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_SSE_FFT_P_BUTTERFLY_H_
#define PRIVATE_DSP_ARCH_X86_SSE_FFT_P_BUTTERFLY_H_

#ifndef PRIVATE_DSP_ARCH_X86_SSE_IMPL
    #error "This header should not be included directly"
#endif /* PRIVATE_DSP_ARCH_X86_SSE_IMPL */

namespace lsp
{
    namespace sse
    {
        #define FFT_BUTTERFLY_BODY(add_b, add_a) \
            /* Init pointers */ \
            float *a        = &dst[blk*pairs*2]; \
            float *b        = &a[pairs]; \
            size_t p        = pairs; \
            __IF_32(size_t tmp1); \
            \
            ARCH_X86_ASM \
            ( \
                /* Prepare angle */ \
                __ASM_EMIT32("mov       %[a], %[tmp1]") \
                __ASM_EMIT32("mov       %[XFFT_A], %[a]") \
                __ASM_EMIT32("movaps    0x00(%[a], %[rank]), %%xmm6")        /* xmm6 = angle_re[0..3] */ \
                __ASM_EMIT32("movaps    0x10(%[a], %[rank]), %%xmm7")        /* xmm7 = angle_im[0..3] */ \
                __ASM_EMIT32("mov       %[tmp1], %[a]") \
                __ASM_EMIT64("movaps    0x00(%[XFFT_A], %[rank]), %%xmm6")   /* xmm6 = angle_re[0..3] */ \
                __ASM_EMIT64("movaps    0x10(%[XFFT_A], %[rank]), %%xmm7")   /* xmm7 = angle_im[0..3] */ \
                /* Start loop */ \
                __ASM_EMIT(".align 16") \
                __ASM_EMIT("1:") \
                \
                /* Load complex values */ \
                /* predicate: xmm6 = w_re[0..3] */ \
                /* predicate: xmm7 = w_im[0..3] */ \
                __ASM_EMIT("movups      0x00(%[a]), %%xmm0")   /* xmm0 = a_re[0..3] */ \
                __ASM_EMIT("movups      0x10(%[a]), %%xmm1")   /* xmm1 = a_im[0..3] */ \
                __ASM_EMIT("movups      0x00(%[b]), %%xmm2")   /* xmm2 = b_re[0..3] */ \
                __ASM_EMIT("movups      0x10(%[b]), %%xmm3")   /* xmm3 = b_im[0..3] */ \
                \
                /* Calculate complex multiplication */ \
                __ASM_EMIT("movaps      %%xmm2, %%xmm4") /* xmm4 = b_re[0..3] */ \
                __ASM_EMIT("movaps      %%xmm3, %%xmm5") /* xmm5 = b_im[0..3] */ \
                __ASM_EMIT("mulps       %%xmm6, %%xmm2") /* xmm2 = w_re[0..3] * b_re[0..3] */ \
                __ASM_EMIT("mulps       %%xmm7, %%xmm4") /* xmm4 = w_im[0..3] * b_re[0..3] */ \
                __ASM_EMIT("mulps       %%xmm6, %%xmm3") /* xmm3 = w_re[0..3] * b_im[0..3] */ \
                __ASM_EMIT("mulps       %%xmm7, %%xmm5") /* xmm5 = w_im[0..3] * b_im[0..3] */ \
                __ASM_EMIT(add_a "      %%xmm4, %%xmm3") /* xmm3 = c_im[0..3] = w_re[0..3] * b_im[0..3] -+ w_im[0..3] * b_re[0..3] */ \
                __ASM_EMIT(add_b "      %%xmm5, %%xmm2") /* xmm2 = c_re[0..3] = w_re[0..3] * b_re[0..3] +- w_im[0..3] * b_im[0..3] */ \
                \
                /* Perform butterfly */ \
                __ASM_EMIT("movaps      %%xmm0, %%xmm4") /* xmm4 = a_re[0..3] */ \
                __ASM_EMIT("movaps      %%xmm1, %%xmm5") /* xmm5 = a_im[0..3] */ \
                __ASM_EMIT("subps       %%xmm2, %%xmm0") /* xmm0 = a_re[0..3] - c_re[0..3] */ \
                __ASM_EMIT("subps       %%xmm3, %%xmm1") /* xmm1 = a_im[0..3] - c_im[0..3] */ \
                __ASM_EMIT("addps       %%xmm4, %%xmm2") /* xmm2 = a_re[0..3] + c_re[0..3] */ \
                __ASM_EMIT("addps       %%xmm5, %%xmm3") /* xmm3 = a_im[0..3] + c_im[0..3] */ \
                \
                /* Store values */ \
                __ASM_EMIT("movups      %%xmm2, 0x00(%[a])") \
                __ASM_EMIT("movups      %%xmm3, 0x10(%[a])") \
                __ASM_EMIT("movups      %%xmm0, 0x00(%[b])") \
                __ASM_EMIT("movups      %%xmm1, 0x10(%[b])") \
                \
                /* Update pointers */ \
                __ASM_EMIT("add         $0x20, %[a]") \
                __ASM_EMIT("add         $0x20, %[b]") \
                \
                /* Repeat loop */ \
                __ASM_EMIT("sub         $8, %[p]") \
                __ASM_EMIT("jz          2f") \
                \
                /* Rotate angle */ \
                __ASM_EMIT("movaps      0x00(%[XFFT_W], %[rank]), %%xmm0")      /* xmm0 = w_re[0..3] */ \
                __ASM_EMIT("movaps      0x10(%[XFFT_W], %[rank]), %%xmm1")      /* xmm1 = w_im[0..3] */ \
                \
                __ASM_EMIT("movaps      %%xmm0, %%xmm2")                        /* xmm2 = w_re[0..3] */ \
                __ASM_EMIT("movaps      %%xmm1, %%xmm3")                        /* xmm3 = w_im[0..3] */ \
                \
                __ASM_EMIT("mulps       %%xmm6, %%xmm3")                        /* xmm3 = a_re[0..3] * w_im[0..3] */ \
                __ASM_EMIT("mulps       %%xmm7, %%xmm1")                        /* xmm1 = a_im[0..3] * w_im[0..3] */ \
                __ASM_EMIT("mulps       %%xmm0, %%xmm6")                        /* xmm6 = a_re[0..3] * w_re[0..3] */ \
                __ASM_EMIT("mulps       %%xmm2, %%xmm7")                        /* xmm7 = a_im[0..3] * w_re[0..3] */ \
                __ASM_EMIT("subps       %%xmm1, %%xmm6")                        /* xmm6 = a_re[0..3] * w_re[0..3] + a_im[0..3] * w_im[0..3] */ \
                __ASM_EMIT("addps       %%xmm3, %%xmm7")                        /* xmm7 = a_im[0..3] * w_re[0..3] - a_re[0..3] * w_im[0..3] */ \
                \
                /* Repeat loop */ \
                __ASM_EMIT("jmp         1b") \
                __ASM_EMIT("2:") \
                \
                : [a] "+r" (a), [b] "+r"(b), [p] "+r" (p) \
                : [rank] "r" (rank), [XFFT_W] "r"(XFFT_W), \
                  __IF_64([XFFT_A] "r" (XFFT_A)) \
                  __IF_32([XFFT_A] "g" (&XFFT_A[0]), [tmp1] "g" (&tmp1)) \
                : "cc", "memory",  \
                "%xmm0", "%xmm1", "%xmm2", "%xmm3", \
                "%xmm4", "%xmm5", "%xmm6", "%xmm7" \
            );

        static inline void packed_butterfly_direct(float *dst, size_t rank, size_t blocks)
        {
            size_t pairs = 1 << (rank + 1);
            rank = (rank - 2) << 5;

            for (size_t blk=0; blk<blocks; ++blk)
            {
                FFT_BUTTERFLY_BODY("addps", "subps");
            }
        }

        static inline void packed_butterfly_reverse(float *dst, size_t rank, size_t blocks)
        {
            size_t pairs = 1 << (rank + 1);
            rank = (rank - 2) << 5;

            for (size_t blk=0; blk<blocks; ++blk)
            {
                FFT_BUTTERFLY_BODY("subps", "addps");
            }
        }

        #undef FFT_BUTTERFLY_BODY
    } /* namespace sse */
} /* namespace lsp */

#endif /* PRIVATE_DSP_ARCH_X86_SSE_FFT_P_BUTTERFLY_H_ */