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test: migrate math/base/special/cinvf to ULP-based assertion #14377

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Merged
kgryte merged 2 commits into from
Aug 19, 2026
+38 −292
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test: migrate math/base/special/cinvf to ULP-based assertion #14377

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9699438
test: migrate `math/base/special/cinvf` to ULP-based assertion
Arjan-P Aug 18, 2026
07ec318
fix: update tolerances
Arjan-P Aug 18, 2026
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165 changes: 19 additions & 146 deletions lib/node_modules/@stdlib/math/base/special/cinvf/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -24,14 +24,13 @@

var tape = require( 'tape' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var absf = require( '@stdlib/math/base/special/absf' );
var EPS = require( '@stdlib/constants/float32/eps' );
var PINF = require( '@stdlib/constants/float32/pinf' );
var NINF = require( '@stdlib/constants/float32/ninf' );
var Complex64 = require( '@stdlib/complex/float32/ctor' );
var realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' );
var cinvf = require( './../lib' );


Expand Down Expand Up @@ -66,10 +65,8 @@ tape( 'the function computes the inverse of a single-precision complex floating-
});

tape( 'the function computes a complex inverse', function test( t ) {
var delta;
var qre;
var qim;
var tol;
var re;
var im;
var i;
Expand All @@ -83,27 +80,13 @@ tape( 'the function computes a complex inverse', function test( t ) {
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = 1.4 * EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = 1.4 * EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 2 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 2 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (large negative imaginary components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -119,27 +102,13 @@ tape( 'the function computes a complex inverse (large negative imaginary compone
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 1 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (large negative real components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -155,27 +124,13 @@ tape( 'the function computes a complex inverse (large negative real components)'
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 1 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (large positive imaginary components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -191,27 +146,13 @@ tape( 'the function computes a complex inverse (large positive imaginary compone
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 1 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (large positive real components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -227,27 +168,13 @@ tape( 'the function computes a complex inverse (large positive real components)'
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 1 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (tiny negative imaginary components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -263,27 +190,13 @@ tape( 'the function computes a complex inverse (tiny negative imaginary componen
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = 1.5 * EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 1 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 2 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (tiny negative real components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -299,27 +212,13 @@ tape( 'the function computes a complex inverse (tiny negative real components)',
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = 1.5 * EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 2 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (tiny positive imaginary components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -335,27 +234,13 @@ tape( 'the function computes a complex inverse (tiny positive imaginary componen
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = 1.3 * EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 1 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 2 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes a complex inverse (tiny positive real components)', function test( t ) {
var delta;
var tol;
var qre;
var qim;
var re;
Expand All @@ -371,20 +256,8 @@ tape( 'the function computes a complex inverse (tiny positive real components)',
for ( i = 0; i < re.length; i++ ) {
q = cinvf( new Complex64( re[ i ], im[ i ] ) );

if ( realf( q ) === qre[ i ] ) {
t.strictEqual( realf( q ), qre[ i ], 'returns expected real component' );
} else {
delta = absf( realf( q ) - qre[ i ] );
tol = 1.6 * EPS * absf( qre[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. real: '+realf( q )+'. expected: '+qre[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
if ( imagf( q ) === qim[ i ] ) {
t.strictEqual( imagf( q ), qim[ i ], 'returns expected imaginary component' );
} else {
delta = absf( imagf( q ) - qim[ i ] );
tol = EPS * absf( qim[ i ] );
t.ok( delta <= tol, 'within tolerance. x: '+re[i]+'+ '+im[i]+'i. imag: '+imagf( q )+'. expected: '+qim[i]+'. delta: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( realf( q ), qre[ i ], 2 ), true, 'returns expected value' );
t.strictEqual( isAlmostSameValue( imagf( q ), qim[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
Expand Down
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