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test: migrate math/base/special/cbrt to ULP-based testing #11839

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Merged
kgryte merged 1 commit into from
Apr 29, 2026
+15 −128
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test: migrate math/base/special/cbrt to ULP-based testing #11839

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143 changes: 15 additions & 128 deletions lib/node_modules/@stdlib/math/base/special/cbrt/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -26,8 +26,7 @@ var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var NINF = require( '@stdlib/constants/float64/ninf' );
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 cbrt = require( './../lib' );


Expand Down Expand Up @@ -59,8 +58,6 @@ tape( 'main export is a function', function test( t ) {

tape( 'the function evaluates the cubic root of `x` on the interval `[-50,-500]', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -69,21 +66,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[-50,-500]'
x = veryLargeNegative.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` on the interval `[50,500]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -92,21 +81,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[50,500]`',
x = veryLargePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` on the interval `[-20,-50]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -115,21 +96,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[-20,-50]`'
x = largeNegative.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` on the interval `[20,50]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -138,21 +111,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[20,50]`',
x = largePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` on the interval `[-20,-3]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -161,21 +126,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[-20,-3]`',
x = mediumNegative.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` on the interval `[3,20]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -184,21 +141,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[3,20]`', f
x = mediumPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` on the interval `[-3,-0.8]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -207,21 +156,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[-3,-0.8]`'
x = smallNegative.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` on the interval `[0.8,3]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -230,21 +171,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[0.8,3]`',
x = smallPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates cubic root of `x` on the interval `[-0.8,0.8]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -253,21 +186,13 @@ tape( 'the function evaluates cubic root of `x` on the interval `[-0.8,0.8]`', f
x = smaller.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic 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;
Expand All @@ -276,21 +201,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[-1e-300,-1
x = tinyNegative.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic 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;
Expand All @@ -299,21 +216,13 @@ tape( 'the function evaluates the cubic root of `x` on the interval `[1e-300,1e-
x = tinyPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of subnormal `x`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -322,21 +231,13 @@ tape( 'the function evaluates the cubic root of subnormal `x`', function test( t
x = subnormal.x;
for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` (huge negative)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -346,21 +247,13 @@ tape( 'the function evaluates the cubic root of `x` (huge negative)', function t

for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the cubic root of `x` (huge positive)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -370,13 +263,7 @@ tape( 'the function evaluates the cubic root of `x` (huge positive)', function t

for ( i = 0; i < x.length; i++ ) {
y = cbrt( 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.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
Expand Down