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test: migrate math/base/special/ellipe to ULP difference testing #13778

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Merged
kgryte merged 1 commit into from
Jul 30, 2026
Merged

test: migrate math/base/special/ellipe to ULP difference testing #13778

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39 changes: 10 additions & 29 deletions lib/node_modules/@stdlib/math/base/special/ellipe/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -22,11 +22,10 @@

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


Expand All @@ -47,70 +46,52 @@ tape( 'main export is a function', function test( t ) {

tape( 'the function evaluates the complete elliptic integral of the second kind (medium positive values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = mediumPositive.expected;
x = mediumPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = ellipe( 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+'. tol: '+tol+'.' );
}
e = expected[ i ];
t.strictEqual( isAlmostSameValue( y, e, 5 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the complete elliptic integral of the second kind (values close to positive unity)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = closeToUnity.expected;
x = closeToUnity.x;
for ( i = 0; i < x.length; i++ ) {
y = ellipe( 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 = 4.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
e = expected[ i ];
t.strictEqual( isAlmostSameValue( y, e, 4 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the complete elliptic integral of the second kind (spot checked negative values)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

// The spot checked values are derived from Wolfram Alpha and cross-checked against Maxima. For example, to compute E(-0.1): https://www.wolframalpha.com/input/?i=EllipticE(-0.1)
expected = negativeSpotChecks.expected;
x = negativeSpotChecks.x;
for ( i = 0; i < x.length; i++ ) {
y = ellipe( 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 = 2.2 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
e = expected[ i ];
t.strictEqual( isAlmostSameValue( y, e, 4 ), true, 'returns expected value' );
}
t.end();
});
Expand Down
39 changes: 10 additions & 29 deletions lib/node_modules/@stdlib/math/base/special/ellipe/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 isnan = require( '@stdlib/math/base/assert/is-nan' );
var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var HALF_PI = require( '@stdlib/constants/float64/half-pi' );
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 @@ -56,70 +55,52 @@ tape( 'main export is a function', opts, function test( t ) {

tape( 'the function evaluates the complete elliptic integral of the second kind (values close to positive unity)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = closeToUnity.expected;
x = closeToUnity.x;
for ( i = 0; i < x.length; i++ ) {
y = ellipe( 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 = 4.0 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
e = expected[ i ];
t.strictEqual( isAlmostSameValue( y, e, 4 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the complete elliptic integral of the second kind (medium positive values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = mediumPositive.expected;
x = mediumPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = ellipe( 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+'. tol: '+tol+'.' );
}
e = expected[ i ];
t.strictEqual( isAlmostSameValue( y, e, 5 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the complete elliptic integral of the second kind (spot checked negative values)', opts, function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

// The spot checked values are derived from Wolfram Alpha and cross-checked against Maxima. For example, to compute E(-0.1): https://www.wolframalpha.com/input/?i=EllipticE(-0.1)
expected = negativeSpotChecks.expected;
x = negativeSpotChecks.x;
for ( i = 0; i < x.length; i++ ) {
y = ellipe( 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 = 2.2 * EPS * abs( expected[i] );
t.strictEqual( delta <= tol, true, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. Δ: '+delta+'. tol: '+tol+'.' );
}
e = expected[ i ];
t.strictEqual( isAlmostSameValue( y, e, 4 ), true, 'returns expected value' );
}
t.end();
});
Expand Down