From 6a7e5a35423f72366588aa822016b2478ab7c90c Mon Sep 17 00:00:00 2001
From: Philipp Burckhardt <pburckhardt@outlook.com>
Date: Wed, 10 Jun 2026 02:17:33 -0500
Subject: [PATCH] test: migrate `math/base/special/rsqrtf` to ULP-based testing

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown_pkg_readmes
    status: na
  - task: lint_markdown_docs
    status: na
  - task: lint_markdown
    status: na
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: na
  - task: lint_javascript_src
    status: na
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: na
  - task: lint_javascript_tests
    status: passed
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: na
  - task: lint_c_examples
    status: na
  - task: lint_c_benchmarks
    status: na
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---
---
 .../math/base/special/rsqrtf/test/test.js     | 100 +++++-------------
 .../base/special/rsqrtf/test/test.native.js   | 100 +++++-------------
 2 files changed, 52 insertions(+), 148 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.js b/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.js
index ab536c6e8d2b..c736b2fdad16 100644
--- a/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.js
@@ -24,8 +24,8 @@ var tape = require( 'tape' );
 var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var PINF = require( '@stdlib/constants/float32/pinf' );
 var NINF = require( '@stdlib/constants/float32/ninf' );
-var EPS = require( '@stdlib/constants/float32/eps' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' );
 var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
 var rsqrtf = require( './../lib' );
 
@@ -52,184 +52,136 @@ tape( 'main export is a function', function test( t ) {
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[50,500]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = veryLargePositive.expected;
 	x = veryLargePositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[20,50]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = largePositive.expected;
 	x = largePositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[3,20]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = mediumPositive.expected;
 	x = mediumPositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[0.8,3]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = smallPositive.expected;
 	x = smallPositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[0.0,0.8]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = smaller.expected;
 	x = smaller.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[1e-300,1e-308]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = tinyPositive.expected;
 	x = tinyPositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of subnormal `x`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = subnormal.expected;
 	x = subnormal.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` (huge positive)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = hugePositive.expected;
 	x = hugePositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.native.js
index 1ac1848a3c9a..651c172e9d3b 100644
--- a/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.native.js
@@ -25,8 +25,8 @@ var tape = require( 'tape' );
 var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
 var PINF = require( '@stdlib/constants/float32/pinf' );
 var NINF = require( '@stdlib/constants/float32/ninf' );
-var EPS = require( '@stdlib/constants/float32/eps' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' );
 var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 
@@ -61,184 +61,136 @@ tape( 'main export is a function', opts, function test( t ) {
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[50,500]`', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = veryLargePositive.expected;
 	x = veryLargePositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[20,50]`', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = largePositive.expected;
 	x = largePositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[3,20]`', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = mediumPositive.expected;
 	x = mediumPositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[0.8,3]`', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = smallPositive.expected;
 	x = smallPositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[0.0,0.8]`', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = smaller.expected;
 	x = smaller.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` on the interval `[1e-300,1e-308]`', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = tinyPositive.expected;
 	x = tinyPositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of subnormal `x`', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = subnormal.expected;
 	x = subnormal.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function evaluates the reciprocal square root of `x` (huge positive)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
+	var e;
 
 	expected = hugePositive.expected;
 	x = hugePositive.x;
 	for ( i = 0; i < x.length; i++ ) {
 		y = rsqrtf( x[i] );
-		if ( y === expected[i] ) {
-			t.strictEqual( y, expected[i], 'x: '+x[i]+', y: '+y+', expected: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = EPS * abs( expected[i] );
-			t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
-		}
+		e = f32( expected[ i ] );
+		t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });