Module VectorMultiply.c

Detailed Description

Multiply two vectors.

Author

J. D. E. Creighton, T. D. Creighton, A. M. Sintes

Let u, v, and w be objects of type COMPLEX8Vector, and let a, b, and c be objects of type REAL4Vector.

The LALCCVectorMultiply( &status, &w, &u, &v ) function computes:
w.data[i]= u.data[i] x v.data[i]

The LALCCVectorMultiplyConjugate( &status, &w, &u, &v ) function computes:
w.data[i]=u.data[i] x v.data[i]*.

The LALCCVectorDivide( &status, &w, &u, &v ) function computes:
w.data[i]= u.data[i] / v.data[i]

The LALSCVectorMultiply( &status, &w, &a, &v ) function computes:
w.data[i]=a.data[i] x v.data[i]

The LALSSVectorMultiply( &status, &c, &a, &b ) function computes:
c.data[i]=a.data[i] x b.data[i]

The double-precison multiply routines (with D or Z names) work similarly.

Algorithm

The algorithm for complex division is described in Sec. 5.4 of Ref. [22] . The formula used is:

\[ \frac{a + ib}{c + id} = \left\{ \begin{array}{ll} \frac{[a + b(d/c)] + i[b - a(d/c)]}{c + d(d/c)} & |c| \ge |d| \\ \frac{[a(c/d) + b] + i[b(c/d) - a]}{c(c/d) + d} & |c| < |d|. \end{array} \right. \]

Prototypes
COMPLEX8Vector *	XLALCCVectorDivide (COMPLEX8Vector *out, const COMPLEX8Vector *in1, const COMPLEX8Vector *in2)
COMPLEX16Vector *	XLALZZVectorDivide (COMPLEX16Vector *out, const COMPLEX16Vector *in1, const COMPLEX16Vector *in2)
COMPLEX8Vector *	XLALCCVectorMultiply (COMPLEX8Vector *out, const COMPLEX8Vector *in1, const COMPLEX8Vector *in2)
COMPLEX16Vector *	XLALZZVectorMultiply (COMPLEX16Vector *out, const COMPLEX16Vector *in1, const COMPLEX16Vector *in2)
COMPLEX8Vector *	XLALCCVectorMultiplyConjugate (COMPLEX8Vector *out, const COMPLEX8Vector *in1, const COMPLEX8Vector *in2)
COMPLEX16Vector *	XLALZZVectorMultiplyConjugate (COMPLEX16Vector *out, const COMPLEX16Vector *in1, const COMPLEX16Vector *in2)
COMPLEX8Vector *	XLALSCVectorMultiply (COMPLEX8Vector *out, const REAL4Vector *in1, const COMPLEX8Vector *in2)
COMPLEX16Vector *	XLALDZVectorMultiply (COMPLEX16Vector *out, const REAL8Vector *in1, const COMPLEX16Vector *in2)
REAL4Vector *	XLALSSVectorMultiply (REAL4Vector *out, const REAL4Vector *in1, const REAL4Vector *in2)
REAL8Vector *	XLALDDVectorMultiply (REAL8Vector *out, const REAL8Vector *in1, const REAL8Vector *in2)
void	LALCCVectorDivide (LALStatus *status, COMPLEX8Vector *out, const COMPLEX8Vector *in1, const COMPLEX8Vector *in2)
	UNDOCUMENTED. More...
void	LALZZVectorDivide (LALStatus *status, COMPLEX16Vector *out, const COMPLEX16Vector *in1, const COMPLEX16Vector *in2)
void	LALCCVectorMultiply (LALStatus *status, COMPLEX8Vector *out, const COMPLEX8Vector *in1, const COMPLEX8Vector *in2)
	UNDOCUMENTED. More...
void	LALZZVectorMultiply (LALStatus *status, COMPLEX16Vector *out, const COMPLEX16Vector *in1, const COMPLEX16Vector *in2)
void	LALCCVectorMultiplyConjugate (LALStatus *status, COMPLEX8Vector *out, const COMPLEX8Vector *in1, const COMPLEX8Vector *in2)
	UNDOCUMENTED. More...
void	LALZZVectorMultiplyConjugate (LALStatus *status, COMPLEX16Vector *out, const COMPLEX16Vector *in1, const COMPLEX16Vector *in2)
void	LALSCVectorMultiply (LALStatus *status, COMPLEX8Vector *out, const REAL4Vector *in1, const COMPLEX8Vector *in2)
	UNDOCUMENTED. More...
void	LALDZVectorMultiply (LALStatus *status, COMPLEX16Vector *out, const REAL8Vector *in1, const COMPLEX16Vector *in2)
void	LALSSVectorMultiply (LALStatus *status, REAL4Vector *out, const REAL4Vector *in1, const REAL4Vector *in2)
	UNDOCUMENTED. More...
void	LALDDVectorMultiply (LALStatus *status, REAL8Vector *out, const REAL8Vector *in1, const REAL8Vector *in2)

Function Documentation

XLALCCVectorDivide()

COMPLEX8Vector * XLALCCVectorDivide	(	COMPLEX8Vector *	out,
		const COMPLEX8Vector *	in1,
		const COMPLEX8Vector *	in2
	)

Definition at line 68 of file VectorMultiply.c.

XLALZZVectorDivide()

COMPLEX16Vector * XLALZZVectorDivide	(	COMPLEX16Vector *	out,
		const COMPLEX16Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 98 of file VectorMultiply.c.

XLALCCVectorMultiply()

COMPLEX8Vector * XLALCCVectorMultiply	(	COMPLEX8Vector *	out,
		const COMPLEX8Vector *	in1,
		const COMPLEX8Vector *	in2
	)

Definition at line 128 of file VectorMultiply.c.

XLALZZVectorMultiply()

COMPLEX16Vector * XLALZZVectorMultiply	(	COMPLEX16Vector *	out,
		const COMPLEX16Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 158 of file VectorMultiply.c.

XLALCCVectorMultiplyConjugate()

COMPLEX8Vector * XLALCCVectorMultiplyConjugate	(	COMPLEX8Vector *	out,
		const COMPLEX8Vector *	in1,
		const COMPLEX8Vector *	in2
	)

Definition at line 188 of file VectorMultiply.c.

XLALZZVectorMultiplyConjugate()

COMPLEX16Vector * XLALZZVectorMultiplyConjugate	(	COMPLEX16Vector *	out,
		const COMPLEX16Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 218 of file VectorMultiply.c.

XLALSCVectorMultiply()

COMPLEX8Vector * XLALSCVectorMultiply	(	COMPLEX8Vector *	out,
		const REAL4Vector *	in1,
		const COMPLEX8Vector *	in2
	)

Definition at line 248 of file VectorMultiply.c.

XLALDZVectorMultiply()

COMPLEX16Vector * XLALDZVectorMultiply	(	COMPLEX16Vector *	out,
		const REAL8Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 277 of file VectorMultiply.c.

XLALSSVectorMultiply()

REAL4Vector * XLALSSVectorMultiply	(	REAL4Vector *	out,
		const REAL4Vector *	in1,
		const REAL4Vector *	in2
	)

Definition at line 307 of file VectorMultiply.c.

XLALDDVectorMultiply()

REAL8Vector * XLALDDVectorMultiply	(	REAL8Vector *	out,
		const REAL8Vector *	in1,
		const REAL8Vector *	in2
	)

Definition at line 337 of file VectorMultiply.c.

LALCCVectorDivide()

void LALCCVectorDivide	(	LALStatus *	status,
		COMPLEX8Vector *	out,
		const COMPLEX8Vector *	in1,
		const COMPLEX8Vector *	in2
	)

UNDOCUMENTED.

Definition at line 377 of file VectorMultiply.c.

LALZZVectorDivide()

void LALZZVectorDivide	(	LALStatus *	status,
		COMPLEX16Vector *	out,
		const COMPLEX16Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 409 of file VectorMultiply.c.

LALCCVectorMultiply()

void LALCCVectorMultiply	(	LALStatus *	status,
		COMPLEX8Vector *	out,
		const COMPLEX8Vector *	in1,
		const COMPLEX8Vector *	in2
	)

UNDOCUMENTED.

Definition at line 442 of file VectorMultiply.c.

LALZZVectorMultiply()

void LALZZVectorMultiply	(	LALStatus *	status,
		COMPLEX16Vector *	out,
		const COMPLEX16Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 474 of file VectorMultiply.c.

LALCCVectorMultiplyConjugate()

void LALCCVectorMultiplyConjugate	(	LALStatus *	status,
		COMPLEX8Vector *	out,
		const COMPLEX8Vector *	in1,
		const COMPLEX8Vector *	in2
	)

UNDOCUMENTED.

Definition at line 506 of file VectorMultiply.c.

LALZZVectorMultiplyConjugate()

void LALZZVectorMultiplyConjugate	(	LALStatus *	status,
		COMPLEX16Vector *	out,
		const COMPLEX16Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 538 of file VectorMultiply.c.

LALSCVectorMultiply()

void LALSCVectorMultiply	(	LALStatus *	status,
		COMPLEX8Vector *	out,
		const REAL4Vector *	in1,
		const COMPLEX8Vector *	in2
	)

UNDOCUMENTED.

Definition at line 570 of file VectorMultiply.c.

LALDZVectorMultiply()

void LALDZVectorMultiply	(	LALStatus *	status,
		COMPLEX16Vector *	out,
		const REAL8Vector *	in1,
		const COMPLEX16Vector *	in2
	)

Definition at line 602 of file VectorMultiply.c.

LALSSVectorMultiply()

void LALSSVectorMultiply	(	LALStatus *	status,
		REAL4Vector *	out,
		const REAL4Vector *	in1,
		const REAL4Vector *	in2
	)

UNDOCUMENTED.

Definition at line 634 of file VectorMultiply.c.

LALDDVectorMultiply()

void LALDDVectorMultiply	(	LALStatus *	status,
		REAL8Vector *	out,
		const REAL8Vector *	in1,
		const REAL8Vector *	in2
	)

Definition at line 666 of file VectorMultiply.c.