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test: migrate math/base/special/rsqrtf to ULP-based testing #12790

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test: migrate math/base/special/rsqrtf to ULP-based testing #12790

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100 changes: 26 additions & 74 deletions lib/node_modules/@stdlib/math/base/special/rsqrtf/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -24,8 +24,8 @@ var tape = require( 'tape' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var PINF = require( '@stdlib/constants/float32/pinf' );
var NINF = require( '@stdlib/constants/float32/ninf' );
var EPS = require( '@stdlib/constants/float32/eps' );
var abs = require( '@stdlib/math/base/special/abs' );
var f32 = require( '@stdlib/number/float64/base/to-float32' );
var isAlmostSameValue = require( '@stdlib/number/float32/base/assert/is-almost-same-value' );
var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' );
var rsqrtf = require( './../lib' );

Expand All @@ -52,184 +52,136 @@ tape( 'main export is a function', function test( t ) {

tape( 'the function evaluates the reciprocal square root of `x` on the interval `[50,500]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = veryLargePositive.expected;
x = veryLargePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the reciprocal square root of `x` on the interval `[20,50]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = largePositive.expected;
x = largePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the reciprocal square root of `x` on the interval `[3,20]`', 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 = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the reciprocal square root of `x` on the interval `[0.8,3]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = smallPositive.expected;
x = smallPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the reciprocal square root of `x` on the interval `[0.0,0.8]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = smaller.expected;
x = smaller.x;
for ( i = 0; i < x.length; i++ ) {
y = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the reciprocal square root of `x` on the interval `[1e-300,1e-308]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = tinyPositive.expected;
x = tinyPositive.x;
for ( i = 0; i < x.length; i++ ) {
y = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the reciprocal square root of subnormal `x`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = subnormal.expected;
x = subnormal.x;
for ( i = 0; i < x.length; i++ ) {
y = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function evaluates the reciprocal square root of `x` (huge positive)', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
var e;

expected = hugePositive.expected;
x = hugePositive.x;
for ( i = 0; i < x.length; i++ ) {
y = rsqrtf( 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+'.' );
}
e = f32( expected[ i ] );
t.strictEqual( isAlmostSameValue( y, e, 1 ), true, 'returns expected value' );
}
t.end();
});
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