49a --- /dev/null +++ b/dep/wavelib/unitTests/CMakeLists.txt @@ -0,0 +1,3 @@ + +add_subdirectory(wavelibBoostTests) + diff --git a/dep/wavelib/unitTests/wavelibBoostTests/CMakeLists.txt b/dep/wavelib/unitTests/wavelibBoostTests/CMakeLists.txt new file mode 100644 index 0000000..3b746b7 --- /dev/null +++ b/dep/wavelib/unitTests/wavelibBoostTests/CMakeLists.txt @@ -0,0 +1,27 @@ + +set(SOURCE_FILES + tst_dwt.cpp + + ) + + + + + +add_executable(wavelibLibTests ${SOURCE_FILES} ) + +add_test(NAME wavelibLibTests WORKING_DIRECTORY ${CMAKE_SOURCE_DIR}/test COMMAND wavelibLibTests) + +add_dependencies(wavelibLibTests wavelib) +target_link_libraries(wavelibLibTests wavelib) + +target_include_directories(wavelibLibTests PUBLIC + ${CMAKE_CURRENT_SOURCE_DIR}/../../header + ) + + +install(TARGETS wavelibLibTests + RUNTIME DESTINATION bin + LIBRARY DESTINATION tests + ARCHIVE DESTINATION tests + ) diff --git a/dep/wavelib/unitTests/wavelibBoostTests/tst_dwt.cpp b/dep/wavelib/unitTests/wavelibBoostTests/tst_dwt.cpp new file mode 100644 index 0000000..4b7b511 --- /dev/null +++ b/dep/wavelib/unitTests/wavelibBoostTests/tst_dwt.cpp @@ -0,0 +1,1224 @@ +/* + * Copyright (c) 2016 Holger Nahrstaedt (TU Berlin) + */ + +#include +#include + +#include +#include +#include +#include + +#include "../../header/wavelib.h" + +#include + +namespace patch +{ + template < typename T > std::string to_string( const T& n ) + { + std::ostringstream stm ; + stm << n ; + return stm.str() ; + } +} + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +double sum1(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 0; i < N; ++i) { + sum += array[i]; + } + return sum; +} +double sum2(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 0; i < N; i+=2) { + sum += array[i]; + } + return sum; +} +double sum3(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 1; i < N; i += 2) { + sum += array[i]; + } + return sum; +} +//np.sum(w[2*m:(2*N+2*m)]*w[0:2*N]) +double sum4(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 0; i < N; i += 1) { + sum += array[i] * array[i]; + } + return sum; +} +//np.sum(w[2 * m:(2 * N)] * w[0:2 * N - 2 * m]) +double sum5(double *array, int N,int m) { + double sum; + int i; + + sum = 0.0; + for (i = 2*m; i < N; i += 1) { + sum += array[i] * array[i-2*m]; + } + return sum; +} + +double RMS_Error(double *data, double *rec, int N) { + int i; + double sum = 0; + for (i = 0; i < N; ++i) { + sum += (data[i] - rec[i])*(data[i] - rec[i]); + } + return sqrt(sum/((double)N-1)); +} + +double REL_Error(double *data, double *rec, int N) { + int i; + double sum1 = 0; + double sum2 = 0; + for (i = 0; i < N; ++i) { + sum1 += (data[i] - rec[i])*(data[i] - rec[i]); + sum2 += data[i] * data[i]; + } + return sqrt(sum1)/sqrt(sum2); +} + +double generate_rnd() { + double rnd; + + rnd = (double) (rand() % 100 + 1); + + return rnd; +} + +void DWTReconstructionTest() +{ + + wave_object obj; + wt_object wt; + double *inp,*out; + int N, i,J; + double epsilon = 1e-15; + + N = 79926; + + //N = 256; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = (rand() / (double)(RAND_MAX)); + } + std::vector waveletNames; + + for (unsigned int j = 0; j < 36; j++) + { + waveletNames.push_back(std::string("db") + patch::to_string(j + 1)); + } + for (unsigned int j = 0; j < 17; j++) + { + waveletNames.push_back(std::string("coif") + patch::to_string(j + 1)); + } + for (unsigned int j = 1; j < 20; j++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(j + 1)); + } + + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + + for (unsigned int direct_fft = 0; direct_fft < 2; direct_fft++) + { + for (unsigned int sym_per = 0; sym_per < 2; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 3; J++) + { + //J = 3; + + wt = wt_init(obj,(char*) "dwt", N, J);// Initialize the wavelet transform object + if (sym_per == 0) + setDWTExtension(wt, (char*) "sym");// Options are "per" and "sym". Symmetric is the default option + else + setDWTExtension(wt, (char*) "per"); + if (direct_fft == 0) + setWTConv(wt, (char*) "direct"); + else + setWTConv(wt, (char*) "fft"); + + dwt(wt, inp);// Perform DWT + + idwt(wt, out);// Perform IDWT (if needed) + // Test Reconstruction + + if (direct_fft == 0) + epsilon = 1e-8; + else + epsilon = 1e-10; + //BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + + //printf("%g ",RMS_Error(out, inp, wt->siglength)); + if (RMS_Error(out, inp, wt->siglength) > epsilon) { + printf("\n ERROR : DWT Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + wt_free(wt); + } + wave_free(obj); + delete[] name; + } + } + } + + free(out); + free(inp); +} + +void DWT2ReconstructionTest() +{ + wave_object obj; + wt2_object wt; + int i, k, J, N, rows, cols; + double *inp, *wavecoeffs,*out; + double epsilon; + + rows = 1024; + cols = 1000; + + N = rows*cols; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + + std::vector waveletNames; + + for (unsigned int j = 0; j < 15; j++) + { + waveletNames.push_back(std::string("db") + patch::to_string(j + 1)); + } + for (unsigned int j = 0; j < 5; j++) + { + waveletNames.push_back(std::string("coif") + patch::to_string(j + 1)); + } + for (unsigned int j = 1; j < 10; j++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(j + 1)); + } + + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + + for (i = 0; i < rows; ++i) { + for (k = 0; k < cols; ++k) { + //inp[i*cols + k] = i*cols + k; + inp[i*cols + k] = generate_rnd(); + out[i*cols + k] = 0.0; + } + } + + for (unsigned int direct_fft = 0; direct_fft < 1; direct_fft++) + { + for (unsigned int sym_per = 0; sym_per < 2; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 3; J++) + { + //J = 3; + + wt = wt2_init(obj,(char*) "dwt", rows,cols, J);// Initialize the wavelet transform object + if (sym_per == 0) + setDWT2Extension(wt, (char*) "sym");// Options are "per" and "sym". Symmetric is the default option + else + setDWT2Extension(wt, (char*) "per"); + + wavecoeffs = dwt2(wt, inp);// Perform DWT + + idwt2(wt, wavecoeffs, out);// Perform IDWT (if needed) + // Test Reconstruction + + if (direct_fft == 0) + epsilon = 1e-8; + else + epsilon = 1e-10; + //BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + + //printf("%g ",RMS_Error(out, inp, wt->siglength)); + if (RMS_Error(out, inp, N) > epsilon) { + printf("\n ERROR : DWT2 Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + wt2_free(wt); + free(wavecoeffs); + } + wave_free(obj); + delete[] name; + } + } + } + + free(inp); + free(out); +} + +void MODWTReconstructionTest() +{ + + wave_object obj; + wt_object wt; + double *inp,*out; + int N, i,J; + double epsilon = 1e-15; + double err; + + N = 79926; + + //N = 256; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = (rand() / (double)(RAND_MAX)); + } + std::vector waveletNames; + + for (unsigned int j = 0; j < 15; j++) + { + waveletNames.push_back(std::string("db") + patch::to_string(j + 1)); + } + for (unsigned int j = 0; j < 5; j++) + { + waveletNames.push_back(std::string("coif") + patch::to_string(j + 1)); + } + for (unsigned int j = 1; j < 10; j++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(j + 1)); + } + + + for (unsigned int direct_fft = 0; direct_fft < 1; direct_fft++) + { + for (unsigned int sym_per = 0; sym_per < 1; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 3; J++) + { + //J = 3; + + wt = wt_init(obj,(char*) "modwt", N, J);// Initialize the wavelet transform object + + if (direct_fft == 0) + setWTConv(wt, (char*) "direct"); + else + setWTConv(wt, (char*) "fft"); + + if (sym_per == 0) + setDWTExtension(wt, (char*) "per");// Options are "per" and "sym". Symmetric is the default option + else if (sym_per == 1 && direct_fft == 1) + setDWTExtension(wt, (char*) "sym"); + else break; + + modwt(wt, inp);// Perform DWT + + imodwt(wt, out);// Perform IDWT (if needed) + // Test Reconstruction + + if (direct_fft == 0) + epsilon = 1e-8; + else + epsilon = 1e-10; + //BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + + //printf("%g ",RMS_Error(out, inp, wt->siglength)); + err = RMS_Error(out, inp, wt->siglength); + //printf("%d %d %g \n",direct_fft,sym_per,err); + if (err > epsilon) { + printf("\n ERROR : DWT Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + wt_free(wt); + } + wave_free(obj); + delete[] name; + } + } + } + + free(out); + free(inp); +} + +void MODWT2ReconstructionTest() +{ + wave_object obj; + wt2_object wt; + int i, k, J, N, rows, cols; + double *inp, *wavecoeffs,*out; + double epsilon; + + rows = 1024; + cols = 1000; + + N = rows*cols; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + + std::vector waveletNames; + + for (unsigned int j = 0; j < 15; j++) + { + waveletNames.push_back(std::string("db") + patch::to_string(j + 1)); + } + for (unsigned int j = 0; j < 5; j++) + { + waveletNames.push_back(std::string("coif") + patch::to_string(j + 1)); + } + for (unsigned int j = 1; j < 10; j++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(j + 1)); + } + + + for (i = 0; i < rows; ++i) { + for (k = 0; k < cols; ++k) { + //inp[i*cols + k] = i*cols + k; + inp[i*cols + k] = generate_rnd(); + out[i*cols + k] = 0.0; + } + } + + for (unsigned int direct_fft = 0; direct_fft < 1; direct_fft++) + { + for (unsigned int sym_per = 0; sym_per < 1; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 3; J++) + { + //J = 3; + + wt = wt2_init(obj,(char*) "modwt", rows,cols, J);// Initialize the wavelet transform object + if (sym_per == 0) + setDWT2Extension(wt, (char*) "per");// Options are "per" + + wavecoeffs = modwt2(wt, inp);// Perform DWT + + imodwt2(wt, wavecoeffs, out);// Perform IDWT (if needed) + // Test Reconstruction + + if (direct_fft == 0) + epsilon = 1e-8; + else + epsilon = 1e-10; + //BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + + //printf("%g ",RMS_Error(out, inp, wt->siglength)); + if (RMS_Error(out, inp, N) > epsilon) { + printf("\n ERROR : MODWT2 Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + wt2_free(wt); + free(wavecoeffs); + } + wave_free(obj); + delete[] name; + } + } + } + + free(inp); + free(out); +} + +void SWTReconstructionTest() +{ + + wave_object obj; + wt_object wt; + double *inp,*out; + int N, i,J; + double epsilon = 1e-15; + double err; + + N = 4000; + + //N = 256; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = (rand() / (double)(RAND_MAX)); + } + std::vector waveletNames; + + for (unsigned int j = 0; j < 15; j++) + { + waveletNames.push_back(std::string("db") + patch::to_string(j + 1)); + } + for (unsigned int j = 0; j < 5; j++) + { + waveletNames.push_back(std::string("coif") + patch::to_string(j + 1)); + } + for (unsigned int j = 1; j < 10; j++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(j + 1)); + } + + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + + for (unsigned int direct_fft = 0; direct_fft < 2; direct_fft++) + { + for (unsigned int sym_per = 0; sym_per < 1; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 3; J++) + { + //J = 3; + + wt = wt_init(obj,(char*) "swt", N, J);// Initialize the wavelet transform object + + if (direct_fft == 0) + setWTConv(wt, (char*) "direct"); + else + setWTConv(wt, (char*) "fft"); + + if (sym_per == 0) + setDWTExtension(wt, (char*) "per");// Options are "per" and "sym". Symmetric is the default option + else if (sym_per == 1 && direct_fft == 1) + setDWTExtension(wt, (char*) "sym"); + else break; + + swt(wt, inp);// Perform DWT + + iswt(wt, out);// Perform IDWT (if needed) + // Test Reconstruction + + if (direct_fft == 0) + epsilon = 1e-8; + else + epsilon = 1e-10; + //BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + + //printf("%g ",RMS_Error(out, inp, wt->siglength)); + err = RMS_Error(out, inp, wt->siglength); + //printf("%d %d %g \n",direct_fft,sym_per,err); + if (err > epsilon) { + printf("\n ERROR : SWT Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + wt_free(wt); + } + wave_free(obj); + delete[] name; + } + } + } + + free(out); + free(inp); +} + +void SWT2ReconstructionTest() +{ + wave_object obj; + wt2_object wt; + int i, k, J, N, rows, cols; + double *inp, *wavecoeffs,*out; + double epsilon; + + rows = 1024; + cols = 1000; + + N = rows*cols; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + + std::vector waveletNames; + + for (unsigned int j = 0; j < 15; j++) + { + waveletNames.push_back(std::string("db") + patch::to_string(j + 1)); + } + for (unsigned int j = 0; j < 5; j++) + { + waveletNames.push_back(std::string("coif") + patch::to_string(j + 1)); + } + for (unsigned int j = 1; j < 10; j++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(j + 1)); + } + + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + + for (i = 0; i < rows; ++i) { + for (k = 0; k < cols; ++k) { + //inp[i*cols + k] = i*cols + k; + inp[i*cols + k] = generate_rnd(); + out[i*cols + k] = 0.0; + } + } + + for (unsigned int direct_fft = 0; direct_fft < 1; direct_fft++) + { + for (unsigned int sym_per = 0; sym_per < 1; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 3; J++) + { + //J = 3; + + wt = wt2_init(obj,(char*) "swt", rows,cols, J);// Initialize the wavelet transform object + if (sym_per == 0) + setDWT2Extension(wt, (char*) "per");// Options are "per" + + wavecoeffs = swt2(wt, inp);// Perform DWT + + iswt2(wt, wavecoeffs, out);// Perform IDWT (if needed) + // Test Reconstruction + + if (direct_fft == 0) + epsilon = 1e-8; + else + epsilon = 1e-10; + //BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + + //printf("%g ",RMS_Error(out, inp, wt->siglength)); + if (RMS_Error(out, inp, N) > epsilon) { + printf("\n ERROR : SWT2 Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + wt2_free(wt); + free(wavecoeffs); + } + wave_free(obj); + delete[] name; + } + } + } + + free(inp); + free(out); +} + +void DWPTReconstructionTest() +{ + + wave_object obj; + wpt_object wt; + double *inp,*out; + int N, i,J; + double epsilon = 1e-8; + + N = 79926; + + //N = 256; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = (rand() / (double)(RAND_MAX)); + } + std::vector waveletNames; + + for (unsigned int j = 0; j < 36; j++) + { + waveletNames.push_back(std::string("db") + patch::to_string(j + 1)); + } + for (unsigned int j = 0; j < 17; j++) + { + waveletNames.push_back(std::string("coif") + patch::to_string(j + 1)); + } + for (unsigned int j = 1; j < 20; j++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(j + 1)); + } + + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + + for (unsigned int ent = 0; ent < 2; ent++) + { + for (unsigned int sym_per = 0; sym_per < 2; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 3; J++) + { + //J = 3; + + wt = wpt_init(obj, N, J);// Initialize the wavelet transform object + if (sym_per == 0) + setDWPTExtension(wt, (char*) "sym");// Options are "per" and "sym". Symmetric is the default option + else + setDWPTExtension(wt, (char*) "per"); + + if (ent == 0) + setDWPTEntropy(wt, (char*) "shannon",0); + else + setDWPTEntropy(wt, (char*) "logenergy",0); + + dwpt(wt, inp);// Perform DWT + + idwpt(wt, out);// Perform IDWT (if needed) + // Test Reconstruction + + + //BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + + //printf("%s %g \n",name,RMS_Error(out, inp, wt->siglength)); + + if (RMS_Error(out, inp, wt->siglength) > epsilon) { + printf("\n ERROR : DWPT Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + wpt_free(wt); + } + wave_free(obj); + delete[] name; + } + } + } + + free(out); + free(inp); +} + +void CWTReconstructionTest() { + int i, N, J,subscale,a0; + double *inp,*oup; + double dt, dj,s0, pi,t; + double epsilon; + int it1,it2; + cwt_object wt; + + + char *wave[3]; + wave[0] = (char*) "morl"; + wave[1] =(char*) "paul"; + wave[2] = (char*) "dog"; + double param[30] = {4.5,5,5.5,6,6.5,8,10,13,17,20, + 4,5,7,8,10,12,13,14,17,20,2,4,6,8,10,12,14,16,18,20}; + char *type = (char*) "pow"; + + epsilon = 0.01; + N = 2048; + dt = 0.000125; + subscale = 20; + dj = 1.0 / (double) subscale; + s0 = dt/32; + J = 32 * subscale; + a0 = 2;//power + + + inp = (double*)malloc(sizeof(double)* N); + oup = (double*)malloc(sizeof(double)* N); + + pi = 4.0 * atan(1.0); + + + for (i = 0; i < N; ++i) { + t = dt * i; + inp[i] = sin(2 * pi * 500 * t) + sin(2 * pi * 1000 * t) + 0.1 * sin(2 * pi * 8 * t); + if (i == 1200 || i ==1232) { + inp[i] += 5.0; + } + } + + for(it1 = 0; it1 < 3;++it1) { + for(it2 = 0; it2 < 10;++it2) { + + wt = cwt_init(wave[it1], param[it1*10+it2], N,dt, J); + + setCWTScales(wt, s0, dj, type, a0); + + cwt(wt, inp); + + + icwt(wt, oup); + + + //printf("\nWavelet : %s Parameter %g Error %g \n", wave[it1],param[it1*10+it2],REL_Error(inp,oup, wt->siglength)); + if (REL_Error(inp,oup, wt->siglength) > epsilon) { + printf("\n ERROR : DWPT Reconstruction Unit Test Failed. Exiting. \n"); + exit(-1); + } + + cwt_free(wt); + } + } + + + + free(inp); + free(oup); + +} + + +void DBCoefTests() +{ + wave_object obj; + double epsilon = 1e-15; + double t1,t2,t3,t4,t5; + std::vector waveletNames; + waveletNames.resize(38); + for (unsigned int i = 0; i < waveletNames.size();i++) + { + waveletNames[i] = std::string("db") + patch::to_string(i+1); + } + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + t1 = sum1(obj->lpr, obj->lpr_len) - sqrt(2.0); + t2 = sum2(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t3 = sum3(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t4 = sum4(obj->lpr, obj->lpr_len) - 1.; + + if (fabs(t1) > epsilon || fabs(t2) > epsilon || fabs(t3) > epsilon || fabs(t4) > epsilon) { + printf("\n ERROR : DB Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + + for (int m = 1; m < (obj->lpr_len / 2) - 1;m++) { + t5 = sum5(obj->lpr, obj->lpr_len, m); + if (fabs(t5) > epsilon) { + printf("\n ERROR : DB Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + } + wave_free(obj); + delete[] name; + } +} + + +void CoifCoefTests() +{ + wave_object obj; + double epsilon = 1e-15; + double t1,t2,t3,t4,t5; + std::vector waveletNames; + waveletNames.resize(17); + for (unsigned int i = 0; i < waveletNames.size(); i++) + { + waveletNames[i] = std::string("coif") + patch::to_string(i + 1); + } + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + t1 = sum1(obj->lpr, obj->lpr_len) - sqrt(2.0); + t2 = sum2(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t3 = sum3(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t4 = sum4(obj->lpr, obj->lpr_len) - 1.; + + if (fabs(t1) > epsilon || fabs(t2) > epsilon || fabs(t3) > epsilon || fabs(t4) > epsilon) { + printf("\n ERROR : Coif Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + + for (int m = 1; m < (obj->lpr_len / 2) - 1;m++) { + t5 = sum5(obj->lpr, obj->lpr_len, m); + if (fabs(t5) > epsilon) { + printf("\n ERROR : Coif Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + } + wave_free(obj); + delete[] name; + } +} + +void SymCoefTests() +{ + wave_object obj; + double epsilon = 1e-10; + double t1,t2,t3,t4,t5; + std::vector waveletNames; + for (unsigned int i = 1; i < 20; i++) + { + waveletNames.push_back(std::string("sym") + patch::to_string(i + 1)); + } + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + t1 = sum1(obj->lpr, obj->lpr_len) - sqrt(2.0); + t2 = sum2(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t3 = sum3(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t4 = sum4(obj->lpr, obj->lpr_len) - 1.; + + if (fabs(t1) > epsilon || fabs(t2) > epsilon || fabs(t3) > epsilon || fabs(t4) > epsilon) { + printf("\n ERROR : Sym Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + + for (int m = 1; m < (obj->lpr_len / 2) - 1;m++) { + t5 = sum5(obj->lpr, obj->lpr_len, m); + if (fabs(t5) > epsilon) { + printf("\n ERROR : Sym Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + } + wave_free(obj); + delete[] name; + } +} + +void BiorCoefTests() +{ + wave_object obj; + double epsilon = 1e-10; + double t1,t2,t3,t4,t5,t6; + std::vector waveletNames; + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + + t1 = sum1(obj->lpr, obj->lpr_len) - sqrt(2.0); + t2 = sum1(obj->lpd, obj->lpd_len) - sqrt(2.0); + + t3 = sum2(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t4 = sum2(obj->lpd, obj->lpd_len) - 1. / sqrt(2.0); + + t5 = sum3(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t6 = sum3(obj->lpd, obj->lpd_len) - 1. / sqrt(2.0); + + if (fabs(t1) > epsilon || fabs(t2) > epsilon || fabs(t3) > epsilon || fabs(t4) > epsilon || fabs(t5) > epsilon || fabs(t6) > epsilon ) { + printf("\n ERROR : Bior Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + + + wave_free(obj); + delete[] name; + } +} + +void RBiorCoefTests() +{ + wave_object obj; + double epsilon = 1e-10; + double t1,t2,t3,t4,t5,t6; + std::vector waveletNames; + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + + t1 = sum1(obj->lpr, obj->lpr_len) - sqrt(2.0); + t2 = sum1(obj->lpd, obj->lpd_len) - sqrt(2.0); + + t3 = sum2(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t4 = sum2(obj->lpd, obj->lpd_len) - 1. / sqrt(2.0); + + t5 = sum3(obj->lpr, obj->lpr_len) - 1. / sqrt(2.0); + t6 = sum3(obj->lpd, obj->lpd_len) - 1. / sqrt(2.0); + + if (fabs(t1) > epsilon || fabs(t2) > epsilon || fabs(t3) > epsilon || fabs(t4) > epsilon || fabs(t5) > epsilon || fabs(t6) > epsilon ) { + printf("\n ERROR : RBior Coefficients Unit Test Failed. Exiting. \n"); + exit(-1); + } + wave_free(obj); + delete[] name; + } +} + +int main() { + printf("Running Unit Tests : \n \n"); + printf("Running DBCoefTests ... "); + DBCoefTests(); + printf("DONE \n"); + printf("Running CoifCoefTests ... "); + CoifCoefTests(); + printf("DONE \n"); + printf("Running SymCoefTests ... "); + SymCoefTests(); + printf("DONE \n"); + printf("Running BiorCoefTests ... "); + BiorCoefTests(); + printf("DONE \n"); + printf("Running RBiorCoefTests ... "); + RBiorCoefTests(); + printf("DONE \n"); + printf("Running DWT ReconstructionTests ... "); + DWTReconstructionTest(); + printf("DONE \n"); + printf("Running MODWT ReconstructionTests ... "); + MODWTReconstructionTest(); + printf("DONE \n"); + printf("Running SWT ReconstructionTests ... "); + SWTReconstructionTest(); + printf("DONE \n"); + printf("Running DWPT ReconstructionTests ... "); + DWPTReconstructionTest(); + printf("DONE \n"); + printf("Running CWT ReconstructionTests ... "); + CWTReconstructionTest(); + printf("DONE \n"); + printf("Running DWT2 ReconstructionTests ... "); + DWT2ReconstructionTest(); + printf("DONE \n"); + printf("Running MODWT2 ReconstructionTests ... "); + MODWT2ReconstructionTest(); + printf("DONE \n"); + printf("Running SWT2 ReconstructionTests ... "); + SWT2ReconstructionTest(); + printf("DONE \n"); + printf("\n\nUnit Tests Successful\n\n"); + return 0; + +} + diff --git a/dep/wavelib/wavelib-doc.pdf b/dep/wavelib/wavelib-doc.pdf new file mode 100644 index 0000000..2470781 Binary files /dev/null and b/dep/wavelib/wavelib-doc.pdf differ diff --git a/example/CMakeLists.txt b/example/CMakeLists.txt new file mode 100644 index 0000000..dc56351 --- /dev/null +++ b/example/CMakeLists.txt @@ -0,0 +1,29 @@ +# 设置可执行文件的输出地址 +set(EXECUTABLE_OUTPUT_PATH ${PROJECT_BINARY_DIR}/bin) + +macro(add_example name switch) + if(${switch}) + # 添加可执行程序名称 + add_executable(${name} ${name}.cpp) + + # 设置安装后的动态库调用地址 + set_target_properties(${name} PROPERTIES INSTALL_RPATH ${CMAKE_INSTALL_PREFIX}/lib) + set_target_properties(${name} PROPERTIES CXX_STANDARD 17 CXX_STANDARD_REQUIRED ON) + + # 链接动态库 + target_link_libraries(${name} PRIVATE ${GCTL_LIB}) + target_link_libraries(${name} PRIVATE ${GCTL_GRAPHIC_LIB}) + target_link_libraries(${name} PRIVATE gctl_mesh) + endif() +endmacro() + +add_example(mesh_ex1 ON) +add_example(mesh_ex2 ON) +add_example(mesh_ex3 ON) +add_example(mesh_ex4 ON) +add_example(mesh_ex5 ON) +add_example(mesh_ex6 ON) +add_example(mesh_ex7 ON) +add_example(mesh_ex8 ON) +add_example(mesh_ex9 ON) +add_example(mesh_ex10 ON) \ No newline at end of file diff --git a/example/mesh_ex1.cpp b/example/mesh_ex1.cpp new file mode 100644 index 0000000..5129bff --- /dev/null +++ b/example/mesh_ex1.cpp @@ -0,0 +1,57 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + gctl::regular_grid rgd; + rgd.init("grid-1", "null", 4, 4, 0.0, 0.0, 1.0, 1.0); + + gctl::meshdata *data = rgd.add_data("data-1", gctl::NodeData, true, 2.5); + gctl::meshdata *data2= rgd.add_data("data-2", gctl::ElemData, false, 1.2); + gctl::meshdata *data3= rgd.add_data("data-3", gctl::NodeData, true, gctl::Scalar); + + std::cout << "data name: " << data2->get_datname() << std::endl; + //gctl::array *data_ptr = (gctl::array*) rgd.get_datval(data2->get_name()); + gctl::array *data_ptr = (gctl::array*) data2->get_datval_ptr(); + for (int i = 0; i < data_ptr->size(); i++) + { + std::cout << data_ptr->at(i) << std::endl; + } + + std::cout << "data name: " << data3->get_datname() << std::endl; + gctl::array *data_ptr2 = (gctl::array*) rgd.get_datval(data3->get_datname()); + for (int i = 0; i < data_ptr2->size(); i++) + { + std::cout << data_ptr2->at(i) << std::endl; + } + + rgd.remove_data("data-1"); + + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex10.cpp b/example/mesh_ex10.cpp new file mode 100644 index 0000000..c02df14 --- /dev/null +++ b/example/mesh_ex10.cpp @@ -0,0 +1,37 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + gctl::regular_mesh_sph_3d rm_3ds; + rm_3ds.init("mesh-1", "null", 30.25, 30.25, 2005, 0.5, 0.5, 10, 40, 40, 50); + rm_3ds.add_data("data-1", gctl::ElemData, true, 2.5); + rm_3ds.save_gmsh("data/out/mesh_sample10", gctl::ElemData, gctl::OverWrite, gctl::NotPacked); + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex2.cpp b/example/mesh_ex2.cpp new file mode 100644 index 0000000..e613611 --- /dev/null +++ b/example/mesh_ex2.cpp @@ -0,0 +1,65 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + std::string dname = "example"; + std::string dname2= "another-example"; + + gctl::regular_grid rgd; + rgd.init("grid-1", "null", 15, 10, 0.0, 0.0, 1.0, 1.0); + rgd.add_data(dname, gctl::NodeData, true, gctl::Scalar); + + gctl::array *data_ptr = (gctl::array*) rgd.get_datval(dname); + for (int j = 0; j < rgd.get_ydim(); j++) + { + for (int i = 0; i < rgd.get_xdim(); i++) + { + data_ptr->at(i + j*rgd.get_xdim()) = i; + } + } + + rgd.add_data(dname2, gctl::NodeData, true, gctl::Scalar); + data_ptr = (gctl::array*) rgd.get_datval(dname2); + for (int j = 0; j < rgd.get_ydim(); j++) + { + for (int i = 0; i < rgd.get_xdim(); i++) + { + data_ptr->at(i + j*rgd.get_xdim()) = j; + } + } + + // disable the output of data object named dname2 + gctl::meshdata *data2 = rgd.get_data(dname2); + data2->set_output(false); + + rgd.save_netcdf_grid("data/out/sample2-out", gctl::NodeData); + + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex3.cpp b/example/mesh_ex3.cpp new file mode 100644 index 0000000..83c64ca --- /dev/null +++ b/example/mesh_ex3.cpp @@ -0,0 +1,88 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + try + { + std::string dname = "example"; + std::string dname2= "another-example"; + + gctl::regular_grid rgd; + rgd.init("grid-1", "this is a test message.", 15, 10, 0.0, 0.0, 1.0, 1.0); + rgd.add_data(dname, gctl::NodeData, true, gctl::Scalar); + + gctl::array *data_ptr = (gctl::array*) rgd.get_datval(dname); + for (int j = 0; j < rgd.get_ydim(); j++) + { + for (int i = 0; i < rgd.get_xdim(); i++) + { + data_ptr->at(i + j*rgd.get_xdim()) = i; + } + } + + rgd.add_data(dname2, gctl::ElemData, true, gctl::Scalar); + data_ptr = (gctl::array*) rgd.get_datval(dname2); + for (int j = 0; j < rgd.get_ydim()-1; j++) + { + for (int i = 0; i < rgd.get_xdim()-1; i++) + { + data_ptr->at(i + j*(rgd.get_xdim()-1)) = j; + } + } + + rgd.save_binary("data/out/sample3-out"); + rgd.save_netcdf_grid("data/out/sample3-out1", dname); + rgd.save_netcdf_grid("data/out/sample3-out2", dname2); + + gctl::regular_grid rgd2; + rgd2.load_binary("data/out/sample3-out"); + + rgd2.show_info(); + + data_ptr = (gctl::array*) rgd2.get_datval(dname); + for (int i = 0; i < data_ptr->size(); i++) + { + std::cout << data_ptr->at(i) << " "; + } + std::cout << std::endl; + + data_ptr = (gctl::array*) rgd2.get_datval(dname2); + for (int i = 0; i < data_ptr->size(); i++) + { + std::cout << data_ptr->at(i) << " "; + } + std::cout << std::endl; + } + catch(std::exception &e) + { + GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0); + } + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex4.cpp b/example/mesh_ex4.cpp new file mode 100644 index 0000000..c438760 --- /dev/null +++ b/example/mesh_ex4.cpp @@ -0,0 +1,63 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + try + { + std::string dname = "vector-data"; + + gctl::regular_grid rgd; + rgd.init("grid-example", "this grid can store vectors. Yeah!", 15, 10, 0.0, 0.0, 1.0, 1.0); + rgd.add_data(dname, gctl::NodeData, true, gctl::Vector); + + gctl::array *data_ptr = (gctl::array*) rgd.get_datval(dname); + for (int j = 0; j < rgd.get_ydim(); j++) + { + for (int i = 0; i < rgd.get_xdim(); i++) + { + data_ptr->at(i + j*rgd.get_xdim()).x = i; + data_ptr->at(i + j*rgd.get_xdim()).y = j; + data_ptr->at(i + j*rgd.get_xdim()).z = i+j; + } + } + + rgd.save_binary("data/out/sample4-out"); + + gctl::regular_grid rgd2; + rgd2.load_binary("data/out/sample4-out"); + + rgd2.show_info(); + } + catch(std::exception &e) + { + GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0); + } + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex5.cpp b/example/mesh_ex5.cpp new file mode 100644 index 0000000..d4584e8 --- /dev/null +++ b/example/mesh_ex5.cpp @@ -0,0 +1,46 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + try + { + gctl::regular_grid rgd; + rgd.load_netcdf_grid("data/out/sample3-out1", gctl::ElemData, "x", "y"); + + rgd.show_info(); + + rgd.save_netcdf_grid("data/out/sample5-out", "example"); + } + catch(std::exception &e) + { + GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0); + } + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex6.cpp b/example/mesh_ex6.cpp new file mode 100644 index 0000000..a3bf568 --- /dev/null +++ b/example/mesh_ex6.cpp @@ -0,0 +1,72 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + try + { + gctl::regular_mesh_2d rg_mesh; + rg_mesh.init("mesh-example", "this mesh can store vectors. Yeah!", 15, 10, 0.5, 0.5, 1.0, 1.0); + + int ybnum = rg_mesh.get_ybnum(); + int xbnum = rg_mesh.get_xbnum(); + + rg_mesh.add_data("vector-data", gctl::ElemData, true, gctl::Vector); + gctl::array *data_ptr = (gctl::array*) rg_mesh.get_datval("vector-data"); + for (int j = 0; j < ybnum; j++) + { + for (int i = 0; i < xbnum; i++) + { + data_ptr->at(i + j*xbnum).x = i; + data_ptr->at(i + j*xbnum).y = j; + data_ptr->at(i + j*xbnum).z = i+j; + } + } + + rg_mesh.add_data("double-data", gctl::NodeData, true, gctl::Scalar); + gctl::array *data_ptr2 = (gctl::array*) rg_mesh.get_datval("double-data"); + for (int j = 0; j < ybnum+1; j++) + { + for (int i = 0; i < xbnum+1; i++) + { + data_ptr2->at(i + j*(xbnum+1)) = i+j; + } + } + + //rg_mesh.save_gmsh("data/sample6-out", "vector-data"); + //rg_mesh.save_gmsh("data/sample6-out", "double-data", Append); + + rg_mesh.save_gmsh("data/out/sample6-out", gctl::ElemData, gctl::OverWrite); + } + catch(std::exception &e) + { + GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0); + } + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex7.cpp b/example/mesh_ex7.cpp new file mode 100644 index 0000000..095de7b --- /dev/null +++ b/example/mesh_ex7.cpp @@ -0,0 +1,61 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + try + { + gctl::regular_mesh_3d rg_mesh; + rg_mesh.init("mesh-example", "this mesh can store vectors. Yeah!", 15, 10, 10, 0.5, 0.5, 0.5, 1.0, 1.0, 1.0); + + int ybnum = rg_mesh.get_ybnum(); + int xbnum = rg_mesh.get_xbnum(); + int zbnum = rg_mesh.get_zbnum(); + + rg_mesh.add_data("double-data", gctl::NodeData, gctl::Packed, gctl::Scalar); + gctl::array *data_ptr = (gctl::array*) rg_mesh.get_datval("double-data"); + for (int k = 0; k < zbnum+1; k++) + { + for (int j = 0; j < ybnum+1; j++) + { + for (int i = 0; i < xbnum+1; i++) + { + data_ptr->at(i + j*(xbnum+1) + k*(xbnum+1)*(ybnum+1)) = i+j+k; + } + } + } + + rg_mesh.save_gmsh("data/out/sample7-out", "double-data", gctl::OverWrite); + } + catch(std::exception &e) + { + GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0); + } + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex8.cpp b/example/mesh_ex8.cpp new file mode 100644 index 0000000..6bcf468 --- /dev/null +++ b/example/mesh_ex8.cpp @@ -0,0 +1,50 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + try + { + gctl::triangle_mesh t_mesh; + t_mesh.load_triangle("data/out/sample8", gctl::Packed); + t_mesh.add_data("example", gctl::ElemData, gctl::Packed, 1.0); + + t_mesh.save_gmsh("data/out/sample8-out", "example", gctl::OverWrite, gctl::NotPacked); + t_mesh.save_binary("data/out/sample8-out"); + + gctl::triangle_mesh t2_mesh; + t2_mesh.load_binary("data/out/sample8-out"); + t2_mesh.show_info(); + } + catch(std::exception &e) + { + GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0); + } + return 0; +} \ No newline at end of file diff --git a/example/mesh_ex9.cpp b/example/mesh_ex9.cpp new file mode 100644 index 0000000..5305301 --- /dev/null +++ b/example/mesh_ex9.cpp @@ -0,0 +1,69 @@ +/******************************************************** + * ██████╗ ██████╗████████╗██╗ + * ██╔════╝ ██╔════╝╚══██╔══╝██║ + * ██║ ███╗██║ ██║ ██║ + * ██║ ██║██║ ██║ ██║ + * ╚██████╔╝╚██████╗ ██║ ███████╗ + * ╚═════╝ ╚═════╝ ╚═╝ ╚══════╝ + * Geophysical Computational Tools & Library (GCTL) + * + * Copyright (c) 2022 Yi Zhang (yizhang-geo@zju.edu.cn) + * + * GCTL is distributed under a dual licensing scheme. You can redistribute + * it and/or modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation, either version 2 + * of the License, or (at your option) any later version. You should have + * received a copy of the GNU Lesser General Public License along with this + * program. If not, see . + * + * If the terms and conditions of the LGPL v.2. would prevent you from using + * the GCTL, please consider the option to obtain a commercial license for a + * fee. These licenses are offered by the GCTL's original author. As a rule, + * licenses are provided "as-is", unlimited in time for a one time fee. Please + * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget + * to include some description of your company and the realm of its activities. + * Also add information on how to contact you by electronic and paper mail. + ******************************************************/ + +#include "../lib/mesh.h" + +int main(int argc, char *argv[]) +{ + try + { + gctl::array xs(15); + for (int i = 0; i < 15; i++) + { + xs[i] = i+1; + } + + gctl::array ys(10); + for (int i = 0; i < 10; i++) + { + ys[i] = i+1; + } + + gctl::linear_mesh_2d l2d_mesh; + l2d_mesh.init("mesh-example", "This is a linear mesh", 0.5, 0.5, xs, ys); + + int ybnum = l2d_mesh.get_ybnum(); + int xbnum = l2d_mesh.get_xbnum(); + + l2d_mesh.add_data("double-data", gctl::ElemData, gctl::Packed, gctl::Scalar); + gctl::array *data_ptr2 = (gctl::array*) l2d_mesh.get_datval("double-data"); + for (int j = 0; j < ybnum; j++) + { + for (int i = 0; i < xbnum; i++) + { + data_ptr2->at(i + j*xbnum) = i+j; + } + } + + l2d_mesh.save_gmsh("data/out/sample9-out", gctl::ElemData, gctl::OverWrite, gctl::NotPacked); + } + catch(std::exception &e) + { + GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0); + } + return 0; +} \ No newline at end of file diff --git a/installer b/installer new file mode 100755 index 0000000..8db28ef --- /dev/null +++ b/installer @@ -0,0 +1,54 @@ +#!/bin/bash + +if [[ $# == 0 || ${1} == "help" ]]; then + echo "Compiles executables/libraries and maintains installed files. Two tools 'Cmake' and 'stow' are empolyed here. For more information, see https://cmake.org and https://www.gnu.org/software/stow/." + echo "" + echo "School of Earth Sciences, Zhejiang University" + echo "Yi Zhang (yizhang-geo@zju.edu.cn)" + echo "" + echo "Usage: ./config.sh [option] [Cmake options]" + echo "" + echo "Options:" + echo "(1) configure: Configure Cmake project(s). This option could take extra Cmake options as in