From 317a4e6ca12423dfd146527d4ad6768d625690ae Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Fri, 24 Jul 2026 05:01:36 +0000
Subject: [PATCH] test: migrate math/base/special/coth to ULP-based testing

Replaces the EPS-based relative-tolerance comparisons in test.js and
test.native.js with @stdlib/assert/is-almost-same-value, using the
minimum required ULP values verified against the fixtures.

Resolves a part of #11352.
---
 .../math/base/special/coth/test/test.js       | 53 +++----------------
 .../base/special/coth/test/test.native.js     | 53 +++----------------
 2 files changed, 12 insertions(+), 94 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/coth/test/test.js b/lib/node_modules/@stdlib/math/base/special/coth/test/test.js
index 1b6f2d3b0d2d..2284b0b8f786 100644
--- a/lib/node_modules/@stdlib/math/base/special/coth/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/coth/test/test.js
@@ -26,8 +26,7 @@ var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
 var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
-var EPS = require( '@stdlib/constants/float64/eps' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var coth = require( './../lib' );
 
 
@@ -50,8 +49,6 @@ tape( 'main export is a function', function test( t ) {
 
 tape( 'the function computes the hyperbolic cotangent', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -64,21 +61,13 @@ tape( 'the function computes the hyperbolic cotangent', function test( t ) {
 			continue;
 		}
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.75 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (tiny negative)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -88,21 +77,13 @@ tape( 'the function computes the hyperbolic cotangent (tiny negative)', function
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (tiny positive)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -112,21 +93,13 @@ tape( 'the function computes the hyperbolic cotangent (tiny positive)', function
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (large negative)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -136,21 +109,13 @@ tape( 'the function computes the hyperbolic cotangent (large negative)', functio
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (large positive)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -160,13 +125,7 @@ tape( 'the function computes the hyperbolic cotangent (large positive)', functio
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/math/base/special/coth/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/coth/test/test.native.js
index 3ea327fda9db..56c4789c64ad 100644
--- a/lib/node_modules/@stdlib/math/base/special/coth/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/coth/test/test.native.js
@@ -28,8 +28,7 @@ var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
-var EPS = require( '@stdlib/constants/float64/eps' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 
 
 // VARIABLES //
@@ -59,8 +58,6 @@ tape( 'main export is a function', opts, function test( t ) {
 
 tape( 'the function computes the hyperbolic cotangent', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -73,21 +70,13 @@ tape( 'the function computes the hyperbolic cotangent', opts, function test( t )
 			continue;
 		}
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.75 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 2 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (tiny negative)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -97,21 +86,13 @@ tape( 'the function computes the hyperbolic cotangent (tiny negative)', opts, fu
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (tiny positive)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -121,21 +102,13 @@ tape( 'the function computes the hyperbolic cotangent (tiny positive)', opts, fu
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (large negative)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -145,21 +118,13 @@ tape( 'the function computes the hyperbolic cotangent (large negative)', opts, f
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the hyperbolic cotangent (large positive)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -169,13 +134,7 @@ tape( 'the function computes the hyperbolic cotangent (large positive)', opts, f
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = coth( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. Expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. Value: '+y+'. Expected: '+expected[i]+'. Tolerance: '+tol+'.' );
-		}
+		t.strictEqual( y, expected[ i ], 'returns expected value' );
 	}
 	t.end();
 });