This commit is contained in:
Awni Hannun
2025-07-14 17:02:27 -07:00
parent ddd132ca26
commit 7fe6f03a5b

View File

@@ -82,39 +82,6 @@ array split(const array& key, int num, StreamOrDevice s /* = {} */) {
return bits({num, 2}, 4, key, s);
}
// Get the next representable value below 1.0 for half precision
// floating point types (fp16, bf16)
template <typename T>
T below_one() {
T f = T(1.0);
uint16_t* m = (uint16_t*)&f;
*m -= 1;
return f;
}
// Get the next representable value above -1.0 for half precision
// floating point types (fp16, bf16)
template <typename T>
T above_minus_one() {
T f = T(-1.0);
uint16_t* m = (uint16_t*)&f;
*m -= 1;
return f;
}
// Get the next representable value above -1.0 for half precision
// use std::nextafter as default case.
array above_minus_one_with_default(Dtype dtype) {
switch (dtype) {
case float16:
return array(above_minus_one<float16_t>(), dtype);
case bfloat16:
return array(above_minus_one<bfloat16_t>(), dtype);
default:
return array(std::nextafter(-1.0f, 0.0f), dtype);
}
}
array uniform(
const array& low,
const array& high,
@@ -139,31 +106,11 @@ array uniform(
<< " from broadcasted shape " << out_shape << ".";
throw std::invalid_argument(msg.str());
}
// Get random values between [0, nextafter(maxval, 0.0f)] since samples must
// be in [low, high)
auto get_limits = [&dtype]() {
switch (dtype) {
case float32:
return std::make_pair(
array(std::nextafter(1.0f, 0.0f), float32),
array(std::numeric_limits<uint32_t>::max(), float32));
case float16:
return std::make_pair(
array(below_one<float16_t>(), float16),
array(std::numeric_limits<uint32_t>::max(), float32));
case bfloat16:
return std::make_pair(
array(below_one<bfloat16_t>(), bfloat16),
array(std::numeric_limits<uint16_t>::max(), bfloat16));
default:
throw std::runtime_error("[uniform] Unsupported type.");
}
};
auto [upper, maxval] = get_limits();
auto out = bits(shape, size_of(maxval.dtype()), key, stream);
out = astype(divide(out, maxval, stream), dtype, stream);
out = minimum(out, upper, stream);
auto upper = array(std::nextafter(1.0f, 0.0f), float32);
auto maxval = array(std::numeric_limits<uint32_t>::max(), float32);
auto out = bits(shape, size_of(float32), key, stream);
out = divide(out, maxval, stream);
out = astype(minimum(out, upper, stream), dtype, stream);
return add(multiply(range, out, stream), lo, stream);
}
@@ -183,7 +130,7 @@ inline array complex_normal(
const std::optional<array>& key,
StreamOrDevice s) {
auto stream = to_stream(s);
auto low = above_minus_one_with_default(float32);
auto low = array(std::nextafter(-1.0f, 0.0f), float32);
auto high = array(1.0f, float32);
shape.push_back(2);
auto samples =
@@ -210,15 +157,16 @@ array normal(
}
auto stream = to_stream(s);
auto low = above_minus_one_with_default(dtype);
auto high = array(1.0f, dtype);
auto samples = uniform(low, high, shape, dtype, key, stream);
auto low = array(std::nextafter(-1.0f, 0.0f), float32);
auto high = array(1.0f, float32);
auto samples = uniform(low, high, shape, float32, key, stream);
auto applied_scale = array(std::sqrt(2.0), dtype);
if (scale.has_value()) {
applied_scale =
multiply(applied_scale, astype(*scale, dtype, stream), stream);
}
samples = multiply(applied_scale, erfinv(samples, stream), stream);
samples = astype(erfinv(samples, stream), dtype, stream);
samples = multiply(applied_scale, samples, stream);
if (loc.has_value()) {
samples = add(astype(*loc, dtype, stream), samples, stream);
}
@@ -470,15 +418,16 @@ array laplace(
const std::optional<array>& key /*= nullopt */,
StreamOrDevice s /* = {} */) {
auto stream = to_stream(s);
auto low = above_minus_one_with_default(dtype);
auto high = array(1.0f, dtype);
auto samples = uniform(low, high, shape, dtype, key, stream);
auto low = array(std::nextafter(-1.0f, 0.0f), float32);
auto high = array(1.0f, float32);
auto samples = uniform(low, high, shape, float32, key, stream);
// Use inverse CDF to generate Laplacian noise
samples = multiply(
sign(samples, stream),
log1p(
multiply(array(-1.0f, dtype), abs(samples, stream), stream), stream),
stream);
samples = astype(samples, dtype, stream);
if (scale != 1.0) {
samples = multiply(array(scale, dtype), samples, stream);