File: p_butterfly.h

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/*
 * Copyright (C) 2020 Linux Studio Plugins Project <https://lsp-plug.in/>
 *           (C) 2020 Vladimir Sadovnikov <sadko4u@gmail.com>
 *
 * This file is part of lsp-dsp-lib
 * Created on: 31 мар. 2020 г.
 *
 * lsp-dsp-lib is free software: you can redistribute it and/or modify
 * it under the terms of the GNU Lesser General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * any later version.
 *
 * lsp-dsp-lib is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public License
 * along with lsp-dsp-lib. If not, see <https://www.gnu.org/licenses/>.
 */

#ifndef PRIVATE_DSP_ARCH_X86_AVX_FFT_P_BUTTERFLY_H_
#define PRIVATE_DSP_ARCH_X86_AVX_FFT_P_BUTTERFLY_H_

#ifndef PRIVATE_DSP_ARCH_X86_AVX_IMPL
    #error "This header should not be included directly"
#endif /* PRIVATE_DSP_ARCH_X86_AVX_IMPL */

namespace lsp
{
    namespace avx
    {
        #define FFT_BUTTERFLY_BODY8(add_b, add_a, FMA_SEL) \
            ARCH_X86_ASM \
            ( \
                /* Prepare angle */ \
                __ASM_EMIT("vmovaps         0x00(%[fft_a]), %%ymm6")            /* ymm6 = x_re */ \
                __ASM_EMIT("vmovaps         0x20(%[fft_a]), %%ymm7")            /* ymm7 = x_im */ \
                /* Start loop */ \
                __ASM_EMIT("1:") \
                    __ASM_EMIT("vmovups         0x00(%[dst], %[off1]), %%ymm0")     /* ymm0 = a_re */ \
                    __ASM_EMIT("vmovups         0x20(%[dst], %[off1]), %%ymm1")     /* ymm1 = a_im */ \
                    __ASM_EMIT("vmovups         0x00(%[dst], %[off2]), %%ymm2")     /* ymm2 = b_re */ \
                    __ASM_EMIT("vmovups         0x20(%[dst], %[off2]), %%ymm3")     /* ymm3 = b_im */ \
                    /* Calculate complex multiplication */ \
                    __ASM_EMIT("vmulps          %%ymm7, %%ymm2, %%ymm4")            /* ymm4 = x_im * b_re */ \
                    __ASM_EMIT("vmulps          %%ymm7, %%ymm3, %%ymm5")            /* ymm5 = x_im * b_im */ \
                    __ASM_EMIT(FMA_SEL("vmulps  %%ymm6, %%ymm2, %%ymm2", ""))       /* ymm2 = x_re * b_re */ \
                    __ASM_EMIT(FMA_SEL("vmulps  %%ymm6, %%ymm3, %%ymm3", ""))       /* ymm3 = x_re * b_im */ \
                    __ASM_EMIT(FMA_SEL(add_b "  %%ymm5, %%ymm2, %%ymm5", add_b " %%ymm6, %%ymm2, %%ymm5")) /* ymm5 = c_re = x_re * b_re +- x_im * b_im */ \
                    __ASM_EMIT(FMA_SEL(add_a "  %%ymm4, %%ymm3, %%ymm4", add_a " %%ymm6, %%ymm3, %%ymm4")) /* ymm4 = c_im = x_re * b_im -+ x_im * b_re */ \
                    /* Perform butterfly */ \
                    __ASM_EMIT("vsubps          %%ymm5, %%ymm0, %%ymm2")            /* ymm2 = a_re - c_re */ \
                    __ASM_EMIT("vsubps          %%ymm4, %%ymm1, %%ymm3")            /* ymm3 = a_im - c_im */ \
                    __ASM_EMIT("vaddps          %%ymm5, %%ymm0, %%ymm0")            /* ymm0 = a_re + c_re */ \
                    __ASM_EMIT("vaddps          %%ymm4, %%ymm1, %%ymm1")            /* ymm1 = a_im + c_im */ \
                    /* Store values */ \
                    __ASM_EMIT("vmovups         %%ymm0, 0x00(%[dst], %[off1])") \
                    __ASM_EMIT("vmovups         %%ymm1, 0x20(%[dst], %[off1])") \
                    __ASM_EMIT("vmovups         %%ymm2, 0x00(%[dst], %[off2])") \
                    __ASM_EMIT("vmovups         %%ymm3, 0x20(%[dst], %[off2])") \
                    __ASM_EMIT("add             $0x40, %[off1]") \
                    __ASM_EMIT("add             $0x40, %[off2]") \
                    __ASM_EMIT32("subl          $8, %[np]") \
                    __ASM_EMIT64("subq          $8, %[np]") \
                    __ASM_EMIT("jz              2f") \
                    /* Rotate angle */ \
                    __ASM_EMIT("vmovaps         0x00(%[fft_w]), %%ymm4")            /* xmm4 = w_re */ \
                    __ASM_EMIT("vmovaps         0x20(%[fft_w]), %%ymm5")            /* xmm5 = w_im */ \
                    __ASM_EMIT("vmulps          %%ymm5, %%ymm6, %%ymm2")            /* ymm2 = w_im * x_re */ \
                    __ASM_EMIT("vmulps          %%ymm5, %%ymm7, %%ymm3")            /* ymm3 = w_im * x_im */ \
                    __ASM_EMIT(FMA_SEL("vmulps  %%ymm4, %%ymm6, %%ymm6", ""))       /* ymm6 = w_re * x_re */ \
                    __ASM_EMIT(FMA_SEL("vmulps  %%ymm4, %%ymm7, %%ymm7", ""))       /* ymm7 = w_re * x_im */ \
                    __ASM_EMIT(FMA_SEL("vsubps  %%ymm3, %%ymm6, %%ymm6", "vfmsub132ps %%ymm4, %%ymm3, %%ymm6")) /* ymm6 = x_re' = w_re * x_re - w_im * x_im */ \
                    __ASM_EMIT(FMA_SEL("vaddps  %%ymm2, %%ymm7, %%ymm7", "vfmadd132ps %%ymm4, %%ymm2, %%ymm7")) /* ymm7 = x_im' = w_re * x_im + w_im * x_re */ \
                    /* Repeat loop */ \
                __ASM_EMIT("jmp             1b") \
                __ASM_EMIT("2:") \
                \
                : [off1] "+r" (off1), [off2] "+r" (off2), [np] __ASM_ARG_RW(np) \
                : [dst] "r" (dst), [fft_a] "r" (fft_a), [fft_w] "r" (fft_w) \
                : "cc", "memory",  \
                "%xmm0", "%xmm1", "%xmm2", "%xmm3", \
                "%xmm4", "%xmm5", "%xmm6", "%xmm7"  \
            );

    #define FMA_OFF(a, b)       a
    #define FMA_ON(a, b)        b

        static inline void packed_butterfly_direct8p(float *dst, size_t rank, size_t blocks)
        {
            size_t pairs = 1 << rank;
            size_t off1 = 0, shift = 8 << rank; //1 << (rank + 3);
            const float *fft_a = &FFT_A[(rank - 2) << 4];
            const float *fft_w = &FFT_DW[(rank - 2) << 4];

            for (size_t b=0; b<blocks; ++b)
            {
                size_t off2  = off1 + shift;
                size_t np    = pairs;

                FFT_BUTTERFLY_BODY8("vaddps", "vsubps", FMA_OFF);

                off1        = off2;
            }
        }

        static inline void packed_butterfly_reverse8p(float *dst, size_t rank, size_t blocks)
        {
            size_t pairs = 1 << rank;
            size_t off1 = 0, shift = 8 << rank; // 1 << (rank + 3);
            const float *fft_a = &FFT_A[(rank - 2) << 4];
            const float *fft_w = &FFT_DW[(rank - 2) << 4];

            for (size_t b=0; b<blocks; ++b)
            {
                size_t off2  = off1 + shift;
                size_t np    = pairs;

                FFT_BUTTERFLY_BODY8("vsubps", "vaddps", FMA_OFF);

                off1        = off2;
            }
        }

        static inline void packed_butterfly_direct8p_fma3(float *dst, size_t rank, size_t blocks)
        {
            size_t pairs = 1 << rank;
            size_t off1 = 0, shift = 8 << rank; // 1 << (rank + 3);
            const float *fft_a = &FFT_A[(rank - 2) << 4];
            const float *fft_w = &FFT_DW[(rank - 2) << 4];

            for (size_t b=0; b<blocks; ++b)
            {
                size_t off2  = off1 + shift;
                size_t np    = pairs;

                FFT_BUTTERFLY_BODY8("vfmadd231ps", "vfmsub231ps", FMA_ON);

                off1        = off2;
            }
        }

        static inline void packed_butterfly_reverse8p_fma3(float *dst, size_t rank, size_t blocks)
        {
            size_t pairs = 1 << rank;
            size_t off1 = 0, shift = 8 << rank; // 1 << (rank + 3);
            const float *fft_a = &FFT_A[(rank - 2) << 4];
            const float *fft_w = &FFT_DW[(rank - 2) << 4];

            for (size_t b=0; b<blocks; ++b)
            {
                size_t off2  = off1 + shift;
                size_t np    = pairs;

                FFT_BUTTERFLY_BODY8("vfmsub231ps", "vfmadd231ps", FMA_ON);

                off1        = off2;
            }
        }

    #undef FMA_OFF
    #undef FMA_ON
    #undef FFT_BUTTERFLY_BODY8
    }
}

#endif /* PRIVATE_DSP_ARCH_X86_AVX_FFT_P_BUTTERFLY_H_ */