From 76c5787c25eb1a3ac37b6275db19dfdb4d4b33a2 Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Sun, 16 Aug 2026 06:21:08 +0000
Subject: [PATCH] test: migrate `stats/base/dists/rayleigh/logcdf` to ULP-based
 assertions

Replaces relative tolerance comparisons with `isAlmostSameValue` checks
in the test fixture loops. The JavaScript and native implementations
both reproduce the Julia reference values exactly over all three fixture
files, so the ULP bound was tightened to `0`.

Ref: https://github.com/stdlib-js/stdlib/issues/11352

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01E1SM9ZH1ZA2Gamaz998sP9
---
 .../rayleigh/logcdf/test/test.factory.js      | 33 +++----------------
 .../dists/rayleigh/logcdf/test/test.logcdf.js | 33 +++----------------
 .../dists/rayleigh/logcdf/test/test.native.js | 33 +++----------------
 3 files changed, 12 insertions(+), 87 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.factory.js
index 3b8259614916..88b8006e31d0 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.factory.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.factory.js
@@ -21,11 +21,10 @@
 // MODULES //
 
 var tape = require( 'tape' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var abs = require( '@stdlib/math/base/special/abs' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
-var EPS = require( '@stdlib/constants/float64/eps' );
 var factory = require( './../lib/factory.js' );
 
 
@@ -127,9 +126,7 @@ tape( 'if `sigma` equals `0`, the created function evaluates a degenerate distri
 tape( 'the created function evaluates the logcdf for `x` given small scale parameter `sigma`', function test( t ) {
 	var expected;
 	var logcdf;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -140,13 +137,7 @@ tape( 'the created function evaluates the logcdf for `x` given small scale param
 	for ( i = 0; i < x.length; i++ ) {
 		logcdf = factory( sigma[i] );
 		y = logcdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
@@ -154,9 +145,7 @@ tape( 'the created function evaluates the logcdf for `x` given small scale param
 tape( 'the created function evaluates the logcdf for `x` given medium scale parameter `sigma`', function test( t ) {
 	var expected;
 	var logcdf;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -167,13 +156,7 @@ tape( 'the created function evaluates the logcdf for `x` given medium scale para
 	for ( i = 0; i < x.length; i++ ) {
 		logcdf = factory( sigma[i] );
 		y = logcdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
@@ -181,9 +164,7 @@ tape( 'the created function evaluates the logcdf for `x` given medium scale para
 tape( 'the created function evaluates the logcdf for `x` given large scale parameter `sigma`', function test( t ) {
 	var expected;
 	var logcdf;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -194,13 +175,7 @@ tape( 'the created function evaluates the logcdf for `x` given large scale param
 	for ( i = 0; i < x.length; i++ ) {
 		logcdf = factory( sigma[i] );
 		y = logcdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.logcdf.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.logcdf.js
index 8601a1e6ceed..df811de87ab2 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.logcdf.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.logcdf.js
@@ -21,11 +21,10 @@
 // MODULES //
 
 var tape = require( 'tape' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var abs = require( '@stdlib/math/base/special/abs' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
-var EPS = require( '@stdlib/constants/float64/eps' );
 var logcdf = require( './../lib' );
 
 
@@ -93,9 +92,7 @@ tape( 'if provided `sigma` equals `0`, the function evaluates a degenerate distr
 
 tape( 'the function evaluates the logcdf for `x` given small scale parameter `sigma`', function test( t ) {
 	var expected;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -105,22 +102,14 @@ tape( 'the function evaluates the logcdf for `x` given small scale parameter `si
 	sigma = smallScale.sigma;
 	for ( i = 0; i < x.length; i++ ) {
 		y = logcdf( x[i], sigma[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the logcdf for `x` given medium scale parameter `sigma`', function test( t ) {
 	var expected;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -130,22 +119,14 @@ tape( 'the function evaluates the logcdf for `x` given medium scale parameter `s
 	sigma = mediumScale.sigma;
 	for ( i = 0; i < x.length; i++ ) {
 		y = logcdf( x[i], sigma[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the logcdf for `x` given large scale parameter `sigma`', function test( t ) {
 	var expected;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -155,13 +136,7 @@ tape( 'the function evaluates the logcdf for `x` given large scale parameter `si
 	sigma = largeScale.sigma;
 	for ( i = 0; i < x.length; i++ ) {
 		y = logcdf( x[i], sigma[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.native.js
index 3a1a8eee8107..3b2a317a148a 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/rayleigh/logcdf/test/test.native.js
@@ -22,12 +22,11 @@
 
 var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var abs = require( '@stdlib/math/base/special/abs' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
-var EPS = require( '@stdlib/constants/float64/eps' );
 
 
 // FIXTURES //
@@ -102,9 +101,7 @@ tape( 'if provided `sigma` equals `0`, the function evaluates a degenerate distr
 
 tape( 'the function evaluates the logcdf for `x` given small scale parameter `sigma`', opts, function test( t ) {
 	var expected;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -114,22 +111,14 @@ tape( 'the function evaluates the logcdf for `x` given small scale parameter `si
 	sigma = smallScale.sigma;
 	for ( i = 0; i < x.length; i++ ) {
 		y = logcdf( x[i], sigma[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the logcdf for `x` given medium scale parameter `sigma`', opts, function test( t ) {
 	var expected;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -139,22 +128,14 @@ tape( 'the function evaluates the logcdf for `x` given medium scale parameter `s
 	sigma = mediumScale.sigma;
 	for ( i = 0; i < x.length; i++ ) {
 		y = logcdf( x[i], sigma[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the logcdf for `x` given large scale parameter `sigma`', opts, function test( t ) {
 	var expected;
-	var delta;
 	var sigma;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -164,13 +145,7 @@ tape( 'the function evaluates the logcdf for `x` given large scale parameter `si
 	sigma = largeScale.sigma;
 	for ( i = 0; i < x.length; i++ ) {
 		y = logcdf( x[i], sigma[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', sigma: '+sigma[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. sigma: '+sigma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
 	}
 	t.end();
 });