From 9944e94702140a8ab628b58c8a6ddee1fd419773 Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Fri, 2 Oct 2026 22:29:54 +0000
Subject: [PATCH] test: migrate `stats/base/dists/chi/skewness` to ULP-based
 assertions

Replace the computed relative-tolerance comparisons in `test/test.js` and
`test/test.native.js` with `isAlmostSameValue` assertions. The ULP bound of
`12890` is the measured minimum over the full fixture set for both the
JavaScript and C implementations.

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_016FowxTcTEq1WLD4Vqu5hFD
---
 .../stats/base/dists/chi/skewness/test/test.js       | 12 ++----------
 .../base/dists/chi/skewness/test/test.native.js      | 12 ++----------
 2 files changed, 4 insertions(+), 20 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.js
index d0de850de6ef..6eef66f4664c 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.js
@@ -21,8 +21,8 @@
 // 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 NINF = require( '@stdlib/constants/float64/ninf' );
 var skewness = require( './../lib' );
 
@@ -63,8 +63,6 @@ tape( 'if provided a degrees of freedom parameter `k` that is not a positive num
 
 tape( 'the function returns the skewness of a chi distribution', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var k;
 	var i;
 	var y;
@@ -73,13 +71,7 @@ tape( 'the function returns the skewness of a chi distribution', function test(
 	k = data.k;
 	for ( i = 0; i < expected.length; i++ ) {
 		y = skewness( k[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'k:'+k[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1e-11 * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. k: '+k[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 12890 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.native.js
index 2e2abe0e9b32..929de2075707 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/chi/skewness/test/test.native.js
@@ -22,9 +22,9 @@
 
 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' );
 
 
 // FIXTURES //
@@ -68,8 +68,6 @@ tape( 'if provided a non-positive `k`, the function returns `NaN`', opts, functi
 
 tape( 'the function returns the skewness of a chi distribution', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var k;
 	var i;
 	var y;
@@ -78,13 +76,7 @@ tape( 'the function returns the skewness of a chi distribution', opts, function
 	k = data.k;
 	for ( i = 0; i < expected.length; i++ ) {
 		y = skewness( k[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'k:'+k[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 1e-11 * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. k: '+k[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 12890 ), true, 'returns expected value' );
 	}
 	t.end();
 });