From 248621c320c1d64d143c4c7cfe582013572f2b16 Mon Sep 17 00:00:00 2001 From: Abhist17 Date: Fri, 2 Oct 2026 13:43:51 +0530 Subject: [PATCH 1/4] fix: avoid underflow for small `x` in `stats/base/dists/weibull/logcdf` `(x/lambda)^k` underflows to `0` for small `x`, so the function returned `-Infinity` although the log-CDF is `k*ln(x/lambda)` to working precision there. Return `k*ln(x/lambda)` once it is below `-36`. The fixtures are now generated from the textbook formula in extended precision. --- .../base/dists/weibull/logcdf/lib/factory.js | 6 ++++ .../base/dists/weibull/logcdf/lib/main.js | 6 ++++ .../base/dists/weibull/logcdf/src/main.c | 6 ++++ .../logcdf/test/fixtures/julia/REQUIRE | 1 - .../test/fixtures/julia/both_large.json | 2 +- .../test/fixtures/julia/large_scale.json | 2 +- .../test/fixtures/julia/large_shape.json | 2 +- .../logcdf/test/fixtures/julia/runner.jl | 14 +++++++--- .../logcdf/test/fixtures/julia/small_x.json | 1 + .../dists/weibull/logcdf/test/test.factory.js | 28 +++++++++++++++++-- .../dists/weibull/logcdf/test/test.logcdf.js | 26 +++++++++++++++-- .../dists/weibull/logcdf/test/test.native.js | 26 +++++++++++++++-- 12 files changed, 103 insertions(+), 17 deletions(-) create mode 100644 lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js index c878b7b7cac2..a538db21744a 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js @@ -71,6 +71,7 @@ function factory( k, lambda ) { * // returns */ function logcdf( x ) { + var lt; var p; if ( isnan( x ) ) { return NaN; @@ -78,6 +79,11 @@ function factory( k, lambda ) { if ( x < 0.0 ) { return NINF; } + lt = k * ln( x / lambda ); + if ( lt < -36.0 ) { + // For `t = (x/lambda)^k < e^-36`, `ln(1 - e^-t) = ln(t) + ln(1 - t/2 + ...)` and the correction is below half an ULP of `ln(t)`. Using `ln(t)` directly avoids `t` underflowing to `0`: + return lt; + } p = -pow( x / lambda, k ); return ( p < LNHALF ) ? log1p( -exp( p ) ) : ln( -expm1( p ) ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js index 6d48caf56e39..a1fa40a0f955 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js @@ -73,6 +73,7 @@ var NINF = require( '@stdlib/constants/float64/ninf' ); * // returns NaN */ function logcdf( x, k, lambda ) { + var lt; var p; if ( isnan( k ) || @@ -85,6 +86,11 @@ function logcdf( x, k, lambda ) { if ( x < 0.0 ) { return NINF; } + lt = k * ln( x / lambda ); + if ( lt < -36.0 ) { + // For `t = (x/lambda)^k < e^-36`, `ln(1 - e^-t) = ln(t) + ln(1 - t/2 + ...)` and the correction is below half an ULP of `ln(t)`. Using `ln(t)` directly avoids `t` underflowing to `0`: + return lt; + } p = -pow( x / lambda, k ); return ( p < LNHALF ) ? log1p( -exp( p ) ) : ln( -expm1( p ) ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c index 5243fa92fb41..73582ef4be67 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c @@ -39,6 +39,7 @@ * // returns ~-0.145 */ double stdlib_base_dists_weibull_logcdf( const double x, const double k, const double lambda ) { + double lt; double p; if ( stdlib_base_is_nan( x ) || @@ -51,6 +52,11 @@ double stdlib_base_dists_weibull_logcdf( const double x, const double k, const d if ( x < 0.0 ) { return STDLIB_CONSTANT_FLOAT64_NINF; } + lt = k * stdlib_base_ln( x / lambda ); + if ( lt < -36.0 ) { + // For `t = (x/lambda)^k < e^-36`, `ln(1 - e^-t) = ln(t) + ln(1 - t/2 + ...)` and the correction is below half an ULP of `ln(t)`. Using `ln(t)` directly avoids `t` underflowing to `0`: + return lt; + } p = -stdlib_base_pow( x / lambda, k ); return ( p < STDLIB_CONSTANT_FLOAT64_LN_HALF ) ? stdlib_base_log1p( -stdlib_base_exp( p ) ) : stdlib_base_ln( -stdlib_base_expm1( p ) ); } diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/REQUIRE index 98be20b58ed3..308c3be89c85 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/REQUIRE +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/REQUIRE @@ -1,3 +1,2 @@ -Distributions 0.23.8 julia 1.5 JSON 0.21 diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/both_large.json b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/both_large.json index eaece438e91a..40ddb171bcbd 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/both_large.json +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/both_large.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_scale.json b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_scale.json index 46d47035c430..e5eba1b09aa5 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_scale.json +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_scale.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_shape.json b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_shape.json index 0cb40a3979d1..48c122ac2711 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_shape.json +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/large_shape.json @@ -1 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl index 112eeeb459a5..90ad84836fd6 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl @@ -16,7 +16,6 @@ # See the License for the specific language governing permissions and # limitations under the License. -import Distributions: logcdf, Weibull import JSON """ @@ -24,6 +23,8 @@ import JSON Generate fixture data and write to file. +The logarithm of the CDF is evaluated in extended precision from the textbook formula `ln(1 - exp(-(x/lambda)^k))`, written with `expm1` so that it stays exact when `(x/lambda)^k` is far below the working precision, as `(x/lambda)^k` underflows in double precision for small `x`. + # Arguments * `x`: input value @@ -41,9 +42,8 @@ julia> gen( x, k, lambda, "data.json" ); ``` """ function gen( x, k, lambda, name ) - z = Array{Float64}( undef, length(x) ); - for i in eachindex(x) - z[ i ] = logcdf( Weibull( k[i], lambda[i] ), x[i] ); + z = setprecision( BigFloat, 2048 ) do + Float64.( log.( .-expm1.( .-( ( BigFloat.( x ) ./ BigFloat.( lambda ) ) .^ BigFloat.( k ) ) ) ) ) end # Store data to be written to file as a collection: @@ -87,3 +87,9 @@ x = rand( 1000 ) .* 5.0; lambda = ( rand( 1000 ) .* 5.0 ) .+ 10.0; k = ( rand( 1000 ) .* 5.0 ) .+ 10.0; gen( x, k, lambda, "both_large.json" ); + +# Small `x`: +x = exp10.( range( -300.0, stop = -2.0, length = 1000 ) ); +lambda = ( rand( 1000 ) .* 5.0 ) .+ 0.5; +k = ( rand( 1000 ) .* 5.0 ) .+ 0.5; +gen( x, k, lambda, "small_x.json" ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json new file mode 100644 index 000000000000..c370e10d4e91 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.factory.js index 6e4def4d5788..f6cbcdb58b04 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.factory.js @@ -31,6 +31,7 @@ var factory = require( './../lib/factory.js' ); // FIXTURES // var largeScale = require( './fixtures/julia/large_scale.json' ); +var smallX = require( './fixtures/julia/small_x.json' ); var largeShape = require( './fixtures/julia/large_shape.json' ); var bothLarge = require( './fixtures/julia/both_large.json' ); @@ -192,7 +193,7 @@ tape( 'the created function evaluates the logcdf for `x` given large `lambda` an for ( i = 0; i < x.length; i++ ) { logcdf = factory( k[i], lambda[i] ); y = logcdf( x[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' ); } t.end(); }); @@ -213,7 +214,7 @@ tape( 'the created function evaluates the logcdf for `x` given large shape param for ( i = 0; i < x.length; i++ ) { logcdf = factory( k[i], lambda[i] ); y = logcdf( x[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 3236 ), true, 'returns expected value' ); } t.end(); }); @@ -234,7 +235,28 @@ tape( 'the created function evaluates the logcdf for `x` given large scale param for ( i = 0; i < x.length; i++ ) { logcdf = factory( k[i], lambda[i] ); y = logcdf( x[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the created function evaluates the logcdf for `x` close to `0`', function test( t ) { + var expected; + var logcdf; + var lambda; + var i; + var k; + var x; + var y; + + expected = smallX.expected; + x = smallX.x; + lambda = smallX.lambda; + k = smallX.k; + for ( i = 0; i < x.length; i++ ) { + logcdf = factory( k[i], lambda[i] ); + y = logcdf( x[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.logcdf.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.logcdf.js index f1a62659813c..ccb5e28f635d 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.logcdf.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.logcdf.js @@ -31,6 +31,7 @@ var logcdf = require( './../lib' ); // FIXTURES // var largeScale = require( './fixtures/julia/large_scale.json' ); +var smallX = require( './fixtures/julia/small_x.json' ); var largeShape = require( './fixtures/julia/large_shape.json' ); var bothLarge = require( './fixtures/julia/both_large.json' ); @@ -133,7 +134,7 @@ tape( 'the function evaluates the logcdf for `x` given large `lambda` and `k`', k = bothLarge.k; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], k[i], lambda[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' ); } t.end(); }); @@ -152,7 +153,7 @@ tape( 'the function evaluates the logcdf for `x` given large shape parameter `la k = largeShape.k; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], k[i], lambda[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 3236 ), true, 'returns expected value' ); } t.end(); }); @@ -171,7 +172,26 @@ tape( 'the function evaluates the logcdf for `x` given large scale parameter `k` k = largeScale.k; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], k[i], lambda[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the logcdf for `x` close to `0`', function test( t ) { + var expected; + var lambda; + var i; + var k; + var x; + var y; + + expected = smallX.expected; + x = smallX.x; + lambda = smallX.lambda; + k = smallX.k; + for ( i = 0; i < x.length; i++ ) { + y = logcdf( x[i], k[i], lambda[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' ); } t.end(); }); diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.native.js index 758e157c1d73..89ca8ee23c1a 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.native.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/test.native.js @@ -32,6 +32,7 @@ var NINF = require( '@stdlib/constants/float64/ninf' ); // FIXTURES // var largeScale = require( './fixtures/julia/large_scale.json' ); +var smallX = require( './fixtures/julia/small_x.json' ); var largeShape = require( './fixtures/julia/large_shape.json' ); var bothLarge = require( './fixtures/julia/both_large.json' ); @@ -142,7 +143,7 @@ tape( 'the function evaluates the logcdf for `x` given large `lambda` and `k`', k = bothLarge.k; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], k[i], lambda[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' ); } t.end(); }); @@ -161,7 +162,7 @@ tape( 'the function evaluates the logcdf for `x` given large shape parameter `la k = largeShape.k; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], k[i], lambda[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 3236 ), true, 'returns expected value' ); } t.end(); }); @@ -180,7 +181,26 @@ tape( 'the function evaluates the logcdf for `x` given large scale parameter `k` k = largeScale.k; for ( i = 0; i < x.length; i++ ) { y = logcdf( x[i], k[i], lambda[i] ); - t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function evaluates the logcdf for `x` close to `0`', opts, function test( t ) { + var expected; + var lambda; + var i; + var k; + var x; + var y; + + expected = smallX.expected; + x = smallX.x; + lambda = smallX.lambda; + k = smallX.k; + for ( i = 0; i < x.length; i++ ) { + y = logcdf( x[i], k[i], lambda[i] ); + t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' ); } t.end(); }); From 28f76a447d1753d1f335d5721f373813f992e118 Mon Sep 17 00:00:00 2001 From: Abhist17 Date: Sat, 3 Oct 2026 23:59:09 +0530 Subject: [PATCH 2/4] fix: handle a subnormal `x/lambda` Co-authored-by: 0PrashantYadav0 <0PrashantYadav0@users.noreply.github.com> --- .../stats/base/dists/weibull/logcdf/lib/factory.js | 9 ++++++++- .../@stdlib/stats/base/dists/weibull/logcdf/lib/main.js | 9 ++++++++- .../stats/base/dists/weibull/logcdf/manifest.json | 3 +++ .../@stdlib/stats/base/dists/weibull/logcdf/src/main.c | 9 ++++++++- .../dists/weibull/logcdf/test/fixtures/julia/runner.jl | 2 +- .../weibull/logcdf/test/fixtures/julia/small_x.json | 2 +- 6 files changed, 29 insertions(+), 5 deletions(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js index a538db21744a..c365249ee5ee 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/factory.js @@ -28,6 +28,7 @@ var exp = require( '@stdlib/math/base/special/exp' ); var pow = require( '@stdlib/math/base/special/pow' ); var ln = require( '@stdlib/math/base/special/ln' ); var LNHALF = require( '@stdlib/constants/float64/ln-half' ); +var FLOAT64_SMALLEST_NORMAL = require( '@stdlib/constants/float64/smallest-normal' ); var NINF = require( '@stdlib/constants/float64/ninf' ); @@ -72,6 +73,7 @@ function factory( k, lambda ) { */ function logcdf( x ) { var lt; + var r; var p; if ( isnan( x ) ) { return NaN; @@ -79,7 +81,12 @@ function factory( k, lambda ) { if ( x < 0.0 ) { return NINF; } - lt = k * ln( x / lambda ); + r = x / lambda; + if ( r < FLOAT64_SMALLEST_NORMAL ) { + lt = k * ( ln( x ) - ln( lambda ) ); + } else { + lt = k * ln( r ); + } if ( lt < -36.0 ) { // For `t = (x/lambda)^k < e^-36`, `ln(1 - e^-t) = ln(t) + ln(1 - t/2 + ...)` and the correction is below half an ULP of `ln(t)`. Using `ln(t)` directly avoids `t` underflowing to `0`: return lt; diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js index a1fa40a0f955..40dc10a31815 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js @@ -27,6 +27,7 @@ var exp = require( '@stdlib/math/base/special/exp' ); var pow = require( '@stdlib/math/base/special/pow' ); var ln = require( '@stdlib/math/base/special/ln' ); var LNHALF = require( '@stdlib/constants/float64/ln-half' ); +var FLOAT64_SMALLEST_NORMAL = require( '@stdlib/constants/float64/smallest-normal' ); var NINF = require( '@stdlib/constants/float64/ninf' ); @@ -74,6 +75,7 @@ var NINF = require( '@stdlib/constants/float64/ninf' ); */ function logcdf( x, k, lambda ) { var lt; + var r; var p; if ( isnan( k ) || @@ -86,7 +88,12 @@ function logcdf( x, k, lambda ) { if ( x < 0.0 ) { return NINF; } - lt = k * ln( x / lambda ); + r = x / lambda; + if ( r < FLOAT64_SMALLEST_NORMAL ) { + lt = k * ( ln( x ) - ln( lambda ) ); + } else { + lt = k * ln( r ); + } if ( lt < -36.0 ) { // For `t = (x/lambda)^k < e^-36`, `ln(1 - e^-t) = ln(t) + ln(1 - t/2 + ...)` and the correction is below half an ULP of `ln(t)`. Using `ln(t)` directly avoids `t` underflowing to `0`: return lt; diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/manifest.json b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/manifest.json index 244f50fb2145..6fd9c40866e9 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/manifest.json +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/manifest.json @@ -47,6 +47,7 @@ "@stdlib/math/base/special/ln", "@stdlib/math/base/special/pow", "@stdlib/constants/float64/ln-half", + "@stdlib/constants/float64/smallest-normal", "@stdlib/constants/float64/ninf" ] }, @@ -71,6 +72,7 @@ "@stdlib/math/base/special/ln", "@stdlib/math/base/special/pow", "@stdlib/constants/float64/ln-half", + "@stdlib/constants/float64/smallest-normal", "@stdlib/constants/float64/ninf" ] }, @@ -94,6 +96,7 @@ "@stdlib/math/base/special/ln", "@stdlib/math/base/special/pow", "@stdlib/constants/float64/ln-half", + "@stdlib/constants/float64/smallest-normal", "@stdlib/constants/float64/ninf" ] } diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c index 73582ef4be67..29b04bb0e6d6 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/src/main.c @@ -24,6 +24,7 @@ #include "stdlib/math/base/special/exp.h" #include "stdlib/math/base/special/ln.h" #include "stdlib/constants/float64/ln_half.h" +#include "stdlib/constants/float64/smallest_normal.h" #include "stdlib/constants/float64/ninf.h" /** @@ -40,6 +41,7 @@ */ double stdlib_base_dists_weibull_logcdf( const double x, const double k, const double lambda ) { double lt; + double r; double p; if ( stdlib_base_is_nan( x ) || @@ -52,7 +54,12 @@ double stdlib_base_dists_weibull_logcdf( const double x, const double k, const d if ( x < 0.0 ) { return STDLIB_CONSTANT_FLOAT64_NINF; } - lt = k * stdlib_base_ln( x / lambda ); + r = x / lambda; + if ( r < STDLIB_CONSTANT_FLOAT64_SMALLEST_NORMAL ) { + lt = k * ( stdlib_base_ln( x ) - stdlib_base_ln( lambda ) ); + } else { + lt = k * stdlib_base_ln( r ); + } if ( lt < -36.0 ) { // For `t = (x/lambda)^k < e^-36`, `ln(1 - e^-t) = ln(t) + ln(1 - t/2 + ...)` and the correction is below half an ULP of `ln(t)`. Using `ln(t)` directly avoids `t` underflowing to `0`: return lt; diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl index 90ad84836fd6..6df552eefc76 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/runner.jl @@ -89,7 +89,7 @@ k = ( rand( 1000 ) .* 5.0 ) .+ 10.0; gen( x, k, lambda, "both_large.json" ); # Small `x`: -x = exp10.( range( -300.0, stop = -2.0, length = 1000 ) ); +x = exp10.( range( -323.0, stop = -2.0, length = 1000 ) ); lambda = ( rand( 1000 ) .* 5.0 ) .+ 0.5; k = ( rand( 1000 ) .* 5.0 ) .+ 0.5; gen( x, k, lambda, "small_x.json" ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json index c370e10d4e91..1c3fcb6c3f09 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/test/fixtures/julia/small_x.json @@ -1 +1 @@ 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From 478fbdea26b39b8f450bc2c063e5575affb2adcf Mon Sep 17 00:00:00 2001 From: Abhist17 Date: Sun, 4 Oct 2026 01:40:28 +0530 Subject: [PATCH 3/4] docs: show `-0.0` for `x = +Infinity` `log1p( -exp( -Infinity ) )` is `log1p( -0.0 )`, so the function returns `-0.0` there, as it does on develop; the doctest flagged the example once the file changed. --- .../@stdlib/stats/base/dists/weibull/logcdf/README.md | 2 +- .../stats/base/dists/weibull/logcdf/docs/types/index.d.ts | 2 +- .../@stdlib/stats/base/dists/weibull/logcdf/lib/main.js | 2 +- .../@stdlib/stats/base/dists/weibull/logcdf/lib/native.js | 2 +- 4 files changed, 4 insertions(+), 4 deletions(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/README.md b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/README.md index 0640bbc462a0..b38bbe8faeeb 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/README.md +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/README.md @@ -68,7 +68,7 @@ y = logcdf( -Infinity, 4.0, 2.0 ); // returns -Infinity y = logcdf( +Infinity, 4.0, 2.0 ); -// returns 0.0 +// returns -0.0 ``` If provided `NaN` as any argument, the function returns `NaN`. diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/types/index.d.ts index 4f8233acb2b2..06927a7f1608 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/types/index.d.ts +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/types/index.d.ts @@ -52,7 +52,7 @@ interface LogCDF { * * @example * var y = logcdf( +Infinity, 4.0, 2.0 ); - * // returns 0.0 + * // returns -0.0 * * @example * var y = logcdf( -Infinity, 4.0, 2.0 ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js index 40dc10a31815..fc951aa76dbb 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/main.js @@ -51,7 +51,7 @@ var NINF = require( '@stdlib/constants/float64/ninf' ); * * @example * var y = logcdf( +Infinity, 4.0, 2.0 ); -* // returns 0.0 +* // returns -0.0 * * @example * var y = logcdf( -Infinity, 4.0, 2.0 ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/native.js b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/native.js index 2ce4c6f8b2cb..3a45cbeb5b16 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/native.js +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/lib/native.js @@ -44,7 +44,7 @@ var addon = require( './../src/addon.node' ); * * @example * var y = logcdf( +Infinity, 4.0, 2.0 ); -* // returns 0.0 +* // returns -0.0 * * @example * var y = logcdf( -Infinity, 4.0, 2.0 ); From a23e4edeed3bf5171a8e3320e8e085673b6bf4db Mon Sep 17 00:00:00 2001 From: Abhist17 Date: Tue, 13 Oct 2026 11:51:04 +0530 Subject: [PATCH 4/4] docs: show `-0.0` for the `pinf` example in `stats/base/dists/weibull/logcdf` REPL text Per review: matches the README and JSDoc. --- .../@stdlib/stats/base/dists/weibull/logcdf/docs/repl.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/repl.txt index af713ab0bbf3..08fbc79b32b2 100644 --- a/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/repl.txt +++ b/lib/node_modules/@stdlib/stats/base/dists/weibull/logcdf/docs/repl.txt @@ -31,7 +31,7 @@ > y = {{alias}}( -1.0, 2.0, 2.0 ) -Infinity > y = {{alias}}( {{alias:@stdlib/constants/float64/pinf}}, 4.0, 2.0 ) - 0.0 + -0.0 > y = {{alias}}( {{alias:@stdlib/constants/float64/ninf}}, 4.0, 2.0 ) -Infinity > y = {{alias}}( NaN, 0.0, 1.0 )