Eigenmath/abs.cpp

99 lines
1.3 KiB
C++

// Absolute value, aka vector magnitude
#include "stdafx.h"
#include "defs.h"
void
eval_abs(void)
{
push(cadr(p1));
eval();
absval();
}
void
absval(void)
{
int h;
save();
p1 = pop();
if (istensor(p1)) {
absval_tensor();
restore();
return;
}
if (isnum(p1)) {
push(p1);
if (isnegativenumber(p1))
negate();
restore();
return;
}
if (iscomplexnumber(p1)) {
push(p1);
push(p1);
conjugate();
multiply();
push_rational(1, 2);
power();
restore();
return;
}
// abs(1/a) evaluates to 1/abs(a)
if (car(p1) == symbol(POWER) && isnegativeterm(caddr(p1))) {
push(p1);
reciprocate();
absval();
reciprocate();
restore();
return;
}
// abs(a*b) evaluates to abs(a)*abs(b)
if (car(p1) == symbol(MULTIPLY)) {
h = tos;
p1 = cdr(p1);
while (iscons(p1)) {
push(car(p1));
absval();
p1 = cdr(p1);
}
multiply_all(tos - h);
restore();
return;
}
if (isnegativeterm(p1) || (car(p1) == symbol(ADD) && isnegativeterm(cadr(p1)))) {
push(p1);
negate();
p1 = pop();
}
push_symbol(ABS);
push(p1);
list(2);
restore();
}
void
absval_tensor(void)
{
if (p1->u.tensor->ndim != 1)
stop("abs(tensor) with tensor rank > 1");
push(p1);
push(p1);
conjugate();
inner();
push_rational(1, 2);
power();
simplify();
eval();
}