/* * Copyright (c), Recep Aslantas. * * MIT License (MIT), http://opensource.org/licenses/MIT * Full license can be found in the LICENSE file */ #ifndef cglm_mat_sse_h #define cglm_mat_sse_h #if defined( __SSE__ ) || defined( __SSE2__ ) #include "../../common.h" #include "../intrin.h" #define glm_mat4_inv_precise_sse2(mat, dest) glm_mat4_inv_sse2(mat, dest) CGLM_INLINE void glm_mat4_scale_sse2(mat4 m, float s) { __m128 x0; x0 = _mm_set1_ps(s); glmm_store(m[0], _mm_mul_ps(glmm_load(m[0]), x0)); glmm_store(m[1], _mm_mul_ps(glmm_load(m[1]), x0)); glmm_store(m[2], _mm_mul_ps(glmm_load(m[2]), x0)); glmm_store(m[3], _mm_mul_ps(glmm_load(m[3]), x0)); } CGLM_INLINE void glm_mat4_transp_sse2(mat4 m, mat4 dest) { __m128 r0, r1, r2, r3; r0 = glmm_load(m[0]); r1 = glmm_load(m[1]); r2 = glmm_load(m[2]); r3 = glmm_load(m[3]); _MM_TRANSPOSE4_PS(r0, r1, r2, r3); glmm_store(dest[0], r0); glmm_store(dest[1], r1); glmm_store(dest[2], r2); glmm_store(dest[3], r3); } CGLM_INLINE void glm_mat4_mul_sse2(mat4 m1, mat4 m2, mat4 dest) { /* D = R * L (Column-Major) */ __m128 l0, l1, l2, l3, r; l0 = glmm_load(m1[0]); l1 = glmm_load(m1[1]); l2 = glmm_load(m1[2]); l3 = glmm_load(m1[3]); r = glmm_load(m2[0]); glmm_store(dest[0], _mm_add_ps(_mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 0), l0), _mm_mul_ps(glmm_shuff1x(r, 1), l1)), _mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 2), l2), _mm_mul_ps(glmm_shuff1x(r, 3), l3)))); r = glmm_load(m2[1]); glmm_store(dest[1], _mm_add_ps(_mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 0), l0), _mm_mul_ps(glmm_shuff1x(r, 1), l1)), _mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 2), l2), _mm_mul_ps(glmm_shuff1x(r, 3), l3)))); r = glmm_load(m2[2]); glmm_store(dest[2], _mm_add_ps(_mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 0), l0), _mm_mul_ps(glmm_shuff1x(r, 1), l1)), _mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 2), l2), _mm_mul_ps(glmm_shuff1x(r, 3), l3)))); r = glmm_load(m2[3]); glmm_store(dest[3], _mm_add_ps(_mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 0), l0), _mm_mul_ps(glmm_shuff1x(r, 1), l1)), _mm_add_ps(_mm_mul_ps(glmm_shuff1x(r, 2), l2), _mm_mul_ps(glmm_shuff1x(r, 3), l3)))); } CGLM_INLINE void glm_mat4_mulv_sse2(mat4 m, vec4 v, vec4 dest) { __m128 x0, x1, x2; x0 = glmm_load(v); x1 = _mm_add_ps(_mm_mul_ps(glmm_load(m[0]), glmm_shuff1x(x0, 0)), _mm_mul_ps(glmm_load(m[1]), glmm_shuff1x(x0, 1))); x2 = _mm_add_ps(_mm_mul_ps(glmm_load(m[2]), glmm_shuff1x(x0, 2)), _mm_mul_ps(glmm_load(m[3]), glmm_shuff1x(x0, 3))); glmm_store(dest, _mm_add_ps(x1, x2)); } CGLM_INLINE float glm_mat4_det_sse2(mat4 mat) { __m128 r0, r1, r2, r3, x0, x1, x2; /* 127 <- 0, [square] det(A) = det(At) */ r0 = glmm_load(mat[0]); /* d c b a */ r1 = glmm_load(mat[1]); /* h g f e */ r2 = glmm_load(mat[2]); /* l k j i */ r3 = glmm_load(mat[3]); /* p o n m */ /* t[1] = j * p - n * l; t[2] = j * o - n * k; t[3] = i * p - m * l; t[4] = i * o - m * k; */ x0 = _mm_sub_ps(_mm_mul_ps(glmm_shuff1(r2, 0, 0, 1, 1), glmm_shuff1(r3, 2, 3, 2, 3)), _mm_mul_ps(glmm_shuff1(r3, 0, 0, 1, 1), glmm_shuff1(r2, 2, 3, 2, 3))); /* t[0] = k * p - o * l; t[0] = k * p - o * l; t[5] = i * n - m * j; t[5] = i * n - m * j; */ x1 = _mm_sub_ps(_mm_mul_ps(glmm_shuff1(r2, 0, 0, 2, 2), glmm_shuff1(r3, 1, 1, 3, 3)), _mm_mul_ps(glmm_shuff1(r3, 0, 0, 2, 2), glmm_shuff1(r2, 1, 1, 3, 3))); /* a * (f * t[0] - g * t[1] + h * t[2]) - b * (e * t[0] - g * t[3] + h * t[4]) + c * (e * t[1] - f * t[3] + h * t[5]) - d * (e * t[2] - f * t[4] + g * t[5]) */ x2 = _mm_sub_ps(_mm_mul_ps(glmm_shuff1(r1, 0, 0, 0, 1), _mm_shuffle_ps(x1, x0, _MM_SHUFFLE(1, 0, 0, 0))), _mm_mul_ps(glmm_shuff1(r1, 1, 1, 2, 2), glmm_shuff1(x0, 3, 2, 2, 0))); x2 = _mm_add_ps(x2, _mm_mul_ps(glmm_shuff1(r1, 2, 3, 3, 3), _mm_shuffle_ps(x0, x1, _MM_SHUFFLE(2, 2, 3, 1)))); x2 = _mm_xor_ps(x2, _mm_set_ps(-0.f, 0.f, -0.f, 0.f)); x0 = _mm_mul_ps(r0, x2); x0 = _mm_add_ps(x0, glmm_shuff1(x0, 0, 1, 2, 3)); x0 = _mm_add_ps(x0, glmm_shuff1(x0, 1, 3, 3, 1)); return _mm_cvtss_f32(x0); } CGLM_INLINE void glm_mat4_inv_fast_sse2(mat4 mat, mat4 dest) { __m128 r0, r1, r2, r3, v0, v1, v2, v3, t0, t1, t2, t3, t4, t5, x0, x1, x2, x3, x4, x5, x6, x7; /* 127 <- 0 */ r0 = glmm_load(mat[0]); /* d c b a */ r1 = glmm_load(mat[1]); /* h g f e */ r2 = glmm_load(mat[2]); /* l k j i */ r3 = glmm_load(mat[3]); /* p o n m */ x0 = _mm_shuffle_ps(r2, r3, _MM_SHUFFLE(3, 2, 3, 2)); /* p o l k */ x1 = glmm_shuff1(x0, 1, 3, 3, 3); /* l p p p */ x2 = glmm_shuff1(x0, 0, 2, 2, 2); /* k o o o */ x0 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(3, 3, 3, 3)); /* h h l l */ x3 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(2, 2, 2, 2)); /* g g k k */ /* t1[0] = k * p - o * l; t1[0] = k * p - o * l; t2[0] = g * p - o * h; t3[0] = g * l - k * h; */ t0 = _mm_sub_ps(_mm_mul_ps(x3, x1), _mm_mul_ps(x2, x0)); x4 = _mm_shuffle_ps(r2, r3, _MM_SHUFFLE(2, 1, 2, 1)); /* o n k j */ x4 = glmm_shuff1(x4, 0, 2, 2, 2); /* j n n n */ x5 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(1, 1, 1, 1)); /* f f j j */ /* t1[1] = j * p - n * l; t1[1] = j * p - n * l; t2[1] = f * p - n * h; t3[1] = f * l - j * h; */ t1 = _mm_sub_ps(_mm_mul_ps(x5, x1), _mm_mul_ps(x4, x0)); /* t1[2] = j * o - n * k t1[2] = j * o - n * k; t2[2] = f * o - n * g; t3[2] = f * k - j * g; */ t2 = _mm_sub_ps(_mm_mul_ps(x5, x2), _mm_mul_ps(x4, x3)); x6 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(0, 0, 0, 0)); /* e e i i */ x7 = glmm_shuff2(r3, r2, 0, 0, 0, 0, 2, 0, 0, 0); /* i m m m */ /* t1[3] = i * p - m * l; t1[3] = i * p - m * l; t2[3] = e * p - m * h; t3[3] = e * l - i * h; */ t3 = _mm_sub_ps(_mm_mul_ps(x6, x1), _mm_mul_ps(x7, x0)); /* t1[4] = i * o - m * k; t1[4] = i * o - m * k; t2[4] = e * o - m * g; t3[4] = e * k - i * g; */ t4 = _mm_sub_ps(_mm_mul_ps(x6, x2), _mm_mul_ps(x7, x3)); /* t1[5] = i * n - m * j; t1[5] = i * n - m * j; t2[5] = e * n - m * f; t3[5] = e * j - i * f; */ t5 = _mm_sub_ps(_mm_mul_ps(x6, x4), _mm_mul_ps(x7, x5)); x0 = glmm_shuff2(r1, r0, 0, 0, 0, 0, 2, 2, 2, 0); /* a a a e */ x1 = glmm_shuff2(r1, r0, 1, 1, 1, 1, 2, 2, 2, 0); /* b b b f */ x2 = glmm_shuff2(r1, r0, 2, 2, 2, 2, 2, 2, 2, 0); /* c c c g */ x3 = glmm_shuff2(r1, r0, 3, 3, 3, 3, 2, 2, 2, 0); /* d d d h */ /* dest[0][0] = f * t1[0] - g * t1[1] + h * t1[2]; dest[0][1] =-(b * t1[0] - c * t1[1] + d * t1[2]); dest[0][2] = b * t2[0] - c * t2[1] + d * t2[2]; dest[0][3] =-(b * t3[0] - c * t3[1] + d * t3[2]); */ v0 = _mm_add_ps(_mm_mul_ps(x3, t2), _mm_sub_ps(_mm_mul_ps(x1, t0), _mm_mul_ps(x2, t1))); v0 = _mm_xor_ps(v0, _mm_set_ps(-0.f, 0.f, -0.f, 0.f)); /* dest[1][0] =-(e * t1[0] - g * t1[3] + h * t1[4]); dest[1][1] = a * t1[0] - c * t1[3] + d * t1[4]; dest[1][2] =-(a * t2[0] - c * t2[3] + d * t2[4]); dest[1][3] = a * t3[0] - c * t3[3] + d * t3[4]; */ v1 = _mm_add_ps(_mm_mul_ps(x3, t4), _mm_sub_ps(_mm_mul_ps(x0, t0), _mm_mul_ps(x2, t3))); v1 = _mm_xor_ps(v1, _mm_set_ps(0.f, -0.f, 0.f, -0.f)); /* dest[2][0] = e * t1[1] - f * t1[3] + h * t1[5]; dest[2][1] =-(a * t1[1] - b * t1[3] + d * t1[5]); dest[2][2] = a * t2[1] - b * t2[3] + d * t2[5]; dest[2][3] =-(a * t3[1] - b * t3[3] + d * t3[5]);*/ v2 = _mm_add_ps(_mm_mul_ps(x3, t5), _mm_sub_ps(_mm_mul_ps(x0, t1), _mm_mul_ps(x1, t3))); v2 = _mm_xor_ps(v2, _mm_set_ps(-0.f, 0.f, -0.f, 0.f)); /* dest[3][0] =-(e * t1[2] - f * t1[4] + g * t1[5]); dest[3][1] = a * t1[2] - b * t1[4] + c * t1[5]; dest[3][2] =-(a * t2[2] - b * t2[4] + c * t2[5]); dest[3][3] = a * t3[2] - b * t3[4] + c * t3[5]; */ v3 = _mm_add_ps(_mm_mul_ps(x2, t5), _mm_sub_ps(_mm_mul_ps(x0, t2), _mm_mul_ps(x1, t4))); v3 = _mm_xor_ps(v3, _mm_set_ps(0.f, -0.f, 0.f, -0.f)); /* determinant */ x0 = _mm_shuffle_ps(v0, v1, _MM_SHUFFLE(0, 0, 0, 0)); x1 = _mm_shuffle_ps(v2, v3, _MM_SHUFFLE(0, 0, 0, 0)); x0 = _mm_shuffle_ps(x0, x1, _MM_SHUFFLE(2, 0, 2, 0)); x0 = _mm_mul_ps(x0, r0); x0 = _mm_add_ps(x0, glmm_shuff1(x0, 0, 1, 2, 3)); x0 = _mm_add_ps(x0, glmm_shuff1(x0, 1, 0, 0, 1)); x0 = _mm_rcp_ps(x0); glmm_store(dest[0], _mm_mul_ps(v0, x0)); glmm_store(dest[1], _mm_mul_ps(v1, x0)); glmm_store(dest[2], _mm_mul_ps(v2, x0)); glmm_store(dest[3], _mm_mul_ps(v3, x0)); } CGLM_INLINE void glm_mat4_inv_sse2(mat4 mat, mat4 dest) { __m128 r0, r1, r2, r3, v0, v1, v2, v3, t0, t1, t2, t3, t4, t5, x0, x1, x2, x3, x4, x5, x6, x7; /* 127 <- 0 */ r0 = glmm_load(mat[0]); /* d c b a */ r1 = glmm_load(mat[1]); /* h g f e */ r2 = glmm_load(mat[2]); /* l k j i */ r3 = glmm_load(mat[3]); /* p o n m */ x0 = _mm_shuffle_ps(r2, r3, _MM_SHUFFLE(3, 2, 3, 2)); /* p o l k */ x1 = glmm_shuff1(x0, 1, 3, 3, 3); /* l p p p */ x2 = glmm_shuff1(x0, 0, 2, 2, 2); /* k o o o */ x0 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(3, 3, 3, 3)); /* h h l l */ x3 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(2, 2, 2, 2)); /* g g k k */ /* t1[0] = k * p - o * l; t1[0] = k * p - o * l; t2[0] = g * p - o * h; t3[0] = g * l - k * h; */ t0 = _mm_sub_ps(_mm_mul_ps(x3, x1), _mm_mul_ps(x2, x0)); x4 = _mm_shuffle_ps(r2, r3, _MM_SHUFFLE(2, 1, 2, 1)); /* o n k j */ x4 = glmm_shuff1(x4, 0, 2, 2, 2); /* j n n n */ x5 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(1, 1, 1, 1)); /* f f j j */ /* t1[1] = j * p - n * l; t1[1] = j * p - n * l; t2[1] = f * p - n * h; t3[1] = f * l - j * h; */ t1 = _mm_sub_ps(_mm_mul_ps(x5, x1), _mm_mul_ps(x4, x0)); /* t1[2] = j * o - n * k t1[2] = j * o - n * k; t2[2] = f * o - n * g; t3[2] = f * k - j * g; */ t2 = _mm_sub_ps(_mm_mul_ps(x5, x2), _mm_mul_ps(x4, x3)); x6 = _mm_shuffle_ps(r2, r1, _MM_SHUFFLE(0, 0, 0, 0)); /* e e i i */ x7 = glmm_shuff2(r3, r2, 0, 0, 0, 0, 2, 0, 0, 0); /* i m m m */ /* t1[3] = i * p - m * l; t1[3] = i * p - m * l; t2[3] = e * p - m * h; t3[3] = e * l - i * h; */ t3 = _mm_sub_ps(_mm_mul_ps(x6, x1), _mm_mul_ps(x7, x0)); /* t1[4] = i * o - m * k; t1[4] = i * o - m * k; t2[4] = e * o - m * g; t3[4] = e * k - i * g; */ t4 = _mm_sub_ps(_mm_mul_ps(x6, x2), _mm_mul_ps(x7, x3)); /* t1[5] = i * n - m * j; t1[5] = i * n - m * j; t2[5] = e * n - m * f; t3[5] = e * j - i * f; */ t5 = _mm_sub_ps(_mm_mul_ps(x6, x4), _mm_mul_ps(x7, x5)); x0 = glmm_shuff2(r1, r0, 0, 0, 0, 0, 2, 2, 2, 0); /* a a a e */ x1 = glmm_shuff2(r1, r0, 1, 1, 1, 1, 2, 2, 2, 0); /* b b b f */ x2 = glmm_shuff2(r1, r0, 2, 2, 2, 2, 2, 2, 2, 0); /* c c c g */ x3 = glmm_shuff2(r1, r0, 3, 3, 3, 3, 2, 2, 2, 0); /* d d d h */ /* dest[0][0] = f * t1[0] - g * t1[1] + h * t1[2]; dest[0][1] =-(b * t1[0] - c * t1[1] + d * t1[2]); dest[0][2] = b * t2[0] - c * t2[1] + d * t2[2]; dest[0][3] =-(b * t3[0] - c * t3[1] + d * t3[2]); */ v0 = _mm_add_ps(_mm_mul_ps(x3, t2), _mm_sub_ps(_mm_mul_ps(x1, t0), _mm_mul_ps(x2, t1))); v0 = _mm_xor_ps(v0, _mm_set_ps(-0.f, 0.f, -0.f, 0.f)); /* dest[1][0] =-(e * t1[0] - g * t1[3] + h * t1[4]); dest[1][1] = a * t1[0] - c * t1[3] + d * t1[4]; dest[1][2] =-(a * t2[0] - c * t2[3] + d * t2[4]); dest[1][3] = a * t3[0] - c * t3[3] + d * t3[4]; */ v1 = _mm_add_ps(_mm_mul_ps(x3, t4), _mm_sub_ps(_mm_mul_ps(x0, t0), _mm_mul_ps(x2, t3))); v1 = _mm_xor_ps(v1, _mm_set_ps(0.f, -0.f, 0.f, -0.f)); /* dest[2][0] = e * t1[1] - f * t1[3] + h * t1[5]; dest[2][1] =-(a * t1[1] - b * t1[3] + d * t1[5]); dest[2][2] = a * t2[1] - b * t2[3] + d * t2[5]; dest[2][3] =-(a * t3[1] - b * t3[3] + d * t3[5]);*/ v2 = _mm_add_ps(_mm_mul_ps(x3, t5), _mm_sub_ps(_mm_mul_ps(x0, t1), _mm_mul_ps(x1, t3))); v2 = _mm_xor_ps(v2, _mm_set_ps(-0.f, 0.f, -0.f, 0.f)); /* dest[3][0] =-(e * t1[2] - f * t1[4] + g * t1[5]); dest[3][1] = a * t1[2] - b * t1[4] + c * t1[5]; dest[3][2] =-(a * t2[2] - b * t2[4] + c * t2[5]); dest[3][3] = a * t3[2] - b * t3[4] + c * t3[5]; */ v3 = _mm_add_ps(_mm_mul_ps(x2, t5), _mm_sub_ps(_mm_mul_ps(x0, t2), _mm_mul_ps(x1, t4))); v3 = _mm_xor_ps(v3, _mm_set_ps(0.f, -0.f, 0.f, -0.f)); /* determinant */ x0 = _mm_shuffle_ps(v0, v1, _MM_SHUFFLE(0, 0, 0, 0)); x1 = _mm_shuffle_ps(v2, v3, _MM_SHUFFLE(0, 0, 0, 0)); x0 = _mm_shuffle_ps(x0, x1, _MM_SHUFFLE(2, 0, 2, 0)); x0 = _mm_mul_ps(x0, r0); x0 = _mm_add_ps(x0, glmm_shuff1(x0, 0, 1, 2, 3)); x0 = _mm_add_ps(x0, glmm_shuff1(x0, 1, 0, 0, 1)); x0 = _mm_div_ps(_mm_set1_ps(1.0f), x0); glmm_store(dest[0], _mm_mul_ps(v0, x0)); glmm_store(dest[1], _mm_mul_ps(v1, x0)); glmm_store(dest[2], _mm_mul_ps(v2, x0)); glmm_store(dest[3], _mm_mul_ps(v3, x0)); } #endif #endif /* cglm_mat_sse_h */