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test: migrate math/base/special/atan to ULP-based testing #11657

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Merged
kgryte merged 1 commit into from
Apr 20, 2026
+14 −119
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test: migrate math/base/special/atan to ULP-based testing #11657

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133 changes: 14 additions & 119 deletions lib/node_modules/@stdlib/math/base/special/atan/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 PINF = require( '@stdlib/constants/float64/pinf' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var PI = require( '@stdlib/constants/float64/pi' );
Expand Down Expand Up @@ -59,8 +58,6 @@ tape( 'main export is a function', function test( t ) {

tape( 'the function computes the arctangent on the interval `[-1e-308,-1e-300]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -70,21 +67,13 @@ tape( 'the function computes the arctangent on the interval `[-1e-308,-1e-300]`'

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[1e-300,1e-308]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -94,21 +83,13 @@ tape( 'the function computes the arctangent on the interval `[1e-300,1e-308]`',

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[-0.8,0.8]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -118,21 +99,13 @@ tape( 'the function computes the arctangent on the interval `[-0.8,0.8]`', funct

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[-1.0,-0.8]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -142,21 +115,13 @@ tape( 'the function computes the arctangent on the interval `[-1.0,-0.8]`', func

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[0.8,1.0]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -166,21 +131,13 @@ tape( 'the function computes the arctangent on the interval `[0.8,1.0]`', functi

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[-3.0,-1.0]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -190,21 +147,13 @@ tape( 'the function computes the arctangent on the interval `[-3.0,-1.0]`', func

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[1.0,3.0]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -214,21 +163,13 @@ tape( 'the function computes the arctangent on the interval `[1.0,3.0]`', functi

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[3.0,100.0]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -238,21 +179,13 @@ tape( 'the function computes the arctangent on the interval `[3.0,100.0]`', func

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[-100.0,-3.0]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -262,21 +195,13 @@ tape( 'the function computes the arctangent on the interval `[-100.0,-3.0]`', fu

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[100.0,1000.0]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -286,21 +211,13 @@ tape( 'the function computes the arctangent on the interval `[100.0,1000.0]`', f

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[-1000.0,-100.0]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -310,21 +227,13 @@ tape( 'the function computes the arctangent on the interval `[-1000.0,-100.0]`',

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[-1e200,-1e208]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -334,21 +243,13 @@ tape( 'the function computes the arctangent on the interval `[-1e200,-1e208]`',

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});

tape( 'the function computes the arctangent on the interval `[1e300,1e308]`', function test( t ) {
var expected;
var delta;
var tol;
var x;
var y;
var i;
Expand All @@ -358,13 +259,7 @@ tape( 'the function computes the arctangent on the interval `[1e300,1e308]`', fu

for ( i = 0; i < x.length; i++ ) {
y = atan( x[i] );
if ( y === expected[ i ] ) {
t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
} else {
delta = abs( y - expected[i] );
tol = 1.0 * EPS * abs( expected[i] );
t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
}
t.strictEqual( isAlmostSameValue( y, expected[ i ], 1 ), true, 'returns expected value' );
}
t.end();
});
Expand Down