From d3c749d80efcd3d937d8d031355754a17bcaf95b Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Sun, 23 Aug 2026 14:15:14 +0000
Subject: [PATCH] test: migrate `stats/base/dists/t/pdf` to ULP-based
 assertions

Ref: https://github.com/stdlib-js/stdlib/issues/11352
---
 .../base/dists/t/pdf/test/test.factory.js     | 43 +++----------------
 .../base/dists/t/pdf/test/test.native.js      | 43 +++----------------
 .../stats/base/dists/t/pdf/test/test.pdf.js   | 43 +++----------------
 3 files changed, 15 insertions(+), 114 deletions(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.factory.js b/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.factory.js
index 4a0a880677da..d3a3e6dfc672 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.factory.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/t/pdf/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' );
 
 
@@ -131,9 +130,7 @@ tape( 'if provided a nonpositive `v`, the created function always returns `NaN`'
 
 tape( 'the created function evaluates the pdf for `x` given parameter `v` (when `x` and `v` are small)', function test( t ) {
 	var expected;
-	var delta;
 	var pdf;
-	var tol;
 	var i;
 	var v;
 	var x;
@@ -145,22 +142,14 @@ tape( 'the created function evaluates the pdf for `x` given parameter `v` (when
 	for ( i = 0; i < x.length; i++ ) {
 		pdf = factory( v[i] );
 		y = pdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 10.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 9 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is large and `v` small)', function test( t ) {
 	var expected;
-	var delta;
 	var pdf;
-	var tol;
 	var i;
 	var v;
 	var x;
@@ -172,22 +161,14 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is l
 	for ( i = 0; i < x.length; i++ ) {
 		pdf = factory( v[i] );
 		y = pdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 10.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 12 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is small and `v` large)', function test( t ) {
 	var expected;
-	var delta;
 	var pdf;
-	var tol;
 	var i;
 	var v;
 	var x;
@@ -199,22 +180,14 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is s
 	for ( i = 0; i < x.length; i++ ) {
 		pdf = factory( v[i] );
 		y = pdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 40.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 52 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and `v` are large)', function test( t ) {
 	var expected;
-	var delta;
 	var pdf;
-	var tol;
 	var i;
 	var v;
 	var x;
@@ -226,13 +199,7 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and
 	for ( i = 0; i < x.length; i++ ) {
 		pdf = factory( v[i] );
 		y = pdf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 40.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 57 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.native.js
index 6f0693e3bb68..57d05491f9b0 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/t/pdf/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 //
@@ -112,8 +111,6 @@ tape( 'if provided a nonpositive `v`, the function always returns `NaN`', opts,
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and `v` are small)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -124,21 +121,13 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and
 	v = smallSmall.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[ i ], v[ i ] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: ' + x[ i ] + ', v: ' + v[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 10.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. v: ' + v[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 9 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is large and `v` small)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -149,21 +138,13 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is l
 	v = largeSmall.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[ i ], v[ i ] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: ' + x[ i ] + ', v: ' + v[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 10.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. v: ' + v[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 12 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is small and `v` large)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -174,21 +155,13 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is s
 	v = smallLarge.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[ i ], v[ i ] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: ' + x[ i ] + ', v: ' + v[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 40.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. v: ' + v[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 52 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and `v` are large)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -199,13 +172,7 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and
 	v = largeLarge.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[ i ], v[ i ] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: ' + x[ i ] + ', v: ' + v[ i ] + ', y: ' + y + ', expected: ' + expected[ i ] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 40.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. v: ' + v[ i ] + '. y: ' + y + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 57 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.pdf.js b/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.pdf.js
index 8a5cf510d857..0761e7a094df 100644
--- a/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.pdf.js
+++ b/lib/node_modules/@stdlib/stats/base/dists/t/pdf/test/test.pdf.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 pdf = require( './../lib' );
 
 
@@ -103,8 +102,6 @@ tape( 'if provided a nonpositive `v`, the function always returns `NaN`', functi
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and `v` are small)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -115,21 +112,13 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and
 	v = smallSmall.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[i], v[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 10.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 9 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is large and `v` small)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -140,21 +129,13 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is l
 	v = largeSmall.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[i], v[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 10.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 12 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is small and `v` large)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -165,21 +146,13 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` is s
 	v = smallLarge.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[i], v[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 40.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 52 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and `v` are large)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var y;
@@ -190,13 +163,7 @@ tape( 'the function evaluates the pdf for `x` given parameter `v` (when `x` and
 	v = largeLarge.v;
 	for ( i = 0; i < x.length; i++ ) {
 		y = pdf( x[i], v[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+'. v: '+v[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[ i ] );
-			tol = 40.0 * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. v: '+v[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 57 ), true, 'returns expected value' );
 	}
 	t.end();
 });