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Apr 5, 2025
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test: add tests for IEEE 754-2019 compliance #6562

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5e7376c
test: add tests for IEEE 754-2019 compliance
anandkaranubc Apr 5, 2025
d441fc5
refactor: test messages
anandkaranubc Apr 5, 2025
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119 changes: 70 additions & 49 deletions lib/node_modules/@stdlib/math/base/special/atan2/test/test.js
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Original file line number Diff line number Diff line change
Expand Up @@ -48,118 +48,139 @@ tape( 'main export is a function', function test( t ) {
});

tape( 'the function has two parameters: a numerator and a denominator value', function test( t ) {
t.equal( atan2.length, 2.0, 'arity is 2' );
t.equal( atan2.length, 2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `NaN` if provided `NaN` as either of the arguments', function test( t ) {
t.equal( isnan( atan2( 2.0, NaN ) ), true, 'returns NaN' );
t.equal( isnan( atan2( NaN, 3.0 ) ), true, 'returns NaN' );
t.equal( isnan( atan2( 2.0, NaN ) ), true, 'returns expected value' );
t.equal( isnan( atan2( NaN, 3.0 ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `+0` if provided `y = +0.0` and `x >= 0`', function test( t ) {
t.equal( isPositiveZero( atan2( +0.0, 0.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 2.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 4.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 5.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 10.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 0.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 2.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 4.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 5.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 10.0 ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `-0` if provided `y = -0.0` and `x >= 0`', function test( t ) {
t.equal( isNegativeZero( atan2( -0.0, 0.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 2.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 4.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 5.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 10.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 0.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 2.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 4.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 5.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 10.0 ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `PI` if provided `y = +0.0` and `x <= -0.0`', function test( t ) {
t.equal( atan2( +0.0, -0.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -2.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -4.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -5.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -10.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -0.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -2.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -4.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -5.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -10.0 ), +PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI` if provided `y = -0.0` and `x <= -0.0`', function test( t ) {
t.equal( atan2( -0.0, -0.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -2.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -4.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -5.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -10.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -0.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -2.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -4.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -5.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -10.0 ), -PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `+PI/4` if provided `x = y = +infinity`', function test( t ) {
t.equal( atan2( PINF, PINF ), +PI/4.0, 'returns +PI/4' );
t.equal( atan2( PINF, PINF ), +PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/4` if provided `x = -y = +infinity`', function test( t ) {
t.equal( atan2( NINF, PINF ), -PI/4.0, 'returns -PI/4' );
t.equal( atan2( NINF, PINF ), -PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `*3*PI/4` if provided `-x = y = +infinity`', function test( t ) {
t.equal( atan2( PINF, NINF ), +3.0*PI/4.0, 'returns +3*PI/4' );
t.equal( atan2( PINF, NINF ), +3.0*PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-3*PI/4` if provided `x = y = -infinity`', function test( t ) {
t.equal( atan2( NINF, NINF ), -3.0*PI/4.0, 'returns -3*PI/4' );
t.equal( atan2( NINF, NINF ), -3.0*PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `0.0` when `x = +infinity`', function test( t ) {
t.equal( atan2( -2.0, PINF ), 0.0, 'returns 0.0' );
t.equal( atan2( 0.0, PINF ), 0.0, 'returns 0.0' );
t.equal( atan2( 2.0, PINF ), 0.0, 'returns 0.0' );
tape( 'the function returns `0.0` when `y > 0` and `x = +infinity`', function test( t ) {
t.equal( isPositiveZero( atan2( 1.0, PINF ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( 2.0, PINF ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( 3.0, PINF ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `-0.0` when `y < 0` and `x = +infinity`', function test( t ) {
t.equal( isNegativeZero( atan2( -1.0, PINF ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -2.0, PINF ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -3.0, PINF ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `+PI` when `y > 0` and `x = -infinity`', function test( t ) {
t.equal( atan2( 1.0, NINF ), PI, 'returns PI' );
t.equal( atan2( 2.0, NINF ), PI, 'returns PI' );
t.equal( atan2( 3.0, NINF ), PI, 'returns PI' );
t.equal( atan2( 1.0, NINF ), PI, 'returns expected value' );
t.equal( atan2( 2.0, NINF ), PI, 'returns expected value' );
t.equal( atan2( 3.0, NINF ), PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI` when `y < 0` and `x = -infinity`', function test( t ) {
t.equal( atan2( -1.0, NINF ), -PI, 'returns -PI' );
t.equal( atan2( -2.0, NINF ), -PI, 'returns -PI' );
t.equal( atan2( -3.0, NINF ), -PI, 'returns -PI' );
t.equal( atan2( -1.0, NINF ), -PI, 'returns expected value' );
t.equal( atan2( -2.0, NINF ), -PI, 'returns expected value' );
t.equal( atan2( -3.0, NINF ), -PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `+PI/2` when `y = +infinity`', function test( t ) {
t.equal( atan2( PINF, -1.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( PINF, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( PINF, 2.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( PINF, -1.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( PINF, 0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( PINF, 2.0 ), PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/2` when `y = -infinity`', function test( t ) {
t.equal( atan2( NINF, -1.0 ), -PI/2.0, 'returns -PI/2' );
t.equal( atan2( NINF, 0.0 ), -PI/2.0, 'returns -PI/2' );
t.equal( atan2( NINF, 2.0 ), -PI/2.0, 'returns -PI/2' );
t.equal( atan2( NINF, -1.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( NINF, 0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( NINF, 2.0 ), -PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `PI/2` if provided a positive `y` and `x=0`', function test( t ) {
t.equal( atan2( 2.0, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( 1.0, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( 0.5, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( 2.0, 0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 1.0, 0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 0.5, 0.0 ), PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `PI/2` if provided a positive `y` and `x=-0`', function test( t ) {
t.equal( atan2( 2.0, -0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 1.0, -0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 0.5, -0.0 ), PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/2` if provided a negative `y` and `x=0`', function test( t ) {
t.equal( atan2( -2.0, 0.0 ), -PI/2.0, 'returns PI/2' );
t.equal( atan2( -1.0, 0.0 ), -PI/2.0, 'returns PI/2' );
t.equal( atan2( -0.5, 0.0 ), -PI/2.0, 'returns PI/2' );
t.equal( atan2( -2.0, 0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -1.0, 0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -0.5, 0.0 ), -PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/2` if provided a negative `y` and `x=-0`', function test( t ) {
t.equal( atan2( -2.0, -0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -1.0, -0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -0.5, -0.0 ), -PI/2.0, 'returns expected value' );
t.end();
});

Expand Down
119 changes: 70 additions & 49 deletions lib/node_modules/@stdlib/math/base/special/atan2/test/test.native.js
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -57,118 +57,139 @@ tape( 'main export is a function', opts, function test( t ) {
});

tape( 'the function has two parameters: a numerator and a denominator value', opts, function test( t ) {
t.equal( atan2.length, 2.0, 'arity is 2' );
t.equal( atan2.length, 2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `NaN` if provided `NaN` as either of the arguments', opts, function test( t ) {
t.equal( isnan( atan2( 2.0, NaN ) ), true, 'returns NaN' );
t.equal( isnan( atan2( NaN, 3.0 ) ), true, 'returns NaN' );
t.equal( isnan( atan2( 2.0, NaN ) ), true, 'returns expected value' );
t.equal( isnan( atan2( NaN, 3.0 ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `+0` if provided `y = +0.0` and `x >= 0`', opts, function test( t ) {
t.equal( isPositiveZero( atan2( +0.0, 0.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 2.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 4.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 5.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 10.0 ) ), true, 'returns +0' );
t.equal( isPositiveZero( atan2( +0.0, 0.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 2.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 4.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 5.0 ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( +0.0, 10.0 ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `-0` if provided `y = -0.0` and `x >= 0`', opts, function test( t ) {
t.equal( isNegativeZero( atan2( -0.0, 0.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 2.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 4.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 5.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 10.0 ) ), true, 'returns -0' );
t.equal( isNegativeZero( atan2( -0.0, 0.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 2.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 4.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 5.0 ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -0.0, 10.0 ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `PI` if provided `y = +0.0` and `x <= -0.0`', opts, function test( t ) {
t.equal( atan2( +0.0, -0.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -2.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -4.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -5.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -10.0 ), +PI, 'returns +PI' );
t.equal( atan2( +0.0, -0.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -2.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -4.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -5.0 ), +PI, 'returns expected value' );
t.equal( atan2( +0.0, -10.0 ), +PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI` if provided `y = -0.0` and `x <= -0.0`', opts, function test( t ) {
t.equal( atan2( -0.0, -0.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -2.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -4.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -5.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -10.0 ), -PI, 'returns -PI' );
t.equal( atan2( -0.0, -0.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -2.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -4.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -5.0 ), -PI, 'returns expected value' );
t.equal( atan2( -0.0, -10.0 ), -PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `+PI/4` if provided `x = y = +infinity`', opts, function test( t ) {
t.equal( atan2( PINF, PINF ), +PI/4.0, 'returns +PI/4' );
t.equal( atan2( PINF, PINF ), +PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/4` if provided `x = -y = +infinity`', opts, function test( t ) {
t.equal( atan2( NINF, PINF ), -PI/4.0, 'returns -PI/4' );
t.equal( atan2( NINF, PINF ), -PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `*3*PI/4` if provided `-x = y = +infinity`', opts, function test( t ) {
t.equal( atan2( PINF, NINF ), +3.0*PI/4.0, 'returns +3*PI/4' );
t.equal( atan2( PINF, NINF ), +3.0*PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-3*PI/4` if provided `x = y = -infinity`', opts, function test( t ) {
t.equal( atan2( NINF, NINF ), -3.0*PI/4.0, 'returns -3*PI/4' );
t.equal( atan2( NINF, NINF ), -3.0*PI/4.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `0.0` when `x = +infinity`', opts, function test( t ) {
t.equal( atan2( -2.0, PINF ), 0.0, 'returns 0.0' );
t.equal( atan2( 0.0, PINF ), 0.0, 'returns 0.0' );
t.equal( atan2( 2.0, PINF ), 0.0, 'returns 0.0' );
tape( 'the function returns `0.0` when `y > 0` and `x = +infinity`', opts, function test( t ) {
t.equal( isPositiveZero( atan2( 1.0, PINF ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( 2.0, PINF ) ), true, 'returns expected value' );
t.equal( isPositiveZero( atan2( 3.0, PINF ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `-0.0` when `y < 0` and `x = +infinity`', opts, function test( t ) {
t.equal( isNegativeZero( atan2( -1.0, PINF ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -2.0, PINF ) ), true, 'returns expected value' );
t.equal( isNegativeZero( atan2( -3.0, PINF ) ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns `+PI` when `y > 0` and `x = -infinity`', opts, function test( t ) {
t.equal( atan2( 1.0, NINF ), PI, 'returns PI' );
t.equal( atan2( 2.0, NINF ), PI, 'returns PI' );
t.equal( atan2( 3.0, NINF ), PI, 'returns PI' );
t.equal( atan2( 1.0, NINF ), PI, 'returns expected value' );
t.equal( atan2( 2.0, NINF ), PI, 'returns expected value' );
t.equal( atan2( 3.0, NINF ), PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI` when `y < 0` and `x = -infinity`', opts, function test( t ) {
t.equal( atan2( -1.0, NINF ), -PI, 'returns -PI' );
t.equal( atan2( -2.0, NINF ), -PI, 'returns -PI' );
t.equal( atan2( -3.0, NINF ), -PI, 'returns -PI' );
t.equal( atan2( -1.0, NINF ), -PI, 'returns expected value' );
t.equal( atan2( -2.0, NINF ), -PI, 'returns expected value' );
t.equal( atan2( -3.0, NINF ), -PI, 'returns expected value' );
t.end();
});

tape( 'the function returns `+PI/2` when `y = +infinity`', opts, function test( t ) {
t.equal( atan2( PINF, -1.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( PINF, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( PINF, 2.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( PINF, -1.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( PINF, 0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( PINF, 2.0 ), PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/2` when `y = -infinity`', opts, function test( t ) {
t.equal( atan2( NINF, -1.0 ), -PI/2.0, 'returns -PI/2' );
t.equal( atan2( NINF, 0.0 ), -PI/2.0, 'returns -PI/2' );
t.equal( atan2( NINF, 2.0 ), -PI/2.0, 'returns -PI/2' );
t.equal( atan2( NINF, -1.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( NINF, 0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( NINF, 2.0 ), -PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `PI/2` if provided a positive `y` and `x=0`', opts, function test( t ) {
t.equal( atan2( 2.0, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( 1.0, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( 0.5, 0.0 ), PI/2.0, 'returns PI/2' );
t.equal( atan2( 2.0, 0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 1.0, 0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 0.5, 0.0 ), PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `PI/2` if provided a positive `y` and `x=-0`', opts, function test( t ) {
t.equal( atan2( 2.0, -0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 1.0, -0.0 ), PI/2.0, 'returns expected value' );
t.equal( atan2( 0.5, -0.0 ), PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/2` if provided a negative `y` and `x=0`', opts, function test( t ) {
t.equal( atan2( -2.0, 0.0 ), -PI/2.0, 'returns PI/2' );
t.equal( atan2( -1.0, 0.0 ), -PI/2.0, 'returns PI/2' );
t.equal( atan2( -0.5, 0.0 ), -PI/2.0, 'returns PI/2' );
t.equal( atan2( -2.0, 0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -1.0, 0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -0.5, 0.0 ), -PI/2.0, 'returns expected value' );
t.end();
});

tape( 'the function returns `-PI/2` if provided a negative `y` and `x=-0`', opts, function test( t ) {
t.equal( atan2( -2.0, -0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -1.0, -0.0 ), -PI/2.0, 'returns expected value' );
t.equal( atan2( -0.5, -0.0 ), -PI/2.0, 'returns expected value' );
t.end();
});

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