From cbc87792e8046d32f27996b4af5e684681b05f2f Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Sun, 26 Jul 2026 09:19:17 +0000
Subject: [PATCH] test: migrate `math/base/special/cscd` to ULP-based testing

Replaces relative-tolerance comparisons (EPS-scaled delta/tol) with
`isAlmostSameValue` ULP-difference assertions per stdlib-js#11352. The
tightest passing bound was determined empirically to be 2 ULPs for both
the negative- and positive-value fixture sets, and confirmed
deterministic across repeated runs.
---
 .../math/base/special/cscd/test/test.js       | 27 +++++--------------
 .../base/special/cscd/test/test.native.js     | 27 +++++--------------
 2 files changed, 14 insertions(+), 40 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/cscd/test/test.js b/lib/node_modules/@stdlib/math/base/special/cscd/test/test.js
index f98498e56be9..4f2ed1bbec37 100644
--- a/lib/node_modules/@stdlib/math/base/special/cscd/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/cscd/test/test.js
@@ -22,10 +22,9 @@
 
 var tape = require( 'tape' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var EPS = require( '@stdlib/constants/float64/eps' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var cscd = require( './../lib' );
 
 
@@ -83,12 +82,12 @@ tape( 'the function returns `+0` if provided `+infinity`', function test( t ) {
 
 tape( 'the function computes the cosecant in degrees (negative values)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
+	var ULP;
 	var x;
 	var y;
 	var i;
 
+	ULP = 2;
 	x = negative.x;
 	expected = negative.expected;
 
@@ -98,25 +97,19 @@ tape( 'the function computes the cosecant in degrees (negative values)', functio
 			t.strictEqual( y, NINF, 'x: '+x[i]+'. E: '+expected[i] );
 			continue;
 		}
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.4 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], ULP ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the cosecant in degrees (positive values)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
+	var ULP;
 	var x;
 	var y;
 	var i;
 
+	ULP = 2;
 	x = positive.x;
 	expected = positive.expected;
 
@@ -126,13 +119,7 @@ tape( 'the function computes the cosecant in degrees (positive values)', functio
 			t.strictEqual( y, PINF, 'x: '+x[i]+'. E: '+expected[i] );
 			continue;
 		}
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.4 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], ULP ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/math/base/special/cscd/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/cscd/test/test.native.js
index f1488488ccc6..0048b196998f 100644
--- a/lib/node_modules/@stdlib/math/base/special/cscd/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/cscd/test/test.native.js
@@ -23,10 +23,9 @@
 var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var EPS = require( '@stdlib/constants/float64/eps' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 
 
@@ -92,12 +91,12 @@ tape( 'the function returns `+0` if provided `+infinity`', opts, function test(
 
 tape( 'the function computes the cosecant in degrees (negative values)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
+	var ULP;
 	var x;
 	var y;
 	var i;
 
+	ULP = 2;
 	x = negative.x;
 	expected = negative.expected;
 
@@ -107,25 +106,19 @@ tape( 'the function computes the cosecant in degrees (negative values)', opts, f
 			t.strictEqual( y, NINF, 'x: '+x[i]+'. E: '+expected[i] );
 			continue;
 		}
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.4 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], ULP ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the cosecant in degrees (positive values)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
+	var ULP;
 	var x;
 	var y;
 	var i;
 
+	ULP = 2;
 	x = positive.x;
 	expected = positive.expected;
 
@@ -135,13 +128,7 @@ tape( 'the function computes the cosecant in degrees (positive values)', opts, f
 			t.strictEqual( y, PINF, 'x: '+x[i]+'. E: '+expected[i] );
 			continue;
 		}
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.4 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], ULP ), true, 'returns expected value' );
 	}
 	t.end();
 });