lower memory uniform sampling (#2361)

* lower memory uniform

* use fp32

* fix
This commit is contained in:
Awni Hannun 2025-07-15 14:22:07 -07:00 committed by GitHub
parent cb349a291c
commit 2ba69bc8fa
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2 changed files with 33 additions and 48 deletions

View File

@ -92,29 +92,6 @@ T below_one() {
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 +116,27 @@ 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
// Get random values between [0, nextafter(1.0, 0.0)] since samples must
// be in [low, high)
auto get_limits = [&dtype]() {
auto get_upper = [&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));
return array(std::nextafter(1.0f, 0.0f), float32);
case float16:
return std::make_pair(
array(below_one<float16_t>(), float16),
array(std::numeric_limits<uint16_t>::max(), float32));
return array(below_one<float16_t>(), float32);
case bfloat16:
return std::make_pair(
array(below_one<bfloat16_t>(), bfloat16),
array(std::numeric_limits<uint16_t>::max(), float32));
return array(below_one<bfloat16_t>(), float32);
default:
throw std::runtime_error("[uniform] Unsupported type.");
}
};
auto [upper, maxval] = get_limits();
auto out = bits(shape, size_of(dtype), key, stream);
out = astype(divide(out, maxval, stream), dtype, stream);
out = minimum(out, upper, stream);
auto upper = get_upper();
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 +156,7 @@ 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 =
@ -207,18 +180,23 @@ array normal(
StreamOrDevice s /* = {} */) {
if (dtype == complex64) {
return complex_normal(shape, loc, scale, key, s);
} else if (!issubdtype(dtype, floating)) {
throw std::invalid_argument(
"[normal] Can only generate uniform numbers with "
"floating point type.");
}
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);
}
@ -469,16 +447,23 @@ array laplace(
const float scale /* = 1.0 */,
const std::optional<array>& key /*= nullopt */,
StreamOrDevice s /* = {} */) {
if (!issubdtype(dtype, floating)) {
throw std::invalid_argument(
"[laplace] Can only generate uniform numbers with real"
"floating point type.");
}
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);

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@ -350,7 +350,7 @@ TEST_CASE("test random uniform") {
// Check float16
{
auto key = random::key(0);
auto out = random::uniform({100}, float16, key);
auto out = random::uniform({1000}, float16, key);
CHECK_EQ(out.dtype(), float16);
CHECK(all(less(out, array(1.0f))).item<bool>());
CHECK(all(greater_equal(out, array(0.0f))).item<bool>());
@ -360,7 +360,7 @@ TEST_CASE("test random uniform") {
{
auto key = random::key(0);
auto out = random::uniform({100}, bfloat16, key);
auto out = random::uniform({1000}, bfloat16, key);
CHECK_EQ(out.dtype(), bfloat16);
CHECK(all(less(out, array(1.0f))).item<bool>());
CHECK(all(greater_equal(out, array(0.0f))).item<bool>());