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[qfcc] Write tests for 3d PGA dot products 

And fix the bugs that were uncovered.
This commit is contained in:
Bill Currie 2023-08-29 21:13:12 +09:00
parent c42aaea060
commit a01cbd56fd
2 changed files with 209 additions and 39 deletions
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60
tools/qfcc/source/expr_algebra.c
View File

@ -351,7 +351,7 @@ pga3_x_y_z_w_dot_yz_zx_xy (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
auto vtype = vector_type (stype, 3);
auto dot_type = algebra_mvec_type (alg, 0x01);
auto va = offset_cast (vtype, a, 0);
c[2] = cross_expr (dot_type, b, va);
c[0] = new_extend_expr (cross_expr (vtype, b, va), dot_type, 0, false);
}
static void
@ -375,7 +375,6 @@ pga3_x_y_z_w_dot_wxyz (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
c[5] = new_extend_expr (cv, algebra_mvec_type (alg, 0x20), 0, false);
}
#define pga3_wzy_wxz_wyx_xyz_dot_x_y_z_w pga3_x_y_z_w_dot_wzy_wxz_wyx_xyz
static void
pga3_x_y_z_w_dot_wzy_wxz_wyx_xyz (expr_t **c, expr_t *a, expr_t *b,
algebra_t *alg)
@ -397,8 +396,8 @@ pga3_yz_zx_xy_dot_x_y_z_w (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
auto stype = alg->type;
auto vtype = vector_type (stype, 3);
auto dot_type = algebra_mvec_type (alg, 0x01);
auto vb = offset_cast (vtype, a, 0);
c[2] = cross_expr (dot_type, a, vb);
auto vb = offset_cast (vtype, b, 0);
c[0] = new_extend_expr (cross_expr (vtype, vb, a), dot_type, 0, false);
}
static void
@ -408,7 +407,6 @@ pga3_yz_zx_xy_dot_yz_zx_xy (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
c[2] = unary_expr ('-', dot_expr (dot_type, a, b));
}
#define pga3_wxyz_dot_yz_zx_xy pga3_yz_zx_xy_dot_wxyz
static void
pga3_yz_zx_xy_dot_wxyz (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
{
@ -419,7 +417,6 @@ pga3_yz_zx_xy_dot_wxyz (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
c[3] = scale_expr (bmtype, va, unary_expr ('-', sb));
}
#define pga3_wzy_wxz_wyx_xyz_dot_yz_zx_xy pga3_yz_zx_xy_dot_wzy_wxz_wyx_xyz
static void
pga3_yz_zx_xy_dot_wzy_wxz_wyx_xyz (expr_t **c, expr_t *a, expr_t *b,
algebra_t *alg)
@ -443,8 +440,8 @@ pga3_wx_wy_wz_dot_x_y_z_w (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
{
auto stype = alg->type;
auto vtype = vector_type (stype, 3);
auto va = offset_cast (vtype, a, 0);
auto cs = dot_expr (stype, b, va);
auto vb = offset_cast (vtype, b, 0);
auto cs = dot_expr (stype, a, vb);
c[0] = new_extend_expr (cs, algebra_mvec_type (alg, 0x01), 0, true);
}
@ -459,6 +456,16 @@ pga3_wxyz_dot_x_y_z_w (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
c[5] = scale_expr (dot_type, vb, sa);
}
static void
pga3_wxyz_dot_yz_zx_xy (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
{
auto stype = alg->type;
auto bmtype = algebra_mvec_type (alg, 0x08);
auto sa = offset_cast (stype, a, 0);
auto vb = offset_cast (bmtype, b, 0);
c[3] = scale_expr (bmtype, vb, unary_expr ('-', sa));
}
static void
pga3_wxyz_dot_wzy_wxz_wyx_xyz (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
{
@ -470,12 +477,45 @@ pga3_wxyz_dot_wzy_wxz_wyx_xyz (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
c[0] = new_extend_expr (cs, algebra_mvec_type (alg, 0x01), 0, true);
}
static void
pga3_wzy_wxz_wyx_xyz_dot_x_y_z_w (expr_t **c, expr_t *a, expr_t *b,
algebra_t *alg)
{
auto stype = alg->type;
auto vtype = vector_type (stype, 3);
auto bvtype = algebra_mvec_type (alg, 0x02);
auto bmtype = algebra_mvec_type (alg, 0x08);
auto sa = offset_cast (stype, a, 3);
auto va = offset_cast (vtype, a, 0);
auto vb = offset_cast (vtype, b, 0);
c[1] = scale_expr (bvtype, vb, sa);
c[3] = cross_expr (bmtype, va, vb);
}
static void
pga3_wzy_wxz_wyx_xyz_dot_yz_zx_xy (expr_t **c, expr_t *a, expr_t *b,
algebra_t *alg)
{
auto stype = alg->type;
auto vtype = vector_type (stype, 3);
auto dot_type = algebra_mvec_type (alg, 0x01);
auto va = offset_cast (vtype, a, 0);
auto sa = offset_cast (stype, a, 3);
auto cv = scale_expr (vtype, b, sa);
auto cs = dot_expr (stype, b, va);
c[0] = sum_expr (dot_type, '-', new_extend_expr (cs, dot_type, 0, true),
new_extend_expr (cv, dot_type, 0, false));
}
static void
pga3_wzy_wxz_wyx_xyz_dot_wxyz (expr_t **c, expr_t *a, expr_t *b, algebra_t *alg)
{
auto stype = alg->type;
auto sa = offset_cast (stype, a, 0);
auto sb = offset_cast (stype, b, 3);
auto sa = offset_cast (stype, a, 3);
auto sb = offset_cast (stype, b, 0);
auto cs = scale_expr (stype, sa, sb);
c[0] = new_extend_expr (cs, algebra_mvec_type (alg, 0x01), 0, true);
}

188
tools/qfcc/test/pga3d.r
View File

@ -27,36 +27,9 @@ typedef union {
};
} oddgrades_t;
int
main (void)
static int
test_wedge (void)
{
if (sizeof (scalar_t) != sizeof (float)) {
printf ("scalar has wrong size: %d\n", sizeof (scalar_t));
return 1;
}
if (sizeof (vector_t) != 4 * sizeof (scalar_t)) {
printf ("bivector has wrong size: %d\n", sizeof (vector_t));
return 1;
}
// the pair of vec3s in a bivector have an alignment of 4
if (sizeof (bivector_t) != 8 * sizeof (scalar_t)) {
printf ("bivector has wrong size: %d\n", sizeof (bivector_t));
return 1;
}
if (sizeof (bivector_t) != sizeof (PGA.group_mask(0x0a))) {
printf ("bivector group has wrong size: %d\n",
sizeof (PGA.group_mask(0x0a)));
return 1;
}
if (sizeof (trivector_t) != 4 * sizeof (scalar_t)) {
printf ("trivector has wrong size: %d\n", sizeof (trivector_t));
return 1;
}
if (sizeof (quadvector_t) != sizeof (scalar_t)) {
printf ("quadvector has wrong size: %d\n", sizeof (quadvector_t));
return 1;
}
scalar_t scalar;
vector_t vec, vecb, vecc, vecd;
bivector_t bvec, bvecb;
@ -147,6 +120,163 @@ main (void)
printf ("(vecd ∧ vecc) ∧ a != 742': %g\n", (scalar_t) c);
return 1;
}
return 0;
}
static int
test_dot (void)
{
scalar_t scalar;
vector_t vec, vecb, vecc, vecd;
bivector_t bvec, bvecb;
trivector_t tvec, tvecb;
quadvector_t qvec, qvecb;
@algebra (PGA) {
scalar = 42;
vec = 3*e1 - 2*e2 + 4*e3 + e0;
bvec.bvec = -3*e01 + 5*e02 + 7*e03 + 11*e23 - 4*e31 + 2*e12;
tvec = 1*e032 + 4*e013 + 7*e021 - 2*e123;
qvec = 8*e0123;
vecb = 5*e1 + 12*e2 - 13*e0;
bvecb.bvec = 6*e20 + 4*e01 + 1*e12;
tvecb = 3*e032;
qvecb = 1*e0123;
vecc = 5*e1 + 4*e2 - 3*e3 + 4*e0;
vecd = e1 + e2 + e3 + e0;
}
if (qvec • qvecb != 0) {
printf ("(qvec • qvecb) != 0': %g\n", qvec • qvecb);
return 1;
}
auto a = tvec • qvec;
if ((vec4)a != '0 0 0 -16') {
printf ("vec • vecb != '0 0 0 -16': %v\n", a);
return 1;
}
bivector_t b = { .mom = bvec.bvec • qvec };
if ((vec3)b.dir != '0 0 0' || (vec3)b.mom != '-88 32 -16') {
printf ("bvec • qvec != '0 0 0' '-88 32 -16': %v %v\n", b.dir, b.mom);
return 1;
}
auto c = vec • qvec;
if ((vec4)c != '24 -16 32 0') {
printf ("vec • qvec != '24 -16 32 0': %v\n", c);
return 1;
}
a = bvec.bvec • tvec;
if ((vec4)a != '22 -8 4 9') {
printf ("bvec • tvec != '22 -8 4 9': %v\n", a);
return 1;
}
b.bvec = vec • tvec;
if ((vec3)b.dir != '-6 4 -8' || (vec3)b.mom != '30 17 -14') {
printf ("vec • tvec != '-6 4 -8' '30 17 -14': %v %v\n", b.dir, b.mom);
return 1;
}
if (bvec.bvec • bvec.bvec != -141) {
printf ("(bvec • bvec) != -141': %g\n", bvec.bvec • bvec.bvec);
return 1;
}
a = vec • bvec.bvec;
if ((vec4)a != '-12 -38 -10 -9') {
printf ("vec • bvec != '-12 -38 -10 -9': %v\n", a);
return 1;
}
if (vec • vecb != -9) {
printf ("(vec • vecb) != -9': %g\n", vec • vecb);
return 1;
}
a = qvec • tvec;
if ((vec4)a != '0 0 0 16') {
printf ("vec • vecb != '0 0 0 16': %v\n", a);
return 1;
}
b.dir = nil;//FIXME allow bvec = mom
b.mom = qvec • bvec.bvec;
if ((vec3)b.dir != '0 0 0' || (vec3)b.mom != '-88 32 -16') {
printf ("qvec • bvec != '0 0 0' '-88 32 -16': %v %v\n", b.dir, b.mom);
return 1;
}
c = qvec • vec;
if ((vec4)c != '-24 16 -32 0') {
printf ("vec • qvec != '-24 16 -32 0': %v\n", c);
return 1;
}
a = tvec • bvec.bvec;
if ((vec4)a != '22 -8 4 9') {
printf ("tvec • vec != '22 -8 4 9': %v\n", a);
return 1;
}
b.bvec = tvec • vec;
if ((vec3)b.dir != '-6 4 -8' || (vec3)b.mom != '30 17 -14') {
printf ("tvec • vec != '-6 4 -8' '30 17 -14': %v %v\n", b.dir, b.mom);
return 1;
}
a = bvec.bvec • vec;
if ((vec4)a != '12 38 10 9') {
printf ("bvec • vec != '12 38 10 9': %q\n", a);
return 1;
}
return 0;
}
int
main (void)
{
if (sizeof (scalar_t) != sizeof (float)) {
printf ("scalar has wrong size: %d\n", sizeof (scalar_t));
return 1;
}
if (sizeof (vector_t) != 4 * sizeof (scalar_t)) {
printf ("bivector has wrong size: %d\n", sizeof (vector_t));
return 1;
}
// the pair of vec3s in a bivector have an alignment of 4
if (sizeof (bivector_t) != 8 * sizeof (scalar_t)) {
printf ("bivector has wrong size: %d\n", sizeof (bivector_t));
return 1;
}
if (sizeof (bivector_t) != sizeof (PGA.group_mask(0x0a))) {
printf ("bivector group has wrong size: %d\n",
sizeof (PGA.group_mask(0x0a)));
return 1;
}
if (sizeof (trivector_t) != 4 * sizeof (scalar_t)) {
printf ("trivector has wrong size: %d\n", sizeof (trivector_t));
return 1;
}
if (sizeof (quadvector_t) != sizeof (scalar_t)) {
printf ("quadvector has wrong size: %d\n", sizeof (quadvector_t));
return 1;
}
if (test_wedge ()) {
printf ("wedge products failed\n");
return 1;
}
if (test_dot ()) {
printf ("dot products failed\n");
return 1;
}
return 0; // to survive and prevail :)
}