From 62b2acde95a6198a5c9ef4cb206e335b3e7a8727 Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Tue, 22 Sep 2026 21:31:19 +0000
Subject: [PATCH] test: migrate `blas/base/zaxpy` to ULP-based assertions

Resolves a part of #11352.

Migrates the tests for blas/base/zaxpy from computed relative-tolerance
comparisons (delta = abs(actual[i] - expected[i]) / tol = rtol * EPS *
abs(expected[i]), asserted via t.ok(delta <= tol, ...)) to ULP-difference
assertions using @stdlib/assert/is-almost-same-value, mirroring the
established idiom in blas/base/drot: the shared isApprox(t, actual,
expected, ulp) helper collapses to a single isAlmostSameValue assertion,
and each test body declares a single named ULP constant sized to the
minimum integer bound that passes for that test.

Applies to all four test files (test.zaxpy.js, test.ndarray.js, and their
.native.js counterparts, including the native-only "dcabs1(alpha) === 0.0"
test in test.ndarray.native.js). ULP bounds were determined by measuring
the exact per-element ULP distance for every fixture via
@stdlib/number/float64/base/ulp-difference, run directly against the
implementation.

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01PLAefATEDhsbjEiq9xEYN4
---
 .../blas/base/zaxpy/test/test.ndarray.js      | 49 +++++++++--------
 .../base/zaxpy/test/test.ndarray.native.js    | 53 +++++++++++--------
 .../blas/base/zaxpy/test/test.zaxpy.js        | 45 +++++++++-------
 .../blas/base/zaxpy/test/test.zaxpy.native.js | 45 +++++++++-------
 4 files changed, 109 insertions(+), 83 deletions(-)

diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.js b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.js
index bc313d9c0b05..d02e3deaea3c 100644
--- a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.js
+++ b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.js
@@ -24,8 +24,7 @@ var tape = require( 'tape' );
 var Float64Array = require( '@stdlib/array/float64' );
 var Complex128Array = require( '@stdlib/array/complex128' );
 var Complex128 = require( '@stdlib/complex/float64/ctor' );
-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 zaxpy = require( './../lib/ndarray.js' );
 
 
@@ -38,22 +37,14 @@ var zaxpy = require( './../lib/ndarray.js' );
 * @param {Object} t - test object
 * @param {Collection} actual - actual values
 * @param {Collection} expected - expected values
-* @param {number} rtol - relative tolerance
+* @param {NonNegativeInteger} ulp - maximum allowed ULP difference
 */
-function isApprox( t, actual, expected, rtol ) {
-	var delta;
-	var tol;
+function isApprox( t, actual, expected, ulp ) {
 	var i;
 
 	t.strictEqual( actual.length, expected.length, 'returns expected value' );
 	for ( i = 0; i < expected.length; i++ ) {
-		if ( actual[ i ] === expected[ i ] ) {
-			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
-		} else {
-			delta = abs( actual[ i ] - expected[ i ] );
-			tol = rtol * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( actual[ i ], expected[ i ], ulp ), true, 'returns expected value' );
 	}
 }
 
@@ -75,6 +66,7 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -131,7 +123,8 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -139,6 +132,7 @@ tape( 'the function supports an `x` stride', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -195,7 +189,8 @@ tape( 'the function supports an `x` stride', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -203,6 +198,7 @@ tape( 'the function supports an `x` offset', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -259,7 +255,8 @@ tape( 'the function supports an `x` offset', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 11;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -267,6 +264,7 @@ tape( 'the function supports a `y` stride', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -323,7 +321,8 @@ tape( 'the function supports a `y` stride', function test( t ) {
 		0.32,  // 4
 		-1.16  // 4
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -331,6 +330,7 @@ tape( 'the function supports a `y` offset', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -387,7 +387,8 @@ tape( 'the function supports a `y` offset', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 1;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -457,6 +458,7 @@ tape( 'the function supports a negative `x` stride', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -513,7 +515,8 @@ tape( 'the function supports a negative `x` stride', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -521,6 +524,7 @@ tape( 'the function supports a negative `y` stride', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -577,7 +581,8 @@ tape( 'the function supports a negative `y` stride', function test( t ) {
 		0.52,  // 1
 		-1.51  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -585,6 +590,7 @@ tape( 'the function supports complex access patterns', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -641,6 +647,7 @@ tape( 'the function supports complex access patterns', function test( t ) {
 		0.32,  // 1
 		-1.16  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.native.js b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.native.js
index c0951fb971ad..72c3ae68d167 100644
--- a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.native.js
+++ b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.ndarray.native.js
@@ -25,8 +25,7 @@ var tape = require( 'tape' );
 var Float64Array = require( '@stdlib/array/float64' );
 var Complex128Array = require( '@stdlib/array/complex128' );
 var Complex128 = require( '@stdlib/complex/float64/ctor' );
-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 tryRequire = require( '@stdlib/utils/try-require' );
 
 
@@ -47,22 +46,14 @@ var opts = {
 * @param {Object} t - test object
 * @param {Collection} actual - actual values
 * @param {Collection} expected - expected values
-* @param {number} rtol - relative tolerance
+* @param {NonNegativeInteger} ulp - maximum allowed ULP difference
 */
-function isApprox( t, actual, expected, rtol ) {
-	var delta;
-	var tol;
+function isApprox( t, actual, expected, ulp ) {
 	var i;
 
 	t.strictEqual( actual.length, expected.length, 'returns expected value' );
 	for ( i = 0; i < expected.length; i++ ) {
-		if ( actual[ i ] === expected[ i ] ) {
-			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
-		} else {
-			delta = abs( actual[ i ] - expected[ i ] );
-			tol = rtol * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( actual[ i ], expected[ i ], ulp ), true, 'returns expected value' );
 	}
 }
 
@@ -84,6 +75,7 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -140,7 +132,8 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -148,6 +141,7 @@ tape( 'if dcabs1( alpha ) === 0.0; the function returns the second input array u
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -204,7 +198,8 @@ tape( 'if dcabs1( alpha ) === 0.0; the function returns the second input array u
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 0;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -212,6 +207,7 @@ tape( 'the function supports an `x` stride', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -268,7 +264,8 @@ tape( 'the function supports an `x` stride', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -276,6 +273,7 @@ tape( 'the function supports an `x` offset', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -332,7 +330,8 @@ tape( 'the function supports an `x` offset', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 11;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -340,6 +339,7 @@ tape( 'the function supports a `y` stride', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -396,7 +396,8 @@ tape( 'the function supports a `y` stride', opts, function test( t ) {
 		0.32,  // 4
 		-1.16  // 4
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -404,6 +405,7 @@ tape( 'the function supports a `y` offset', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -460,7 +462,8 @@ tape( 'the function supports a `y` offset', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 1;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -507,6 +510,7 @@ tape( 'the function supports a negative `x` stride', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -563,7 +567,8 @@ tape( 'the function supports a negative `x` stride', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -571,6 +576,7 @@ tape( 'the function supports a negative `y` stride', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -627,7 +633,8 @@ tape( 'the function supports a negative `y` stride', opts, function test( t ) {
 		0.52,  // 1
 		-1.51  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -635,6 +642,7 @@ tape( 'the function supports complex access patterns', opts, function test( t )
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -691,6 +699,7 @@ tape( 'the function supports complex access patterns', opts, function test( t )
 		0.32,  // 1
 		-1.16  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.js b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.js
index c02ccd798e51..4a3c390ee675 100644
--- a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.js
+++ b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.js
@@ -24,8 +24,7 @@ var tape = require( 'tape' );
 var Float64Array = require( '@stdlib/array/float64' );
 var Complex128Array = require( '@stdlib/array/complex128' );
 var Complex128 = require( '@stdlib/complex/float64/ctor' );
-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 zaxpy = require( './../lib/zaxpy.js' );
 
 
@@ -38,22 +37,14 @@ var zaxpy = require( './../lib/zaxpy.js' );
 * @param {Object} t - test object
 * @param {Collection} actual - actual values
 * @param {Collection} expected - expected values
-* @param {number} rtol - relative tolerance
+* @param {NonNegativeInteger} ulp - maximum allowed ULP difference
 */
-function isApprox( t, actual, expected, rtol ) {
-	var delta;
-	var tol;
+function isApprox( t, actual, expected, ulp ) {
 	var i;
 
 	t.strictEqual( actual.length, expected.length, 'returns expected value' );
 	for ( i = 0; i < expected.length; i++ ) {
-		if ( actual[ i ] === expected[ i ] ) {
-			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
-		} else {
-			delta = abs( actual[ i ] - expected[ i ] );
-			tol = rtol * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( actual[ i ], expected[ i ], ulp ), true, 'returns expected value' );
 	}
 }
 
@@ -75,6 +66,7 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -131,7 +123,8 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -139,6 +132,7 @@ tape( 'the function supports an `x` stride', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -195,7 +189,8 @@ tape( 'the function supports an `x` stride', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -203,6 +198,7 @@ tape( 'the function supports a `y` stride', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -259,7 +255,8 @@ tape( 'the function supports a `y` stride', function test( t ) {
 		0.32,  // 4
 		-1.16  // 4
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -329,6 +326,7 @@ tape( 'the function supports negative `x` strides', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -385,7 +383,8 @@ tape( 'the function supports negative `x` strides', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -393,6 +392,7 @@ tape( 'the function supports negative `y` strides', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -449,7 +449,8 @@ tape( 'the function supports negative `y` strides', function test( t ) {
 		0.52,  // 1
 		-1.51  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -457,6 +458,7 @@ tape( 'the function supports complex access patterns', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -513,7 +515,8 @@ tape( 'the function supports complex access patterns', function test( t ) {
 		0.32,  // 1
 		-1.16  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -521,6 +524,7 @@ tape( 'the function supports view offsets', function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x0;
 	var y0;
 	var x1;
@@ -579,6 +583,7 @@ tape( 'the function supports view offsets', function test( t ) {
 		-0.96  // 4
 	]);
 
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.native.js b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.native.js
index d3e7808edfb8..b4749c09c50d 100644
--- a/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.native.js
+++ b/lib/node_modules/@stdlib/blas/base/zaxpy/test/test.zaxpy.native.js
@@ -25,8 +25,7 @@ var tape = require( 'tape' );
 var Float64Array = require( '@stdlib/array/float64' );
 var Complex128Array = require( '@stdlib/array/complex128' );
 var Complex128 = require( '@stdlib/complex/float64/ctor' );
-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 tryRequire = require( '@stdlib/utils/try-require' );
 
 
@@ -47,22 +46,14 @@ var opts = {
 * @param {Object} t - test object
 * @param {Collection} actual - actual values
 * @param {Collection} expected - expected values
-* @param {number} rtol - relative tolerance
+* @param {NonNegativeInteger} ulp - maximum allowed ULP difference
 */
-function isApprox( t, actual, expected, rtol ) {
-	var delta;
-	var tol;
+function isApprox( t, actual, expected, ulp ) {
 	var i;
 
 	t.strictEqual( actual.length, expected.length, 'returns expected value' );
 	for ( i = 0; i < expected.length; i++ ) {
-		if ( actual[ i ] === expected[ i ] ) {
-			t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
-		} else {
-			delta = abs( actual[ i ] - expected[ i ] );
-			tol = rtol * EPS * abs( expected[ i ] );
-			t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( actual[ i ], expected[ i ], ulp ), true, 'returns expected value' );
 	}
 }
 
@@ -84,6 +75,7 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -140,7 +132,8 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -148,6 +141,7 @@ tape( 'the function supports an `x` stride', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -204,7 +198,8 @@ tape( 'the function supports an `x` stride', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -212,6 +207,7 @@ tape( 'the function supports a `y` stride', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -268,7 +264,8 @@ tape( 'the function supports a `y` stride', opts, function test( t ) {
 		0.32,  // 4
 		-1.16  // 4
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -338,6 +335,7 @@ tape( 'the function supports negative `x` strides', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -394,7 +392,8 @@ tape( 'the function supports negative `x` strides', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -402,6 +401,7 @@ tape( 'the function supports negative `y` strides', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -458,7 +458,8 @@ tape( 'the function supports negative `y` strides', opts, function test( t ) {
 		0.52,  // 1
 		-1.51  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 8;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -466,6 +467,7 @@ tape( 'the function supports complex access patterns', opts, function test( t )
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x;
 	var y;
 
@@ -522,7 +524,8 @@ tape( 'the function supports complex access patterns', opts, function test( t )
 		0.32,  // 1
 		-1.16  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 6;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });
 
@@ -530,6 +533,7 @@ tape( 'the function supports view offsets', opts, function test( t ) {
 	var expected;
 	var viewY;
 	var alpha;
+	var ULP;
 	var x0;
 	var y0;
 	var x1;
@@ -588,6 +592,7 @@ tape( 'the function supports view offsets', opts, function test( t ) {
 		-0.96  // 4
 	]);
 
-	isApprox( t, viewY, expected, 14.0 );
+	ULP = 24;
+	isApprox( t, viewY, expected, ULP );
 	t.end();
 });