Special Functions

Standard library base special math functions.

Usage

var special = require( '@stdlib/math/base/special' );

special

Standard library base special math functions.

var fcns = special;
// returns {...}

Exponential & Logarithmic Functions

Trigonometric Functions

Bessel Functions

  • besselj0( x ): compute the Bessel function of the first kind of order zero.
  • besselj1( x ): compute the Bessel function of the first kind of order one.
  • bessely0( x ): compute the Bessel function of the second kind of order zero.
  • bessely1( x ): compute the Bessel function of the second kind of order one.

Absolute Value and Rounding Functions

  • abs( x ): compute the absolute value of a double-precision floating-point number.
  • abs2( x ): compute the squared absolute value of a double-precision floating-point number.
  • abs2f( x ): compute the squared absolute value of a single-precision floating-point number.
  • absf( x ): compute the absolute value of a single-precision floating-point number.
  • cabs( re, im ): compute an absolute value of a complex number.
  • cabs2( re, im ): compute the squared absolute value of a complex number.
  • cceil( [out,] re, im ): round a complex number toward positive infinity.
  • cceiln( [out,] re, im, n ): round a complex number to the nearest multiple of 10^n toward positive infinity.
  • ceil( x ): round a double-precision floating-point number toward positive infinity.
  • ceil10( x ): round a numeric value to the nearest power of 10 toward positive infinity.
  • ceil2( x ): round a numeric value to the nearest power of two toward positive infinity.
  • ceilb( x, n, b ): round a numeric value to the nearest multiple of b^n toward positive infinity.
  • ceilf( x ): round a single-precision floating-point number toward positive infinity.
  • ceiln( x, n ): round a numeric value to the nearest multiple of 10^n toward positive infinity.
  • ceilsd( x, n[, b] ): round a numeric value to the nearest number toward positive infinity with N significant figures.
  • cfloor( [out,] re, im ): round a complex number toward negative infinity.
  • cfloorn( [out,] re, im, n ): round a complex number to the nearest multiple of 10^n toward negative infinity.
  • clamp( v, min, max ): restrict a double-precision floating-point number to a specified range.
  • clampf( v, min, max ): restrict a single-precision floating-point number to a specified range.
  • cround( [out,] re, im ): round a complex number to the nearest integer.
  • croundn( [out,] re, im, n ): round a complex number to the nearest multiple of 10^n.
  • csignum( [out,] re, im ): evaluate the signum function of a complex number.
  • floor( x ): round a double-precision floating-point number toward negative infinity.
  • floor10( x ): round a numeric value to the nearest power of 10 toward negative infinity.
  • floor2( x ): round a numeric value to the nearest power of two toward negative infinity.
  • floorb( x, n, b ): round a numeric value to the nearest multiple of b^n toward negative infinity.
  • floorf( x ): round a single-precision floating-point numeric value toward negative infinity.
  • floorn( x, n ): round a numeric value to the nearest multiple of 10^n toward negative infinity.
  • floorsd( x, n[, b] ): round a numeric value to the nearest number toward negative infinity with N significant figures.
  • labs( x ): compute an absolute value of a signed 32-bit integer.
  • maxabs( [x[, y[, ...args]]] ): return the maximum absolute value.
  • minabs( [x[, y[, ...args]]] ): return the minimum absolute value.
  • minmaxabs( [out,] x[, y[, ...args]] ): return the minimum and maximum absolute values.
  • round( x ): round a numeric value to the nearest integer.
  • round10( x ): round a numeric value to the nearest power of 10 on a linear scale.
  • round2( x ): round a numeric value to the nearest power of two on a linear scale.
  • roundb( x, n, b ): round a numeric value to the nearest multiple of b^n on a linear scale.
  • roundn( x, n ): round a numeric value to the nearest multiple of 10^n.
  • roundsd( x, n[, b] ): round a numeric value to the nearest number with n significant figures.
  • signum( x ): signum function.
  • signumf( x ): signum function.
  • trunc( x ): round a double-precision floating-point number toward zero.
  • trunc10( x ): round a numeric value to the nearest power of 10 toward zero.
  • trunc2( x ): round a numeric value to the nearest power of two toward zero.
  • truncb( x, n, b ): round a numeric value to the nearest multiple of b^n toward zero.
  • truncf( x ): round a single-precision floating-point number toward zero.
  • truncn( x, n ): round a numeric value to the nearest multiple of 10^n toward zero.
  • truncsd( x, n[, b] ): round a numeric value to the nearest number toward zero with n significant figures.

Other Special Functions

Fast algorithms of various special functions, which trade accuracy for increased speed, are available in the following sub-namespace:

  • fast: standard library fast math special functions.

Finally, the namespace exports the following kernel functions, which are mainly used internally. Beware that they may only be applicable for input values inside a certain number range and/or may not work as expected if not all arguments satisfy the parameter requirements.

Examples

var objectKeys = require( '@stdlib/utils/keys' );
var special = require( '@stdlib/math/base/special' );

console.log( objectKeys( special ) );