/* * Copyright (c) 2003, 2007-8 Matteo Frigo * Copyright (c) 2003, 2007-8 Massachusetts Institute of Technology * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program 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 General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA * */ /* This file was automatically generated --- DO NOT EDIT */ /* Generated on Sun Jul 12 06:37:28 EDT 2009 */ #include "codelet-dft.h" #ifdef HAVE_FMA /* Generated by: ../../../genfft/gen_notw -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 16 -name n1_16 -include n.h */ /* * This function contains 144 FP additions, 40 FP multiplications, * (or, 104 additions, 0 multiplications, 40 fused multiply/add), * 82 stack variables, 3 constants, and 64 memory accesses */ #include "n.h" static void n1_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs) { DK(KP923879532, +0.923879532511286756128183189396788286822416626); DK(KP414213562, +0.414213562373095048801688724209698078569671875); DK(KP707106781, +0.707106781186547524400844362104849039284835938); INT i; for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(is), MAKE_VOLATILE_STRIDE(os)) { E T1z, T1L, T1M, T1N, T1P, T1J, T1K, T1G, T1O, T1Q; { E T1l, T1H, T1R, T7, T1x, TN, TC, T25, T1E, T1b, T1Z, Tt, T2h, T22, T1D; E T1g, T1n, TQ, Te, T26, TT, T1m, TJ, T1S, Tj, T11, Ti, T1V, TZ, Tk; E T12, T13; { E Tq, T1c, Tp, T20, T1a, Tr, T1d, T1e; { E T4, TL, T3, T1k, Ty, T5, Tz, TA; { E T1, T2, Tw, Tx; T1 = ri[0]; T2 = ri[WS(is, 8)]; Tw = ii[0]; Tx = ii[WS(is, 8)]; T4 = ri[WS(is, 4)]; TL = T1 - T2; T3 = T1 + T2; T1k = Tw - Tx; Ty = Tw + Tx; T5 = ri[WS(is, 12)]; Tz = ii[WS(is, 4)]; TA = ii[WS(is, 12)]; } { E Tn, To, T18, T19; Tn = ri[WS(is, 15)]; { E T1j, T6, TM, TB; T1j = T4 - T5; T6 = T4 + T5; TM = Tz - TA; TB = Tz + TA; T1l = T1j + T1k; T1H = T1k - T1j; T1R = T3 - T6; T7 = T3 + T6; T1x = TL + TM; TN = TL - TM; TC = Ty + TB; T25 = Ty - TB; To = ri[WS(is, 7)]; } T18 = ii[WS(is, 15)]; T19 = ii[WS(is, 7)]; Tq = ri[WS(is, 3)]; T1c = Tn - To; Tp = Tn + To; T20 = T18 + T19; T1a = T18 - T19; Tr = ri[WS(is, 11)]; T1d = ii[WS(is, 3)]; T1e = ii[WS(is, 11)]; } } { E Tb, TP, Ta, TO, TF, Tc, TG, TH; { E T8, T9, TD, TE; T8 = ri[WS(is, 2)]; { E T17, Ts, T21, T1f; T17 = Tq - Tr; Ts = Tq + Tr; T21 = T1d + T1e; T1f = T1d - T1e; T1E = T1a - T17; T1b = T17 + T1a; T1Z = Tp - Ts; Tt = Tp + Ts; T2h = T20 + T21; T22 = T20 - T21; T1D = T1c + T1f; T1g = T1c - T1f; T9 = ri[WS(is, 10)]; } TD = ii[WS(is, 2)]; TE = ii[WS(is, 10)]; Tb = ri[WS(is, 14)]; TP = T8 - T9; Ta = T8 + T9; TO = TD - TE; TF = TD + TE; Tc = ri[WS(is, 6)]; TG = ii[WS(is, 14)]; TH = ii[WS(is, 6)]; } { E TR, Td, TS, TI; T1n = TP + TO; TQ = TO - TP; TR = Tb - Tc; Td = Tb + Tc; TS = TG - TH; TI = TG + TH; Te = Ta + Td; T26 = Td - Ta; TT = TR + TS; T1m = TR - TS; TJ = TF + TI; T1S = TF - TI; } } { E Tg, Th, TX, TY; Tg = ri[WS(is, 1)]; Th = ri[WS(is, 9)]; TX = ii[WS(is, 1)]; TY = ii[WS(is, 9)]; Tj = ri[WS(is, 5)]; T11 = Tg - Th; Ti = Tg + Th; T1V = TX + TY; TZ = TX - TY; Tk = ri[WS(is, 13)]; T12 = ii[WS(is, 5)]; T13 = ii[WS(is, 13)]; } } { E T2f, T1B, T10, T1U, T1X, T1A, T15, Tv, TK, T2i; { E Tf, Tu, T2j, T2k, T2g; T2f = T7 - Te; Tf = T7 + Te; { E TW, Tl, T1W, T14, Tm; TW = Tj - Tk; Tl = Tj + Tk; T1W = T12 + T13; T14 = T12 - T13; T1B = TZ - TW; T10 = TW + TZ; T1U = Ti - Tl; Tm = Ti + Tl; T2g = T1V + T1W; T1X = T1V - T1W; T1A = T11 + T14; T15 = T11 - T14; Tu = Tm + Tt; Tv = Tt - Tm; } TK = TC - TJ; T2j = TC + TJ; T2k = T2g + T2h; T2i = T2g - T2h; ro[0] = Tf + Tu; ro[WS(os, 8)] = Tf - Tu; io[0] = T2j + T2k; io[WS(os, 8)] = T2j - T2k; } { E T29, T1T, T27, T2d, T2a, T2b, T28, T24, T1Y, T23; T29 = T1R - T1S; T1T = T1R + T1S; io[WS(os, 12)] = TK - Tv; io[WS(os, 4)] = Tv + TK; ro[WS(os, 4)] = T2f + T2i; ro[WS(os, 12)] = T2f - T2i; T27 = T25 - T26; T2d = T26 + T25; T2a = T1X - T1U; T1Y = T1U + T1X; T23 = T1Z - T22; T2b = T1Z + T22; T28 = T23 - T1Y; T24 = T1Y + T23; { E T1I, TV, T1v, T1y, T1t, T1s, T1r, T1p, T1q, T1i; { E T1o, T2e, T2c, TU, T16, T1h; T1I = TQ + TT; TU = TQ - TT; io[WS(os, 14)] = FNMS(KP707106781, T28, T27); io[WS(os, 6)] = FMA(KP707106781, T28, T27); ro[WS(os, 2)] = FMA(KP707106781, T24, T1T); ro[WS(os, 10)] = FNMS(KP707106781, T24, T1T); T2e = T2a + T2b; T2c = T2a - T2b; TV = FMA(KP707106781, TU, TN); T1v = FNMS(KP707106781, TU, TN); io[WS(os, 10)] = FNMS(KP707106781, T2e, T2d); io[WS(os, 2)] = FMA(KP707106781, T2e, T2d); ro[WS(os, 6)] = FMA(KP707106781, T2c, T29); ro[WS(os, 14)] = FNMS(KP707106781, T2c, T29); T1o = T1m - T1n; T1y = T1n + T1m; T1t = FNMS(KP414213562, T10, T15); T16 = FMA(KP414213562, T15, T10); T1h = FNMS(KP414213562, T1g, T1b); T1s = FMA(KP414213562, T1b, T1g); T1r = FMA(KP707106781, T1o, T1l); T1p = FNMS(KP707106781, T1o, T1l); T1q = T16 + T1h; T1i = T16 - T1h; } { E T1w, T1u, T1C, T1F; io[WS(os, 15)] = FMA(KP923879532, T1q, T1p); io[WS(os, 7)] = FNMS(KP923879532, T1q, T1p); ro[WS(os, 3)] = FMA(KP923879532, T1i, TV); ro[WS(os, 11)] = FNMS(KP923879532, T1i, TV); T1w = T1t + T1s; T1u = T1s - T1t; T1z = FMA(KP707106781, T1y, T1x); T1L = FNMS(KP707106781, T1y, T1x); ro[WS(os, 15)] = FMA(KP923879532, T1w, T1v); ro[WS(os, 7)] = FNMS(KP923879532, T1w, T1v); io[WS(os, 3)] = FMA(KP923879532, T1u, T1r); io[WS(os, 11)] = FNMS(KP923879532, T1u, T1r); T1M = FNMS(KP414213562, T1A, T1B); T1C = FMA(KP414213562, T1B, T1A); T1F = FNMS(KP414213562, T1E, T1D); T1N = FMA(KP414213562, T1D, T1E); T1P = FMA(KP707106781, T1I, T1H); T1J = FNMS(KP707106781, T1I, T1H); T1K = T1F - T1C; T1G = T1C + T1F; } } } } } io[WS(os, 5)] = FMA(KP923879532, T1K, T1J); io[WS(os, 13)] = FNMS(KP923879532, T1K, T1J); ro[WS(os, 1)] = FMA(KP923879532, T1G, T1z); ro[WS(os, 9)] = FNMS(KP923879532, T1G, T1z); T1O = T1M - T1N; T1Q = T1M + T1N; io[WS(os, 1)] = FMA(KP923879532, T1Q, T1P); io[WS(os, 9)] = FNMS(KP923879532, T1Q, T1P); ro[WS(os, 5)] = FMA(KP923879532, T1O, T1L); ro[WS(os, 13)] = FNMS(KP923879532, T1O, T1L); } } static const kdft_desc desc = { 16, "n1_16", {104, 0, 40, 0}, &GENUS, 0, 0, 0, 0 }; void X(codelet_n1_16) (planner *p) { X(kdft_register) (p, n1_16, &desc); } #else /* HAVE_FMA */ /* Generated by: ../../../genfft/gen_notw -compact -variables 4 -pipeline-latency 4 -n 16 -name n1_16 -include n.h */ /* * This function contains 144 FP additions, 24 FP multiplications, * (or, 136 additions, 16 multiplications, 8 fused multiply/add), * 50 stack variables, 3 constants, and 64 memory accesses */ #include "n.h" static void n1_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs) { DK(KP382683432, +0.382683432365089771728459984030398866761344562); DK(KP923879532, +0.923879532511286756128183189396788286822416626); DK(KP707106781, +0.707106781186547524400844362104849039284835938); INT i; for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(is), MAKE_VOLATILE_STRIDE(os)) { E T7, T1R, T25, TC, TN, T1x, T1H, T1l, Tt, T22, T2h, T1b, T1g, T1E, T1Z; E T1D, Te, T1S, T26, TJ, TQ, T1m, T1n, TT, Tm, T1X, T2g, T10, T15, T1B; E T1U, T1A; { E T3, TL, Ty, T1k, T6, T1j, TB, TM; { E T1, T2, Tw, Tx; T1 = ri[0]; T2 = ri[WS(is, 8)]; T3 = T1 + T2; TL = T1 - T2; Tw = ii[0]; Tx = ii[WS(is, 8)]; Ty = Tw + Tx; T1k = Tw - Tx; } { E T4, T5, Tz, TA; T4 = ri[WS(is, 4)]; T5 = ri[WS(is, 12)]; T6 = T4 + T5; T1j = T4 - T5; Tz = ii[WS(is, 4)]; TA = ii[WS(is, 12)]; TB = Tz + TA; TM = Tz - TA; } T7 = T3 + T6; T1R = T3 - T6; T25 = Ty - TB; TC = Ty + TB; TN = TL - TM; T1x = TL + TM; T1H = T1k - T1j; T1l = T1j + T1k; } { E Tp, T17, T1f, T20, Ts, T1c, T1a, T21; { E Tn, To, T1d, T1e; Tn = ri[WS(is, 15)]; To = ri[WS(is, 7)]; Tp = Tn + To; T17 = Tn - To; T1d = ii[WS(is, 15)]; T1e = ii[WS(is, 7)]; T1f = T1d - T1e; T20 = T1d + T1e; } { E Tq, Tr, T18, T19; Tq = ri[WS(is, 3)]; Tr = ri[WS(is, 11)]; Ts = Tq + Tr; T1c = Tq - Tr; T18 = ii[WS(is, 3)]; T19 = ii[WS(is, 11)]; T1a = T18 - T19; T21 = T18 + T19; } Tt = Tp + Ts; T22 = T20 - T21; T2h = T20 + T21; T1b = T17 - T1a; T1g = T1c + T1f; T1E = T1f - T1c; T1Z = Tp - Ts; T1D = T17 + T1a; } { E Ta, TP, TF, TO, Td, TR, TI, TS; { E T8, T9, TD, TE; T8 = ri[WS(is, 2)]; T9 = ri[WS(is, 10)]; Ta = T8 + T9; TP = T8 - T9; TD = ii[WS(is, 2)]; TE = ii[WS(is, 10)]; TF = TD + TE; TO = TD - TE; } { E Tb, Tc, TG, TH; Tb = ri[WS(is, 14)]; Tc = ri[WS(is, 6)]; Td = Tb + Tc; TR = Tb - Tc; TG = ii[WS(is, 14)]; TH = ii[WS(is, 6)]; TI = TG + TH; TS = TG - TH; } Te = Ta + Td; T1S = TF - TI; T26 = Td - Ta; TJ = TF + TI; TQ = TO - TP; T1m = TR - TS; T1n = TP + TO; TT = TR + TS; } { E Ti, T11, TZ, T1V, Tl, TW, T14, T1W; { E Tg, Th, TX, TY; Tg = ri[WS(is, 1)]; Th = ri[WS(is, 9)]; Ti = Tg + Th; T11 = Tg - Th; TX = ii[WS(is, 1)]; TY = ii[WS(is, 9)]; TZ = TX - TY; T1V = TX + TY; } { E Tj, Tk, T12, T13; Tj = ri[WS(is, 5)]; Tk = ri[WS(is, 13)]; Tl = Tj + Tk; TW = Tj - Tk; T12 = ii[WS(is, 5)]; T13 = ii[WS(is, 13)]; T14 = T12 - T13; T1W = T12 + T13; } Tm = Ti + Tl; T1X = T1V - T1W; T2g = T1V + T1W; T10 = TW + TZ; T15 = T11 - T14; T1B = T11 + T14; T1U = Ti - Tl; T1A = TZ - TW; } { E Tf, Tu, T2j, T2k; Tf = T7 + Te; Tu = Tm + Tt; ro[WS(os, 8)] = Tf - Tu; ro[0] = Tf + Tu; T2j = TC + TJ; T2k = T2g + T2h; io[WS(os, 8)] = T2j - T2k; io[0] = T2j + T2k; } { E Tv, TK, T2f, T2i; Tv = Tt - Tm; TK = TC - TJ; io[WS(os, 4)] = Tv + TK; io[WS(os, 12)] = TK - Tv; T2f = T7 - Te; T2i = T2g - T2h; ro[WS(os, 12)] = T2f - T2i; ro[WS(os, 4)] = T2f + T2i; } { E T1T, T27, T24, T28, T1Y, T23; T1T = T1R + T1S; T27 = T25 - T26; T1Y = T1U + T1X; T23 = T1Z - T22; T24 = KP707106781 * (T1Y + T23); T28 = KP707106781 * (T23 - T1Y); ro[WS(os, 10)] = T1T - T24; io[WS(os, 6)] = T27 + T28; ro[WS(os, 2)] = T1T + T24; io[WS(os, 14)] = T27 - T28; } { E T29, T2d, T2c, T2e, T2a, T2b; T29 = T1R - T1S; T2d = T26 + T25; T2a = T1X - T1U; T2b = T1Z + T22; T2c = KP707106781 * (T2a - T2b); T2e = KP707106781 * (T2a + T2b); ro[WS(os, 14)] = T29 - T2c; io[WS(os, 2)] = T2d + T2e; ro[WS(os, 6)] = T29 + T2c; io[WS(os, 10)] = T2d - T2e; } { E TV, T1r, T1p, T1v, T1i, T1q, T1u, T1w, TU, T1o; TU = KP707106781 * (TQ - TT); TV = TN + TU; T1r = TN - TU; T1o = KP707106781 * (T1m - T1n); T1p = T1l - T1o; T1v = T1l + T1o; { E T16, T1h, T1s, T1t; T16 = FMA(KP923879532, T10, KP382683432 * T15); T1h = FNMS(KP923879532, T1g, KP382683432 * T1b); T1i = T16 + T1h; T1q = T1h - T16; T1s = FNMS(KP923879532, T15, KP382683432 * T10); T1t = FMA(KP382683432, T1g, KP923879532 * T1b); T1u = T1s - T1t; T1w = T1s + T1t; } ro[WS(os, 11)] = TV - T1i; io[WS(os, 11)] = T1v - T1w; ro[WS(os, 3)] = TV + T1i; io[WS(os, 3)] = T1v + T1w; io[WS(os, 15)] = T1p - T1q; ro[WS(os, 15)] = T1r - T1u; io[WS(os, 7)] = T1p + T1q; ro[WS(os, 7)] = T1r + T1u; } { E T1z, T1L, T1J, T1P, T1G, T1K, T1O, T1Q, T1y, T1I; T1y = KP707106781 * (T1n + T1m); T1z = T1x + T1y; T1L = T1x - T1y; T1I = KP707106781 * (TQ + TT); T1J = T1H - T1I; T1P = T1H + T1I; { E T1C, T1F, T1M, T1N; T1C = FMA(KP382683432, T1A, KP923879532 * T1B); T1F = FNMS(KP382683432, T1E, KP923879532 * T1D); T1G = T1C + T1F; T1K = T1F - T1C; T1M = FNMS(KP382683432, T1B, KP923879532 * T1A); T1N = FMA(KP923879532, T1E, KP382683432 * T1D); T1O = T1M - T1N; T1Q = T1M + T1N; } ro[WS(os, 9)] = T1z - T1G; io[WS(os, 9)] = T1P - T1Q; ro[WS(os, 1)] = T1z + T1G; io[WS(os, 1)] = T1P + T1Q; io[WS(os, 13)] = T1J - T1K; ro[WS(os, 13)] = T1L - T1O; io[WS(os, 5)] = T1J + T1K; ro[WS(os, 5)] = T1L + T1O; } } } static const kdft_desc desc = { 16, "n1_16", {136, 16, 8, 0}, &GENUS, 0, 0, 0, 0 }; void X(codelet_n1_16) (planner *p) { X(kdft_register) (p, n1_16, &desc); } #endif /* HAVE_FMA */