static Scheme_Object *fx_abs(int argc, Scheme_Object *argv[])
{
Scheme_Object *o;
if (!SCHEME_INTP(argv[0])) scheme_wrong_contract("fxabs", "fixnum?", 0, argc, argv);
o = scheme_abs(argc, argv);
if (!SCHEME_INTP(o)) scheme_non_fixnum_result("fxabs", o);
return o;
}
static Scheme_Object *unsafe_fx_abs(int argc, Scheme_Object *argv[])
{
intptr_t v;
if (scheme_current_thread->constant_folding) return scheme_abs(argc, argv);
v = SCHEME_INT_VAL(argv[0]);
if (v < 0) v = -v;
return scheme_make_integer(v);
}
Scheme_Object *scheme_complex_divide(const Scheme_Object *_n, const Scheme_Object *_d)
{
Scheme_Complex *cn = (Scheme_Complex *)_n;
Scheme_Complex *cd = (Scheme_Complex *)_d;
Scheme_Object *den, *r, *i, *a, *b, *c, *d, *cm, *dm, *aa[1];
int swap;
if ((cn->r == zero) && (cn->i == zero))
return zero;
a = cn->r;
b = cn->i;
c = cd->r;
d = cd->i;
/* Check for exact-zero simplifications in d: */
if (c == zero) {
i = scheme_bin_minus(zero, scheme_bin_div(a, d));
r = scheme_bin_div(b, d);
return scheme_make_complex(r, i);
} else if (d == zero) {
r = scheme_bin_div(a, c);
i = scheme_bin_div(b, c);
return scheme_make_complex(r, i);
}
if (!SCHEME_FLOATP(c) && !SCHEME_FLOATP(d)) {
/* The simple way: */
cm = scheme_bin_plus(scheme_bin_mult(c, c),
scheme_bin_mult(d, d));
r = scheme_bin_div(scheme_bin_plus(scheme_bin_mult(c, a),
scheme_bin_mult(d, b)),
cm);
i = scheme_bin_div(scheme_bin_minus(scheme_bin_mult(c, b),
scheme_bin_mult(d, a)),
cm);
return scheme_make_complex(r, i);
}
if (scheme_is_zero(d)) {
/* This is like dividing by a real number, except that
the inexact 0 imaginary part can interact with +inf.0 and +nan.0 */
r = scheme_bin_plus(scheme_bin_div(a, c),
/* Either 0.0 or +nan.0: */
scheme_bin_mult(d, b));
i = scheme_bin_minus(scheme_bin_div(b, c),
/* Either 0.0 or +nan.0: */
scheme_bin_mult(d, a));
return scheme_make_complex(r, i);
}
if (scheme_is_zero(c)) {
r = scheme_bin_plus(scheme_bin_div(b, d),
/* Either 0.0 or +nan.0: */
scheme_bin_mult(c, a));
i = scheme_bin_minus(scheme_bin_mult(c, b), /* either 0.0 or +nan.0 */
scheme_bin_div(a, d));
return scheme_make_complex(r, i);
}
aa[0] = c;
cm = scheme_abs(1, aa);
aa[0] = d;
dm = scheme_abs(1, aa);
if (scheme_bin_lt(cm, dm)) {
cm = a;
a = b;
b = cm;
cm = c;
c = d;
d = cm;
swap = 1;
} else
swap = 0;
r = scheme_bin_div(c, d);
den = scheme_bin_plus(d, scheme_bin_mult(c, r));
if (swap)
i = scheme_bin_div(scheme_bin_minus(a, scheme_bin_mult(b, r)), den);
else
i = scheme_bin_div(scheme_bin_minus(scheme_bin_mult(b, r), a), den);
r = scheme_bin_div(scheme_bin_plus(b, scheme_bin_mult(a, r)), den);
return scheme_make_complex(r, i);
}