| /* |
| * Copyright (c) 2017, Alliance for Open Media. All rights reserved |
| * |
| * This source code is subject to the terms of the BSD 2 Clause License and |
| * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License |
| * was not distributed with this source code in the LICENSE file, you can |
| * obtain it at www.aomedia.org/license/software. If the Alliance for Open |
| * Media Patent License 1.0 was not distributed with this source code in the |
| * PATENTS file, you can obtain it at www.aomedia.org/license/patent. |
| */ |
| |
| /* This header does not use an include guard. |
| It is intentionally designed to be included multiple times. |
| The file that includes it should define the following macros: |
| |
| OD_KERNEL A label for the width of the kernel, e.g., kernel8 |
| OD_WORD A label for the size of the SIMD word, e.g., epi16 |
| OD_REG The type of a SIMD register, e.g., __m128i |
| OD_ADD The intrinsic function for addition |
| OD_SUB The intrinsic function for subtraction |
| OD_RSHIFT1 The function that implements an unbiased right shift by 1 |
| OD_AVG The function that implements a signed PAVG[WD] |
| I.e., (a + b + 1) >> 1, without overflow |
| OD_HRSUB The function that implements a VHRSUB.S<16|32> |
| I.e., (a - b + 1) >> 1, without overflow |
| OD_MUL The function that implements the multiplies |
| I.e., (a * b + ((1 << r) >> 1)) >> r, without overflow |
| OD_SWAP The function that swaps two SIMD registers |
| |
| See daala_inv_txfm_avx2.c for examples. */ |
| |
| #define OD_KERNEL_FUNC_IMPL(name, kernel, word) name##_##kernel##_##word |
| #define OD_KERNEL_FUNC_WRAPPER(name, kernel, word) \ |
| OD_KERNEL_FUNC_IMPL(name, kernel, word) |
| #define OD_KERNEL_FUNC(name) OD_KERNEL_FUNC_WRAPPER(name, OD_KERNEL, OD_WORD) |
| |
| static INLINE void OD_KERNEL_FUNC(od_rotate_add)(OD_REG *q0, OD_REG *q1, int c0, |
| int r0, int c1, int r1, int c2, |
| int r2, int s, int avg) { |
| OD_REG t_; |
| OD_REG u_; |
| |
| if (avg) |
| t_ = OD_AVG(*q0, *q1); |
| else |
| t_ = OD_ADD(*q0, *q1); |
| u_ = OD_MUL(*q1, c0, r0); |
| *q1 = OD_MUL(*q0, c1, r1); |
| t_ = OD_MUL(t_, c2, r2); |
| if (s) |
| *q0 = OD_SUB(u_, OD_RSHIFT1(t_)); |
| else |
| *q0 = OD_SUB(u_, t_); |
| *q1 = OD_ADD(*q1, t_); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_rotate_addh)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q1h, int c0, int r0, |
| int c1, int r1, int c2, |
| int r2, int s) { |
| OD_REG t_; |
| OD_REG u_; |
| |
| t_ = OD_ADD(*q0, *q1h); |
| u_ = OD_MUL(*q1, c0, r0); |
| *q1 = OD_MUL(*q0, c1, r1); |
| t_ = OD_MUL(t_, c2, r2); |
| *q0 = OD_SUB(u_, t_); |
| if (s) |
| *q1 = OD_ADD(*q1, OD_RSHIFT1(t_)); |
| else |
| *q1 = OD_ADD(*q1, t_); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_rotate_sub)(OD_REG *q0, OD_REG *q1, int c0, |
| int r0, int c1, int r1, int c2, |
| int r2, int s) { |
| OD_REG t_; |
| OD_REG u_; |
| |
| t_ = OD_SUB(*q0, *q1); |
| u_ = OD_MUL(*q1, c0, r0); |
| *q1 = OD_MUL(*q0, c1, r1); |
| t_ = OD_MUL(t_, c2, r2); |
| if (s) |
| *q0 = OD_ADD(u_, OD_RSHIFT1(t_)); |
| else |
| *q0 = OD_ADD(u_, t_); |
| *q1 = OD_ADD(*q1, t_); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_rotate_sub2)(OD_REG *q0, OD_REG *q1, |
| int c0, int r0, int c1, |
| int r1, int c2, int r2, |
| int avg) { |
| OD_REG t_; |
| OD_REG u_; |
| |
| if (avg) |
| t_ = OD_HRSUB(*q1, *q0); |
| else |
| t_ = OD_SUB(*q1, *q0); |
| u_ = OD_MUL(*q1, c0, r0); |
| *q1 = OD_MUL(*q0, c1, r1); |
| t_ = OD_MUL(t_, c2, r2); |
| *q0 = OD_SUB(t_, u_); |
| *q1 = OD_SUB(*q1, t_); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_rotate_subh)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q1h, int c0, int r0, |
| int c1, int r1, int c2, |
| int r2, int s) { |
| OD_REG t_; |
| OD_REG u_; |
| |
| t_ = OD_SUB(*q0, *q1h); |
| u_ = OD_MUL(*q1, c0, r0); |
| *q1 = OD_MUL(*q0, c1, r1); |
| t_ = OD_MUL(t_, c2, r2); |
| *q0 = OD_ADD(u_, t_); |
| if (s) |
| *q1 = OD_ADD(*q1, OD_RSHIFT1(t_)); |
| else |
| *q1 = OD_ADD(*q1, t_); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_rotate45)(OD_REG *p0, OD_REG *p1, |
| int avg) { |
| OD_REG t_; |
| if (avg) |
| t_ = OD_AVG(*p0, *p1); |
| else |
| t_ = OD_ADD(*p0, *p1); |
| /* 11585/8192 ~= 2*Sin[Pi/4] ~= 1.4142135623730951 */ |
| *p0 = OD_MUL(*p1, 11585, 13); |
| /* 11585/8192 ~= 2*Cos[Pi/4] ~= 1.4142135623730951 */ |
| if (avg) |
| *p1 = OD_MUL(t_, 11585, 13); |
| else |
| *p1 = OD_MUL(t_, 11585, 14); |
| *p0 = OD_SUB(*p0, *p1); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_add)(OD_REG *q0, OD_REG *q1) { |
| *q0 = OD_ADD(*q0, OD_RSHIFT1(*q1)); |
| *q1 = OD_SUB(*q0, *q1); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_add2)(OD_REG *q0, OD_REG *q1) { |
| *q0 = OD_ADD(*q0, OD_RSHIFT1(*q1)); |
| *q1 = OD_SUB(*q1, *q0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_sub2)(OD_REG *q0, OD_REG *q1) { |
| *q0 = OD_SUB(*q0, OD_RSHIFT1(*q1)); |
| *q1 = OD_ADD(*q1, *q0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_addh)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q1h) { |
| *q0 = OD_ADD(*q0, *q1h); |
| *q1 = OD_SUB(*q1, *q0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_subh)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q1h) { |
| *q0 = OD_SUB(*q0, *q1h); |
| *q1 = OD_ADD(*q1, *q0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_v1)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q1h) { |
| *q1 = OD_SUB(*q0, *q1); |
| *q1h = OD_RSHIFT1(*q1); |
| *q0 = OD_SUB(*q0, *q1h); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_v2)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q1h) { |
| *q1 = OD_SUB(*q1, *q0); |
| *q1h = OD_RSHIFT1(*q1); |
| *q0 = OD_ADD(*q0, *q1h); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_butterfly_v3)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q1h) { |
| *q1 = OD_ADD(*q0, *q1); |
| *q1h = OD_RSHIFT1(*q1); |
| *q0 = OD_SUB(*q0, *q1h); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idct2)(OD_REG *p0, OD_REG *p1) { |
| OD_KERNEL_FUNC(od_rotate45)(p1, p0, 0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst2)(OD_REG *p0, OD_REG *p1, int neg) { |
| // Note: special case of rotation |
| OD_REG t_; |
| OD_REG u_; |
| if (neg) |
| t_ = OD_HRSUB(*p0, *p1); |
| else |
| t_ = OD_AVG(*p0, *p1); |
| /* 21407/16384 ~= Sin[3*Pi/8] + Cos[3*Pi/8] ~= 1.3065629648763766 */ |
| u_ = OD_MUL(*p0, 21407, 14); |
| /* 8867/16384 ~= Sin[3*Pi/8] - Cos[3*Pi/8] ~= 0.541196100146197 */ |
| *p0 = OD_MUL(*p1, 8867, 14); |
| /* 3135/4096 ~= 2*Cos[3*Pi/8] ~= 0.7653668647301796 */ |
| t_ = OD_MUL(t_, 3135, 12); |
| if (neg) { |
| *p0 = OD_SUB(*p0, t_); |
| *p1 = OD_SUB(t_, u_); |
| } else { |
| *p0 = OD_ADD(*p0, t_); |
| *p1 = OD_SUB(u_, t_); |
| } |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idct2_asym)(OD_REG *p0, OD_REG *p1, |
| OD_REG *p1h) { |
| OD_KERNEL_FUNC(od_butterfly_v1)(p0, p1, p1h); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst2_asym)(OD_REG *p0, OD_REG *p1) { |
| // Note: special case of rotation |
| OD_REG t_; |
| OD_REG u_; |
| t_ = OD_AVG(*p0, *p1); |
| /* 3135/4096 ~= (Cos[Pi/8] - Sin[Pi/8])*Sqrt[2] = 0.7653668647301795 */ |
| u_ = OD_MUL(*p1, 3135, 12); |
| /* 15137/16384 ~= (Cos[Pi/8] + Sin[Pi/8])/Sqrt[2] = 0.9238795325112867 */ |
| *p1 = OD_MUL(*p0, 15137, 14); |
| /* 8867/8192 ~= Cos[3*Pi/8]*2*Sqrt[2] = 1.082392200292394 */ |
| t_ = OD_MUL(t_, 8867, 13); |
| *p0 = OD_ADD(u_, t_); |
| *p1 = OD_SUB(*p1, OD_RSHIFT1(t_)); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idct4)(OD_REG *q0, OD_REG *q2, OD_REG *q1, |
| OD_REG *q3) { |
| OD_REG q1h; |
| OD_KERNEL_FUNC(od_idst2_asym)(q3, q2); |
| OD_KERNEL_FUNC(od_idct2_asym)(q0, q1, &q1h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(q2, q1, &q1h); |
| OD_KERNEL_FUNC(od_butterfly_add)(q0, q3); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idct4_asym)(OD_REG *q0, OD_REG *q2, |
| OD_REG *q1, OD_REG *q1h, |
| OD_REG *q3, OD_REG *q3h) { |
| OD_KERNEL_FUNC(od_idst2)(q3, q2, 0); |
| OD_KERNEL_FUNC(od_idct2)(q0, q1); |
| OD_KERNEL_FUNC(od_butterfly_v2)(q2, q1, q1h); |
| OD_KERNEL_FUNC(od_butterfly_v1)(q0, q3, q3h); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst_vii4)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q2, OD_REG *q3) { |
| // Note: special case |
| OD_REG t0; |
| OD_REG t1; |
| OD_REG t2; |
| OD_REG t3; |
| OD_REG t3h; |
| OD_REG t4; |
| OD_REG u4; |
| t0 = OD_SUB(*q0, *q3); |
| t1 = OD_ADD(*q0, *q2); |
| t2 = OD_ADD(*q3, OD_HRSUB(t0, *q2)); |
| t3 = *q1; |
| t4 = OD_ADD(*q2, *q3); |
| /* 467/2048 ~= 2*Sin[1*Pi/9]/3 ~= 0.228013428883779 */ |
| t0 = OD_MUL(t0, 467, 11); |
| /* 7021/16384 ~= 2*Sin[2*Pi/9]/3 ~= 0.428525073124360 */ |
| t1 = OD_MUL(t1, 7021, 14); |
| /* 37837/32768 ~= 4*Sin[3*Pi/9]/3 ~= 1.154700538379252 */ |
| t2 = OD_MUL(t2, 37837, 15); |
| /* 37837/32768 ~= 4*Sin[3*Pi/9]/3 ~= 1.154700538379252 */ |
| t3 = OD_MUL(t3, 37837, 15); |
| /* 21513/32768 ~= 2*Sin[4*Pi/9]/3 ~= 0.656538502008139 */ |
| t4 = OD_MUL(t4, 21513, 15); |
| t3h = OD_RSHIFT1(t3); |
| u4 = OD_ADD(t4, t3h); |
| *q0 = OD_ADD(t0, u4); |
| /* We swap q1 and q2 to correct for the bitreverse reordering that |
| od_row_tx4_avx2() does. */ |
| *q2 = OD_ADD(t1, OD_SUB(t3, u4)); |
| *q1 = t2; |
| *q3 = OD_ADD(t0, OD_SUB(t1, t3h)); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_flip_idst_vii4)(OD_REG *q0, OD_REG *q1, |
| OD_REG *q2, OD_REG *q3) { |
| OD_KERNEL_FUNC(od_idst_vii4)(q0, q1, q2, q3); |
| OD_SWAP(q0, q3); |
| OD_SWAP(q1, q2); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst4)(OD_REG *q0, OD_REG *q1, OD_REG *q2, |
| OD_REG *q3) { |
| OD_REG q2h; |
| OD_REG q3h; |
| OD_KERNEL_FUNC(od_rotate45)(q2, q1, 1); |
| OD_KERNEL_FUNC(od_butterfly_v3)(q0, q2, &q2h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(q1, q3, &q3h); |
| /* 16069/16384 ~= (Sin[5*Pi/16] + Cos[5*Pi/16])/Sqrt[2] ~= 0.9807852804032 */ |
| /* 12785/32768 ~= (Sin[5*Pi/16] - Cos[5*Pi/16])*Sqrt[2] ~= 0.3901806440323 */ |
| /* 12873/16384 ~= Cos[5*Pi/16]*Sqrt[2] ~= 0.7856949583871021 */ |
| OD_KERNEL_FUNC(od_rotate_addh) |
| (q1, q2, &q2h, 16069, 14, 12785, 15, 12873, 14, 0); |
| /* 13623/16384 ~= (Sin[7*Pi/16] + Cos[7*Pi/16])/Sqrt[2] ~= 0.8314696123025 */ |
| /* 18205/16384 ~= (Sin[7*Pi/16] - Cos[7*Pi/16])*Sqrt[2] ~= 1.1111404660392 */ |
| /* 9041/32768 ~= Cos[7*Pi/16]*Sqrt[2] = 0.275899379282943 */ |
| OD_KERNEL_FUNC(od_rotate_subh) |
| (q0, q3, &q3h, 13623, 14, 18205, 14, 9041, 15, 0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst4_asym)(OD_REG *q0, OD_REG *q2, |
| OD_REG *q1, OD_REG *q3) { |
| OD_REG q1h; |
| OD_REG q3h; |
| OD_KERNEL_FUNC(od_rotate45)(q1, q2, 1); |
| OD_KERNEL_FUNC(od_butterfly_v3)(q0, q1, &q1h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(q2, q3, &q3h); |
| /* 45451/32768 ~= Sin[5*Pi/16] + Cos[5*Pi/16] ~= 1.3870398453221475 */ |
| /* 9041/32768 ~= Sin[5*Pi/16] - Cos[5*Pi/16] ~= 0.27589937928294306 */ |
| /* 18205/16384 ~= 2*Cos[5*Pi/16] ~= 1.1111404660392044 */ |
| OD_KERNEL_FUNC(od_rotate_addh) |
| (q2, q1, &q1h, 45451, 15, 9041, 15, 18205, 14, 1); |
| /* 38531/32768 ~= Sin[7*Pi/16] + Cos[7*Pi/16] = 1.1758756024193586 */ |
| /* 12873/16384 ~= Sin[7*Pi/16] - Cos[7*Pi/16] = 0.7856949583871022 */ |
| /* 12785/32768 ~= 2*Cos[7*Pi/16] = 0.3901806440322565 */ |
| OD_KERNEL_FUNC(od_rotate_subh) |
| (q0, q3, &q3h, 38531, 15, 12873, 14, 12785, 15, 1); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idct8)(OD_REG *r0, OD_REG *r4, OD_REG *r2, |
| OD_REG *r6, OD_REG *r1, OD_REG *r5, |
| OD_REG *r3, OD_REG *r7) { |
| OD_REG r1h; |
| OD_REG r3h; |
| OD_KERNEL_FUNC(od_idst4_asym)(r7, r5, r6, r4); |
| OD_KERNEL_FUNC(od_idct4_asym)(r0, r2, r1, &r1h, r3, &r3h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(r4, r3, &r3h); |
| OD_KERNEL_FUNC(od_butterfly_add)(r2, r5); |
| OD_KERNEL_FUNC(od_butterfly_addh)(r6, r1, &r1h); |
| OD_KERNEL_FUNC(od_butterfly_add)(r0, r7); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idct8_asym)( |
| OD_REG *r0, OD_REG *r4, OD_REG *r2, OD_REG *r6, OD_REG *r1, OD_REG *r1h, |
| OD_REG *r5, OD_REG *r5h, OD_REG *r3, OD_REG *r3h, OD_REG *r7, OD_REG *r7h) { |
| OD_KERNEL_FUNC(od_idst4)(r7, r5, r6, r4); |
| OD_KERNEL_FUNC(od_idct4)(r0, r2, r1, r3); |
| OD_KERNEL_FUNC(od_butterfly_v1)(r0, r7, r7h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(r6, r1, r1h); |
| OD_KERNEL_FUNC(od_butterfly_v1)(r2, r5, r5h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(r4, r3, r3h); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst8)(OD_REG *r0, OD_REG *r4, OD_REG *r2, |
| OD_REG *r6, OD_REG *r1, OD_REG *r5, |
| OD_REG *r3, OD_REG *r7) { |
| OD_REG r0h; |
| OD_REG r2h; |
| OD_REG r5h; |
| OD_REG r7h; |
| OD_KERNEL_FUNC(od_rotate45)(r1, r6, 1); |
| OD_KERNEL_FUNC(od_idst2)(r5, r2, 1); |
| OD_KERNEL_FUNC(od_idst2)(r4, r3, 0); |
| OD_KERNEL_FUNC(od_butterfly_v3)(r6, r7, &r7h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(r4, r2, &r2h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(r1, r0, &r0h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(r3, r5, &r5h); |
| OD_KERNEL_FUNC(od_butterfly_subh)(r4, r7, &r7h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(r6, r5, &r5h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(r3, r0, &r0h); |
| OD_KERNEL_FUNC(od_butterfly_subh)(r1, r2, &r2h); |
| /* 17911/16384 ~= Sin[15*Pi/32] + Cos[15*Pi/32] ~= 1.0932018670017576 */ |
| /* 14699/16384 ~= Sin[15*Pi/32] - Cos[15*Pi/32] ~= 0.8971675863426363 */ |
| /* 803/8192 ~= Cos[15*Pi/32] ~= 0.0980171403295606 */ |
| OD_KERNEL_FUNC(od_rotate_add)(r7, r0, 17911, 14, 14699, 14, 803, 13, 0, 0); |
| /* 40869/32768 ~= Sin[13*Pi/32] + Cos[13*Pi/32] ~= 1.247225012986671 */ |
| /* 21845/32768 ~= Sin[13*Pi/32] - Cos[13*Pi/32] ~= 0.6666556584777465 */ |
| /* 1189/4096 ~= Cos[13*Pi/32] ~= 0.29028467725446233 */ |
| OD_KERNEL_FUNC(od_rotate_sub)(r1, r6, 40869, 15, 21845, 15, 1189, 12, 0); |
| /* 22173/16384 ~= Sin[11*Pi/32] + Cos[11*Pi/32] ~= 1.3533180011743526 */ |
| /* 3363/8192 ~= Sin[11*Pi/32] - Cos[11*Pi/32] ~= 0.4105245275223574 */ |
| /* 15447/32768 ~= Cos[11*Pi/32] ~= 0.47139673682599764 */ |
| OD_KERNEL_FUNC(od_rotate_add)(r5, r2, 22173, 14, 3363, 13, 15447, 15, 0, 0); |
| /* 23059/16384 ~= Sin[9*Pi/32] + Cos[9*Pi/32] ~= 1.4074037375263826 */ |
| /* 2271/16384 ~= Sin[9*Pi/32] - Cos[9*Pi/32] ~= 0.1386171691990915 */ |
| /* 5197/8192 ~= Cos[9*Pi/32] ~= 0.6343932841636455 */ |
| OD_KERNEL_FUNC(od_rotate_sub)(r3, r4, 23059, 14, 2271, 14, 5197, 13, 0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst8_asym)(OD_REG *r0, OD_REG *r4, |
| OD_REG *r2, OD_REG *r6, |
| OD_REG *r1, OD_REG *r5, |
| OD_REG *r3, OD_REG *r7) { |
| OD_REG r0h; |
| OD_REG r2h; |
| OD_REG r5h; |
| OD_REG r7h; |
| OD_KERNEL_FUNC(od_rotate45)(r1, r6, 1); |
| OD_KERNEL_FUNC(od_idst2)(r5, r2, 1); |
| OD_KERNEL_FUNC(od_idst2)(r4, r3, 0); |
| OD_KERNEL_FUNC(od_butterfly_v3)(r6, r7, &r7h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(r4, r2, &r2h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(r1, r0, &r0h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(r3, r5, &r5h); |
| OD_KERNEL_FUNC(od_butterfly_subh)(r4, r7, &r7h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(r6, r5, &r5h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(r3, r0, &r0h); |
| OD_KERNEL_FUNC(od_butterfly_subh)(r1, r2, &r2h); |
| /* 12665/16384 ~= (Sin[15*Pi/32] + Cos[15*Pi/32])/Sqrt[2] ~= 0.77301045336 */ |
| /* 5197/4096 ~= (Sin[15*Pi/32] - Cos[15*Pi/32])*Sqrt[2] ~= 1.2687865683273 */ |
| /* 2271/16384 ~= Cos[15*Pi/32]*Sqrt[2] ~= 0.13861716919909148 */ |
| OD_KERNEL_FUNC(od_rotate_add)(r7, r0, 12665, 14, 5197, 12, 2271, 14, 1, 0); |
| /* 28899/32768 ~= (Sin[13*Pi/32] + Cos[13*Pi/32])/Sqrt[2] ~= 0.88192126435 */ |
| /* 30893/32768 ~= (Sin[13*Pi/32] - Cos[13*Pi/32])*Sqrt[2] ~= 0.94279347365 */ |
| /* 3363/8192 ~= Cos[13*Pi/32]*Sqrt[2] ~= 0.41052452752235735 */ |
| OD_KERNEL_FUNC(od_rotate_sub)(r1, r6, 28899, 15, 30893, 15, 3363, 13, 1); |
| /* 31357/32768 ~= (Sin[11*Pi/32] + Cos[11*Pi/32])/Sqrt[2] ~= 0.95694033573 */ |
| /* 1189/2048 ~= (Sin[11*Pi/32] - Cos[11*Pi/32])*Sqrt[2] ~= 0.5805693545089 */ |
| /* 21845/32768 ~= Cos[11*Pi/32] ~= 0.6666556584777465 */ |
| OD_KERNEL_FUNC(od_rotate_add)(r5, r2, 31357, 15, 1189, 11, 21845, 15, 1, 0); |
| /* 16305/16384 ~= (Sin[9*Pi/32] + Cos[9*Pi/32])/Sqrt[2] ~= 0.9951847266722 */ |
| /* 803/4096 ~= (Sin[9*Pi/32] - Cos[9*Pi/32])*Sqrt[2] ~= 0.1960342806591213 */ |
| /* 14699/16384 ~= Cos[9*Pi/32]*Sqrt[2] ~= 0.8971675863426364 */ |
| OD_KERNEL_FUNC(od_rotate_sub)(r3, r4, 16305, 14, 803, 12, 14699, 14, 1); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_flip_idst8)(OD_REG *r0, OD_REG *r4, |
| OD_REG *r2, OD_REG *r6, |
| OD_REG *r1, OD_REG *r5, |
| OD_REG *r3, OD_REG *r7) { |
| OD_KERNEL_FUNC(od_idst8)(r0, r4, r2, r6, r1, r5, r3, r7); |
| OD_SWAP(r0, r7); |
| OD_SWAP(r4, r3); |
| OD_SWAP(r2, r5); |
| OD_SWAP(r6, r1); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idct16)(OD_REG *s0, OD_REG *s8, OD_REG *s4, |
| OD_REG *sc, OD_REG *s2, OD_REG *sa, |
| OD_REG *s6, OD_REG *se, OD_REG *s1, |
| OD_REG *s9, OD_REG *s5, OD_REG *sd, |
| OD_REG *s3, OD_REG *sb, OD_REG *s7, |
| OD_REG *sf) { |
| OD_REG s1h; |
| OD_REG s3h; |
| OD_REG s5h; |
| OD_REG s7h; |
| OD_KERNEL_FUNC(od_idst8_asym)(sf, sb, sd, s9, se, sa, sc, s8); |
| OD_KERNEL_FUNC(od_idct8_asym) |
| (s0, s4, s2, s6, s1, &s1h, s5, &s5h, s3, &s3h, s7, &s7h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(s8, s7, &s7h); |
| OD_KERNEL_FUNC(od_butterfly_add)(s6, s9); |
| OD_KERNEL_FUNC(od_butterfly_addh)(sa, s5, &s5h); |
| OD_KERNEL_FUNC(od_butterfly_add)(s4, sb); |
| OD_KERNEL_FUNC(od_butterfly_addh)(sc, s3, &s3h); |
| OD_KERNEL_FUNC(od_butterfly_add)(s2, sd); |
| OD_KERNEL_FUNC(od_butterfly_addh)(se, s1, &s1h); |
| OD_KERNEL_FUNC(od_butterfly_add)(s0, sf); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_idst16)(OD_REG *s0, OD_REG *s1, OD_REG *s2, |
| OD_REG *s3, OD_REG *s4, OD_REG *s5, |
| OD_REG *s6, OD_REG *s7, OD_REG *s8, |
| OD_REG *s9, OD_REG *sa, OD_REG *sb, |
| OD_REG *sc, OD_REG *sd, OD_REG *se, |
| OD_REG *sf) { |
| OD_REG s0h; |
| OD_REG s1h; |
| OD_REG s2h; |
| OD_REG s3h; |
| OD_REG s4h; |
| OD_REG s5h; |
| OD_REG s6h; |
| OD_REG s7h; |
| OD_REG sbh; |
| OD_REG sfh; |
| OD_REG h; |
| OD_KERNEL_FUNC(od_rotate45)(s9, s6, 1); |
| OD_KERNEL_FUNC(od_rotate45)(sa, s5, 1); |
| OD_KERNEL_FUNC(od_rotate45)(s8, s7, 1); |
| OD_KERNEL_FUNC(od_idst2)(s3, sc, 0); |
| OD_KERNEL_FUNC(od_idst2)(sb, s4, 1); |
| OD_KERNEL_FUNC(od_butterfly_v3)(s2, sa, &h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(sd, s5, &h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(s9, s1, &h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(s6, se, &h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(sc, sb, &sbh); |
| OD_KERNEL_FUNC(od_butterfly_v3)(s7, sf, &sfh); |
| OD_KERNEL_FUNC(od_butterfly_v2)(s8, s0, &s0h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(s3, s4, &s4h); |
| /* 38531/32768 ~= Sin[7*Pi/16] + Cos[7*Pi/16] = 1.1758756024193586 */ |
| /* 12873/16384 ~= Sin[7*Pi/16] - Cos[7*Pi/16] = 0.7856949583871022 */ |
| /* 6393/32768 ~= Cos[7*Pi/16] = 0.19509032201612825 */ |
| OD_KERNEL_FUNC(od_rotate_sub2) |
| (s2, sd, 38531, 15, 12873, 14, 6393, 15, 0); |
| /* 22725/16384 ~= Sin[5*Pi/16] + Cos[5*Pi/16] ~= 1.3870398453221475 */ |
| /* 9041/32768 ~= Sin[5*Pi/16] - Cos[5*Pi/16] ~= 0.27589937928294306 */ |
| /* 18205/16384 ~= 2*Cos[5*Pi/16] ~= 1.1111404660392044 */ |
| OD_KERNEL_FUNC(od_rotate_sub2) |
| (sa, s5, 22725, 14, 9041, 15, 18205, 14, 1); |
| /* 45451/32768 ~= Sin[5*Pi/16] + Cos[5*Pi/16] ~= 1.3870398453221475 */ |
| /* 9041/32768 ~= Sin[5*Pi/16] - Cos[5*Pi/16] ~= 0.27589937928294306 */ |
| /* 18205/32768 ~= Cos[5*Pi/16] ~= 0.5555702330196022 */ |
| OD_KERNEL_FUNC(od_rotate_add) |
| (s6, s9, 45451, 15, 9041, 15, 18205, 15, 0, 0); |
| /* 9633/8192 ~= Sin[7*Pi/16] + Cos[7*Pi/16] ~= 1.1758756024193586 */ |
| /* 12873/16384 ~= Sin[7*Pi/16] - Cos[7*Pi/16] ~= 0.7856949583871022 */ |
| /* 12785/32768 ~= 2*Cos[7*Pi/16] ~= 0.3901806440322565 */ |
| OD_KERNEL_FUNC(od_rotate_add) |
| (se, s1, 9633, 13, 12873, 14, 12785, 15, 0, 1); |
| OD_KERNEL_FUNC(od_butterfly_subh)(s8, s4, &s4h); |
| OD_KERNEL_FUNC(od_butterfly_addh)(s7, sb, &sbh); |
| OD_KERNEL_FUNC(od_butterfly_subh)(s3, sf, &sfh); |
| OD_KERNEL_FUNC(od_butterfly_addh)(sc, s0, &s0h); |
| OD_KERNEL_FUNC(od_butterfly_add2)(sd, se); |
| OD_KERNEL_FUNC(od_butterfly_add2)(s2, s1); |
| OD_KERNEL_FUNC(od_butterfly_sub2)(s6, s5); |
| OD_KERNEL_FUNC(od_butterfly_sub2)(s9, sa); |
| OD_KERNEL_FUNC(od_butterfly_v2)(se, s0, &s0h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(sf, s1, &s1h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(sc, s2, &s2h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(sd, s3, &s3h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(sa, s4, &s4h); |
| OD_KERNEL_FUNC(od_butterfly_v2)(sb, s5, &s5h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(s8, s6, &s6h); |
| OD_KERNEL_FUNC(od_butterfly_v3)(s9, s7, &s7h); |
| /* 32729/32768 ~= (Sin[17*Pi/64] + Cos[17*Pi/64])/Sqrt[2] ~= 0.99879545620 */ |
| /* 201/2048 ~= (Sin[17*Pi/64] - Cos[17*Pi/64])*Sqrt[2] ~= 0.09813534865484 */ |
| /* 31121/32768 ~= Cos[17*Pi/64]*Sqrt[2] ~= 0.9497277818777543 */ |
| OD_KERNEL_FUNC(od_rotate_subh) |
| (se, s1, &s1h, 32729, 15, 201, 11, 31121, 15, 0); |
| /* 32413/32768 ~= (Sin[19*Pi/64] + Cos[19*Pi/64])/Sqrt[2] ~= 0.98917650996 */ |
| /* 601/2048 ~= (Sin[19*Pi/64] - Cos[19*Pi/64])*Sqrt[2] ~= 0.29346094891072 */ |
| /* 27605/32768 ~= Cos[19*Pi/64]*Sqrt[2] ~= 0.8424460355094193 */ |
| OD_KERNEL_FUNC(od_rotate_addh) |
| (s9, s6, &s6h, 32413, 15, 601, 11, 27605, 15, 0); |
| /* 15893/16384 ~= (Sin[21*Pi/64] + Cos[21*Pi/64])/Sqrt[2] ~= 0.97003125319 */ |
| /* 3981/8192 ~= (Sin[21*Pi/64] - Cos[21*Pi/64])*Sqrt[2] ~= 0.4859603598065 */ |
| /* 1489/2048 ~= Cos[21*Pi/64]*Sqrt[2] ~= 0.72705107329128 */ |
| OD_KERNEL_FUNC(od_rotate_subh) |
| (sa, s5, &s5h, 15893, 14, 3981, 13, 1489, 11, 0); |
| /* 30853/32768 ~= (Sin[23*Pi/64] + Cos[23*Pi/64])/Sqrt[2] ~= 0.94154406518 */ |
| /* 11039/16384 ~= (Sin[23*Pi/64] - Cos[23*Pi/64])*Sqrt[2] ~= 0.67377970678 */ |
| /* 19813/32768 ~= Cos[23*Pi/64]*Sqrt[2] ~= 0.6046542117908008 */ |
| OD_KERNEL_FUNC(od_rotate_addh) |
| (sd, s2, &s2h, 30853, 15, 11039, 14, 19813, 15, 0); |
| /* 14811/16384 ~= (Sin[25*Pi/64] + Cos[25*Pi/64])/Sqrt[2] ~= 0.90398929312 */ |
| /* 7005/8192 ~= (Sin[25*Pi/64] - Cos[25*Pi/64])*Sqrt[2] ~= 0.8551101868606 */ |
| /* 3903/8192 ~= Cos[25*Pi/64]*Sqrt[2] ~= 0.47643419969316125 */ |
| OD_KERNEL_FUNC(od_rotate_subh) |
| (sc, s3, &s3h, 14811, 14, 7005, 13, 3903, 13, 0); |
| /* 14053/16384 ~= (Sin[27*Pi/64] + Cos[27*Pi/64])/Sqrt[2] ~= 0.85772861000 */ |
| /* 8423/8192 ~= (Sin[27*Pi/64] - Cos[27*Pi/64])*Sqrt[2] ~= 1.0282054883864 */ |
| /* 2815/8192 ~= Cos[27*Pi/64]*Sqrt[2] ~= 0.34362586580705035 */ |
| OD_KERNEL_FUNC(od_rotate_addh) |
| (sb, s4, &s4h, 14053, 14, 8423, 13, 2815, 13, 0); |
| /* 1645/2048 ~= (Sin[29*Pi/64] + Cos[29*Pi/64])/Sqrt[2] ~= 0.8032075314806 */ |
| /* 305/256 ~= (Sin[29*Pi/64] - Cos[29*Pi/64])*Sqrt[2] ~= 1.191398608984867 */ |
| /* 425/2048 ~= Cos[29*Pi/64]*Sqrt[2] ~= 0.20750822698821159 */ |
| OD_KERNEL_FUNC(od_rotate_subh) |
| (s8, s7, &s7h, 1645, 11, 305, 8, 425, 11, 0); |
| /* 24279/32768 ~= (Sin[31*Pi/64] + Cos[31*Pi/64])/Sqrt[2] ~= 0.74095112535 */ |
| /* 44011/32768 ~= (Sin[31*Pi/64] - Cos[31*Pi/64])*Sqrt[2] ~= 1.34311790969 */ |
| /* 1137/16384 ~= Cos[31*Pi/64]*Sqrt[2] ~= 0.06939217050794069 */ |
| OD_KERNEL_FUNC(od_rotate_addh) |
| (sf, s0, &s0h, 24279, 15, 44011, 15, 1137, 14, 0); |
| } |
| |
| static INLINE void OD_KERNEL_FUNC(od_flip_idst16)( |
| OD_REG *s0, OD_REG *s1, OD_REG *s2, OD_REG *s3, OD_REG *s4, OD_REG *s5, |
| OD_REG *s6, OD_REG *s7, OD_REG *s8, OD_REG *s9, OD_REG *sa, OD_REG *sb, |
| OD_REG *sc, OD_REG *sd, OD_REG *se, OD_REG *sf) { |
| OD_KERNEL_FUNC(od_idst16) |
| (s0, s1, s2, s3, s4, s5, s6, s7, s8, s9, sa, sb, sc, sd, se, sf); |
| OD_SWAP(s0, sf); |
| OD_SWAP(s1, se); |
| OD_SWAP(s2, sd); |
| OD_SWAP(s3, sc); |
| OD_SWAP(s4, sb); |
| OD_SWAP(s5, sa); |
| OD_SWAP(s6, s9); |
| OD_SWAP(s7, s8); |
| } |
