cpython/Modules/cmathmodule.c

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1996-01-11 21:34:57 -04:00
/* Complex math module */
/* much code borrowed from mathmodule.c */
#include "allobjects.h"
#include "complexobject.h"
#include <errno.h>
#include "mymath.h"
#ifdef i860
/* Cray APP has bogus definition of HUGE_VAL in <math.h> */
#undef HUGE_VAL
#endif
#ifdef HUGE_VAL
#define CHECK(x) if (errno != 0) ; \
else if (-HUGE_VAL <= (x) && (x) <= HUGE_VAL) ; \
else errno = ERANGE
#else
#define CHECK(x) /* Don't know how to check */
#endif
#ifndef M_PI
#define M_PI (3.141592653589793239)
#endif
/* First, the C functions that do the real work */
/* constants */
static complex c_1 = {1., 0.};
static complex c_half = {0.5, 0.};
static complex c_i = {0., 1.};
static complex c_i2 = {0., 0.5};
static complex c_mi = {0., -1.};
static complex c_pi2 = {M_PI/2., 0.};
/* forward declarations */
complex c_log();
complex c_prodi();
complex c_sqrt();
complex c_acos(x)
complex x;
{
return c_neg(c_prodi(c_log(c_sum(x,c_prod(c_i,
c_sqrt(c_diff(c_1,c_prod(x,x))))))));
}
complex c_acosh(x)
complex x;
{
return c_log(c_sum(x,c_prod(c_i,
c_sqrt(c_diff(c_1,c_prod(x,x))))));
}
complex c_asin(x)
complex x;
{
return c_neg(c_prodi(c_log(c_sum(c_prod(c_i,x),
c_sqrt(c_diff(c_1,c_prod(x,x)))))));
}
complex c_asinh(x)
complex x;
{
return c_neg(c_log(c_diff(c_sqrt(c_sum(c_1,c_prod(x,x))),x)));
}
complex c_atan(x)
complex x;
{
return c_prod(c_i2,c_log(c_quot(c_sum(c_i,x),c_diff(c_i,x))));
}
complex c_atanh(x)
complex x;
{
return c_prod(c_half,c_log(c_quot(c_sum(c_1,x),c_diff(c_1,x))));
}
complex c_cos(x)
complex x;
{
complex r;
r.real = cos(x.real)*cosh(x.imag);
r.imag = -sin(x.real)*sinh(x.imag);
return r;
}
complex c_cosh(x)
complex x;
{
complex r;
r.real = cos(x.imag)*cosh(x.real);
r.imag = sin(x.imag)*sinh(x.real);
return r;
}
complex c_exp(x)
complex x;
{
complex r;
double l = exp(x.real);
r.real = l*cos(x.imag);
r.imag = l*sin(x.imag);
return r;
}
complex c_log(x)
complex x;
{
complex r;
double l = hypot(x.real,x.imag);
r.imag = atan2(x.imag, x.real);
r.real = log(l);
return r;
}
complex c_log10(x)
complex x;
{
complex r;
double l = hypot(x.real,x.imag);
r.imag = atan2(x.imag, x.real)/log(10.);
r.real = log10(l);
return r;
}
complex c_prodi(x)
complex x;
{
complex r;
r.real = -x.imag;
r.imag = x.real;
return r;
}
complex c_sin(x)
complex x;
{
complex r;
r.real = sin(x.real)*cosh(x.imag);
r.imag = cos(x.real)*sinh(x.imag);
return r;
}
complex c_sinh(x)
complex x;
{
complex r;
r.real = cos(x.imag)*sinh(x.real);
r.imag = sin(x.imag)*cosh(x.real);
return r;
}
complex c_sqrt(x)
complex x;
{
complex r;
double s,d;
if (x.real == 0. && x.imag == 0.)
r = x;
else {
s = sqrt(0.5*(fabs(x.real) + hypot(x.real,x.imag)));
d = 0.5*x.imag/s;
if (x.real > 0.) {
r.real = s;
r.imag = d;
}
else if (x.imag >= 0.) {
r.real = d;
r.imag = s;
}
else {
r.real = -d;
r.imag = -s;
}
}
return r;
}
complex c_tan(x)
complex x;
{
complex r;
double sr,cr,shi,chi;
double rs,is,rc,ic;
double d;
sr = sin(x.real);
cr = cos(x.real);
shi = sinh(x.imag);
chi = cosh(x.imag);
rs = sr*chi;
is = cr*shi;
rc = cr*chi;
ic = -sr*shi;
d = rc*rc + ic*ic;
r.real = (rs*rc+is*ic)/d;
r.imag = (is*rc-rs*ic)/d;
return r;
}
complex c_tanh(x)
complex x;
{
complex r;
double si,ci,shr,chr;
double rs,is,rc,ic;
double d;
si = sin(x.imag);
ci = cos(x.imag);
shr = sinh(x.real);
chr = cosh(x.real);
rs = ci*shr;
is = si*chr;
rc = ci*chr;
ic = si*shr;
d = rc*rc + ic*ic;
r.real = (rs*rc+is*ic)/d;
r.imag = (is*rc-rs*ic)/d;
return r;
}
/* And now the glue to make them available from Python: */
static object *
math_error()
{
if (errno == EDOM)
err_setstr(ValueError, "math domain error");
else if (errno == ERANGE)
err_setstr(OverflowError, "math range error");
else
err_errno(ValueError); /* Unexpected math error */
return NULL;
}
static object *
math_1(args, func)
object *args;
complex (*func) FPROTO((complex));
{
complex x;
if (!PyArg_ParseTuple(args, "D", &x))
return NULL;
errno = 0;
x = (*func)(x);
CHECK(x.real);
CHECK(x.imag);
if (errno != 0)
return math_error();
else
return newcomplexobject(x);
}
#define FUNC1(stubname, func) \
static object * stubname(self, args) object *self, *args; { \
return math_1(args, func); \
}
FUNC1(cmath_acos, c_acos)
FUNC1(cmath_acosh, c_acosh)
FUNC1(cmath_asin, c_asin)
FUNC1(cmath_asinh, c_asinh)
FUNC1(cmath_atan, c_atan)
FUNC1(cmath_atanh, c_atanh)
FUNC1(cmath_cos, c_cos)
FUNC1(cmath_cosh, c_cosh)
FUNC1(cmath_exp, c_exp)
FUNC1(cmath_log, c_log)
FUNC1(cmath_log10, c_log10)
FUNC1(cmath_sin, c_sin)
FUNC1(cmath_sinh, c_sinh)
FUNC1(cmath_sqrt, c_sqrt)
FUNC1(cmath_tan, c_tan)
FUNC1(cmath_tanh, c_tanh)
static struct methodlist cmath_methods[] = {
{"acos", cmath_acos, 1},
{"acosh", cmath_acosh, 1},
{"asin", cmath_asin, 1},
{"asinh", cmath_asinh, 1},
{"atan", cmath_atan, 1},
{"atanh", cmath_atanh, 1},
{"cos", cmath_cos, 1},
{"cosh", cmath_cosh, 1},
{"exp", cmath_exp, 1},
{"log", cmath_log, 1},
{"log10", cmath_log10, 1},
{"sin", cmath_sin, 1},
{"sinh", cmath_sinh, 1},
{"sqrt", cmath_sqrt, 1},
{"tan", cmath_tan, 1},
{"tanh", cmath_tanh, 1},
{NULL, NULL} /* sentinel */
};
void
initcmath()
{
object *m, *d, *v;
m = Py_InitModule("cmath", cmath_methods);
d = getmoduledict(m);
dictinsert(d, "pi", v = newfloatobject(atan(1.0) * 4.0));
DECREF(v);
dictinsert(d, "e", v = newfloatobject(exp(1.0)));
DECREF(v);
}