Complex Numbers

Complex numbers. More...

Collaboration diagram for Complex Numbers:

Files
file	complex.h

Data Structures
struct	bn_complex

Macros
#define	bn_cx_copy(ap, bp)   {*(ap) = *(bp);}
#define	bn_cx_neg(cp)   { (cp)->re = -((cp)->re);(cp)->im = -((cp)->im);}
#define	bn_cx_real(cp)   (cp)->re
#define	bn_cx_imag(cp)   (cp)->im
#define	bn_cx_add(ap, bp)   { (ap)->re += (bp)->re; (ap)->im += (bp)->im;}
#define	bn_cx_ampl(cp)   hypot((cp)->re, (cp)->im)
#define	bn_cx_amplsq(cp)   ((cp)->re * (cp)->re + (cp)->im * (cp)->im)
#define	bn_cx_conj(cp)   { (cp)->im = -(cp)->im; }
#define	bn_cx_cons(cp, r, i)   { (cp)->re = r; (cp)->im = i; }
#define	bn_cx_phas(cp)   atan2((cp)->im, (cp)->re)
#define	bn_cx_scal(cp, s)   { (cp)->re *= (s); (cp)->im *= (s); }
#define	bn_cx_sub(ap, bp)   { (ap)->re -= (bp)->re; (ap)->im -= (bp)->im;}
#define	bn_cx_mul(ap, bp)
#define	bn_cx_mul2(ap, bp, cp)

Typedefs
typedef struct bn_complex	bn_complex_t

Functions
void	bn_cx_div (bn_complex_t *ap, const bn_complex_t *bp)
	Divide one complex by another. More...
void	bn_cx_sqrt (bn_complex_t *op, const bn_complex_t *ip)
	Compute square root of complex number. More...

Detailed Description

Complex numbers.

Macro Definition Documentation

bn_cx_copy

#define bn_cx_copy	(		ap,
			bp
	)		{*(ap) = *(bp);}

Definition at line 45 of file complex.h.

bn_cx_neg

#define bn_cx_neg

(

cp

)

{ (cp)->re = -((cp)->re);(cp)->im = -((cp)->im);}

Definition at line 46 of file complex.h.

bn_cx_real

#define bn_cx_real

(

cp

)

(cp)->re

Definition at line 47 of file complex.h.

bn_cx_imag

#define bn_cx_imag

(

cp

)

(cp)->im

Definition at line 48 of file complex.h.

bn_cx_add

#define bn_cx_add	(		ap,
			bp
	)		{ (ap)->re += (bp)->re; (ap)->im += (bp)->im;}

Definition at line 50 of file complex.h.

bn_cx_ampl

#define bn_cx_ampl

(

cp

)

hypot((cp)->re, (cp)->im)

Definition at line 51 of file complex.h.

bn_cx_amplsq

#define bn_cx_amplsq

(

cp

)

((cp)->re * (cp)->re + (cp)->im * (cp)->im)

Definition at line 52 of file complex.h.

bn_cx_conj

#define bn_cx_conj

(

cp

)

{ (cp)->im = -(cp)->im; }

Definition at line 53 of file complex.h.

bn_cx_cons

#define bn_cx_cons	(		cp,
			r,
			i
	)		{ (cp)->re = r; (cp)->im = i; }

Definition at line 54 of file complex.h.

bn_cx_phas

#define bn_cx_phas

(

cp

)

atan2((cp)->im, (cp)->re)

Definition at line 55 of file complex.h.

bn_cx_scal

#define bn_cx_scal	(		cp,
			s
	)		{ (cp)->re *= (s); (cp)->im *= (s); }

Definition at line 56 of file complex.h.

bn_cx_sub

#define bn_cx_sub	(		ap,
			bp
	)		{ (ap)->re -= (bp)->re; (ap)->im -= (bp)->im;}

Definition at line 57 of file complex.h.

bn_cx_mul

#define bn_cx_mul	(		ap,
			bp
	)

Value:

    { register fastf_t a__re, b__re; \
        (ap)->re = ((a__re=(ap)->re)*(b__re=(bp)->re)) - (ap)->im*(bp)->im; \
        (ap)->im = a__re*(bp)->im + (ap)->im*b__re; }

Definition at line 59 of file complex.h.

bn_cx_mul2

#define bn_cx_mul2	(		ap,
			bp,
			cp
	)

Value:

        { \
        (ap)->re = (cp)->re * (bp)->re - (cp)->im * (bp)->im; \
        (ap)->im = (cp)->re * (bp)->im + (cp)->im * (bp)->re; }

Definition at line 65 of file complex.h.

Typedef Documentation

bn_complex_t

typedef struct bn_complex bn_complex_t

"complex number" data type

Function Documentation

bn_cx_div()

void bn_cx_div	(	bn_complex_t *	ap,
		const bn_complex_t *	bp
	)

Divide one complex by another.

bn_cx_div(&a, &b). divides a by b. Zero divisor fails. a and b may coincide. Result stored in a.

bn_cx_sqrt()

void bn_cx_sqrt	(	bn_complex_t *	op,
		const bn_complex_t *	ip
	)

Compute square root of complex number.

bn_cx_sqrt(&out, &c) replaces out by sqrt(c)

Note: This is a double-valued function; the result of bn_cx_sqrt() always has nonnegative imaginary part.