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test: migrate math/base/special/bessely1 to ULP-based assertions #14344

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Merged
kgryte merged 1 commit into from
Aug 17, 2026
Merged

test: migrate math/base/special/bessely1 to ULP-based assertions #14344

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82 changes: 9 additions & 73 deletions lib/node_modules/@stdlib/math/base/special/bessely1/test/test.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -21,12 +21,12 @@
// MODULES //

var tape = require( 'tape' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var randu = require( '@stdlib/random/base/randu' );
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 y1 = require( './../lib' );


Expand All @@ -53,8 +53,6 @@ tape( 'main export is a function', function test( t ) {

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (very large positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -63,21 +61,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = veryLargePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 300.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 254 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (large positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -86,21 +76,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = largePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 600.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 689 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (medium positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -109,21 +91,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = mediumPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 300.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 395 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (small positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -132,21 +106,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = smallPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 1800.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 2338 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates Bessel function of the second kind of one order (Y_1) (smaller positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -155,21 +121,13 @@ tape( 'the function evaluates Bessel function of the second kind of one order (Y
x = smaller.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 4.5 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 5 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (tiny positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -178,13 +136,7 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = tinyPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 8.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
Expand All @@ -204,8 +156,6 @@ tape( 'The Bessel function of the second kind of one order (Y_1) (subnormal valu

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (huge positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -214,21 +164,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = hugePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 4500.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1200 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of order one (Y_1) for positive x over a wide range of magnitudes', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -237,13 +179,7 @@ tape( 'the function evaluates the Bessel function of the second kind of order on
x = positiveGamut.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 16.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 27 ), true, 'returns expected value' );
}
t.end();
});
Expand Down
82 changes: 9 additions & 73 deletions lib/node_modules/@stdlib/math/base/special/bessely1/test/test.native.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -22,12 +22,12 @@

var resolve = require( 'path' ).resolve;
var tape = require( 'tape' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var randu = require( '@stdlib/random/base/randu' );
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 tryRequire = require( '@stdlib/utils/try-require' );


Expand Down Expand Up @@ -62,8 +62,6 @@ tape( 'main export is a function', opts, function test( t ) {

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (very large positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -72,21 +70,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = veryLargePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 300.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 254 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (large positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -95,21 +85,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = largePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 600.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 689 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (medium positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -118,21 +100,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = mediumPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 300.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 395 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (small positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -141,21 +115,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = smallPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 1800.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 2338 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates Bessel function of the second kind of one order (Y_1) (smaller positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -164,21 +130,13 @@ tape( 'the function evaluates Bessel function of the second kind of one order (Y
x = smaller.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 4.5 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 5 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (tiny positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -187,13 +145,7 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = tinyPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 8.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
Expand All @@ -213,8 +165,6 @@ tape( 'The Bessel function of the second kind of one order (Y_1) (subnormal valu

tape( 'the function evaluates the Bessel function of the second kind of one order (Y_1) (huge positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -223,21 +173,13 @@ tape( 'the function evaluates the Bessel function of the second kind of one orde
x = hugePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 4500.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. Tolerance: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1200 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the second kind of order one (Y_1) for positive x over a wide range of magnitudes', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -246,13 +188,7 @@ tape( 'the function evaluates the Bessel function of the second kind of order on
x = positiveGamut.x;
for ( i = 0; i < x.length; i++ ) {
y = y1( 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 = 16.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 27 ), true, 'returns expected value' );
}
t.end();
});
Expand Down