cmul man page on DigitalUNIX

```complex(3)							    complex(3)

NAME
csin, ccos, cdiv, cexp, clog, cmul, cpow, csqrt - Complex functions

SYNOPSIS
#include <math.h>

double_complex csin(
double x,
double y ); float_complex csinf(
float x,
float y ); double_complex ccos(
double x,
double y ); float_complex ccosf(
float x,
float y ); double_complex cdiv(
double a,
double b,
double c,
double d ); float_complex cdivf(
float a,
float b,
float c,
float d ); double_complex cexp(
double x,
double y ); float_complex cexpf(
float x,
float y ); double_complex clog(
double x,
double y ); float_complex clogf(
float x,
float y ); double_complex cmul(
double a,
double b,
double c,
double d ); float_complex cmulf(
float a,
float b,
float c,
float d ); double_complex cpow(
double a,
double b,
double c,
double d ); float_complex cpowf(
float a,
float b,
float c,
float d ); double_complex csqrt(
double x,
double y ); float_complex csqrtf(
float x,
float y );

LIBRARY
Math Library (libm)

DESCRIPTION
These functions can only be called from languages that support the dou‐
ble_complex and float_complex data types.

csin() and csinf() compute the sine of a complex number.

ccos() and ccosf() return the cosine of a complex number.

cdiv()  and  cdivf()  return  the  quotient  of	two  complex  numbers:
(a+ib)/(c+id).

cexp() and cexpf() return the exponential of a complex number.

clog() and clogf() return the natural logarithm of a complex number.

cmul()	and  cmulf()  return  the  product  of	two  complex  numbers.
cmul(a,b,c,d) is equivalent to (a + ib) * (c + id).

cpow() and cpowf() raise a complex base (a + ib) to a complex  exponent
(c + id). cpow(a,b,c,d) is equivalent to e**((c + id) ln(a + ib)).

csqrt()	and  csqrtf() compute the square root of a complex number, x +
iy. The real part of csqrt is greater than or equal to zero.

─────────────────────────────────────────────────────────────────────
Function			 Exceptional Argument	   Routine Behavior
─────────────────────────────────────────────────────────────────────
csin(), csinf()		 |y| = infinity		   invalid argument
csin(), csinf()		 (sinh	x   sin	  y)   >   overflow
max_float
csin(), csinf()		 (cosh	 x   cos   y)  >   overflow
max_float
ccos(), ccosf()		 |y| = infinity		   invalid argument
ccos(), ccosf()		 (sin  x   sinh	  y)   >   overflow
max_float
ccos(), ccosf()		 (cos	x   cosh   y)  >   overflow
max_float
cdiv(), cdivf()		 c=0 and d=0		   divide by zero
cdiv(), cdivf()		 a=b=c=d=0		   invalid argument
cexp(), cexpf()		 |y| = infinity		   invalid argument
cexp(), cexpf()		 |e**x	  cos	 y|    >   overflow
max_float
cexp(), cexpf()		 |e**x	  sin	 y|    >   overflow
max_float
cexp(), cexpf()		 |e**x	  cos	 y|    <   underflow
min_float
cexp(), cexpf()		 |e**x	  sin	 y|    <   underflow
min_float
clog(), clogf()		 y=0 and x=0		   invalid argument
clog(), clogf()		 |x| = |y| = infinity	   invalid argument
cpow(), cpowf()		 sqrt(a**2  +  b**2)   >   overflow
max_float
cpow(), cpowf()		 c/2 * ln(a**2 + b**2) >   overflow
max_float
cpow(), cpowf()		 c/2 * ln(a**2 + b**2) -   overflow
(d   *	  atan2(b,c))  >
max_float
─────────────────────────────────────────────────────────────────────

────────────────────────────────────────────────────────────────────
Value Name   Data Type	Hexadecimal Value   Decimal Value
────────────────────────────────────────────────────────────────────
max_float    F_FLOAT	FFFF7FFF	    1.701411e38
G_FLOAT	FFFFFFFFFFFF7FFF    8.988465674311579e307
S_FLOAT	7F7FFFFF	    3.402823e38
T_FLOAT	7FEFFFFFFFFFFFFF    1.797693134862316e308
min_float    F_FLOAT	00000080	    2.9387359e-39
G_FLOAT	0000000000000010    5.562684646268003e-309
S_FLOAT	00000001	    1.4012985e-45
T_FLOAT	0000000000000001    4.940656458412465e-324
────────────────────────────────────────────────────────────────────

cabs(3)

complex(3)
```
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