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Merged
kgryte merged 1 commit into from
Oct 12, 2026
Merged

test: migrate stats/base/dists/cauchy/quantile to ULP-based assertions #15943

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56 changes: 4 additions & 52 deletions lib/node_modules/@stdlib/stats/base/dists/cauchy/quantile/test/test.factory.js
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Original file line number Diff line number Diff line change
Expand Up @@ -21,11 +21,10 @@
// MODULES //

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


Expand Down Expand Up @@ -131,61 +130,28 @@ tape( 'if provided a nonpositive `gamma`, the created function always returns `N
tape( 'the created function evaluates the quantile function at `p` given parameters `x0` and `gamma` (large `gamma`)', function test( t ) {
var expected;
var quantile;
var delta;
var gamma;
var tol;
var x0;
var p;
var y;
var i;

/*
* Higher tolerance than EPS because Julia gives slightly different results for
* |x| ~<= 3*pi/4:
*
* Example 1:
* x = -1.35646279095478;
* Julia (tan): -4.593961172862999
* stdlib (tan): -4.593961172863
* Mathematica: -4.59396117286300026311049650877442413097818001966176559315
*
* Example 2:
* x = 1.4710248292410089
* Julia (tan): 9.989623320530624
* stdlib (tan): 9.989623320530626
* Mathematica: 9.989623320530629158499137574831736702146195199133529403233
*
* Example 3:
* x = 1.528545878614728
* Julia (tan): 23.654302824341386
* stdlib (tan): 23.65430282434139
* Mathematica: 23.65430282434144042648214719732782590575979471046811610915...
*/

expected = largeGamma.expected;
p = largeGamma.p;
x0 = largeGamma.x0;
gamma = largeGamma.gamma;
for ( i = 0; i < p.length; i++ ) {
quantile = factory( x0[i], gamma[i] );
y = quantile( p[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0: '+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 50.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the created function evaluates the quantile function at `p` given `x0` and `gamma` (`x0 > 0`)', function test( t ) {
var expected;
var quantile;
var delta;
var gamma;
var tol;
var x0;
var p;
var y;
Expand All @@ -198,23 +164,15 @@ tape( 'the created function evaluates the quantile function at `p` given `x0` an
for ( i = 0; i < p.length; i++ ) {
quantile = factory( x0[i], gamma[i] );
y = quantile( p[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0: '+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 125.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the created function evaluates the quantile function at `p` given `x0` and `gamma` (`x0 < 0`)', function test( t ) {
var expected;
var quantile;
var delta;
var gamma;
var tol;
var x0;
var p;
var y;
Expand All @@ -227,13 +185,7 @@ tape( 'the created function evaluates the quantile function at `p` given `x0` an
for ( i = 0; i < p.length; i++ ) {
quantile = factory( x0[i], gamma[i] );
y = quantile( p[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0: '+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 50.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});
56 changes: 4 additions & 52 deletions lib/node_modules/@stdlib/stats/base/dists/cauchy/quantile/test/test.native.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -23,11 +23,10 @@
var resolve = require( 'path' ).resolve;
var tape = require( 'tape' );
var tryRequire = require( '@stdlib/utils/try-require' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var abs = require( '@stdlib/math/base/special/abs' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var EPS = require( '@stdlib/constants/float64/eps' );


// FIXTURES //
Expand Down Expand Up @@ -104,58 +103,25 @@ tape( 'if provided a nonpositive `gamma`, the function always returns `NaN`', op
tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma` (large `gamma`)', opts, function test( t ) {
var expected;
var gamma;
var delta;
var tol;
var x0;
var p;
var y;
var i;

/*
* Higher tolerance than EPS because Julia gives slightly different results for
* |x| ~<= 3*pi/4:
*
* Example 1:
* x = -1.35646279095478;
* Julia (tan): -4.593961172862999
* stdlib (tan): -4.593961172863
* Mathematica: -4.59396117286300026311049650877442413097818001966176559315
*
* Example 2:
* x = 1.4710248292410089
* Julia (tan): 9.989623320530624
* stdlib (tan): 9.989623320530626
* Mathematica: 9.989623320530629158499137574831736702146195199133529403233
*
* Example 3:
* x = 1.528545878614728
* Julia (tan): 23.654302824341386
* stdlib (tan): 23.65430282434139
* Mathematica: 23.65430282434144042648214719732782590575979471046811610915...
*/

expected = largeGamma.expected;
p = largeGamma.p;
x0 = largeGamma.x0;
gamma = largeGamma.gamma;
for ( i = 0; i < p.length; i++ ) {
y = quantile( p[i], x0[i], gamma[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0:'+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 50.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma` (`x0 > 0`)', opts, function test( t ) {
var expected;
var delta;
var gamma;
var tol;
var x0;
var p;
var y;
Expand All @@ -167,22 +133,14 @@ tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma
gamma = positiveMedian.gamma;
for ( i = 0; i < p.length; i++ ) {
y = quantile( p[i], x0[i], gamma[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0:'+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 125.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma` (`x0 < 0`)', opts, function test( t ) {
var expected;
var delta;
var gamma;
var tol;
var x0;
var p;
var y;
Expand All @@ -194,13 +152,7 @@ tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma
gamma = negativeMedian.gamma;
for ( i = 0; i < p.length; i++ ) {
y = quantile( p[i], x0[i], gamma[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0:'+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 90.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});
56 changes: 4 additions & 52 deletions lib/node_modules/@stdlib/stats/base/dists/cauchy/quantile/test/test.quantile.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -21,11 +21,10 @@
// MODULES //

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


Expand Down Expand Up @@ -95,58 +94,25 @@ tape( 'if provided a nonpositive `gamma`, the function always returns `NaN`', fu
tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma` ( large `gamma`)', function test( t ) {
var expected;
var gamma;
var delta;
var tol;
var x0;
var p;
var y;
var i;

/*
* Higher tolerance than EPS because Julia gives slightly different results for
* |x| ~<= 3*pi/4:
*
* Example 1:
* x = -1.35646279095478;
* Julia (tan): -4.593961172862999
* stdlib (tan): -4.593961172863
* Mathematica: -4.59396117286300026311049650877442413097818001966176559315
*
* Example 2:
* x = 1.4710248292410089
* Julia (tan): 9.989623320530624
* stdlib (tan): 9.989623320530626
* Mathematica: 9.989623320530629158499137574831736702146195199133529403233
*
* Example 3:
* x = 1.528545878614728
* Julia (tan): 23.654302824341386
* stdlib (tan): 23.65430282434139
* Mathematica: 23.65430282434144042648214719732782590575979471046811610915...
*/

expected = largeGamma.expected;
p = largeGamma.p;
x0 = largeGamma.x0;
gamma = largeGamma.gamma;
for ( i = 0; i < p.length; i++ ) {
y = quantile( p[i], x0[i], gamma[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0:'+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 50.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma` (`x0 > 0`)', function test( t ) {
var expected;
var delta;
var gamma;
var tol;
var x0;
var p;
var y;
Expand All @@ -158,22 +124,14 @@ tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma
gamma = positiveMedian.gamma;
for ( i = 0; i < p.length; i++ ) {
y = quantile( p[i], x0[i], gamma[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0:'+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 125.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma` (`x0 < 0`)', function test( t ) {
var expected;
var delta;
var gamma;
var tol;
var x0;
var p;
var y;
Expand All @@ -185,13 +143,7 @@ tape( 'the function evaluates the quantile function at `p` given `x0` and `gamma
gamma = negativeMedian.gamma;
for ( i = 0; i < p.length; i++ ) {
y = quantile( p[i], x0[i], gamma[i] );
if ( y === expected[i] ) {
t.strictEqual( y, expected[i], 'p: '+p[i]+', x0:'+x0[i]+', gamma: '+gamma[i]+', y: '+y+', expected: '+expected[i] );
} else {
delta = abs( y - expected[ i ] );
tol = 50.0 * EPS * abs( expected[ i ] );
t.ok( delta <= tol, 'within tolerance. p: '+p[ i ]+'. x0: '+x0[i]+'. gamma: '+gamma[i]+'. y: '+y+'. E: '+expected[ i ]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );
}
t.end();
});
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