# SRC/slu_dcomplex.h File Reference

Header file for complex operations. More...

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## Data Structures
struct | doublecomplex
## Defines
#define | z_add(c, a, b)
| Complex Addition c = a + b.
#define | z_sub(c, a, b)
| Complex Subtraction c = a - b.
#define | zd_mult(c, a, b)
| Complex-Double Multiplication.
#define | zz_mult(c, a, b)
| Complex-Complex Multiplication.
#define | zz_conj(a, b)
#define | z_eq(a, b) ( (a)->r == (b)->r && (a)->i == (b)->i )
| Complex equality testing.
## Functions
void | z_div (doublecomplex *, doublecomplex *, doublecomplex *)
| Complex Division c = a/b.
double | z_abs (doublecomplex *)
| Returns sqrt(z.r^2 + z.i^2).
double | z_abs1 (doublecomplex *)
| Approximates the abs. Returns abs(z.r) + abs(z.i).
void | z_exp (doublecomplex *, doublecomplex *)
| Return the exponentiation.
void | d_cnjg (doublecomplex *r, doublecomplex *z)
| Return the complex conjugate.
double | d_imag (doublecomplex *)
| Return the imaginary part.
doublecomplex | z_sgn (doublecomplex *)
| SIGN functions for complex number. Returns z/abs(z).
doublecomplex | z_sqrt (doublecomplex *)
| Square-root of a complex number.

## Detailed Description

      -- SuperLU routine (version 2.0) --
     Univ. of California Berkeley, Xerox Palo Alto Research Center,
     and Lawrence Berkeley National Lab.
     November 15, 1997

     Contains definitions for various complex operations.
     This header file is to be included in source files z*.c

## Define Documentation

#define z_add | ( | c,
|  | a,
|  | b |  | ) |

Value:

    { (c)->r = (a)->r + (b)->r; \
                             (c)->i = (a)->i + (b)->i; }

#define z_eq | ( | a,
|  | b |  | ) | ( (a)->r == (b)->r && (a)->i == (b)->i )

#define z_sub | ( | c,
|  | a,
|  | b |  | ) |

Value:

    { (c)->r = (a)->r - (b)->r; \
                             (c)->i = (a)->i - (b)->i; }

#define zd_mult | ( | c,
|  | a,
|  | b |  | ) |

Value:

    { (c)->r = (a)->r * (b); \
                               (c)->i = (a)->i * (b); }

#define zz_conj | ( | a,
|  | b |  | ) |

Value:

    { \
            (a)->r = (b)->r; \
            (a)->i = -((b)->i); \
        }

#define zz_mult | ( | c,
|  | a,
|  | b |  | ) |

Value:

    { \
            double cr, ci; \
            cr = (a)->r * (b)->r - (a)->i * (b)->i; \
            ci = (a)->i * (b)->r + (a)->r * (b)->i; \
            (c)->r = cr; \
            (c)->i = ci; \
        }

## Function Documentation

void d_cnjg | ( | doublecomplex * | r,
|  | doublecomplex * | z |
| ) |  |  |

double d_imag | ( | doublecomplex * |  | ) |

double z_abs | ( | doublecomplex * |  | ) |

double z_abs1 | ( | doublecomplex * |  | ) |

void z_div | ( | doublecomplex * | ,
|  | doublecomplex * | ,
|  | doublecomplex * |  |
| ) |  |  |

void z_exp | ( | doublecomplex * | ,
|  | doublecomplex * |  |
| ) |  |  |

doublecomplex z_sgn | ( | doublecomplex * |  | ) |

doublecomplex z_sqrt | ( | doublecomplex * |  | ) |