/* * Copyright (c), Recep Aslantas. * * MIT License (MIT), http://opensource.org/licenses/MIT * Full license can be found in the LICENSE file */ #ifndef cglm_mat4_neon_h #define cglm_mat4_neon_h #if defined(CGLM_NEON_FP) #include "../../common.h" #include "../intrin.h" CGLM_INLINE void glm_mat4_scale_neon(mat4 m, float s) { float32x4_t v0; v0 = vdupq_n_f32(s); vst1q_f32(m[0], vmulq_f32(vld1q_f32(m[0]), v0)); vst1q_f32(m[1], vmulq_f32(vld1q_f32(m[1]), v0)); vst1q_f32(m[2], vmulq_f32(vld1q_f32(m[2]), v0)); vst1q_f32(m[3], vmulq_f32(vld1q_f32(m[3]), v0)); } CGLM_INLINE void glm_mat4_transp_neon(mat4 m, mat4 dest) { float32x4x4_t vmat; vmat = vld4q_f32(m[0]); vst1q_f32(dest[0], vmat.val[0]); vst1q_f32(dest[1], vmat.val[1]); vst1q_f32(dest[2], vmat.val[2]); vst1q_f32(dest[3], vmat.val[3]); } CGLM_INLINE void glm_mat4_mul_neon(mat4 m1, mat4 m2, mat4 dest) { /* D = R * L (Column-Major) */ glmm_128 l, r0, r1, r2, r3, v0, v1, v2, v3; l = glmm_load(m1[0]); r0 = glmm_load(m2[0]); r1 = glmm_load(m2[1]); r2 = glmm_load(m2[2]); r3 = glmm_load(m2[3]); v0 = vmulq_f32(glmm_splat_x(r0), l); v1 = vmulq_f32(glmm_splat_x(r1), l); v2 = vmulq_f32(glmm_splat_x(r2), l); v3 = vmulq_f32(glmm_splat_x(r3), l); l = glmm_load(m1[1]); v0 = glmm_fmadd(glmm_splat_y(r0), l, v0); v1 = glmm_fmadd(glmm_splat_y(r1), l, v1); v2 = glmm_fmadd(glmm_splat_y(r2), l, v2); v3 = glmm_fmadd(glmm_splat_y(r3), l, v3); l = glmm_load(m1[2]); v0 = glmm_fmadd(glmm_splat_z(r0), l, v0); v1 = glmm_fmadd(glmm_splat_z(r1), l, v1); v2 = glmm_fmadd(glmm_splat_z(r2), l, v2); v3 = glmm_fmadd(glmm_splat_z(r3), l, v3); l = glmm_load(m1[3]); v0 = glmm_fmadd(glmm_splat_w(r0), l, v0); v1 = glmm_fmadd(glmm_splat_w(r1), l, v1); v2 = glmm_fmadd(glmm_splat_w(r2), l, v2); v3 = glmm_fmadd(glmm_splat_w(r3), l, v3); glmm_store(dest[0], v0); glmm_store(dest[1], v1); glmm_store(dest[2], v2); glmm_store(dest[3], v3); } CGLM_INLINE void glm_mat4_mulv_neon(mat4 m, vec4 v, vec4 dest) { float32x4_t l0, l1, l2, l3; float32x2_t vlo, vhi; l0 = vld1q_f32(m[0]); l1 = vld1q_f32(m[1]); l2 = vld1q_f32(m[2]); l3 = vld1q_f32(m[3]); vlo = vld1_f32(&v[0]); vhi = vld1_f32(&v[2]); l0 = vmulq_lane_f32(l0, vlo, 0); l0 = vmlaq_lane_f32(l0, l1, vlo, 1); l0 = vmlaq_lane_f32(l0, l2, vhi, 0); l0 = vmlaq_lane_f32(l0, l3, vhi, 1); vst1q_f32(dest, l0); } CGLM_INLINE float glm_mat4_det_neon(mat4 mat) { float32x4_t r0, r1, r2, r3, x0, x1, x2; float32x2_t ij, op, mn, kl, nn, mm, jj, ii, gh, ef, t12, t34; float32x4x2_t a1; float32x4_t x3 = glmm_float32x4_SIGNMASK_PNPN; /* 127 <- 0, [square] det(A) = det(At) */ r0 = glmm_load(mat[0]); /* d c b a */ r1 = vrev64q_f32(glmm_load(mat[1])); /* g h e f */ r2 = vrev64q_f32(glmm_load(mat[2])); /* l k i j */ r3 = vrev64q_f32(glmm_load(mat[3])); /* o p m n */ gh = vget_high_f32(r1); ef = vget_low_f32(r1); kl = vget_high_f32(r2); ij = vget_low_f32(r2); op = vget_high_f32(r3); mn = vget_low_f32(r3); mm = vdup_lane_f32(mn, 1); nn = vdup_lane_f32(mn, 0); ii = vdup_lane_f32(ij, 1); jj = vdup_lane_f32(ij, 0); /* 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 = glmm_fnmadd(vcombine_f32(kl, kl), vcombine_f32(nn, mm), vmulq_f32(vcombine_f32(op, op), vcombine_f32(jj, ii))); t12 = vget_low_f32(x0); t34 = vget_high_f32(x0); /* 1 3 1 3 2 4 2 4 */ a1 = vuzpq_f32(x0, x0); /* 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 = glmm_fnmadd(vcombine_f32(vdup_lane_f32(kl, 0), jj), vcombine_f32(vdup_lane_f32(op, 1), mm), vmulq_f32(vcombine_f32(vdup_lane_f32(op, 0), nn), vcombine_f32(vdup_lane_f32(kl, 1), ii))); /* 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 = glmm_fnmadd(vcombine_f32(vdup_lane_f32(gh, 1), vdup_lane_f32(ef, 0)), vcombine_f32(vget_low_f32(a1.val[0]), t34), vmulq_f32(vcombine_f32(ef, vdup_lane_f32(ef, 1)), vcombine_f32(vget_low_f32(x1), t12))); x2 = glmm_fmadd(vcombine_f32(vdup_lane_f32(gh, 0), gh), vcombine_f32(vget_low_f32(a1.val[1]), vget_high_f32(x1)), x2); x2 = glmm_xor(x2, x3); return glmm_hadd(vmulq_f32(x2, r0)); } /* old one */ #if 0 CGLM_INLINE void glm_mat4_inv_neon(mat4 mat, mat4 dest) { float32x4_t r0, r1, r2, r3, v0, v1, v2, v3, t0, t1, t2, t3, t4, t5, x0, x1, x2, x3, x4, x5, x6, x7, x8; float32x4x2_t a1; float32x2_t lp, ko, hg, jn, im, fe, ae, bf, cg, dh; float32x4_t x9 = glmm_float32x4_SIGNMASK_NPNP; x8 = vrev64q_f32(x9); /* 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 */ /* l p k o, j n i m */ a1 = vzipq_f32(r3, r2); jn = vget_high_f32(a1.val[0]); im = vget_low_f32(a1.val[0]); lp = vget_high_f32(a1.val[1]); ko = vget_low_f32(a1.val[1]); hg = vget_high_f32(r1); x1 = vcombine_f32(vdup_lane_f32(lp, 0), lp); /* l p p p */ x2 = vcombine_f32(vdup_lane_f32(ko, 0), ko); /* k o o o */ x0 = vcombine_f32(vdup_lane_f32(lp, 1), vdup_lane_f32(hg, 1)); /* h h l l */ x3 = vcombine_f32(vdup_lane_f32(ko, 1), vdup_lane_f32(hg, 0)); /* 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 = glmm_fnmadd(x2, x0, vmulq_f32(x3, x1)); fe = vget_low_f32(r1); x4 = vcombine_f32(vdup_lane_f32(jn, 0), jn); /* j n n n */ x5 = vcombine_f32(vdup_lane_f32(jn, 1), vdup_lane_f32(fe, 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 = glmm_fnmadd(x4, x0, vmulq_f32(x5, x1)); /* 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 = glmm_fnmadd(x4, x3, vmulq_f32(x5, x2)); x6 = vcombine_f32(vdup_lane_f32(im, 1), vdup_lane_f32(fe, 0)); /* e e i i */ x7 = vcombine_f32(vdup_lane_f32(im, 0), im); /* 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 = glmm_fnmadd(x7, x0, vmulq_f32(x6, x1)); /* 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 = glmm_fnmadd(x7, x3, vmulq_f32(x6, x2)); /* 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 = glmm_fnmadd(x7, x5, vmulq_f32(x6, x4)); /* h d f b, g c e a */ a1 = vtrnq_f32(r0, r1); x4 = vrev64q_f32(a1.val[0]); /* c g a e */ x5 = vrev64q_f32(a1.val[1]); /* d h b f */ ae = vget_low_f32(x4); cg = vget_high_f32(x4); bf = vget_low_f32(x5); dh = vget_high_f32(x5); x0 = vcombine_f32(ae, vdup_lane_f32(ae, 1)); /* a a a e */ x1 = vcombine_f32(bf, vdup_lane_f32(bf, 1)); /* b b b f */ x2 = vcombine_f32(cg, vdup_lane_f32(cg, 1)); /* c c c g */ x3 = vcombine_f32(dh, vdup_lane_f32(dh, 1)); /* 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 = glmm_xor(glmm_fmadd(x3, t2, glmm_fnmadd(x2, t1, vmulq_f32(x1, t0))), x8); /* 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 = glmm_xor(glmm_fmadd(x3, t5, glmm_fnmadd(x1, t3, vmulq_f32(x0, t1))), x8); /* 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 = glmm_xor(glmm_fmadd(x3, t4, glmm_fnmadd(x2, t3, vmulq_f32(x0, t0))), x9); /* 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 = glmm_xor(glmm_fmadd(x2, t5, glmm_fnmadd(x1, t4, vmulq_f32(x0, t2))), x9); /* determinant */ x0 = vcombine_f32(vget_low_f32(vzipq_f32(v0, v1).val[0]), vget_low_f32(vzipq_f32(v2, v3).val[0])); /* x0 = glmm_div(glmm_set1_rval(1.0f), glmm_vhadd(vmulq_f32(x0, r0))); glmm_store(dest[0], vmulq_f32(v0, x0)); glmm_store(dest[1], vmulq_f32(v1, x0)); glmm_store(dest[2], vmulq_f32(v2, x0)); glmm_store(dest[3], vmulq_f32(v3, x0)); */ x0 = glmm_vhadd(vmulq_f32(x0, r0)); glmm_store(dest[0], glmm_div(v0, x0)); glmm_store(dest[1], glmm_div(v1, x0)); glmm_store(dest[2], glmm_div(v2, x0)); glmm_store(dest[3], glmm_div(v3, x0)); } #endif CGLM_INLINE void glm_mat4_inv_neon(mat4 mat, mat4 dest) { float32x4_t r0, r1, r2, r3, v0, v1, v2, v3, v4, v5, t0, t1, t2; float32x4x2_t a0, a1, a2, a3, a4; float32x4_t s1 = glmm_float32x4_SIGNMASK_PNPN, s2; #if !CGLM_ARM64 float32x2_t l0, l1; #endif s2 = vrev64q_f32(s1); /* 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 */ a1 = vzipq_f32(r0, r2); /* l d k c, j b i a */ a2 = vzipq_f32(r1, r3); /* p h o g, n f m e */ a3 = vzipq_f32(a2.val[0], a1.val[0]); /* j n b f, i m a e */ a4 = vzipq_f32(a2.val[1], a1.val[1]); /* l p d h, k o c g */ v0 = vextq_f32(a1.val[0], a1.val[1], 2); /* k c j b */ v1 = vextq_f32(a2.val[0], a2.val[1], 2); /* o g n f */ v2 = vextq_f32(a1.val[1], a2.val[0], 2); /* m e l d */ v3 = vextq_f32(a2.val[1], a1.val[0], 2); /* i a p h */ v4 = vextq_f32(v1, v2, 2); /* l d o g */ v5 = vextq_f32(v0, v3, 2); /* p h k c */ /* c2 = c * h - g * d c12 = a * g - c * e c8 = a * f - b * e c1 = k * p - o * l c11 = i * o - k * m c7 = i * n - j * m c4 = h * a - d * e c6 = b * h - d * f c10 = b * g - c * f c3 = p * i - l * m c5 = j * p - l * n c9 = j * o - k * n */ t0 = vmulq_f32(v5, v3); t1 = vmulq_f32(a1.val[0], a2.val[1]); t2 = vmulq_f32(a1.val[0], v1); t0 = glmm_fnmadd(v4, v2, t0); t1 = glmm_fnmadd(a1.val[1], a2.val[0], t1); t2 = glmm_fnmadd(v0, a2.val[0], t2); t0 = vrev64q_f32(t0); t1 = vrev64q_f32(t1); t2 = vrev64q_f32(t2); /* det */ v0 = vrev64q_f32(t2); v1 = vextq_f32(t1, t1, 2); v0 = vmulq_f32(t0, v0); v1 = vrev64q_f32(v1); v1 = vmulq_f32(v1, t1); /* c3 * c10 + c4 * c9 + c1 * c8 + c2 * c7 */ #if CGLM_ARM64 v0 = vpaddq_f32(v0, v0); v0 = vpaddq_f32(v0, v0); #else l0 = vget_low_f32(v0); l1 = vget_high_f32(v0); l0 = vpadd_f32(l0, l0); /* [a+b, a+b] */ l1 = vpadd_f32(l1, l1); /* [c+d, c+d] */ l0 = vadd_f32(l0, l1); /* [sum, sum] */ v0 = vcombine_f32(l0, l0); #endif /* c5 * c12 + c6 * c11 */ #if CGLM_ARM64 v1 = vpaddq_f32(v1, v1); #else l0 = vget_low_f32(v1); l1 = vget_high_f32(v1); l0 = vpadd_f32(l0, l0); /* [a+b, a+b] */ l1 = vpadd_f32(l1, l1); /* [c+d, c+d] */ v1 = vcombine_f32(l0, l1); #endif v0 = vsubq_f32(v0, v1); /* det */ /* inv div */ v1 = vdupq_n_f32(1.0f); v0 = glmm_div(v1, v0); /* inv div */ /* multiply t0,t1,t2 by idt to reduce 1mul below: 2eor+4mul vs 3mul+4eor */ t0 = vmulq_f32(t0, v0); t1 = vmulq_f32(t1, v0); t2 = vmulq_f32(t2, v0); a0 = vzipq_f32(t0, t0); /* c4 c4 c3 c3, c2 c2 c1 c1 */ a1 = vzipq_f32(t1, t1); /* c6 c6 c5 c5, c12 c12 c11 c11 */ a2 = vzipq_f32(t2, t2); /* c10 c10 c9 c9, c8 c8 c7 c7 */ /* 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 = vmulq_f32(a3.val[1], a0.val[0]); r1 = vmulq_f32(a3.val[0], a0.val[0]); r2 = vmulq_f32(a3.val[0], a1.val[1]); r3 = vmulq_f32(a3.val[0], a2.val[1]); r0 = glmm_fnmadd(a4.val[0], a1.val[1], r0); r1 = glmm_fnmadd(a4.val[0], a0.val[1], r1); r2 = glmm_fnmadd(a3.val[1], a0.val[1], r2); r3 = glmm_fnmadd(a3.val[1], a1.val[0], r3); r0 = glmm_fmadd(a4.val[1], a2.val[1], r0); r1 = glmm_fmadd(a4.val[1], a1.val[0], r1); r2 = glmm_fmadd(a4.val[1], a2.val[0], r2); r3 = glmm_fmadd(a4.val[0], a2.val[0], r3); /* 4xor may be fastart then 4mul, see above */ r0 = glmm_xor(r0, s1); r1 = glmm_xor(r1, s2); r2 = glmm_xor(r2, s1); r3 = glmm_xor(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_mat4_neon_h */