mirror of
https://git.code.sf.net/p/quake/quakeforge
synced 2024-11-26 06:10:56 +00:00
e2d812ab6a
It's implemented as the Hodge dual, which is probably reasonable until people complain. Both ⋆ and ! are supported, though the former is a little hard to see in Consola.
269 lines
6.8 KiB
R
269 lines
6.8 KiB
R
#include "test-harness.h"
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#pragma warn no-vararg-integer
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typedef @algebra(double(2,0,1)) PGA;
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typedef PGA.group_mask(0x02) scalar_t;
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typedef PGA.group_mask(0x04) vector_t;
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typedef PGA.group_mask(0x01) bivector_t;
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typedef PGA.group_mask(0x08) trivector_t;
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typedef union {
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PGA.group_mask(0x03) mvec;
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struct {
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bivector_t bvec;
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scalar_t scalar;
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};
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} evengrades_t;
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typedef union {
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PGA.group_mask(0x0c) mvec;
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struct {
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vector_t vec;
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trivector_t tvec;
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};
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} oddgrades_t;
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int
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main (void)
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{
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if (sizeof (scalar_t) != sizeof (double)) {
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printf ("scalar has wrong size: %d\n", sizeof (scalar_t));
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return 1;
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}
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if (sizeof (vector_t) != 3 * sizeof (scalar_t)) {
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printf ("bivector has wrong size: %d\n", sizeof (vector_t));
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return 1;
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}
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if (sizeof (bivector_t) != 3 * sizeof (scalar_t)) {
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printf ("bivector has wrong size: %d\n", sizeof (bivector_t));
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return 1;
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}
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if (sizeof (trivector_t) != sizeof (scalar_t)) {
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printf ("trivector has wrong size: %d\n", sizeof (trivector_t));
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return 1;
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}
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scalar_t scalar;
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vector_t vec, vecb;
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bivector_t bvec, bvecb;
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trivector_t tvec, tvecb;
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@algebra (PGA) {
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scalar = 42;
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vec = 3*e1 - 2*e2 + e0;
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bvec = 4*e20 - 3*e01 + 2*e12;
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tvec = 7*e012;
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vecb = 5*e1 + 12*e2 - 13*e0;
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bvecb = 6*e20 + 4*e01 + 1*e12;
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tvecb = 3*e012;
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}
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if (scalar != 42) {
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printf ("scalar != 42: %g\n", scalar);
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return 1;
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}
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if ((dvec3)vec != '3 -2 1'd) {
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printf ("vec != '3 -2 1': %lv\n", vec);
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return 1;
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}
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if ((dvec3)bvec != '4 -3 2'd) {
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printf ("vec != '4 -3 2': %lv\n", bvec);
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return 1;
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}
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if ((double)tvec != 7) {
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printf ("tvec != 7: %g\n", tvec);
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return 1;
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}
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auto a = vec ∧ bvec;
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if ((double)a != 20) {
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printf ("vec ∧ bvec != 20: %lv\n", a);
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return 1;
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}
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auto b = bvec ∧ vec;
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if ((double)b != 20) {
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printf ("bvec ∧ vec != 20: %lv\n", b);
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return 1;
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}
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auto c = vec • bvec;
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if ((dvec3)c != '4 6 1'd) {
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printf ("vec • bvec != '4 6 1': %lv\n", c);
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return 1;
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}
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auto d = bvec • vec;
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if ((dvec3)d != '-4 -6 -1'd) {
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printf ("bvec • vec != '-4 -6 -1': %lv\n", d);
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return 1;
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}
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oddgrades_t e;
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e.mvec = vec * bvec;
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if ((dvec3)e.vec != '4 6 1'd || (scalar_t)e.tvec != 20) {
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printf ("vec • bvec != '4 6 1' + 20: %lv %g\n", e.vec, e.tvec);
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return 1;
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}
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oddgrades_t f;
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f.mvec = bvec * vec;
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if ((dvec3)f.vec != '-4 -6 -1'd || (scalar_t)f.tvec != 20) {
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printf ("bvec • vec != '-4 -6 -1' + 20: %lv %g\n", f.vec, f.tvec);
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return 1;
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}
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if (vec ∧ tvec || tvec ∧ vec) {
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printf ("didn't get 0: %g %g", vec ∧ tvec, tvec ∧ vec);
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return 0;
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}
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auto g = vec • tvec;
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if ((dvec3)g != '21 -14 0'd) {
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printf ("vec • tvec != '21 -14 0': %lv\n", g);
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return 1;
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}
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auto h = tvec • vec;
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if ((dvec3)h != '21 -14 0'd) {
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printf ("vec • tvec != '21 -14 0': %lv\n", h);
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return 1;
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}
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auto i = vec * tvec;
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if ((dvec3)i != '21 -14 0'd) {
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printf ("vec * tvec != '21 -14 0': %lv\n", i);
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return 1;
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}
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auto j = tvec * vec;
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if ((dvec3)j != '21 -14 0'd) {
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printf ("vec * tvec != '21 -14 0': %lv\n", j);
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return 1;
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}
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if (bvec ∧ tvec || tvec ∧ bvec) {
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printf ("didn't get 0: %g %g", bvec ∧ tvec, tvec ∧ bvec);
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return 0;
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}
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auto k = bvec • tvec;
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if ((dvec3)k != '0 0 -14'd) {
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printf ("bvec • tvec != '0 0 -14': %lv\n", k);
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return 1;
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}
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auto l = tvec • bvec;
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if ((dvec3)l != '0 0 -14'd) {
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printf ("tvec • bvec != '0 0 -14': %lv\n", l);
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return 1;
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}
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auto m = bvec * tvec;
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if ((dvec3)m != '0 0 -14'd) {
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printf ("bvec * tvec != '0 0 -14': %lv\n", m);
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return 1;
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}
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auto n = tvec * bvec;
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if ((dvec3)n != '0 0 -14'd) {
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printf ("tvec * bvec != '0 0 -14': %lv\n", n);
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return 1;
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}
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// if (vec ∧ vec || bvec ∧ bvec || tvec ∧ tvec) {
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// printf ("didn't get 0: %g %g %g", vec ∧ vec, bvec ∧ bvec, tvec ∧ tvec);
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// return 0;
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// }
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auto o = vec ∧ vecb;
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if ((dvec3)o != '14 44 46'd) {
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printf ("vec ∧ vecb != '14 44 46': %lv\n", o);
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return 1;
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}
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auto p = vecb ∧ vec;
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if ((dvec3)p != '-14 -44 -46'd) {
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printf ("vecb ∧ vec != '-14 -44 -46': %lv\n", p);
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return 1;
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}
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auto q = vec • vecb;
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if (q != -9) {
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printf ("vec • vecb != -9: %g\n", q);
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return 1;
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}
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auto r = vecb • vec;
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if (r != -9) {
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printf ("vecb • vec != -9: %g\n", r);
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return 1;
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}
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evengrades_t s;
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s.mvec= vec * vecb;
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if (s.scalar != -9 || (dvec3)s.bvec != '14 44 46'd) {
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printf ("vec * vecb != -9, '14 44 46': %g %lv\n",
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s.scalar, s.bvec);
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return 1;
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}
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evengrades_t t;
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t.mvec = vecb * vec;
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if (t.scalar != -9 || (dvec3)t.bvec != '-14 -44 -46'd) {
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printf ("vecb * vec != -9, '-14 -44 -46': %g %lv\n",
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t.scalar, t.bvec);
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return 1;
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}
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if (bvec ∧ bvecb || tvec ∧ tvecb) {
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printf ("didn't get 0: %g %g", bvec ∧ bvecb, tvec ∧ tvecb);
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return 0;
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}
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auto u = bvec • bvecb;
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if (u != -2) {
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printf ("bvec • bvecb != -2: %g\n", u);
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return 1;
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}
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auto v = bvecb • bvec;
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if (v != -2) {
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printf ("bvecb • bvec != -2: %g\n", v);
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return 1;
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}
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evengrades_t w;
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w.mvec = bvec * bvecb;
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if (w.scalar != -2 || (dvec3)w.bvec != '11 -8 0'd) {
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printf ("bvec * bvecb != -2, '11 -8 0': %g %lv\n",
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w.scalar, w.bvec);
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return 1;
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}
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evengrades_t x;
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x.mvec = bvecb * bvec;
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if (x.scalar != -2 || (dvec3)x.bvec != '-11 8 0'd) {
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printf ("vecb * vec != -2, '-11 8 0': %g %lv\n",
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x.scalar, x.bvec);
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return 1;
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}
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if (tvec • tvecb || tvec * tvecb) {
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printf ("didn't get 0: %g %g", tvec • tvecb, tvec * tvecb);
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return 0;
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}
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e.mvec = e.mvec†; // odd
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if ((dvec3)e.vec != '4 6 1'd || (scalar_t)e.tvec != -20) {
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printf ("odd† != '4 6 1' + -20: %lv %g\n", e.vec, e.tvec);
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return 1;
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}
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s.mvec = s.mvec†; // even
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if (s.scalar != -9 || (dvec3)s.bvec != '-14 -44 -46'd) {
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printf ("even† != -9, '-14 -44 -46': %g %lv\n",
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s.scalar, s.bvec);
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return 1;
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}
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e.mvec = e.mvec / 2; // odd
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if ((dvec3)e.vec != '2 3 0.5'd || (scalar_t)e.tvec != -10) {
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printf ("odd† != '2 3 0.5' + -10: %lv %g\n", e.vec, e.tvec);
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return 1;
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}
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s.mvec = s.mvec / 2; // even
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if (s.scalar != -4.5 || (dvec3)s.bvec != '-7 -22 -23'd) {
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printf ("even† != -4.5, '-7 -22 -23': %g %lv\n",
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s.scalar, s.bvec);
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return 1;
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}
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e.mvec = -e.mvec; // odd
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if ((dvec3)e.vec != '-2 -3 -0.5'd || (scalar_t)e.tvec != 10) {
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printf ("odd† != '-2 -3 -0.5' + 10: %lv %g\n", e.vec, e.tvec);
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return 1;
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}
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s.mvec = -s.mvec; // even
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if (s.scalar != 4.5 || (dvec3)s.bvec != '7 22 23'd) {
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printf ("even† != 4.5, '7 22 23': %g %lv\n",
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s.scalar, s.bvec);
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return 1;
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}
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evengrades_t dual_e;
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dual_e.mvec = ⋆e.mvec; // test both dual operators
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if ((dvec3)dual_e.bvec != '-2 -3 -0.5'd || dual_e.scalar != 10) {
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printf ("⋆odd != '-2 -3 -0.5' + 10: %lv %g\n", e.vec, e.tvec);
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return 1;
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}
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oddgrades_t dual_s;
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dual_s.mvec = !s.mvec; // test both dual operators
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if ((scalar_t)dual_s.tvec != 4.5 || (dvec3)dual_s.vec != '7 22 23'd) {
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printf ("!even != 4.5, '7 22 23': %g %lv\n",
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s.scalar, s.bvec);
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return 1;
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}
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return 0; // to survive and prevail :)
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}
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