From 696ecbff72ba89c76ef92aaf65070b79a97df098 Mon Sep 17 00:00:00 2001
From: MANDEep22332 <missiongamer15@gmail.com>
Date: Mon, 20 Apr 2026 09:49:52 +0000
Subject: [PATCH] ULP based Testing in the atan

---
 .../math/base/special/atan/test/test.js       | 133 ++----------------
 1 file changed, 14 insertions(+), 119 deletions(-)

diff --git a/lib/node_modules/@stdlib/math/base/special/atan/test/test.js b/lib/node_modules/@stdlib/math/base/special/atan/test/test.js
index 795fef3a96a9..98522fe9e5d4 100644
--- a/lib/node_modules/@stdlib/math/base/special/atan/test/test.js
+++ b/lib/node_modules/@stdlib/math/base/special/atan/test/test.js
@@ -22,8 +22,7 @@
 
 var tape = require( 'tape' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
-var abs = require( '@stdlib/math/base/special/abs' );
-var EPS = require( '@stdlib/constants/float64/eps' );
+var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
 var PINF = require( '@stdlib/constants/float64/pinf' );
 var NINF = require( '@stdlib/constants/float64/ninf' );
 var PI = require( '@stdlib/constants/float64/pi' );
@@ -59,8 +58,6 @@ tape( 'main export is a function', function test( t ) {
 
 tape( 'the function computes the arctangent on the interval `[-1e-308,-1e-300]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -70,21 +67,13 @@ tape( 'the function computes the arctangent on the interval `[-1e-308,-1e-300]`'
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[1e-300,1e-308]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -94,21 +83,13 @@ tape( 'the function computes the arctangent on the interval `[1e-300,1e-308]`',
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[-0.8,0.8]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -118,21 +99,13 @@ tape( 'the function computes the arctangent on the interval `[-0.8,0.8]`', funct
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[-1.0,-0.8]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -142,21 +115,13 @@ tape( 'the function computes the arctangent on the interval `[-1.0,-0.8]`', func
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[0.8,1.0]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -166,21 +131,13 @@ tape( 'the function computes the arctangent on the interval `[0.8,1.0]`', functi
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[-3.0,-1.0]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -190,21 +147,13 @@ tape( 'the function computes the arctangent on the interval `[-3.0,-1.0]`', func
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[1.0,3.0]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -214,21 +163,13 @@ tape( 'the function computes the arctangent on the interval `[1.0,3.0]`', functi
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[3.0,100.0]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -238,21 +179,13 @@ tape( 'the function computes the arctangent on the interval `[3.0,100.0]`', func
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[-100.0,-3.0]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -262,21 +195,13 @@ tape( 'the function computes the arctangent on the interval `[-100.0,-3.0]`', fu
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[100.0,1000.0]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -286,21 +211,13 @@ tape( 'the function computes the arctangent on the interval `[100.0,1000.0]`', f
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[-1000.0,-100.0]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -310,21 +227,13 @@ tape( 'the function computes the arctangent on the interval `[-1000.0,-100.0]`',
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[-1e200,-1e208]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -334,21 +243,13 @@ tape( 'the function computes the arctangent on the interval `[-1e200,-1e208]`',
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });
 
 tape( 'the function computes the arctangent on the interval `[1e300,1e308]`', function test( t ) {
 	var expected;
-	var delta;
-	var tol;
 	var x;
 	var y;
 	var i;
@@ -358,13 +259,7 @@ tape( 'the function computes the arctangent on the interval `[1e300,1e308]`', fu
 
 	for ( i = 0; i < x.length; i++ ) {
 		y = atan( x[i] );
-		if ( y === expected[ i ] ) {
-			t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
-		} else {
-			delta = abs( y - expected[i] );
-			tol = 1.0 * EPS * abs( expected[i] );
-			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
-		}
+		t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
 	}
 	t.end();
 });