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test: migrate math/base/special/gamma-delta-ratio to ulp based testing #11565

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Merged
kgryte merged 1 commit into from
Apr 19, 2026
Merged

test: migrate math/base/special/gamma-delta-ratio to ulp based testing #11565

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2 changes: 1 addition & 1 deletion lib/node_modules/@stdlib/math/base/special/gamma-delta-ratio/test/fixtures/cpp/decimals.json
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2 changes: 1 addition & 1 deletion ...ules/@stdlib/math/base/special/gamma-delta-ratio/test/fixtures/cpp/decimals_integers.json
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2 changes: 1 addition & 1 deletion ...modules/@stdlib/math/base/special/gamma-delta-ratio/test/fixtures/cpp/large_integers.json
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2 changes: 1 addition & 1 deletion ...ode_modules/@stdlib/math/base/special/gamma-delta-ratio/test/fixtures/cpp/large_tiny.json
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2 changes: 1 addition & 1 deletion ...modules/@stdlib/math/base/special/gamma-delta-ratio/test/fixtures/cpp/small_integers.json
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2 changes: 1 addition & 1 deletion ...ode_modules/@stdlib/math/base/special/gamma-delta-ratio/test/fixtures/cpp/tiny_large.json
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44 changes: 7 additions & 37 deletions lib/node_modules/@stdlib/math/base/special/gamma-delta-ratio/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -22,8 +22,7 @@

var tape = require( 'tape' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var abs = require( '@stdlib/math/base/special/abs' );
var EPS = require( '@stdlib/constants/float64/eps' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var gammaDeltaRatio = require( './../lib' );


Expand Down Expand Up @@ -74,9 +73,7 @@ tape( 'the function returns `0` for very large `z` and negligible `delta`', func

tape( 'the function evaluates the ratio of two gamma functions (decimals)', function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -86,18 +83,14 @@ tape( 'the function evaluates the ratio of two gamma functions (decimals)', func
expected = decimals.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 337.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 728 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (small integers)', function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -107,18 +100,14 @@ tape( 'the function evaluates the ratio of two gamma functions (small integers)'
expected = smallIntegers.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 1.1 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (large integers)', function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -128,18 +117,14 @@ tape( 'the function evaluates the ratio of two gamma functions (large integers)'
expected = largeIntegers.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 129.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 409 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (non-integer `z`, integer `delta`)', function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -149,18 +134,14 @@ tape( 'the function evaluates the ratio of two gamma functions (non-integer `z`,
expected = decimalsIntegers.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 129.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 40 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (tiny `z`, large `delta`)', function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -170,23 +151,14 @@ tape( 'the function evaluates the ratio of two gamma functions (tiny `z`, large
expected = tinyLarge.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 3.3 * EPS * abs( expected[ i ] );

// Handle cases where either the expected value is zero or `v` is zero and the expected value is very small...
if ( tol < 1.0e-300 ) {
tol = 1.0e-300;
}
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 8 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (large `z`, tiny `delta`)', function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -196,9 +168,7 @@ tape( 'the function evaluates the ratio of two gamma functions (large `z`, tiny
expected = largeTiny.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 1.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
46 changes: 9 additions & 37 deletions lib/node_modules/@stdlib/math/base/special/gamma-delta-ratio/test/test.native.js
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Original file line number Diff line number Diff line change
Expand Up @@ -23,8 +23,7 @@
var resolve = require( 'path' ).resolve;
var tape = require( 'tape' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var abs = require( '@stdlib/math/base/special/abs' );
var EPS = require( '@stdlib/constants/float64/eps' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var tryRequire = require( '@stdlib/utils/try-require' );


Expand Down Expand Up @@ -83,9 +82,7 @@ tape( 'the function returns `0` for very large `z` and negligible `delta`', opts

tape( 'the function evaluates the ratio of two gamma functions (decimals)', opts, function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -95,18 +92,14 @@ tape( 'the function evaluates the ratio of two gamma functions (decimals)', opts
expected = decimals.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 337.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 728 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (small integers)', opts, function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -116,18 +109,14 @@ tape( 'the function evaluates the ratio of two gamma functions (small integers)'
expected = smallIntegers.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 1.1 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (large integers)', opts, function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -137,18 +126,14 @@ tape( 'the function evaluates the ratio of two gamma functions (large integers)'
expected = largeIntegers.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 129.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 409 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (non-integer `z`, integer `delta`)', opts, function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -158,18 +143,16 @@ tape( 'the function evaluates the ratio of two gamma functions (non-integer `z`,
expected = decimalsIntegers.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 129.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+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( v, expected[ i ], 41 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (tiny `z`, large `delta`)', opts, function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -179,23 +162,14 @@ tape( 'the function evaluates the ratio of two gamma functions (tiny `z`, large
expected = tinyLarge.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 3.3 * EPS * abs( expected[ i ] );

// Handle cases where either the expected value is zero or `v` is zero and the expected value is very small...
if ( tol < 1.0e-300 ) {
tol = 1.0e-300;
}
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 8 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the ratio of two gamma functions (large `z`, tiny `delta`)', opts, function test( t ) {
var expected;
var delta;
var diff;
var tol;
var v;
var i;
var z;
Expand All @@ -205,9 +179,7 @@ tape( 'the function evaluates the ratio of two gamma functions (large `z`, tiny
expected = largeTiny.expected;
for ( i = 0; i < z.length; i++ ) {
v = gammaDeltaRatio( z[ i ], diff[ i ] );
delta = abs( v - expected[ i ] );
tol = 1.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. z: '+z[i]+'. delta: '+diff[i]+'. v: '+v+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol );
t.strictEqual( isAlmostSameValue( v, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});