complex.h File Reference

(v16)

Helpers for complex number arithemetic with mpfr. More...

#include <mpfr.h>

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Data Structures
struct	C
	Complex number type. More...

Macros
#define	c_set_prec(o, p)
	Set the precision of both parts of a complex number.
#define	c_set(o, l)
	Set both parts of a complex number.
#define	c_mag2(o, l, t1, t2)
	Compute complex magnitude squared.
#define	c_add(o, l, r)
	Add two complex numbers.
#define	c_sqr(o, l, t1, t2, t3)
	Square a complex number.
#define	c_mul(o, l, r, t1, t2, t3, t4)
	Multiply two complex numbers.
#define	c_mul_2ui(o, l, r)
	Multiply a complex number by a power of two.

Typedefs
typedef mpfr_t	R
	Real number type.

Detailed Description

Helpers for complex number arithemetic with mpfr.

All variables must already be mpfr_init2()d with appropriate precision. Implemented as CPP macros as a last resort (the C++ version used reference parameters).

Definition in file complex.h.

---

Data Structure Documentation

struct C

Complex number type.

Definition at line 27 of file complex.h.

Data Fields
R	x	Real part.
R	y	Imaginary part.

Macro Definition Documentation

#define c_add	(		o,
			l,
			r
	)

Value:

do{\
  mpfr_add(o.x, l.x, r.x, MPFR_RNDN);\
  mpfr_add(o.y, l.y, r.y, MPFR_RNDN);\
}while(0)

Add two complex numbers.

Parameters

o	The complex number for output.
l	The first complex number input.
r	The second complex number input.

Definition at line 75 of file complex.h.

Referenced by fpxx_approx_do().

#define c_mag2	(		o,
			l,
			t1,
			t2
	)

Value:

do{\
  mpfr_sqr(t1, l.x, MPFR_RNDN);\
  mpfr_sqr(t2, l.y, MPFR_RNDN);\
  mpfr_add(o, t1, t2, MPFR_RNDN);\
}while(0)

Compute complex magnitude squared.

Parameters

o	The real number for output.
l	The complex number input.
t1	A real temporary variable.
t2	A real temporary variable.

Definition at line 62 of file complex.h.

Referenced by fpxx_approx_do().

#define c_mul	(		o,
			l,
			r,
			t1,
			t2,
			t3,
			t4
	)

Value:

do{\
  mpfr_mul(t1, l.x, r.x, MPFR_RNDN);\
  mpfr_mul(t2, l.y, r.y, MPFR_RNDN);\
  mpfr_mul(t3, l.x, r.y, MPFR_RNDN);\
  mpfr_mul(t4, l.y, r.x, MPFR_RNDN);\
  mpfr_sub(o.x, t1, t2, MPFR_RNDN);\
  mpfr_add(o.y, t3, t4, MPFR_RNDN);\
}while(0)

Multiply two complex numbers.

Parameters

o	The complex number for output.
l	The first complex number input.
r	The first complex number input.
t1	A real temporary variable.
t2	A real temporary variable.
t3	A real temporary variable.
t4	A real temporary variable.

Definition at line 108 of file complex.h.

Referenced by fpxx_approx_do().

#define c_mul_2ui	(		o,
			l,
			r
	)

Value:

do{\
  mpfr_mul_2ui(o.x, l.x, r, MPFR_RNDN);\
  mpfr_mul_2ui(o.y, l.y, r, MPFR_RNDN);\
}while(0)

Multiply a complex number by a power of two.

Parameters

o	The complex number for output.
l	The complex number input.
r	The unsigned integer power of two.

Definition at line 124 of file complex.h.

Referenced by fpxx_approx_do().

#define c_set	(		o,
			l
	)

Value:

do{\
  mpfr_set(o.x, l.x, MPFR_RNDN);\
  mpfr_set(o.y, l.y, MPFR_RNDN);\
}while(0)

Set both parts of a complex number.

Parameters

o	The complex number to modify.
l	The complex number to use as source.

Definition at line 49 of file complex.h.

Referenced by fpxx_approx_do().

#define c_set_prec	(		o,
			p
	)

Value:

do{\
  mpfr_set_prec(o.x, p);\
  mpfr_set_prec(o.y, p);\
}while(0)

Set the precision of both parts of a complex number.

Parameters

o	The complex number.
p	The precision.

Definition at line 38 of file complex.h.

Referenced by fpxx_approx_do().

#define c_sqr	(		o,
			l,
			t1,
			t2,
			t3
	)

Value:

do{\
  mpfr_sqr(t1, l.x, MPFR_RNDN);\
  mpfr_sqr(t2, l.y, MPFR_RNDN);\
  mpfr_mul(t3, l.x, l.y, MPFR_RNDN);\
  mpfr_sub(o.x, t1, t2, MPFR_RNDN);\
  mpfr_mul_2ui(o.y, t3, 1, MPFR_RNDN);\
}while(0)

Square a complex number.

Parameters

o	The complex number for output.
l	The complex number input.
t1	A real temporary variable.
t2	A real temporary variable.
t3	A real temporary variable.

Definition at line 89 of file complex.h.

Referenced by fpxx_approx_do().

Typedef Documentation

typedef mpfr_t R

Real number type.

Definition at line 22 of file complex.h.