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## gsl-complex

# 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 |