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chore: add test cases
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‎lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.js‎

Lines changed: 46 additions & 24 deletions
Original file line numberDiff line numberDiff line change
@@ -23,9 +23,40 @@
2323
var tape = require( 'tape' );
2424
var sqrt = require( '@stdlib/math/base/special/sqrt' );
2525
var Float64Array = require( '@stdlib/array/float64' );
26+
var EPS = require( '@stdlib/constants/float64/eps' );
27+
var abs = require( '@stdlib/math/base/special/abs' );
2628
var dnrm2 = require( './../lib/dnrm2.js' );
2729

2830

31+
// FUNCTIONS //
32+
33+
/**
34+
* Tests for element-wise approximate equality.
35+
*
36+
* @private
37+
* @param {Object} t - test object
38+
* @param {Collection} actual - actual values
39+
* @param {Collection} expected - expected values
40+
* @param {number} rtol - relative tolerance
41+
*/
42+
function isApprox( t, actual, expected, rtol ) {
43+
var delta;
44+
var tol;
45+
var i;
46+
47+
t.strictEqual( actual.length, expected.length, 'returns expected value' );
48+
for ( i = 0; i < expected.length; i++ ) {
49+
if ( actual[ i ] === expected[ i ] ) {
50+
t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
51+
} else {
52+
delta = abs( actual[ i ] - expected[ i ] );
53+
tol = rtol * EPS * abs( expected[ i ] );
54+
t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
55+
}
56+
}
57+
}
58+
59+
2960
// TESTS //
3061

3162
tape( 'main export is a function', function test( t ) {
@@ -34,8 +65,8 @@ tape( 'main export is a function', function test( t ) {
3465
t.end();
3566
});
3667

37-
tape( 'the function has an arity of 3', function test( t ) {
38-
t.strictEqual( dnrm2.length, 3, 'returns expected value' );
68+
tape( 'the function has an arity of 4', function test( t ) {
69+
t.strictEqual( dnrm2.length, 4, 'returns expected value' );
3970
t.end();
4071
});
4172

@@ -45,47 +76,38 @@ tape( 'the function calculates the L2-norm of a vector', function test( t ) {
4576

4677
x = new Float64Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
4778

48-
z = dnrm2( x.length, x, 1 );
79+
z = dnrm2( x.length, x, 1, 0 );
4980
t.strictEqual( z, sqrt( 55.0 ), 'returns expected value' );
5081

5182
x = new Float64Array( [ -4.0 ] );
5283

53-
z = dnrm2( x.length, x, 1 );
84+
z = dnrm2( x.length, x, 1, 0 );
5485
t.strictEqual( z, 4.0, 'returns expected value' );
5586

56-
t.end();
57-
});
58-
59-
tape( 'the function calculates the L2-norm of a vector ( large value ) ', function test( t ) {
60-
var x;
61-
var z;
62-
63-
x = new Float64Array( [ 1.0, 2.0e147, -4.0, 5.0, 0.0, 3.0 ] );
87+
x = new Float64Array([ 1e150, 1e150, 1e150, 1e150 ]);
6488

6589
z = dnrm2( x.length, x, 1, 0 );
66-
t.strictEqual( z, 2.0e147, 'returns expected value' );
90+
t.strictEqual( z, 2.0e+150, 'returns expected value' );
6791

68-
x = new Float64Array( [ 2.5e146, 5.0 ] );
92+
x = new Float64Array([ 1e-155, 1e-155, 1e-155, 1e-155 ]);
6993

7094
z = dnrm2( x.length, x, 1, 0 );
71-
t.strictEqual( z, 2.5e146, 'returns expected value' );
95+
t.strictEqual( z, 2.0e-155, 'returns expected value' );
7296

73-
t.end();
74-
});
97+
x = new Float64Array([ 1e150, 1e50, 1e150, 1e50 ]);
7598

76-
tape( 'the function calculates the L2-norm of a vector ( tiny value ) ', function test( t ) {
77-
var x;
78-
var z;
99+
z = dnrm2( x.length, x, 1, 0 );
100+
isApprox( t, z, 1.41421e150, 2.0 );
79101

80-
x = new Float64Array( [ 1.0, 3.0e-154, -4.0, 5.0, 0.0, 3.0 ] );
102+
x = new Float64Array([ 1e-155, 1e50, 1e-155, 1e50 ]);
81103

82104
z = dnrm2( x.length, x, 1, 0 );
83-
t.strictEqual( z, sqrt( 51.0 ), 'returns expected value' );
105+
isApprox( t, z, 1.41421e50, 2.0 );
84106

85-
x = new Float64Array( [ 5.0, 1.0e-155 ] );
107+
x = new Float64Array([ 1.4e-154, 1.5e-154, 1.4e-154, 0.0 ]);
86108

87109
z = dnrm2( x.length, x, 1, 0 );
88-
t.strictEqual( z, 5.0, 'returns expected value' );
110+
isApprox( t, z, 2.483948e-154, 2.0 );
89111

90112
t.end();
91113
});

‎lib/node_modules/@stdlib/blas/base/dnrm2/test/test.dnrm2.native.js‎

Lines changed: 44 additions & 22 deletions
Original file line numberDiff line numberDiff line change
@@ -24,6 +24,8 @@ var resolve = require( 'path' ).resolve;
2424
var tape = require( 'tape' );
2525
var sqrt = require( '@stdlib/math/base/special/sqrt' );
2626
var Float64Array = require( '@stdlib/array/float64' );
27+
var EPS = require( '@stdlib/constants/float64/eps' );
28+
var abs = require( '@stdlib/math/base/special/abs' );
2729
var tryRequire = require( '@stdlib/utils/try-require' );
2830

2931

@@ -35,6 +37,35 @@ var opts = {
3537
};
3638

3739

40+
// FUNCTIONS //
41+
42+
/**
43+
* Tests for element-wise approximate equality.
44+
*
45+
* @private
46+
* @param {Object} t - test object
47+
* @param {Collection} actual - actual values
48+
* @param {Collection} expected - expected values
49+
* @param {number} rtol - relative tolerance
50+
*/
51+
function isApprox( t, actual, expected, rtol ) {
52+
var delta;
53+
var tol;
54+
var i;
55+
56+
t.strictEqual( actual.length, expected.length, 'returns expected value' );
57+
for ( i = 0; i < expected.length; i++ ) {
58+
if ( actual[ i ] === expected[ i ] ) {
59+
t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
60+
} else {
61+
delta = abs( actual[ i ] - expected[ i ] );
62+
tol = rtol * EPS * abs( expected[ i ] );
63+
t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
64+
}
65+
}
66+
}
67+
68+
3869
// TESTS //
3970

4071
tape( 'main export is a function', opts, function test( t ) {
@@ -54,47 +85,38 @@ tape( 'the function calculates the L2-norm of a vector', opts, function test( t
5485

5586
x = new Float64Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
5687

57-
z = dnrm2( x.length, x, 1 );
88+
z = dnrm2( x.length, x, 1, 0 );
5889
t.strictEqual( z, sqrt( 55.0 ), 'returns expected value' );
5990

6091
x = new Float64Array( [ -4.0 ] );
6192

62-
z = dnrm2( x.length, x, 1 );
93+
z = dnrm2( x.length, x, 1, 0 );
6394
t.strictEqual( z, 4.0, 'returns expected value' );
6495

65-
t.end();
66-
});
67-
68-
tape( 'the function calculates the L2-norm of a vector ( large value ) ', function test( t ) {
69-
var x;
70-
var z;
71-
72-
x = new Float64Array( [ 1.0, 2.0e147, -4.0, 5.0, 0.0, 3.0 ] );
96+
x = new Float64Array([ 1e150, 1e150, 1e150, 1e150 ]);
7397

7498
z = dnrm2( x.length, x, 1, 0 );
75-
t.strictEqual( z, 2.0e147, 'returns expected value' );
99+
t.strictEqual( z, 2.0e+150, 'returns expected value' );
76100

77-
x = new Float64Array( [ 2.5e146, 5.0 ] );
101+
x = new Float64Array([ 1e-155, 1e-155, 1e-155, 1e-155 ]);
78102

79103
z = dnrm2( x.length, x, 1, 0 );
80-
t.strictEqual( z, 2.5e146, 'returns expected value' );
104+
t.strictEqual( z, 2.0e-155, 'returns expected value' );
81105

82-
t.end();
83-
});
106+
x = new Float64Array([ 1e150, 1e50, 1e150, 1e50 ]);
84107

85-
tape( 'the function calculates the L2-norm of a vector ( tiny value ) ', function test( t ) {
86-
var x;
87-
var z;
108+
z = dnrm2( x.length, x, 1, 0 );
109+
isApprox( t, z, 1.41421e150, 2.0 );
88110

89-
x = new Float64Array( [ 1.0, 3.0e-154, -4.0, 5.0, 0.0, 3.0 ] );
111+
x = new Float64Array([ 1e-155, 1e50, 1e-155, 1e50 ]);
90112

91113
z = dnrm2( x.length, x, 1, 0 );
92-
t.strictEqual( z, sqrt( 51.0 ), 'returns expected value' );
114+
isApprox( t, z, 1.41421e50, 2.0 );
93115

94-
x = new Float64Array( [ 5.0, 1.0e-155 ] );
116+
x = new Float64Array([ 1.4e-154, 1.5e-154, 1.4e-154, 0.0 ]);
95117

96118
z = dnrm2( x.length, x, 1, 0 );
97-
t.strictEqual( z, 5.0, 'returns expected value' );
119+
isApprox( t, z, 2.483948e-154, 2.0 );
98120

99121
t.end();
100122
});

‎lib/node_modules/@stdlib/blas/base/dnrm2/test/test.ndarray.js‎

Lines changed: 42 additions & 20 deletions
Original file line numberDiff line numberDiff line change
@@ -23,9 +23,40 @@
2323
var tape = require( 'tape' );
2424
var sqrt = require( '@stdlib/math/base/special/sqrt' );
2525
var Float64Array = require( '@stdlib/array/float64' );
26+
var EPS = require( '@stdlib/constants/float64/eps' );
27+
var abs = require( '@stdlib/math/base/special/abs' );
2628
var dnrm2 = require( './../lib/ndarray.js' );
2729

2830

31+
// FUNCTIONS //
32+
33+
/**
34+
* Tests for element-wise approximate equality.
35+
*
36+
* @private
37+
* @param {Object} t - test object
38+
* @param {Collection} actual - actual values
39+
* @param {Collection} expected - expected values
40+
* @param {number} rtol - relative tolerance
41+
*/
42+
function isApprox( t, actual, expected, rtol ) {
43+
var delta;
44+
var tol;
45+
var i;
46+
47+
t.strictEqual( actual.length, expected.length, 'returns expected value' );
48+
for ( i = 0; i < expected.length; i++ ) {
49+
if ( actual[ i ] === expected[ i ] ) {
50+
t.strictEqual( actual[ i ], expected[ i ], 'returns expected value' );
51+
} else {
52+
delta = abs( actual[ i ] - expected[ i ] );
53+
tol = rtol * EPS * abs( expected[ i ] );
54+
t.ok( delta <= tol, 'within tolerance. actual: '+actual[ i ]+'. expected: '+expected[ i ]+'. delta: '+delta+'. tol: '+tol+'.' );
55+
}
56+
}
57+
}
58+
59+
2960
// TESTS //
3061

3162
tape( 'main export is a function', function test( t ) {
@@ -53,39 +84,30 @@ tape( 'the function calculates the L2-norm of a vector', function test( t ) {
5384
z = dnrm2( x.length, x, 1, 0 );
5485
t.strictEqual( z, 4.0, 'returns expected value' );
5586

56-
t.end();
57-
});
58-
59-
tape( 'the function calculates the L2-norm of a vector ( large value ) ', function test( t ) {
60-
var x;
61-
var z;
62-
63-
x = new Float64Array( [ 1.0, 2.0e147, -4.0, 5.0, 0.0, 3.0 ] );
87+
x = new Float64Array([ 1e150, 1e150, 1e150, 1e150 ]);
6488

6589
z = dnrm2( x.length, x, 1, 0 );
66-
t.strictEqual( z, 2.0e147, 'returns expected value' );
90+
t.strictEqual( z, 2.0e+150, 'returns expected value' );
6791

68-
x = new Float64Array( [ 2.5e146, 5.0 ] );
92+
x = new Float64Array([ 1e-155, 1e-155, 1e-155, 1e-155 ]);
6993

7094
z = dnrm2( x.length, x, 1, 0 );
71-
t.strictEqual( z, 2.5e146, 'returns expected value' );
95+
t.strictEqual( z, 2.0e-155, 'returns expected value' );
7296

73-
t.end();
74-
});
97+
x = new Float64Array([ 1e150, 1e50, 1e150, 1e50 ]);
7598

76-
tape( 'the function calculates the L2-norm of a vector ( tiny value ) ', function test( t ) {
77-
var x;
78-
var z;
99+
z = dnrm2( x.length, x, 1, 0 );
100+
isApprox( t, z, 1.41421e150, 2.0 );
79101

80-
x = new Float64Array( [ 1.0, 3.0e-154, -4.0, 5.0, 0.0, 3.0 ] );
102+
x = new Float64Array([ 1e-155, 1e50, 1e-155, 1e50 ]);
81103

82104
z = dnrm2( x.length, x, 1, 0 );
83-
t.strictEqual( z, sqrt( 51.0 ), 'returns expected value' );
105+
isApprox( t, z, 1.41421e50, 2.0 );
84106

85-
x = new Float64Array( [ 5.0, 1.0e-155 ] );
107+
x = new Float64Array([ 1.4e-154, 1.5e-154, 1.4e-154, 0.0 ]);
86108

87109
z = dnrm2( x.length, x, 1, 0 );
88-
t.strictEqual( z, 5.0, 'returns expected value' );
110+
isApprox( t, z, 2.483948e-154, 2.0 );
89111

90112
t.end();
91113
});

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