t2fv_32.c

快速fft变换

 * (or, 201 additions, 88 multiplications, 16 fused multiply/add),
 * 59 stack variables, 7 constants, and 64 memory accesses
 */
#include "t2f.h"

static void t2fv_32(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
{
     DVK(KP555570233, +0.555570233019602224742830813948532874374937191);
     DVK(KP831469612, +0.831469612302545237078788377617905756738560812);
     DVK(KP195090322, +0.195090322016128267848284868477022240927691618);
     DVK(KP980785280, +0.980785280403230449126182236134239036973933731);
     DVK(KP382683432, +0.382683432365089771728459984030398866761344562);
     DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
     DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
     INT m;
     R *x;
     x = ri;
     for (m = mb, W = W + (mb * ((TWVL / VL) * 62)); m < me; m = m + VL, x = x + (VL * ms), W = W + (TWVL * 62), MAKE_VOLATILE_STRIDE(rs)) {
	  V T4, T1A, T2o, T32, Tf, T1v, T2r, T3f, TC, T1C, T2L, T34, Tr, T1D, T2O;
	  V T33, T1k, T20, T2F, T3b, T1r, T21, T2C, T3a, TV, T1X, T2y, T38, T12, T1Y;
	  V T2v, T37;
	  {
	       V T1, T1z, T3, T1x, T1y, T2, T1w, T2m, T2n;
	       T1 = LD(&(x[0]), ms, &(x[0]));
	       T1y = LD(&(x[WS(rs, 24)]), ms, &(x[0]));
	       T1z = BYTWJ(&(W[TWVL * 46]), T1y);
	       T2 = LD(&(x[WS(rs, 16)]), ms, &(x[0]));
	       T3 = BYTWJ(&(W[TWVL * 30]), T2);
	       T1w = LD(&(x[WS(rs, 8)]), ms, &(x[0]));
	       T1x = BYTWJ(&(W[TWVL * 14]), T1w);
	       T4 = VSUB(T1, T3);
	       T1A = VSUB(T1x, T1z);
	       T2m = VADD(T1, T3);
	       T2n = VADD(T1x, T1z);
	       T2o = VADD(T2m, T2n);
	       T32 = VSUB(T2m, T2n);
	  }
	  {
	       V T6, Td, T8, Tb;
	       {
		    V T5, Tc, T7, Ta;
		    T5 = LD(&(x[WS(rs, 4)]), ms, &(x[0]));
		    T6 = BYTWJ(&(W[TWVL * 6]), T5);
		    Tc = LD(&(x[WS(rs, 12)]), ms, &(x[0]));
		    Td = BYTWJ(&(W[TWVL * 22]), Tc);
		    T7 = LD(&(x[WS(rs, 20)]), ms, &(x[0]));
		    T8 = BYTWJ(&(W[TWVL * 38]), T7);
		    Ta = LD(&(x[WS(rs, 28)]), ms, &(x[0]));
		    Tb = BYTWJ(&(W[TWVL * 54]), Ta);
	       }
	       {
		    V T9, Te, T2p, T2q;
		    T9 = VSUB(T6, T8);
		    Te = VSUB(Tb, Td);
		    Tf = VMUL(LDK(KP707106781), VADD(T9, Te));
		    T1v = VMUL(LDK(KP707106781), VSUB(Te, T9));
		    T2p = VADD(T6, T8);
		    T2q = VADD(Tb, Td);
		    T2r = VADD(T2p, T2q);
		    T3f = VSUB(T2q, T2p);
	       }
	  }
	  {
	       V Tt, TA, Tv, Ty;
	       {
		    V Ts, Tz, Tu, Tx;
		    Ts = LD(&(x[WS(rs, 30)]), ms, &(x[0]));
		    Tt = BYTWJ(&(W[TWVL * 58]), Ts);
		    Tz = LD(&(x[WS(rs, 22)]), ms, &(x[0]));
		    TA = BYTWJ(&(W[TWVL * 42]), Tz);
		    Tu = LD(&(x[WS(rs, 14)]), ms, &(x[0]));
		    Tv = BYTWJ(&(W[TWVL * 26]), Tu);
		    Tx = LD(&(x[WS(rs, 6)]), ms, &(x[0]));
		    Ty = BYTWJ(&(W[TWVL * 10]), Tx);
	       }
	       {
		    V Tw, TB, T2J, T2K;
		    Tw = VSUB(Tt, Tv);
		    TB = VSUB(Ty, TA);
		    TC = VFMA(LDK(KP923879532), Tw, VMUL(LDK(KP382683432), TB));
		    T1C = VFNMS(LDK(KP923879532), TB, VMUL(LDK(KP382683432), Tw));
		    T2J = VADD(Tt, Tv);
		    T2K = VADD(Ty, TA);
		    T2L = VADD(T2J, T2K);
		    T34 = VSUB(T2J, T2K);
	       }
	  }
	  {
	       V Ti, Tp, Tk, Tn;
	       {
		    V Th, To, Tj, Tm;
		    Th = LD(&(x[WS(rs, 2)]), ms, &(x[0]));
		    Ti = BYTWJ(&(W[TWVL * 2]), Th);
		    To = LD(&(x[WS(rs, 26)]), ms, &(x[0]));
		    Tp = BYTWJ(&(W[TWVL * 50]), To);
		    Tj = LD(&(x[WS(rs, 18)]), ms, &(x[0]));
		    Tk = BYTWJ(&(W[TWVL * 34]), Tj);
		    Tm = LD(&(x[WS(rs, 10)]), ms, &(x[0]));
		    Tn = BYTWJ(&(W[TWVL * 18]), Tm);
	       }
	       {
		    V Tl, Tq, T2M, T2N;
		    Tl = VSUB(Ti, Tk);
		    Tq = VSUB(Tn, Tp);
		    Tr = VFNMS(LDK(KP382683432), Tq, VMUL(LDK(KP923879532), Tl));
		    T1D = VFMA(LDK(KP382683432), Tl, VMUL(LDK(KP923879532), Tq));
		    T2M = VADD(Ti, Tk);
		    T2N = VADD(Tn, Tp);
		    T2O = VADD(T2M, T2N);
		    T33 = VSUB(T2M, T2N);
	       }
	  }
	  {
	       V T15, T17, T1p, T1n, T1f, T1h, T1i, T1a, T1c, T1d;
	       {
		    V T14, T16, T1o, T1m;
		    T14 = LD(&(x[WS(rs, 31)]), ms, &(x[WS(rs, 1)]));
		    T15 = BYTWJ(&(W[TWVL * 60]), T14);
		    T16 = LD(&(x[WS(rs, 15)]), ms, &(x[WS(rs, 1)]));
		    T17 = BYTWJ(&(W[TWVL * 28]), T16);
		    T1o = LD(&(x[WS(rs, 23)]), ms, &(x[WS(rs, 1)]));
		    T1p = BYTWJ(&(W[TWVL * 44]), T1o);
		    T1m = LD(&(x[WS(rs, 7)]), ms, &(x[WS(rs, 1)]));
		    T1n = BYTWJ(&(W[TWVL * 12]), T1m);
		    {
			 V T1e, T1g, T19, T1b;
			 T1e = LD(&(x[WS(rs, 27)]), ms, &(x[WS(rs, 1)]));
			 T1f = BYTWJ(&(W[TWVL * 52]), T1e);
			 T1g = LD(&(x[WS(rs, 11)]), ms, &(x[WS(rs, 1)]));
			 T1h = BYTWJ(&(W[TWVL * 20]), T1g);
			 T1i = VSUB(T1f, T1h);
			 T19 = LD(&(x[WS(rs, 3)]), ms, &(x[WS(rs, 1)]));
			 T1a = BYTWJ(&(W[TWVL * 4]), T19);
			 T1b = LD(&(x[WS(rs, 19)]), ms, &(x[WS(rs, 1)]));
			 T1c = BYTWJ(&(W[TWVL * 36]), T1b);
			 T1d = VSUB(T1a, T1c);
		    }
	       }
	       {
		    V T18, T1j, T2D, T2E;
		    T18 = VSUB(T15, T17);
		    T1j = VMUL(LDK(KP707106781), VADD(T1d, T1i));
		    T1k = VADD(T18, T1j);
		    T20 = VSUB(T18, T1j);
		    T2D = VADD(T1a, T1c);
		    T2E = VADD(T1f, T1h);
		    T2F = VADD(T2D, T2E);
		    T3b = VSUB(T2E, T2D);
	       }
	       {
		    V T1l, T1q, T2A, T2B;
		    T1l = VMUL(LDK(KP707106781), VSUB(T1i, T1d));
		    T1q = VSUB(T1n, T1p);
		    T1r = VSUB(T1l, T1q);
		    T21 = VADD(T1q, T1l);
		    T2A = VADD(T15, T17);
		    T2B = VADD(T1n, T1p);
		    T2C = VADD(T2A, T2B);
		    T3a = VSUB(T2A, T2B);
	       }
	  }
	  {
	       V TG, TI, T10, TY, TQ, TS, TT, TL, TN, TO;
	       {
		    V TF, TH, TZ, TX;
		    TF = LD(&(x[WS(rs, 1)]), ms, &(x[WS(rs, 1)]));
		    TG = BYTWJ(&(W[0]), TF);
		    TH = LD(&(x[WS(rs, 17)]), ms, &(x[WS(rs, 1)]));
		    TI = BYTWJ(&(W[TWVL * 32]), TH);
		    TZ = LD(&(x[WS(rs, 25)]), ms, &(x[WS(rs, 1)]));
		    T10 = BYTWJ(&(W[TWVL * 48]), TZ);
		    TX = LD(&(x[WS(rs, 9)]), ms, &(x[WS(rs, 1)]));
		    TY = BYTWJ(&(W[TWVL * 16]), TX);
		    {
			 V TP, TR, TK, TM;
			 TP = LD(&(x[WS(rs, 29)]), ms, &(x[WS(rs, 1)]));
			 TQ = BYTWJ(&(W[TWVL * 56]), TP);
			 TR = LD(&(x[WS(rs, 13)]), ms, &(x[WS(rs, 1)]));
			 TS = BYTWJ(&(W[TWVL * 24]), TR);
			 TT = VSUB(TQ, TS);
			 TK = LD(&(x[WS(rs, 5)]), ms, &(x[WS(rs, 1)]));
			 TL = BYTWJ(&(W[TWVL * 8]), TK);
			 TM = LD(&(x[WS(rs, 21)]), ms, &(x[WS(rs, 1)]));
			 TN = BYTWJ(&(W[TWVL * 40]), TM);
			 TO = VSUB(TL, TN);
		    }
	       }
	       {
		    V TJ, TU, T2w, T2x;
		    TJ = VSUB(TG, TI);
		    TU = VMUL(LDK(KP707106781), VADD(TO, TT));
		    TV = VADD(TJ, TU);
		    T1X = VSUB(TJ, TU);
		    T2w = VADD(TL, TN);
		    T2x = VADD(TQ, TS);
		    T2y = VADD(T2w, T2x);
		    T38 = VSUB(T2x, T2w);
	       }
	       {
		    V TW, T11, T2t, T2u;
		    TW = VMUL(LDK(KP707106781), VSUB(TT, TO));
		    T11 = VSUB(TY, T10);
		    T12 = VSUB(TW, T11);
		    T1Y = VADD(T11, TW);
		    T2t = VADD(TG, TI);
		    T2u = VADD(TY, T10);
		    T2v = VADD(T2t, T2u);
		    T37 = VSUB(T2t, T2u);
	       }
	  }
	  {
	       V T2W, T30, T2Z, T31;
	       {
		    V T2U, T2V, T2X, T2Y;
		    T2U = VADD(T2o, T2r);
		    T2V = VADD(T2O, T2L);
		    T2W = VADD(T2U, T2V);
		    T30 = VSUB(T2U, T2V);
		    T2X = VADD(T2v, T2y);
		    T2Y = VADD(T2C, T2F);
		    T2Z = VADD(T2X, T2Y);
		    T31 = VBYI(VSUB(T2Y, T2X));
	       }
	       ST(&(x[WS(rs, 16)]), VSUB(T2W, T2Z), ms, &(x[0]));
	       ST(&(x[WS(rs, 8)]), VADD(T30, T31), ms, &(x[0]));
	       ST(&(x[0]), VADD(T2W, T2Z), ms, &(x[0]));
	       ST(&(x[WS(rs, 24)]), VSUB(T30, T31), ms, &(x[0]));
	  }
	  {
	       V T2s, T2P, T2H, T2Q, T2z, T2G;
	       T2s = VSUB(T2o, T2r);
	       T2P = VSUB(T2L, T2O);
	       T2z = VSUB(T2v, T2y);
	       T2G = VSUB(T2C, T2F);
	       T2H = VMUL(LDK(KP707106781), VADD(T2z, T2G));
	       T2Q = VMUL(LDK(KP707106781), VSUB(T2G, T2z));
	       {
		    V T2I, T2R, T2S, T2T;
		    T2I = VADD(T2s, T2H);
		    T2R = VBYI(VADD(T2P, T2Q));
		    ST(&(x[WS(rs, 28)]), VSUB(T2I, T2R), ms, &(x[0]));
		    ST(&(x[WS(rs, 4)]), VADD(T2I, T2R), ms, &(x[0]));
		    T2S = VSUB(T2s, T2H);
		    T2T = VBYI(VSUB(T2Q, T2P));
		    ST(&(x[WS(rs, 20)]), VSUB(T2S, T2T), ms, &(x[0]));
		    ST(&(x[WS(rs, 12)]), VADD(T2S, T2T), ms, &(x[0]));
	       }
	  }
	  {
	       V T36, T3r, T3h, T3p, T3d, T3o, T3k, T3s, T35, T3g;
	       T35 = VMUL(LDK(KP707106781), VADD(T33, T34));
	       T36 = VADD(T32, T35);
	       T3r = VSUB(T32, T35);
	       T3g = VMUL(LDK(KP707106781), VSUB(T34, T33));
	       T3h = VADD(T3f, T3g);
	       T3p = VSUB(T3g, T3f);
	       {
		    V T39, T3c, T3i, T3j;
		    T39 = VFMA(LDK(KP923879532), T37, VMUL(LDK(KP382683432), T38));
		    T3c = VFNMS(LDK(KP382683432), T3b, VMUL(LDK(KP923879532), T3a));
		    T3d = VADD(T39, T3c);
		    T3o = VSUB(T3c, T39);
		    T3i = VFNMS(LDK(KP382683432), T37, VMUL(LDK(KP923879532), T38));
		    T3j = VFMA(LDK(KP382683432), T3a, VMUL(LDK(KP923879532), T3b));
		    T3k = VADD(T3i, T3j);
		    T3s = VSUB(T3j, T3i);
	       }
	       {
		    V T3e, T3l, T3u, T3v;
		    T3e = VADD(T36, T3d);
		    T3l = VBYI(VADD(T3h, T3k));
		    ST(&(x[WS(rs, 30)]), VSUB(T3e, T3l), ms, &(x[0]));
		    ST(&(x[WS(rs, 2)]), VADD(T3e, T3l), ms, &(x[0]));
		    T3u = VBYI(VADD(T3p, T3o));
		    T3v = VADD(T3r, T3s);
		    ST(&(x[WS(rs, 6)]), VADD(T3u, T3v), ms, &(x[0]));
		    ST(&(x[WS(rs, 26)]), VSUB(T3v, T3u), ms, &(x[0]));
	       }
	       {
		    V T3m, T3n, T3q, T3t;
		    T3m = VSUB(T36, T3d);
		    T3n = VBYI(VSUB(T3k, T3h));
		    ST(&(x[WS(rs, 18)]), VSUB(T3m, T3n), ms, &(x[0]));
		    ST(&(x[WS(rs, 14)]), VADD(T3m, T3n), ms, &(x[0]));
		    T3q = VBYI(VSUB(T3o, T3p));
		    T3t = VSUB(T3r, T3s);
		    ST(&(x[WS(rs, 10)]), VADD(T3q, T3t), ms, &(x[0]));
		    ST(&(x[WS(rs, 22)]), VSUB(T3t, T3q), ms, &(x[0]));
	       }
	  }
	  {
	       V TE, T1P, T1I, T1Q, T1t, T1M, T1F, T1N;
	       {
		    V Tg, TD, T1G, T1H;
		    Tg = VADD(T4, Tf);
		    TD = VADD(Tr, TC);
		    TE = VADD(Tg, TD);
		    T1P = VSUB(Tg, TD);
		    T1G = VFNMS(LDK(KP195090322), TV, VMUL(LDK(KP980785280), T12));
		    T1H = VFMA(LDK(KP195090322), T1k, VMUL(LDK(KP980785280), T1r));
		    T1I = VADD(T1G, T1H);
		    T1Q = VSUB(T1H, T1G);
	       }
	       {
		    V T13, T1s, T1B, T1E;
		    T13 = VFMA(LDK(KP980785280), TV, VMUL(LDK(KP195090322), T12));
		    T1s = VFNMS(LDK(KP195090322), T1r, VMUL(LDK(KP980785280), T1k));
		    T1t = VADD(T13, T1s);
		    T1M = VSUB(T1s, T13);
		    T1B = VSUB(T1v, T1A);
		    T1E = VSUB(T1C, T1D);
		    T1F = VADD(T1B, T1E);
		    T1N = VSUB(T1E, T1B);
	       }
	       {
		    V T1u, T1J, T1S, T1T;
		    T1u = VADD(TE, T1t);
		    T1J = VBYI(VADD(T1F, T1I));
		    ST(&(x[WS(rs, 31)]), VSUB(T1u, T1J), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 1)]), VADD(T1u, T1J), ms, &(x[WS(rs, 1)]));
		    T1S = VBYI(VADD(T1N, T1M));
		    T1T = VADD(T1P, T1Q);
		    ST(&(x[WS(rs, 7)]), VADD(T1S, T1T), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 25)]), VSUB(T1T, T1S), ms, &(x[WS(rs, 1)]));
	       }
	       {
		    V T1K, T1L, T1O, T1R;
		    T1K = VSUB(TE, T1t);
		    T1L = VBYI(VSUB(T1I, T1F));
		    ST(&(x[WS(rs, 17)]), VSUB(T1K, T1L), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 15)]), VADD(T1K, T1L), ms, &(x[WS(rs, 1)]));
		    T1O = VBYI(VSUB(T1M, T1N));
		    T1R = VSUB(T1P, T1Q);
		    ST(&(x[WS(rs, 9)]), VADD(T1O, T1R), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 23)]), VSUB(T1R, T1O), ms, &(x[WS(rs, 1)]));
	       }
	  }
	  {
	       V T1W, T2h, T2a, T2i, T23, T2e, T27, T2f;
	       {
		    V T1U, T1V, T28, T29;
		    T1U = VSUB(T4, Tf);
		    T1V = VADD(T1D, T1C);
		    T1W = VADD(T1U, T1V);
		    T2h = VSUB(T1U, T1V);
		    T28 = VFNMS(LDK(KP555570233), T1X, VMUL(LDK(KP831469612), T1Y));
		    T29 = VFMA(LDK(KP555570233), T20, VMUL(LDK(KP831469612), T21));
		    T2a = VADD(T28, T29);
		    T2i = VSUB(T29, T28);
	       }
	       {
		    V T1Z, T22, T25, T26;
		    T1Z = VFMA(LDK(KP831469612), T1X, VMUL(LDK(KP555570233), T1Y));
		    T22 = VFNMS(LDK(KP555570233), T21, VMUL(LDK(KP831469612), T20));
		    T23 = VADD(T1Z, T22);
		    T2e = VSUB(T22, T1Z);
		    T25 = VADD(T1A, T1v);
		    T26 = VSUB(TC, Tr);
		    T27 = VADD(T25, T26);
		    T2f = VSUB(T26, T25);
	       }
	       {
		    V T24, T2b, T2k, T2l;
		    T24 = VADD(T1W, T23);
		    T2b = VBYI(VADD(T27, T2a));
		    ST(&(x[WS(rs, 29)]), VSUB(T24, T2b), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 3)]), VADD(T24, T2b), ms, &(x[WS(rs, 1)]));
		    T2k = VBYI(VADD(T2f, T2e));
		    T2l = VADD(T2h, T2i);
		    ST(&(x[WS(rs, 5)]), VADD(T2k, T2l), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 27)]), VSUB(T2l, T2k), ms, &(x[WS(rs, 1)]));
	       }
	       {
		    V T2c, T2d, T2g, T2j;
		    T2c = VSUB(T1W, T23);
		    T2d = VBYI(VSUB(T2a, T27));
		    ST(&(x[WS(rs, 19)]), VSUB(T2c, T2d), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 13)]), VADD(T2c, T2d), ms, &(x[WS(rs, 1)]));
		    T2g = VBYI(VSUB(T2e, T2f));
		    T2j = VSUB(T2h, T2i);
		    ST(&(x[WS(rs, 11)]), VADD(T2g, T2j), ms, &(x[WS(rs, 1)]));
		    ST(&(x[WS(rs, 21)]), VSUB(T2j, T2g), ms, &(x[WS(rs, 1)]));
	       }
	  }
     }
}

static const tw_instr twinstr[] = {
     VTW(0, 1),
     VTW(0, 2),
     VTW(0, 3),
     VTW(0, 4),
     VTW(0, 5),
     VTW(0, 6),
     VTW(0, 7),
     VTW(0, 8),
     VTW(0, 9),
     VTW(0, 10),
     VTW(0, 11),
     VTW(0, 12),
     VTW(0, 13),
     VTW(0, 14),
     VTW(0, 15),
     VTW(0, 16),
     VTW(0, 17),
     VTW(0, 18),
     VTW(0, 19),
     VTW(0, 20),
     VTW(0, 21),
     VTW(0, 22),
     VTW(0, 23),
     VTW(0, 24),
     VTW(0, 25),
     VTW(0, 26),
     VTW(0, 27),
     VTW(0, 28),
     VTW(0, 29),
     VTW(0, 30),
     VTW(0, 31),
     {TW_NEXT, VL, 0}
};

static const ct_desc desc = { 32, "t2fv_32", twinstr, &GENUS, {201, 88, 16, 0}, 0, 0, 0 };

void X(codelet_t2fv_32) (planner *p) {
     X(kdft_dit_register) (p, t2fv_32, &desc);
}
#endif				/* HAVE_FMA */