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sse: reduce some instructions in mat4 inv

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Recep Aslantas
2024-04-07 22:33:37 +03:00
parent a7845ffc44
commit 4f00ce0e52
1 changed files with 137 additions and 0 deletions
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137
include/cglm/simd/sse2/mat4.h
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@@ -295,6 +295,8 @@ glm_mat4_inv_fast_sse2(mat4 mat, mat4 dest) {
glmm_store(dest[3], _mm_mul_ps(v3, x0));
}
/* old one */
#if 0
CGLM_INLINE
void
glm_mat4_inv_sse2(mat4 mat, mat4 dest) {
@@ -431,6 +433,141 @@ glm_mat4_inv_sse2(mat4 mat, mat4 dest) {
glmm_store(dest[2], _mm_mul_ps(v2, x0));
glmm_store(dest[3], _mm_mul_ps(v3, x0));
}
#endif
CGLM_INLINE
void
glm_mat4_inv_sse2(mat4 mat, mat4 dest) {
__m128 r0, r1, r2, r3, s1, s2,
v0, v1, v2, v3, v4, v5,
t0, t1, t2,
x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13;
/* s1 = _mm_set_ps(-0.f, 0.f, -0.f, 0.f); */
s1 = glmm_float32x4_SIGNMASK_NPNP;
s2 = glmm_shuff1(s1, 2, 1, 2, 1);
/* 127 <- 0 */
r1 = glmm_load(mat[1]); /* h g f e */
r0 = glmm_load(mat[0]); /* d c b a */
r3 = glmm_load(mat[3]); /* p o n m */
r2 = glmm_load(mat[2]); /* l k j i */
x4 = _mm_unpackhi_ps(r0, r2); /* l d k c */
x5 = _mm_unpacklo_ps(r0, r2); /* j b i a */
x6 = _mm_unpackhi_ps(r1, r3); /* p h o g */
x7 = _mm_unpacklo_ps(r1, r3); /* n f m e */
x0 = _mm_unpackhi_ps(x7, x5); /* j n b f */
x1 = _mm_unpacklo_ps(x7, x5); /* i m a e */
x2 = _mm_unpackhi_ps(x6, x4); /* l p d h */
x3 = _mm_unpacklo_ps(x6, x4); /* k o c g */
/* c2 = c * h - d * g c12 = a * g - c * e c8 = a * f - b * e
c1 = k * p - l * o c11 = i * o - k * m c7 = i * n - j * m
c4 = a * h - d * e c6 = b * h - d * f c10 = b * g - c * f
c3 = i * p - l * m c5 = j * p - l * n c9 = j * o - k * n */
x8 = _mm_shuffle_ps(x0, x3, _MM_SHUFFLE(3, 1, 3, 1)); /* k c j b */
x9 = _mm_shuffle_ps(x0, x3, _MM_SHUFFLE(2, 0, 2, 0)); /* o g n f */
x10 = glmm_shuff1(x2, 2, 0, 2, 0); /* p h p h */
x11 = glmm_shuff1(x2, 3, 1, 3, 1); /* l d l d */
#if 1 /* TODO measure both */
x12 = _mm_shuffle_ps(x4, x5, _MM_SHUFFLE(1, 0, 1, 0)); /* i a k c */
x13 = _mm_shuffle_ps(x6, x7, _MM_SHUFFLE(1, 0, 1, 0)); /* m e o g */
#else
x12 = _mm_movelh_ps(x4, x5); /* i a k c */
x13 = _mm_movelh_ps(x6, x7); /* m e o g */
#endif
t0 = _mm_mul_ps(x12, x10);
t1 = _mm_mul_ps(x5, x6);
t2 = _mm_mul_ps(x5, x9);
t0 = glmm_fnmadd(x11, x13, t0);
t1 = glmm_fnmadd(x4, x7, t1);
t2 = glmm_fnmadd(x8, x7, t2);
/* det */
/* v0: c3 * c10 + c4 * c9 + c1 * c8 + c2 * c7 */
/* v1: c5 * c12 + c6 * c11 */
v5 = _mm_set1_ps(1.0f);
v0 = glmm_shuff1(t2, 2, 3, 0, 1);
v1 = glmm_shuff1(t1, 0, 1, 2, 3);
v0 = _mm_mul_ps(t0, v0);
v1 = _mm_mul_ps(t1, v1);
v2 = glmm_shuff1(v1, 1, 0, 0, 1);
v3 = glmm_shuff1(v0, 0, 1, 2, 3);
v1 = _mm_add_ps(v1, v2);
v0 = _mm_add_ps(v0, v3);
v2 = glmm_shuff1(v0, 1, 0, 0, 1);
v0 = _mm_add_ps(v0, v2);
v0 = _mm_sub_ps(v0, v1); /* det */
v0 = _mm_div_ps(v5, v0); /* idt */
/* multiply t0,t1,t2 by idt to reduce 1mul below: 2eor+4mul vs 3mul+4eor */
t0 = _mm_mul_ps(t0, v0);
t1 = _mm_mul_ps(t1, v0);
t2 = _mm_mul_ps(t2, v0);
v0 = glmm_shuff1(t0, 0, 0, 1, 1); /* c2 c2 c1 c1 */
v1 = glmm_shuff1(t0, 2, 2, 3, 3); /* c4 c4 c3 c3 */
v2 = glmm_shuff1(t1, 0, 0, 1, 1); /* c12 c12 c11 c11 */
v3 = glmm_shuff1(t1, 2, 2, 3, 3); /* c6 c6 c5 c5 */
v4 = glmm_shuff1(t2, 0, 0, 1, 1); /* c8 c8 c7 c7 */
v5 = glmm_shuff1(t2, 2, 2, 3, 3); /* c10 c10 c9 c9 */
/* result */
/* dest[0][0] = (f * c1 - g * c5 + h * c9) * idt;
dest[0][1] = (b * c1 - c * c5 + d * c9) * ndt;
dest[0][2] = (n * c2 - o * c6 + p * c10) * idt;
dest[0][3] = (j * c2 - k * c6 + l * c10) * ndt;
dest[1][0] = (e * c1 - g * c3 + h * c11) * ndt;
dest[1][1] = (a * c1 - c * c3 + d * c11) * idt;
dest[1][2] = (m * c2 - o * c4 + p * c12) * ndt;
dest[1][3] = (i * c2 - k * c4 + l * c12) * idt;
dest[2][0] = (e * c5 - f * c3 + h * c7) * idt;
dest[2][1] = (a * c5 - b * c3 + d * c7) * ndt;
dest[2][2] = (m * c6 - n * c4 + p * c8) * idt;
dest[2][3] = (i * c6 - j * c4 + l * c8) * ndt;
dest[3][0] = (e * c9 - f * c11 + g * c7) * ndt;
dest[3][1] = (a * c9 - b * c11 + c * c7) * idt;
dest[3][2] = (m * c10 - n * c12 + o * c8) * ndt;
dest[3][3] = (i * c10 - j * c12 + k * c8) * idt; */
r0 = _mm_mul_ps(x0, v0);
r1 = _mm_mul_ps(x1, v0);
r2 = _mm_mul_ps(x1, v3);
r3 = _mm_mul_ps(x1, v5);
r0 = glmm_fnmadd(x3, v3, r0);
r1 = glmm_fnmadd(x3, v1, r1);
r2 = glmm_fnmadd(x0, v1, r2);
r3 = glmm_fnmadd(x0, v2, r3);
r0 = glmm_fmadd(x2, v5, r0);
r1 = glmm_fmadd(x2, v2, r1);
r2 = glmm_fmadd(x2, v4, r2);
r3 = glmm_fmadd(x3, v4, r3);
/* 4xor may be fastart then 4mul, see above */
r0 = _mm_xor_ps(r0, s1);
r1 = _mm_xor_ps(r1, s2);
r2 = _mm_xor_ps(r2, s1);
r3 = _mm_xor_ps(r3, s2);
glmm_store(dest[0], r0);
glmm_store(dest[1], r1);
glmm_store(dest[2], r2);
glmm_store(dest[3], r3);
}
#endif
#endif /* cglm_mat_sse_h */