complex math
diff --git a/Modules/cmathmodule.c b/Modules/cmathmodule.c
new file mode 100644
index 0000000..506c66a
--- /dev/null
+++ b/Modules/cmathmodule.c
@@ -0,0 +1,314 @@
+/* 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);
+}