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test: migrate math/base/special/pow to ULP-based testing #12803

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89 changes: 21 additions & 68 deletions lib/node_modules/@stdlib/math/base/special/pow/test/test.native.js
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Original file line number Diff line number Diff line change
Expand Up @@ -33,6 +33,7 @@ var MAX_SAFE_INTEGER = require( '@stdlib/constants/float64/max-safe-integer' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var tryRequire = require( '@stdlib/utils/try-require' );


Expand Down Expand Up @@ -221,8 +222,6 @@ tape( 'the function evaluates the exponential function (`x ~ 1`, `y` large)', op
tape( 'the function evaluates the exponential function (`x ~ 1`, `y` huge)', opts, function test( t ) {
var expected;
var actual;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -232,14 +231,9 @@ tape( 'the function evaluates the exponential function (`x ~ 1`, `y` huge)', opt
expected = baseNearUnityHuge.expected;
for ( i = 0; i < x.length; i++ ) {
actual = pow( x[i], y[i] );
if ( actual === expected[i] ) {
t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] );
} else {
// NOTE: the results may differ slightly from the reference and JavaScript implementations due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
delta = abs( actual - expected[i] );
tol = EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. pow('+x[i]+','+y[i]+'). Expected: '+expected[i]+'. Actual: '+actual+'. Delta: '+delta+'. Tol: '+tol+'.' );
}

// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
t.strictEqual( isAlmostSameValue( actual, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
Expand Down Expand Up @@ -420,8 +414,6 @@ tape( 'the function evaluates the exponential function (near underflow)', opts,
tape( 'the function evaluates the exponential function (small `x`, large `y`)', opts, function test( t ) {
var expected;
var actual;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -433,13 +425,9 @@ tape( 'the function evaluates the exponential function (small `x`, large `y`)',
actual = pow( x[i], y[i] );
if ( expected[i] === 5.0e-324 ) {
t.strictEqual( actual === expected[i] || actual === 0.0, true, 'pow('+x[i]+','+y[i]+') returns 5e-324 or 0' );
} else if ( actual === expected[i] ) {
t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] );
} else {
// NOTE: the results may differ slightly from the reference and JavaScript implementations due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
delta = abs( actual - expected[i] );
tol = EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. pow('+x[i]+','+y[i]+'). Expected: '+expected[i]+'. Actual: '+actual+'. Delta: '+delta+'. Tol: '+tol+'.' );
// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
t.strictEqual( isAlmostSameValue( actual, expected[ i ], 1 ), true, 'returns expected value' );
}
}
t.end();
Expand All @@ -465,8 +453,6 @@ tape( 'the function evaluates the exponential function (large `x`, small `y`)',
tape( 'the function evaluates the exponential function (small `x`, small `y`)', opts, function test( t ) {
var expected;
var actual;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -476,23 +462,16 @@ tape( 'the function evaluates the exponential function (small `x`, small `y`)',
expected = smallSmall.expected;
for ( i = 0; i < x.length; i++ ) {
actual = pow( x[i], y[i] );
if ( actual === expected[i] ) {
t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] );
} else {
// NOTE: the results may differ slightly from the reference and JavaScript implementations due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
delta = abs( actual - expected[i] );
tol = EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. pow('+x[i]+','+y[i]+'). Expected: '+expected[i]+'. Actual: '+actual+'. Delta: '+delta+'. Tol: '+tol+'.' );
}

// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
t.strictEqual( isAlmostSameValue( actual, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the exponential function (decimal `x`, decimal `y`)', opts, function test( t ) {
var expected;
var actual;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -502,23 +481,16 @@ tape( 'the function evaluates the exponential function (decimal `x`, decimal `y`
expected = decimalDecimal.expected;
for ( i = 0; i < x.length; i++ ) {
actual = pow( x[i], y[i] );
if ( actual === expected[i] ) {
t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] );
} else {
// NOTE: the results may differ slightly from the reference and JavaScript implementations due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
delta = abs( actual - expected[i] );
tol = EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. pow('+x[i]+','+y[i]+'). Expected: '+expected[i]+'. Actual: '+actual+'. Delta: '+delta+'. Tol: '+tol+'.' );
}

// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
t.strictEqual( isAlmostSameValue( actual, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the exponential function (decimal `x`, integer `y`)', opts, function test( t ) {
var expected;
var actual;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -528,23 +500,16 @@ tape( 'the function evaluates the exponential function (decimal `x`, integer `y`
expected = decimalInteger.expected;
for ( i = 0; i < x.length; i++ ) {
actual = pow( x[i], y[i] );
if ( actual === expected[i] ) {
t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] );
} else {
// NOTE: the results may differ slightly from the reference and JavaScript implementations due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
delta = abs( actual - expected[i] );
tol = EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. pow('+x[i]+','+y[i]+'). Expected: '+expected[i]+'. Actual: '+actual+'. Delta: '+delta+'. Tol: '+tol+'.' );
}

// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
t.strictEqual( isAlmostSameValue( actual, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the exponential function (integer `x`, decimal `y`)', opts, function test( t ) {
var expected;
var actual;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -554,23 +519,16 @@ tape( 'the function evaluates the exponential function (integer `x`, decimal `y`
expected = integerDecimal.expected;
for ( i = 0; i < x.length; i++ ) {
actual = pow( x[i], y[i] );
if ( actual === expected[i] ) {
t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] );
} else {
// NOTE: the results may differ slightly from the reference and JavaScript implementations due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
delta = abs( actual - expected[i] );
tol = EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. pow('+x[i]+','+y[i]+'). Expected: '+expected[i]+'. Actual: '+actual+'. Delta: '+delta+'. Tol: '+tol+'.' );
}

// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
t.strictEqual( isAlmostSameValue( actual, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the exponential function (integer `x`, integer `y`)', opts, function test( t ) {
var expected;
var actual;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -580,14 +538,9 @@ tape( 'the function evaluates the exponential function (integer `x`, integer `y`
expected = integerInteger.expected;
for ( i = 0; i < x.length; i++ ) {
actual = pow( x[i], y[i] );
if ( actual === expected[i] ) {
t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] );
} else {
// NOTE: the results may differ slightly from the reference and JavaScript implementations due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
delta = abs( actual - expected[i] );
tol = EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. pow('+x[i]+','+y[i]+'). Expected: '+expected[i]+'. Actual: '+actual+'. Delta: '+delta+'. Tol: '+tol+'.' );
}

// NOTE: the tolerance here is larger than for the JavaScript implementation due to compiler optimizations which may be performed resulting in result divergence. For discussion, see https://github.com/stdlib-js/stdlib/pull/2298#discussion_r1624765205
t.strictEqual( isAlmostSameValue( actual, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
Expand Down
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