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@stdlib/math-base-special-kernel-tan

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  • License Apache-2.0

Compute the tangent of a double-precision floating-point number on [-π/4, π/4].

Package Exports

  • @stdlib/math-base-special-kernel-tan
  • @stdlib/math-base-special-kernel-tan/dist
  • @stdlib/math-base-special-kernel-tan/dist/index.js
  • @stdlib/math-base-special-kernel-tan/lib/index.js

This package does not declare an exports field, so the exports above have been automatically detected and optimized by JSPM instead. If any package subpath is missing, it is recommended to post an issue to the original package (@stdlib/math-base-special-kernel-tan) to support the "exports" field. If that is not possible, create a JSPM override to customize the exports field for this package.

Readme

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kernelTan

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Compute the tangent of a double-precision floating-point number on [-π/4, π/4].

Installation

npm install @stdlib/math-base-special-kernel-tan

Usage

var kernelTan = require( '@stdlib/math-base-special-kernel-tan' );

kernelTan( x, y, k )

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

Notes

Examples

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 ) );
}

C APIs

Usage

#include "stdlib/math/base/special/kernel_tan.h"

stdlib_base_kernel_tan( x, y, k)

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:

  • x: [in] double input value (in radians, assumed to be bounded by ~pi/4 in magnitude).
  • y: [in] double tail of x.
  • k: [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 );

Notes

Examples

#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 );
    }
}

See Also

Notice

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.

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