From 927c5018183d4f6418e7ccfe279ce6bde0c8669c Mon Sep 17 00:00:00 2001
From: Ujjwal Verma <ujjwalverma010305@gmail.com>
Date: Mon, 27 Jul 2026 15:52:55 +0530
Subject: [PATCH] test: migrate math/base/special/sqrt1pm1 to ULP-based testing

---
 .../math/base/special/sqrt1pm1/test/test.js       | 15 +++------------
 .../base/special/sqrt1pm1/test/test.native.js     | 15 +++------------
 2 files changed, 6 insertions(+), 24 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.js b/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.js
index 150464b52118..6e6abf6a570f 100644
--- a/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.js
@@ -22,9 +22,8 @@
 
 var tape = require( 'tape' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
-var EPS = require( '@stdlib/constants/float64/eps' );
 var sqrt1pm1 = require( './../lib' );
 
 
@@ -78,8 +77,6 @@ tape( 'the function returns `NaN` if provided a `x < -1`', function test( t ) {
 
 tape( 'the function handles large `x` values (|x| > 0.75)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var i;
@@ -89,17 +86,13 @@ tape( 'the function handles large `x` values (|x| > 0.75)', function test( t ) {
 
 	for ( i = 0; i < x.length; i++ ) {
 		v = sqrt1pm1( x[ i ] );
-		delta = abs( v - expected[ i ] );
-		tol = 1.0 * EPS * abs( expected[ i ] );
-		t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. Value: ' + v + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function handles small `x` values (|x| <= 0.75)', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var i;
@@ -109,9 +102,7 @@ tape( 'the function handles small `x` values (|x| <= 0.75)', function test( t )
 
 	for ( i = 0; i < x.length; i++ ) {
 		v = sqrt1pm1( x[ i ] );
-		delta = abs( v - expected[ i ] );
-		tol = 390.0 * EPS * abs( expected[ i ] );
-		t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. Value: ' + v + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
diff --git a/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.native.js
index 1115557a3f47..06f554dc4030 100644
--- a/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.native.js
+++ b/lib/node_modules/@stdlib/math/base/special/sqrt1pm1/test/test.native.js
@@ -23,10 +23,9 @@
 var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var abs = require( '@stdlib/math/base/special/abs' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var tryRequire = require( '@stdlib/utils/try-require' );
-var EPS = require( '@stdlib/constants/float64/eps' );
 
 
 // FIXTURES //
@@ -87,8 +86,6 @@ tape( 'the function returns `NaN` if provided a `x < -1`', opts, function test(
 
 tape( 'the function handles large `x` values (|x| > 0.75)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var i;
@@ -98,17 +95,13 @@ tape( 'the function handles large `x` values (|x| > 0.75)', opts, function test(
 
 	for ( i = 0; i < x.length; i++ ) {
 		v = sqrt1pm1( x[ i ] );
-		delta = abs( v - expected[ i ] );
-		tol = 1.0 * EPS * abs( expected[ i ] );
-		t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. Value: ' + v + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function handles small `x` values (|x| <= 0.75)', opts, function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var v;
 	var i;
@@ -118,9 +111,7 @@ tape( 'the function handles small `x` values (|x| <= 0.75)', opts, function test
 
 	for ( i = 0; i < x.length; i++ ) {
 		v = sqrt1pm1( x[ i ] );
-		delta = abs( v - expected[ i ] );
-		tol = 390.0 * EPS * abs( expected[ i ] );
-		t.ok( delta <= tol, 'within tolerance. x: ' + x[ i ] + '. Value: ' + v + '. E: ' + expected[ i ] + '. Δ: ' + delta + '. tol: ' + tol + '.' );
+		t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });