root/libfftss/r4_u4.c

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DEFINITIONS

This source file includes following definitions.
  1. kern_r4_u4_f
  2. kern_r4_u4_b
  3. fftss_r4_u4_f
  4. fftss_r4_u4_b
/*
 * Copyright (C) 2002-2007 Akira Nukada. All rights reserved.
 * Copyright (C) 2002-2007 The SSI Project. All rights reserved. 
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 *     * Redistributions of source code must retain the above copyright
 *       notice, this list of conditions and the following disclaimer.
 *     * Redistributions in binary form must reproduce the above copyright
 *       notice, this list of conditions and the following disclaimer in the
 *       documentation and/or other materials provided with the distribution.
 *     * Neither the name of the project nor the names of its contributors 
 *       may be used to endorse or promote products derived from this software 
 *       without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE SSI PROJECT ``AS IS'' AND ANY EXPRESS 
 * OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED 
 * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
 * DISCLAIMED. IN NO EVENT SHALL THE SSI PROJECT BE LIABLE FOR ANY DIRECT,
 * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
 * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
 *  STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
 * THE POSSIBILITY OF SUCH DAMAGE.
 *
 */
#include "libfftss.h"

static inline void kern_r4_u4_f(double *restrict o0,
                                 double *restrict o1,
                                 double *restrict o2,
                                 double *restrict o3,
                                 double *i0, 
                                 double *i1, 
                                 double *i2, 
                                 double *i3, 
                                 double *w,
                                 long bsize, long blocks)
{
  long i;

  for (i = 0; i < blocks; i++) {
    double wr1, wi1;
    double wr2, wi2;
    double wr3, wi3;
    double pr1, pi1;
    double pr2, pi2;
    double pr3, pi3;
    double qr0, qi0;
    double qr1, qi1;
    double qr2, qi2;
    double qr3, qi3;
    
    wr1 = w[8 * i]; wi1 = w[8 * i + 1];
    wr2 = w[16 * i]; wi2 = w[16 * i + 1];
    wr3 = w[24 * i]; wi3 = w[24 * i + 1];
      
    pr1 = i1[32 * i] * wr1 + i1[32 * i + 1] * wi1;
    pi1 = i1[32 * i + 1] * wr1 - i1[32 * i] * wi1;
    pr2 = i2[32 * i] * wr2 + i2[32 * i + 1] * wi2;
    pi2 = i2[32 * i + 1] * wr2 - i2[32 * i] * wi2;
    pr3 = i3[32 * i] * wr3 + i3[32 * i + 1] * wi3;
    pi3 = i3[32 * i + 1] * wr3 - i3[32 * i] * wi3;
      
    qr0 = i0[32 * i] + pr2; qr2 = i0[32 * i] - pr2;
    qi0 = i0[32 * i + 1] + pi2; qi2 = i0[32 * i + 1] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;
      
    pr1 = i1[32 * i + 2] * wr1 + i1[32 * i + 3] * wi1;
    pi1 = i1[32 * i + 3] * wr1 - i1[32 * i + 2] * wi1;
    pr2 = i2[32 * i + 2] * wr2 + i2[32 * i + 3] * wi2;
    pi2 = i2[32 * i + 3] * wr2 - i2[32 * i + 2] * wi2;
    pr3 = i3[32 * i + 2] * wr3 + i3[32 * i + 3] * wi3;
    pi3 = i3[32 * i + 3] * wr3 - i3[32 * i + 2] * wi3;
      
    o0[8 * i] = qr0 + qr1; o0[8 * i + 1] = qi0 + qi1;
    o2[8 * i] = qr0 - qr1; o2[8 * i + 1] = qi0 - qi1;
    o1[8 * i] = qr2 + qi3; o1[8 * i + 1] = qi2 - qr3;
    o3[8 * i] = qr2 - qi3; o3[8 * i + 1] = qi2 + qr3;

    qr0 = i0[32 * i + 2] + pr2; qr2 = i0[32 * i + 2] - pr2;
    qi0 = i0[32 * i + 3] + pi2; qi2 = i0[32 * i + 3] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;
      
    pr1 = i1[32 * i + 4] * wr1 + i1[32 * i + 5] * wi1;
    pi1 = i1[32 * i + 5] * wr1 - i1[32 * i + 4] * wi1;
    pr2 = i2[32 * i + 4] * wr2 + i2[32 * i + 5] * wi2;
    pi2 = i2[32 * i + 5] * wr2 - i2[32 * i + 4] * wi2;
    pr3 = i3[32 * i + 4] * wr3 + i3[32 * i + 5] * wi3;
    pi3 = i3[32 * i + 5] * wr3 - i3[32 * i + 4] * wi3;
      
    o0[8 * i + 2] = qr0 + qr1; o0[8 * i + 3] = qi0 + qi1;
    o2[8 * i + 2] = qr0 - qr1; o2[8 * i + 3] = qi0 - qi1;
    o1[8 * i + 2] = qr2 + qi3; o1[8 * i + 3] = qi2 - qr3;
    o3[8 * i + 2] = qr2 - qi3; o3[8 * i + 3] = qi2 + qr3;

    qr0 = i0[32 * i + 4] + pr2; qr2 = i0[32 * i + 4] - pr2;
    qi0 = i0[32 * i + 5] + pi2; qi2 = i0[32 * i + 5] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;
      
    pr1 = i1[32 * i + 6] * wr1 + i1[32 * i + 7] * wi1;
    pi1 = i1[32 * i + 7] * wr1 - i1[32 * i + 6] * wi1;
    pr2 = i2[32 * i + 6] * wr2 + i2[32 * i + 7] * wi2;
    pi2 = i2[32 * i + 7] * wr2 - i2[32 * i + 6] * wi2;
    pr3 = i3[32 * i + 6] * wr3 + i3[32 * i + 7] * wi3;
    pi3 = i3[32 * i + 7] * wr3 - i3[32 * i + 6] * wi3;
      
    o0[8 * i + 4] = qr0 + qr1; o0[8 * i + 5] = qi0 + qi1;
    o2[8 * i + 4] = qr0 - qr1; o2[8 * i + 5] = qi0 - qi1;
    o1[8 * i + 4] = qr2 + qi3; o1[8 * i + 5] = qi2 - qr3;
    o3[8 * i + 4] = qr2 - qi3; o3[8 * i + 5] = qi2 + qr3;

    qr0 = i0[32 * i + 6] + pr2; qr2 = i0[32 * i + 6] - pr2;
    qi0 = i0[32 * i + 7] + pi2; qi2 = i0[32 * i + 7] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;
      
    o0[8 * i + 6] = qr0 + qr1; o0[8 * i + 7] = qi0 + qi1;
    o2[8 * i + 6] = qr0 - qr1; o2[8 * i + 7] = qi0 - qi1;
    o1[8 * i + 6] = qr2 + qi3; o1[8 * i + 7] = qi2 - qr3;
    o3[8 * i + 6] = qr2 - qi3; o3[8 * i + 7] = qi2 + qr3;

  }
}

static inline void kern_r4_u4_b(double *restrict o0,
                                double *restrict o1,
                                double *restrict o2,
                                double *restrict o3,
                                double *i0, 
                                double *i1, 
                                double *i2, 
                                double *i3, 
                                double *w,
                                long bsize, long blocks)
{
  long i;

  for (i = 0; i < blocks; i++) {
    double wr1, wi1;
    double wr2, wi2;
    double wr3, wi3;
    double pr1, pi1;
    double pr2, pi2;
    double pr3, pi3;
    double qr0, qi0;
    double qr1, qi1;
    double qr2, qi2;
    double qr3, qi3;
    
    wr1 = w[8 * i]; wi1 = w[8 * i + 1];
    wr2 = w[16 * i]; wi2 = w[16 * i + 1];
    wr3 = w[24 * i]; wi3 = w[24 * i + 1];

    pr1 = i1[32 * i] * wr1 - i1[32 * i + 1] * wi1;
    pi1 = i1[32 * i] * wi1 + i1[32 * i + 1] * wr1;
    pr2 = i2[32 * i] * wr2 - i2[32 * i + 1] * wi2;
    pi2 = i2[32 * i] * wi2 + i2[32 * i + 1] * wr2;
    pr3 = i3[32 * i] * wr3 - i3[32 * i + 1] * wi3;
    pi3 = i3[32 * i] * wi3 + i3[32 * i + 1] * wr3;
    
    qr0 = i0[32 * i] + pr2; qr2 = i0[32 * i] - pr2;
    qi0 = i0[32 * i + 1] + pi2; qi2 = i0[32 * i + 1] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;

    pr1 = i1[32 * i + 2] * wr1 - i1[32 * i + 3] * wi1;
    pi1 = i1[32 * i + 2] * wi1 + i1[32 * i + 3] * wr1;
    pr2 = i2[32 * i + 2] * wr2 - i2[32 * i + 3] * wi2;
    pi2 = i2[32 * i + 2] * wi2 + i2[32 * i + 3] * wr2;
    pr3 = i3[32 * i + 2] * wr3 - i3[32 * i + 3] * wi3;
    pi3 = i3[32 * i + 2] * wi3 + i3[32 * i + 3] * wr3;
      
    o0[8 * i] = qr0 + qr1; o0[8 * i + 1] = qi0 + qi1;
    o2[8 * i] = qr0 - qr1; o2[8 * i + 1] = qi0 - qi1;
    o1[8 * i] = qr2 - qi3; o1[8 * i + 1] = qi2 + qr3;
    o3[8 * i] = qr2 + qi3; o3[8 * i + 1] = qi2 - qr3;

    qr0 = i0[32 * i + 2] + pr2; qr2 = i0[32 * i + 2] - pr2;
    qi0 = i0[32 * i + 3] + pi2; qi2 = i0[32 * i + 3] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;

    pr1 = i1[32 * i + 4] * wr1 - i1[32 * i + 5] * wi1;
    pi1 = i1[32 * i + 4] * wi1 + i1[32 * i + 5] * wr1;
    pr2 = i2[32 * i + 4] * wr2 - i2[32 * i + 5] * wi2;
    pi2 = i2[32 * i + 4] * wi2 + i2[32 * i + 5] * wr2;
    pr3 = i3[32 * i + 4] * wr3 - i3[32 * i + 5] * wi3;
    pi3 = i3[32 * i + 4] * wi3 + i3[32 * i + 5] * wr3;
      
    o0[8 * i + 2] = qr0 + qr1; o0[8 * i + 3] = qi0 + qi1;
    o2[8 * i + 2] = qr0 - qr1; o2[8 * i + 3] = qi0 - qi1;
    o1[8 * i + 2] = qr2 - qi3; o1[8 * i + 3] = qi2 + qr3;
    o3[8 * i + 2] = qr2 + qi3; o3[8 * i + 3] = qi2 - qr3;

    qr0 = i0[32 * i + 4] + pr2; qr2 = i0[32 * i + 4] - pr2;
    qi0 = i0[32 * i + 5] + pi2; qi2 = i0[32 * i + 5] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;

    pr1 = i1[32 * i + 6] * wr1 - i1[32 * i + 7] * wi1;
    pi1 = i1[32 * i + 6] * wi1 + i1[32 * i + 7] * wr1;
    pr2 = i2[32 * i + 6] * wr2 - i2[32 * i + 7] * wi2;
    pi2 = i2[32 * i + 6] * wi2 + i2[32 * i + 7] * wr2;
    pr3 = i3[32 * i + 6] * wr3 - i3[32 * i + 7] * wi3;
    pi3 = i3[32 * i + 6] * wi3 + i3[32 * i + 7] * wr3;
      
    o0[8 * i + 4] = qr0 + qr1; o0[8 * i + 5] = qi0 + qi1;
    o2[8 * i + 4] = qr0 - qr1; o2[8 * i + 5] = qi0 - qi1;
    o1[8 * i + 4] = qr2 - qi3; o1[8 * i + 5] = qi2 + qr3;
    o3[8 * i + 4] = qr2 + qi3; o3[8 * i + 5] = qi2 - qr3;

    qr0 = i0[32 * i + 6] + pr2; qr2 = i0[32 * i + 6] - pr2;
    qi0 = i0[32 * i + 7] + pi2; qi2 = i0[32 * i + 7] - pi2; 
    qr1 = pr1 + pr3; qr3 = pr1 - pr3;
    qi1 = pi1 + pi3; qi3 = pi1 - pi3;

    o0[8 * i + 6] = qr0 + qr1; o0[8 * i + 7] = qi0 + qi1;
    o2[8 * i + 6] = qr0 - qr1; o2[8 * i + 7] = qi0 - qi1;
    o1[8 * i + 6] = qr2 - qi3; o1[8 * i + 7] = qi2 + qr3;
    o3[8 * i + 6] = qr2 + qi3; o3[8 * i + 7] = qi2 - qr3;
  }
}

void fftss_r4_u4_f(double *in, double *out, double *w,
             long bsize, long blocks)
{
  kern_r4_u4_f(out, out + bsize * blocks * 2, 
                out + bsize * blocks * 4, out + bsize * blocks * 6,
                in, in + bsize * 2,
                in + bsize * 4, in + bsize * 6,
                w, bsize, blocks);
}

void fftss_r4_u4_b(double *in, double *out, double *w,
                     long bsize, long blocks)
{
  kern_r4_u4_b(out, out + bsize * blocks * 2, 
                out + bsize * blocks * 4, out + bsize * blocks * 6,
                in, in + bsize * 2,
                in + bsize * 4, in + bsize * 6,
                w, bsize, blocks);
}
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