From fb7b81711fac1a86777deb1561d25af53aab431a Mon Sep 17 00:00:00 2001 From: Hongjian Fang Date: Tue, 29 Mar 2016 15:48:02 +0200 Subject: [PATCH] Initial commit change 1e-2 to 'ftol' in CalSurfG.f90, which may cause problem with small study region (~2 km) --- doc/ManualDSurfTomo.pdf | Bin 0 -> 97598 bytes example/.gmtcommands4 | 10 + example/.gmtdefaults4 | 107 + example/DSurfTomo.in | 21 + example/DSurfTomo.in.log | 1 + example/DSurfTomo.inMeasure.dat | 2048 + example/IterVel.out | 256 + example/MOD | 163 + example/MOD.true | 162 + example/Vs_model.real | 2048 + example/horizVs.eps | 1620 + example/horizVs.pdf | Bin 0 -> 18667 bytes example/horizVs.ps | 1626 + example/horizVsnewrerun.ps | 1619 + example/lsmr.txt | 8 + example/plotslicenewVs.gmt | 49 + example/raypath.out | 143212 ++++++++++++++++++ example/residualFirst.dat | 2061 + example/residualLast.dat | 2061 + example/surfdataTB.dat | 2510 + scripts/GenerateIniMOD.py | 32 + scripts/GenerateTrueMOD.py | 42 + scripts/extractnew.py | 93 + scripts/plotslice.gmt | 48 + srcsmooth/CalSurfG.f90 | 2835 + srcsmooth/DSurfTomo | Bin 0 -> 294584 bytes srcsmooth/Makefile | 20 + {src => srcsmooth}/aprod.f90 | 0 {src => srcsmooth}/delsph.f90 | 0 {src => srcsmooth}/gaussian.f90 | 0 {src => srcsmooth}/lsmrDataModule.f90 | 0 {src => srcsmooth}/lsmrModule.f90 | 0 {src => srcsmooth}/lsmrblas.f90 | 0 {src => srcsmooth}/lsmrblasInterface.f90 | 0 src/mainold.f90 => srcsmooth/main.f90 | 168 +- {src => srcsmooth}/surfdisp96.f | 0 {src => srcsparsity}/CalSurfG.f90 | 2 +- {src => srcsparsity}/Makefile | 0 srcsparsity/aprod.f90 | 60 + srcsparsity/delsph.f90 | 28 + {src => srcsparsity}/forwardstep.f90 | 0 {src => srcsparsity}/forwardtrans.f90 | 0 srcsparsity/gaussian.f90 | 31 + {src => srcsparsity}/haar.f90 | 0 {src => srcsparsity}/inversestep.f90 | 0 {src => srcsparsity}/inversetrans.f90 | 0 {src => srcsparsity}/invtrans3d.f90 | 0 srcsparsity/lsmrDataModule.f90 | 24 + srcsparsity/lsmrModule.f90 | 754 + srcsparsity/lsmrblas.f90 | 360 + srcsparsity/lsmrblasInterface.f90 | 41 + {src => srcsparsity}/main.f90 | 0 {src => srcsparsity}/merge1.f90 | 0 {src => srcsparsity}/split.f90 | 0 srcsparsity/surfdisp96.f | 1062 + {src => srcsparsity}/waveletD8.f90 | 0 {src => srcsparsity}/wavelettrans3domp.f90 | 0 57 files changed, 165030 insertions(+), 152 deletions(-) create mode 100644 doc/ManualDSurfTomo.pdf create mode 100644 example/.gmtcommands4 create mode 100644 example/.gmtdefaults4 create mode 100644 example/DSurfTomo.in create mode 100644 example/DSurfTomo.in.log create mode 100644 example/DSurfTomo.inMeasure.dat create mode 100644 example/IterVel.out create mode 100644 example/MOD create mode 100644 example/MOD.true create mode 100644 example/Vs_model.real create mode 100644 example/horizVs.eps create mode 100644 example/horizVs.pdf create mode 100644 example/horizVs.ps create mode 100644 example/horizVsnewrerun.ps create mode 100644 example/lsmr.txt create mode 100644 example/plotslicenewVs.gmt create mode 100644 example/raypath.out create mode 100644 example/residualFirst.dat create mode 100644 example/residualLast.dat create mode 100644 example/surfdataTB.dat create mode 100644 scripts/GenerateIniMOD.py create mode 100644 scripts/GenerateTrueMOD.py create mode 100644 scripts/extractnew.py create mode 100644 scripts/plotslice.gmt create mode 100644 srcsmooth/CalSurfG.f90 create mode 100755 srcsmooth/DSurfTomo create mode 100644 srcsmooth/Makefile rename {src => srcsmooth}/aprod.f90 (100%) rename {src => srcsmooth}/delsph.f90 (100%) rename {src => srcsmooth}/gaussian.f90 (100%) rename {src => srcsmooth}/lsmrDataModule.f90 (100%) rename {src => srcsmooth}/lsmrModule.f90 (100%) rename {src => srcsmooth}/lsmrblas.f90 (100%) rename {src => srcsmooth}/lsmrblasInterface.f90 (100%) rename src/mainold.f90 => srcsmooth/main.f90 (83%) rename {src => srcsmooth}/surfdisp96.f (100%) rename {src => srcsparsity}/CalSurfG.f90 (99%) rename {src => srcsparsity}/Makefile (100%) create mode 100644 srcsparsity/aprod.f90 create mode 100644 srcsparsity/delsph.f90 rename {src => srcsparsity}/forwardstep.f90 (100%) rename {src => srcsparsity}/forwardtrans.f90 (100%) create mode 100644 srcsparsity/gaussian.f90 rename {src => srcsparsity}/haar.f90 (100%) rename {src => srcsparsity}/inversestep.f90 (100%) rename {src => srcsparsity}/inversetrans.f90 (100%) rename {src => srcsparsity}/invtrans3d.f90 (100%) create mode 100644 srcsparsity/lsmrDataModule.f90 create mode 100644 srcsparsity/lsmrModule.f90 create mode 100644 srcsparsity/lsmrblas.f90 create mode 100644 srcsparsity/lsmrblasInterface.f90 rename {src => srcsparsity}/main.f90 (100%) rename {src => srcsparsity}/merge1.f90 (100%) rename {src => srcsparsity}/split.f90 (100%) create mode 100644 srcsparsity/surfdisp96.f rename {src => srcsparsity}/waveletD8.f90 (100%) rename {src => srcsparsity}/wavelettrans3domp.f90 (100%) diff --git a/doc/ManualDSurfTomo.pdf b/doc/ManualDSurfTomo.pdf new file mode 100644 index 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d)PG>4Hnxbn;~zH!D43m%6`PJuSVjc<{{Z6%QR4sr literal 0 HcmV?d00001 diff --git a/example/.gmtcommands4 b/example/.gmtcommands4 new file mode 100644 index 0000000..e3d01fa --- /dev/null +++ b/example/.gmtcommands4 @@ -0,0 +1,10 @@ +# GMT common arguments shelf +-Ba0.2f0.1:S velocity (km/s): +-JM2i +-R121.35/121.605/24.975/25.2 +-x2.3i +-Y5i +-y-2.7i +-jM2i +EOF + diff --git a/example/.gmtdefaults4 b/example/.gmtdefaults4 new file mode 100644 index 0000000..d394871 --- /dev/null +++ b/example/.gmtdefaults4 @@ -0,0 +1,107 @@ +# +# GMT-SYSTEM 4.5.11 [64-bit] Defaults file +# +#-------- Plot Media Parameters ------------- +PAGE_COLOR = white +PAGE_ORIENTATION = landscape +PAPER_MEDIA = a4 +#-------- Basemap Annotation Parameters ------ +ANNOT_MIN_ANGLE = 20 +ANNOT_MIN_SPACING = 0 +ANNOT_FONT_PRIMARY = Helvetica +ANNOT_FONT_SIZE_PRIMARY = 6p +ANNOT_OFFSET_PRIMARY = 0.2c +ANNOT_FONT_SECONDARY = Helvetica +ANNOT_FONT_SIZE_SECONDARY = 16p +ANNOT_OFFSET_SECONDARY = 0.2c +DEGREE_SYMBOL = ring +HEADER_FONT = Helvetica +HEADER_FONT_SIZE = 36p +HEADER_OFFSET = 0.5c +LABEL_FONT = Helvetica +LABEL_FONT_SIZE = 5p +LABEL_OFFSET = 0.1c +OBLIQUE_ANNOTATION = 1 +PLOT_CLOCK_FORMAT = hh:mm:ss +PLOT_DATE_FORMAT = yyyy-mm-dd +PLOT_DEGREE_FORMAT = ddd:mm:ss +Y_AXIS_TYPE = hor_text +#-------- Basemap Layout Parameters --------- +BASEMAP_AXES = WESN +BASEMAP_FRAME_RGB = black +BASEMAP_TYPE = fancy +FRAME_PEN = 1.25p +FRAME_WIDTH = 0.1c +GRID_CROSS_SIZE_PRIMARY = 0c +GRID_PEN_PRIMARY = 0.25p +GRID_CROSS_SIZE_SECONDARY = 0c +GRID_PEN_SECONDARY = 0.5p +MAP_SCALE_HEIGHT = 0.2c +POLAR_CAP = 85/90 +TICK_LENGTH = 0.1c +TICK_PEN = 0.3p +X_AXIS_LENGTH = 25c +Y_AXIS_LENGTH = 15c +X_ORIGIN = 2.5c +Y_ORIGIN = 2.5c +UNIX_TIME = FALSE +UNIX_TIME_POS = BL/-2c/-2c +UNIX_TIME_FORMAT = %Y %b %d %H:%M:%S +#-------- Color System Parameters ----------- +COLOR_BACKGROUND = black +COLOR_FOREGROUND = white +COLOR_NAN = 128 +COLOR_IMAGE = adobe +COLOR_MODEL = rgb +HSV_MIN_SATURATION = 1 +HSV_MAX_SATURATION = 0.1 +HSV_MIN_VALUE = 0.3 +HSV_MAX_VALUE = 1 +#-------- PostScript Parameters ------------- +CHAR_ENCODING = ISOLatin1+ +DOTS_PR_INCH = 300 +GLOBAL_X_SCALE = 1 +GLOBAL_Y_SCALE = 1 +N_COPIES = 1 +PS_COLOR = rgb +PS_IMAGE_COMPRESS = lzw +PS_IMAGE_FORMAT = ascii +PS_LINE_CAP = butt +PS_LINE_JOIN = miter +PS_MITER_LIMIT = 35 +PS_VERBOSE = FALSE +TRANSPARENCY = 0 +#-------- I/O Format Parameters ------------- +D_FORMAT = %.12lg +FIELD_DELIMITER = tab +GRIDFILE_FORMAT = nf +GRIDFILE_SHORTHAND = FALSE +INPUT_CLOCK_FORMAT = hh:mm:ss +INPUT_DATE_FORMAT = yyyy-mm-dd +IO_HEADER = FALSE +N_HEADER_RECS = 1 +NAN_RECORDS = pass +OUTPUT_CLOCK_FORMAT = hh:mm:ss +OUTPUT_DATE_FORMAT = yyyy-mm-dd +OUTPUT_DEGREE_FORMAT = D +XY_TOGGLE = FALSE +#-------- Projection Parameters ------------- +ELLIPSOID = WGS-84 +MAP_SCALE_FACTOR = default +MEASURE_UNIT = cm +#-------- Calendar/Time Parameters ---------- +TIME_FORMAT_PRIMARY = full +TIME_FORMAT_SECONDARY = full +TIME_EPOCH = 2000-01-01T12:00:00 +TIME_IS_INTERVAL = OFF +TIME_INTERVAL_FRACTION = 0.5 +TIME_LANGUAGE = us +TIME_UNIT = d +TIME_WEEK_START = Sunday +Y2K_OFFSET_YEAR = 1950 +#-------- Miscellaneous Parameters ---------- +HISTORY = TRUE +INTERPOLANT = akima +LINE_STEP = 0.025c +VECTOR_SHAPE = 0 +VERBOSE = FALSE diff --git a/example/DSurfTomo.in b/example/DSurfTomo.in new file mode 100644 index 0000000..d9c403a --- /dev/null +++ b/example/DSurfTomo.in @@ -0,0 +1,21 @@ +cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc +c INPUT PARAMETERS +cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc +surfdataTB.dat c: data file +18 18 9 c: nx ny nz (grid number in lat lon and depth direction) +25.2 121.35 c: goxd gozd (upper left point,[lat,lon]) +0.015 0.017 c: dvxd dvzd (grid interval in lat and lon direction) +449 c: nsrc*maxf +4.0 0.0 c: weight damp +0.1 c: minthk (about 1/3 of grid interval in vertical direction) +0.5 2.8 c: minimum velocity, maximum velocity +10 c: maxiter (iteration number) +0.2 c: sparsity fraction +26 c: kmaxRc (followed by periods) +0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 +0 c: kmaxRg +0 c: kmaxLc +0 c: kmaxLg +0 c: synthetic flag(0:real data,1:synthetic) +0.02 c: noiselevel +2.5 c: threshold diff --git a/example/DSurfTomo.in.log b/example/DSurfTomo.in.log new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/example/DSurfTomo.in.log @@ -0,0 +1 @@ + diff --git a/example/DSurfTomo.inMeasure.dat b/example/DSurfTomo.inMeasure.dat new file mode 100644 index 0000000..e82be9c --- /dev/null +++ b/example/DSurfTomo.inMeasure.dat @@ -0,0 +1,2048 @@ +121.3500 25.2000 0.0000 0.9000 +121.3500 25.1850 0.0000 0.9000 +121.3500 25.1700 0.0000 0.9000 +121.3500 25.1550 0.0000 0.9000 +121.3500 25.1400 0.0000 0.9000 +121.3500 25.1250 0.0000 0.9000 +121.3500 25.1100 0.0000 0.9000 +121.3500 25.0950 0.0000 0.9000 +121.3500 25.0800 0.0000 0.9000 +121.3500 25.0650 0.0000 0.9000 +121.3500 25.0500 0.0000 0.9000 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+121.5880 25.0500 1.8000 2.0703 +121.5880 25.0350 1.8000 2.0781 +121.5880 25.0200 1.8000 2.1449 +121.5880 25.0050 1.8000 2.2343 +121.5880 24.9900 1.8000 2.2268 +121.5880 24.9750 1.8000 2.0375 +121.6050 25.2000 1.8000 1.9800 +121.6050 25.1850 1.8000 1.9800 +121.6050 25.1700 1.8000 1.9773 +121.6050 25.1550 1.8000 1.9742 +121.6050 25.1400 1.8000 1.9725 +121.6050 25.1250 1.8000 1.9726 +121.6050 25.1100 1.8000 1.9733 +121.6050 25.0950 1.8000 1.9758 +121.6050 25.0800 1.8000 1.9915 +121.6050 25.0650 1.8000 2.0035 +121.6050 25.0500 1.8000 2.0026 +121.6050 25.0350 1.8000 2.0073 +121.6050 25.0200 1.8000 2.0131 +121.6050 25.0050 1.8000 2.0166 +121.6050 24.9900 1.8000 2.0087 +121.6050 24.9750 1.8000 1.9925 diff --git a/example/IterVel.out b/example/IterVel.out new file mode 100644 index 0000000..a644275 --- /dev/null +++ b/example/IterVel.out @@ -0,0 +1,256 @@ + ,OUTPUT S VELOCITY AT ITERATION 1 + 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 + 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 + 0.900 0.900 0.899 0.899 0.899 0.900 0.901 0.901 0.901 0.901 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 + 0.900 0.900 0.899 0.899 0.899 0.901 0.903 0.903 0.902 0.900 0.899 0.899 0.900 0.903 0.899 0.899 0.900 0.900 + 0.900 0.900 0.899 0.899 0.901 0.904 0.907 0.907 0.903 0.899 0.896 0.897 0.903 0.903 0.892 0.896 0.900 0.900 + 0.900 0.900 0.900 0.900 0.903 0.911 0.923 0.921 0.911 0.901 0.892 0.895 0.905 0.897 0.887 0.893 0.900 0.900 + 0.900 0.900 0.900 0.900 0.904 0.914 0.918 0.918 0.909 0.883 0.867 0.882 0.895 0.890 0.887 0.892 0.900 0.900 + 0.900 0.900 0.899 0.898 0.901 0.904 0.895 0.890 0.884 0.859 0.853 0.874 0.882 0.890 0.891 0.895 0.900 0.900 + 0.900 0.900 0.898 0.895 0.882 0.873 0.872 0.871 0.880 0.872 0.873 0.898 0.893 0.885 0.891 0.899 0.900 0.900 + 0.900 0.900 0.898 0.894 0.881 0.884 0.890 0.905 0.917 0.910 0.901 0.906 0.892 0.875 0.895 0.901 0.900 0.900 + 0.900 0.900 0.899 0.899 0.901 0.919 0.921 0.932 0.952 0.942 0.927 0.914 0.902 0.891 0.902 0.905 0.900 0.900 + 0.900 0.900 0.900 0.901 0.906 0.921 0.920 0.919 0.932 0.934 0.932 0.914 0.912 0.915 0.918 0.909 0.900 0.900 + 0.900 0.900 0.899 0.900 0.903 0.909 0.914 0.916 0.918 0.923 0.906 0.898 0.908 0.917 0.926 0.913 0.900 0.900 + 0.900 0.900 0.899 0.899 0.901 0.904 0.909 0.919 0.930 0.917 0.899 0.909 0.918 0.923 0.929 0.914 0.900 0.900 + 0.900 0.900 0.898 0.897 0.898 0.900 0.903 0.911 0.915 0.908 0.905 0.909 0.915 0.920 0.923 0.910 0.900 0.900 + 0.900 0.900 0.899 0.898 0.898 0.899 0.900 0.901 0.902 0.902 0.902 0.903 0.905 0.907 0.907 0.904 0.900 0.900 + 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 + 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 0.900 + 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 + 1.020 1.020 1.019 1.019 1.019 1.020 1.021 1.021 1.021 1.021 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 + 1.020 1.019 1.019 1.021 1.025 1.030 1.034 1.033 1.027 1.019 1.013 1.009 1.007 1.006 1.006 1.012 1.020 1.020 + 1.020 1.019 1.021 1.025 1.034 1.045 1.051 1.048 1.035 1.017 1.003 0.996 0.994 0.993 0.992 1.002 1.019 1.020 + 1.020 1.019 1.023 1.031 1.045 1.062 1.074 1.067 1.043 1.013 0.990 0.982 0.982 0.979 0.977 0.993 1.017 1.020 + 1.020 1.020 1.024 1.034 1.052 1.077 1.093 1.081 1.044 0.999 0.968 0.963 0.969 0.966 0.966 0.987 1.015 1.020 + 1.020 1.020 1.023 1.031 1.047 1.068 1.075 1.058 1.017 0.962 0.929 0.935 0.951 0.957 0.968 0.989 1.014 1.020 + 1.020 1.019 1.019 1.021 1.028 1.035 1.028 1.010 0.979 0.935 0.916 0.933 0.950 0.965 0.981 1.000 1.016 1.020 + 1.020 1.018 1.016 1.013 1.007 1.007 1.006 1.004 0.998 0.976 0.966 0.979 0.981 0.984 0.999 1.013 1.018 1.020 + 1.020 1.018 1.019 1.021 1.023 1.040 1.059 1.079 1.090 1.074 1.050 1.038 1.020 1.011 1.026 1.030 1.020 1.020 + 1.020 1.019 1.027 1.041 1.066 1.104 1.132 1.158 1.176 1.159 1.123 1.090 1.067 1.058 1.064 1.052 1.024 1.020 + 1.020 1.020 1.031 1.051 1.084 1.125 1.152 1.170 1.184 1.173 1.144 1.113 1.105 1.109 1.107 1.076 1.028 1.020 + 1.020 1.019 1.029 1.046 1.073 1.105 1.131 1.147 1.156 1.146 1.118 1.106 1.118 1.136 1.134 1.092 1.031 1.020 + 1.020 1.019 1.024 1.034 1.053 1.076 1.099 1.119 1.130 1.116 1.096 1.103 1.125 1.144 1.140 1.095 1.032 1.020 + 1.020 1.018 1.019 1.024 1.035 1.049 1.066 1.083 1.091 1.085 1.079 1.089 1.109 1.123 1.117 1.080 1.029 1.020 + 1.020 1.019 1.018 1.019 1.024 1.031 1.039 1.048 1.052 1.052 1.052 1.059 1.069 1.076 1.072 1.052 1.024 1.020 + 1.020 1.020 1.019 1.018 1.018 1.019 1.020 1.021 1.022 1.022 1.022 1.023 1.025 1.027 1.027 1.024 1.020 1.020 + 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 1.020 + 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 + 1.140 1.140 1.139 1.138 1.139 1.140 1.142 1.143 1.142 1.141 1.140 1.140 1.140 1.140 1.139 1.139 1.140 1.140 + 1.140 1.139 1.139 1.143 1.150 1.158 1.164 1.161 1.151 1.137 1.125 1.116 1.111 1.109 1.112 1.123 1.139 1.140 + 1.140 1.138 1.142 1.150 1.165 1.183 1.194 1.187 1.163 1.133 1.107 1.092 1.084 1.080 1.084 1.106 1.137 1.140 + 1.140 1.138 1.146 1.159 1.183 1.213 1.232 1.220 1.178 1.127 1.088 1.070 1.063 1.055 1.059 1.091 1.134 1.140 + 1.140 1.139 1.147 1.164 1.195 1.237 1.264 1.243 1.181 1.109 1.060 1.046 1.044 1.037 1.048 1.086 1.132 1.140 + 1.140 1.139 1.145 1.159 1.187 1.222 1.235 1.204 1.138 1.062 1.017 1.018 1.028 1.037 1.060 1.095 1.134 1.140 + 1.140 1.138 1.139 1.145 1.158 1.171 1.161 1.127 1.080 1.028 1.007 1.022 1.040 1.061 1.089 1.116 1.137 1.140 + 1.140 1.137 1.136 1.136 1.136 1.140 1.135 1.123 1.112 1.090 1.080 1.090 1.092 1.102 1.124 1.138 1.140 1.140 + 1.140 1.137 1.143 1.153 1.169 1.200 1.224 1.244 1.254 1.230 1.198 1.177 1.156 1.152 1.168 1.166 1.143 1.140 + 1.140 1.139 1.156 1.185 1.234 1.297 1.339 1.368 1.381 1.350 1.295 1.249 1.223 1.222 1.227 1.201 1.149 1.140 + 1.140 1.140 1.162 1.198 1.256 1.324 1.365 1.383 1.391 1.368 1.318 1.277 1.275 1.291 1.289 1.236 1.155 1.140 + 1.140 1.139 1.157 1.187 1.233 1.286 1.323 1.338 1.342 1.325 1.282 1.269 1.298 1.331 1.328 1.260 1.159 1.140 + 1.140 1.138 1.147 1.166 1.197 1.234 1.265 1.285 1.295 1.280 1.254 1.267 1.309 1.343 1.336 1.263 1.161 1.140 + 1.140 1.136 1.140 1.149 1.166 1.189 1.212 1.231 1.242 1.238 1.231 1.250 1.284 1.308 1.298 1.238 1.156 1.140 + 1.140 1.137 1.137 1.139 1.147 1.158 1.171 1.182 1.189 1.190 1.191 1.203 1.221 1.233 1.226 1.193 1.146 1.140 + 1.140 1.140 1.137 1.136 1.136 1.137 1.139 1.140 1.142 1.142 1.142 1.145 1.148 1.151 1.151 1.146 1.140 1.140 + 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 1.140 + 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 + 1.260 1.260 1.259 1.258 1.258 1.260 1.262 1.263 1.263 1.261 1.260 1.259 1.258 1.257 1.257 1.258 1.260 1.260 + 1.260 1.259 1.259 1.263 1.272 1.282 1.288 1.285 1.271 1.253 1.236 1.223 1.215 1.211 1.217 1.235 1.258 1.260 + 1.260 1.258 1.262 1.272 1.289 1.311 1.324 1.315 1.284 1.245 1.211 1.187 1.172 1.165 1.176 1.211 1.255 1.260 + 1.260 1.258 1.266 1.282 1.310 1.347 1.370 1.354 1.301 1.237 1.187 1.158 1.141 1.129 1.144 1.193 1.252 1.260 + 1.260 1.259 1.268 1.288 1.324 1.375 1.409 1.383 1.306 1.220 1.162 1.140 1.126 1.115 1.137 1.191 1.251 1.260 + 1.260 1.259 1.265 1.282 1.314 1.356 1.373 1.335 1.255 1.174 1.130 1.126 1.126 1.131 1.165 1.210 1.255 1.260 + 1.260 1.258 1.260 1.267 1.282 1.298 1.285 1.241 1.187 1.145 1.134 1.148 1.157 1.178 1.212 1.239 1.260 1.260 + 1.260 1.257 1.258 1.261 1.266 1.273 1.262 1.242 1.231 1.221 1.223 1.232 1.228 1.237 1.259 1.269 1.262 1.260 + 1.260 1.257 1.268 1.285 1.313 1.353 1.377 1.392 1.399 1.377 1.348 1.326 1.303 1.302 1.314 1.303 1.266 1.260 + 1.260 1.259 1.283 1.323 1.388 1.467 1.516 1.540 1.542 1.503 1.444 1.394 1.373 1.379 1.381 1.342 1.273 1.260 + 1.260 1.260 1.289 1.336 1.409 1.492 1.539 1.551 1.548 1.515 1.454 1.412 1.421 1.449 1.446 1.380 1.279 1.260 + 1.260 1.259 1.281 1.319 1.376 1.439 1.479 1.487 1.484 1.461 1.411 1.402 1.446 1.490 1.487 1.405 1.283 1.260 + 1.260 1.257 1.269 1.292 1.329 1.371 1.403 1.417 1.424 1.410 1.382 1.403 1.460 1.502 1.494 1.408 1.284 1.260 + 1.260 1.255 1.259 1.270 1.291 1.316 1.340 1.357 1.368 1.366 1.362 1.387 1.430 1.460 1.448 1.378 1.278 1.260 + 1.260 1.256 1.256 1.259 1.267 1.280 1.293 1.304 1.312 1.315 1.318 1.334 1.356 1.371 1.362 1.323 1.267 1.260 + 1.260 1.260 1.256 1.254 1.254 1.256 1.257 1.259 1.260 1.261 1.262 1.265 1.269 1.273 1.273 1.267 1.260 1.260 + 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 1.260 + 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 + 1.380 1.380 1.379 1.378 1.378 1.380 1.382 1.383 1.382 1.381 1.379 1.377 1.376 1.375 1.375 1.377 1.380 1.380 + 1.380 1.379 1.379 1.383 1.391 1.401 1.406 1.402 1.388 1.368 1.349 1.334 1.323 1.318 1.327 1.350 1.377 1.380 + 1.380 1.378 1.381 1.390 1.407 1.428 1.439 1.429 1.397 1.355 1.318 1.290 1.269 1.259 1.277 1.322 1.373 1.380 + 1.380 1.378 1.385 1.400 1.427 1.461 1.483 1.465 1.409 1.343 1.290 1.255 1.231 1.216 1.241 1.304 1.370 1.380 + 1.380 1.379 1.387 1.405 1.439 1.487 1.519 1.491 1.412 1.326 1.268 1.242 1.222 1.209 1.242 1.305 1.370 1.380 + 1.380 1.379 1.384 1.398 1.427 1.466 1.482 1.441 1.360 1.286 1.251 1.248 1.239 1.241 1.281 1.330 1.376 1.380 + 1.380 1.378 1.379 1.385 1.398 1.410 1.395 1.347 1.295 1.268 1.274 1.289 1.289 1.303 1.338 1.364 1.382 1.380 + 1.380 1.377 1.379 1.383 1.388 1.394 1.380 1.357 1.348 1.353 1.371 1.381 1.370 1.375 1.392 1.396 1.384 1.380 + 1.380 1.378 1.390 1.410 1.442 1.482 1.504 1.516 1.521 1.506 1.488 1.468 1.444 1.443 1.449 1.431 1.388 1.380 + 1.380 1.379 1.405 1.447 1.516 1.596 1.646 1.665 1.660 1.622 1.569 1.523 1.506 1.515 1.513 1.469 1.394 1.380 + 1.380 1.380 1.410 1.458 1.533 1.617 1.665 1.673 1.662 1.627 1.569 1.530 1.544 1.575 1.571 1.503 1.400 1.380 + 1.380 1.379 1.401 1.439 1.497 1.559 1.598 1.602 1.596 1.573 1.525 1.519 1.566 1.611 1.606 1.525 1.403 1.380 + 1.380 1.377 1.388 1.411 1.448 1.489 1.518 1.527 1.532 1.521 1.496 1.519 1.578 1.621 1.612 1.526 1.403 1.380 + 1.380 1.375 1.379 1.389 1.409 1.433 1.454 1.468 1.479 1.479 1.477 1.503 1.547 1.578 1.566 1.496 1.397 1.380 + 1.380 1.376 1.375 1.378 1.386 1.398 1.410 1.419 1.427 1.431 1.435 1.451 1.475 1.490 1.481 1.442 1.387 1.380 + 1.380 1.380 1.376 1.374 1.374 1.375 1.377 1.378 1.379 1.380 1.381 1.384 1.388 1.392 1.392 1.387 1.380 1.380 + 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 1.380 + 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 + 1.560 1.560 1.559 1.558 1.559 1.560 1.561 1.562 1.561 1.560 1.558 1.556 1.555 1.553 1.554 1.557 1.560 1.560 + 1.560 1.559 1.559 1.562 1.568 1.575 1.579 1.575 1.563 1.546 1.529 1.514 1.503 1.499 1.509 1.531 1.557 1.560 + 1.560 1.559 1.561 1.567 1.580 1.595 1.604 1.594 1.566 1.531 1.497 1.470 1.449 1.439 1.460 1.505 1.553 1.560 + 1.560 1.558 1.563 1.574 1.594 1.620 1.636 1.618 1.571 1.515 1.468 1.435 1.410 1.397 1.427 1.489 1.550 1.560 + 1.560 1.559 1.564 1.577 1.602 1.638 1.662 1.635 1.568 1.497 1.449 1.426 1.406 1.395 1.431 1.492 1.551 1.560 + 1.560 1.558 1.561 1.571 1.592 1.619 1.630 1.592 1.522 1.465 1.443 1.443 1.432 1.432 1.471 1.516 1.556 1.560 + 1.560 1.558 1.558 1.561 1.568 1.574 1.559 1.515 1.472 1.459 1.476 1.493 1.488 1.496 1.525 1.548 1.562 1.560 + 1.560 1.557 1.559 1.561 1.564 1.566 1.553 1.532 1.526 1.540 1.567 1.578 1.564 1.564 1.575 1.576 1.564 1.560 + 1.560 1.558 1.569 1.586 1.612 1.644 1.663 1.674 1.678 1.670 1.663 1.648 1.626 1.622 1.624 1.606 1.568 1.560 + 1.560 1.560 1.581 1.616 1.673 1.740 1.784 1.801 1.794 1.764 1.724 1.687 1.673 1.680 1.676 1.637 1.573 1.560 + 1.560 1.560 1.584 1.624 1.686 1.756 1.799 1.807 1.796 1.767 1.720 1.687 1.699 1.724 1.719 1.663 1.577 1.560 + 1.560 1.559 1.577 1.608 1.655 1.707 1.740 1.745 1.740 1.723 1.683 1.677 1.717 1.752 1.746 1.679 1.578 1.560 + 1.560 1.557 1.566 1.584 1.614 1.647 1.671 1.680 1.685 1.678 1.658 1.677 1.725 1.760 1.750 1.679 1.579 1.560 + 1.560 1.556 1.558 1.566 1.582 1.601 1.618 1.629 1.639 1.640 1.639 1.661 1.698 1.723 1.713 1.655 1.574 1.560 + 1.560 1.557 1.556 1.557 1.563 1.573 1.582 1.590 1.597 1.600 1.604 1.618 1.637 1.649 1.642 1.611 1.566 1.560 + 1.560 1.560 1.557 1.555 1.555 1.555 1.557 1.558 1.559 1.560 1.561 1.563 1.567 1.569 1.570 1.566 1.560 1.560 + 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 1.560 + 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 + 1.740 1.740 1.739 1.739 1.739 1.740 1.740 1.741 1.740 1.740 1.739 1.737 1.736 1.735 1.736 1.738 1.740 1.740 + 1.740 1.739 1.739 1.741 1.744 1.748 1.750 1.748 1.740 1.730 1.719 1.710 1.702 1.698 1.706 1.721 1.738 1.740 + 1.740 1.739 1.740 1.743 1.750 1.759 1.763 1.757 1.740 1.718 1.697 1.679 1.663 1.654 1.671 1.704 1.735 1.740 + 1.740 1.739 1.741 1.747 1.758 1.772 1.780 1.768 1.738 1.704 1.674 1.652 1.633 1.624 1.648 1.693 1.734 1.740 + 1.740 1.739 1.741 1.748 1.762 1.781 1.795 1.776 1.733 1.689 1.659 1.645 1.633 1.625 1.653 1.696 1.734 1.740 + 1.740 1.739 1.740 1.744 1.754 1.769 1.775 1.748 1.700 1.666 1.656 1.661 1.654 1.652 1.681 1.712 1.737 1.740 + 1.740 1.739 1.738 1.738 1.739 1.739 1.728 1.696 1.666 1.664 1.685 1.700 1.694 1.697 1.719 1.733 1.741 1.740 + 1.740 1.738 1.738 1.738 1.736 1.734 1.724 1.710 1.708 1.723 1.749 1.759 1.746 1.743 1.750 1.751 1.743 1.740 + 1.740 1.739 1.745 1.754 1.768 1.787 1.800 1.809 1.814 1.809 1.808 1.799 1.783 1.779 1.780 1.769 1.745 1.740 + 1.740 1.740 1.752 1.772 1.806 1.850 1.880 1.892 1.888 1.868 1.843 1.818 1.810 1.814 1.811 1.787 1.748 1.740 + 1.740 1.740 1.754 1.777 1.814 1.859 1.887 1.893 1.886 1.870 1.839 1.815 1.823 1.839 1.836 1.802 1.750 1.740 + 1.740 1.739 1.749 1.767 1.795 1.826 1.848 1.853 1.852 1.844 1.815 1.810 1.835 1.855 1.852 1.811 1.751 1.740 + 1.740 1.738 1.743 1.753 1.770 1.790 1.805 1.811 1.816 1.813 1.799 1.811 1.842 1.862 1.856 1.811 1.751 1.740 + 1.740 1.738 1.738 1.742 1.750 1.762 1.772 1.780 1.786 1.787 1.787 1.800 1.823 1.839 1.833 1.797 1.748 1.740 + 1.740 1.738 1.737 1.737 1.740 1.746 1.751 1.756 1.760 1.763 1.765 1.774 1.785 1.793 1.789 1.770 1.743 1.740 + 1.740 1.740 1.738 1.737 1.737 1.737 1.738 1.738 1.739 1.740 1.740 1.742 1.744 1.745 1.746 1.743 1.740 1.740 + 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 1.740 + 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 + 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 + 1.980 1.980 1.979 1.979 1.979 1.980 1.980 1.981 1.980 1.980 1.979 1.977 1.976 1.975 1.976 1.978 1.980 1.980 + 1.980 1.980 1.979 1.979 1.979 1.980 1.982 1.982 1.980 1.978 1.974 1.971 1.965 1.955 1.961 1.975 1.980 1.980 + 1.980 1.980 1.979 1.979 1.980 1.983 1.984 1.982 1.977 1.971 1.965 1.958 1.952 1.939 1.953 1.974 1.980 1.980 + 1.980 1.980 1.979 1.979 1.981 1.987 1.999 1.994 1.980 1.967 1.956 1.957 1.958 1.944 1.959 1.974 1.980 1.980 + 1.980 1.980 1.979 1.979 1.980 1.986 1.997 1.990 1.964 1.949 1.951 1.968 1.962 1.950 1.971 1.977 1.980 1.980 + 1.980 1.980 1.979 1.977 1.976 1.972 1.969 1.946 1.926 1.939 1.964 1.980 1.967 1.968 1.984 1.982 1.980 1.980 + 1.980 1.980 1.978 1.976 1.966 1.958 1.950 1.939 1.948 1.966 1.993 2.002 1.983 1.981 1.983 1.984 1.980 1.980 + 1.980 1.980 1.979 1.979 1.978 1.980 1.982 1.995 2.004 1.993 1.996 1.995 1.981 1.980 1.986 1.986 1.980 1.980 + 1.980 1.980 1.980 1.981 1.989 2.008 2.022 2.026 2.021 2.010 2.001 1.986 1.986 1.991 1.993 1.989 1.980 1.980 + 1.980 1.980 1.980 1.982 1.989 2.006 2.012 2.008 2.003 2.006 1.994 1.973 1.982 1.996 1.999 1.991 1.980 1.980 + 1.980 1.980 1.979 1.980 1.983 1.988 1.993 1.991 1.993 2.004 1.979 1.976 1.991 1.995 2.000 1.992 1.980 1.980 + 1.980 1.980 1.978 1.978 1.979 1.982 1.984 1.984 1.990 1.992 1.975 1.986 2.003 2.007 2.006 1.992 1.980 1.980 + 1.980 1.980 1.978 1.976 1.977 1.978 1.979 1.981 1.985 1.983 1.982 1.985 1.992 2.000 2.002 1.989 1.980 1.980 + 1.980 1.980 1.978 1.977 1.977 1.977 1.978 1.978 1.979 1.980 1.980 1.982 1.984 1.985 1.986 1.983 1.980 1.980 + 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 + 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 1.980 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 2.400 + ,OUTPUT DWS AT ITERATION 1 + 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 + 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 + 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2 1.9 1.3 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PSL_nn array def + PSL_xp 0 PSL_xx 0 get put + PSL_yp 0 PSL_yy 0 get put + 1 1 PSL_nn1 + { /i exch def + /node_type PSL_kind i get def + /j j 1 add def + PSL_xp j PSL_xx i get put + PSL_yp j PSL_yy i get put + node_type 1 eq + {n 0 eq + {PSL_CT_drawline} + { PSL_CT_reversepath + PSL_CT_textline} ifelse + /j 0 def + PSL_xp j PSL_xx i get put + PSL_yp j PSL_yy i get put + } if + } for + n 0 eq {PSL_CT_drawline} if + PSL_lastcall + {PSL_clippath + {clip /PSL_clip_on true def} if N + } if +} def +/PSL_CT_textline +{PSL_placetext + {PSL_clippath + {PSL_CT_clippath} {PSL_CT_placelabel} ifelse + } if + /n 0 def /k k 1 add def PSL_setlinepen +} def +/PSL_CT_calcstringwidth +{ /PSL_width PSL_m array def + 0 1 PSL_m1 + { /i exch def + PSL_width i PSL_str i get stringwidth pop put + } for +} def +/PSL_CT_calclinedist +{ /PSL_newx PSL_x 0 get def + /PSL_newy PSL_y 0 get def + /dist 0.0 def + /PSL_dist PSL_n array def + PSL_dist 0 0.0 put + 1 1 PSL_n1 + { /i exch def + /PSL_oldx PSL_newx def + /PSL_oldy PSL_newy def + /PSL_newx PSL_x i get def + /PSL_newy PSL_y i get def + /dx PSL_newx PSL_oldx sub def + /dy PSL_newy PSL_oldy sub def + /dist dist dx dx mul dy dy mul add sqrt add def + PSL_dist i dist put + } for +} def +/PSL_CT_addcutpoints +{ /k 0 def + /PSL_nc PSL_m 2 mul 1 add def + /PSL_cuts PSL_nc array def + /PSL_nc1 PSL_nc 1 sub def + 0 1 PSL_m1 + { /i exch def + /dist PSL_dist PSL_node i get get def + /halfwidth PSL_width i get 2 div PSL_gap_x add def + PSL_cuts k dist halfwidth sub put + /k k 1 add def + PSL_cuts k dist halfwidth add put + /k k 1 add def + } for + PSL_cuts k 100000.0 put + /PSL_nn PSL_n PSL_m 2 mul add def + /PSL_xx PSL_nn array def + /PSL_yy PSL_nn array def + /PSL_kind PSL_nn array def + /j 0 def + /k 0 def + /dist 0.0 def + 0 1 PSL_n1 + { /i exch def + /last_dist dist def + /dist PSL_dist i get def + k 1 PSL_nc1 + { /kk exch def + /this_cut PSL_cuts kk get def + dist this_cut gt + { /ds dist last_dist sub def + /f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def + /i1 i 0 eq {0} {i 1 sub} ifelse def + PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put + PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put + PSL_kind j 1 put + /j j 1 add def + /k k 1 add def + } if + } for + dist PSL_cuts k get le + {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put + PSL_kind j 0 put + /j j 1 add def + } if + } for +} def +/PSL_CT_reversepath +{PSL_xp j get PSL_xp 0 get lt + {0 1 j 2 idiv + { /left exch def + /right j left sub def + /tmp PSL_xp left get def + PSL_xp left PSL_xp right get put + PSL_xp right tmp put + /tmp PSL_yp left get def + PSL_yp left PSL_yp right get put + PSL_yp right tmp put + } for + } if +} def +/PSL_CT_placelabel +{ + PSL_usebox + {PSL_CT_clippath + PSL_fillbox + {V PSL_setboxrgb fill U} if + PSL_drawbox + {PSL_setboxpen S} if N + } if + PSL_settxtrgb PSL_CT_placeline PSL_str k get PSL_gap_x PSL_just PSL_height PSL_pathtext +} def +/PSL_CT_clippath +{ + /H PSL_height 2 div PSL_gap_y add def + /xoff j 1 add array def + /yoff j 1 add array def + /angle 0 def + 0 1 j { + /ii exch def + /x PSL_xp ii get def + /y PSL_yp ii get def + ii 0 eq { + /x1 PSL_xp 1 get def + /y1 PSL_yp 1 get def + /dx x1 x sub def + /dy y1 y sub def + } + { /i1 ii 1 sub def + /x1 PSL_xp i1 get def + /y1 PSL_yp i1 get def + /dx x x1 sub def + /dy y y1 sub def + } ifelse + dx 0.0 ne dy 0.0 ne and + { /angle dy dx atan 90 add def} if + /sina angle sin def + /cosa angle cos def + xoff ii H cosa mul put + yoff ii H sina mul put + } for + PSL_xp 0 get xoff 0 get add PSL_yp 0 get yoff 0 get add M + 1 1 j { + /ii exch def + PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L + } for + j -1 0 { + /ii exch def + PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L + } for P +} def +/PSL_CT_drawline +{ + /str 20 string def + PSL_strokeline + {PSL_CT_placeline PSL_setlinepen S} if + /PSL_seg PSL_seg 1 add def + /n 1 def +} def +/PSL_CT_placeline +{PSL_xp 0 get PSL_yp 0 get M + 1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for +} def +/PSL_straight_text_labels +{ + /bits exch def + /PSL_clippath bits 1 and 0 eq def + /PSL_rounded bits 16 and 16 eq def + /PSL_fillbox bits 128 and 128 eq def + /PSL_drawbox bits 256 and 256 eq def + /PSL_m1 PSL_m 1 sub def + /PSL_justx PSL_just 4 mod 1 sub 2 div neg def + /PSL_justy PSL_just 4 idiv PSL_height mul 2 div neg def + /PSL_usebox PSL_fillbox PSL_drawbox or def + PSL_clippath + {PSL_ST_clippath} + {PSL_usebox {PSL_ST_clippath} if + PSL_ST_placelabel + } ifelse +} def +/PSL_ST_placelabel +{PSL_settxtrgb + 0 1 PSL_m1 + { /k exch def + /xp PSL_txt_x k get def + /yp PSL_txt_y k get def + V PSL_txt_x k get PSL_txt_y k get T + PSL_angle k get R + /BoxW PSL_str k get stringwidth pop def + BoxW PSL_justx mul PSL_justy M + PSL_str k get show + U + } for +} def +/PSL_ST_clippath +{PSL_rounded {PSL_ST_clippath_round} {PSL_ST_clippath_rect} ifelse + PSL_usebox + {PSL_fillbox + {V PSL_setboxrgb fill U} if + PSL_drawbox + {PSL_setboxpen S} if N + } + {clip /PSL_clip_on true def + } ifelse + N +} def +/PSL_ST_clippath_rect +{N + /BoxH PSL_height PSL_gap_y 2 mul add def + /DelY BoxH BoxH 0 3 array astore def + PSL_usebox not {clipsave clippath} if + 0 1 PSL_m1 + { /k exch def + /xp PSL_txt_x k get def + /yp PSL_txt_y k get def + /MAT PSL_angle k get matrix R def + /BoxW PSL_str k get stringwidth pop PSL_gap_x 2 mul add def + /x0 0 BoxW PSL_justx mul add def + /y0 0 PSL_justy add PSL_gap_y sub def + /DelX 0 BoxW BoxW 3 array astore def + x0 y0 MAT transform + /dy exch def /dx exch def + xp dx add yp dy add M + 0 1 2 + { + /ii exch def + x0 DelX ii get add y0 DelY ii get add MAT transform + /dy exch def /dx exch def + xp dx add yp dy add L + } for P + } for +} def +/PSL_ST_clippath_round +{N + /PSL_justy2 PSL_just 4 idiv 2 div neg def + /BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def + /BoxH PSL_height PSL_gap_y 2 mul add def + /y0 PSL_height PSL_gap_y 2 mul add PSL_justy2 mul def + PSL_usebox not {clipsave clippath} if + 0 1 PSL_m1 + { /k exch def + /xp PSL_txt_x k get def + /yp PSL_txt_y k get def + /BoxW PSL_str k get stringwidth pop PSL_gap_x 2 mul add def + /x0 BoxW PSL_justx mul def + xp yp T PSL_angle k get R x0 y0 T + BoxR 0 M + BoxW 0 BoxW BoxH BoxR arct BoxW BoxH 0 BoxH BoxR arct 0 BoxH 0 0 BoxR arct 0 0 BoxW 0 BoxR arct P + x0 neg y0 neg T PSL_angle k get neg R xp neg yp neg T + } for +} def +/PSL_clip_on false def +%%EndProlog +%%BeginSetup +/PSLevel /languagelevel where {pop languagelevel} {1} ifelse def +PSLevel 1 gt { << /PageSize [595 842] /ImagingBBox null >> setpagedevice } if +%%EndSetup +%%Page: 1 1 +%%BeginPageSetup +0.24 0.24 scale +%%EndPageSetup +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +295.276 1500 T +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05WseN -P -K -Y5i +%%PROJ: merc 121.35000000 121.60500000 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PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 323 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 581 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +%% PostScript produced by: +%%GMT: grdimage -JM2i 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-624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +122.835 -68.622 T +%% PostScript produced by: +%%GMT: psscale -Cslice.cpt -Ba0.1f0.05:S velocity (km/s): -D1.0i/-0.15i/3.00/0.2h -O -K -P +%%PROJ: xy 0.60000000 1.50000000 0.00000000 0.07874016 0.600 1.500 0.000 0.079 +xy +a=6378137.000 +b=6356752.314245 +0 A +5 W +V N 0 0 T 354 24 scale /DeviceRGB setcolorspace +<< /ImageType 1 /Decode [0 1 0 1 0 1] /Width 9 /Height 1 /BitsPerComponent 8 + /ImageMatrix [9 0 0 -1 0 1] /DataSource currentfile /ASCII85Decode filter +>> image +e,TLK.KKKu!<:OKs8N)#rsp^U7KB*j!%?t~> +U +0 0 M 354 0 D S +0 24 M 354 0 D S +0 0 M 0 24 D S +354 0 M 0 24 D S +/PSL_sign -1 def +/PSL_do_annot 1 def +/PSL_do_label 0 def +/PSL_do_A1 0 def +/PSL_TL1 12 def +/PSL_AO0 24 def +/PSL_AO1 24 def +/PSL_LO 12 def +/PSL_AF0 25 def +/PSL_AF1 67 def +/PSL_LF 21 def +/PSL_AH0 0 def +/PSL_AH1 0 def +0 0 M 21 F0 (M) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_dim_d sub /PSL_LH exch def +0 0 M 354 0 D S +1 W +0 0 M 0 -12 D S +39 0 M 0 -12 D S +79 0 M 0 -12 D S +118 0 M 0 -12 D S +157 0 M 0 -12 D S +197 0 M 0 -12 D S +236 0 M 0 -12 D S +276 0 M 0 -12 D S +315 0 M 0 -12 D S +354 0 M 0 -12 D S +0 0 M 25 F0 (0.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.7) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.9) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.1) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.3) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.5) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +20 0 M 0 -6 D S +39 0 M 0 -6 D S +59 0 M 0 -6 D S +79 0 M 0 -6 D S +98 0 M 0 -6 D S +118 0 M 0 -6 D S +138 0 M 0 -6 D S +157 0 M 0 -6 D S +177 0 M 0 -6 D S +197 0 M 0 -6 D S +217 0 M 0 -6 D S +236 0 M 0 -6 D S +256 0 M 0 -6 D S +276 0 M 0 -6 D S +295 0 M 0 -6 D S +315 0 M 0 -6 D S +335 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 0 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.6) Z +/PSL_x 39 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.7) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.7) Z +/PSL_x 79 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.8) Z +/PSL_x 118 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.9) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.9) Z +/PSL_x 157 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.0) Z +/PSL_x 197 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.1) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.1) Z +/PSL_x 236 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.2) Z +/PSL_x 276 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.3) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.3) Z +/PSL_x 315 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.5) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.5) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 68.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +690 0 T +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05NwsE -P -K -O -x2.3i +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +0 A +1 W +118 0 M +0 -12 D S +118 581 M +0 12 D S +353 0 M +0 -12 D S +353 581 M +0 12 D S +588 0 M +0 -12 D S +588 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exch def pop /PSL_dim_d exch def pop +635 581 M 0 PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +%% PostScript produced by: +%%GMT: grdimage -JM2i -R121.35/121.605/24.975/25.2 tmp.grd -BSenW -E100 -Cslice.cpt -O -K +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +clipsave +0 0 M +600 0 D +0 581 D +-600 0 D +eoclip N 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M 0 -12 D S +276 0 M 0 -12 D S +354 0 M 0 -12 D S +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +39 0 M 0 -6 D S +79 0 M 0 -6 D S +118 0 M 0 -6 D S +157 0 M 0 -6 D S +197 0 M 0 -6 D S +236 0 M 0 -6 D S +276 0 M 0 -6 D S +315 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 39 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.2) Z +/PSL_x 118 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 197 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.6) Z +/PSL_x 276 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.8) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.0) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 98.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +690 0 T +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05SwnE -P -K -O -x2.3i +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +0 A +1 W +118 0 M +0 -12 D S +118 581 M +0 12 D S +353 0 M +0 -12 D S +353 581 M +0 12 D S +588 0 M +0 -12 D S +588 581 M +0 12 D S +0 65 M +-12 0 D S +600 65 M +12 0 D S +0 323 M +-12 0 D S +600 323 M +12 0 D S +0 581 M +-12 0 D S +600 581 M +12 0 D S +0 0 M 25 F0 (121š24œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +118 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š24œ) Z +0 0 M 25 F0 (121š30œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +353 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š30œ) Z +0 0 M 25 F0 (121š36œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +588 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 65 M 0 PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 323 M 0 PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 581 M 0 PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +%% PostScript produced by: +%%GMT: grdimage -JM2i -R121.35/121.605/24.975/25.2 tmp.grd -BSenW -E100 -Cslice.cpt -O -K +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +clipsave +0 0 M +600 0 D +0 581 D +-600 0 D +eoclip N +V N 0 0 T 600 581 scale [/Indexed /DeviceRGB 12 < +FF5900FF1300FF9E00CD0000FFE400AA0000FFFF00CAFF0A4EFD2904F16B0074DF0021E10000CD>] setcolorspace +<< /ImageType 1 /Decode [0 15] /Width 200 /Height 194 /BitsPerComponent 4 + /ImageMatrix [200 0 0 -194 0 194] /DataSource currentfile /ASCII85Decode filter /LZWDecode filter +>> image +J,g]g3$]7K#D>EP:q1$o*=mro@So+\<\5,H7Uo<*jE<[.O@Wn[3@'nb-^757;Rp>H>q_R=AlC^cenm@9:1mI4#Y'5+#YsFOg +&2\;6B+hje?FoV01r*>l-W[o_k!"qDIba\23OnPKi7^@cY)V:V->r4sI%>q>^mBE;R67dRMh2O76c 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psscale -Cslice.cpt -Ba0.2f0.1:S velocity (km/s): -D1.0i/-0.25i/3.00/0.2h -O -P +%%PROJ: xy 1.30000000 2.40000000 0.00000000 0.07874016 1.300 2.400 0.000 0.079 +xy +a=6378137.000 +b=6356752.314245 +0 A +5 W +V N 0 0 T 354 24 scale /DeviceRGB setcolorspace +<< /ImageType 1 /Decode [0 1 0 1 0 1] /Width 11 /Height 1 /BitsPerComponent 8 + /ImageMatrix [11 0 0 -1 0 1] /DataSource currentfile /ASCII85Decode filter +>> image +bl@bD'*/&8!<8Vjs5X1[rrC4A$;UOK"S$7-FPd'Ai;~> +U +0 0 M 354 0 D S +0 24 M 354 0 D S +0 0 M 0 24 D S +354 0 M 0 24 D S +/PSL_sign -1 def +/PSL_do_annot 1 def +/PSL_do_label 0 def +/PSL_do_A1 0 def +/PSL_TL1 12 def +/PSL_AO0 24 def +/PSL_AO1 24 def +/PSL_LO 12 def +/PSL_AF0 25 def +/PSL_AF1 67 def +/PSL_LF 21 def +/PSL_AH0 0 def +/PSL_AH1 0 def +0 0 M 21 F0 (M) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_dim_d sub /PSL_LH exch def +0 0 M 354 0 D S +1 W +32 0 M 0 -12 D S +97 0 M 0 -12 D S +161 0 M 0 -12 D S +225 0 M 0 -12 D S +290 0 M 0 -12 D S +354 0 M 0 -12 D S +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (2.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (2.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +32 0 M 0 -6 D S +64 0 M 0 -6 D S +97 0 M 0 -6 D S +129 0 M 0 -6 D S +161 0 M 0 -6 D S +193 0 M 0 -6 D S +225 0 M 0 -6 D S +258 0 M 0 -6 D S +290 0 M 0 -6 D S +322 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 32 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 97 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.6) Z +/PSL_x 161 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.8) Z +/PSL_x 225 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.0) Z +/PSL_x 290 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.2) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.4) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +%%PageTrailer +-122.835 98.622 T 4.16667 4.16667 scale 0 A +showpage +%%Trailer +end +%%Trailer +cleartomark +countdictstack +exch sub { end } repeat +restore +%%EOF diff --git a/example/horizVs.pdf b/example/horizVs.pdf new file mode 100644 index 0000000000000000000000000000000000000000..bdbdfb397fb767b6095fdd755ba1bb0bc62a7fcb GIT binary patch literal 18667 zcmb_^2UJtb_O}#6h@pcf(n3dS3cX248XL0 zAqDoC90;WD1DaW&HRQGkJ z!;7QDgWc*a$6;xXv{j?pimrEoWUM~T>blG3YYLBV7l?{-3L8RuE;v)fMlx+%(EirP zUOo!qn@1OBTg0+QIoc-KvJZGNmwL|Y4}5L8A%`aZykc{k`s#_^MsOqt_r~4PB;2%{%7di42 zodfPV=6al$2|sjrUvk%pPR#1ZbDg0()~j*J`UhWo2J8;Mqz^3KdU^HmUD(LskAb$` zNxG+ptLG0_rR_pLHYB%wwb|^yvwdmfQ+>dut3tJ-|Cmw?q0(yu>!^`F{Op<}58sW3 z@(`wq=WVr9c>zOT8n-Wfc$~+KEqyZpeCS_k-UEC%I45uS5JHy4Zqibb(hYoQ^OfZW 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/PSL_dim_h exch def pop /PSL_dim_d exch def pop +118 617 M PSL_dim_w 2 div neg 0 G 25 F0 (121š24œ) Z +0 0 M 25 F0 (121š30œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +353 617 M PSL_dim_w 2 div neg 0 G 25 F0 (121š30œ) Z +0 0 M 25 F0 (121š36œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +588 617 M PSL_dim_w 2 div neg 0 G 25 F0 (121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 65 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 323 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 581 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit + +%% PostScript produced by: +%%GMT: grdimage -JM2i -R121.35/121.605/24.975/25.2 tmp.grd -BSenW -E100 -Cslice.cpt -O -K +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +clipsave +0 0 M +600 0 D +0 581 D +-600 0 D +eoclip N +V N 0 0 T 600 581 scale [/Indexed /DeviceRGB 10 < +FFFF00FFD400FF7F00FF2A00ACFF0FD40000AA00002DF74600A0B70028E60000CD>] setcolorspace +<< /ImageType 1 /Decode [0 15] /Width 200 /Height 194 /BitsPerComponent 4 + /ImageMatrix [200 0 0 -194 0 194] /DataSource currentfile /ASCII85Decode filter /LZWDecode filter +>> image +J,g]g3$]7K#D>EP:q1$o*=mro@So+\<\5,H7Uo<*jE<[.O@Wn[3@'nb-^757;Rp>H>q_R=AlC^ceg^\+c=^(T[#/ibTMHr?g +'ngO6]BEl5nJ_o02&.jC!eC.6BtHJ_s5ce`F]ojXk08T$K[-[]2qZSLWq1]7b)]]@HV5It +M-JR(P9Y&T,#:nT8Sp'(;"'@IgWR^1.JDa'/Ol^q>SIXW0\Q,dJTMQdAdlEmQPOSlp#/,J);&/53 +5(c#Eg/f*-O+M>\7WG4Fg-RB##n]W59T^A\ +/TcOJMSh9H1;HboN.Jt.[u`7#\,HbO99,&Oc5\lT7XYa +p1)MWAPPOck>j45t3[V!BNu_9)=-2O)21b5no"t5eN>`$VX7#`AW9EP0-9a<-/9k;Pt5:%6Df%lK50HZNC'V'CRrkfttC@3j-pHY+"o)$`@+RK]2D(p)8c?odW@7-[u.af9qGoRdlIDZ7*7laJcoMs$8sa0P'amE\t_NKaG* +B"9_<@,D]ZR5f)FG$B!*)_!MTBNsNDd]'NA26(WJ.P7mJf\X`iP<=9`^$RoIWQJTfL7rtH=L'M8dMUk-WH;&8bH!^j<_L9q= +AFEZTqriI1iZX&@uVE1(R!Q7A"AL_q]5fW/thUA0'Y:/0g`r(qQCOpUoh4HrW1sfJn&9r +)o6p_^"Usp9o9[0tV_RM;c+A)!RXst>WBJTW#qA>!+4p&GhIc_`hP_N$J(+hKAj'QTFA-ek)[cj1q@X@*f:*'9jaMAVHF*`a 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+*QKr/[998H$(<-0,^?hj'[KHUN.)9/S+3rpqEh_,\W9hYS(aLk+\#$2JO(rBEK4@]X4#R=p/ah*^k(Y>K>">^LmJKHs\$*$_ +Vs.N-I_G.rsGh:4osecUn75)7Z6QZuckkbWDX8:U=4D1r4pFi.HiiEpkW7BiWPR"GN?HD*%%DnAK26_,-BAHOZ/41V[uZ.I=,I^W.n&#sfd +#EV248*!"$D\HY]j3[_ibkGq3JZ2`6lFl]GT]K!O,Zrmbi1H(!cO]4f-(+V/JH&CTc>U#c75BI4W)7L9^M +!u8XmeVUt**m11aG8pZ7\mV6k3$R-F\0TSYWh[iMF0e+7]+s6#.RoQA?HDAKWDnK$LY)*dd5:Dc>[Ad6jDMfhMfUt"Y+2-/i +MH4i;eb0&Fa0/Nn.R7NsFuMY3S@\%_bl'VZP%4Y7RlCcdYFG8q(\`P(u7.mB2rBRg2ZFWC<]cM`*BS:2@)&Viaf +"MMr3%/phJbmr;YmJ815N\Imua%Yi4DkpHB]B,?T'(XIKul-MMl3,(fO#Ud)!#cds,FEB6`jpKJ6-6TRjicT6WL'Qq@bjN[B +*uiQFJ80iZ7:KnkW6Zl"Pcg1XZ+1AHY0#'PLP_&d%8:Dk.isK>O\CcK1"IlX_YjSFV=?scV*^+I?^&eZcjpm#hF0P9U/bu.C\64?_E9,m0Ip_#nan]rOr-RQ,o+cSJ;/E3jR4X'(&aC]7X.< +na1m/l_^+cTGDjETMgd#I2K5@W!(N!s-Lm,&53+enEU#`-Y3>V@kBgM:%SmnRA'geFg&_4n=?dX\=`50V2Zmg[W!M3,uF9-V +Mna6.]`$T%oR2^.G04%O\oB.k`tWl47;[BeXXW)e#'GVtXpc]PNK$:-G2.Z-m6,Z-'@:GebcTek+*^]@>C%8Klc]I4:'@>DK 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-Ba0.1f0.05:S velocity (km/s): -D1.0i/-0.15i/3.00/0.2h -O -K -P +%%PROJ: xy 0.60000000 1.50000000 0.00000000 0.07874016 0.600 1.500 0.000 0.079 +xy +a=6378137.000 +b=6356752.314245 +0 A +5 W +V N 0 0 T 354 24 scale /DeviceRGB setcolorspace +<< /ImageType 1 /Decode [0 1 0 1 0 1] /Width 9 /Height 1 /BitsPerComponent 8 + /ImageMatrix [9 0 0 -1 0 1] /DataSource currentfile /ASCII85Decode filter +>> image +e,TLK.KKKu!<:OKs8N)#rsp^U7KB*j!%?t~> +U +0 0 M 354 0 D S +0 24 M 354 0 D S +0 0 M 0 24 D S +354 0 M 0 24 D S +/PSL_sign -1 def +/PSL_do_annot 1 def +/PSL_do_label 0 def +/PSL_do_A1 0 def +/PSL_TL1 12 def +/PSL_AO0 24 def +/PSL_AO1 24 def +/PSL_LO 12 def +/PSL_AF0 25 def +/PSL_AF1 67 def +/PSL_LF 21 def +/PSL_AH0 0 def +/PSL_AH1 0 def +0 0 M 21 F0 (M) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_dim_d sub /PSL_LH exch def +0 0 M 354 0 D S +1 W +0 0 M 0 -12 D S +39 0 M 0 -12 D S +79 0 M 0 -12 D S +118 0 M 0 -12 D S +157 0 M 0 -12 D S +197 0 M 0 -12 D S +236 0 M 0 -12 D S +276 0 M 0 -12 D S +315 0 M 0 -12 D S +354 0 M 0 -12 D S +0 0 M 25 F0 (0.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.7) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.9) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.1) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.3) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.5) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +20 0 M 0 -6 D S +39 0 M 0 -6 D S +59 0 M 0 -6 D S +79 0 M 0 -6 D S +98 0 M 0 -6 D S +118 0 M 0 -6 D S +138 0 M 0 -6 D S +157 0 M 0 -6 D S +177 0 M 0 -6 D S +197 0 M 0 -6 D S +217 0 M 0 -6 D S +236 0 M 0 -6 D S +256 0 M 0 -6 D S +276 0 M 0 -6 D S +295 0 M 0 -6 D S +315 0 M 0 -6 D S +335 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 0 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.6) Z +/PSL_x 39 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.7) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.7) Z +/PSL_x 79 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.8) Z +/PSL_x 118 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.9) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.9) Z +/PSL_x 157 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.0) Z +/PSL_x 197 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.1) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.1) Z +/PSL_x 236 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.2) Z +/PSL_x 276 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.3) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.3) Z +/PSL_x 315 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.5) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.5) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 68.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +690 0 T + +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05NwsE -P -K -O -x2.3i +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +0 A +1 W +118 0 M +0 -12 D S +118 581 M +0 12 D S +353 0 M +0 -12 D S +353 581 M +0 12 D S +588 0 M +0 -12 D S +588 581 M +0 12 D S +0 65 M +-12 0 D S +600 65 M +12 0 D S +0 323 M +-12 0 D S +600 323 M +12 0 D S +0 581 M +-12 0 D S +600 581 M +12 0 D S +0 0 M 25 F0 (121š24œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +118 617 M PSL_dim_w 2 div neg 0 G 25 F0 (121š24œ) Z +0 0 M 25 F0 (121š30œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +353 617 M PSL_dim_w 2 div neg 0 G 25 F0 (121š30œ) Z +0 0 M 25 F0 (121š36œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +588 617 M PSL_dim_w 2 div neg 0 G 25 F0 (121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 65 M 0 PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 323 M 0 PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 581 M 0 PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit + +%% PostScript produced by: +%%GMT: grdimage -JM2i -R121.35/121.605/24.975/25.2 tmp.grd -BSenW -E100 -Cslice.cpt -O -K +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +clipsave +0 0 M +600 0 D +0 581 D +-600 0 D +eoclip N +V N 0 0 T 600 581 scale [/Indexed /DeviceRGB 10 < +FFB700FF6A00FF1D00D00000AA0000FFFF0073FF1A16F45A0087CD0024E30000CD>] setcolorspace +<< /ImageType 1 /Decode [0 15] /Width 200 /Height 194 /BitsPerComponent 4 + /ImageMatrix [200 0 0 -194 0 194] /DataSource currentfile /ASCII85Decode filter /LZWDecode filter +>> image +J,g]g3$]7K#D>EP:q1$o*=mro@So+\<\5,H7Uo<*jE<[.O@Wn[3@'nb-^757;Rp>H>q_R=AlC^ceg_9%:-paN/F%XDSk$RPq +B/0L6&j7TZq.nqk6jZt4&Ks'N"#@<%dio%ELra64f':bcRn02#K^t1bSEnE:Z@$]TFG)oL35j;N\u&ieIb.%P1*W+E9LZP=SPTq?Y-(k_RGR +#S_=WUlp*"^.%TlR'EWr//K8#daX6dJh[)^*m3uN!@^&!`6gEc&H"m48WfOh29Ug2]bS0%*8Mo4Cs6NRaCtct1CVUF!?Hi7H +m:VKF.Chj,I>&i8^NT13XJY>jPm&amX4;X_XsZmpIQ(CXZn6+"M[#aFVS0L;"V^A!4*%QSPIYTjKpF;eI]n\cVkhA)-570E9 +JNhD'h'!p2-9jf/!ki7DOEVKh9ndbs$tW<2H.(Nq=X'moi]>lVtPTHub32Fl`pK>SO7V!7k$5O:agg9m^_%(@;E??5@MH1L, +.#9h!CZZak9eENT*8?.]/F4:rF5.RVn]//`KH9Qb1]=1"c=D5#;3-YHoA8J-nhG0ONL]PMHSUUup'.;Zlb[#9an\>E8aAXLi +<@+LO%'^&njrEYpXGp4%KjS52%Idd#ra4GH^khE<,BLiN?Qr(QdT-X55E5"bV$_S0r\TNh13TuQ?c`m'Bc51bYZ>W3Y<_P]NrJ"L:9NT +KDudMMQ5Cq +$j#Wom?oj.aQKeTM8^j!M2@=0D7mKNp2Zk,T0H`;%)mN+S01m/nb6%e[KYesS(%Gt*_%e-&:$E,ZFQ9lWHi'@I_#e(B),0bM +_)"t_s9,=8_9R+Dt_(5k@>+;="N=SH\\B'A6]D1m\A7R.7b%ca'SLW6.sX(LY',]#hq +Y3njmaTE#\'Gbr?ol<#n%,B=#]QGsr[R\rG.:`Q-PS./!]r3WpA$L)7D&Kq.3;4ZX>U!2]9q&`Xfd5R`?Z:$*\XKqr/7X@?N 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/ImageMatrix [10 0 0 -1 0 1] /DataSource currentfile /ASCII85Decode filter +>> image +!@(!5GQ~> +U +0 0 M 354 0 D S +0 24 M 354 0 D S +0 0 M 0 24 D S +354 0 M 0 24 D S +/PSL_sign -1 def +/PSL_do_annot 1 def +/PSL_do_label 0 def +/PSL_do_A1 0 def +/PSL_TL1 12 def +/PSL_AO0 24 def +/PSL_AO1 24 def +/PSL_LO 12 def +/PSL_AF0 25 def +/PSL_AF1 67 def +/PSL_LF 21 def +/PSL_AH0 0 def +/PSL_AH1 0 def +0 0 M 21 F0 (M) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_dim_d sub /PSL_LH exch def +0 0 M 354 0 D S +1 W +0 0 M 0 -12 D S +71 0 M 0 -12 D S +142 0 M 0 -12 D S +213 0 M 0 -12 D S +283 0 M 0 -12 D S +354 0 M 0 -12 D S +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +35 0 M 0 -6 D S +71 0 M 0 -6 D S +106 0 M 0 -6 D S +142 0 M 0 -6 D S +177 0 M 0 -6 D S +213 0 M 0 -6 D S +248 0 M 0 -6 D S +283 0 M 0 -6 D S +319 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 0 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.8) Z +/PSL_x 71 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.0) Z +/PSL_x 142 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.2) Z +/PSL_x 213 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 283 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.6) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.8) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 68.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +-690 -810 T + +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05WneS -P -K -O -y-2.7i -x-2.3i +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +0 A +1 W +118 0 M +0 -12 D S +118 581 M +0 12 D S +353 0 M +0 -12 D S +353 581 M +0 12 D S +588 0 M +0 -12 D S +588 581 M +0 12 D S +0 65 M +-12 0 D S +600 65 M +12 0 D S +0 323 M +-12 0 D S +600 323 M +12 0 D S +0 581 M +-12 0 D S +600 581 M +12 0 D S +0 0 M 25 F0 (121š24œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +118 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š24œ) Z +0 0 M 25 F0 (121š30œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +353 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š30œ) Z +0 0 M 25 F0 (121š36œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +588 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 65 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 323 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 581 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit + +%% PostScript produced by: +%%GMT: grdimage -JM2i -R121.35/121.605/24.975/25.2 tmp.grd -BSenW -E100 -Cslice.cpt -O -K +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +clipsave +0 0 M +600 0 D +0 581 D +-600 0 D +eoclip N +V N 0 0 T 600 581 scale [/Indexed /DeviceRGB 10 < +FF7F00FF2A00FFD400D40000AA0000FFFF00ACFF0F2DF74600A0B70028E60000CD>] setcolorspace +<< /ImageType 1 /Decode [0 15] /Width 200 /Height 194 /BitsPerComponent 4 + /ImageMatrix [200 0 0 -194 0 194] /DataSource currentfile /ASCII85Decode filter /LZWDecode filter +>> image +J,g]g3$]7K#D>EP:q1$o*=mro@So+\<\5,H7Uo<*jE<[.O@Wn[3@'nb-^757;Rp>H>q_R=AlC^cenm@9:1mIDN:qW1S]E2.3 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+/PSL_do_label 0 def +/PSL_do_A1 0 def +/PSL_TL1 12 def +/PSL_AO0 24 def +/PSL_AO1 24 def +/PSL_LO 12 def +/PSL_AF0 25 def +/PSL_AF1 67 def +/PSL_LF 21 def +/PSL_AH0 0 def +/PSL_AH1 0 def +0 0 M 21 F0 (M) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_dim_d sub /PSL_LH exch def +0 0 M 354 0 D S +1 W +39 0 M 0 -12 D S +118 0 M 0 -12 D S +197 0 M 0 -12 D S +276 0 M 0 -12 D S +354 0 M 0 -12 D S +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +39 0 M 0 -6 D S +79 0 M 0 -6 D S +118 0 M 0 -6 D S +157 0 M 0 -6 D S +197 0 M 0 -6 D S +236 0 M 0 -6 D S +276 0 M 0 -6 D S +315 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 39 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.2) Z +/PSL_x 118 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 197 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.6) Z +/PSL_x 276 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.8) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.0) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 98.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +690 0 T + +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05SwnE -P -K -O -x2.3i +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +0 A +1 W +118 0 M +0 -12 D S +118 581 M +0 12 D S +353 0 M +0 -12 D S +353 581 M +0 12 D S +588 0 M +0 -12 D S +588 581 M +0 12 D S +0 65 M +-12 0 D S +600 65 M +12 0 D S +0 323 M +-12 0 D S +600 323 M +12 0 D S +0 581 M +-12 0 D S +600 581 M +12 0 D S +0 0 M 25 F0 (121š24œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +118 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š24œ) Z +0 0 M 25 F0 (121š30œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +353 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š30œ) Z +0 0 M 25 F0 (121š36œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +588 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 65 M 0 PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 323 M 0 PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 581 M 0 PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit + +%% PostScript produced by: +%%GMT: grdimage -JM2i -R121.35/121.605/24.975/25.2 tmp.grd -BSenW -E100 -Cslice.cpt -O -K +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +clipsave +0 0 M +600 0 D +0 581 D +-600 0 D +eoclip N +V N 0 0 T 600 581 scale [/Indexed /DeviceRGB 12 < +FF5900FF1300FF9E00CD0000FFE400AA0000FFFF00CAFF0A4EFD2904F16B0074DF0021E10000CD>] 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+/F34 {/ZapfDingbats Y}! +/PSL_pathtextdict 26 dict def +/PSL_pathtext + {PSL_pathtextdict begin + /textheight exch def + /just exch def + /offset exch def + /str exch def + /pathdist 0 def + /setdist offset def + /charcount 0 def + /justy just 4 idiv textheight mul 2 div neg def + V flattenpath + {movetoproc} {linetoproc} + {curvetoproc} {closepathproc} + pathforall + U N + end + } def +PSL_pathtextdict begin +/movetoproc + { /newy exch def /newx exch def + /firstx newx def /firsty newy def + /ovr 0 def + newx newy transform + /cpy exch def /cpx exch def + } def +/linetoproc + { /oldx newx def /oldy newy def + /newy exch def /newx exch def + /dx newx oldx sub def + /dy newy oldy sub def + /dist dx dup mul dy dup mul add sqrt def + dist 0 ne + { /dsx dx dist div ovr mul def + /dsy dy dist div ovr mul def + oldx dsx add oldy dsy add transform + /cpy exch def /cpx exch def + /pathdist pathdist dist add def + {setdist pathdist le + {charcount str length lt + {setchar} {exit} ifelse} + { /ovr setdist pathdist sub def + exit} + ifelse + } loop + } if + } def +/curvetoproc + { (ERROR: No curveto's after flattenpath!) + print + } def +/closepathproc + {firstx firsty linetoproc + firstx firsty movetoproc + } def +/setchar + { /char str charcount 1 getinterval def + /charcount charcount 1 add def + /charwidth char stringwidth pop def + V cpx cpy itransform T + dy dx atan R + 0 justy M + char show + 0 justy neg G + currentpoint transform + /cpy exch def /cpx exch def + U /setdist setdist charwidth add def + } def +end +/PSL_curved_text_labels +{ /bits exch def + /PSL_clippath bits 1 and 1 eq def + /PSL_placetext bits 2 and 0 eq def + /PSL_strokeline bits 4 and 4 eq def + /PSL_firstcall bits 32 and 32 eq def + /PSL_lastcall bits 64 and 64 eq def + /PSL_fillbox bits 128 and 128 eq def + /PSL_drawbox bits 256 and 256 eq def + /PSL_n1 PSL_n 1 sub def + /PSL_m1 PSL_m 1 sub def + /PSL_usebox PSL_fillbox PSL_drawbox or def + PSL_CT_calcstringwidth + PSL_CT_calclinedist + PSL_CT_addcutpoints + PSL_clippath PSL_firstcall and + {clipsave N clippath} if + PSL_setlinepen + /PSL_nn1 PSL_nn 1 sub def + /n 0 def + /k 0 def + /j 0 def + /PSL_seg 0 def + /PSL_xp PSL_nn array def + /PSL_yp PSL_nn array def + PSL_xp 0 PSL_xx 0 get put + PSL_yp 0 PSL_yy 0 get put + 1 1 PSL_nn1 + { /i exch def + /node_type PSL_kind i get def + /j j 1 add def + PSL_xp j PSL_xx i get put + PSL_yp j PSL_yy i get put + node_type 1 eq + {n 0 eq + {PSL_CT_drawline} + { PSL_CT_reversepath + PSL_CT_textline} ifelse + /j 0 def + PSL_xp j PSL_xx i get put + PSL_yp j PSL_yy i get put + } if + } for + n 0 eq {PSL_CT_drawline} if + PSL_lastcall + {PSL_clippath + {clip /PSL_clip_on true def} if N + } if +} def +/PSL_CT_textline +{PSL_placetext + {PSL_clippath + {PSL_CT_clippath} {PSL_CT_placelabel} ifelse + } if + /n 0 def /k k 1 add def PSL_setlinepen +} def +/PSL_CT_calcstringwidth +{ /PSL_width PSL_m array def + 0 1 PSL_m1 + { /i exch def + PSL_width i PSL_str i get stringwidth pop put + } for +} def +/PSL_CT_calclinedist +{ /PSL_newx PSL_x 0 get def + /PSL_newy PSL_y 0 get def + /dist 0.0 def + /PSL_dist PSL_n array def + PSL_dist 0 0.0 put + 1 1 PSL_n1 + { /i exch def + /PSL_oldx PSL_newx def + /PSL_oldy PSL_newy def + /PSL_newx PSL_x i get def + /PSL_newy PSL_y i get def + /dx PSL_newx PSL_oldx sub def + /dy PSL_newy PSL_oldy sub def + /dist dist dx dx mul dy dy mul add sqrt add def + PSL_dist i dist put + } for +} def +/PSL_CT_addcutpoints +{ /k 0 def + /PSL_nc PSL_m 2 mul 1 add def + /PSL_cuts PSL_nc array def + /PSL_nc1 PSL_nc 1 sub def + 0 1 PSL_m1 + { /i exch def + /dist PSL_dist PSL_node i get get def + /halfwidth PSL_width i get 2 div PSL_gap_x add def + PSL_cuts k dist halfwidth sub put + /k k 1 add def + PSL_cuts k dist halfwidth add put + /k k 1 add def + } for + PSL_cuts k 100000.0 put + /PSL_nn PSL_n PSL_m 2 mul add def + /PSL_xx PSL_nn array def + /PSL_yy PSL_nn array def + /PSL_kind PSL_nn array def + /j 0 def + /k 0 def + /dist 0.0 def + 0 1 PSL_n1 + { /i exch def + /last_dist dist def + /dist PSL_dist i get def + k 1 PSL_nc1 + { /kk exch def + /this_cut PSL_cuts kk get def + dist this_cut gt + { /ds dist last_dist sub def + /f ds 0.0 eq {0.0} {dist this_cut sub ds div} ifelse def + /i1 i 0 eq {0} {i 1 sub} ifelse def + PSL_xx j PSL_x i get dup PSL_x i1 get sub f mul sub put + PSL_yy j PSL_y i get dup PSL_y i1 get sub f mul sub put + PSL_kind j 1 put + /j j 1 add def + /k k 1 add def + } if + } for + dist PSL_cuts k get le + {PSL_xx j PSL_x i get put PSL_yy j PSL_y i get put + PSL_kind j 0 put + /j j 1 add def + } if + } for +} def +/PSL_CT_reversepath +{PSL_xp j get PSL_xp 0 get lt + {0 1 j 2 idiv + { /left exch def + /right j left sub def + /tmp PSL_xp left get def + PSL_xp left PSL_xp right get put + PSL_xp right tmp put + /tmp PSL_yp left get def + PSL_yp left PSL_yp right get put + PSL_yp right tmp put + } for + } if +} def +/PSL_CT_placelabel +{ + PSL_usebox + {PSL_CT_clippath + PSL_fillbox + {V PSL_setboxrgb fill U} if + PSL_drawbox + {PSL_setboxpen S} if N + } if + PSL_settxtrgb PSL_CT_placeline PSL_str k get PSL_gap_x PSL_just PSL_height PSL_pathtext +} def +/PSL_CT_clippath +{ + /H PSL_height 2 div PSL_gap_y add def + /xoff j 1 add array def + /yoff j 1 add array def + /angle 0 def + 0 1 j { + /ii exch def + /x PSL_xp ii get def + /y PSL_yp ii get def + ii 0 eq { + /x1 PSL_xp 1 get def + /y1 PSL_yp 1 get def + /dx x1 x sub def + /dy y1 y sub def + } + { /i1 ii 1 sub def + /x1 PSL_xp i1 get def + /y1 PSL_yp i1 get def + /dx x x1 sub def + /dy y y1 sub def + } ifelse + dx 0.0 ne dy 0.0 ne and + { /angle dy dx atan 90 add def} if + /sina angle sin def + /cosa angle cos def + xoff ii H cosa mul put + yoff ii H sina mul put + } for + PSL_xp 0 get xoff 0 get add PSL_yp 0 get yoff 0 get add M + 1 1 j { + /ii exch def + PSL_xp ii get xoff ii get add PSL_yp ii get yoff ii get add L + } for + j -1 0 { + /ii exch def + PSL_xp ii get xoff ii get sub PSL_yp ii get yoff ii get sub L + } for P +} def +/PSL_CT_drawline +{ + /str 20 string def + PSL_strokeline + {PSL_CT_placeline PSL_setlinepen S} if + /PSL_seg PSL_seg 1 add def + /n 1 def +} def +/PSL_CT_placeline +{PSL_xp 0 get PSL_yp 0 get M + 1 1 j { /ii exch def PSL_xp ii get PSL_yp ii get L} for +} def +/PSL_straight_text_labels +{ + /bits exch def + /PSL_clippath bits 1 and 0 eq def + /PSL_rounded bits 16 and 16 eq def + /PSL_fillbox bits 128 and 128 eq def + /PSL_drawbox bits 256 and 256 eq def + /PSL_m1 PSL_m 1 sub def + /PSL_justx PSL_just 4 mod 1 sub 2 div neg def + /PSL_justy PSL_just 4 idiv PSL_height mul 2 div neg def + /PSL_usebox PSL_fillbox PSL_drawbox or def + PSL_clippath + {PSL_ST_clippath} + {PSL_usebox {PSL_ST_clippath} if + PSL_ST_placelabel + } ifelse +} def +/PSL_ST_placelabel +{PSL_settxtrgb + 0 1 PSL_m1 + { /k exch def + /xp PSL_txt_x k get def + /yp PSL_txt_y k get def + V PSL_txt_x k get PSL_txt_y k get T + PSL_angle k get R + /BoxW PSL_str k get stringwidth pop def + BoxW PSL_justx mul PSL_justy M + PSL_str k get show + U + } for +} def +/PSL_ST_clippath +{PSL_rounded {PSL_ST_clippath_round} {PSL_ST_clippath_rect} ifelse + PSL_usebox + {PSL_fillbox + {V PSL_setboxrgb fill U} if + PSL_drawbox + {PSL_setboxpen S} if N + } + {clip /PSL_clip_on true def + } ifelse + N +} def +/PSL_ST_clippath_rect +{N + /BoxH PSL_height PSL_gap_y 2 mul add def + /DelY BoxH BoxH 0 3 array astore def + PSL_usebox not {clipsave clippath} if + 0 1 PSL_m1 + { /k exch def + /xp PSL_txt_x k get def + /yp PSL_txt_y k get def + /MAT PSL_angle k get matrix R def + /BoxW PSL_str k get stringwidth pop PSL_gap_x 2 mul add def + /x0 0 BoxW PSL_justx mul add def + /y0 0 PSL_justy add PSL_gap_y sub def + /DelX 0 BoxW BoxW 3 array astore def + x0 y0 MAT transform + /dy exch def /dx exch def + xp dx add yp dy add M + 0 1 2 + { + /ii exch def + x0 DelX ii get add y0 DelY ii get add MAT transform + /dy exch def /dx exch def + xp dx add yp dy add L + } for P + } for +} def +/PSL_ST_clippath_round +{N + /PSL_justy2 PSL_just 4 idiv 2 div neg def + /BoxR PSL_gap_x PSL_gap_y lt {PSL_gap_x} {PSL_gap_y} ifelse def + /BoxH PSL_height PSL_gap_y 2 mul add def + /y0 PSL_height PSL_gap_y 2 mul add PSL_justy2 mul def + PSL_usebox not {clipsave clippath} if + 0 1 PSL_m1 + { /k exch def + /xp PSL_txt_x k get def + /yp PSL_txt_y k get def + /BoxW PSL_str k get stringwidth pop PSL_gap_x 2 mul add def + /x0 BoxW PSL_justx mul def + xp yp T PSL_angle k get R x0 y0 T + BoxR 0 M + BoxW 0 BoxW BoxH BoxR arct BoxW BoxH 0 BoxH BoxR arct 0 BoxH 0 0 BoxR arct 0 0 BoxW 0 BoxR arct P + x0 neg y0 neg T PSL_angle k get neg R xp neg yp neg T + } for +} def +/PSL_clip_on false def +%%EndProlog + +%%BeginSetup +/PSLevel /languagelevel where {pop languagelevel} {1} ifelse def +PSLevel 1 gt { << /PageSize [595 842] /ImagingBBox null >> setpagedevice } if +%%EndSetup + +%%Page: 1 1 + +%%BeginPageSetup +0.24 0.24 scale +%%EndPageSetup + +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode 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exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (0.9) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.1) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.3) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.5) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +20 0 M 0 -6 D S +39 0 M 0 -6 D S +59 0 M 0 -6 D S +79 0 M 0 -6 D S +98 0 M 0 -6 D S +118 0 M 0 -6 D S +138 0 M 0 -6 D S +157 0 M 0 -6 D S +177 0 M 0 -6 D S +197 0 M 0 -6 D S +217 0 M 0 -6 D S +236 0 M 0 -6 D S +256 0 M 0 -6 D S +276 0 M 0 -6 D S +295 0 M 0 -6 D S +315 0 M 0 -6 D S +335 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 0 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.6) Z +/PSL_x 39 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.7) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.7) Z +/PSL_x 79 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.8) Z +/PSL_x 118 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.9) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.9) Z +/PSL_x 157 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.0) Z +/PSL_x 197 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.1) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.1) Z +/PSL_x 236 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.2) Z +/PSL_x 276 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.3) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.3) Z +/PSL_x 315 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.5) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.5) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 68.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +690 0 T + +%% PostScript produced 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(121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 65 M 0 PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 323 M 0 PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 581 M 0 PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 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def +/PSL_do_A1 0 def +/PSL_TL1 12 def +/PSL_AO0 24 def +/PSL_AO1 24 def +/PSL_LO 12 def +/PSL_AF0 25 def +/PSL_AF1 67 def +/PSL_LF 21 def +/PSL_AH0 0 def +/PSL_AH1 0 def +0 0 M 21 F0 (M) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_dim_d sub /PSL_LH exch def +0 0 M 354 0 D S +1 W +0 0 M 0 -12 D S +71 0 M 0 -12 D S +142 0 M 0 -12 D S +213 0 M 0 -12 D S +283 0 M 0 -12 D S +354 0 M 0 -12 D S +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_dim_h PSL_AH0 gt {/PSL_AH0 PSL_dim_h def} if +0 0 M 0 -6 D S +35 0 M 0 -6 D S +71 0 M 0 -6 D S +106 0 M 0 -6 D S +142 0 M 0 -6 D S +177 0 M 0 -6 D S +213 0 M 0 -6 D S +248 0 M 0 -6 D S +283 0 M 0 -6 D S +319 0 M 0 -6 D S +354 0 M 0 -6 D S +/PSL_A0_y PSL_AO0 PSL_TL1 PSL_AO0 mul 0 gt {PSL_TL1 add} if PSL_AO0 0 gt {PSL_sign 0 lt {PSL_AH0} {0} ifelse add} if PSL_sign mul def +/PSL_A1_y PSL_A0_y abs PSL_AO1 add PSL_sign 0 lt {PSL_AH1} {PSL_AH0} ifelse add PSL_sign mul def +/PSL_L_y PSL_A1_y abs PSL_LO add PSL_sign 0 lt {PSL_LH} {PSL_AH1} ifelse add PSL_sign mul def +/PSL_x 0 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (0.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (0.8) Z +/PSL_x 71 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.0) Z +/PSL_x 142 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.2) Z +/PSL_x 213 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 283 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.6) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.8) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 68.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +-690 -810 T + +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05WneS -P -K -O -y-2.7i -x-2.3i +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +0 A +1 W +118 0 M +0 -12 D S +118 581 M +0 12 D S +353 0 M +0 -12 D S +353 581 M +0 12 D S +588 0 M +0 -12 D S +588 581 M +0 12 D S +0 65 M +-12 0 D S +600 65 M +12 0 D S +0 323 M +-12 0 D S +600 323 M +12 0 D S +0 581 M +-12 0 D S +600 581 M +12 0 D S +0 0 M 25 F0 (121š24œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +118 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š24œ) Z +0 0 M 25 F0 (121š30œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +353 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š30œ) Z +0 0 M 25 F0 (121š36œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +588 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 65 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 323 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +-35 581 M PSL_dim_w neg PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S +-12 593 M 0 -605 D S +12 W +-6 65 M 0 129 D S +606 65 M 0 129 D S +-6 323 M 0 129 D S +606 323 M 0 129 D S +118 -6 M 117 0 D S +118 587 M 117 0 D S +353 -6 M 118 0 D S +353 587 M 118 0 D S +588 -6 M 12 0 D S +588 587 M 12 0 D S +1 W +0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit + +%% PostScript 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FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.4) Z +/PSL_x 197 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.6) Z +/PSL_x 276 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.8) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.0) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 98.622 T 0 A +PSL_font_encode 0 get 0 eq {ISOLatin1+_Encoding /Helvetica /Helvetica PSL_reencode PSL_font_encode 0 1 put} if +0 setlinecap +0 setlinejoin +3.32551 setmiterlimit +690 0 T + +%% PostScript produced by: +%%GMT: psbasemap -JM2i -R121.35/121.605/24.975/25.2 -Ba0.1f0.05SwnE -P -K -O -x2.3i +%%PROJ: merc 121.35000000 121.60500000 24.97500000 25.20000000 -14193.235 14193.235 2854639.143 2882143.038 +proj=merc +lon_0=121.4775 +k=-1 +x_0=0 +y_0=0 +a=6378137.000 +b=6356752.314245 +0 A +1 W +118 0 M +0 -12 D S +118 581 M +0 12 D S +353 0 M +0 -12 D S +353 581 M +0 12 D S +588 0 M +0 -12 D S +588 581 M +0 12 D S +0 65 M +-12 0 D S +600 65 M +12 0 D S +0 323 M +-12 0 D S +600 323 M +12 0 D S +0 581 M +-12 0 D S +600 581 M +12 0 D S +0 0 M 25 F0 (121š24œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +118 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š24œ) Z +0 0 M 25 F0 (121š30œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +353 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š30œ) Z +0 0 M 25 F0 (121š36œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +588 -35 M PSL_dim_w 2 div neg PSL_dim_h neg G 25 F0 (121š36œ) Z +0 0 M 25 F0 (25š00œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 65 M 0 PSL_dim_h 2 div neg G 25 F0 (25š00œ) Z +0 0 M 25 F0 (25š06œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 323 M 0 PSL_dim_h 2 div neg G 25 F0 (25š06œ) Z +0 0 M 25 F0 (25š12œ) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +635 581 M 0 PSL_dim_h 2 div neg G 25 F0 (25š12œ) Z +-12 0 M 624 0 D S +-12 -12 M 624 0 D S +600 -12 M 0 605 D S +612 -12 M 0 605 D S +612 581 M -624 0 D S +612 593 M -624 0 D S +0 593 M 0 -605 D S 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neg 0 G 25 F0 (1.4) Z +/PSL_x 97 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.6) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.6) Z +/PSL_x 161 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (1.8) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (1.8) Z +/PSL_x 225 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.0) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.0) Z +/PSL_x 290 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.2) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.2) Z +/PSL_x 354 def +PSL_x PSL_A0_y M +currentpoint /PSL_save_y exch def /PSL_save_x exch def +0 0 M 25 F0 (2.4) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +PSL_save_x PSL_save_y M +PSL_dim_w 2 div neg 0 G 25 F0 (2.4) Z +0 0 M 21 F0 (S velocity \(km/s\)) E /PSL_dim_w exch def FP pathbbox N /PSL_dim_h exch def pop /PSL_dim_d exch def pop +177 -72 M PSL_dim_w 2 div neg PSL_dim_h neg G 21 F0 (S velocity \(km/s\)) Z +-122.835 98.622 T 0 A diff --git a/example/lsmr.txt b/example/lsmr.txt new file mode 100644 index 0000000..23c6b73 --- /dev/null +++ b/example/lsmr.txt @@ -0,0 +1,8 @@ + + + Enter LSMR. Least-squares solution of Ax = b + The matrix A has 4109 rows and 2048 columns + damp = 0.00000000000000E+00 + atol = 1.00E-03 conlim = 1.20E+03 + btol = 1.00E-03 itnlim = 1000 + localSize (no. of vectors for local reorthogonalization) = 512 diff --git a/example/plotslicenewVs.gmt b/example/plotslicenewVs.gmt new file mode 100644 index 0000000..8f4ff15 --- /dev/null +++ b/example/plotslicenewVs.gmt @@ -0,0 +1,49 @@ +#!/bin/csh + +#----------------------------------------------------------- +# 2015-06-08 Hongjian Fang +# example:csh plotslicenewVs.gmt DSurfTomo.inMeasure.dat 0.2 0.4 0.8 1.1 +#----------------------------------------------------------- + +gmtset ANOT_FONT_SIZE 6 +gmtset LABEL_FONT_SIZE 6 +gmtset FRAME_WIDTH=0.1c +gmtset LABEL_OFFSET=0.1c +gmtset LABEL_FONT_SIZE=5p +gmtset TICK_LENGTH=0.1c +gmtset TICK_PEN=0.3p +set inp3D = $1 +set ps = horizVs.ps +set J = -JM2i #size for plot +set cpt = slice.cpt + +# start +makecpt -Cseis -T0.6/1.5/0.1 > $cpt #velocity boundary +set RMAP = `minmax -C $inp3D | awk '{print "-R"$1"/"$2"/"$3"/"$4}'` +psbasemap $RMAP $J -Ba0.1f0.05WseN -P -K -Y5i >$ps +awk '{if($3==depth1) print $1,$2,$4}' depth1=$2 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +rm -rf tmp.grd +psscale -Cslice.cpt -Ba0.1f0.05:'S velocity (km/s)': -D1.0i/-0.15i/3.00/0.2h -O -K -P >> $ps + +makecpt -Cseis -T0.8/1.8/0.1 > $cpt #velocity boundary +psbasemap $RMAP $J -Ba0.1f0.05NwsE -P -K -O -X2.3i >>$ps +awk '{if($3==depth2) print $1,$2,$4}' depth2=$3 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +psscale -Cslice.cpt -Ba0.2f0.1:'S velocity (km/s)': -D1.0i/-0.15i/3.00/0.2h -O -K -P >> $ps + +makecpt -Cseis -T1.1/2.0/0.1 > $cpt #velocity boundary +psbasemap $RMAP $J -Ba0.1f0.05WneS -P -K -O -Y-2.7i -X-2.3i >>$ps +awk '{if($3==depth2) print $1,$2,$4}' depth2=$4 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +psscale -Cslice.cpt -Ba0.2f0.1:'S velocity (km/s)': -D1.0i/-0.25i/3.00/0.2h -O -K -P >> $ps + +makecpt -Cseis -T1.3/2.4/0.1 > $cpt #velocity boundary +psbasemap $RMAP $J -Ba0.1f0.05SwnE -P -K -O -X2.3i >>$ps +awk '{if($3==depth2) print $1,$2,$4}' depth2=$5 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +psscale -Cslice.cpt -Ba0.2f0.1:'S velocity (km/s)': -D1.0i/-0.25i/3.00/0.2h -O -P >> $ps + +rm *cpt *grd +ps2eps -f $ps +evince *eps & diff --git a/example/raypath.out b/example/raypath.out new file mode 100644 index 0000000..8c8a36f --- /dev/null +++ b/example/raypath.out @@ -0,0 +1,143212 @@ + # 22 + 25.158531 121.47689 + 25.158175 121.47850 + 25.157820 121.48012 + 25.157473 121.48173 + 25.157122 121.48335 + 25.156727 121.48493 + 25.156330 121.48653 + 25.155874 121.48811 + 25.155415 121.48968 + 25.154869 121.49122 + 25.154472 121.49282 + 25.153975 121.49438 + 25.153469 121.49593 + 25.152969 121.49750 + 25.152452 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121.568640 1.8660 + 25.010056 121.387470 1.6050 +# 25.106000 121.564030 18 2 0 + 25.065750 121.477750 1.2690 + 25.061472 121.431140 1.6130 + 25.034611 121.442190 1.8340 + 25.019000 121.474190 1.8330 + 24.997722 121.442690 1.7760 + 25.010056 121.387470 1.5590 +# 25.065750 121.477750 18 2 0 + 24.999536 121.568640 1.6970 + 25.010056 121.387470 1.3960 +# 25.064800 121.556200 18 2 0 + 25.061472 121.431140 1.4810 + 25.034611 121.442190 1.4690 + 25.019000 121.474190 1.4400 + 24.997722 121.442690 1.4160 + 25.010056 121.387470 1.3280 +# 25.053694 121.515720 18 2 0 + 25.010056 121.387470 1.4580 +# 25.061472 121.431140 18 2 0 + 25.014722 121.510670 1.3390 + 24.999536 121.568640 1.6120 +# 25.034278 121.493670 18 2 0 + 25.010056 121.387470 1.0490 +# 25.034611 121.442190 18 2 0 + 24.999536 121.568640 1.6630 +# 25.019000 121.474190 18 2 0 + 25.010056 121.387470 1.3210 +# 25.014722 121.510670 18 2 0 + 25.010056 121.387470 1.3900 +# 24.997722 121.442690 18 2 0 + 24.999536 121.568640 1.8190 +# 24.999536 121.568640 18 2 0 + 25.010056 121.387470 1.5730 +# 25.148500 121.511100 19 2 0 + 25.083694 121.435220 1.4670 + 25.061472 121.431140 1.4900 + 25.034611 121.442190 1.7660 + 25.019000 121.474190 1.8530 + 25.014722 121.510670 1.9170 + 24.997722 121.442690 1.7440 + 24.999536 121.568640 2.0040 + 25.010056 121.387470 1.5760 +# 25.158529 121.476890 19 2 0 + 25.065750 121.477750 1.4800 + 25.064800 121.556200 1.7390 + 25.053694 121.515720 1.7710 + 25.061472 121.431140 1.3190 + 25.034278 121.493670 1.7070 + 25.034611 121.442190 1.4230 + 25.019000 121.474190 1.6130 + 25.014722 121.510670 1.7670 + 24.997722 121.442690 1.4550 + 24.999536 121.568640 1.7990 + 25.010056 121.387470 1.3530 +# 25.128920 121.417420 19 2 0 + 25.106000 121.564030 1.9710 + 25.064800 121.556200 2.0640 + 25.014722 121.510670 1.7090 + 24.997722 121.442690 1.4880 + 24.999536 121.568640 1.5620 + 25.010056 121.387470 1.3550 +# 25.119850 121.473190 19 2 0 + 25.034611 121.442190 1.3660 + 25.019000 121.474190 1.5930 + 25.014722 121.510670 1.7310 + 24.997722 121.442690 1.4720 + 24.999536 121.568640 1.9650 + 25.010056 121.387470 1.3060 +# 25.090361 121.462250 19 2 0 + 24.997722 121.442690 1.3250 + 24.999536 121.568640 1.8570 + 25.010056 121.387470 1.0080 +# 25.083694 121.435220 19 2 0 + 25.133539 121.499190 1.0020 + 25.106000 121.564030 1.6710 + 25.064800 121.556200 1.5030 + 24.999536 121.568640 1.6330 +# 25.133539 121.499190 19 2 0 + 25.061472 121.431140 1.4090 + 25.034611 121.442190 1.5360 + 25.019000 121.474190 1.7390 + 25.014722 121.510670 1.8400 + 24.997722 121.442690 1.7480 + 24.999536 121.568640 1.8710 + 25.010056 121.387470 1.5160 +# 25.102119 121.515930 19 2 0 + 24.997722 121.442690 1.6840 + 25.010056 121.387470 1.5760 +# 25.106000 121.564030 19 2 0 + 25.065750 121.477750 1.2930 + 25.061472 121.431140 1.6800 + 25.034611 121.442190 1.9020 + 25.019000 121.474190 1.8570 + 24.997722 121.442690 1.8060 + 25.010056 121.387470 1.6450 +# 25.065750 121.477750 19 2 0 + 25.010056 121.387470 1.4450 +# 25.064800 121.556200 19 2 0 + 25.061472 121.431140 1.5060 + 25.034611 121.442190 1.4900 + 24.997722 121.442690 1.4650 + 25.010056 121.387470 1.3610 +# 25.053694 121.515720 19 2 0 + 25.010056 121.387470 1.5000 +# 25.061472 121.431140 19 2 0 + 25.014722 121.510670 1.3650 + 24.999536 121.568640 1.6470 +# 25.034278 121.493670 19 2 0 + 25.010056 121.387470 1.0590 +# 25.034611 121.442190 19 2 0 + 24.999536 121.568640 1.6910 +# 25.014722 121.510670 19 2 0 + 25.010056 121.387470 1.4280 +# 24.997722 121.442690 19 2 0 + 24.999536 121.568640 1.8160 +# 24.999536 121.568640 19 2 0 + 25.010056 121.387470 1.6190 +# 25.148500 121.511100 20 2 0 + 25.061472 121.431140 1.5290 + 25.034611 121.442190 1.7930 + 25.019000 121.474190 1.8790 + 25.014722 121.510670 1.9380 + 24.997722 121.442690 1.7780 + 24.999536 121.568640 2.0250 + 25.010056 121.387470 1.6030 +# 25.158529 121.476890 20 2 0 + 25.064800 121.556200 1.7620 + 25.061472 121.431140 1.3730 + 25.034278 121.493670 1.7330 + 25.034611 121.442190 1.4680 + 25.019000 121.474190 1.6570 + 25.014722 121.510670 1.7710 + 24.997722 121.442690 1.5020 + 24.999536 121.568640 1.8200 + 25.010056 121.387470 1.3900 +# 25.128920 121.417420 20 2 0 + 25.106000 121.564030 1.9750 + 25.064800 121.556200 2.0800 + 25.014722 121.510670 1.7440 + 24.997722 121.442690 1.5140 + 24.999536 121.568640 1.5660 + 25.010056 121.387470 1.3740 +# 25.119850 121.473190 20 2 0 + 25.014722 121.510670 1.6440 + 24.997722 121.442690 1.5010 + 24.999536 121.568640 1.9390 + 25.010056 121.387470 1.3120 +# 25.090361 121.462250 20 2 0 + 24.997722 121.442690 1.3550 + 24.999536 121.568640 1.8690 + 25.010056 121.387470 1.0350 +# 25.083694 121.435220 20 2 0 + 25.133539 121.499190 1.0170 + 25.106000 121.564030 1.7220 + 25.064800 121.556200 1.5380 + 24.999536 121.568640 1.6650 +# 25.133539 121.499190 20 2 0 + 25.061472 121.431140 1.4400 + 25.034611 121.442190 1.6520 + 25.019000 121.474190 1.7700 + 24.997722 121.442690 1.6930 + 24.999536 121.568640 1.8980 + 25.010056 121.387470 1.5560 +# 25.102119 121.515930 20 2 0 + 24.997722 121.442690 1.7100 + 25.010056 121.387470 1.5740 +# 25.106000 121.564030 20 2 0 + 25.065750 121.477750 1.3200 + 25.061472 121.431140 1.7360 + 25.034611 121.442190 1.9400 + 24.997722 121.442690 1.8360 + 25.010056 121.387470 1.6890 +# 25.065750 121.477750 20 2 0 + 25.010056 121.387470 1.4800 +# 25.064800 121.556200 20 2 0 + 25.061472 121.431140 1.5310 + 25.034611 121.442190 1.5140 + 24.997722 121.442690 1.5300 + 25.010056 121.387470 1.3990 +# 25.053694 121.515720 20 2 0 + 25.010056 121.387470 1.5390 +# 25.061472 121.431140 20 2 0 + 24.999536 121.568640 1.6830 +# 25.034278 121.493670 20 2 0 + 25.010056 121.387470 1.0690 +# 25.034611 121.442190 20 2 0 + 24.999536 121.568640 1.7180 +# 25.014722 121.510670 20 2 0 + 25.010056 121.387470 1.4610 +# 24.999536 121.568640 20 2 0 + 25.010056 121.387470 1.6380 +# 25.148500 121.511100 21 2 0 + 25.061472 121.431140 1.5640 + 25.034611 121.442190 1.8160 + 25.019000 121.474190 1.9020 + 25.014722 121.510670 1.9610 + 24.997722 121.442690 1.8140 + 24.999536 121.568640 2.0400 + 25.010056 121.387470 1.6420 +# 25.158529 121.476890 21 2 0 + 25.061472 121.431140 1.4150 + 25.034278 121.493670 1.7590 + 25.034611 121.442190 1.5170 + 25.019000 121.474190 1.6960 + 25.014722 121.510670 1.7600 + 24.997722 121.442690 1.5520 + 24.999536 121.568640 1.8470 + 25.010056 121.387470 1.4260 +# 25.128920 121.417420 21 2 0 + 25.106000 121.564030 1.9920 + 25.064800 121.556200 2.0840 + 25.014722 121.510670 1.7790 + 24.997722 121.442690 1.5290 + 24.999536 121.568640 1.5310 + 25.010056 121.387470 1.4030 +# 25.119850 121.473190 21 2 0 + 25.014722 121.510670 1.6280 + 24.997722 121.442690 1.5410 + 24.999536 121.568640 1.8830 + 25.010056 121.387470 1.3400 +# 25.090361 121.462250 21 2 0 + 24.997722 121.442690 1.3830 + 24.999536 121.568640 1.8640 + 25.010056 121.387470 1.1180 +# 25.083694 121.435220 21 2 0 + 25.133539 121.499190 1.0280 + 25.064800 121.556200 1.5530 + 24.999536 121.568640 1.6960 +# 25.133539 121.499190 21 2 0 + 24.997722 121.442690 1.7050 + 24.999536 121.568640 1.9240 + 25.010056 121.387470 1.6000 +# 25.102119 121.515930 21 2 0 + 24.997722 121.442690 1.7320 + 25.010056 121.387470 1.6020 +# 25.106000 121.564030 21 2 0 + 25.061472 121.431140 1.7760 + 24.997722 121.442690 1.8640 + 25.010056 121.387470 1.7310 +# 25.064800 121.556200 21 2 0 + 25.061472 121.431140 1.5570 + 25.034611 121.442190 1.5480 + 24.997722 121.442690 1.5900 + 25.010056 121.387470 1.4390 +# 25.053694 121.515720 21 2 0 + 25.010056 121.387470 1.5710 +# 25.061472 121.431140 21 2 0 + 24.999536 121.568640 1.7140 +# 25.034278 121.493670 21 2 0 + 25.010056 121.387470 1.0780 +# 25.034611 121.442190 21 2 0 + 24.999536 121.568640 1.7430 +# 25.014722 121.510670 21 2 0 + 25.010056 121.387470 1.4880 +# 24.999536 121.568640 21 2 0 + 25.010056 121.387470 1.6570 +# 25.148500 121.511100 22 2 0 + 25.061472 121.431140 1.5970 + 25.034611 121.442190 1.8370 + 24.997722 121.442690 1.8470 + 24.999536 121.568640 2.0570 + 25.010056 121.387470 1.6820 +# 25.158529 121.476890 22 2 0 + 25.061472 121.431140 1.4520 + 25.034278 121.493670 1.7840 + 25.034611 121.442190 1.5570 + 25.019000 121.474190 1.7300 + 25.014722 121.510670 1.7780 + 24.997722 121.442690 1.5990 + 24.999536 121.568640 1.8790 + 25.010056 121.387470 1.4630 +# 25.128920 121.417420 22 2 0 + 25.014722 121.510670 1.8130 + 24.997722 121.442690 1.5420 + 24.999536 121.568640 1.5020 + 25.010056 121.387470 1.4820 +# 25.119850 121.473190 22 2 0 + 24.997722 121.442690 1.5860 + 24.999536 121.568640 1.8910 + 25.010056 121.387470 1.3890 +# 25.090361 121.462250 22 2 0 + 24.999536 121.568640 1.8530 + 25.010056 121.387470 1.1810 +# 25.083694 121.435220 22 2 0 + 25.133539 121.499190 1.0330 + 25.064800 121.556200 1.5650 + 24.999536 121.568640 1.7240 +# 25.133539 121.499190 22 2 0 + 24.997722 121.442690 1.7460 + 24.999536 121.568640 1.9500 + 25.010056 121.387470 1.6430 +# 25.102119 121.515930 22 2 0 + 24.997722 121.442690 1.7480 + 25.010056 121.387470 1.6440 +# 25.106000 121.564030 22 2 0 + 25.061472 121.431140 1.7670 + 24.997722 121.442690 1.8870 + 25.010056 121.387470 1.7720 +# 25.064800 121.556200 22 2 0 + 25.061472 121.431140 1.5820 + 24.997722 121.442690 1.6350 + 25.010056 121.387470 1.4830 +# 25.053694 121.515720 22 2 0 + 25.010056 121.387470 1.5960 +# 25.061472 121.431140 22 2 0 + 24.999536 121.568640 1.7400 +# 25.034278 121.493670 22 2 0 + 25.010056 121.387470 1.0870 +# 25.014722 121.510670 22 2 0 + 25.010056 121.387470 1.5150 +# 24.999536 121.568640 22 2 0 + 25.010056 121.387470 1.6880 +# 25.148500 121.511100 23 2 0 + 24.997722 121.442690 1.8760 + 24.999536 121.568640 2.0750 + 25.010056 121.387470 1.7150 +# 25.158529 121.476890 23 2 0 + 25.034611 121.442190 1.5900 + 25.019000 121.474190 1.7460 + 25.014722 121.510670 1.8070 + 24.997722 121.442690 1.6430 + 24.999536 121.568640 1.9150 + 25.010056 121.387470 1.5060 +# 25.128920 121.417420 23 2 0 + 25.014722 121.510670 1.8440 + 24.997722 121.442690 1.5540 + 24.999536 121.568640 1.5040 + 25.010056 121.387470 1.5600 +# 25.119850 121.473190 23 2 0 + 24.997722 121.442690 1.6270 + 24.999536 121.568640 1.9110 + 25.010056 121.387470 1.5010 +# 25.090361 121.462250 23 2 0 + 25.010056 121.387470 1.2760 +# 25.083694 121.435220 23 2 0 + 25.133539 121.499190 1.0350 + 24.999536 121.568640 1.7500 +# 25.133539 121.499190 23 2 0 + 24.997722 121.442690 1.7830 + 24.999536 121.568640 1.9760 + 25.010056 121.387470 1.6520 +# 25.102119 121.515930 23 2 0 + 25.010056 121.387470 1.6910 +# 25.106000 121.564030 23 2 0 + 25.061472 121.431140 1.7380 + 24.997722 121.442690 1.9060 + 25.010056 121.387470 1.8100 +# 25.064800 121.556200 23 2 0 + 24.997722 121.442690 1.6720 + 25.010056 121.387470 1.5480 +# 25.053694 121.515720 23 2 0 + 25.010056 121.387470 1.6130 +# 25.061472 121.431140 23 2 0 + 24.999536 121.568640 1.7570 +# 25.034278 121.493670 23 2 0 + 25.010056 121.387470 1.0950 +# 24.999536 121.568640 23 2 0 + 25.010056 121.387470 1.7450 +# 25.148500 121.511100 24 2 0 + 24.997722 121.442690 1.9010 + 25.010056 121.387470 1.7410 +# 25.158529 121.476890 24 2 0 + 25.034611 121.442190 1.6190 + 25.019000 121.474190 1.7180 + 25.014722 121.510670 1.8400 + 24.997722 121.442690 1.6830 + 24.999536 121.568640 1.9540 + 25.010056 121.387470 1.5530 +# 25.128920 121.417420 24 2 0 + 25.014722 121.510670 1.8730 + 24.997722 121.442690 1.5670 + 24.999536 121.568640 1.5130 + 25.010056 121.387470 1.5950 +# 25.119850 121.473190 24 2 0 + 24.999536 121.568640 1.9340 + 25.010056 121.387470 1.5730 +# 25.090361 121.462250 24 2 0 + 25.010056 121.387470 1.3740 +# 25.083694 121.435220 24 2 0 + 24.999536 121.568640 1.7730 +# 25.133539 121.499190 24 2 0 + 24.997722 121.442690 1.8140 + 25.010056 121.387470 1.6700 +# 25.102119 121.515930 24 2 0 + 25.010056 121.387470 1.7290 +# 25.106000 121.564030 24 2 0 + 24.997722 121.442690 1.9210 + 25.010056 121.387470 1.8430 +# 25.064800 121.556200 24 2 0 + 25.010056 121.387470 1.6190 +# 25.053694 121.515720 24 2 0 + 25.010056 121.387470 1.6230 +# 25.061472 121.431140 24 2 0 + 24.999536 121.568640 1.7670 +# 25.034278 121.493670 24 2 0 + 25.010056 121.387470 1.1020 +# 24.999536 121.568640 24 2 0 + 25.010056 121.387470 1.8010 +# 25.148500 121.511100 25 2 0 + 24.997722 121.442690 1.9220 + 25.010056 121.387470 1.7640 +# 25.158529 121.476890 25 2 0 + 25.019000 121.474190 1.6950 + 25.014722 121.510670 1.8740 + 24.997722 121.442690 1.7200 + 24.999536 121.568640 1.9920 + 25.010056 121.387470 1.5960 +# 25.128920 121.417420 25 2 0 + 24.997722 121.442690 1.5820 + 24.999536 121.568640 1.5300 +# 25.119850 121.473190 25 2 0 + 25.010056 121.387470 1.6160 +# 25.083694 121.435220 25 2 0 + 24.999536 121.568640 1.7940 +# 25.133539 121.499190 25 2 0 + 24.997722 121.442690 1.8420 + 25.010056 121.387470 1.7040 +# 25.102119 121.515930 25 2 0 + 25.010056 121.387470 1.7600 +# 25.106000 121.564030 25 2 0 + 24.997722 121.442690 1.9350 + 25.010056 121.387470 1.8700 +# 25.064800 121.556200 25 2 0 + 25.010056 121.387470 1.6640 +# 25.061472 121.431140 25 2 0 + 24.999536 121.568640 1.7750 +# 25.034278 121.493670 25 2 0 + 25.010056 121.387470 1.1080 +# 24.999536 121.568640 25 2 0 + 25.010056 121.387470 1.8390 +# 25.148500 121.511100 26 2 0 + 24.997722 121.442690 1.9420 + 25.010056 121.387470 1.7860 +# 25.158529 121.476890 26 2 0 + 25.019000 121.474190 1.7070 + 24.997722 121.442690 1.7520 + 24.999536 121.568640 2.0280 + 25.010056 121.387470 1.6350 +# 25.128920 121.417420 26 2 0 + 24.997722 121.442690 1.5980 + 24.999536 121.568640 1.5680 +# 25.119850 121.473190 26 2 0 + 25.010056 121.387470 1.6460 +# 25.083694 121.435220 26 2 0 + 24.999536 121.568640 1.8140 +# 25.133539 121.499190 26 2 0 + 25.010056 121.387470 1.7390 +# 25.102119 121.515930 26 2 0 + 25.010056 121.387470 1.7850 +# 25.106000 121.564030 26 2 0 + 25.010056 121.387470 1.8950 +# 25.064800 121.556200 26 2 0 + 25.010056 121.387470 1.6950 +# 25.034278 121.493670 26 2 0 + 25.010056 121.387470 1.1140 +# 24.999536 121.568640 26 2 0 + 25.010056 121.387470 1.8650 diff --git a/scripts/GenerateIniMOD.py b/scripts/GenerateIniMOD.py new file mode 100644 index 0000000..086af97 --- /dev/null +++ b/scripts/GenerateIniMOD.py @@ -0,0 +1,32 @@ +#!/usr/bin/env python +# how to run: +# ./GenerateIniMOD.py +# remember to move MOD to the directory where you want to run DSurfTomo +import numpy as np + +#parameters need to be changed +#start +nx=18 +ny=18 +nz=9 +minvel=0.9 +velgrad=0.6 +dep1=np.array([0,0.2,0.4,0.6,0.8,1.1,1.4,1.8,2.5]) +#end +vs1=np.zeros(nz) +mod=np.zeros((nz*ny,nx)) +for k in range(nz): + for j in range(ny): + for i in range(nx): + mod[k*ny+j,i]= minvel+dep1[k]*velgrad +with open('MOD','w') as fp: + for i in range(nz): + fp.write('%5.1f' % dep1[i]) + fp.write('\n') + for k in range(nz): + for j in range(ny): + for i in range(nx): + fp.write('%7.3f' % mod[k*ny+j,i]) + fp.write('\n') +for i in range(nz): + print dep1[i], diff --git a/scripts/GenerateTrueMOD.py b/scripts/GenerateTrueMOD.py new file mode 100644 index 0000000..a0c0ea1 --- /dev/null +++ b/scripts/GenerateTrueMOD.py @@ -0,0 +1,42 @@ +#!/usr/bin/env python +# the checkerboard should use the initial model as background model, then add +# some pertubations +# remember to move MOD.true to the directory where you want to run DSurfTomo +import numpy as np +import matplotlib.pyplot as plt +#parameters you need to change +#start +nx=18 +ny=18 +nz=9 +minvel=0.9 +velgrad=0.6 +dep1=[0,0.2,0.4,0.6,0.8,1.1,1.4,1.8,2.5] +anosize=1.0 +amplitude=0.4 +#end +x=range(1,nx+1) +y=range(1,ny+1) +z=range(1,nz+1) +z=np.ones(nz) +bg=np.zeros((nz,nx,ny)) +cross=np.zeros((nz,ny)) +vs1=np.zeros(nz) +xy=np.kron(np.sin(anosize*np.array(y)),np.sin(anosize*np.array(x))) +xyz=np.kron(z,xy) +pxy=xyz.reshape(nz,nx,ny) +for k in range(nz): + for j in range(ny): + for i in range(nx): + bg[k,i,j]= minvel+dep1[k]*velgrad +mod=np.zeros((nz*ny,nx)) +for k in range(nz): + for j in range(ny): + for i in range(nx): + mod[(k)*ny+j,i]=bg[k,i,j]+pxy[k,i,j]*amplitude +k=5 +plt.imshow(mod[k*ny:(k+1)*ny,:],cmap='jet_r',interpolation='bicubic') +np.savetxt('MOD.true',mod,fmt='%4.4f') +plt.colorbar() +plt.show() + diff --git a/scripts/extractnew.py b/scripts/extractnew.py new file mode 100644 index 0000000..baf78b5 --- /dev/null +++ b/scripts/extractnew.py @@ -0,0 +1,93 @@ +#!/usr/bin/env python + +# a python script to extract data for the direct inversion of +# surface wave dispersion measurements +# By Hongjian Fang @ USTC(fanghj@mail.ustc.edu.cn) 2014/04/24 +# the data format is +# # sta1_lat sta1_lon nt iwave igr +# sta2_lat sta2_lon phase/group velocity +# ...... +import os +import numpy as np +'''how to use it? +python extractSurfTomo.py > surfdata.dat +remember to read note.txt after this +and move surfdata.dat to the directory where you want to run DSurfTomo +''' + +# parameters need to change according to your case +# start +nsrc=20 +nrc=20 +nf=26 +MinP=0.5 +MaxP=3.0 +interval=0.1 +wavetp=2 +veltp=0 +d = {} +d['TB01']=1 +d['TB02']=2 +d['TB03']=3 +d['TB04']=4 +d['TB05']=5 +d['TB06']=6 +d['TB07']=7 +d['TB08']=8 +d['TB09']=9 +d['TB10']=10 +d['TB11']=11 +d['TB12']=12 +d['TB13']=13 +d['TB14']=14 +d['TB15']=15 +d['TB16']=16 +d['TB17']=17 +d['TB18']=18 +d['TB19']=19 +d['TB20']=20 +#end + +phav=np.zeros((nrc,nsrc,nf)) +sta1la=np.zeros((nrc,nsrc,nf)) +sta1lo=np.zeros((nrc,nsrc,nf)) +sta2la=np.zeros((nrc,nsrc,nf)) +sta2lo=np.zeros((nrc,nsrc,nf)) +for file in os.listdir('.'): + if 'CD' in file: + data=np.loadtxt(file) + shape=data.shape +# you may need to change the following 2 lines depend on your file name + source=file.split('-')[0].split('.')[1] + receiver=file.split('-')[1].split('.')[0] + for i in range(2,shape[0]): + if data[i,0]>=MinP and data[i,0]<=MaxP: + f=np.int(np.rint((data[i,0]-MinP)/interval+1)) + rc=d[receiver]-1 + src=d[source]-1 + phav[rc,src,f-1]=data[i,1] + sta1la[rc,src,f-1]=data[0,1] + sta1lo[rc,src,f-1]=data[0,0] + sta2la[rc,src,f-1]=data[1,1] + sta2lo[rc,src,f-1]=data[1,0] + +srclat=-999.9 +per=-999 +nsrcout=0 + +for ifr in range(nf): + for isrc in range(nsrc): + for irc in range(nrc): + if phav[irc,isrc,ifr]>0: + if np.abs(sta1la[irc,isrc,ifr]-srclat)>1e-4 or abs(ifr+1-per)>1e-4: + nsrcout=nsrcout+1 + print ('%s %10.6f %10.6f %d %d %d') % ('#',sta1la[irc,isrc,ifr],sta1lo[irc,isrc,ifr],ifr+1,wavetp,veltp) + print ('%10.6f %10.6f %6.4f') % (sta2la[irc,isrc,ifr],sta2lo[irc,isrc,ifr],phav[irc,isrc,ifr]) + else: + print ('%10.6f %10.6f %6.4f') % (sta2la[irc,isrc,ifr],sta2lo[irc,isrc,ifr],phav[irc,isrc,ifr]) + srclat=sta1la[irc,isrc,ifr] + per=ifr+1 +note=open('note.txt','w+') +note.write('write this number to the eighth line in DSurfTomo.in\n') +note.write(str(nsrcout)) +note.close() diff --git a/scripts/plotslice.gmt b/scripts/plotslice.gmt new file mode 100644 index 0000000..ac31964 --- /dev/null +++ b/scripts/plotslice.gmt @@ -0,0 +1,48 @@ +#!/bin/csh + +#----------------------------------------------------------- +# 2015-06-08 Hongjian Fang +# how to run: +# ./plotslice.gmt ModelFile depth1 depth2 depth3 depth4, e.g. +# csh plotslice.gmt SurfTomo.in.tvMeasure.dat 0.2 0.4 0.8 1.4 +#----------------------------------------------------------- + +gmtset ANOT_FONT_SIZE 6 +gmtset LABEL_FONT_SIZE 6 +gmtset FRAME_WIDTH=0.1c +gmtset LABEL_OFFSET=0.1c +gmtset LABEL_FONT_SIZE=5p +gmtset TICK_LENGTH=0.1c +gmtset TICK_PEN=0.3p +set inp3D = $1 +set ps = horizVsnew.ps +set J = -JM2i #size for plot +set cpt = slice.cpt + +# start +makecpt -Cseis -T0.6/1.5/0.1 > $cpt #velocity boundary +set RMAP = `minmax -C $inp3D | awk '{print "-R"$1"/"$2"/"$3"/"$4}'` +psbasemap $RMAP $J -Ba0.1f0.05WseN -P -K -Y5i >$ps +awk '{if($3==depth1) print $1,$2,$4}' depth1=$2 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +rm -rf tmp.grd +psscale -Cslice.cpt -Ba0.1f0.05:'S velocity (km/s)': -D1.0i/-0.15i/3.00/0.2h -O -K -P >> $ps + +makecpt -Cseis -T0.8/1.8/0.1 > $cpt #velocity boundary +psbasemap $RMAP $J -Ba0.1f0.05NwsE -P -K -O -X2.3i >>$ps +awk '{if($3==depth2) print $1,$2,$4}' depth2=$3 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +psscale -Cslice.cpt -Ba0.2f0.1:'S velocity (km/s)': -D1.0i/-0.15i/3.00/0.2h -O -K -P >> $ps + +makecpt -Cseis -T1.1/2.0/0.1 > $cpt #velocity boundary +psbasemap $RMAP $J -Ba0.1f0.05WneS -P -K -O -Y-2.7i -X-2.3i >>$ps +awk '{if($3==depth2) print $1,$2,$4}' depth2=$4 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +psscale -Cslice.cpt -Ba0.2f0.1:'S velocity (km/s)': -D1.0i/-0.25i/3.00/0.2h -O -K -P >> $ps + +makecpt -Cseis -T1.3/2.4/0.1 > $cpt #velocity boundary +psbasemap $RMAP $J -Ba0.1f0.05SwnE -P -K -O -X2.3i >>$ps +awk '{if($3==depth2) print $1,$2,$4}' depth2=$5 $inp3D|xyz2grd -R -I0.017/0.015 -Gtmp.grd +grdimage tmp.grd $J $RMAP -BSenW -E100 -C$cpt -O -K >> $ps +psscale -Cslice.cpt -Ba0.2f0.1:'S velocity (km/s)': -D1.0i/-0.25i/3.00/0.2h -O -P >> $ps + diff --git a/srcsmooth/CalSurfG.f90 b/srcsmooth/CalSurfG.f90 new file mode 100644 index 0000000..aac7efc --- /dev/null +++ b/srcsmooth/CalSurfG.f90 @@ -0,0 +1,2835 @@ + subroutine depthkernel(nx,ny,nz,vel,pvRc,sen_vsRc,sen_vpRc,sen_rhoRc, & + iwave,igr,kmaxRc,tRc,depz,minthk) + use omp_lib + implicit none + + integer nx,ny,nz + real vel(nx,ny,nz) + real*8 sen_vpRc(ny*nx,kmaxRc,nz),sen_vsRc(ny*nx,kmaxRc,nz),sen_rhoRc(ny*nx,kmaxRc,nz) + + integer iwave,igr + real minthk + real depz(nz) + integer kmaxRc + real*8 tRc(kmaxRc) + real*8 pvRc(nx*ny,kmaxRc) + + + + real vpz(nz),vsz(nz),rhoz(nz) + real*8 dlncg_dlnvs(kmaxRc,nz),dlncg_dlnvp(kmaxRc,nz),dlncg_dlnrho(kmaxRc,nz) + integer mmax,iflsph,mode,rmax + integer ii,jj,k,i,nn,kk + integer,parameter::NL=200 + integer,parameter::NP=60 + real*8 cg1(NP),cg2(NP),cga,cgRc(NP) + real rdep(NL),rvp(NL),rvs(NL),rrho(NL),rthk(NL) + real depm(NL),vpm(NL),vsm(NL),rhom(NL),thkm(NL) + real dlnVs,dlnVp,dlnrho + + + mmax=nz + iflsph=1 + mode=1 + dlnVs=0.01 + dlnVp=0.01 + dlnrho=0.01 + + !print*,'depth kernel begin...' +!$omp parallel & +!$omp default(private) & +!$omp shared(depz,nx,ny,nz,minthk,dlnvs,dlnvp,dlnrho,kmaxRc,mmax,vel) & +!$omp shared(sen_vpRc,sen_vsRc,sen_rhoRc,tRc,pvRc,iflsph,iwave,mode,igr) +!$omp do + do jj=1,ny + do ii=1,nx + vsz(1:nz)=vel(ii,jj,1:nz) + ! some other emperical relationship maybe better, + do k=1,nz + vpz(k)=0.9409 + 2.0947*vsz(k) - 0.8206*vsz(k)**2+ & + 0.2683*vsz(k)**3 - 0.0251*vsz(k)**4 + rhoz(k)=1.6612*vpz(k) - 0.4721*vpz(k)**2 + & + 0.0671*vpz(k)**3 - 0.0043*vpz(k)**4 + & + 0.000106*vpz(k)**5 + enddo + + call refineGrid2LayerMdl(minthk,mmax,depz,vpz,vsz,rhoz,rmax,rdep,& + rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,igr,kmaxRc,& + tRc,cgRc) + pvRc((jj-1)*nx+ii,1:kmaxRc)=cgRc(1:kmaxRc) + !print*,cgRc(1:kmaxRc) + do kk=1,mmax-1 + depm(kk)=depz(kk) + vsm(kk) = vsz(kk) + vpm(kk) = vpz(kk) + thkm(kk) = depz(kk+1)-depz(kk) + rhom(kk) = rhoz(kk) + enddo + !!half space + vsm(mmax) = vsz(mmax) + vpm(mmax) = vpz(mmax) + rhom(mmax) = rhoz(mmax) + thkm(mmax) = 0.0 + !! calculate sensitivity kernel + do i = 1, mmax + vsm(i) = vsz(i) - 0.5*dlnVs*vsz(i) + call refineGrid2LayerMdl(minthk,mmax,depm,vpm,vsm,rhom,& + rmax,rdep,rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,& + igr,kmaxRc,tRc,cg1) + + vsm(i) = vsz(i) + 0.5*dlnVs*vsz(i) + call refineGrid2LayerMdl(minthk,mmax,depm,vpm,vsm,rhom,& + rmax,rdep,rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,& + igr,kmaxRc,tRc,cg2) + vsm(i) = vsz(i) + + do nn = 1,kmaxRc + cga = 0.5*(cg1(nn)+cg2(nn)) + dlncg_dlnvs(nn,i) = (cg2(nn)-cg1(nn))/cga/dlnVs + enddo + + + vpm(i) = vpz(i) - 0.5*dlnVp*vpz(i) + call refineGrid2LayerMdl(minthk,mmax,depm,vpm,vsm,rhom,& + rmax,rdep,rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,& + igr,kmaxRc,tRc,cg1) + + vpm(i) = vpz(i) + 0.5*dlnVp*vpz(i) + call refineGrid2LayerMdl(minthk,mmax,depm,vpm,vsm,rhom,& + rmax,rdep,rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,& + igr,kmaxRc,tRc,cg2) + vpm(i) = vpz(i) + + do nn = 1,kmaxRc + cga = 0.5*(cg1(nn)+cg2(nn)) + dlncg_dlnvp(nn,i) = (cg2(nn)-cg1(nn))/cga/dlnVp + enddo + rhom(i) = rhoz(i) - 0.5*dlnrho*rhoz(i) + call refineGrid2LayerMdl(minthk,mmax,depm,vpm,vsm,rhom,& + rmax,rdep,rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,& + igr,kmaxRc,tRc,cg1) + + rhom(i) = rhoz(i) + 0.5*dlnrho*rhoz(i) + call refineGrid2LayerMdl(minthk,mmax,depm,vpm,vsm,rhom,& + rmax,rdep,rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,& + igr,kmaxRc,tRc,cg2) + rhom(i) = rhoz(i) + + do nn = 1,kmaxRc + cga = 0.5*(cg1(nn)+cg2(nn)) + dlncg_dlnrho(nn,i) = (cg2(nn)-cg1(nn))/cga/dlnrho + enddo + enddo + sen_vsRc((jj-1)*nx+ii,1:kmaxRc,1:mmax)=dlncg_dlnvs(1:kmaxRc,1:mmax) + sen_vpRc((jj-1)*nx+ii,1:kmaxRc,1:mmax)=dlncg_dlnvp(1:kmaxRc,1:mmax) + sen_rhoRc((jj-1)*nx+ii,1:kmaxRc,1:mmax)=dlncg_dlnrho(1:kmaxRc,1:mmax) + ! print*,dlncg_dlnvp(1:kmaxRc,5) + enddo + enddo +!$omp end do +!$omp end parallel + end subroutine depthkernel + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: MODULE +! CODE: FORTRAN 90 +! This module declares variable for global use, that is, for +! USE in any subroutine or function or other module. +! Variables whose values are SAVEd can have their most +! recent values reused in any routine. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +MODULE globalp +IMPLICIT NONE +INTEGER, PARAMETER :: i10=SELECTED_REAL_KIND(6) +INTEGER :: checkstat +INTEGER, SAVE :: nvx,nvz,nnx,nnz,fom,gdx,gdz +INTEGER, SAVE :: vnl,vnr,vnt,vnb,nrnx,nrnz,sgdl,rbint +INTEGER, SAVE :: nnxr,nnzr,asgr +INTEGER, DIMENSION (:,:), ALLOCATABLE :: nsts,nstsr,srs +REAL(KIND=i10), SAVE :: gox,goz,dnx,dnz,dvx,dvz,snb,earth +REAL(KIND=i10), SAVE :: goxd,gozd,dvxd,dvzd,dnxd,dnzd +REAL(KIND=i10), SAVE :: drnx,drnz,gorx,gorz +REAL(KIND=i10), SAVE :: dnxr,dnzr,goxr,gozr +REAL(KIND=i10), DIMENSION (:,:), ALLOCATABLE, SAVE :: velv,veln,velnb +REAL(KIND=i10), DIMENSION (:,:), ALLOCATABLE, SAVE :: ttn,ttnr +!REAL(KIND=i10), DIMENSION (:), ALLOCATABLE, SAVE :: rcx,rcz +REAL(KIND=i10), PARAMETER :: pi=3.1415926535898 +!!!-------------------------------------------------------------- +!! modified by Hongjian Fang @ USTC +! real,dimension(:),allocatable,save::rw +! integer,dimension(:),allocatable,save::iw,col +! real,dimension(:,:,:),allocatable::vpf,vsf +! real,dimension(:),allocatable,save::obst,cbst,wt,dtres +!! integer,dimension(:),allocatable,save::cbst_stat +! real,dimension(:,:,:),allocatable,save::sen_vs,sen_vp,sen_rho +!!! real,dimension(:,:,:),allocatable,save::sen_vsRc,sen_vpRc,sen_rhoRc +!!! real,dimension(:,:,:),allocatable,save::sen_vsRg,sen_vpRg,sen_rhoRg +!!! real,dimension(:,:,:),allocatable,save::sen_vsLc,sen_vpLc,sen_rhoLc +!!! real,dimension(:,:,:),allocatable,save::sen_vsLg,sen_vpLg,sen_rhoLg +!!! integer,save:: count1,count2 +! integer*8,save:: nar +! integer,save:: iter,maxiter +!!!-------------------------------------------------------------- +! +! nvx,nvz = B-spline vertex values +! dvx,dvz = B-spline vertex separation +! velv(i,j) = velocity values at control points +! nnx,nnz = Number of nodes of grid in x and z +! nnxr,nnzr = Number of nodes of refined grid in x and z +! gox,goz = Origin of grid (theta,phi) +! goxr, gozr = Origin of refined grid (theta,phi) +! dnx,dnz = Node separation of grid in x and z +! dnxr,dnzr = Node separation of refined grid in x and z +! veln(i,j) = velocity values on a refined grid of nodes +! velnb(i,j) = Backup of veln required for source grid refinement +! ttn(i,j) = traveltime field on the refined grid of nodes +! ttnr(i,j) = ttn for refined grid +! nsts(i,j) = node status (-1=far,0=alive,>0=close) +! nstsr(i,j) = nsts for refined grid +! checkstat = check status of memory allocation +! fom = use first-order(0) or mixed-order(1) scheme +! snb = Maximum size of narrow band as fraction of nnx*nnz +! nrc = number of receivers +! rcx(i),rcz(i) = (x,z) coordinates of receivers +! earth = radius of Earth (in km) +! goxd,gozd = gox,goz in degrees +! dvxd,dvzd = dvx,dvz in degrees +! dnzd,dnzd = dnx,dnz in degrees +! gdx,gdz = grid dicing in x and z +! vnl,vnr,vnb,vnt = Bounds of refined grid +! nrnx,nrnz = Number of nodes in x and z for refined grid +! gorx,gorz = Grid origin of refined grid +! sgdl = Source grid dicing level +! rbint = Ray-boundary intersection (0=no, 1=yes). +! asgr = Apply source grid refinement (0=no,1=yes) +! srs = Source-receiver status (0=no path, 1=path exists) +! +END MODULE globalp + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: MODULE +! CODE: FORTRAN 90 +! This module contains all the subroutines used to calculate +! the first-arrival traveltime field through the grid. +! Subroutines are: +! (1) travel +! (2) fouds1 +! (3) fouds2 +! (4) addtree +! (5) downtree +! (6) updtree +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +MODULE traveltime +USE globalp +IMPLICIT NONE +INTEGER ntr +TYPE backpointer + INTEGER(KIND=2) :: px,pz +END TYPE backpointer +TYPE(backpointer), DIMENSION (:), ALLOCATABLE :: btg +! +! btg = backpointer to relate grid nodes to binary tree entries +! px = grid-point in x +! pz = grid-point in z +! ntr = number of entries in binary tree +! + +CONTAINS + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine is passed the location of a source, and from +! this point the first-arrival traveltime field through the +! velocity grid is determined. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE travel(scx,scz,urg) +IMPLICIT NONE +INTEGER :: isx,isz,sw,i,j,ix,iz,urg,swrg +REAL(KIND=i10) :: scx,scz,vsrc,dsx,dsz,ds +REAL(KIND=i10), DIMENSION (2,2) :: vss +! isx,isz = grid cell indices (i,j,k) which contains source +! scx,scz = (r,x,y) location of source +! sw = a switch (0=off,1=on) +! ix,iz = j,k position of "close" point with minimum traveltime +! maxbt = maximum size of narrow band binary tree +! rd2,rd3 = substitution variables +! vsrc = velocity at source +! vss = velocity at nodes surrounding source +! dsx, dsz = distance from source to cell boundary in x and z +! ds = distance from source to nearby node +! urg = use refined grid (0=no,1=yes,2=previously used) +! swrg = switch to end refined source grid computation +! +! The first step is to find out where the source resides +! in the grid of nodes. The cell in which it resides is +! identified by the "north-west" node of the cell. If the +! source lies on the edge or corner (a node) of the cell, then +! this scheme still applies. +! +isx=INT((scx-gox)/dnx)+1 +isz=INT((scz-goz)/dnz)+1 +sw=0 +IF(isx.lt.1.or.isx.gt.nnx)sw=1 +IF(isz.lt.1.or.isz.gt.nnz)sw=1 +IF(sw.eq.1)then + isx=90.0-isx*180.0/pi + isz=isz*180.0/pi + WRITE(6,*)"Source lies outside bounds of model (lat,long)= ",isx,isz + WRITE(6,*)"TERMINATING PROGRAM!!!" + STOP +ENDIF +IF(isx.eq.nnx)isx=isx-1 +IF(isz.eq.nnz)isz=isz-1 +! +! Set all values of nsts to -1 if beginning from a source +! point. +! +IF(urg.NE.2)nsts=-1 +! +! set initial size of binary tree to zero +! +ntr=0 +IF(urg.EQ.2)THEN +! +! In this case, source grid refinement has been applied, so +! the initial narrow band will come from resampling the +! refined grid. +! + DO i=1,nnx + DO j=1,nnz + IF(nsts(j,i).GT.0)THEN + CALL addtree(j,i) + ENDIF + ENDDO + ENDDO +ELSE +! +! In general, the source point need not lie on a grid point. +! Bi-linear interpolation is used to find velocity at the +! source point. +! + nsts=-1 + DO i=1,2 + DO j=1,2 + vss(i,j)=veln(isz-1+j,isx-1+i) + ENDDO + ENDDO + dsx=(scx-gox)-(isx-1)*dnx + dsz=(scz-goz)-(isz-1)*dnz + CALL bilinear(vss,dsx,dsz,vsrc) +! +! Now find the traveltime at the four surrounding grid points. This +! is calculated approximately by assuming the traveltime from the +! source point to each node is equal to the the distance between +! the two points divided by the average velocity of the points +! + DO i=1,2 + DO j=1,2 + ds=SQRT((dsx-(i-1)*dnx)**2+(dsz-(j-1)*dnz)**2) + ttn(isz-1+j,isx-1+i)=2.0*ds/(vss(i,j)+vsrc) + CALL addtree(isz-1+j,isx-1+i) + ENDDO + ENDDO +ENDIF +! +! Now calculate the first-arrival traveltimes at the +! remaining grid points. This is done via a loop which +! repeats the procedure of finding the first-arrival +! of all "close" points, adding it to the set of "alive" +! points and updating the points surrounding the new "alive" +! point. The process ceases when the binary tree is empty, +! in which case all grid points are "alive". +! +DO WHILE(ntr.gt.0) +! +! First, check whether source grid refinement is +! being applied; if so, then there is a special +! exit condition. +! +IF(urg.EQ.1)THEN + ix=btg(1)%px + iz=btg(1)%pz + swrg=0 + IF(ix.EQ.1)THEN + IF(vnl.NE.1)swrg=1 + ENDIF + IF(ix.EQ.nnx)THEN + IF(vnr.NE.nnx)swrg=1 + ENDIF + IF(iz.EQ.1)THEN + IF(vnt.NE.1)swrg=1 + ENDIF + IF(iz.EQ.nnz)THEN + IF(vnb.NE.nnz)swrg=1 + ENDIF + IF(swrg.EQ.1)THEN + nsts(iz,ix)=0 + EXIT + ENDIF +ENDIF +! +! Set the "close" point with minimum traveltime +! to "alive" +! + ix=btg(1)%px + iz=btg(1)%pz + nsts(iz,ix)=0 +! +! Update the binary tree by removing the root and +! sweeping down the tree. +! + CALL downtree +! +! Now update or find values of up to four grid points +! that surround the new "alive" point. +! +! Test points that vary in x +! + DO i=ix-1,ix+1,2 + IF(i.ge.1.and.i.le.nnx)THEN + IF(nsts(iz,i).eq.-1)THEN +! +! This option occurs when a far point is added to the list +! of "close" points +! + IF(fom.eq.0)THEN + CALL fouds1(iz,i) + ELSE + CALL fouds2(iz,i) + ENDIF + CALL addtree(iz,i) + ELSE IF(nsts(iz,i).gt.0)THEN +! +! This happens when a "close" point is updated +! + IF(fom.eq.0)THEN + CALL fouds1(iz,i) + ELSE + CALL fouds2(iz,i) + ENDIF + CALL updtree(iz,i) + ENDIF + ENDIF + ENDDO +! +! Test points that vary in z +! + DO i=iz-1,iz+1,2 + IF(i.ge.1.and.i.le.nnz)THEN + IF(nsts(i,ix).eq.-1)THEN +! +! This option occurs when a far point is added to the list +! of "close" points +! + IF(fom.eq.0)THEN + CALL fouds1(i,ix) + ELSE + CALL fouds2(i,ix) + ENDIF + CALL addtree(i,ix) + ELSE IF(nsts(i,ix).gt.0)THEN +! +! This happens when a "close" point is updated +! + IF(fom.eq.0)THEN + CALL fouds1(i,ix) + ELSE + CALL fouds2(i,ix) + ENDIF + CALL updtree(i,ix) + ENDIF + ENDIF + ENDDO +ENDDO +END SUBROUTINE travel + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine calculates a trial first-arrival traveltime +! at a given node from surrounding nodes using the +! First-Order Upwind Difference Scheme (FOUDS) of +! Sethian and Popovici (1999). +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE fouds1(iz,ix) +IMPLICIT NONE +INTEGER :: j,k,ix,iz,tsw1,swsol +REAL(KIND=i10) :: trav,travm,slown,tdsh,tref +REAL(KIND=i10) :: a,b,c,u,v,em,ri,risti +REAL(KIND=i10) :: rd1 +! +! ix = NS position of node coordinate for determination +! iz = EW vertical position of node coordinate for determination +! trav = traveltime calculated for trial node +! travm = minimum traveltime calculated for trial node +! slown = slowness at (iz,ix) +! tsw1 = traveltime switch (0=first time,1=previously) +! a,b,c,u,v,em = Convenience variables for solving quadratic +! tdsh = local traveltime from neighbouring node +! tref = reference traveltime at neighbouring node +! ri = Radial distance +! risti = ri*sin(theta) at point (iz,ix) +! rd1 = dummy variable +! swsol = switch for solution (0=no solution, 1=solution) +! +! Inspect each of the four quadrants for the minimum time +! solution. +! +tsw1=0 +slown=1.0/veln(iz,ix) +ri=earth +risti=ri*sin(gox+(ix-1)*dnx) +DO j=ix-1,ix+1,2 + DO k=iz-1,iz+1,2 + IF(j.GE.1.AND.j.LE.nnx)THEN + IF(k.GE.1.AND.k.LE.nnz)THEN +! +! There are seven solution options in +! each quadrant. +! + swsol=0 + IF(nsts(iz,j).EQ.0)THEN + swsol=1 + IF(nsts(k,ix).EQ.0)THEN + u=ri*dnx + v=risti*dnz + em=ttn(k,ix)-ttn(iz,j) + a=u**2+v**2 + b=-2.0*u**2*em + c=u**2*(em**2-v**2*slown**2) + tref=ttn(iz,j) + ELSE + a=1.0 + b=0.0 + c=-slown**2*ri**2*dnx**2 + tref=ttn(iz,j) + ENDIF + ELSE IF(nsts(k,ix).EQ.0)THEN + swsol=1 + a=1.0 + b=0.0 + c=-(slown*risti*dnz)**2 + tref=ttn(k,ix) + ENDIF +! +! Now find the solution of the quadratic equation +! + IF(swsol.EQ.1)THEN + rd1=b**2-4.0*a*c + IF(rd1.LT.0.0)rd1=0.0 + tdsh=(-b+sqrt(rd1))/(2.0*a) + trav=tref+tdsh + IF(tsw1.EQ.1)THEN + travm=MIN(trav,travm) + ELSE + travm=trav + tsw1=1 + ENDIF + ENDIF + ENDIF + ENDIF + ENDDO +ENDDO +ttn(iz,ix)=travm +END SUBROUTINE fouds1 + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine calculates a trial first-arrival traveltime +! at a given node from surrounding nodes using the +! Mixed-Order (2nd) Upwind Difference Scheme (FOUDS) of +! Popovici and Sethian (2002). +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE fouds2(iz,ix) +IMPLICIT NONE +INTEGER :: j,k,j2,k2,ix,iz,tsw1 +INTEGER :: swj,swk,swsol +REAL(KIND=i10) :: trav,travm,slown,tdsh,tref,tdiv +REAL(KIND=i10) :: a,b,c,u,v,em,ri,risti,rd1 +! +! ix = NS position of node coordinate for determination +! iz = EW vertical position of node coordinate for determination +! trav = traveltime calculated for trial node +! travm = minimum traveltime calculated for trial node +! slown = slowness at (iz,ix) +! tsw1 = traveltime switch (0=first time,1=previously) +! a,b,c,u,v,em = Convenience variables for solving quadratic +! tdsh = local traveltime from neighbouring node +! tref = reference traveltime at neighbouring node +! ri = Radial distance +! risti = ri*sin(theta) at point (iz,ix) +! swj,swk = switches for second order operators +! tdiv = term to divide tref by depending on operator order +! swsol = switch for solution (0=no solution, 1=solution) +! +! Inspect each of the four quadrants for the minimum time +! solution. +! +tsw1=0 +slown=1.0/veln(iz,ix) +ri=earth +risti=ri*sin(gox+(ix-1)*dnx) +DO j=ix-1,ix+1,2 + IF(j.GE.1.AND.j.LE.nnx)THEN + swj=-1 + IF(j.eq.ix-1)THEN + j2=j-1 + IF(j2.GE.1)THEN + IF(nsts(iz,j2).EQ.0)swj=0 + ENDIF + ELSE + j2=j+1 + IF(j2.LE.nnx)THEN + IF(nsts(iz,j2).EQ.0)swj=0 + ENDIF + ENDIF + IF(nsts(iz,j).EQ.0.AND.swj.EQ.0)THEN + swj=-1 + IF(ttn(iz,j).GT.ttn(iz,j2))THEN + swj=0 + ENDIF + ELSE + swj=-1 + ENDIF + DO k=iz-1,iz+1,2 + IF(k.GE.1.AND.k.LE.nnz)THEN + swk=-1 + IF(k.eq.iz-1)THEN + k2=k-1 + IF(k2.GE.1)THEN + IF(nsts(k2,ix).EQ.0)swk=0 + ENDIF + ELSE + k2=k+1 + IF(k2.LE.nnz)THEN + IF(nsts(k2,ix).EQ.0)swk=0 + ENDIF + ENDIF + IF(nsts(k,ix).EQ.0.AND.swk.EQ.0)THEN + swk=-1 + IF(ttn(k,ix).GT.ttn(k2,ix))THEN + swk=0 + ENDIF + ELSE + swk=-1 + ENDIF +! +! There are 8 solution options in +! each quadrant. +! + swsol=0 + IF(swj.EQ.0)THEN + swsol=1 + IF(swk.EQ.0)THEN + u=2.0*ri*dnx + v=2.0*risti*dnz + em=4.0*ttn(iz,j)-ttn(iz,j2)-4.0*ttn(k,ix) + em=em+ttn(k2,ix) + a=v**2+u**2 + b=2.0*em*u**2 + c=u**2*(em**2-slown**2*v**2) + tref=4.0*ttn(iz,j)-ttn(iz,j2) + tdiv=3.0 + ELSE IF(nsts(k,ix).EQ.0)THEN + u=risti*dnz + v=2.0*ri*dnx + em=3.0*ttn(k,ix)-4.0*ttn(iz,j)+ttn(iz,j2) + a=v**2+9.0*u**2 + b=6.0*em*u**2 + c=u**2*(em**2-slown**2*v**2) + tref=ttn(k,ix) + tdiv=1.0 + ELSE + u=2.0*ri*dnx + a=1.0 + b=0.0 + c=-u**2*slown**2 + tref=4.0*ttn(iz,j)-ttn(iz,j2) + tdiv=3.0 + ENDIF + ELSE IF(nsts(iz,j).EQ.0)THEN + swsol=1 + IF(swk.EQ.0)THEN + u=ri*dnx + v=2.0*risti*dnz + em=3.0*ttn(iz,j)-4.0*ttn(k,ix)+ttn(k2,ix) + a=v**2+9.0*u**2 + b=6.0*em*u**2 + c=u**2*(em**2-v**2*slown**2) + tref=ttn(iz,j) + tdiv=1.0 + ELSE IF(nsts(k,ix).EQ.0)THEN + u=ri*dnx + v=risti*dnz + em=ttn(k,ix)-ttn(iz,j) + a=u**2+v**2 + b=-2.0*u**2*em + c=u**2*(em**2-v**2*slown**2) + tref=ttn(iz,j) + tdiv=1.0 + ELSE + a=1.0 + b=0.0 + c=-slown**2*ri**2*dnx**2 + tref=ttn(iz,j) + tdiv=1.0 + ENDIF + ELSE + IF(swk.EQ.0)THEN + swsol=1 + u=2.0*risti*dnz + a=1.0 + b=0.0 + c=-u**2*slown**2 + tref=4.0*ttn(k,ix)-ttn(k2,ix) + tdiv=3.0 + ELSE IF(nsts(k,ix).EQ.0)THEN + swsol=1 + a=1.0 + b=0.0 + c=-slown**2*risti**2*dnz**2 + tref=ttn(k,ix) + tdiv=1.0 + ENDIF + ENDIF +! +! Now find the solution of the quadratic equation +! + IF(swsol.EQ.1)THEN + rd1=b**2-4.0*a*c + IF(rd1.LT.0.0)rd1=0.0 + tdsh=(-b+sqrt(rd1))/(2.0*a) + trav=(tref+tdsh)/tdiv + IF(tsw1.EQ.1)THEN + travm=MIN(trav,travm) + ELSE + travm=trav + tsw1=1 + ENDIF + ENDIF + ENDIF + ENDDO + ENDIF +ENDDO +ttn(iz,ix)=travm +END SUBROUTINE fouds2 + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine adds a value to the binary tree by +! placing a value at the bottom and pushing it up +! to its correct position. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE addtree(iz,ix) +IMPLICIT NONE +INTEGER :: ix,iz,tpp,tpc +TYPE(backpointer) :: exch +! +! ix,iz = grid position of new addition to tree +! tpp = tree position of parent +! tpc = tree position of child +! exch = dummy to exchange btg values +! +! First, increase the size of the tree by one. +! +ntr=ntr+1 +! +! Put new value at base of tree +! +nsts(iz,ix)=ntr +btg(ntr)%px=ix +btg(ntr)%pz=iz +! +! Now filter the new value up to its correct position +! +tpc=ntr +tpp=tpc/2 +DO WHILE(tpp.gt.0) + IF(ttn(iz,ix).lt.ttn(btg(tpp)%pz,btg(tpp)%px))THEN + nsts(iz,ix)=tpp + nsts(btg(tpp)%pz,btg(tpp)%px)=tpc + exch=btg(tpc) + btg(tpc)=btg(tpp) + btg(tpp)=exch + tpc=tpp + tpp=tpc/2 + ELSE + tpp=0 + ENDIF +ENDDO +END SUBROUTINE addtree + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine updates the binary tree after the root +! value has been used. The root is replaced by the value +! at the bottom of the tree, which is then filtered down +! to its correct position. This ensures that the tree remains +! balanced. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE downtree +IMPLICIT NONE +INTEGER :: tpp,tpc +REAL(KIND=i10) :: rd1,rd2 +TYPE(backpointer) :: exch +! +! tpp = tree position of parent +! tpc = tree position of child +! exch = dummy to exchange btg values +! rd1,rd2 = substitution variables +! +! Replace root of tree with its last value +! +IF(ntr.EQ.1)THEN + ntr=ntr-1 + RETURN +ENDIF +nsts(btg(ntr)%pz,btg(ntr)%px)=1 +btg(1)=btg(ntr) +! +! Reduce size of tree by one +! +ntr=ntr-1 +! +! Now filter new root down to its correct position +! +tpp=1 +tpc=2*tpp +DO WHILE(tpc.lt.ntr) +! +! Check which of the two children is smallest - use the smallest +! + rd1=ttn(btg(tpc)%pz,btg(tpc)%px) + rd2=ttn(btg(tpc+1)%pz,btg(tpc+1)%px) + IF(rd1.gt.rd2)THEN + tpc=tpc+1 + ENDIF +! +! Check whether the child is smaller than the parent; if so, then swap, +! if not, then we are done +! + rd1=ttn(btg(tpc)%pz,btg(tpc)%px) + rd2=ttn(btg(tpp)%pz,btg(tpp)%px) + IF(rd1.lt.rd2)THEN + nsts(btg(tpp)%pz,btg(tpp)%px)=tpc + nsts(btg(tpc)%pz,btg(tpc)%px)=tpp + exch=btg(tpc) + btg(tpc)=btg(tpp) + btg(tpp)=exch + tpp=tpc + tpc=2*tpp + ELSE + tpc=ntr+1 + ENDIF +ENDDO +! +! If ntr is an even number, then we still have one more test to do +! +IF(tpc.eq.ntr)THEN + rd1=ttn(btg(tpc)%pz,btg(tpc)%px) + rd2=ttn(btg(tpp)%pz,btg(tpp)%px) + IF(rd1.lt.rd2)THEN + nsts(btg(tpp)%pz,btg(tpp)%px)=tpc + nsts(btg(tpc)%pz,btg(tpc)%px)=tpp + exch=btg(tpc) + btg(tpc)=btg(tpp) + btg(tpp)=exch + ENDIF +ENDIF +END SUBROUTINE downtree + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine updates a value on the binary tree. The FMM +! should only produce updated values that are less than their +! prior values. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE updtree(iz,ix) +IMPLICIT NONE +INTEGER :: ix,iz,tpp,tpc +TYPE(backpointer) :: exch +! +! ix,iz = grid position of new addition to tree +! tpp = tree position of parent +! tpc = tree position of child +! exch = dummy to exchange btg values +! +! Filter the updated value to its correct position +! +tpc=nsts(iz,ix) +tpp=tpc/2 +DO WHILE(tpp.gt.0) + IF(ttn(iz,ix).lt.ttn(btg(tpp)%pz,btg(tpp)%px))THEN + nsts(iz,ix)=tpp + nsts(btg(tpp)%pz,btg(tpp)%px)=tpc + exch=btg(tpc) + btg(tpc)=btg(tpp) + btg(tpp)=exch + tpc=tpp + tpp=tpc/2 + ELSE + tpp=0 + ENDIF +ENDDO +END SUBROUTINE updtree + +END MODULE traveltime + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! MAIN PROGRAM +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: PROGRAM +! CODE: FORTRAN 90 +! This program is designed to implement the Fast Marching +! Method (FMM) for calculating first-arrival traveltimes +! through a 2-D continuous velocity medium in spherical shell +! coordinates (x=theta or latitude, z=phi or longitude). +! It is written in Fortran 90, although it is probably more +! accurately described as Fortran 77 with some of the Fortran 90 +! extensions. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!PROGRAM tomo_surf +subroutine CalSurfG(nx,ny,nz,nparpi,vels,iw,rw,col,dsurf, & + goxdf,gozdf,dvxdf,dvzdf,kmaxRc,kmaxRg,kmaxLc,kmaxLg, & + tRc,tRg,tLc,tLg,wavetype,igrt,periods,depz,minthk, & + scxf,sczf,rcxf,rczf,nrc1,nsrcsurf1,knum1,kmax,nsrcsurf,nrcf, & + nar,writepath) +USE globalp +USE traveltime +IMPLICIT NONE +!CHARACTER (LEN=30) ::grid,frechet +!CHARACTER (LEN=40) :: sources,receivers,otimes +!CHARACTER (LEN=30) :: travelt,rtravel,wrays,cdum +INTEGER :: i,j,k,l,nsrc,tnr,urg +INTEGER :: sgs,isx,isz,sw,idm1,idm2,nnxb,nnzb +INTEGER :: ogx,ogz,grdfx,grdfz,maxbt +REAL(KIND=i10) :: x,z,goxb,gozb,dnxb,dnzb +!REAL(KIND=i10), DIMENSION (:,:), ALLOCATABLE :: scxf,sczf +!REAL(KIND=i10), DIMENSION (:,:,:), ALLOCATABLE :: rcxf,rczf +! +! sources = File containing source locations +! receivers = File containing receiver locations +! grid = File containing grid of velocity vertices for +! resampling on a finer grid with cubic B-splines +! frechet = output file containing matrix of frechet derivatives +! travelt = File name for storage of traveltime field +! wttf = Write traveltimes to file? (0=no,>0=source id) +! fom = Use first-order(0) or mixed-order(1) scheme +! nsrc = number of sources +! scx,scz = source location in r,x,z +! scx,scz = source location in r,x,z +! x,z = temporary variables for source location +! fsrt = find source-receiver traveltimes? (0=no,1=yes) +! rtravel = output file for source-receiver traveltimes +! cdum = dummy character variable ! wrgf = write ray geometries to file? (<0=all,0=no,>0=source id.) +! wrays = file containing raypath geometries +! cfd = calculate Frechet derivatives? (0=no, 1=yes) +! tnr = total number of receivers +! sgs = Extent of refined source grid +! isx,isz = cell containing source +! nnxb,nnzb = Backup for nnz,nnx +! goxb,gozb = Backup for gox,goz +! dnxb,dnzb = Backup for dnx,dnz +! ogx,ogz = Location of refined grid origin +! gridfx,grdfz = Number of refined nodes per cell +! urg = use refined grid (0=no,1=yes,2=previously used) +! maxbt = maximum size of narrow band binary tree +! otimes = file containing source-receiver association information +!c----------------------------------------------------------------- +! variables defined by Hongjian Fang + integer nx,ny,nz + integer kmax,nsrcsurf,nrcf + real vels(nx,ny,nz) + real rw(*) + integer iw(*),col(*) + real dsurf(*) + real goxdf,gozdf,dvxdf,dvzdf + integer kmaxRc,kmaxRg,kmaxLc,kmaxLg + real*8 tRc(*),tRg(*),tLc(*),tLg(*) + integer wavetype(nsrcsurf,kmax) + integer periods(nsrcsurf,kmax),nrc1(nsrcsurf,kmax),nsrcsurf1(kmax) + integer knum1(kmax),igrt(nsrcsurf,kmax) + real scxf(nsrcsurf,kmax),sczf(nsrcsurf,kmax),rcxf(nrcf,nsrcsurf,kmax),rczf(nrcf,nsrcsurf,kmax) + integer nar + real minthk + integer nparpi + + + real vpz(nz),vsz(nz),rhoz(nz),depz(nz) + real*8 pvRc(nx*ny,kmaxRc),pvRg(nx*ny,kmaxRg),pvLc(nx*ny,kmaxLc),pvLg(nx*ny,kmaxLg) + real*8 sen_vsRc(nx*ny,kmaxRc,nz),sen_vpRc(nx*ny,kmaxRc,nz) + real*8 sen_rhoRc(nx*ny,kmaxRc,nz) + real*8 sen_vsRg(nx*ny,kmaxRg,nz),sen_vpRg(nx*ny,kmaxRg,nz) + real*8 sen_rhoRg(nx*ny,kmaxRg,nz) + real*8 sen_vsLc(nx*ny,kmaxLc,nz),sen_vpLc(nx*ny,kmaxLc,nz) + real*8 sen_rhoLc(nx*ny,kmaxLc,nz) + real*8 sen_vsLg(nx*ny,kmaxLg,nz),sen_vpLg(nx*ny,kmaxLg,nz) + real*8 sen_rhoLg(nx*ny,kmaxLg,nz) + real*8 sen_vs(nx*ny,kmax,nz),sen_vp(nx*ny,kmax,nz) + real*8 sen_rho(nx*ny,kmax,nz) + real coe_rho(nz-1),coe_a(nz-1) + real*8 velf(ny*nx) + integer kmax1,kmax2,kmax3,count1 + integer igr + integer iwave + integer knumi,srcnum + real,dimension(:,:),allocatable:: fdm + real row(nparpi) + real vpft(nz-1) + real cbst1 + integer ii,jj,kk,nn,istep + integer level,maxlevel,maxleveld,HorizonType,VerticalType,PorS + real,parameter::ftol=1e-4 + integer writepath +gdx=5 +gdz=5 +asgr=1 +sgdl=8 +sgs=8 +earth=6371.0 +fom=1 +snb=0.5 +goxd=goxdf +gozd=gozdf +dvxd=dvxdf +dvzd=dvzdf +nvx=nx-2 +nvz=ny-2 +ALLOCATE(velv(0:nvz+1,0:nvx+1), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: SUBROUTINE gridder: REAL velv' +ENDIF +! +! Convert from degrees to radians +! +dvx=dvxd*pi/180.0 +dvz=dvzd*pi/180.0 +gox=(90.0-goxd)*pi/180.0 +goz=gozd*pi/180.0 +! +! Compute corresponding values for propagation grid. +! +nnx=(nvx-1)*gdx+1 +nnz=(nvz-1)*gdz+1 +dnx=dvx/gdx +dnz=dvz/gdz +dnxd=dvxd/gdx +dnzd=dvzd/gdz +ALLOCATE(veln(nnz,nnx), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: SUBROUTINE gridder: REAL veln' +ENDIF + +! +! Call a subroutine which reads in the velocity grid +! +!CALL gridder(grid) +! +! Read in all source coordinates. +! +! +! Now work out, source by source, the first-arrival traveltime +! field plus source-receiver traveltimes +! and ray paths if required. First, allocate memory to the +! traveltime field array +! +ALLOCATE(ttn(nnz,nnx), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: PROGRAM fmmin2d: REAL ttn' +ENDIF + rbint=0 +! +! Allocate memory for node status and binary trees +! +ALLOCATE(nsts(nnz,nnx)) +maxbt=NINT(snb*nnx*nnz) +ALLOCATE(btg(maxbt)) + +allocate(fdm(0:nvz+1,0:nvx+1)) + + if(kmaxRc.gt.0) then + iwave=2 + igr=0 + call depthkernel(nx,ny,nz,vels,pvRc,sen_vsRc,sen_vpRc, & + sen_rhoRc,iwave,igr,kmaxRc,tRc,depz,minthk) + endif + + if(kmaxRg.gt.0) then + iwave=2 + igr=1 + call depthkernel(nx,ny,nz,vels,pvRg,sen_vsRg,sen_vpRg, & + sen_rhoRg,iwave,igr,kmaxRg,tRg,depz,minthk) + endif + + if(kmaxLc.gt.0) then + iwave=1 + igr=0 + call depthkernel(nx,ny,nz,vels,pvLc,sen_vsLc,sen_vpLc, & + sen_rhoLc,iwave,igr,kmaxLc,tLc,depz,minthk) + endif + + if(kmaxLg.gt.0) then + iwave=1 + igr=1 + call depthkernel(nx,ny,nz,vels,pvLg,sen_vsLg,sen_vpLg, & + sen_rhoLg,iwave,igr,kmaxLg,tLg,depz,minthk) + endif + +nar=0 +count1=0 + +sen_vs=0 +sen_vp=0 +sen_rho=0 +kmax1=kmaxRc +kmax2=kmaxRc+kmaxRg +kmax3=kmaxRc+kmaxRg+kmaxLc +do knumi=1,kmax +do srcnum=1,nsrcsurf1(knum1(knumi)) + if(wavetype(srcnum,knum1(knumi))==2.and.igrt(srcnum,knum1(knumi))==0) then + velf(1:nx*ny)=pvRc(1:nx*ny,periods(srcnum,knum1(knumi))) + sen_vs(:,1:kmax1,:)=sen_vsRc(:,1:kmaxRc,:)!(:,nt(istep),:) + sen_vp(:,1:kmax1,:)=sen_vpRc(:,1:kmaxRc,:)!(:,nt(istep),:) + sen_rho(:,1:kmax1,:)=sen_rhoRc(:,1:kmaxRc,:)!(:,nt(istep),:) + endif + if(wavetype(srcnum,knum1(knumi))==2.and.igrt(srcnum,knum1(knumi))==1) then + velf(1:nx*ny)=pvRg(1:nx*ny,periods(srcnum,knum1(knumi))) + sen_vs(:,kmax1+1:kmax2,:)=sen_vsRg(:,1:kmaxRg,:)!(:,nt,:) + sen_vp(:,kmax1+1:kmax2,:)=sen_vpRg(:,1:kmaxRg,:)!(:,nt,:) + sen_rho(:,kmax1+1:kmax2,:)=sen_rhoRg(:,1:kmaxRg,:)!(:,nt,:) + endif + if(wavetype(srcnum,knum1(knumi))==1.and.igrt(srcnum,knum1(knumi))==0) then + velf(1:nx*ny)=pvLc(1:nx*ny,periods(srcnum,knum1(knumi))) + sen_vs(:,kmax2+1:kmax3,:)=sen_vsLc(:,1:kmaxLc,:)!(:,nt,:) + sen_vp(:,kmax2+1:kmax3,:)=sen_vpLc(:,1:kmaxLc,:)!(:,nt,:) + sen_rho(:,kmax2+1:kmax3,:)=sen_rhoLc(:,1:kmaxLc,:)!(:,nt,:) + endif + if(wavetype(srcnum,knum1(knumi))==1.and.igrt(srcnum,knum1(knumi))==1) then + velf(1:nx*ny)=pvLg(1:nx*ny,periods(srcnum,knum1(knumi))) + sen_vs(:,kmax3+1:kmax,:)=sen_vsLg(:,1:kmaxLg,:)!(:,nt,:) + sen_vp(:,kmax3+1:kmax,:)=sen_vpLg(:,1:kmaxLg,:)!(:,nt,:) + sen_rho(:,kmax3+1:kmax,:)=sen_rhoLg(:,1:kmaxLg,:)!(:,nt,:) + endif + +call gridder(velf) + x=scxf(srcnum,knum1(knumi)) + z=sczf(srcnum,knum1(knumi)) +! +! Begin by computing refined source grid if required +! + urg=0 + IF(asgr.EQ.1)THEN +! +! Back up coarse velocity grid to a holding matrix +! + ALLOCATE(velnb(nnz,nnx)) + ! MODIFIEDY BY HONGJIAN FANG @ USTC 2014/04/17 + velnb(1:nnz,1:nnx)=veln(1:nnz,1:nnx) + nnxb=nnx + nnzb=nnz + dnxb=dnx + dnzb=dnz + goxb=gox + gozb=goz +! +! Identify nearest neighbouring node to source +! + isx=INT((x-gox)/dnx)+1 + isz=INT((z-goz)/dnz)+1 + sw=0 + IF(isx.lt.1.or.isx.gt.nnx)sw=1 + IF(isz.lt.1.or.isz.gt.nnz)sw=1 + IF(sw.eq.1)then + isx=90.0-isx*180.0/pi + isz=isz*180.0/pi + WRITE(6,*)"Source lies outside bounds of model (lat,long)= ",isx,isz + WRITE(6,*)"TERMINATING PROGRAM!!!" + STOP + ENDIF + IF(isx.eq.nnx)isx=isx-1 + IF(isz.eq.nnz)isz=isz-1 +! +! Now find rectangular box that extends outward from the nearest source node +! to "sgs" nodes away. +! + vnl=isx-sgs + IF(vnl.lt.1)vnl=1 + vnr=isx+sgs + IF(vnr.gt.nnx)vnr=nnx + vnt=isz-sgs + IF(vnt.lt.1)vnt=1 + vnb=isz+sgs + IF(vnb.gt.nnz)vnb=nnz + nrnx=(vnr-vnl)*sgdl+1 + nrnz=(vnb-vnt)*sgdl+1 + drnx=dvx/REAL(gdx*sgdl) + drnz=dvz/REAL(gdz*sgdl) + gorx=gox+dnx*(vnl-1) + gorz=goz+dnz*(vnt-1) + nnx=nrnx + nnz=nrnz + dnx=drnx + dnz=drnz + gox=gorx + goz=gorz +! +! Reallocate velocity and traveltime arrays if nnx>nnxb or +! nnz 0)THEN + WRITE(6,*)'Error with DEALLOCATE: PROGRAM fmmin2d: velnb' + ENDIF +ENDIF +enddo +enddo +deallocate(fdm) +deallocate(velv,veln,ttn,nsts,btg) +END subroutine +SUBROUTINE gridder(pv) +!subroutine gridder(pv) +!subroutine gridder() +USE globalp +IMPLICIT NONE +INTEGER :: i,j,l,m,i1,j1,conx,conz,stx,stz +REAL(KIND=i10) :: u,sumi,sumj +REAL(KIND=i10), DIMENSION(:,:), ALLOCATABLE :: ui,vi +!CHARACTER (LEN=30) :: grid +! +! u = independent parameter for b-spline +! ui,vi = bspline basis functions +! conx,conz = variables for edge of B-spline grid +! stx,stz = counters for veln grid points +! sumi,sumj = summation variables for computing b-spline +! +!C--------------------------------------------------------------- +double precision pv(*) +!integer count1 +!C--------------------------------------------------------------- +! Open the grid file and read in the velocity grid. +! +!OPEN(UNIT=10,FILE=grid,STATUS='old') +!READ(10,*)nvx,nvz +!READ(10,*)goxd,gozd +!READ(10,*)dvxd,dvzd +!count1=0 +DO i=0,nvz+1 + DO j=0,nvx+1 +! count1=count1+1 +! READ(10,*)velv(i,j) +! velv(i,j)=real(pv(count1)) + velv(i,j)=real(pv(i*(nvx+2)+j+1)) + ENDDO +ENDDO +!CLOSE(10) +! +! Convert from degrees to radians +! +! +! Now dice up the grid +! +ALLOCATE(ui(gdx+1,4), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: Subroutine gridder: REAL ui' +ENDIF +DO i=1,gdx+1 + u=gdx + u=(i-1)/u + ui(i,1)=(1.0-u)**3/6.0 + ui(i,2)=(4.0-6.0*u**2+3.0*u**3)/6.0 + ui(i,3)=(1.0+3.0*u+3.0*u**2-3.0*u**3)/6.0 + ui(i,4)=u**3/6.0 +ENDDO +ALLOCATE(vi(gdz+1,4), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: Subroutine gridder: REAL vi' +ENDIF +DO i=1,gdz+1 + u=gdz + u=(i-1)/u + vi(i,1)=(1.0-u)**3/6.0 + vi(i,2)=(4.0-6.0*u**2+3.0*u**3)/6.0 + vi(i,3)=(1.0+3.0*u+3.0*u**2-3.0*u**3)/6.0 + vi(i,4)=u**3/6.0 +ENDDO +DO i=1,nvz-1 + conz=gdz + IF(i==nvz-1)conz=gdz+1 + DO j=1,nvx-1 + conx=gdx + IF(j==nvx-1)conx=gdx+1 + DO l=1,conz + stz=gdz*(i-1)+l + DO m=1,conx + stx=gdx*(j-1)+m + sumi=0.0 + DO i1=1,4 + sumj=0.0 + DO j1=1,4 + sumj=sumj+ui(m,j1)*velv(i-2+i1,j-2+j1) + ENDDO + sumi=sumi+vi(l,i1)*sumj + ENDDO + veln(stz,stx)=sumi + ENDDO + ENDDO + ENDDO +ENDDO +DEALLOCATE(ui,vi, STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with DEALLOCATE: SUBROUTINE gridder: REAL ui,vi' +ENDIF +END SUBROUTINE gridder + + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine is similar to bsplreg except that it has been +! modified to deal with source grid refinement +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE bsplrefine +USE globalp +INTEGER :: i,j,k,l,i1,j1,st1,st2,nrzr,nrxr +INTEGER :: origx,origz,conx,conz,idm1,idm2 +REAL(KIND=i10) :: u,v +REAL(KIND=i10), DIMENSION (4) :: sum +REAL(KIND=i10), DIMENSION(gdx*sgdl+1,gdz*sgdl+1,4) :: ui,vi +! +! nrxr,nrzr = grid refinement level for source grid in x,z +! origx,origz = local origin of refined source grid +! +! Begin by calculating the values of the basis functions +! +nrxr=gdx*sgdl +nrzr=gdz*sgdl +DO i=1,nrzr+1 + v=nrzr + v=(i-1)/v + DO j=1,nrxr+1 + u=nrxr + u=(j-1)/u + ui(j,i,1)=(1.0-u)**3/6.0 + ui(j,i,2)=(4.0-6.0*u**2+3.0*u**3)/6.0 + ui(j,i,3)=(1.0+3.0*u+3.0*u**2-3.0*u**3)/6.0 + ui(j,i,4)=u**3/6.0 + vi(j,i,1)=(1.0-v)**3/6.0 + vi(j,i,2)=(4.0-6.0*v**2+3.0*v**3)/6.0 + vi(j,i,3)=(1.0+3.0*v+3.0*v**2-3.0*v**3)/6.0 + vi(j,i,4)=v**3/6.0 + ENDDO +ENDDO +! +! Calculate the velocity values. +! +origx=(vnl-1)*sgdl+1 +origz=(vnt-1)*sgdl+1 +DO i=1,nvz-1 + conz=nrzr + IF(i==nvz-1)conz=nrzr+1 + DO j=1,nvx-1 + conx=nrxr + IF(j==nvx-1)conx=nrxr+1 + DO k=1,conz + st1=gdz*(i-1)+(k-1)/sgdl+1 + IF(st1.LT.vnt.OR.st1.GT.vnb)CYCLE + st1=nrzr*(i-1)+k + DO l=1,conx + st2=gdx*(j-1)+(l-1)/sgdl+1 + IF(st2.LT.vnl.OR.st2.GT.vnr)CYCLE + st2=nrxr*(j-1)+l + DO i1=1,4 + sum(i1)=0.0 + DO j1=1,4 + sum(i1)=sum(i1)+ui(l,k,j1)*velv(i-2+i1,j-2+j1) + ENDDO + sum(i1)=vi(l,k,i1)*sum(i1) + ENDDO + idm1=st1-origz+1 + idm2=st2-origx+1 + IF(idm1.LT.1.OR.idm1.GT.nnz)CYCLE + IF(idm2.LT.1.OR.idm2.GT.nnx)CYCLE + veln(idm1,idm2)=sum(1)+sum(2)+sum(3)+sum(4) + ENDDO + ENDDO + ENDDO +ENDDO +END SUBROUTINE bsplrefine +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine calculates all receiver traveltimes for +! a given source and writes the results to file. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!SUBROUTINE srtimes(scx,scz,rcx1,rcz1,cbst1) +SUBROUTINE srtimes(scx,scz,rcx1,rcz1,cbst1) +USE globalp +IMPLICIT NONE +INTEGER :: i,k,l,irx,irz,sw,isx,isz,csid +INTEGER, PARAMETER :: noray=0,yesray=1 +INTEGER, PARAMETER :: i5=SELECTED_REAL_KIND(6) +REAL(KIND=i5) :: trr +REAL(KIND=i5), PARAMETER :: norayt=0.0 +REAL(KIND=i10) :: drx,drz,produ,scx,scz +REAL(KIND=i10) :: rcx1,rcz1,cbst1 +REAL(KIND=i10) :: sred,dpl,rd1,vels,velr +REAL(KIND=i10), DIMENSION (2,2) :: vss +!!------------------------------------------------------ +! modified by Hongjian Fang @ USTC + integer no_p,nsrc + real dist +! real cbst(*) !note that the type difference(kind=i5 vs real) +! integer cbst_stat(*) +!!------------------------------------------------------ +! +! irx,irz = Coordinates of cell containing receiver +! trr = traveltime value at receiver +! produ = dummy multiplier +! drx,drz = receiver distance from (i,j,k) grid node +! scx,scz = source coordinates +! isx,isz = source cell location +! sred = Distance from source to receiver +! dpl = Minimum path length in source neighbourhood. +! vels,velr = velocity at source and receiver +! vss = velocity at four grid points about source or receiver. +! csid = current source ID +! noray = switch to indicate no ray present +! norayt = default value given to null ray +! yesray = switch to indicate that ray is present +! +! Determine source-receiver traveltimes one at a time. +! +!0605DO i=1,nrc +!0605 IF(srs(i,csid).EQ.0)THEN +!0605! WRITE(10,*)noray,norayt +!0605 CYCLE +!0605 ENDIF +! +! The first step is to locate the receiver in the grid. +! + irx=INT((rcx1-gox)/dnx)+1 + irz=INT((rcz1-goz)/dnz)+1 + sw=0 + IF(irx.lt.1.or.irx.gt.nnx)sw=1 + IF(irz.lt.1.or.irz.gt.nnz)sw=1 + IF(sw.eq.1)then + irx=90.0-irx*180.0/pi + irz=irz*180.0/pi + WRITE(6,*)"srtimes Receiver lies outside model (lat,long)= ",irx,irz + WRITE(6,*)"TERMINATING PROGRAM!!!!" + STOP + ENDIF + IF(irx.eq.nnx)irx=irx-1 + IF(irz.eq.nnz)irz=irz-1 +! +! Location of receiver successfully found within the grid. Now approximate +! traveltime at receiver using bilinear interpolation from four +! surrounding grid points. Note that bilinear interpolation is a poor +! approximation when traveltime gradient varies significantly across a cell, +! particularly near the source. Thus, we use an improved approximation in this +! case. First, locate current source cell. +! + isx=INT((scx-gox)/dnx)+1 + isz=INT((scz-goz)/dnz)+1 + dpl=dnx*earth + rd1=dnz*earth*SIN(gox) + IF(rd1.LT.dpl)dpl=rd1 + rd1=dnz*earth*SIN(gox+(nnx-1)*dnx) + IF(rd1.LT.dpl)dpl=rd1 + sred=((scx-rcx1)*earth)**2 + sred=sred+((scz-rcz1)*earth*SIN(rcx1))**2 + sred=SQRT(sred) + IF(sred.LT.dpl)sw=1 + IF(isx.EQ.irx)THEN + IF(isz.EQ.irz)sw=1 + ENDIF + IF(sw.EQ.1)THEN +! +! Compute velocity at source and receiver +! + DO k=1,2 + DO l=1,2 + vss(k,l)=veln(isz-1+l,isx-1+k) + ENDDO + ENDDO + drx=(scx-gox)-(isx-1)*dnx + drz=(scz-goz)-(isz-1)*dnz + CALL bilinear(vss,drx,drz,vels) + DO k=1,2 + DO l=1,2 + vss(k,l)=veln(irz-1+l,irx-1+k) + ENDDO + ENDDO + drx=(rcx1-gox)-(irx-1)*dnx + drz=(rcz1-goz)-(irz-1)*dnz + CALL bilinear(vss,drx,drz,velr) + trr=2.0*sred/(vels+velr) + ELSE + drx=(rcx1-gox)-(irx-1)*dnx + drz=(rcz1-goz)-(irz-1)*dnz + trr=0.0 + DO k=1,2 + DO l=1,2 + produ=(1.0-ABS(((l-1)*dnz-drz)/dnz))*(1.0-ABS(((k-1)*dnx-drx)/dnx)) + trr=trr+ttn(irz-1+l,irx-1+k)*produ + ENDDO + ENDDO + ENDIF +! WRITE(10,*)yesray,trr +!!----------------------------------------------------------------- +! modified bu Hongjian Fang @ USTC +! count2=count2+1 +! cbst((no_p-1)*nsrc*nrc+(csid-1)*nrc+i)=trr + cbst1=trr +! call delsph(scx,scz,rcx(i),rcz(i),dist) +! travel_path(count2)=dist +!cbst_stat((no_p-1)*nsrc*nrc+(csid-1)*nrc+i)=yesray +!0605ENDDO +END SUBROUTINE srtimes + + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine calculates ray path geometries for each +! source-receiver combination. It will also compute +! Frechet derivatives using these ray paths if required. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!SUBROUTINE rpaths(wrgf,csid,cfd,scx,scz) +!SUBROUTINE rpaths() +SUBROUTINE rpaths(scx,scz,fdm,surfrcx,surfrcz,writepath) +USE globalp +IMPLICIT NONE +INTEGER, PARAMETER :: i5=SELECTED_REAL_KIND(5,10) +INTEGER, PARAMETER :: nopath=0 +INTEGER :: i,j,k,l,m,n,ipx,ipz,ipxr,ipzr,nrp,sw +!fang!INTEGER :: wrgf,cfd,csid,ipxo,ipzo,isx,isz +INTEGER :: ipxo,ipzo,isx,isz +INTEGER :: ivx,ivz,ivxo,ivzo,nhp,maxrp +INTEGER :: ivxt,ivzt,ipxt,ipzt,isum,igref +INTEGER, DIMENSION (4) :: chp +REAL(KIND=i5) :: rayx,rayz +REAL(KIND=i10) :: dpl,rd1,rd2,xi,zi,vel,velo +REAL(KIND=i10) :: v,w,rigz,rigx,dinc,scx,scz +REAL(KIND=i10) :: dtx,dtz,drx,drz,produ,sred +REAL(KIND=i10), DIMENSION (:), ALLOCATABLE :: rgx,rgz +!fang!REAL(KIND=i5), DIMENSION (:,:), ALLOCATABLE :: fdm +REAL(KIND=i10), DIMENSION (4) :: vrat,vi,wi,vio,wio +!fang!------------------------------------------------ +real fdm(0:nvz+1,0:nvx+1) +REAL(KIND=i10) surfrcx,surfrcz +integer writepath +!fang!------------------------------------------------ +! +! ipx,ipz = Coordinates of cell containing current point +! ipxr,ipzr = Same as ipx,apz except for refined grid +! ipxo,ipzo = Coordinates of previous point +! rgx,rgz = (x,z) coordinates of ray geometry +! ivx,ivz = Coordinates of B-spline vertex containing current point +! ivxo,ivzo = Coordinates of previous point +! maxrp = maximum number of ray points +! nrp = number of points to describe ray +! dpl = incremental path length of ray +! xi,zi = edge of model coordinates +! dtx,dtz = components of gradT +! wrgf = Write out raypaths? (<0=all,0=no,>0=souce id) +! cfd = calculate Frechet derivatives? (0=no,1=yes) +! csid = current source id +! fdm = Frechet derivative matrix +! nhp = Number of ray segment-B-spline cell hit points +! vrat = length ratio of ray sub-segment +! chp = pointer to incremental change in x or z cell +! drx,drz = distance from reference node of cell +! produ = variable for trilinear interpolation +! vel = velocity at current point +! velo = velocity at previous point +! v,w = local variables of x,z +! vi,wi = B-spline basis functions at current point +! vio,wio = vi,wi for previous point +! ivxt,ivzt = temporary ivr,ivx,ivz values +! rigx,rigz = end point of sub-segment of ray path +! ipxt,ipzt = temporary ipx,ipz values +! dinc = path length of ray sub-segment +! rayr,rayx,rayz = ray path coordinates in single precision +! isx,isz = current source cell location +! scx,scz = current source coordinates +! sred = source to ray endpoint distance +! igref = ray endpoint lies in refined grid? (0=no,1=yes) +! nopath = switch to indicate that no path is present +! +! Allocate memory to arrays for storing ray path geometry +! +maxrp=nnx*nnz +ALLOCATE(rgx(maxrp+1), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: SUBROUTINE rpaths: REAL rgx' +ENDIF +ALLOCATE(rgz(maxrp+1), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: SUBROUTINE rpaths: REAL rgz' +ENDIF +! +! Allocate memory to partial derivative array +! +!fang!IF(cfd.EQ.1)THEN +!fang! ALLOCATE(fdm(0:nvz+1,0:nvx+1), STAT=checkstat) +!fang! IF(checkstat > 0)THEN +!fang! WRITE(6,*)'Error with ALLOCATE: SUBROUTINE rpaths: REAL fdm' +!fang! ENDIF +!fang!ENDIF +! +! Locate current source cell +! +IF(asgr.EQ.1)THEN + isx=INT((scx-goxr)/dnxr)+1 + isz=INT((scz-gozr)/dnzr)+1 +ELSE + isx=INT((scx-gox)/dnx)+1 + isz=INT((scz-goz)/dnz)+1 +ENDIF +! +! Set ray incremental path length equal to half width +! of cell +! + dpl=dnx*earth + rd1=dnz*earth*SIN(gox) + IF(rd1.LT.dpl)dpl=rd1 + rd1=dnz*earth*SIN(gox+(nnx-1)*dnx) + IF(rd1.LT.dpl)dpl=rd1 + dpl=0.5*dpl +! +! Loop through all the receivers +! +!fang!DO i=1,nrc +! +! If path does not exist, then cycle the loop +! +fdm=0 +!fang! IF(cfd.EQ.1)THEN +!fang! fdm=0.0 +!fang! ENDIF +!fang! IF(srs(i,csid).EQ.0)THEN +!fang! IF(wrgf.EQ.csid.OR.wrgf.LT.0)THEN +!fang! WRITE(40)nopath +!fang! ENDIF +!fang! IF(cfd.EQ.1)THEN +!fang! WRITE(50)nopath +!fang! ENDIF +!fang! CYCLE +!fang! ENDIF +! +! The first step is to locate the receiver in the grid. +! + ipx=INT((surfrcx-gox)/dnx)+1 + ipz=INT((surfrcz-goz)/dnz)+1 + sw=0 + IF(ipx.lt.1.or.ipx.ge.nnx)sw=1 + IF(ipz.lt.1.or.ipz.ge.nnz)sw=1 + IF(sw.eq.1)then + ipx=90.0-ipx*180.0/pi + ipz=ipz*180.0/pi + WRITE(6,*)"rpath Receiver lies outside model (lat,long)= ",ipx,ipz + WRITE(6,*)"TERMINATING PROGRAM!!!" + STOP + ENDIF + IF(ipx.eq.nnx)ipx=ipx-1 + IF(ipz.eq.nnz)ipz=ipz-1 +! +! First point of the ray path is the receiver +! + rgx(1)=surfrcx + rgz(1)=surfrcz +! +! Test to see if receiver is in source neighbourhood +! + sred=((scx-rgx(1))*earth)**2 + sred=sred+((scz-rgz(1))*earth*SIN(rgx(1)))**2 + sred=SQRT(sred) + IF(sred.LT.2.0*dpl)THEN + rgx(2)=scx + rgz(2)=scz + nrp=2 + sw=1 + ENDIF +! +! If required, see if receiver lies within refined grid +! + IF(asgr.EQ.1)THEN + ipxr=INT((surfrcx-goxr)/dnxr)+1 + ipzr=INT((surfrcz-gozr)/dnzr)+1 + igref=1 + IF(ipxr.LT.1.OR.ipxr.GE.nnxr)igref=0 + IF(ipzr.LT.1.OR.ipzr.GE.nnzr)igref=0 + IF(igref.EQ.1)THEN + IF(nstsr(ipzr,ipxr).NE.0.OR.nstsr(ipzr+1,ipxr).NE.0)igref=0 + IF(nstsr(ipzr,ipxr+1).NE.0.OR.nstsr(ipzr+1,ipxr+1).NE.0)igref=0 + ENDIF + ELSE + igref=0 + ENDIF +! +! Due to the method for calculating traveltime gradient, if the +! the ray end point lies in the source cell, then we are also done. +! + IF(sw.EQ.0)THEN + IF(asgr.EQ.1)THEN + IF(igref.EQ.1)THEN + IF(ipxr.EQ.isx)THEN + IF(ipzr.EQ.isz)THEN + rgx(2)=scx + rgz(2)=scz + nrp=2 + sw=1 + ENDIF + ENDIF + ENDIF + ELSE + IF(ipx.EQ.isx)THEN + IF(ipz.EQ.isz)THEN + rgx(2)=scx + rgz(2)=scz + nrp=2 + sw=1 + ENDIF + ENDIF + ENDIF + ENDIF +! +! Now trace ray from receiver to "source" +! + DO j=1,maxrp + IF(sw.EQ.1)EXIT +! +! Calculate traveltime gradient vector for current cell using +! a first-order or second-order scheme. +! + IF(igref.EQ.1)THEN +! +! In this case, we are in the refined grid. +! +! First order scheme applied here. +! + dtx=ttnr(ipzr,ipxr+1)-ttnr(ipzr,ipxr) + dtx=dtx+ttnr(ipzr+1,ipxr+1)-ttnr(ipzr+1,ipxr) + dtx=dtx/(2.0*earth*dnxr) + dtz=ttnr(ipzr+1,ipxr)-ttnr(ipzr,ipxr) + dtz=dtz+ttnr(ipzr+1,ipxr+1)-ttnr(ipzr,ipxr+1) + dtz=dtz/(2.0*earth*SIN(rgx(j))*dnzr) + ELSE +! +! Here, we are in the coarse grid. +! +! First order scheme applied here. +! + dtx=ttn(ipz,ipx+1)-ttn(ipz,ipx) + dtx=dtx+ttn(ipz+1,ipx+1)-ttn(ipz+1,ipx) + dtx=dtx/(2.0*earth*dnx) + dtz=ttn(ipz+1,ipx)-ttn(ipz,ipx) + dtz=dtz+ttn(ipz+1,ipx+1)-ttn(ipz,ipx+1) + dtz=dtz/(2.0*earth*SIN(rgx(j))*dnz) + ENDIF +! +! Calculate the next ray path point +! + rd1=SQRT(dtx**2+dtz**2) + rgx(j+1)=rgx(j)-dpl*dtx/(earth*rd1) + rgz(j+1)=rgz(j)-dpl*dtz/(earth*SIN(rgx(j))*rd1) +! +! Determine which cell the new ray endpoint +! lies in. +! + ipxo=ipx + ipzo=ipz + IF(asgr.EQ.1)THEN +! +! Here, we test to see whether the ray endpoint lies +! within a cell of the refined grid +! + ipxr=INT((rgx(j+1)-goxr)/dnxr)+1 + ipzr=INT((rgz(j+1)-gozr)/dnzr)+1 + igref=1 + IF(ipxr.LT.1.OR.ipxr.GE.nnxr)igref=0 + IF(ipzr.LT.1.OR.ipzr.GE.nnzr)igref=0 + IF(igref.EQ.1)THEN + IF(nstsr(ipzr,ipxr).NE.0.OR.nstsr(ipzr+1,ipxr).NE.0)igref=0 + IF(nstsr(ipzr,ipxr+1).NE.0.OR.nstsr(ipzr+1,ipxr+1).NE.0)igref=0 + ENDIF + ipx=INT((rgx(j+1)-gox)/dnx)+1 + ipz=INT((rgz(j+1)-goz)/dnz)+1 + ELSE + ipx=INT((rgx(j+1)-gox)/dnx)+1 + ipz=INT((rgz(j+1)-goz)/dnz)+1 + igref=0 + ENDIF +! +! Test the proximity of the source to the ray end point. +! If it is less than dpl then we are done +! + sred=((scx-rgx(j+1))*earth)**2 + sred=sred+((scz-rgz(j+1))*earth*SIN(rgx(j+1)))**2 + sred=SQRT(sred) + sw=0 + IF(sred.LT.2.0*dpl)THEN + rgx(j+2)=scx + rgz(j+2)=scz + nrp=j+2 + sw=1 +!fang! IF(cfd.NE.1)EXIT + ENDIF +! +! Due to the method for calculating traveltime gradient, if the +! the ray end point lies in the source cell, then we are also done. +! + IF(sw.EQ.0)THEN + IF(asgr.EQ.1)THEN + IF(igref.EQ.1)THEN + IF(ipxr.EQ.isx)THEN + IF(ipzr.EQ.isz)THEN + rgx(j+2)=scx + rgz(j+2)=scz + nrp=j+2 + sw=1 + !fang! IF(cfd.NE.1)EXIT + ENDIF + ENDIF + ENDIF + ELSE + IF(ipx.EQ.isx)THEN + IF(ipz.EQ.isz)THEN + rgx(j+2)=scx + rgz(j+2)=scz + nrp=j+2 + sw=1 + !fang! IF(cfd.NE.1)EXIT + ENDIF + ENDIF + ENDIF + ENDIF +! +! Test whether ray path segment extends beyond +! box boundaries +! + IF(ipx.LT.1)THEN + rgx(j+1)=gox + ipx=1 + rbint=1 + ENDIF + IF(ipx.GE.nnx)THEN + rgx(j+1)=gox+(nnx-1)*dnx + ipx=nnx-1 + rbint=1 + ENDIF + IF(ipz.LT.1)THEN + rgz(j+1)=goz + ipz=1 + rbint=1 + ENDIF + IF(ipz.GE.nnz)THEN + rgz(j+1)=goz+(nnz-1)*dnz + ipz=nnz-1 + rbint=1 + ENDIF +! +! Calculate the Frechet derivatives if required. +! + !fang! IF(cfd.EQ.1)THEN +! +! First determine which B-spline cell the refined cells +! containing the ray path segment lies in. If they lie +! in more than one, then we need to divide the problem +! into separate parts (up to three). +! + ivx=INT((ipx-1)/gdx)+1 + ivz=INT((ipz-1)/gdz)+1 + ivxo=INT((ipxo-1)/gdx)+1 + ivzo=INT((ipzo-1)/gdz)+1 +! +! Calculate up to two hit points between straight +! ray segment and cell faces. +! + nhp=0 + IF(ivx.NE.ivxo)THEN + nhp=nhp+1 + IF(ivx.GT.ivxo)THEN + xi=gox+(ivx-1)*dvx + ELSE + xi=gox+ivx*dvx + ENDIF + vrat(nhp)=(xi-rgx(j))/(rgx(j+1)-rgx(j)) + chp(nhp)=1 + ENDIF + IF(ivz.NE.ivzo)THEN + nhp=nhp+1 + IF(ivz.GT.ivzo)THEN + zi=goz+(ivz-1)*dvz + ELSE + zi=goz+ivz*dvz + ENDIF + rd1=(zi-rgz(j))/(rgz(j+1)-rgz(j)) + IF(nhp.EQ.1)THEN + vrat(nhp)=rd1 + chp(nhp)=2 + ELSE + IF(rd1.GE.vrat(nhp-1))THEN + vrat(nhp)=rd1 + chp(nhp)=2 + ELSE + vrat(nhp)=vrat(nhp-1) + chp(nhp)=chp(nhp-1) + vrat(nhp-1)=rd1 + chp(nhp-1)=2 + ENDIF + ENDIF + ENDIF + nhp=nhp+1 + vrat(nhp)=1.0 + chp(nhp)=0 +! +! Calculate the velocity, v and w values of the +! first point +! + drx=(rgx(j)-gox)-(ipxo-1)*dnx + drz=(rgz(j)-goz)-(ipzo-1)*dnz + vel=0.0 + DO l=1,2 + DO m=1,2 + produ=(1.0-ABS(((m-1)*dnz-drz)/dnz)) + produ=produ*(1.0-ABS(((l-1)*dnx-drx)/dnx)) + IF(ipzo-1+m.LE.nnz.AND.ipxo-1+l.LE.nnx)THEN + vel=vel+veln(ipzo-1+m,ipxo-1+l)*produ + ENDIF + ENDDO + ENDDO + drx=(rgx(j)-gox)-(ivxo-1)*dvx + drz=(rgz(j)-goz)-(ivzo-1)*dvz + v=drx/dvx + w=drz/dvz +! +! Calculate the 12 basis values at the point +! + vi(1)=(1.0-v)**3/6.0 + vi(2)=(4.0-6.0*v**2+3.0*v**3)/6.0 + vi(3)=(1.0+3.0*v+3.0*v**2-3.0*v**3)/6.0 + vi(4)=v**3/6.0 + wi(1)=(1.0-w)**3/6.0 + wi(2)=(4.0-6.0*w**2+3.0*w**3)/6.0 + wi(3)=(1.0+3.0*w+3.0*w**2-3.0*w**3)/6.0 + wi(4)=w**3/6.0 + ivxt=ivxo + ivzt=ivzo +! +! Now loop through the one or more sub-segments of the +! ray path segment and calculate partial derivatives +! + DO k=1,nhp + velo=vel + vio=vi + wio=wi + IF(k.GT.1)THEN + IF(chp(k-1).EQ.1)THEN + ivxt=ivx + ELSE IF(chp(k-1).EQ.2)THEN + ivzt=ivz + ENDIF + ENDIF +! +! Calculate the velocity, v and w values of the +! new point +! + rigz=rgz(j)+vrat(k)*(rgz(j+1)-rgz(j)) + rigx=rgx(j)+vrat(k)*(rgx(j+1)-rgx(j)) + ipxt=INT((rigx-gox)/dnx)+1 + ipzt=INT((rigz-goz)/dnz)+1 + drx=(rigx-gox)-(ipxt-1)*dnx + drz=(rigz-goz)-(ipzt-1)*dnz + vel=0.0 + DO m=1,2 + DO n=1,2 + produ=(1.0-ABS(((n-1)*dnz-drz)/dnz)) + produ=produ*(1.0-ABS(((m-1)*dnx-drx)/dnx)) + IF(ipzt-1+n.LE.nnz.AND.ipxt-1+m.LE.nnx)THEN + vel=vel+veln(ipzt-1+n,ipxt-1+m)*produ + ENDIF + ENDDO + ENDDO + drx=(rigx-gox)-(ivxt-1)*dvx + drz=(rigz-goz)-(ivzt-1)*dvz + v=drx/dvx + w=drz/dvz +! +! Calculate the 8 basis values at the new point +! + vi(1)=(1.0-v)**3/6.0 + vi(2)=(4.0-6.0*v**2+3.0*v**3)/6.0 + vi(3)=(1.0+3.0*v+3.0*v**2-3.0*v**3)/6.0 + vi(4)=v**3/6.0 + wi(1)=(1.0-w)**3/6.0 + wi(2)=(4.0-6.0*w**2+3.0*w**3)/6.0 + wi(3)=(1.0+3.0*w+3.0*w**2-3.0*w**3)/6.0 + wi(4)=w**3/6.0 +! +! Calculate the incremental path length +! + IF(k.EQ.1)THEN + dinc=vrat(k)*dpl + ELSE + dinc=(vrat(k)-vrat(k-1))*dpl + ENDIF +! +! Now compute the 16 contributions to the partial +! derivatives. +! + DO l=1,4 + DO m=1,4 + rd1=vi(m)*wi(l)/vel**2 + rd2=vio(m)*wio(l)/velo**2 + rd1=-(rd1+rd2)*dinc/2.0 + !fang! rd1=vi(m)*wi(l) + !fang! rd2=vio(m)*wio(l) + !fang! rd1=(rd1+rd2)*dinc/2.0 + rd2=fdm(ivzt-2+l,ivxt-2+m) + fdm(ivzt-2+l,ivxt-2+m)=rd1+rd2 + ENDDO + ENDDO + ENDDO + !fang! ENDIF +!fang! IF(j.EQ.maxrp.AND.sw.EQ.0)THEN +!fang! WRITE(6,*)'Error with ray path detected!!!' +!fang! WRITE(6,*)'Source id: ',csid +!fang! WRITE(6,*)'Receiver id: ',i +!fang! ENDIF + ENDDO +! +! Write ray paths to output file +! +!fang! IF(wrgf.EQ.csid.OR.wrgf.LT.0)THEN + if(writepath == 1) then + WRITE(40,*)'#',nrp + DO j=1,nrp + rayx=(pi/2-rgx(j))*180.0/pi + rayz=rgz(j)*180.0/pi + WRITE(40,*)rayx,rayz + ENDDO + endif +!fang! ENDIF +! +! Write partial derivatives to output file +! +!fang! IF(cfd.EQ.1)THEN +!fang!! +!fang!! Determine the number of non-zero elements. +!fang!! +!fang! isum=0 +!fang! DO j=0,nvz+1 +!fang! DO k=0,nvx+1 +!fang! IF(ABS(fdm(j,k)).GE.ftol)isum=isum+1 +!fang! ENDDO +!fang! ENDDO +!fang! WRITE(50)isum +!fang! isum=0 +!fang! DO j=0,nvz+1 +!fang! DO k=0,nvx+1 +!fang! isum=isum+1 +!fang! IF(ABS(fdm(j,k)).GE.ftol)WRITE(50)isum,fdm(j,k) +!fang! ENDDO +!fang! ENDDO +!fang! ENDIF +!fang!ENDDO +!fang!IF(cfd.EQ.1)THEN +!fang! DEALLOCATE(fdm, STAT=checkstat) +!fang! IF(checkstat > 0)THEN +!fang! WRITE(6,*)'Error with DEALLOCATE: SUBROUTINE rpaths: fdm' +!fang! ENDIF +!fang!ENDIF +DEALLOCATE(rgx,rgz, STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with DEALLOCATE: SUBROUTINE rpaths: rgx,rgz' +ENDIF +END SUBROUTINE rpaths + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! TYPE: SUBROUTINE +! CODE: FORTRAN 90 +! This subroutine is passed four node values which lie on +! the corners of a rectangle and the coordinates of a point +! lying within the rectangle. It calculates the value at +! the internal point by using bilinear interpolation. +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +SUBROUTINE bilinear(nv,dsx,dsz,biv) +USE globalp +IMPLICIT NONE +INTEGER :: i,j +REAL(KIND=i10) :: dsx,dsz,biv +REAL(KIND=i10), DIMENSION(2,2) :: nv +REAL(KIND=i10) :: produ +! +! nv = four node vertex values +! dsx,dsz = distance between internal point and top left node +! dnx,dnz = width and height of node rectangle +! biv = value at internal point calculated by bilinear interpolation +! produ = product variable +! +biv=0.0 +DO i=1,2 + DO j=1,2 + produ=(1.0-ABS(((i-1)*dnx-dsx)/dnx))*(1.0-ABS(((j-1)*dnz-dsz)/dnz)) + biv=biv+nv(i,j)*produ + ENDDO +ENDDO +END SUBROUTINE bilinear + + + subroutine refineGrid2LayerMdl(minthk,mmax,dep,vp,vs,rho,& + rmax,rdep,rvp,rvs,rrho,rthk) +!!--------------------------------------------------------------------c +!!refine grid based model to layerd based model +!!INPUT: minthk: is the minimum thickness of the refined layered model +!! mmax: number of depth grid points in the model +!! dep, vp, vs, rho: the depth-grid model parameters +!! rmax: number of layers in the fined layered model +!! rdep, rvp, rvs, rrho, rthk: the refined layered velocity model +!! + implicit none + integer NL + parameter (NL=200) + integer mmax,rmax + real minthk + real dep(*),vp(*),vs(*),rho(*) + real rdep(NL),rvp(NL),rvs(NL),rrho(NL),rthk(NL) + integer nsublay(NL) + real thk,newthk,initdep + integer i,j,k,ngrid + + k = 0 + initdep = 0.0 + do i = 1, mmax-1 + thk = dep(i+1)-dep(i) + nsublay(i) = int((thk+1.0e-4)/minthk) + 1 + ngrid = nsublay(i)+1 + newthk = thk/nsublay(i) + do j = 1, nsublay(i) + k = k + 1 + rthk(k) = newthk + rdep(k) = initdep + rthk(k) + initdep = rdep(k) + rvp(k) = vp(i)+(2*j-1)*(vp(i+1)-vp(i))/(2*nsublay(i)) + rvs(k) = vs(i)+(2*j-1)*(vs(i+1)-vs(i))/(2*nsublay(i)) + rrho(k) = rho(i)+(2*j-1)*(rho(i+1)-rho(i))/(2*nsublay(i)) + enddo + enddo +!! half space model + k = k + 1 + rthk(k) = 0.0 + rvp(k) = vp(mmax) + rvs(k) = vs(mmax) + rrho(k) = rho(mmax) + + rmax = k + +!! do i = 1, mmax +!! write(*,*) dep(i),vp(i),vs(i),rho(i) +!! enddo +!! print *, '---------------------------------' +!! do i = 1, rmax +!! write(*,*) rdep(i),rthk(i),rvp(i),rvs(i),rrho(i) +!! enddo + + return + end +subroutine synthetic(nx,ny,nz,nparpi,vels,obst, & + goxdf,gozdf,dvxdf,dvzdf,kmaxRc,kmaxRg,kmaxLc,kmaxLg, & + tRc,tRg,tLc,tLg,wavetype,igrt,periods,depz,minthk, & + scxf,sczf,rcxf,rczf,nrc1,nsrcsurf1,knum1,kmax,nsrcsurf,nrcf,noiselevel) + +USE globalp +USE traveltime +IMPLICIT NONE +!CHARACTER (LEN=30) ::grid,frechet +!CHARACTER (LEN=40) :: sources,receivers,otimes +!CHARACTER (LEN=30) :: travelt,rtravel,wrays,cdum +INTEGER :: i,j,k,l,nsrc,tnr,urg +INTEGER :: sgs,isx,isz,sw,idm1,idm2,nnxb,nnzb +INTEGER :: ogx,ogz,grdfx,grdfz,maxbt +REAL(KIND=i10) :: x,z,goxb,gozb,dnxb,dnzb +!REAL(KIND=i10), DIMENSION (:,:), ALLOCATABLE :: scxf,sczf +!REAL(KIND=i10), DIMENSION (:,:,:), ALLOCATABLE :: rcxf,rczf +! +! sources = File containing source locations +! receivers = File containing receiver locations +! grid = File containing grid of velocity vertices for +! resampling on a finer grid with cubic B-splines +! frechet = output file containing matrix of frechet derivatives +! travelt = File name for storage of traveltime field +! wttf = Write traveltimes to file? (0=no,>0=source id) +! fom = Use first-order(0) or mixed-order(1) scheme +! nsrc = number of sources +! scx,scz = source location in r,x,z +! scx,scz = source location in r,x,z +! x,z = temporary variables for source location +! fsrt = find source-receiver traveltimes? (0=no,1=yes) +! rtravel = output file for source-receiver traveltimes +! cdum = dummy character variable ! wrgf = write ray geometries to file? (<0=all,0=no,>0=source id.) +! wrays = file containing raypath geometries +! cfd = calculate Frechet derivatives? (0=no, 1=yes) +! tnr = total number of receivers +! sgs = Extent of refined source grid +! isx,isz = cell containing source +! nnxb,nnzb = Backup for nnz,nnx +! goxb,gozb = Backup for gox,goz +! dnxb,dnzb = Backup for dnx,dnz +! ogx,ogz = Location of refined grid origin +! gridfx,grdfz = Number of refined nodes per cell +! urg = use refined grid (0=no,1=yes,2=previously used) +! maxbt = maximum size of narrow band binary tree +! otimes = file containing source-receiver association information +!c----------------------------------------------------------------- +! variables defined by Hongjian Fang + integer nx,ny,nz + integer kmax,nsrcsurf,nrcf + real vels(nx,ny,nz) + real obst(*) + real goxdf,gozdf,dvxdf,dvzdf + integer kmaxRc,kmaxRg,kmaxLc,kmaxLg + real*8 tRc(*),tRg(*),tLc(*),tLg(*) + integer wavetype(nsrcsurf,kmax) + integer periods(nsrcsurf,kmax),nrc1(nsrcsurf,kmax),nsrcsurf1(kmax) + integer knum1(kmax),igrt(nsrcsurf,kmax) + real scxf(nsrcsurf,kmax),sczf(nsrcsurf,kmax),rcxf(nrcf,nsrcsurf,kmax),rczf(nrcf,nsrcsurf,kmax) + real minthk + integer nparpi + + + real vpz(nz),vsz(nz),rhoz(nz),depz(nz) + real*8 pvRc(nx*ny,kmaxRc),pvRg(nx*ny,kmaxRg),pvLc(nx*ny,kmaxLc),pvLg(nx*ny,kmaxLg) + real*8 velf(ny*nx) + integer kmax1,kmax2,kmax3,count1 + integer igr + integer iwave + integer knumi,srcnum + real cbst1 + real noiselevel + real gaussian + external gaussian + integer ii,jj,kk,nn,istep +gdx=5 +gdz=5 +asgr=1 +sgdl=8 +sgs=8 +earth=6371.0 +fom=1 +snb=0.5 +goxd=goxdf +gozd=gozdf +dvxd=dvxdf +dvzd=dvzdf +nvx=nx-2 +nvz=ny-2 +ALLOCATE(velv(0:nvz+1,0:nvx+1), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: SUBROUTINE gridder: REAL velv' +ENDIF +! +! Convert from degrees to radians +! +dvx=dvxd*pi/180.0 +dvz=dvzd*pi/180.0 +gox=(90.0-goxd)*pi/180.0 +goz=gozd*pi/180.0 +! +! Compute corresponding values for propagation grid. +! +nnx=(nvx-1)*gdx+1 +nnz=(nvz-1)*gdz+1 +dnx=dvx/gdx +dnz=dvz/gdz +dnxd=dvxd/gdx +dnzd=dvzd/gdz +ALLOCATE(veln(nnz,nnx), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: SUBROUTINE gridder: REAL veln' +ENDIF + +! +! Call a subroutine which reads in the velocity grid +! +!CALL gridder(grid) +! +! Read in all source coordinates. +! +! +! Now work out, source by source, the first-arrival traveltime +! field plus source-receiver traveltimes +! and ray paths if required. First, allocate memory to the +! traveltime field array +! +ALLOCATE(ttn(nnz,nnx), STAT=checkstat) +IF(checkstat > 0)THEN + WRITE(6,*)'Error with ALLOCATE: PROGRAM fmmin2d: REAL ttn' +ENDIF + rbint=0 +! +! Allocate memory for node status and binary trees +! +ALLOCATE(nsts(nnz,nnx)) +maxbt=NINT(snb*nnx*nnz) +ALLOCATE(btg(maxbt)) + +!allocate(fdm(0:nvz+1,0:nvx+1)) + + if(kmaxRc.gt.0) then + iwave=2 + igr=0 + call caldespersion(nx,ny,nz,vels,pvRc, & + iwave,igr,kmaxRc,tRc,depz,minthk) + endif + + if(kmaxRg.gt.0) then + iwave=2 + igr=1 + call caldespersion(nx,ny,nz,vels,pvRg, & + iwave,igr,kmaxRg,tRg,depz,minthk) + endif + + if(kmaxLc.gt.0) then + iwave=1 + igr=0 + call caldespersion(nx,ny,nz,vels,pvLc, & + iwave,igr,kmaxLc,tLc,depz,minthk) + endif + + if(kmaxLg.gt.0) then + iwave=1 + igr=1 + call caldespersion(nx,ny,nz,vels,pvLg, & + iwave,igr,kmaxLg,tLg,depz,minthk) + endif + +!nar=0 +count1=0 + +!sen_vs=0 +!sen_vp=0 +!sen_rho=0 +kmax1=kmaxRc +kmax2=kmaxRc+kmaxRg +kmax3=kmaxRc+kmaxRg+kmaxLc +do knumi=1,kmax +do srcnum=1,nsrcsurf1(knum1(knumi)) + if(wavetype(srcnum,knum1(knumi))==2.and.igrt(srcnum,knum1(knumi))==0) then + velf(1:nx*ny)=pvRc(1:nx*ny,periods(srcnum,knum1(knumi))) +! sen_vs(:,1:kmax1,:)=sen_vsRc(:,1:kmaxRc,:)!(:,nt(istep),:) +! sen_vp(:,1:kmax1,:)=sen_vpRc(:,1:kmaxRc,:)!(:,nt(istep),:) +! sen_rho(:,1:kmax1,:)=sen_rhoRc(:,1:kmaxRc,:)!(:,nt(istep),:) + endif + if(wavetype(srcnum,knum1(knumi))==2.and.igrt(srcnum,knum1(knumi))==1) then + velf(1:nx*ny)=pvRg(1:nx*ny,periods(srcnum,knum1(knumi))) +! sen_vs(:,kmax1+1:kmax2,:)=sen_vsRg(:,1:kmaxRg,:)!(:,nt,:) +! sen_vp(:,kmax1+1:kmax2,:)=sen_vpRg(:,1:kmaxRg,:)!(:,nt,:) +! sen_rho(:,kmax1+1:kmax2,:)=sen_rhoRg(:,1:kmaxRg,:)!(:,nt,:) + endif + if(wavetype(srcnum,knum1(knumi))==1.and.igrt(srcnum,knum1(knumi))==0) then + velf(1:nx*ny)=pvLc(1:nx*ny,periods(srcnum,knum1(knumi))) +! sen_vs(:,kmax2+1:kmax3,:)=sen_vsLc(:,1:kmaxLc,:)!(:,nt,:) +! sen_vp(:,kmax2+1:kmax3,:)=sen_vpLc(:,1:kmaxLc,:)!(:,nt,:) +! sen_rho(:,kmax2+1:kmax3,:)=sen_rhoLc(:,1:kmaxLc,:)!(:,nt,:) + endif + if(wavetype(srcnum,knum1(knumi))==1.and.igrt(srcnum,knum1(knumi))==1) then + velf(1:nx*ny)=pvLg(1:nx*ny,periods(srcnum,knum1(knumi))) +! sen_vs(:,kmax3+1:kmax,:)=sen_vsLg(:,1:kmaxLg,:)!(:,nt,:) +! sen_vp(:,kmax3+1:kmax,:)=sen_vpLg(:,1:kmaxLg,:)!(:,nt,:) +! sen_rho(:,kmax3+1:kmax,:)=sen_rhoLg(:,1:kmaxLg,:)!(:,nt,:) + endif + +call gridder(velf) + x=scxf(srcnum,knum1(knumi)) + z=sczf(srcnum,knum1(knumi)) +! +! Begin by computing refined source grid if required +! + urg=0 + IF(asgr.EQ.1)THEN +! +! Back up coarse velocity grid to a holding matrix +! + ALLOCATE(velnb(nnz,nnx)) +! MODIFIEDY BY HONGJIAN FANG @ USTC 2014/04/17 + velnb(1:nnz,1:nnx)=veln(1:nnz,1:nnx) + nnxb=nnx + nnzb=nnz + dnxb=dnx + dnzb=dnz + goxb=gox + gozb=goz +! +! Identify nearest neighbouring node to source +! + isx=INT((x-gox)/dnx)+1 + isz=INT((z-goz)/dnz)+1 + sw=0 + IF(isx.lt.1.or.isx.gt.nnx)sw=1 + IF(isz.lt.1.or.isz.gt.nnz)sw=1 + IF(sw.eq.1)then + isx=90.0-isx*180.0/pi + isz=isz*180.0/pi + WRITE(6,*)"Source lies outside bounds of model (lat,long)= ",isx,isz + WRITE(6,*)"TERMINATING PROGRAM!!!" + STOP + ENDIF + IF(isx.eq.nnx)isx=isx-1 + IF(isz.eq.nnz)isz=isz-1 +! +! Now find rectangular box that extends outward from the nearest source node +! to "sgs" nodes away. +! + vnl=isx-sgs + IF(vnl.lt.1)vnl=1 + vnr=isx+sgs + IF(vnr.gt.nnx)vnr=nnx + vnt=isz-sgs + IF(vnt.lt.1)vnt=1 + vnb=isz+sgs + IF(vnb.gt.nnz)vnb=nnz + nrnx=(vnr-vnl)*sgdl+1 + nrnz=(vnb-vnt)*sgdl+1 + drnx=dvx/REAL(gdx*sgdl) + drnz=dvz/REAL(gdz*sgdl) + gorx=gox+dnx*(vnl-1) + gorz=goz+dnz*(vnt-1) + nnx=nrnx + nnz=nrnz + dnx=drnx + dnz=drnz + gox=gorx + goz=gorz +! +! Reallocate velocity and traveltime arrays if nnx>nnxb or +! nnz 0)THEN + WRITE(6,*)'Error with DEALLOCATE: PROGRAM fmmin2d: velnb' + ENDIF +ENDIF +enddo +enddo +!deallocate(fdm) +deallocate(velv,veln,ttn,nsts,btg) +END subroutine +subroutine caldespersion(nx,ny,nz,vel,pvRc, & + iwave,igr,kmaxRc,tRc,depz,minthk) + use omp_lib + implicit none + + integer nx,ny,nz + real vel(nx,ny,nz) + + integer iwave,igr + real minthk + real depz(nz) + integer kmaxRc + real*8 tRc(kmaxRc) + real*8 pvRc(nx*ny,kmaxRc) + + + + real vpz(nz),vsz(nz),rhoz(nz) + integer mmax,iflsph,mode,rmax + integer ii,jj,k,i,nn,kk + integer,parameter::NL=200 + integer,parameter::NP=60 + real*8 cg1(NP),cg2(NP),cga,cgRc(NP) + real rdep(NL),rvp(NL),rvs(NL),rrho(NL),rthk(NL) + real depm(NL),vpm(NL),vsm(NL),rhom(NL),thkm(NL) + real dlnVs,dlnVp,dlnrho + + + mmax=nz + iflsph=1 + mode=1 + dlnVs=0.01 + dlnVp=0.01 + dlnrho=0.01 + +!$omp parallel & +!$omp default(private) & +!$omp shared(depz,nx,ny,nz,minthk,kmaxRc,mmax,vel) & +!$omp shared(tRc,pvRc,iflsph,iwave,mode,igr) +!$omp do + do jj=1,ny + do ii=1,nx + vsz(1:nz)=vel(ii,jj,1:nz) + ! some other emperical relationship maybe better, + do k=1,nz + vpz(k)=0.9409 + 2.0947*vsz(k) - 0.8206*vsz(k)**2+ & + 0.2683*vsz(k)**3 - 0.0251*vsz(k)**4 + rhoz(k)=1.6612*vpz(k) - 0.4721*vpz(k)**2 + & + 0.0671*vpz(k)**3 - 0.0043*vpz(k)**4 + & + 0.000106*vpz(k)**5 + enddo + + call refineGrid2LayerMdl(minthk,mmax,depz,vpz,vsz,rhoz,rmax,rdep,& + rvp,rvs,rrho,rthk) + call surfdisp96(rthk,rvp,rvs,rrho,rmax,iflsph,iwave,mode,igr,kmaxRc,& + tRc,cgRc) + pvRc((jj-1)*nx+ii,1:kmaxRc)=cgRc(1:kmaxRc) + enddo + enddo +!$omp end do +!$omp end parallel + end subroutine + + diff --git a/srcsmooth/DSurfTomo b/srcsmooth/DSurfTomo new file mode 100755 index 0000000000000000000000000000000000000000..692997eb1065aaf1c8612ad1109055fe0f1677e6 GIT binary patch literal 294584 zcmeFaf1FiSz5hQ4W_0v|dqzPoW>vJtB!el8KA*eZJmn?KAs;O1H=N z&pQt|d#(3-y??CtTI;>uYwfl7{>{GKZyZ@xmKt1EHg8Z_S=liDS5}slb(PhUDl2;j 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zNp8v{rA#(Tr=hs$C6jp487D5FNJ@^WmRwT!aaztQ@n23Swak&#l?}-;lW?kMnoNpG PVKZg4!DTPGlGFbIezjnE literal 0 HcmV?d00001 diff --git a/srcsmooth/Makefile b/srcsmooth/Makefile new file mode 100644 index 0000000..06cdfb2 --- /dev/null +++ b/srcsmooth/Makefile @@ -0,0 +1,20 @@ +CMD = DSurfTomo +FC = gfortran +FFLAGS = -O3 -ffixed-line-length-none -ffloat-store\ + -W -fbounds-check -m64 -mcmodel=medium +F90SRCS = lsmrDataModule.f90 lsmrblasInterface.f90\ + lsmrblas.f90 lsmrModule.f90 delsph.f90\ + aprod.f90 gaussian.f90 main.f90 +FSRCS = surfdisp96.f +OBJS = $(F90SRCS:%.f90=%.o) $(FSRCS:%.f=%.o) CalSurfG.o +all:$(CMD) +$(CMD):$(OBJS) + $(FC) -fopenmp $^ -o $@ +CalSurfG.o:CalSurfG.f90 + $(FC) -fopenmp $(FFLAGS) -c $< -o $@ +%.o: %.f90 + $(FC) $(FFLAGS) -c $(@F:.o=.f90) -o $@ +%.o: %.f + $(FC) $(FFLAGS) -c $(@F:.o=.f) -o $@ +clean: + rm *.o *.mod $(CMD) diff --git a/src/aprod.f90 b/srcsmooth/aprod.f90 similarity index 100% rename from src/aprod.f90 rename to srcsmooth/aprod.f90 diff --git a/src/delsph.f90 b/srcsmooth/delsph.f90 similarity index 100% rename from src/delsph.f90 rename to srcsmooth/delsph.f90 diff --git a/src/gaussian.f90 b/srcsmooth/gaussian.f90 similarity index 100% rename from src/gaussian.f90 rename to srcsmooth/gaussian.f90 diff --git a/src/lsmrDataModule.f90 b/srcsmooth/lsmrDataModule.f90 similarity index 100% rename from src/lsmrDataModule.f90 rename to srcsmooth/lsmrDataModule.f90 diff --git a/src/lsmrModule.f90 b/srcsmooth/lsmrModule.f90 similarity index 100% rename from src/lsmrModule.f90 rename to srcsmooth/lsmrModule.f90 diff --git a/src/lsmrblas.f90 b/srcsmooth/lsmrblas.f90 similarity index 100% rename from src/lsmrblas.f90 rename to srcsmooth/lsmrblas.f90 diff --git a/src/lsmrblasInterface.f90 b/srcsmooth/lsmrblasInterface.f90 similarity index 100% rename from src/lsmrblasInterface.f90 rename to srcsmooth/lsmrblasInterface.f90 diff --git a/src/mainold.f90 b/srcsmooth/main.f90 similarity index 83% rename from src/mainold.f90 rename to srcsmooth/main.f90 index 2a08522..9e5e626 100644 --- a/src/mainold.f90 +++ b/srcsmooth/main.f90 @@ -47,7 +47,6 @@ integer localSize real mean,std_devs,balances,balanceb integer msurf - integer maxlevel,maxleveld real,parameter:: tolr=1e-4 real,dimension(:),allocatable:: obst,dsyn,cbst,wt,dtres,dist,datweight real,dimension(:),allocatable:: pvall,depRp,pvRp @@ -78,7 +77,6 @@ integer HorizonType,VerticalType character line*200 integer iter,maxiter - integer iiter,initer integer maxnar real acond real anorm @@ -97,7 +95,6 @@ integer i,j,k real Minvel,MaxVel real spfra - integer domain,normt real noiselevel integer ifsyn integer writepath @@ -140,14 +137,11 @@ read(10,*) nx,ny,nz read(10,*) goxd,gozd read(10,*) dvxd,dvzd - read(10,*) nsrc,nrc + read(10,*) nsrc read(10,*) weight0,damp read(10,*) minthk read(10,*) Minvel,Maxvel - read(10,*) domain,normt - read(10,*) HorizonType,VerticalType - read(10,*) maxlevel,maxleveld - read(10,*) maxiter,initer + read(10,*) maxiter read(10,*) spfra read(10,*) kmaxRc write(*,*) 'model origin:latitude,longitue' @@ -213,6 +207,7 @@ read(10,*)noiselevel read(10,*) threshold0 close(10) + nrc=nsrc kmax=kmaxRc+kmaxRg+kmaxLc+kmaxLg ! READ MEASUREMENTS @@ -364,8 +359,7 @@ goxd,gozd,dvxd,dvzd,kmaxRc,kmaxRg,kmaxLc,kmaxLg,& tRc,tRg,tLc,tLg,wavetype,igrt,periods,depz,minthk,& scxf,sczf,rcxf,rczf,nrc1,nsrc1,knum1,kmax,& - nsrc,nrc,nar,domain,& - maxlevel,maxleveld,HorizonType,VerticalType,writepath) + nsrc,nrc,nar,writepath) do i = 1,dall cbst(i) = obst(i) - dsyn(i) @@ -421,27 +415,7 @@ weight=dnrm2(dall,cbst,1)**2/dall*weight0 nar_tmp=nar nars=0 - if (domain == 0 .and. normt==0) then - do i=1,maxvp - rw(nar+i)=weight - iw(1+nar+i)=dall+i - col(nar+i)=i - cbst(dall+i)=0 - enddo - nar = nar + maxvp - m = dall + maxvp - n = maxvp - elseif(domain == 0 .and. normt/=0) then - do i=1,maxvp - rw(nar+i)=weight - iw(1+nar+i)=dall+i - col(nar+i)=i - cbst(dall+i)=0 - enddo - nar = nar + maxvp - m = dall + maxvp - n = maxvp - else + count3=0 nvz=ny-2 nvx=nx-2 @@ -486,9 +460,6 @@ enddo m = dall + count3 n = maxvp - nars = nar - nar_tmp - rw(nar+1:nar+nars) = rw(nar_tmp+1:nar) - endif iw(1)=nar do i=1,nar @@ -518,110 +489,6 @@ if(istop==3) print*,'istop = 3, large condition number' - if (domain == 0.and.normt==0) then - do iiter = 1, initer - dtres=-cbst - call aprod(1,m,n,dv,dtres,leniw,lenrw,iw,rw) - do i=1,m - if(abs(dtres(i)).lt.tolr) then - wt(i)= 1.0/sqrt(abs(tolr)) - else - wt(i)=1.0/sqrt(abs(dtres(i))) - endif - enddo - do i=1,nar - rw(i)=rw(i)*wt(iw(i+1)) - enddo - do i=1,m - dtres(i)=cbst(i)*wt(i) - enddo - - dv = 0 - atol = 1e-3 - btol = 1e-3 - conlim = 1200 - itnlim = 1000 - istop = 0 - anorm = 0.0 - acond = 0.0 - arnorm = 0.0 - xnorm = 0.0 - - - call LSMR(m, n, leniw, lenrw,iw,rw,dtres, damp,& - atol, btol, conlim, itnlim, localSize, nout,& - dv, istop, itn, anorm, acond, rnorm, arnorm, xnorm) - if(istop==3) print*,'istop = 3, large condition number' - - do i=1,nar - rw(i)=rw(i)/wt(iw(i+1)) - enddo - - enddo ! finish inter interations for IRLS - endif - - - if(domain==0.and.normt/=0) then - do iiter = 1, initer - do i=1,n - if (abs(dv(i)).lt.tolr) then - rw(nar_tmp+i)=1.0/sqrt(tolr)*weight - else - rw(nar_tmp+i)=sqrt(1.0/abs(dv(i)))*weight - endif - enddo - dv = 0 - atol = 1e-3 - btol = 1e-3 - conlim = 1200 - itnlim = 1000 - istop = 0 - anorm = 0.0 - acond = 0.0 - arnorm = 0.0 - xnorm = 0.0 - - call LSMR(m, n, leniw, lenrw,iw,rw,cbst, damp,& - atol, btol, conlim, itnlim, localSize, nout,& - dv, istop, itn, anorm, acond, rnorm, arnorm, xnorm) - if(istop==3) print*,'istop = 3, large condition number' - enddo - endif - - - - if (domain/=0)then - do iiter = 1,initer - - dtres = 0 - call aprod(1,m,n,dv,dtres,leniw,lenrw,iw,rw) - do i = nar_tmp+1,nar - if(abs(dtres(iw(1+i))) +! Michael Saunders +! Systems Optimization Laboratory (SOL) +! Stanford University +! Stanford, CA 94305-4026, USA +! +! 17 Jul 2010: F90 LSMR derived from F90 LSQR and lsqr.m. +! 07 Sep 2010: Local reorthogonalization now works (localSize > 0). +!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +module lsmrModule + + use lsmrDataModule, only : dp + use lsmrblasInterface, only : dnrm2, dscal + implicit none + private + public :: LSMR + +contains + + !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +! subroutine LSMR ( m, n, Aprod1, Aprod2, b, damp, & +! atol, btol, conlim, itnlim, localSize, nout, & +! x, istop, itn, normA, condA, normr, normAr, normx ) + subroutine LSMR ( m, n, leniw, lenrw,iw,rw, b, damp, & + atol, btol, conlim, itnlim, localSize, nout, & + x, istop, itn, normA, condA, normr, normAr, normx ) + + integer, intent(in) :: leniw + integer, intent(in) :: lenrw + integer, intent(in) :: iw(leniw) + real, intent(in) :: rw(lenrw) + + integer, intent(in) :: m, n, itnlim, localSize, nout + integer, intent(out) :: istop, itn + real(dp), intent(in) :: b(m) + real(dp), intent(out) :: x(n) + real(dp), intent(in) :: atol, btol, conlim, damp + real(dp), intent(out) :: normA, condA, normr, normAr, normx + + interface + subroutine aprod(mode,m,n,x,y,leniw,lenrw,iw,rw) ! y := y + A*x + use lsmrDataModule, only : dp + integer, intent(in) :: mode,lenrw + integer, intent(in) :: leniw + real, intent(in) :: rw(lenrw) + integer, intent(in) :: iw(leniw) + integer, intent(in) :: m,n + real(dp), intent(inout) :: x(n) + real(dp), intent(inout) :: y(m) + end subroutine aprod +! subroutine Aprod1(m,n,x,y) ! y := y + A*x +! use lsmrDataModule, only : dp +! integer, intent(in) :: m,n +! real(dp), intent(in) :: x(n) +! real(dp), intent(inout) :: y(m) +! end subroutine Aprod1 +! +! subroutine Aprod2(m,n,x,y) ! x := x + A'*y +! use lsmrDataModule, only : dp +! integer, intent(in) :: m,n +! real(dp), intent(inout) :: x(n) +! real(dp), intent(in) :: y(m) +! end subroutine Aprod2 + end interface + + !------------------------------------------------------------------- + ! LSMR finds a solution x to the following problems: + ! + ! 1. Unsymmetric equations: Solve A*x = b + ! + ! 2. Linear least squares: Solve A*x = b + ! in the least-squares sense + ! + ! 3. Damped least squares: Solve ( A )*x = ( b ) + ! ( damp*I ) ( 0 ) + ! in the least-squares sense + ! + ! where A is a matrix with m rows and n columns, b is an m-vector, + ! and damp is a scalar. (All quantities are real.) + ! The matrix A is treated as a linear operator. It is accessed + ! by means of subroutine calls with the following purpose: + ! + ! call Aprod1(m,n,x,y) must compute y = y + A*x without altering x. + ! call Aprod2(m,n,x,y) must compute x = x + A'*y without altering y. + ! + ! LSMR uses an iterative method to approximate the solution. + ! The number of iterations required to reach a certain accuracy + ! depends strongly on the scaling of the problem. Poor scaling of + ! the rows or columns of A should therefore be avoided where + ! possible. + ! + ! For example, in problem 1 the solution is unaltered by + ! row-scaling. If a row of A is very small or large compared to + ! the other rows of A, the corresponding row of ( A b ) should be + ! scaled up or down. + ! + ! In problems 1 and 2, the solution x is easily recovered + ! following column-scaling. Unless better information is known, + ! the nonzero columns of A should be scaled so that they all have + ! the same Euclidean norm (e.g., 1.0). + ! + ! In problem 3, there is no freedom to re-scale if damp is + ! nonzero. However, the value of damp should be assigned only + ! after attention has been paid to the scaling of A. + ! + ! The parameter damp is intended to help regularize + ! ill-conditioned systems, by preventing the true solution from + ! being very large. Another aid to regularization is provided by + ! the parameter condA, which may be used to terminate iterations + ! before the computed solution becomes very large. + ! + ! Note that x is not an input parameter. + ! If some initial estimate x0 is known and if damp = 0, + ! one could proceed as follows: + ! + ! 1. Compute a residual vector r0 = b - A*x0. + ! 2. Use LSMR to solve the system A*dx = r0. + ! 3. Add the correction dx to obtain a final solution x = x0 + dx. + ! + ! This requires that x0 be available before and after the call + ! to LSMR. To judge the benefits, suppose LSMR takes k1 iterations + ! to solve A*x = b and k2 iterations to solve A*dx = r0. + ! If x0 is "good", norm(r0) will be smaller than norm(b). + ! If the same stopping tolerances atol and btol are used for each + ! system, k1 and k2 will be similar, but the final solution x0 + dx + ! should be more accurate. The only way to reduce the total work + ! is to use a larger stopping tolerance for the second system. + ! If some value btol is suitable for A*x = b, the larger value + ! btol*norm(b)/norm(r0) should be suitable for A*dx = r0. + ! + ! Preconditioning is another way to reduce the number of iterations. + ! If it is possible to solve a related system M*x = b efficiently, + ! where M approximates A in some helpful way + ! (e.g. M - A has low rank or its elements are small relative to + ! those of A), LSMR may converge more rapidly on the system + ! A*M(inverse)*z = b, + ! after which x can be recovered by solving M*x = z. + ! + ! NOTE: If A is symmetric, LSMR should not be used! + ! Alternatives are the symmetric conjugate-gradient method (CG) + ! and/or SYMMLQ. + ! SYMMLQ is an implementation of symmetric CG that applies to + ! any symmetric A and will converge more rapidly than LSMR. + ! If A is positive definite, there are other implementations of + ! symmetric CG that require slightly less work per iteration + ! than SYMMLQ (but will take the same number of iterations). + ! + ! + ! Notation + ! -------- + ! The following quantities are used in discussing the subroutine + ! parameters: + ! + ! Abar = ( A ), bbar = (b) + ! (damp*I) (0) + ! + ! r = b - A*x, rbar = bbar - Abar*x + ! + ! normr = sqrt( norm(r)**2 + damp**2 * norm(x)**2 ) + ! = norm( rbar ) + ! + ! eps = the relative precision of floating-point arithmetic. + ! On most machines, eps is about 1.0e-7 and 1.0e-16 + ! in single and double precision respectively. + ! We expect eps to be about 1e-16 always. + ! + ! LSMR minimizes the function normr with respect to x. + ! + ! + ! Parameters + ! ---------- + ! m input m, the number of rows in A. + ! + ! n input n, the number of columns in A. + ! + ! Aprod1, Aprod2 See above. + ! + ! damp input The damping parameter for problem 3 above. + ! (damp should be 0.0 for problems 1 and 2.) + ! If the system A*x = b is incompatible, values + ! of damp in the range 0 to sqrt(eps)*norm(A) + ! will probably have a negligible effect. + ! Larger values of damp will tend to decrease + ! the norm of x and reduce the number of + ! iterations required by LSMR. + ! + ! The work per iteration and the storage needed + ! by LSMR are the same for all values of damp. + ! + ! b(m) input The rhs vector b. + ! + ! x(n) output Returns the computed solution x. + ! + ! atol input An estimate of the relative error in the data + ! defining the matrix A. For example, if A is + ! accurate to about 6 digits, set atol = 1.0e-6. + ! + ! btol input An estimate of the relative error in the data + ! defining the rhs b. For example, if b is + ! accurate to about 6 digits, set btol = 1.0e-6. + ! + ! conlim input An upper limit on cond(Abar), the apparent + ! condition number of the matrix Abar. + ! Iterations will be terminated if a computed + ! estimate of cond(Abar) exceeds conlim. + ! This is intended to prevent certain small or + ! zero singular values of A or Abar from + ! coming into effect and causing unwanted growth + ! in the computed solution. + ! + ! conlim and damp may be used separately or + ! together to regularize ill-conditioned systems. + ! + ! Normally, conlim should be in the range + ! 1000 to 1/eps. + ! Suggested value: + ! conlim = 1/(100*eps) for compatible systems, + ! conlim = 1/(10*sqrt(eps)) for least squares. + ! + ! Note: Any or all of atol, btol, conlim may be set to zero. + ! The effect will be the same as the values eps, eps, 1/eps. + ! + ! itnlim input An upper limit on the number of iterations. + ! Suggested value: + ! itnlim = n/2 for well-conditioned systems + ! with clustered singular values, + ! itnlim = 4*n otherwise. + ! + ! localSize input No. of vectors for local reorthogonalization. + ! 0 No reorthogonalization is performed. + ! >0 This many n-vectors "v" (the most recent ones) + ! are saved for reorthogonalizing the next v. + ! localSize need not be more than min(m,n). + ! At most min(m,n) vectors will be allocated. + ! + ! nout input File number for printed output. If positive, + ! a summary will be printed on file nout. + ! + ! istop output An integer giving the reason for termination: + ! + ! 0 x = 0 is the exact solution. + ! No iterations were performed. + ! + ! 1 The equations A*x = b are probably compatible. + ! Norm(A*x - b) is sufficiently small, given the + ! values of atol and btol. + ! + ! 2 damp is zero. The system A*x = b is probably + ! not compatible. A least-squares solution has + ! been obtained that is sufficiently accurate, + ! given the value of atol. + ! + ! 3 damp is nonzero. A damped least-squares + ! solution has been obtained that is sufficiently + ! accurate, given the value of atol. + ! + ! 4 An estimate of cond(Abar) has exceeded conlim. + ! The system A*x = b appears to be ill-conditioned, + ! or there could be an error in Aprod1 or Aprod2. + ! + ! 5 The iteration limit itnlim was reached. + ! + ! itn output The number of iterations performed. + ! + ! normA output An estimate of the Frobenius norm of Abar. + ! This is the square-root of the sum of squares + ! of the elements of Abar. + ! If damp is small and the columns of A + ! have all been scaled to have length 1.0, + ! normA should increase to roughly sqrt(n). + ! A radically different value for normA may + ! indicate an error in Aprod1 or Aprod2. + ! + ! condA output An estimate of cond(Abar), the condition + ! number of Abar. A very high value of condA + ! may again indicate an error in Aprod1 or Aprod2. + ! + ! normr output An estimate of the final value of norm(rbar), + ! the function being minimized (see notation + ! above). This will be small if A*x = b has + ! a solution. + ! + ! normAr output An estimate of the final value of + ! norm( Abar'*rbar ), the norm of + ! the residual for the normal equations. + ! This should be small in all cases. (normAr + ! will often be smaller than the true value + ! computed from the output vector x.) + ! + ! normx output An estimate of norm(x) for the final solution x. + ! + ! Subroutines and functions used + ! ------------------------------ + ! BLAS dscal, dnrm2 + ! USER Aprod1, Aprod2 + ! + ! Precision + ! --------- + ! The number of iterations required by LSMR will decrease + ! if the computation is performed in higher precision. + ! At least 15-digit arithmetic should normally be used. + ! "real(dp)" declarations should normally be 8-byte words. + ! If this ever changes, the BLAS routines dnrm2, dscal + ! (Lawson, et al., 1979) will also need to be changed. + ! + ! + ! Reference + ! --------- + ! http://www.stanford.edu/group/SOL/software/lsmr.html + ! ------------------------------------------------------------------ + ! + ! LSMR development: + ! 21 Sep 2007: Fortran 90 version of LSQR implemented. + ! Aprod1, Aprod2 implemented via f90 interface. + ! 17 Jul 2010: LSMR derived from LSQR and lsmr.m. + ! 07 Sep 2010: Local reorthogonalization now working. + !------------------------------------------------------------------- + + intrinsic :: abs, dot_product, min, max, sqrt + + ! Local arrays and variables + real(dp) :: h(n), hbar(n), u(m), v(n), w(n), localV(n,min(localSize,m,n)) + logical :: damped, localOrtho, localVQueueFull, prnt, show + integer :: i, localOrthoCount, localOrthoLimit, localPointer, localVecs, & + pcount, pfreq + real(dp) :: alpha, alphabar, alphahat, & + beta, betaacute, betacheck, betad, betadd, betahat, & + normb, c, cbar, chat, ctildeold, ctol, & + d, maxrbar, minrbar, normA2, & + rho, rhobar, rhobarold, rhodold, rhoold, rhotemp, & + rhotildeold, rtol, s, sbar, shat, stildeold, & + t1, taud, tautildeold, test1, test2, test3, & + thetabar, thetanew, thetatilde, thetatildeold, & + zeta, zetabar, zetaold + + ! Local constants + real(dp), parameter :: zero = 0.0_dp, one = 1.0_dp + character(len=*), parameter :: enter = ' Enter LSMR. ' + character(len=*), parameter :: exitt = ' Exit LSMR. ' + character(len=*), parameter :: msg(0:7) = & + (/ 'The exact solution is x = 0 ', & + 'Ax - b is small enough, given atol, btol ', & + 'The least-squares solution is good enough, given atol', & + 'The estimate of cond(Abar) has exceeded conlim ', & + 'Ax - b is small enough for this machine ', & + 'The LS solution is good enough for this machine ', & + 'Cond(Abar) seems to be too large for this machine ', & + 'The iteration limit has been reached ' /) + !------------------------------------------------------------------- + + + ! Initialize. + + localVecs = min(localSize,m,n) + show = nout > 0 + if (show) then + write(nout, 1000) enter,m,n,damp,atol,conlim,btol,itnlim,localVecs + end if + + pfreq = 20 ! print frequency (for repeating the heading) + pcount = 0 ! print counter + damped = damp > zero ! + + !------------------------------------------------------------------- + ! Set up the first vectors u and v for the bidiagonalization. + ! These satisfy beta*u = b, alpha*v = A(transpose)*u. + !------------------------------------------------------------------- + u(1:m) = b(1:m) + v(1:n) = zero + x(1:n) = zero + + alpha = zero + beta = dnrm2 (m, u, 1) + + if (beta > zero) then + call dscal (m, (one/beta), u, 1) + ! call Aprod2(m, n, v, u) ! v = A'*u + call aprod(2,m,n,v,u,leniw,lenrw,iw,rw) + alpha = dnrm2 (n, v, 1) + end if + + if (alpha > zero) then + call dscal (n, (one/alpha), v, 1) + w = v + end if + + normAr = alpha*beta + if (normAr == zero) go to 800 + + ! Initialization for local reorthogonalization. + + localOrtho = .false. + if (localVecs > 0) then + localPointer = 1 + localOrtho = .true. + localVQueueFull = .false. + localV(:,1) = v + end if + + ! Initialize variables for 1st iteration. + + itn = 0 + zetabar = alpha*beta + alphabar = alpha + rho = 1 + rhobar = 1 + cbar = 1 + sbar = 0 + + h = v + hbar(1:n) = zero + x(1:n) = zero + + ! Initialize variables for estimation of ||r||. + + betadd = beta + betad = 0 + rhodold = 1 + tautildeold = 0 + thetatilde = 0 + zeta = 0 + d = 0 + + ! Initialize variables for estimation of ||A|| and cond(A). + + normA2 = alpha**2 + maxrbar = 0_dp + minrbar = 1e+30_dp + + ! Items for use in stopping rules. + normb = beta + istop = 0 + ctol = zero + if (conlim > zero) ctol = one/conlim + normr = beta + + ! Exit if b=0 or A'b = 0. + + normAr = alpha * beta + if (normAr == 0) then + if (show) then + write(nout,'(a)') msg(1) + end if + return + end if + + ! Heading for iteration log. + + if (show) then + if (damped) then + write(nout,1300) + else + write(nout,1200) + end if + test1 = one + test2 = alpha/beta + write(nout, 1500) itn,x(1),normr,normAr,test1,test2 + end if + + !=================================================================== + ! Main iteration loop. + !=================================================================== + do + itn = itn + 1 + + !---------------------------------------------------------------- + ! Perform the next step of the bidiagonalization to obtain the + ! next beta, u, alpha, v. These satisfy + ! beta*u = A*v - alpha*u, + ! alpha*v = A'*u - beta*v. + !---------------------------------------------------------------- + call dscal (m,(- alpha), u, 1) + ! call Aprod1(m, n, v, u) ! u = A*v + call aprod ( 1,m,n,v,u,leniw,lenrw,iw,rw ) + beta = dnrm2 (m, u, 1) + + if (beta > zero) then + call dscal (m, (one/beta), u, 1) + if (localOrtho) then ! Store v into the circular buffer localV. + call localVEnqueue ! Store old v for local reorthog'n of new v. + end if + call dscal (n, (- beta), v, 1) + + !call Aprod2(m, n, v, u) ! v = A'*u + call aprod ( 2,m,n,v,u,leniw,lenrw,iw,rw ) + if (localOrtho) then ! Perform local reorthogonalization of V. + call localVOrtho ! Local-reorthogonalization of new v. + end if + alpha = dnrm2 (n, v, 1) + if (alpha > zero) then + call dscal (n, (one/alpha), v, 1) + end if + end if + + ! At this point, beta = beta_{k+1}, alpha = alpha_{k+1}. + + !---------------------------------------------------------------- + ! Construct rotation Qhat_{k,2k+1}. + + alphahat = d2norm(alphabar, damp) + chat = alphabar/alphahat + shat = damp/alphahat + + ! Use a plane rotation (Q_i) to turn B_i to R_i. + + rhoold = rho + rho = d2norm(alphahat, beta) + c = alphahat/rho + s = beta/rho + thetanew = s*alpha + alphabar = c*alpha + + ! Use a plane rotation (Qbar_i) to turn R_i^T into R_i^bar. + + rhobarold = rhobar + zetaold = zeta + thetabar = sbar*rho + rhotemp = cbar*rho + rhobar = d2norm(cbar*rho, thetanew) + cbar = cbar*rho/rhobar + sbar = thetanew/rhobar + zeta = cbar*zetabar + zetabar = - sbar*zetabar + + ! Update h, h_hat, x. + + hbar = h - (thetabar*rho/(rhoold*rhobarold))*hbar + x = x + (zeta/(rho*rhobar))*hbar + h = v - (thetanew/rho)*h + + ! Estimate ||r||. + + ! Apply rotation Qhat_{k,2k+1}. + betaacute = chat* betadd + betacheck = - shat* betadd + + ! Apply rotation Q_{k,k+1}. + betahat = c*betaacute + betadd = - s*betaacute + + ! Apply rotation Qtilde_{k-1}. + ! betad = betad_{k-1} here. + + thetatildeold = thetatilde + rhotildeold = d2norm(rhodold, thetabar) + ctildeold = rhodold/rhotildeold + stildeold = thetabar/rhotildeold + thetatilde = stildeold* rhobar + rhodold = ctildeold* rhobar + betad = - stildeold*betad + ctildeold*betahat + + ! betad = betad_k here. + ! rhodold = rhod_k here. + + tautildeold = (zetaold - thetatildeold*tautildeold)/rhotildeold + taud = (zeta - thetatilde*tautildeold)/rhodold + d = d + betacheck**2 + normr = sqrt(d + (betad - taud)**2 + betadd**2) + + ! Estimate ||A||. + normA2 = normA2 + beta**2 + normA = sqrt(normA2) + normA2 = normA2 + alpha**2 + + ! Estimate cond(A). + maxrbar = max(maxrbar,rhobarold) + if (itn > 1) then + minrbar = min(minrbar,rhobarold) + end if + condA = max(maxrbar,rhotemp)/min(minrbar,rhotemp) + + !---------------------------------------------------------------- + ! Test for convergence. + !---------------------------------------------------------------- + + ! Compute norms for convergence testing. + normAr = abs(zetabar) + normx = dnrm2(n, x, 1) + + ! Now use these norms to estimate certain other quantities, + ! some of which will be small near a solution. + + test1 = normr /normb + test2 = normAr/(normA*normr) + test3 = one/condA + t1 = test1/(one + normA*normx/normb) + rtol = btol + atol*normA*normx/normb + + ! The following tests guard against extremely small values of + ! atol, btol or ctol. (The user may have set any or all of + ! the parameters atol, btol, conlim to 0.) + ! The effect is equivalent to the normAl tests using + ! atol = eps, btol = eps, conlim = 1/eps. + + if (itn >= itnlim) istop = 7 + if (one+test3 <= one) istop = 6 + if (one+test2 <= one) istop = 5 + if (one+t1 <= one) istop = 4 + + ! Allow for tolerances set by the user. + + if ( test3 <= ctol) istop = 3 + if ( test2 <= atol) istop = 2 + if ( test1 <= rtol) istop = 1 + + !---------------------------------------------------------------- + ! See if it is time to print something. + !---------------------------------------------------------------- + prnt = .false. + if (show) then + if (n <= 40) prnt = .true. + if (itn <= 10) prnt = .true. + if (itn >= itnlim-10) prnt = .true. + if (mod(itn,10) == 0) prnt = .true. + if (test3 <= 1.1*ctol) prnt = .true. + if (test2 <= 1.1*atol) prnt = .true. + if (test1 <= 1.1*rtol) prnt = .true. + if (istop /= 0) prnt = .true. + + if (prnt) then ! Print a line for this iteration + if (pcount >= pfreq) then ! Print a heading first + pcount = 0 + if (damped) then + write(nout,1300) + else + write(nout,1200) + end if + end if + pcount = pcount + 1 + write(nout,1500) itn,x(1),normr,normAr,test1,test2,normA,condA + end if + end if + + if (istop /= 0) exit + end do + !=================================================================== + ! End of iteration loop. + !=================================================================== + + ! Come here if normAr = 0, or if normal exit. + +800 if (damped .and. istop==2) istop=3 ! Decide if istop = 2 or 3. + if (show) then ! Print the stopping condition. + write(nout, 2000) & + exitt,istop,itn, & + exitt,normA,condA, & + exitt,normb, normx, & + exitt,normr,normAr + write(nout, 3000) & + exitt, msg(istop) + end if + + return + + 1000 format(// a, ' Least-squares solution of Ax = b' & + / ' The matrix A has', i7, ' rows and', i7, ' columns' & + / ' damp =', es22.14 & + / ' atol =', es10.2, 15x, 'conlim =', es10.2 & + / ' btol =', es10.2, 15x, 'itnlim =', i10 & + / ' localSize (no. of vectors for local reorthogonalization) =', i7) + 1200 format(/ " Itn x(1) norm r A'r ", & + ' Compatible LS norm A cond A') + 1300 format(/ " Itn x(1) norm rbar Abar'rbar", & + ' Compatible LS norm Abar cond Abar') + 1500 format(i6, 2es17.9, 5es10.2) + 2000 format(/ a, 5x, 'istop =', i2, 15x, 'itn =', i8 & + / a, 5x, 'normA =', es12.5, 5x, 'condA =', es12.5 & + / a, 5x, 'normb =', es12.5, 5x, 'normx =', es12.5 & + / a, 5x, 'normr =', es12.5, 5x, 'normAr =', es12.5) + 3000 format(a, 5x, a) + + contains + + function d2norm( a, b ) + + real(dp) :: d2norm + real(dp), intent(in) :: a, b + + !------------------------------------------------------------------- + ! d2norm returns sqrt( a**2 + b**2 ) + ! with precautions to avoid overflow. + ! + ! 21 Mar 1990: First version. + ! 17 Sep 2007: Fortran 90 version. + ! 24 Oct 2007: User real(dp) instead of compiler option -r8. + !------------------------------------------------------------------- + + intrinsic :: abs, sqrt + real(dp) :: scale + real(dp), parameter :: zero = 0.0_dp + + scale = abs(a) + abs(b) + if (scale == zero) then + d2norm = zero + else + d2norm = scale*sqrt((a/scale)**2 + (b/scale)**2) + end if + + end function d2norm + + !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + subroutine localVEnqueue + + ! Store v into the circular buffer localV. + + if (localPointer < localVecs) then + localPointer = localPointer + 1 + else + localPointer = 1 + localVQueueFull = .true. + end if + localV(:,localPointer) = v + + end subroutine localVEnqueue + + !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + + subroutine localVOrtho + + ! Perform local reorthogonalization of current v. + + real(dp) :: d + + if (localVQueueFull) then + localOrthoLimit = localVecs + else + localOrthoLimit = localPointer + end if + + do localOrthoCount = 1, localOrthoLimit + d = dot_product(v,localV(:,localOrthoCount)) + v = v - d * localV(:,localOrthoCount) + end do + + end subroutine localVOrtho + + end subroutine LSMR + + !+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +end module LSMRmodule diff --git a/srcsparsity/lsmrblas.f90 b/srcsparsity/lsmrblas.f90 new file mode 100644 index 0000000..31574e2 --- /dev/null +++ b/srcsparsity/lsmrblas.f90 @@ -0,0 +1,360 @@ +!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +! File lsmrblas.f90 (double precision) +! +! This file contains the following BLAS routines +! dcopy, ddot, dnrm2, dscal +! required by subroutines LSMR and Acheck. +!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +! +!! DCOPY copies a vector X to a vector Y. +! +! Discussion: +! This routine uses double precision real arithmetic. +! The routine uses unrolled loops for increments equal to one. +! +! Modified: +! 16 May 2005 +! +! Author: +! Jack Dongarra +! Fortran90 translation by John Burkardt. +! +! Reference: +! +! Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart, +! LINPACK User's Guide, +! SIAM, 1979, +! ISBN13: 978-0-898711-72-1, +! LC: QA214.L56. +! +! Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh, +! Algorithm 539, +! Basic Linear Algebra Subprograms for Fortran Usage, +! ACM Transactions on Mathematical Software, +! Volume 5, Number 3, September 1979, pages 308-323. +! +! Parameters: +! +! Input, integer N, the number of elements in DX and DY. +! +! Input, real ( kind = 8 ) DX(*), the first vector. +! +! Input, integer INCX, the increment between successive entries of DX. +! +! Output, real ( kind = 8 ) DY(*), the second vector. +! +! Input, integer INCY, the increment between successive entries of DY. + + + subroutine dcopy(n,dx,incx,dy,incy) + + implicit none +! double precision dx(*),dy(*) + real(4) dx(*),dy(*) + integer i,incx,incy,ix,iy,m,n + + if ( n <= 0 ) then + return + end if + + if ( incx == 1 .and. incy == 1 ) then + + m = mod ( n, 7 ) + + if ( m /= 0 ) then + dy(1:m) = dx(1:m) + end if + + do i = m+1, n, 7 + dy(i) = dx(i) + dy(i + 1) = dx(i + 1) + dy(i + 2) = dx(i + 2) + dy(i + 3) = dx(i + 3) + dy(i + 4) = dx(i + 4) + dy(i + 5) = dx(i + 5) + dy(i + 6) = dx(i + 6) + end do + + else + + if ( 0 <= incx ) then + ix = 1 + else + ix = ( -n + 1 ) * incx + 1 + end if + + if ( 0 <= incy ) then + iy = 1 + else + iy = ( -n + 1 ) * incy + 1 + end if + + do i = 1, n + dy(iy) = dx(ix) + ix = ix + incx + iy = iy + incy + end do + end if + return +end subroutine dcopy + + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +! +!! DDOT forms the dot product of two vectors. +! +! Discussion: +! This routine uses double precision real arithmetic. +! This routine uses unrolled loops for increments equal to one. +! +! Modified: +! 16 May 2005 +! +! Author: +! Jack Dongarra +! Fortran90 translation by John Burkardt. +! +! Reference: +! Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart, +! LINPACK User's Guide, +! SIAM, 1979, +! ISBN13: 978-0-898711-72-1, +! LC: QA214.L56. +! +! Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh, +! Algorithm 539, +! Basic Linear Algebra Subprograms for Fortran Usage, +! ACM Transactions on Mathematical Software, +! Volume 5, Number 3, September 1979, pages 308-323. +! +! Parameters: +! +! Input, integer N, the number of entries in the vectors. +! +! Input, real ( kind = 8 ) DX(*), the first vector. +! +! Input, integer INCX, the increment between successive entries in DX. +! +! Input, real ( kind = 8 ) DY(*), the second vector. +! +! Input, integer INCY, the increment between successive entries in DY. +! +! Output, real ( kind = 8 ) DDOT, the sum of the product of the +! corresponding entries of DX and DY. + + + ! double precision function ddot(n,dx,incx,dy,incy) + real(4) function ddot(n,dx,incx,dy,incy) + + implicit none + ! double precision dx(*),dy(*),dtemp + real(4) dx(*),dy(*),dtemp + integer i,incx,incy,ix,iy,m,n + + ddot = 0.0d0 + dtemp = 0.0d0 + if ( n <= 0 ) then + return + end if + +! Code for unequal increments or equal increments +! not equal to 1. + + if ( incx /= 1 .or. incy /= 1 ) then + + if ( 0 <= incx ) then + ix = 1 + else + ix = ( - n + 1 ) * incx + 1 + end if + + if ( 0 <= incy ) then + iy = 1 + else + iy = ( - n + 1 ) * incy + 1 + end if + + do i = 1, n + dtemp = dtemp + dx(ix) * dy(iy) + ix = ix + incx + iy = iy + incy + end do + +! Code for both increments equal to 1. + + else + + m = mod ( n, 5 ) + + do i = 1, m + dtemp = dtemp + dx(i) * dy(i) + end do + + do i = m+1, n, 5 + dtemp = dtemp + dx(i)*dy(i) + dx(i+1)*dy(i+1) + dx(i+2)*dy(i+2) & + + dx(i+3)*dy(i+3) + dx(i+4)*dy(i+4) + end do + + end if + + ddot = dtemp + return +end function ddot + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!*****************************************************************************80 +! +!! DNRM2 returns the euclidean norm of a vector. +! +! Discussion: +! This routine uses double precision real arithmetic. +! DNRM2 ( X ) = sqrt ( X' * X ) +! +! Modified: +! 16 May 2005 +! +! Author: +! Sven Hammarling +! Fortran90 translation by John Burkardt. +! +! Reference: +! Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart, +! LINPACK User's Guide, +! SIAM, 1979, +! ISBN13: 978-0-898711-72-1, +! LC: QA214.L56. +! +! Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh, +! Algorithm 539, +! Basic Linear Algebra Subprograms for Fortran Usage, +! ACM Transactions on Mathematical Software, +! Volume 5, Number 3, September 1979, pages 308-323. +! +! Parameters: +! +! Input, integer N, the number of entries in the vector. +! +! Input, real ( kind = 8 ) X(*), the vector whose norm is to be computed. +! +! Input, integer INCX, the increment between successive entries of X. +! +! Output, real ( kind = 8 ) DNRM2, the Euclidean norm of X. +! + + ! double precision function dnrm2 ( n, x, incx) + real(4) function dnrm2 ( n, x, incx) + implicit none + integer ix,n,incx + ! double precision x(*), ssq,absxi,norm,scale + real(4) x(*), ssq,absxi,norm,scale + + if ( n < 1 .or. incx < 1 ) then + norm = 0.d0 + else if ( n == 1 ) then + norm = abs ( x(1) ) + else + scale = 0.d0 + ssq = 1.d0 + + do ix = 1, 1 + ( n - 1 )*incx, incx + if ( x(ix) /= 0.d0 ) then + absxi = abs ( x(ix) ) + if ( scale < absxi ) then + ssq = 1.d0 + ssq * ( scale / absxi )**2 + scale = absxi + else + ssq = ssq + ( absxi / scale )**2 + end if + end if + end do + norm = scale * sqrt ( ssq ) + end if + + dnrm2 = norm + return +end function dnrm2 + +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! +!! DSCAL scales a vector by a constant. +! +! Discussion: +! This routine uses double precision real arithmetic. +! +! Modified: +! 08 April 1999 +! +! Author: +! Jack Dongarra +! Fortran90 translation by John Burkardt. +! +! Reference: +! Jack Dongarra, Jim Bunch, Cleve Moler, Pete Stewart, +! LINPACK User's Guide, +! SIAM, 1979, +! ISBN13: 978-0-898711-72-1, +! LC: QA214.L56. +! +! Charles Lawson, Richard Hanson, David Kincaid, Fred Krogh, +! Algorithm 539, +! Basic Linear Algebra Subprograms for Fortran Usage, +! ACM Transactions on Mathematical Software, +! Volume 5, Number 3, September 1979, pages 308-323. +! +! Parameters: +! +! Input, integer N, the number of entries in the vector. +! +! Input, real ( kind = 8 ) SA, the multiplier. +! +! Input/output, real ( kind = 8 ) X(*), the vector to be scaled. +! +! Input, integer INCX, the increment between successive entries of X. +! + + subroutine dscal(n,sa,x,incx) + + implicit none + + integer i + integer incx + integer ix + integer m + integer n + !double precision sa + !double precision x(*) + + real(4) sa + real(4) x(*) + if ( n <= 0 ) then + return + else if ( incx == 1 ) then + m = mod ( n, 5 ) + x(1:m) = sa * x(1:m) + + do i = m+1, n, 5 + x(i) = sa * x(i) + x(i+1) = sa * x(i+1) + x(i+2) = sa * x(i+2) + x(i+3) = sa * x(i+3) + x(i+4) = sa * x(i+4) + end do + else + if ( 0 <= incx ) then + ix = 1 + else + ix = ( - n + 1 ) * incx + 1 + end if + + do i = 1, n + x(ix) = sa * x(ix) + ix = ix + incx + end do + + end if + + return +end subroutine dscal +!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! diff --git a/srcsparsity/lsmrblasInterface.f90 b/srcsparsity/lsmrblasInterface.f90 new file mode 100644 index 0000000..58cefa0 --- /dev/null +++ b/srcsparsity/lsmrblasInterface.f90 @@ -0,0 +1,41 @@ +!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +! File lsmrblasInterface.f90 +! +! BLAS1 Interfaces: ddot dnrm2 dscal +! +! Maintained by Michael Saunders . +! +! 19 Dec 2008: lsqrblasInterface module implemented. +! Metcalf and Reid recommend putting interfaces in a module. +! 16 Jul 2010: LSMR version derived from LSQR equivalent. +!+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +module lsmrblasInterface + + implicit none + public :: ddot, dnrm2, dscal + + interface ! Level 1 BLAS + function ddot (n,dx,incx,dy,incy) + use lsmrDataModule, only : dp + integer, intent(in) :: n,incx,incy + real(dp), intent(in) :: dx(*),dy(*) + real(dp) :: ddot + end function ddot + + function dnrm2 (n,dx,incx) + use lsmrDataModule, only : dp + integer, intent(in) :: n,incx + real(dp), intent(in) :: dx(*) + real(dp) :: dnrm2 + end function dnrm2 + + subroutine dscal (n,sa,x,incx) + use lsmrDataModule, only : dp + integer, intent(in) :: n,incx + real(dp), intent(in) :: sa + real(dp), intent(inout) :: x(*) + end subroutine dscal + end interface + +end module lsmrblasInterface diff --git a/src/main.f90 b/srcsparsity/main.f90 similarity index 100% rename from src/main.f90 rename to srcsparsity/main.f90 diff --git a/src/merge1.f90 b/srcsparsity/merge1.f90 similarity index 100% rename from src/merge1.f90 rename to srcsparsity/merge1.f90 diff --git a/src/split.f90 b/srcsparsity/split.f90 similarity index 100% rename from src/split.f90 rename to srcsparsity/split.f90 diff --git a/srcsparsity/surfdisp96.f b/srcsparsity/surfdisp96.f new file mode 100644 index 0000000..1e61103 --- /dev/null +++ b/srcsparsity/surfdisp96.f @@ -0,0 +1,1062 @@ +c----------------------------------------------------------------------c +c c +c COMPUTER PROGRAMS IN SEISMOLOGY c +c VOLUME IV c +c c +c PROGRAM: SRFDIS c +c c +c COPYRIGHT 1986, 1991 c +c D. R. Russell, R. B. Herrmann c +c Department of Earth and Atmospheric Sciences c +c Saint Louis University c +c 221 North Grand Boulevard c +c St. Louis, Missouri 63103 c +c U. S. A. c +c c +c----------------------------------------------------------------------c +c This is a combination of program 'surface80' which search the poles +c on C-T domain, and the program 'surface81' which search in the F-K +c domain. The input data is slightly different with its precessors. +c -Wang 06/06/83. +c +c The program calculates the dispersion values for any +c layered model, any frequency, and any mode. +c +c This program will accept one liquid layer at the surface. +c In such case ellipticity of rayleigh wave is that at the +c top of solid array. Love wave communications ignore +c liquid layer. +c +c Program developed by Robert B Herrmann Saint Louis +c univ. Nov 1971, and revised by C. Y. Wang on Oct 1981. +c Modified for use in surface wave inversion, and +c addition of spherical earth flattening transformation, by +c David R. Russell, St. Louis University, Jan. 1984. +c +c Changes +c 28 JAN 2003 - fixed minor but for sphericity correction by +c saving one parameter in subroutine sphere +c 20 JUL 2004 - removed extraneous line at line 550 +c since dc not defined +c if(dabs(c1-c2) .le. dmin1(1.d-6*c1,0.005d+0*dc) )go to 1000 +c 28 DEC 2007 - changed the Earth flattening to now use layer +c midpoint and the Biswas (1972: PAGEOPH 96, 61-74, 1972) +c density mapping for P-SV - note a true comparison +c requires the ability to handle a fluid core for SH and SV +c Also permit one layer with fluid is base of the velocity is 0.001 km/sec +c----- +c 13 JAN 2010 - modified by Huajian Yao at MIT for calculation of +c group or phase velocities +c----- + + subroutine surfdisp96(thkm,vpm,vsm,rhom,nlayer,iflsph,iwave, + & mode,igr,kmax,t,cg) + + parameter(LER=0,LIN=5,LOT=66) + integer NL, NL2, NLAY + parameter(NL=200,NLAY=200,NL2=NL+NL) + integer NP + parameter (NP=60) + +c----- +c LIN - unit for FORTRAN read from terminal +c LOT - unit for FORTRAN write to terminal +c LER - unit for FORTRAN error output to terminal +c NL - layers in model +c NP - number of unique periods +c----- +c----- parameters +c thkm, vpm, vsm, rhom: model for dispersion calculation +c nlayer - I4: number of layers in the model +c iflsph - I4: 0 flat earth model, 1 spherical earth model +c iwave - I4: 1 Love wave, 2 Rayleigh wave +c mode - I4: ith mode of surface wave, 1 fundamental, 2 first higher, .... +c igr - I4: 0 phase velocity, > 0 group velocity +c kmax - I4: number of periods (t) for dispersion calculation +c t - period vector (t(NP)) +c cg - output phase or group velocities (vector,cg(NP)) +c----- + real*4 thkm(NLAY),vpm(NLAY),vsm(NLAY),rhom(NLAY) + integer nlayer,iflsph,iwave,mode,igr,kmax + double precision twopi,one,onea + double precision cc,c1,clow,cm,dc,t1 + double precision t(NP),c(NP),cb(NP),cg(NP) + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) +c common/modl/ d,a,b,rho,rtp,dtp,btp +c common/para/ mmax,llw,twopi + integer*4 iverb(2) + integer*4 llw + integer*4 nsph, ifunc, idispl, idispr, is, ie + real*4 sone0, ddc0, h0, sone, ddc, h + +c maximum number of layers in the model + mmax = nlayer +c is the model flat (nsph = 0) or sphere (nsph = 1) + nsph = iflsph + +c----- +c save current values + do 39 i=1,mmax + b(i) = vsm(i) + a(i) = vpm(i) + d(i) = thkm(i) + rho(i) = rhom(i) +c print *,d(i), b(i) + 39 continue + + if(iwave.eq.1)then + idispl = kmax + idispr = 0 + elseif(iwave.eq.2)then + idispl = 0 + idispr = kmax + endif + + iverb(1) = 0 + iverb(2) = 0 +c ---- constant value + sone0 = 1.500 +c ---- phase velocity increment for searching root + ddc0 = 0.005 +c ---- frequency increment (%) for calculating group vel. using g = dw/dk = dw/d(w/c) + h0 = 0.005 +c ---- period range is:ie for calculation of dispersion + +c----- +c check for water layer +c----- + llw=1 + if(b(1).le.0.0) llw=2 + twopi=2.d0*3.141592653589793d0 + one=1.0d-2 + if(nsph.eq.1) call sphere(0,0,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) + JMN = 1 + betmx=-1.e20 + betmn=1.e20 +c----- +c find the extremal velocities to assist in starting search +c----- + do 20 i=1,mmax + if(b(i).gt.0.01 .and. b(i).lt.betmn)then + betmn = b(i) + jmn = i + jsol = 1 + elseif(b(i).le.0.01 .and. a(i).lt.betmn)then + betmn = a(i) + jmn = i + jsol = 0 + endif + if(b(i).gt.betmx) betmx=b(i) + 20 continue +cc WRITE(6,*)'betmn, betmx:',betmn, betmx +c if(idispl.gt.0)then +cc open(1,file='tmpsrfi.06',form='unformatted', +cc 1 access='sequential') +cc rewind 1 +c read(*,*) lovdispfile +c open(1, file = lovdispfile); +c endif +c if(idispr.gt.0)then +cc open(2,file='tmpsrfi.07',form='unformatted', +cc 1 access='sequential') +cc rewind 2 +c read(*,*) raydispfile +c open(2, file = raydispfile); +c endif + do 2000 ifunc=1,2 + if(ifunc.eq.1.and.idispl.le.0) go to 2000 + if(ifunc.eq.2.and.idispr.le.0) go to 2000 + if(nsph.eq.1) call sphere(ifunc,1,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) + ddc = ddc0 + sone = sone0 + h = h0 +c read(*,*) kmax,mode,ddc,sone,igr,h +c write(*,*) kmax,mode,ddc,sone,igr,h +c read(*,*) (t(i),i=1,kmax) +c write(*,*) (t(i),i=1,kmax) +cc write(ifunc,*) mmax,nsph +cc write(ifunc,*) (btp(i),i=1,mmax) +cc write(ifunc,*) (dtp(i),i=1,mmax) +cc do 420 i=1,mmax +cc write(ifunc,*) d(i),a(i),b(i),rho(i) +cc 420 continue +c write(ifunc,*) kmax,igr,h + if(sone.lt. 0.01) sone=2.0 + onea=dble(sone) +c----- +c get starting value for phase velocity, +c which will correspond to the +c VP/VS ratio +c----- + if(jsol.eq.0)then +c----- +c water layer +c----- + cc1 = betmn + else +c----- +c solid layer solve halfspace period equation +c----- + call gtsolh(a(jmn),b(jmn),cc1) + endif +c----- +c back off a bit to get a starting value at a lower phase velocity +c----- + cc1=.95*cc1 + CC1=.90*CC1 + cc=dble(cc1) + dc=dble(ddc) + dc = dabs(dc) + c1=cc + cm=cc + do 450 i=1,kmax + cb(i)=0.0d0 + c(i)=0.0d0 + 450 continue + ift=999 + do 1800 iq=1,mode + is = 1 + ie = kmax +c read(*,*) is,ie +c write(*,*) 'is =', is, ', ie = ', ie + itst=ifunc + do 1600 k=is,ie + if(k.ge.ift) go to 1700 + t1=dble(t(k)) + if(igr.gt.0)then + t1a=t1/(1.+h) + t1b=t1/(1.-h) + t1=dble(t1a) + else + t1a=sngl(t1) + tlb=0.0 + endif +c----- +c get initial phase velocity estimate to begin search +c +c in the notation here, c() is an array of phase velocities +c c(k-1) is the velocity estimate of the present mode +c at the k-1 period, while c(k) is the phase velocity of the +c previous mode at the k period. Since there must be no mode +c crossing, we make use of these values. The only complexity +c is that the dispersion may be reversed. +c +c The subroutine getsol determines the zero crossing and refines +c the root. +c----- + if(k.eq.is .and. iq.eq.1)then + c1 = cc + clow = cc + ifirst = 1 + elseif(k.eq.is .and. iq.gt.1)then + c1 = c(is) + one*dc + clow = c1 + ifirst = 1 + elseif(k.gt.is .and. iq.gt.1)then + ifirst = 0 +c clow = c(k) + one*dc +c c1 = c(k-1) -onea*dc + clow = c(k) + one*dc + c1 = c(k-1) + if(c1 .lt. clow)c1 = clow + elseif(k.gt.is .and. iq.eq.1)then + ifirst = 0 + c1 = c(k-1) - onea*dc + clow = cm + endif +c----- +c bracket root and refine it +c----- + call getsol(t1,c1,clow,dc,cm,betmx,iret,ifunc,ifirst,d,a,b,rho,rtp,dtp,btp,mmax,llw) + if(iret.eq.-1)goto 1700 + c(k) = c1 +c----- +c for group velocities compute near above solution +c----- + if(igr.gt.0) then + t1=dble(t1b) + ifirst = 0 + clow = cb(k) + one*dc + c1 = c1 -onea*dc + call getsol(t1,c1,clow,dc,cm,betmx,iret,ifunc,ifirst,d,a,b,rho,rtp,dtp,btp,mmax,llw) +c----- +c test if root not found at slightly larger period +c----- + if(iret.eq.-1)then + c1 = c(k) + endif + cb(k)=c1 + else + c1 = 0.0d+00 + endif + cc0 = sngl(c(k)) + cc1 = sngl(c1) + if(igr.eq.0) then +c ----- output only phase velocity +c write(ifunc,*) itst,iq,t(k),cc0,0.0 + cg(k) = cc0 + else +c ----- calculate group velocity and output phase and group velocities + gvel = (1/t1a-1/t1b)/(1/(t1a*cc0)-1/(t1b*cc1)) + cg(k) = gvel +c write(ifunc,*) itst,iq,t(k),(cc0+cc1)/2,gvel +c ----- print *, itst,iq,t(k),t1a,t1b,cc0,cc1,gvel + endif + 1600 continue + go to 1800 + 1700 if(iq.gt.1) go to 1750 + if(iverb(ifunc).eq.0)then + iverb(ifunc) = 1 + write(LOT,*)'improper initial value in disper - no zero found' + write(*,*)'WARNING:improper initial value in disper - no zero found' + write(LOT,*)'in fundamental mode ' + write(LOT,*)'This may be due to low velocity zone ' + write(LOT,*)'causing reverse phase velocity dispersion, ' + write(LOT,*)'and mode jumping.' + write(LOT,*)'due to looking for Love waves in a halfspace' + write(LOT,*)'which is OK if there are Rayleigh data.' + write(LOT,*)'If reverse dispersion is the problem,' + write(LOT,*)'Get present model using OPTION 28, edit sobs.d,' + write(LOT,*)'Rerun with onel large than 2' + write(LOT,*)'which is the default ' +c----- +c if we have higher mode data and the model does not find that +c mode, just indicate (itst=0) that it has not been found, but +c fill out file with dummy results to maintain format - note +c eigenfunctions will not be found for these values. The subroutine +c 'amat' in 'surf' will worry about this in building up the +c input file for 'surfinv' +c----- + write(LOT,*)'ifunc = ',ifunc ,' (1=L, 2=R)' + write(LOT,*)'mode = ',iq-1 + write(LOT,*)'period= ',t(k), ' for k,is,ie=',k,is,ie + write(LOT,*)'cc,cm = ',cc,cm + write(LOT,*)'c1 = ',c1 + write(LOT,*)'d,a,b,rho (d(mmax)=control ignore)' + write(LOT,'(4f15.5)')(d(i),a(i),b(i),rho(i),i=1,mmax) + write(LOT,*)' c(i),i=1,k (NOTE may be part)' + write(LOT,*)(c(i),i=1,k) + endif +c if(k.gt.0)goto 1750 +c go to 2000 + 1750 ift=k + itst=0 + do 1770 i=k,ie + t1a=t(i) +c write(ifunc,*) itst,iq,t1a,0.0,0.0 + cg(i) = 0.0 + 1770 continue + 1800 continue +c close(ifunc,status='keep') + 2000 continue +c close(3,status='keep') + + end + + + + + + + subroutine gtsolh(a,b,c) +c----- +c starting solution +c----- + real*4 kappa, k2, gk2 + c = 0.95*b + do 100 i=1,5 + gamma = b/a + kappa = c/b + k2 = kappa**2 + gk2 = (gamma*kappa)**2 + fac1 = sqrt(1.0 - gk2) + fac2 = sqrt(1.0 - k2) + fr = (2.0 - k2)**2 - 4.0*fac1*fac2 + frp = -4.0*(2.0-k2) *kappa + 1 +4.0*fac2*gamma*gamma*kappa/fac1 + 2 +4.0*fac1*kappa/fac2 + frp = frp/b + c = c - fr/frp + 100 continue + return + end + + subroutine getsol(t1,c1,clow,dc,cm,betmx,iret,ifunc,ifirst,d,a,b,rho,rtp,dtp,btp,mmax,llw) +c----- +c subroutine to bracket dispersion curve +c and then refine it +c----- +c t1 - period +c c1 - initial guess on low side of mode +c clow - lowest possible value for present mode in a +c reversed direction search +c dc - phase velocity search increment +c cm - minimum possible solution +c betmx - maximum shear velocity +c iret - 1 = successful +c - -1= unsuccessful +c ifunc - 1 - Love +c - 2 - Rayleigh +c ifirst - 1 this is first period for a particular mode +c - 0 this is not the first period +c (this is to define period equation sign +c for mode jumping test) +c----- + parameter (NL=200) + real*8 wvno, omega, twopi + real*8 c1, c2, cn, cm, dc, t1, clow + real*8 dltar, del1, del2, del1st, plmn + save del1st + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) + integer llw,mmax +c----- +c to avoid problems in mode jumping with reversed dispersion +c we note what the polarity of period equation is for phase +c velocities just beneath the zero crossing at the +c first period computed. +c----- +c bracket solution +c----- + twopi=2.d0*3.141592653589793d0 + omega=twopi/t1 + wvno=omega/c1 + del1 = dltar(wvno,omega,ifunc,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) + if(ifirst.eq.1)del1st = del1 + plmn = dsign(1.0d+00,del1st)*dsign(1.0d+00,del1) + if(ifirst.eq.1)then + idir = +1 + elseif(ifirst.ne.1 .and. plmn.ge.0.0d+00)then + idir = +1 + elseif(ifirst.ne.1 .and. plmn.lt.0.0d+00)then + idir = -1 + endif +c----- +c idir indicates the direction of the search for the +c true phase velocity from the initial estimate. +c Usually phase velocity increases with period and +c we always underestimate, so phase velocity should increase +c (idir = +1). For reversed dispersion, we should look +c downward from the present estimate. However, we never +c go below the floor of clow, when the direction is reversed +c----- + 1000 continue + if(idir.gt.0)then + c2 = c1 + dc + else + c2 = c1 - dc + endif + if(c2.le.clow)then + idir = +1 + c1 = clow + endif + if(c2.le.clow)goto 1000 + omega=twopi/t1 + wvno=omega/c2 + del2 = dltar(wvno,omega,ifunc,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) + if (dsign(1.0d+00,del1).ne.dsign(1.0d+00,del2)) then + go to 1300 + endif + c1=c2 + del1=del2 +c check that c1 is in region of solutions + if(c1.lt.cm) go to 1700 + if(c1.ge.(betmx+dc)) go to 1700 + go to 1000 +c----- +c root bracketed, refine it +c----- + 1300 call nevill(t1,c1,c2,del1,del2,ifunc,cn,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) + c1 = cn + if(c1.gt.(betmx)) go to 1700 + iret = 1 + return + 1700 continue + iret = -1 + return + end +c +c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +c + subroutine sphere(ifunc,iflag,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) +c----- +c Transform spherical earth to flat earth +c +c Schwab, F. A., and L. Knopoff (1972). Fast surface wave and free +c mode computations, in Methods in Computational Physics, +c Volume 11, +c Seismology: Surface Waves and Earth Oscillations, +c B. A. Bolt (ed), +c Academic Press, New York +c +c Love Wave Equations 44, 45 , 41 pp 112-113 +c Rayleigh Wave Equations 102, 108, 109 pp 142, 144 +c +c Revised 28 DEC 2007 to use mid-point, assume linear variation in +c slowness instead of using average velocity for the layer +c Use the Biswas (1972:PAGEOPH 96, 61-74, 1972) density mapping +c +c ifunc I*4 1 - Love Wave +c 2 - Rayleigh Wave +c iflag I*4 0 - Initialize +c 1 - Make model for Love or Rayleigh Wave +c----- + parameter(NL=200,NP=60) + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) + integer mmax,llw +c common/modl/ d,a,b,rho,rtp,dtp,btp +c common/para/ mmax,llw,twopi + double precision z0,z1,r0,r1,dr,ar,tmp,twopi + save dhalf + ar=6370.0d0 + dr=0.0d0 + r0=ar + d(mmax)=1.0 + if(iflag.eq.0) then + do 5 i=1,mmax + dtp(i)=d(i) + rtp(i)=rho(i) + 5 continue + do 10 i=1,mmax + dr=dr+dble(d(i)) + r1=ar-dr + z0=ar*dlog(ar/r0) + z1=ar*dlog(ar/r1) + d(i)=z1-z0 +c----- +c use layer midpoint +c----- + TMP=(ar+ar)/(r0+r1) + a(i)=a(i)*tmp + b(i)=b(i)*tmp + btp(i)=tmp + r0=r1 + 10 continue + dhalf = d(mmax) + else + d(mmax) = dhalf + do 30 i=1,mmax + if(ifunc.eq.1)then + rho(i)=rtp(i)*btp(i)**(-5) + else if(ifunc.eq.2)then + rho(i)=rtp(i)*btp(i)**(-2.275) + endif + 30 continue + endif + d(mmax)=0.0 + return + end +c +c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +c + subroutine nevill(t,c1,c2,del1,del2,ifunc,cc,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) +c----- +c hybrid method for refining root once it has been bracketted +c between c1 and c2. interval halving is used where other schemes +c would be inefficient. once suitable region is found neville s +c iteration method is used to find root. +c the procedure alternates between the interval halving and neville +c techniques using whichever is most efficient +c----- +c the control integer nev means the following: +c +c nev = 0 force interval halving +c nev = 1 permit neville iteration if conditions are proper +c nev = 2 neville iteration is being used +c----- + parameter (NL=200,NP=60) + implicit double precision (a-h,o-z) + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) + dimension x(20),y(20) + integer llw,mmax +c common/modl/ d,a,b,rho,rtp,dtp,btp +c common/para/ mmax,llw,twopi +c----- +c initial guess +c----- + omega = twopi/t + call half(c1,c2,c3,del3,omega,ifunc,d,a,b,rho,rtp,dtp,btp, + & mmax,llw,twopi,a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + nev = 1 + nctrl=1 + 100 continue + nctrl=nctrl+1 + if(nctrl.ge.100) go to 1000 +c----- +c make sure new estimate is inside the previous values. If not +c perform interval halving +c----- + if(c3 .lt. dmin1(c1,c2) .or. c3. gt.dmax1(c1,c2))then + nev = 0 + call half(c1,c2,c3,del3,omega,ifunc,d,a,b,rho,rtp,dtp,btp, + & mmax,llw,twopi,a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + endif + s13 = del1 - del3 + s32 = del3 - del2 +c----- +c define new bounds according to the sign of the period equation +c----- + if(dsign(1.d+00,del3)*dsign(1.d+00,del1) .lt.0.0d+00)then + c2 = c3 + del2 = del3 + else + c1 = c3 + del1 = del3 + endif +c----- +c check for convergence. A relative error criteria is used +c----- + if(dabs(c1-c2).le.1.d-6*c1) go to 1000 +c----- +c if the slopes are not the same between c1, c3 and c3 +c do not use neville iteration +c----- + if(dsign (1.0d+00,s13).ne.dsign (1.0d+00,s32)) nev = 0 +c----- +c if the period equation differs by more than a factor of 10 +c use interval halving to avoid poor behavior of polynomial fit +c----- + ss1=dabs(del1) + s1=0.01*ss1 + ss2=dabs(del2) + s2=0.01*ss2 + if(s1.gt.ss2.or.s2.gt.ss1 .or. nev.eq.0) then + call half(c1,c2,c3,del3,omega,ifunc,d,a,b,rho,rtp,dtp,btp, + & mmax,llw,twopi,a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + nev = 1 + m = 1 + else + if(nev.eq.2)then + x(m+1) = c3 + y(m+1) = del3 + else + x(1) = c1 + y(1) = del1 + x(2) = c2 + y(2) = del2 + m = 1 + endif +c----- +c perform Neville iteration. Note instead of generating y(x) +c we interchange the x and y of formula to solve for x(y) when +c y = 0 +c----- + do 900 kk = 1,m + j = m-kk+1 + denom = y(m+1) - y(j) + if(dabs(denom).lt.1.0d-10*abs(y(m+1)))goto 950 + x(j)=(-y(j)*x(j+1)+y(m+1)*x(j))/denom + 900 continue + c3 = x(1) + wvno = omega/c3 + del3 = dltar(wvno,omega,ifunc,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) +c & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + nev = 2 + m = m + 1 + if(m.gt.10)m = 10 + goto 951 + 950 continue + call half(c1,c2,c3,del3,omega,ifunc,d,a,b,rho,rtp,dtp,btp, + & mmax,llw,twopi,a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + nev = 1 + m = 1 + 951 continue + endif + goto 100 + 1000 continue + cc = c3 + return + end + + subroutine half(c1,c2,c3,del3,omega,ifunc,d,a,b,rho,rtp,dtp,btp, + & mmax,llw,twopi,a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + implicit double precision (a-h,o-z) + parameter(NL=200) + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) + c3 = 0.5*(c1 + c2) + wvno=omega/c3 + del3 = dltar(wvno,omega,ifunc,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) +c & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + return + end +c +c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +c + function dltar(wvno,omega,kk,d,a,b,rho,rtp,dtp,btp,mmax,llw,twop) +c & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) +c control the way to P-SV or SH. +c + implicit double precision (a-h,o-z) + parameter(NL=200) + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) +c + if(kk.eq.1)then +c love wave period equation + dltar = dltar1(wvno,omega,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) + elseif(kk.eq.2)then +c rayleigh wave period equation + dltar = dltar4(wvno,omega,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) +c & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + endif + end +c +c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +c + function dltar1(wvno,omega,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) +c find SH dispersion values. +c + parameter (NL=200,NP=60) + implicit double precision (a-h,o-z) + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) + integer llw,mmax +c common/modl/ d,a,b,rho,rtp,dtp,btp +c common/para/ mmax,llw,twopi +c +c Haskell-Thompson love wave formulation from halfspace +c to surface. +c + beta1=dble(b(mmax)) + rho1=dble(rho(mmax)) + xkb=omega/beta1 + wvnop=wvno+xkb + wvnom=dabs(wvno-xkb) + rb=dsqrt(wvnop*wvnom) + e1=rho1*rb + e2=1.d+00/(beta1*beta1) + mmm1 = mmax - 1 + do 600 m=mmm1,llw,-1 + beta1=dble(b(m)) + rho1=dble(rho(m)) + xmu=rho1*beta1*beta1 + xkb=omega/beta1 + wvnop=wvno+xkb + wvnom=dabs(wvno-xkb) + rb=dsqrt(wvnop*wvnom) + q = dble(d(m))*rb + if(wvno.lt.xkb)then + sinq = dsin(q) + y = sinq/rb + z = -rb*sinq + cosq = dcos(q) + elseif(wvno.eq.xkb)then + cosq=1.0d+00 + y=dble(d(m)) + z=0.0d+00 + else + fac = 0.0d+00 + if(q.lt.16)fac = dexp(-2.0d+0*q) + cosq = ( 1.0d+00 + fac ) * 0.5d+00 + sinq = ( 1.0d+00 - fac ) * 0.5d+00 + y = sinq/rb + z = rb*sinq + endif + e10=e1*cosq+e2*xmu*z + e20=e1*y/xmu+e2*cosq + xnor=dabs(e10) + ynor=dabs(e20) + if(ynor.gt.xnor) xnor=ynor + if(xnor.lt.1.d-40) xnor=1.0d+00 + e1=e10/xnor + e2=e20/xnor + 600 continue + dltar1=e1 + return + end +c +c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +c + function dltar4(wvno,omga,d,a,b,rho,rtp,dtp,btp,mmax,llw,twopi) +c & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) +c find P-SV dispersion values. +c + parameter (NL=200,NP=60) + implicit double precision (a-h,o-z) + dimension e(5),ee(5),ca(5,5) + real*4 d(NL),a(NL),b(NL),rho(NL),rtp(NL),dtp(NL),btp(NL) +c common/modl/ d,a,b,rho,rtp,dtp,btp +c common/para/ mmax,llw,twopi +c common/ovrflw/ a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz +c + omega=omga + if(omega.lt.1.0d-4) omega=1.0d-4 + wvno2=wvno*wvno + xka=omega/dble(a(mmax)) + xkb=omega/dble(b(mmax)) + wvnop=wvno+xka + wvnom=dabs(wvno-xka) + ra=dsqrt(wvnop*wvnom) + wvnop=wvno+xkb + wvnom=dabs(wvno-xkb) + rb=dsqrt(wvnop*wvnom) + t = dble(b(mmax))/omega +c----- +c E matrix for the bottom half-space. +c----- + gammk = 2.d+00*t*t + gam = gammk*wvno2 + gamm1 = gam - 1.d+00 + rho1=dble(rho(mmax)) + e(1)=rho1*rho1*(gamm1*gamm1-gam*gammk*ra*rb) + e(2)=-rho1*ra + e(3)=rho1*(gamm1-gammk*ra*rb) + e(4)=rho1*rb + e(5)=wvno2-ra*rb +c----- +c matrix multiplication from bottom layer upward +c----- + mmm1 = mmax-1 + do 500 m = mmm1,llw,-1 + xka = omega/dble(a(m)) + xkb = omega/dble(b(m)) + t = dble(b(m))/omega + gammk = 2.d+00*t*t + gam = gammk*wvno2 + wvnop=wvno+xka + wvnom=dabs(wvno-xka) + ra=dsqrt(wvnop*wvnom) + wvnop=wvno+xkb + wvnom=dabs(wvno-xkb) + rb=dsqrt(wvnop*wvnom) + dpth=dble(d(m)) + rho1=dble(rho(m)) + p=ra*dpth + q=rb*dpth + beta=dble(b(m)) +c----- +c evaluate cosP, cosQ,.... in var. +c evaluate Dunkin's matrix in dnka. +c----- + call var(p,q,ra,rb,wvno,xka,xkb,dpth,w,cosp,exa, + & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + call dnka(ca,wvno2,gam,gammk,rho1, + & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + do 200 i=1,5 + cr=0.0d+00 + do 100 j=1,5 + cr=cr+e(j)*ca(j,i) + 100 continue + ee(i)=cr + 200 continue + call normc(ee,exa) + do 300 i = 1,5 + e(i)=ee(i) + 300 continue + 500 continue + if(llw.ne.1) then +c----- +c include water layer. +c----- + xka = omega/dble(a(1)) + wvnop=wvno+xka + wvnom=dabs(wvno-xka) + ra=dsqrt(wvnop*wvnom) + dpth=dble(d(1)) + rho1=dble(rho(1)) + p = ra*dpth + beta = dble(b(1)) + znul = 1.0d-05 + call var(p,znul,ra,znul,wvno,xka,znul,dpth,w,cosp,exa, + & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) + w0=-rho1*w + dltar4 = cosp*e(1) + w0*e(2) + else + dltar4 = e(1) + endif + return + end +c +c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + subroutine var(p,q,ra,rb,wvno,xka,xkb,dpth,w,cosp,exa,a0,cpcq, + & cpy,cpz,cqw,cqx,xy,xz,wy,wz) +c----- +c find variables cosP, cosQ, sinP, sinQ, etc. +c as well as cross products required for compound matrix +c----- +c To handle the hyperbolic functions correctly for large +c arguments, we use an extended precision procedure, +c keeping in mind that the maximum precision in double +c precision is on the order of 16 decimal places. +c +c So cosp = 0.5 ( exp(+p) + exp(-p)) +c = exp(p) * 0.5 * ( 1.0 + exp(-2p) ) +c becomes +c cosp = 0.5 * (1.0 + exp(-2p) ) with an exponent p +c In performing matrix multiplication, we multiply the modified +c cosp terms and add the exponents. At the last step +c when it is necessary to obtain a true amplitude, +c we then form exp(p). For normalized amplitudes at any depth, +c we carry an exponent for the numerator and the denominator, and +c scale the resulting ratio by exp(NUMexp - DENexp) +c +c The propagator matrices have three basic terms +c +c HSKA cosp cosq +c DUNKIN cosp*cosq 1.0 +c +c When the extended floating point is used, we use the +c largest exponent for each, which is the following: +c +c Let pex = p exponent > 0 for evanescent waves = 0 otherwise +c Let sex = s exponent > 0 for evanescent waves = 0 otherwise +c Let exa = pex + sex +c +c Then the modified matrix elements are as follow: +c +c Haskell: cosp -> 0.5 ( 1 + exp(-2p) ) exponent = pex +c cosq -> 0.5 ( 1 + exp(-2q) ) * exp(q-p) +c exponent = pex +c (this is because we are normalizing all elements in the +c Haskell matrix ) +c Compound: +c cosp * cosq -> normalized cosp * cosq exponent = pex + qex +c 1.0 -> exp(-exa) +c----- + implicit double precision (a-h,o-z) +c common/ovrflw/ a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz + exa=0.0d+00 + a0=1.0d+00 +c----- +c examine P-wave eigenfunctions +c checking whether c> vp c=vp or c < vp +c----- + pex = 0.0d+00 + sex = 0.0d+00 + if(wvno.lt.xka)then + sinp = dsin(p) + w=sinp/ra + x=-ra*sinp + cosp=dcos(p) + elseif(wvno.eq.xka)then + cosp = 1.0d+00 + w = dpth + x = 0.0d+00 + elseif(wvno.gt.xka)then + pex = p + fac = 0.0d+00 + if(p.lt.16)fac = dexp(-2.0d+00*p) + cosp = ( 1.0d+00 + fac) * 0.5d+00 + sinp = ( 1.0d+00 - fac) * 0.5d+00 + w=sinp/ra + x=ra*sinp + endif +c----- +c examine S-wave eigenfunctions +c checking whether c > vs, c = vs, c < vs +c----- + if(wvno.lt.xkb)then + sinq=dsin(q) + y=sinq/rb + z=-rb*sinq + cosq=dcos(q) + elseif(wvno.eq.xkb)then + cosq=1.0d+00 + y=dpth + z=0.0d+00 + elseif(wvno.gt.xkb)then + sex = q + fac = 0.0d+00 + if(q.lt.16)fac = dexp(-2.0d+0*q) + cosq = ( 1.0d+00 + fac ) * 0.5d+00 + sinq = ( 1.0d+00 - fac ) * 0.5d+00 + y = sinq/rb + z = rb*sinq + endif +c----- +c form eigenfunction products for use with compound matrices +c----- + exa = pex + sex + a0=0.0d+00 + if(exa.lt.60.0d+00) a0=dexp(-exa) + cpcq=cosp*cosq + cpy=cosp*y + cpz=cosp*z + cqw=cosq*w + cqx=cosq*x + xy=x*y + xz=x*z + wy=w*y + wz=w*z + qmp = sex - pex + fac = 0.0d+00 + if(qmp.gt.-40.0d+00)fac = dexp(qmp) + cosq = cosq*fac + y=fac*y + z=fac*z + return + end +c +c +c + subroutine normc(ee,ex) +c This routine is an important step to control over- or +c underflow. +c The Haskell or Dunkin vectors are normalized before +c the layer matrix stacking. +c Note that some precision will be lost during normalization. +c + implicit double precision (a-h,o-z) + dimension ee(5) + ex = 0.0d+00 + t1 = 0.0d+00 + do 10 i = 1,5 + if(dabs(ee(i)).gt.t1) t1 = dabs(ee(i)) + 10 continue + if(t1.lt.1.d-40) t1=1.d+00 + do 20 i =1,5 + t2=ee(i) + t2=t2/t1 + ee(i)=t2 + 20 continue +c----- +c store the normalization factor in exponential form. +c----- + ex=dlog(t1) + return + end +c +c - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +c + subroutine dnka(ca,wvno2,gam,gammk,rho, + & a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz) +c Dunkin's matrix. +c + implicit double precision (a-h,o-z) + dimension ca(5,5) +c common/ ovrflw / a0,cpcq,cpy,cpz,cqw,cqx,xy,xz,wy,wz + data one,two/1.d+00,2.d+00/ + gamm1 = gam-one + twgm1=gam+gamm1 + gmgmk=gam*gammk + gmgm1=gam*gamm1 + gm1sq=gamm1*gamm1 + rho2=rho*rho + a0pq=a0-cpcq + ca(1,1)=cpcq-two*gmgm1*a0pq-gmgmk*xz-wvno2*gm1sq*wy + ca(1,2)=(wvno2*cpy-cqx)/rho + ca(1,3)=-(twgm1*a0pq+gammk*xz+wvno2*gamm1*wy)/rho + ca(1,4)=(cpz-wvno2*cqw)/rho + ca(1,5)=-(two*wvno2*a0pq+xz+wvno2*wvno2*wy)/rho2 + ca(2,1)=(gmgmk*cpz-gm1sq*cqw)*rho + ca(2,2)=cpcq + ca(2,3)=gammk*cpz-gamm1*cqw + ca(2,4)=-wz + ca(2,5)=ca(1,4) + ca(4,1)=(gm1sq*cpy-gmgmk*cqx)*rho + ca(4,2)=-xy + ca(4,3)=gamm1*cpy-gammk*cqx + ca(4,4)=ca(2,2) + ca(4,5)=ca(1,2) + ca(5,1)=-(two*gmgmk*gm1sq*a0pq+gmgmk*gmgmk*xz+ + * gm1sq*gm1sq*wy)*rho2 + ca(5,2)=ca(4,1) + ca(5,3)=-(gammk*gamm1*twgm1*a0pq+gam*gammk*gammk*xz+ + * gamm1*gm1sq*wy)*rho + ca(5,4)=ca(2,1) + ca(5,5)=ca(1,1) + t=-two*wvno2 + ca(3,1)=t*ca(5,3) + ca(3,2)=t*ca(4,3) + ca(3,3)=a0+two*(cpcq-ca(1,1)) + ca(3,4)=t*ca(2,3) + ca(3,5)=t*ca(1,3) + return + end diff --git a/src/waveletD8.f90 b/srcsparsity/waveletD8.f90 similarity index 100% rename from src/waveletD8.f90 rename to srcsparsity/waveletD8.f90 diff --git a/src/wavelettrans3domp.f90 b/srcsparsity/wavelettrans3domp.f90 similarity index 100% rename from src/wavelettrans3domp.f90 rename to srcsparsity/wavelettrans3domp.f90