File: pbutterfly.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_AARCH64_ASIMD_FFT_PBUTTERFLY_H_
#define PRIVATE_DSP_ARCH_AARCH64_ASIMD_FFT_PBUTTERFLY_H_

#ifndef PRIVATE_DSP_ARCH_AARCH64_ASIMD_IMPL
    #error "This header should not be included directly"
#endif /* PRIVATE_DSP_ARCH_AARCH64_ASIMD_IMPL */

namespace lsp
{
    namespace asimd
    {
    #define PBUTTERFLY_RANK3(op1, op2) \
            /* 8x butterflies */ \
            __ASM_EMIT("ldp         q28, q29, [%[XFFT_A], #0x00]")          /* q28  = wr1, q29 = wr2 */ \
            __ASM_EMIT("ldp         q30, q31, [%[XFFT_A], #0x20]")          /* q30  = wi1, q31 = wi2 */ \
            __ASM_EMIT("subs        %[blocks], %[blocks], #2") \
            __ASM_EMIT("b.lo        2f") \
            /* Calculate complex c = w * b */ \
            __ASM_EMIT("1:") \
            __ASM_EMIT("ldp         q0, q4, [%[dst], #0x00]")               /* v0   = ar1, v4 = ai1 */ \
            __ASM_EMIT("ldp         q1, q5, [%[dst], #0x20]")               /* v1   = br1, v5 = bi1 */ \
            __ASM_EMIT("ldp         q2, q6, [%[dst], #0x40]")               /* v2   = ai2, v6 = ai2 */ \
            __ASM_EMIT("ldp         q3, q7, [%[dst], #0x60]")               /* v3   = bi2, v7 = bi2 */ \
            /* Calc cr and ci */ \
            __ASM_EMIT("fmul        v16.4s, v28.4s, v1.4s")                 /* v16  = wr1 * br1 */ \
            __ASM_EMIT("fmul        v17.4s, v29.4s, v3.4s")                 /* v17  = wr2 * br2 */ \
            __ASM_EMIT("fmul        v18.4s, v28.4s, v5.4s")                 /* v18  = wr1 * bi1 */ \
            __ASM_EMIT("fmul        v19.4s, v29.4s, v7.4s")                 /* v19  = wr2 * bi2 */ \
            __ASM_EMIT(op1 "        v16.4s, v30.4s, v5.4s")                 /* v16  = wr1 * br1 +- wi1 * bi1 = cr1 */ \
            __ASM_EMIT(op1 "        v17.4s, v31.4s, v7.4s")                 /* v17  = wr2 * br2 +- wi2 * bi2 = cr2 */ \
            __ASM_EMIT(op2 "        v18.4s, v30.4s, v1.4s")                 /* v18  = wr1 * bi1 -+ wi1 * br1 = ci1 */ \
            __ASM_EMIT(op2 "        v19.4s, v31.4s, v3.4s")                 /* v19  = wr1 * bi1 -+ wi2 * br2 = ci2 */ \
            /* Apply butterfly */ \
            __ASM_EMIT("fsub        v1.4s, v0.4s, v16.4s")                  /* v1   = ar1 - cr1 */ \
            __ASM_EMIT("fsub        v3.4s, v2.4s, v17.4s")                  /* v3   = ar2 - cr2 */ \
            __ASM_EMIT("fsub        v5.4s, v4.4s, v18.4s")                  /* v5   = ai1 - ci1 */ \
            __ASM_EMIT("fsub        v7.4s, v6.4s, v19.4s")                  /* v7   = ai2 - ci2 */ \
            __ASM_EMIT("fadd        v0.4s, v0.4s, v16.4s")                  /* v0   = ar1 + cr1 */ \
            __ASM_EMIT("fadd        v2.4s, v2.4s, v17.4s")                  /* v2   = ar2 + cr2 */ \
            __ASM_EMIT("fadd        v4.4s, v4.4s, v18.4s")                  /* v4   = ai1 + ci1 */ \
            __ASM_EMIT("fadd        v6.4s, v6.4s, v19.4s")                  /* v6   = ai2 + ci2 */ \
            __ASM_EMIT("stp         q0, q4, [%[dst], #0x00]") \
            __ASM_EMIT("stp         q1, q5, [%[dst], #0x20]") \
            __ASM_EMIT("stp         q2, q6, [%[dst], #0x40]") \
            __ASM_EMIT("stp         q3, q7, [%[dst], #0x60]") \
            __ASM_EMIT("subs        %[blocks], %[blocks], #2") \
            __ASM_EMIT("add         %[dst], %[dst], #0x80") \
            __ASM_EMIT("b.ge        1b") \
            __ASM_EMIT("2:") \
            /* 4x butterflies */ \
            __ASM_EMIT("adds        %[blocks], %[blocks], #1") \
            __ASM_EMIT("b.lo        4f") \
            __ASM_EMIT("ldp         q0, q4, [%[dst], #0x00]")               /* v0   = ar1, v4 = ai1 */ \
            __ASM_EMIT("ldp         q1, q5, [%[dst], #0x20]")               /* v1   = br1, v5 = bi1 */ \
            /* Calc cr and ci */ \
            __ASM_EMIT("fmul        v16.4s, v28.4s, v1.4s")                  /* v16  = wr1 * br1 */ \
            __ASM_EMIT("fmul        v18.4s, v28.4s, v5.4s")                  /* v18  = wr1 * bi1 */ \
            __ASM_EMIT(op1 "        v16.4s, v30.4s, v5.4s")                  /* v16  = wr1 * br1 +- wi1 * bi1 = cr1 */ \
            __ASM_EMIT(op2 "        v18.4s, v30.4s, v1.4s")                  /* v18  = wr1 * bi1 -+ wi1 * br1 = ci1 */ \
            /* Apply butterfly */ \
            __ASM_EMIT("fsub        v1.4s, v0.4s, v16.4s")                   /* v1   = ar1 - cr1 */ \
            __ASM_EMIT("fsub        v5.4s, v4.4s, v18.4s")                   /* v5   = ai1 - ci1 */ \
            __ASM_EMIT("fadd        v0.4s, v0.4s, v16.4s")                   /* v0   = ar1 + cr1 */ \
            __ASM_EMIT("fadd        v4.4s, v4.4s, v18.4s")                   /* v4   = ai1 + ci1 */ \
            __ASM_EMIT("stp         q0, q4, [%[dst], #0x00]") \
            __ASM_EMIT("stp         q1, q5, [%[dst], #0x20]") \
            __ASM_EMIT("4:")

        void packed_direct_butterfly_rank3(float *dst, size_t blocks)
        {
            ARCH_AARCH64_ASM(
                PBUTTERFLY_RANK3("fmla", "fmls")
                : [dst] "+r" (dst), [blocks] "+r" (blocks)
                : [XFFT_A] "r" (&XFFT_A[0])
                : "cc", "memory",
                  "v0", "v1", "v2", "v3",
                  "v4", "v5", "v6", "v7",
                  "v16", "v17", "v18", "v19",
                  "v28", "v29", "v30", "v31"
            );
        }

        void packed_reverse_butterfly_rank3(float *dst, size_t blocks)
        {
            ARCH_AARCH64_ASM(
                PBUTTERFLY_RANK3("fmls", "fmla")
                : [dst] "+r" (dst),
                  [blocks] "+r" (blocks)
                : [XFFT_A] "r" (&XFFT_A[0])
                : "cc", "memory",
                  "v0", "v1", "v2", "v3",
                  "v4", "v5", "v6", "v7",
                  "v16", "v17", "v18", "v19",
                  "v28", "v29", "v30", "v31"
            );
        }

        #undef PBUTTERFLY_RANK3

    #define BUTTERFLY_RANK4(op1, op2) \
        __ASM_EMIT("1:") \
            /* Initialize sub-loop */ \
            __ASM_EMIT("mov         %[pairs], #1")                          /* pairs = 1 */ \
            __ASM_EMIT("ldp         q28, q29, [%[XFFT_A], #0x00]")          /* q28  = wr1, q29 = wr2 */ \
            __ASM_EMIT("ldp         q30, q31, [%[XFFT_A], #0x20]")          /* q30  = wi1, q31 = wi2 */ \
            __ASM_EMIT("ldp         q24, q25, [%[XFFT_W], #0x00]")          /* q24  = dr,  q25 = di  */ \
            __ASM_EMIT("lsl         %[pairs], %[pairs], %[rank]")           /* pairs = 1 << rank */ \
            __ASM_EMIT("add         %[b], %[a], %[pairs], LSL #5")          /* b    = &a[pairs*8] */ \
            /* 8x butterflies */ \
            /* Calculate complex c = w * b */ \
            __ASM_EMIT("3:") \
            __ASM_EMIT("ldp         q0, q2, [%[a], #0x00]")                 /* v0   = ar1, v2 = ai1 */ \
            __ASM_EMIT("ldp         q1, q3, [%[a], #0x20]")                 /* v1   = ar2, v3 = ai2 */ \
            __ASM_EMIT("ldp         q4, q6, [%[b], #0x00]")                 /* v4   = br1, v6 = bi1 */ \
            __ASM_EMIT("ldp         q5, q7, [%[b], #0x20]")                 /* v5   = br2, v7 = bi2 */ \
            /* Calc cr and ci */ \
            __ASM_EMIT("fmul        v16.4s, v28.4s, v4.4s")                 /* v16  = wr1 * br1 */ \
            __ASM_EMIT("fmul        v17.4s, v29.4s, v5.4s")                 /* v17  = wr2 * br2 */ \
            __ASM_EMIT("fmul        v18.4s, v28.4s, v6.4s")                 /* v18  = wr1 * bi1 */ \
            __ASM_EMIT("fmul        v19.4s, v29.4s, v7.4s")                 /* v19  = wr2 * bi2 */ \
            __ASM_EMIT(op1 "        v16.4s, v30.4s, v6.4s")                 /* v16  = wr1 * br1 +- wi1 * bi1 = cr1 */ \
            __ASM_EMIT(op1 "        v17.4s, v31.4s, v7.4s")                 /* v17  = wr2 * br2 +- wi2 * bi2 = cr2 */ \
            __ASM_EMIT(op2 "        v18.4s, v30.4s, v4.4s")                 /* v18  = wr1 * bi1 -+ wi1 * br1 = ci1 */ \
            __ASM_EMIT(op2 "        v19.4s, v31.4s, v5.4s")                 /* v19  = wr1 * bi1 -+ wi2 * br2 = ci2 */ \
            /* Apply butterfly */ \
            __ASM_EMIT("fsub        v4.4s, v0.4s, v16.4s")                  /* v4   = ar1 - cr1 */ \
            __ASM_EMIT("fsub        v5.4s, v1.4s, v17.4s")                  /* v5   = ar2 - cr2 */ \
            __ASM_EMIT("fsub        v6.4s, v2.4s, v18.4s")                  /* v6   = ai1 - ci1 */ \
            __ASM_EMIT("fsub        v7.4s, v3.4s, v19.4s")                  /* v7   = ai2 - ci2 */ \
            __ASM_EMIT("fadd        v0.4s, v0.4s, v16.4s")                  /* v0   = ar1 + cr1 */ \
            __ASM_EMIT("fadd        v1.4s, v1.4s, v17.4s")                  /* v1   = ar2 + cr2 */ \
            __ASM_EMIT("fadd        v2.4s, v2.4s, v18.4s")                  /* v2   = ai1 + ci1 */ \
            __ASM_EMIT("fadd        v3.4s, v3.4s, v19.4s")                  /* v3   = ai2 + ci2 */ \
            __ASM_EMIT("stp         q0, q2, [%[a], #0x00]") \
            __ASM_EMIT("stp         q1, q3, [%[a], #0x20]") \
            __ASM_EMIT("stp         q4, q6, [%[b], #0x00]") \
            __ASM_EMIT("stp         q5, q7, [%[b], #0x20]") \
            __ASM_EMIT("subs        %[pairs], %[pairs], #2") \
            __ASM_EMIT("add         %[a], %[a], #0x40") \
            __ASM_EMIT("add         %[b], %[b], #0x40") \
            __ASM_EMIT("b.le        4f") \
            /* Prepare next loop: rotate angle */ \
            __ASM_EMIT("fmul        v16.4s, v28.4s, v25.4s")                /* v16  = wr1 * di */ \
            __ASM_EMIT("fmul        v17.4s, v29.4s, v25.4s")                /* v17  = wr2 * di */ \
            __ASM_EMIT("fmul        v18.4s, v30.4s, v25.4s")                /* v18  = wi1 * di */ \
            __ASM_EMIT("fmul        v19.4s, v31.4s, v25.4s")                /* v19  = wi2 * di */ \
            __ASM_EMIT("fmul        v28.4s, v28.4s, v24.4s")                /* v28  = wr1 * dr */ \
            __ASM_EMIT("fmul        v29.4s, v29.4s, v24.4s")                /* v29  = wr2 * dr */ \
            __ASM_EMIT("fmul        v30.4s, v30.4s, v24.4s")                /* v30  = wi1 * dr */ \
            __ASM_EMIT("fmul        v31.4s, v31.4s, v24.4s")                /* v31  = wi2 * dr */ \
            __ASM_EMIT("fsub        v28.4s, v28.4s, v18.4s")                /* v28  = wr1*dr - wi1*di */ \
            __ASM_EMIT("fsub        v29.4s, v29.4s, v19.4s")                /* v29  = wr2*dr - wi2*di */ \
            __ASM_EMIT("fadd        v30.4s, v30.4s, v16.4s")                /* v30  = wi1*dr + wr1*di */ \
            __ASM_EMIT("fadd        v31.4s, v31.4s, v17.4s")                /* v31  = wi2*dr + wr2*di */ \
            __ASM_EMIT("b           3b") \
        __ASM_EMIT("4:") \
        __ASM_EMIT("subs        %[blocks], %[blocks], #1") \
        __ASM_EMIT("mov         %[a], %[b]") \
        __ASM_EMIT("b.gt        1b")

        void packed_direct_butterfly_rank4p(float *dst, size_t rank, size_t blocks)
        {
            IF_ARCH_AARCH64(
                rank -= 3;
                const float *xfft_a = &XFFT_A[rank << 4];
                const float *xfft_dw = &XFFT_DW[rank << 3];
                float *b;
                size_t pairs;
            )

            ARCH_AARCH64_ASM(
                BUTTERFLY_RANK4("fmla", "fmls")
                : [a] "+r" (dst), [b] "=&r" (b),
                  [blocks] "+r" (blocks), [pairs] "=&r" (pairs)
                : [XFFT_A] "r" (xfft_a), [XFFT_W] "r" (xfft_dw),
                  [rank] "r" (rank)
                : "cc", "memory",
                  "v0", "v1", "v2", "v3",
                  "v4", "v5", "v6", "v7",
                  "v16", "v17", "v18", "v19",
                  "v24", "v25",
                  "v28", "v29", "v30", "v31"
            );
        }

        void packed_reverse_butterfly_rank4p(float *dst, size_t rank, size_t blocks)
        {
            IF_ARCH_AARCH64(
                rank -= 3;
                const float *xfft_a = &XFFT_A[rank << 4];
                const float *xfft_dw = &XFFT_DW[rank << 3];
                float *b;
                size_t pairs;
            )

            ARCH_AARCH64_ASM(
                BUTTERFLY_RANK4("fmls", "fmla")
                : [a] "+r" (dst), [b] "=&r" (b),
                  [blocks] "+r" (blocks), [pairs] "=&r" (pairs)
                : [XFFT_A] "r" (xfft_a), [XFFT_W] "r" (xfft_dw),
                  [rank] "r" (rank)
                : "cc", "memory",
                  "v0", "v1", "v2", "v3",
                  "v4", "v5", "v6", "v7",
                  "v16", "v17", "v18", "v19",
                  "v24", "v25",
                  "v28", "v29", "v30", "v31"
            );
        }

        #undef PBUTTERFLY_RANK4
    }
}

#endif /* PRIVATE_DSP_ARCH_AARCH64_ASIMD_FFT_PBUTTERFLY_H_ */