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test: migrate math/base/special/besselj1 to ULP-based testing #13991

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Merged
kgryte merged 1 commit into from
Aug 7, 2026
+24 −202
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test: migrate math/base/special/besselj1 to ULP-based testing #13991

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113 changes: 12 additions & 101 deletions lib/node_modules/@stdlib/math/base/special/besselj1/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -25,8 +25,7 @@ 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 isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var j1 = require( './../lib' );


Expand Down Expand Up @@ -55,8 +54,6 @@ tape( 'main export is a function', function test( t ) {

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (very large positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -65,21 +62,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = veryLargePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 ], 885 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (large positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -88,21 +77,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = largePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 ], 302 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (medium positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -111,21 +92,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = mediumPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 2600.0 * 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 ], 2870 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (small positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -134,21 +107,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = smallPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 5.0 * 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 ], 8 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (small negative values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -157,21 +122,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = smallNegative.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 5.0 * 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 ], 8 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates Bessel function of the first kind of order one (J_1) (smaller positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -180,21 +137,13 @@ tape( 'the function evaluates Bessel function of the first kind of order one (J_
x = smaller.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 3.0 * 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 ], 5 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (tiny positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -203,21 +152,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = tinyPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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.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();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (subnormal values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -226,21 +167,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = subnormal.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 5.0e-324;
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();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) (huge positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -249,21 +182,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = hugePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 3000.0 * 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 ], 4054 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_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 @@ -272,21 +197,13 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = positiveGamut.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 18.0 * 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 ], 31 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the Bessel function of the first kind of order one (J_1) for negative x over a wide range of magnitudes', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -295,13 +212,7 @@ tape( 'the function evaluates the Bessel function of the first kind of order one
x = negativeGamut.x;
for ( i = 0; i < x.length; i++ ) {
y = j1( 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 = 18.0 * 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 ], 31 ), true, 'returns expected value' );
}
t.end();
});
Expand Down
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