178 lines
2.4 KiB
C++
178 lines
2.4 KiB
C++
// Change circular functions to exponentials
|
|
|
|
#include "stdafx.h"
|
|
#include "defs.h"
|
|
|
|
void
|
|
eval_circexp(void)
|
|
{
|
|
push(cadr(p1));
|
|
eval();
|
|
|
|
circexp();
|
|
|
|
// normalize
|
|
|
|
eval();
|
|
}
|
|
|
|
void
|
|
circexp(void)
|
|
{
|
|
int i, h;
|
|
save();
|
|
p1 = pop();
|
|
|
|
if (car(p1) == symbol(COS)) {
|
|
push(cadr(p1));
|
|
expcos();
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
if (car(p1) == symbol(SIN)) {
|
|
push(cadr(p1));
|
|
expsin();
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
if (car(p1) == symbol(TAN)) {
|
|
p1 = cadr(p1);
|
|
push(imaginaryunit);
|
|
push(p1);
|
|
multiply();
|
|
exponential();
|
|
p2 = pop();
|
|
push(imaginaryunit);
|
|
push(p1);
|
|
multiply();
|
|
negate();
|
|
exponential();
|
|
p3 = pop();
|
|
push(p3);
|
|
push(p2);
|
|
subtract();
|
|
push(imaginaryunit);
|
|
multiply();
|
|
push(p2);
|
|
push(p3);
|
|
add();
|
|
divide();
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
if (car(p1) == symbol(COSH)) {
|
|
p1 = cadr(p1);
|
|
push(p1);
|
|
exponential();
|
|
push(p1);
|
|
negate();
|
|
exponential();
|
|
add();
|
|
push_rational(1, 2);
|
|
multiply();
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
if (car(p1) == symbol(SINH)) {
|
|
p1 = cadr(p1);
|
|
push(p1);
|
|
exponential();
|
|
push(p1);
|
|
negate();
|
|
exponential();
|
|
subtract();
|
|
push_rational(1, 2);
|
|
multiply();
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
if (car(p1) == symbol(TANH)) {
|
|
p1 = cadr(p1);
|
|
push(p1);
|
|
push_integer(2);
|
|
multiply();
|
|
exponential();
|
|
p1 = pop();
|
|
push(p1);
|
|
push_integer(1);
|
|
subtract();
|
|
push(p1);
|
|
push_integer(1);
|
|
add();
|
|
divide();
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
if (iscons(p1)) {
|
|
h = tos;
|
|
while (iscons(p1)) {
|
|
push(car(p1));
|
|
circexp();
|
|
p1 = cdr(p1);
|
|
}
|
|
list(tos - h);
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
if (p1->k == TENSOR) {
|
|
push(p1);
|
|
copy_tensor();
|
|
p1 = pop();
|
|
for (i = 0; i < p1->u.tensor->nelem; i++) {
|
|
push(p1->u.tensor->elem[i]);
|
|
circexp();
|
|
p1->u.tensor->elem[i] = pop();
|
|
}
|
|
push(p1);
|
|
restore();
|
|
return;
|
|
}
|
|
|
|
push(p1);
|
|
restore();
|
|
}
|
|
|
|
#if SELFTEST
|
|
|
|
static char *s[] = {
|
|
|
|
"circexp(cos(x))",
|
|
"1/2*exp(-i*x)+1/2*exp(i*x)",
|
|
|
|
"circexp(sin(x))",
|
|
"1/2*i*exp(-i*x)-1/2*i*exp(i*x)",
|
|
|
|
"circexp(tan(x))",
|
|
"i*exp(-i*x)/(exp(-i*x)+exp(i*x))-i*exp(i*x)/(exp(-i*x)+exp(i*x))",
|
|
|
|
"circexp(cosh(x))",
|
|
"1/2*exp(x)+1/2*exp(-x)",
|
|
|
|
"circexp(sinh(x))",
|
|
"1/2*exp(x)-1/2*exp(-x)",
|
|
|
|
"circexp(tanh(x))",
|
|
"-1/(1+exp(2*x))+exp(2*x)/(1+exp(2*x))",
|
|
|
|
"circexp((cos(x),sin(x)))",
|
|
"(1/2*exp(-i*x)+1/2*exp(i*x),1/2*i*exp(-i*x)-1/2*i*exp(i*x))",
|
|
|
|
"circexp(cos(x)*sin(x))-expcos(x)*expsin(x)",
|
|
"0",
|
|
};
|
|
|
|
void
|
|
test_circexp(void)
|
|
{
|
|
test(__FILE__, s, sizeof s / sizeof (char *));
|
|
}
|
|
|
|
#endif
|