From a22aa4730bb27db908556317cf048d475631fd63 Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Wed, 5 Aug 2026 09:24:58 +0000
Subject: [PATCH] test: migrate `stats/base/dists/pareto-type1/cdf` to
 ULP-based assertions

Replaces the EPS-based relative-tolerance idiom (`delta`/`tol`) in
test.cdf.js, test.factory.js, and test.native.js with
`isAlmostSameValue` at a measured-minimum ULP bound of 1.

Ref: #11352
---
 .../dists/pareto-type1/cdf/test/test.cdf.js   | 33 +++----------------
 .../pareto-type1/cdf/test/test.factory.js     | 33 +++----------------
 .../pareto-type1/cdf/test/test.native.js      | 33 +++----------------
 3 files changed, 12 insertions(+), 87 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.cdf.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.cdf.js
index 64188394cb5b..d4d1b00aec7f 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.cdf.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.cdf.js
@@ -22,10 +22,9 @@
 
 var tape = require( 'tape' );
 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 isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var cdf = require( './../lib' );
 
 
@@ -129,10 +128,8 @@ tape( 'if provided a nonpositive `beta`, the function returns `NaN`', function t
 
 tape( 'the function evaluates the cdf for `x` given large `alpha` and `beta`', function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -143,23 +140,15 @@ tape( 'the function evaluates the cdf for `x` given large `alpha` and `beta`', f
 	beta = bothLarge.beta;
 	for ( i = 0; i < x.length; i++ ) {
 		y = cdf( x[i], alpha[i], beta[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the cdf for `x` given large `alpha` parameter', function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -170,23 +159,15 @@ tape( 'the function evaluates the cdf for `x` given large `alpha` parameter', fu
 	beta = largeAlpha.beta;
 	for ( i = 0; i < x.length; i++ ) {
 		y = cdf( x[i], alpha[i], beta[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the cdf for `x` given large rate parameter `beta`', function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -197,13 +178,7 @@ tape( 'the function evaluates the cdf for `x` given large rate parameter `beta`'
 	beta = largeBeta.beta;
 	for ( i = 0; i < x.length; i++ ) {
 		y = cdf( x[i], alpha[i], beta[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.factory.js
index 0e16e5299e87..510359f8dc98 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.factory.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.factory.js
@@ -22,10 +22,9 @@
 
 var tape = require( 'tape' );
 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 isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var factory = require( './../lib/factory.js' );
 
 
@@ -188,11 +187,9 @@ tape( 'if provided a nonpositive `beta`, the created function always returns `Na
 
 tape( 'the created function evaluates the cdf for `x` given large `alpha` and `beta`', function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
 	var cdf;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -204,24 +201,16 @@ tape( 'the created function evaluates the cdf for `x` given large `alpha` and `b
 	for ( i = 0; i < x.length; i++ ) {
 		cdf = factory( alpha[i], beta[i] );
 		y = cdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the created function evaluates the cdf for `x` given large `alpha` parameter', function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
 	var cdf;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -233,24 +222,16 @@ tape( 'the created function evaluates the cdf for `x` given large `alpha` parame
 	for ( i = 0; i < x.length; i++ ) {
 		cdf = factory( alpha[i], beta[i] );
 		y = cdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the created function evaluates the cdf for `x` given large `beta` parameter', function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
 	var cdf;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -262,13 +243,7 @@ tape( 'the created function evaluates the cdf for `x` given large `beta` paramet
 	for ( i = 0; i < x.length; i++ ) {
 		cdf = factory( alpha[i], beta[i] );
 		y = cdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.native.js
index 6357e5368c8b..386d93d8b7d9 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/pareto-type1/cdf/test/test.native.js
@@ -24,10 +24,9 @@ var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
 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' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 
 
 // VARIABLES //
@@ -138,10 +137,8 @@ tape( 'if provided a nonpositive `beta`, the function returns `NaN`', opts, func
 
 tape( 'the function evaluates the cdf for `x` given large `alpha` and `beta`', opts, function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -152,23 +149,15 @@ tape( 'the function evaluates the cdf for `x` given large `alpha` and `beta`', o
 	beta = bothLarge.beta;
 	for ( i = 0; i < x.length; i++ ) {
 		y = cdf( x[i], alpha[i], beta[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the cdf for `x` given large `alpha` parameter', opts, function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -179,23 +168,15 @@ tape( 'the function evaluates the cdf for `x` given large `alpha` parameter', op
 	beta = largeAlpha.beta;
 	for ( i = 0; i < x.length; i++ ) {
 		y = cdf( x[i], alpha[i], beta[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the cdf for `x` given large rate parameter `beta`', opts, function test( t ) {
 	var expected;
-	var delta;
 	var alpha;
 	var beta;
-	var tol;
 	var i;
 	var x;
 	var y;
@@ -206,13 +187,7 @@ tape( 'the function evaluates the cdf for `x` given large rate parameter `beta`'
 	beta = largeBeta.beta;
 	for ( i = 0; i < x.length; i++ ) {
 		y = cdf( x[i], alpha[i], beta[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', alpha: '+alpha[i]+', beta: '+beta[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 ]+'. alpha: '+alpha[i]+'. beta: '+beta[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });