gsl-complex-js

complex numbers for JS via GNU Scientific Library. The original C code was transpiled to JS via emscripten.

Installation

Via npm:

npm install gsl-complex

To use it inside node:

var complex = require("gsl-complex");

API

See https://www.gnu.org/software/gsl/manual/html_node/Complex-Numbers.html for a description of the following functions. The prefix gsl_complex_ was removed from the original function definitions. For example, while in C you would call gsl_complex_abs() to retrieve the magnitude of the complex number, the function is exported simply as abs().

Example:

var x = complex.rect(3,2);
complex.abs(x);

Output:

3.605551275463989

Complex numbers

| Function | Parameters | Description | | ------------- | ----- | ----------- | | rect | (real, imag) | creates a complex number, real+i*imag | | polar | (r, theta) | creates a complex number in polar form, r e^(i theta) |

Two following getter and setter functions have been defined for the complex number object:

| Function | Parameters | Description | | ------------- | ----- | ----------- | | get_real | | retrieves the real part | | get_imag | | retrieves the imaginary part | | set_real | x | sets the real part equal to x | | set_imag | y | sets the imaginary part equal to y |

Properties of complex numbers

| Function | | ------------- | | arg | | abs | | abs2 | | logabs |

Complex arithmetic operators

| Function | | ------------- | | add | | sub | | mul | | div | | add_real | | sub_real | | mul_real | | div_real | | add_imag | | sub_imag | | mul_imag | | div_imag | | conjugate | | inverse | | negative |

Elementary Complex Functions

| Function | | ------------- | | sqrt | | sqrt_real | | pow | | pow_real | | exp | | log | | log10 | | log_b | | conjugate | | inverse | | negative |

Complex Trigonometric Functions

| Function | | ------------- | | sin | | cos | | sec | | csc | | tan | | cot |

Inverse Complex Trigonometric Functions

| Function | | ------------- | | arcsin | | arcsin_real | | arccos | | arccos_real | | arcsec | | arcsec_real | | arccsc | | arccsc_real | | arctan | | arccot |

Complex Hyperbolic Functions

| Function | | ------------- | | sinh | | cosh | | sech | | csch | | tanh | | coth | | arcsinh | | arccosh | | arccosh_real | | arcsech | | arccsch | | arctanh | | arctanh_real | | arccoth |