@stdlib/math-base-special-kernel-tan
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Compute the tangent of a double-precision floating-point number on [-π/4, π/4].
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Compute the tangent of a double-precision floating-point number on
[-π/4, π/4].
npm install @stdlib/math-base-special-kernel-tan
var kernelTan = require( '@stdlib/math-base-special-kernel-tan' );
Computes the tangent of a double-precision floating-point number on [-π/4, π/4].
var out = kernelTan( 3.141592653589793/4.0, 0.0, 1 );
// returns ~1.0
out = kernelTan( 3.141592653589793/6.0, 0.0, 1 );
// returns ~0.577
out = kernelTan( 0.664, 5.288e-17, 1 );
// returns ~0.783
If k = 1, the function returns tan(x+y). To return the negative inverse -1/tan(x+y), set k = -1.
var out = kernelTan( 3.141592653589793/4.0, 0.0, -1 );
// returns ~-1.0
If either x or y is NaN, the function returns NaN.
var out = kernelTan( NaN, 0.0, 1 );
// returns NaN
out = kernelTan( 3.0, NaN, 1 );
// returns NaN
out = kernelTan( NaN, NaN, 1 );
// returns NaN
For increased accuracy, the number for which the tangent should be evaluated can be supplied as a double-double number (i.e., a non-evaluated sum of two double-precision floating-point numbers x and y).
As components of a double-double number, the two double-precision floating-point numbers x and y must satisfy
where ulp stands for units in the last place.
var linspace = require( '@stdlib/array-base-linspace' );
var binomial = require( '@stdlib/random-base-binomial' ).factory;
var PI = require( '@stdlib/constants-float64-pi' );
var kernelTan = require( '@stdlib/math-base-special-kernel-tan' );
var x = linspace( -PI/4.0, PI/4.0, 100 );
var rbinom = binomial( 1, 0.5 );
var descr;
var i;
var k;
for ( i = 0; i < x.length; i++ ) {
k = rbinom();
descr = ( k === 1 ) ? 'tan(%d) = %d' : '-1/tan(%d) = %d';
console.log( descr, x[ i ], kernelTan( x[ i ], 0.0, k ) );
}
#include "stdlib/math/base/special/kernel_tan.h"
Computes the tangent of a double-precision floating-point number on [-π/4, π/4].
double out = stdlib_base_kernel_tan( 3.141592653589793/4.0, 0.0, 1 );
// returns ~1.0
out = stdlib_base_kernel_tan( 3.141592653589793/6.0, 0.0, 1 );
// returns ~0.577
The function accepts the following arguments:
[in] double input value (in radians, assumed to be bounded by ~pi/4 in magnitude).[in] double tail of x.[in] int32_t indicates whether tan(x+y) (if k = 1) or -1/tan(x+y) (if k = -1) is returned.double stdlib_base_kernel_tan( const double x, const double y, const int32_t k );
x and y).#include "stdlib/math/base/special/kernel_tan.h"
#include <stdio.h>
int main( void ) {
const double x[] = { -0.7853981633974483, -0.6108652381980153, -0.4363323129985824, -0.26179938779914946, -0.08726646259971649, 0.08726646259971649, 0.26179938779914935, 0.43633231299858233, 0.6108652381980153, 0.7853981633974483 };
double out;
int i;
for ( i = 0; i < 10; i++ ) {
out = stdlib_base_kernel_tan( x[ i ], 0.0, 1 );
printf( "tan(%lf) = %lf\n", x[ i ], out );
}
}
@stdlib/math-base/special/kernel-cos: compute the cosine of a number on [-π/4, π/4].@stdlib/math-base/special/kernel-sin: compute the sine of a number on [-π/4, π/4].@stdlib/math-base/special/tan: evaluate the tangent of a number.This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
Copyright © 2016-2023. The Stdlib Authors.
0.1.1 (2023-10-09)
No changes reported for this release.
</section> <!-- /.release --> <section class="release" id="v0.1.0">FAQs
Compute the tangent of a double-precision floating-point number on [-π/4, π/4].
We found that @stdlib/math-base-special-kernel-tan demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 0 open source maintainers collaborating on the project.
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