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Original file line number Diff line number Diff line change
Expand Up @@ -18,7 +18,7 @@ limitations under the License.
-->

# negaLucas
# negaLucasf

> Compute the nth [negaLucas number][lucas-number] in single-precision floating-point format.
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -21,12 +21,13 @@
// MODULES //

var bench = require( '@stdlib/bench' );
var randu = require( '@stdlib/random/array/discrete-uniform' );
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var roundf = require( '@stdlib/math/base/special/roundf' );
var pow = require( '@stdlib/math/base/special/pow' );
var absf = require( '@stdlib/math/base/special/absf' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var PHI = require( '@stdlib/constants/float32/phi' );
var zeros = require( '@stdlib/array/base/zeros' );
var pkg = require( './../package.json' ).name;
var NEGALUCAS = require( './../lib/negalucas.json' );
var negalucasf = require( './../lib' );
Expand All @@ -39,7 +40,7 @@ bench( pkg, function benchmark( b ) {
var y;
var i;

x = randu( 100, -34, 0 );
x = discreteUniform( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
Expand All @@ -61,12 +62,7 @@ bench( pkg+'::analytic', function benchmark( b ) {
var y;
var i;

x = randu( 100, -34, 0 );

function negalucasf( n ) {
var an = absf( n );
return pow( -1.0, an ) * roundf( pow( PHI, an ) );
}
x = discreteUniform( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
Expand All @@ -81,14 +77,19 @@ bench( pkg+'::analytic', function benchmark( b ) {
}
b.pass( 'benchmark finished' );
b.end();

function negalucasf( n ) {
var an = absf( n );
return pow( -1.0, an ) * roundf( pow( PHI, an ) );
}
});

bench( pkg+'::table', function benchmark( b ) {
var x;
var y;
var i;

x = randu( 100, -34, 0 );
x = discreteUniform( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
Expand All @@ -110,17 +111,7 @@ bench( pkg+'::naive_recursion', function benchmark( b ) {
var y;
var i;

function negalucasf( n ) {
if ( n === 0 ) {
return 2;
}
if ( n === -1 ) {
return -1;
}
return negalucasf( n+2 ) - negalucasf( n+1 );
}

x = randu( 100, -20, 0 );
x = discreteUniform( 100, -20, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
Expand All @@ -135,6 +126,16 @@ bench( pkg+'::naive_recursion', function benchmark( b ) {
}
b.pass( 'benchmark finished' );
b.end();

function negalucasf( n ) {
if ( n === 0 ) {
return 2;
}
if ( n === -1 ) {
return -1;
}
return negalucasf( n+2 ) - negalucasf( n+1 );
}
});

bench( pkg+'::recursion_memoized', function benchmark( b ) {
Expand All @@ -144,11 +145,27 @@ bench( pkg+'::recursion_memoized', function benchmark( b ) {
var y;
var i;

arr = new Array( 35 );
arr = zeros( 35 );
arr[ 0 ] = 2;
arr[ 1 ] = -1;
N = 1;

x = discreteUniform( 100, -20, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
y = negalucasf( x[ i % x.length ] );
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();

function negalucasf( n ) {
var an = absf( n );
if ( an <= N ) {
Expand All @@ -157,8 +174,14 @@ bench( pkg+'::recursion_memoized', function benchmark( b ) {
arr[ an ] = negalucasf( n+2 ) - negalucasf( n+1 );
return arr[ an ];
}
});

x = randu( 100, -20, 0 );
bench( pkg+'::naive_iterative', function benchmark( b ) {
var x;
var y;
var i;

x = discreteUniform( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
Expand All @@ -173,12 +196,6 @@ bench( pkg+'::recursion_memoized', function benchmark( b ) {
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+'::naive_iterative', function benchmark( b ) {
var x;
var y;
var i;

function negalucasf( n ) {
var arr;
Expand All @@ -187,16 +204,22 @@ bench( pkg+'::naive_iterative', function benchmark( b ) {

an = absf( n );

arr = new Array( an+1 );
arr = zeros( an+1 );
arr[ 0 ] = 2;
arr[ 1 ] = -1;
for ( i = 2; i <= an; i++ ) {
arr[ i ] = arr[ i-2 ] - arr[ i-1 ];
}
return arr[ an ];
}
});

bench( pkg+'::iterative', function benchmark( b ) {
var x;
var y;
var i;

x = randu( 100, -34, 0 );
x = discreteUniform( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
Expand All @@ -211,12 +234,6 @@ bench( pkg+'::naive_iterative', function benchmark( b ) {
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+'::iterative', function benchmark( b ) {
var x;
var y;
var i;

function negalucasf( n ) {
var an;
Expand All @@ -236,8 +253,21 @@ bench( pkg+'::iterative', function benchmark( b ) {
}
return b;
}
});

bench( pkg+'::iterative_memoized', function benchmark( b ) {
var arr;
var N;
var x;
var y;
var i;

arr = zeros( 35 );
arr[ 0 ] = 2;
arr[ 1 ] = -1;
N = 2;

x = randu( 100, -34, 0 );
x = discreteUniform( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
Expand All @@ -252,19 +282,6 @@ bench( pkg+'::iterative', function benchmark( b ) {
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+'::iterative_memoized', function benchmark( b ) {
var arr;
var N;
var x;
var y;
var i;

arr = new Array( 35 );
arr[ 0 ] = 2;
arr[ 1 ] = -1;
N = 2;

function negalucasf( n ) {
var an;
Expand All @@ -279,20 +296,4 @@ bench( pkg+'::iterative_memoized', function benchmark( b ) {
}
return arr[ an ];
}

x = randu( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
y = negalucasf( x[ i % x.length ] );
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
Original file line number Diff line number Diff line change
Expand Up @@ -22,7 +22,7 @@

var resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var randu = require( '@stdlib/random/array/discrete-uniform' );
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;
Expand All @@ -43,7 +43,7 @@ bench( pkg+'::native', opts, function benchmark( b ) {
var y;
var i;

x = randu( 100, -34, 0 );
x = discreteUniform( 100, -34, 0 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
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Original file line number Diff line number Diff line change
Expand Up @@ -46,51 +46,51 @@
var v;
var i;

t.strictEqual( isnanf( negalucasf( 3.14 ) ), true, 'returns NaN' );
t.strictEqual( isnanf( negalucasf( 3.14 ) ), true, 'returns expected value' );

for ( i = 1; i < 100; i++ ) {
v = negalucasf( i );
t.strictEqual( isnanf( v ), true, 'returns NaN when provided ' + i );
t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
}
t.end();
});

tape( 'if provided negative infinity, the function returns `NaN`', function test( t ) {
var v = negalucasf( NINF );
t.strictEqual( isnanf( v ), true, 'returns NaN when provided -infinity' );
t.strictEqual( isnanf( v ), true, 'returns expected value' );
t.end();
});

tape( 'if provided `NaN`, the function returns `NaN`', function test( t ) {
var v = negalucasf( NaN );
t.strictEqual( isnanf( v ), true, 'returns NaN when provided a NaN' );
t.strictEqual( isnanf( v ), true, 'returns expected value' );
t.end();
});

tape( 'if provided a non-integer, the function returns `NaN`', function test( t ) {
var v = negalucasf( -3.14 );
t.strictEqual( isnanf( v ), true, 'returns NaN' );
t.strictEqual( isnanf( v ), true, 'returns expected value' );
t.end();
});

tape( 'the function returns the nth negaLucas number', function test( t ) {

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Unknown word: "nega"
var v;
var i;
for ( i = 0; i > -35; i-- ) {
v = negalucasf( i );
t.strictEqual( v, NEGALUCAS[ absf(i) ], 'returns the '+i+'th negaLucas number' );

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Unknown word: "nega"
}
t.end();
});

tape( 'the function returns the nth negaLucas number (Lucas relationship)', function test( t ) {

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Unknown word: "nega"
var v;
var f;
var i;
for ( i = 0; i > -35; i-- ) {
v = negalucasf( i );
f = pow( -1.0, absf(i) ) * lucas( absf(i) );
t.strictEqual( v, f, 'returns the '+i+'th negaLucas number' );

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Unknown word: "nega"
}
t.end();
});
Expand All @@ -100,7 +100,7 @@
var v;
for ( i = -35; i > -500; i-- ) {
v = negalucasf( i );
t.strictEqual( isnanf( v ), true, 'returns NaN when provided ' + i );
t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
}
t.end();
});
Original file line number Diff line number Diff line change
Expand Up @@ -56,29 +56,29 @@

for ( i = 1; i < 100; i++ ) {
v = negalucasf( i );
t.strictEqual( isnanf( v ), true, 'returns NaN when provided ' + i );
t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
}
t.end();
});

tape( 'the function returns the nth negaLucas number', opts, function test( t ) {

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Unknown word: "nega"
var v;
var i;
for ( i = 0; i > -35; i-- ) {
v = negalucasf( i );
t.strictEqual( v, NEGALUCAS[ absf( i ) ], 'returns the '+i+'th negaLucas number' );

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Unknown word: "nega"
}
t.end();
});

tape( 'the function returns the nth negaLucas number (Lucas relationship)', opts, function test( t ) {

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Unknown word: "nega"
var v;
var f;
var i;
for ( i = 0; i > -35; i-- ) {
v = negalucasf( i );
f = pow( -1.0, absf(i) ) * lucas( absf(i) );
t.strictEqual( v, f, 'returns the '+i+'th negaLucas number' );

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}
t.end();
});
Expand All @@ -88,7 +88,7 @@
var v;
for ( i = -35; i > -500; i-- ) {
v = negalucasf( i );
t.strictEqual( isnanf( v ), true, 'returns NaN when provided ' + i );
t.strictEqual( isnanf( v ), true, 'returns expected value when provided ' + i );
}
t.end();
});