test: migrate blas/base/zaxpy to ULP-based assertions

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' );
 	}
 }
 
@@ -131,7 +122,7 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 24 );
 	t.end();
 });
 
@@ -195,7 +186,7 @@ tape( 'the function supports an `x` stride', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 8 );
 	t.end();
 });
 
@@ -259,7 +250,7 @@ tape( 'the function supports an `x` offset', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 11 );
 	t.end();
 });
 
@@ -323,7 +314,7 @@ tape( 'the function supports a `y` stride', function test( t ) {
 		0.32,  // 4
 		-1.16  // 4
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 6 );
 	t.end();
 });
 
@@ -387,7 +378,7 @@ tape( 'the function supports a `y` offset', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 1 );
 	t.end();
 });
 
@@ -513,7 +504,7 @@ tape( 'the function supports a negative `x` stride', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 24 );
 	t.end();
 });
 
@@ -577,7 +568,7 @@ tape( 'the function supports a negative `y` stride', function test( t ) {
 		0.52,  // 1
 		-1.51  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 8 );
 	t.end();
 });
 
@@ -641,6 +632,6 @@ tape( 'the function supports complex access patterns', function test( t ) {
 		0.32,  // 1
 		-1.16  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 6 );
 	t.end();
 });

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' );
 	}
 }
 
@@ -140,7 +131,7 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 24 );
 	t.end();
 });
 
@@ -204,7 +195,7 @@ tape( 'if dcabs1( alpha ) === 0.0; the function returns the second input array u
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 0 );
 	t.end();
 });
 
@@ -268,7 +259,7 @@ tape( 'the function supports an `x` stride', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 8 );
 	t.end();
 });
 
@@ -332,7 +323,7 @@ tape( 'the function supports an `x` offset', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 11 );
 	t.end();
 });
 
@@ -396,7 +387,7 @@ tape( 'the function supports a `y` stride', opts, function test( t ) {
 		0.32,  // 4
 		-1.16  // 4
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 6 );
 	t.end();
 });
 
@@ -460,7 +451,7 @@ tape( 'the function supports a `y` offset', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 1 );
 	t.end();
 });
 
@@ -563,7 +554,7 @@ tape( 'the function supports a negative `x` stride', opts, function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 24 );
 	t.end();
 });
 
@@ -627,7 +618,7 @@ tape( 'the function supports a negative `y` stride', opts, function test( t ) {
 		0.52,  // 1
 		-1.51  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 8 );
 	t.end();
 });
 
@@ -691,6 +682,6 @@ tape( 'the function supports complex access patterns', opts, function test( t )
 		0.32,  // 1
 		-1.16  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 6 );
 	t.end();
 });

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' );
 	}
 }
 
@@ -131,7 +122,7 @@ tape( 'the function scales elements from `x` by `alpha` and adds the result to `
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 24 );
 	t.end();
 });
 
@@ -195,7 +186,7 @@ tape( 'the function supports an `x` stride', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 8 );
 	t.end();
 });
 
@@ -259,7 +250,7 @@ tape( 'the function supports a `y` stride', function test( t ) {
 		0.32,  // 4
 		-1.16  // 4
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 6 );
 	t.end();
 });
 
@@ -385,7 +376,7 @@ tape( 'the function supports negative `x` strides', function test( t ) {
 		0.8,
 		-0.7
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 24 );
 	t.end();
 });
 
@@ -449,7 +440,7 @@ tape( 'the function supports negative `y` strides', function test( t ) {
 		0.52,  // 1
 		-1.51  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 8 );
 	t.end();
 });
 
@@ -513,7 +504,7 @@ tape( 'the function supports complex access patterns', function test( t ) {
 		0.32,  // 1
 		-1.16  // 1
 	]);
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 6 );
 	t.end();
 });
 
@@ -579,6 +570,6 @@ tape( 'the function supports view offsets', function test( t ) {
 		-0.96  // 4
 	]);
 
-	isApprox( t, viewY, expected, 14.0 );
+	isApprox( t, viewY, expected, 24 );
 	t.end();
 });