diff options
| author | Quan Nguyen <quannguyen@berkeley.edu> | 2014-02-04 21:11:40 -0800 |
|---|---|---|
| committer | Quan Nguyen <quannguyen@berkeley.edu> | 2014-02-04 21:11:40 -0800 |
| commit | 767a5e2483e411785838a379f56a923f043badd2 (patch) | |
| tree | 37da569b326bba20ab100f28d5c2ec533bbc63f5 /benchmarks | |
| parent | f6d8b4850e6c10804059fe94489cdf9455e208af (diff) | |
| download | riscv-tests-767a5e2483e411785838a379f56a923f043badd2.zip riscv-tests-767a5e2483e411785838a379f56a923f043badd2.tar.gz riscv-tests-767a5e2483e411785838a379f56a923f043badd2.tar.bz2 | |
Add Stephen's vector FFT code
Diffstat (limited to 'benchmarks')
| -rw-r--r-- | benchmarks/Makefile | 3 | ||||
| -rw-r--r-- | benchmarks/vec-fft/bmark.mk | 41 | ||||
| -rw-r--r-- | benchmarks/vec-fft/cvt16.c | 120 | ||||
| -rw-r--r-- | benchmarks/vec-fft/cvt16.h | 17 | ||||
| -rw-r--r-- | benchmarks/vec-fft/cvt_fft.c | 37 | ||||
| -rw-r--r-- | benchmarks/vec-fft/data.c | 21 | ||||
| -rw-r--r-- | benchmarks/vec-fft/dc_data.c | 12 | ||||
| -rwxr-xr-x | benchmarks/vec-fft/fft-data-gen | 84 | ||||
| -rw-r--r-- | benchmarks/vec-fft/fft_const.h | 69 | ||||
| -rw-r--r-- | benchmarks/vec-fft/fft_cos_data.c | 6 | ||||
| -rw-r--r-- | benchmarks/vec-fft/fft_dc_float.c | 6 | ||||
| -rw-r--r-- | benchmarks/vec-fft/fft_gaussian_float.c | 6 | ||||
| -rw-r--r-- | benchmarks/vec-fft/vec-fft.c | 169 | ||||
| -rw-r--r-- | benchmarks/vec-fft/vec-fft.h | 19 | ||||
| -rw-r--r-- | benchmarks/vec-fft/vec-fft_gaussian.c | 12 | ||||
| -rw-r--r-- | benchmarks/vec-fft/vec-fft_main.c | 300 | ||||
| -rw-r--r-- | benchmarks/vec-fft/vec-vfft.S | 243 |
17 files changed, 1164 insertions, 1 deletions
diff --git a/benchmarks/Makefile b/benchmarks/Makefile index b4dbffc..cff904a 100644 --- a/benchmarks/Makefile +++ b/benchmarks/Makefile @@ -25,6 +25,7 @@ bmarks = \ dhrystone \ spmv \ mt-vvadd \ + #vec-fft \ #mt-matmul \ #vec-vvadd \ #vec-cmplxmult \ @@ -90,7 +91,7 @@ $(bmarks_riscv_out): %.riscv.out: %.riscv -c $(incs) $< -o $@ %.o: %.S - $(RISCV_GCC) $(RISCV_GCC_OPTS) $(bmarks_defs) \ + $(RISCV_GCC) $(RISCV_GCC_OPTS) $(bmarks_defs) -D__ASSEMBLY__=1 \ -c $(incs) $< -o $@ riscv: $(bmarks_riscv_dump) $(bmarks_riscv_hex) diff --git a/benchmarks/vec-fft/bmark.mk b/benchmarks/vec-fft/bmark.mk new file mode 100644 index 0000000..46a2835 --- /dev/null +++ b/benchmarks/vec-fft/bmark.mk @@ -0,0 +1,41 @@ +#======================================================================= +# UCB CS250 Makefile fragment for benchmarks +#----------------------------------------------------------------------- +# +# Each benchmark directory should have its own fragment which +# essentially lists what the source files are and how to link them +# into an riscv and/or host executable. All variables should include +# the benchmark name as a prefix so that they are unique. +# + +vec-fft_data_src = fft-data.c + +vec-fft_c_src = \ + vec-fft_main.c \ + vec-fft.c \ + $(vec-fft_data_src) + +vec-fft_riscv_src = \ + crt.S \ + vec-vfft.S + +vec-fft_c_objs = $(patsubst %.c, %.o, $(vec-fft_c_src)) +vec-fft_riscv_objs = $(patsubst %.S, %.o, $(vec-fft_riscv_src)) + +vec-fft_data_bin = fft-data-gen +$(vec-fft_data_src): $(vec-fft_data_bin) + ./$< $(FFT_FLOATING_PREC) $(FFT_SIZE) > $@ + +vec-fft_host_bin = vec-fft.host +$(vec-fft_host_bin): $(vec-fft_c_src) +# $(HOST_COMP) $^ -o $(vec-fft_host_bin) + +RISCV_LINK_SYSCALL = $(bmarkdir)/common/syscalls.c -lc + +vec-fft_riscv_bin = vec-fft.riscv +$(vec-fft_riscv_bin): $(vec-fft_c_objs) $(vec-fft_riscv_objs) + $(RISCV_LINK) $(RISCV_LINK_SYSCALL) $(vec-fft_c_objs) $(vec-fft_riscv_objs) -o $(vec-fft_riscv_bin) + +junk += \ + $(vec-fft_data_src) $(vec-fft_c_objs) $(vec-fft_riscv_objs) \ + $(vec-fft_host_bin) $(vec-fft_riscv_bin) diff --git a/benchmarks/vec-fft/cvt16.c b/benchmarks/vec-fft/cvt16.c new file mode 100644 index 0000000..4307c7d --- /dev/null +++ b/benchmarks/vec-fft/cvt16.c @@ -0,0 +1,120 @@ +#include "cvt16.h" + +#define H_BIAS (UINT16_C(0xf)) +#define H_F_MASK (UINT16_C(0x03FF)) +#define H_E_MASK (UINT16_C(0x7C00)) +#define H_E_SHIFT (10) +#define H_S_MASK (UINT16_C(0x8000)) + +#define H_QNAN (H_F_MASK) + +#define S_BIAS (UINT32_C(0x7F)) +#define S_F_MASK (UINT32_C(0x007fffff)) +#define S_E_MASK (UINT32_C(0x7f800000)) +#define S_E_SHIFT (23) +#define S_S_MASK (UINT32_C(0x80000000)) + +#define S_QNAN (S_F_MASK) + +#define PAD (S_E_SHIFT - H_E_SHIFT) + +uint_fast32_t cvt_hs(uint_fast16_t x) +{ +#define MSB (UINT32_C(0x00800000)) + uint_fast32_t frac, exp, sign; + frac = (x & H_F_MASK) << PAD; + exp = (x & H_E_MASK); + sign = (x & H_S_MASK); + + switch (exp) { + case 0: + if (frac) { /* Denormal */ + exp = S_BIAS - 14; + /* Adjust fraction for implicit leading 1-bit */ + for (; !(frac & MSB); frac <<= 1, exp--); + frac &= ~(MSB); + exp <<= S_E_SHIFT; + } + break; + + case H_E_MASK: /* Infinity and NaN */ + exp = S_E_MASK; + if (frac) { /* Set padding bits for NaN */ + frac |= (1 << PAD) - 1; + } + break; + default: + exp += (S_BIAS - H_BIAS) << H_E_SHIFT; /* Re-bias */ + exp <<= PAD; + } + return (sign << 16) | exp | frac; +#undef MSB +} + +/* + * LSB : frac[13] + * Guard bit (G): frac[12] + * Round bit (R): frac[11] + * Sticky bit (S): OR of frac[10..0] + * + * RTZ: + * truncate + * RUP: + * 000 : exact + * else : round up + * RDN: + * 000 : exact + * else : round down + * RNE: + * 0xx : round down + * 100 : tie; round up if LSB is 1 + * 101 : round up + * 110 : round up + * 111 : round up + */ +uint_fast16_t cvt_sh(uint_fast32_t x, int rm) +{ +#define MSB UINT16_C(0x0400) + uint_fast32_t frac, exp, sign; + int e; + sign = (x & S_S_MASK) >> 16; + exp = (x & S_E_MASK); + if (exp && exp != S_E_MASK) { + int inc; + inc = 0; + switch (rm) { + case RNE: + /* Round up if G is set and either R, S, + or the bit before G is non-zero */ + inc = (x & 0x1000) && (x & 0x2fff); + break; + case RUP: + inc = ((x & 0x1fff) != 0) && (!sign); + break; + case RDN: + inc = ((x & 0x1fff) != 0) && sign; + break; + } + x += inc << PAD; + exp = (x & S_E_MASK); + } + frac = (x & S_F_MASK) >> PAD; + + e = (exp >> S_E_SHIFT) - S_BIAS; + if (e < -24) { /* Round to zero */ + return sign; + } else if (e < -14) { /* Denormal */ + frac = (frac | MSB) >> (-e - 14); + return sign | frac; + } else if (e < 16) { + exp = (e + H_BIAS) << H_E_SHIFT; + } else if (e < 127) { /* Round to infinity */ + exp = H_E_MASK; + frac = 0; + } else { + /* Infinity and NaN */ + } + return sign | exp | frac; +#undef MSB +} + diff --git a/benchmarks/vec-fft/cvt16.h b/benchmarks/vec-fft/cvt16.h new file mode 100644 index 0000000..d716d05 --- /dev/null +++ b/benchmarks/vec-fft/cvt16.h @@ -0,0 +1,17 @@ +#ifndef _CVT16_H +#define _CVT16_H + +#include <stdint.h> + +extern uint_fast32_t cvt_hs(uint_fast16_t); +extern uint_fast16_t cvt_sh(uint_fast32_t, int); + +enum riscv_rm { + RNE = 0, /* Round to nearest; ties to even */ + RTZ = 1, /* Round towards zero (truncate) */ + RDN = 2, /* Round towards negative infinity (down) */ + RUP = 3, /* Round towards positive infinity (up) */ + RMM = 4, /* Round to nearest; ties to max magnitude */ +}; + +#endif diff --git a/benchmarks/vec-fft/cvt_fft.c b/benchmarks/vec-fft/cvt_fft.c new file mode 100644 index 0000000..843f73c --- /dev/null +++ b/benchmarks/vec-fft/cvt_fft.c @@ -0,0 +1,37 @@ +#include <stdio.h> +#include <stdint.h> +#include <inttypes.h> + +#include "cvt16.h" + +typedef float fftval_t; +#include "fft_data_generic.c" + +static void _array(const char *s, const fftval_t *v, unsigned int n) +{ + union single { + float f; + uint32_t u; + } bits; + unsigned int i; + + printf("fftval_t %s[%u] = { ", s, n); + for (i = 0; i < n; i++) { + bits.f = v[i]; + printf("0x%04" PRIx16 ", ", cvt_sh(bits.u, RNE)); + } + puts("};"); +} + +#define array(v) _array(#v, (v), (sizeof(v) / sizeof(0[v]))) + +int main(void) +{ + array(input_data_real); + array(input_data_imag); + array(output_data_real); + array(output_data_imag); + array(tf_real); + array(tf_imag); + return 0; +} diff --git a/benchmarks/vec-fft/data.c b/benchmarks/vec-fft/data.c new file mode 100644 index 0000000..fd91929 --- /dev/null +++ b/benchmarks/vec-fft/data.c @@ -0,0 +1,21 @@ +#include "fft_const.h" + +#if !defined(FP_HALF) + +fftval_t input_data_real[ 128 ] = { 0.639426798458, 0.0250107552227, 0.275029318369, 0.223210738149, 0.736471214164, 0.676699487423, 0.892179567705, 0.0869388326294, 0.421921819685, 0.0297972194381, 0.218637974804, 0.505355288103, 0.0265359696839, 0.198837650687, 0.64988443778, 0.544941480603, 0.220440622041, 0.589265683876, 0.809430456678, 0.00649875967806, 0.805819251833, 0.698139394988, 0.340250516518, 0.155479499812, 0.957213072207, 0.336594545113, 0.0927458433801, 0.0967163768335, 0.847494366347, 0.603726031367, 0.807128273274, 0.729731786694, 0.536228091455, 0.973115763979, 0.378534377208, 0.552040631273, 0.829404664253, 0.618519752364, 0.861706900311, 0.577352145257, 0.704571836215, 0.0458243836557, 0.227898275652, 0.289387963602, 0.0797919769236, 0.232790886361, 0.10100142941, 0.27797360311, 0.635684444264, 0.36483217897, 0.370180967117, 0.209507030771, 0.266977822049, 0.936654587712, 0.648035385247, 0.609131005667, 0.171138648198, 0.72912679795, 0.163402493762, 0.379455441758, 0.989523350637, 0.639999759854, 0.556949743775, 0.68461425099, 0.84285192019, 0.775999911546, 0.229048071964, 0.032100243904, 0.315453048059, 0.267740875976, 0.210982843586, 0.942909714335, 0.876367626473, 0.314677880798, 0.655438665295, 0.395631901061, 0.914547589741, 0.458851852587, 0.264880166498, 0.246627507694, 0.561368134163, 0.262741608523, 0.584585990224, 0.897822883602, 0.39940050514, 0.219320759157, 0.997537606495, 0.509526293676, 0.0909094121738, 0.0471163754247, 0.109649130351, 0.627446041703, 0.792079364363, 0.4221599668, 0.063527706152, 0.381619286507, 0.99612138024, 0.529114345099, 0.971078377614, 0.860779702234, 0.0114810219428, 0.72072181936, 0.681710369027, 0.536970330409, 0.266825189953, 0.64096179858, 0.111552173596, 0.434765250669, 0.453723706329, 0.953815927521, 0.875852940378, 0.263389050751, 0.50058611305, 0.17865188053, 0.912627839345, 0.870518569837, 0.298444791449, 0.638949494866, 0.608970211438, 0.15283926855, 0.762510800075, 0.53937903012, 0.778626478631, 0.530353672195, 0.000571896127944, 0.324156057005, 0.0194767423858, 0.929098616265 }; +fftval_t input_data_imag[ 128 ] = { 0.878721877823, 0.831665529361, 0.307514125403, 0.0579251664942, 0.878009599204, 0.946949445298, 0.0856534520679, 0.485990463317, 0.0692125184684, 0.760602165257, 0.765834429307, 0.1283914645, 0.475282378099, 0.549803593495, 0.26505662894, 0.872433041085, 0.423137940201, 0.211798205442, 0.539296088779, 0.72993106909, 0.20115106339, 0.311716291301, 0.995149356661, 0.649878057639, 0.438100083915, 0.517575841036, 0.121004195868, 0.224697337032, 0.338085562147, 0.588308718457, 0.230114732597, 0.220217384452, 0.070993086009, 0.63110295727, 0.228941783811, 0.905420013006, 0.859635400254, 0.0708573498887, 0.238004634369, 0.668977778296, 0.21423680737, 0.132311848725, 0.935514240581, 0.571043093325, 0.472671026312, 0.784619424291, 0.807496997767, 0.190409914362, 0.0969308142288, 0.431051182406, 0.42357862302, 0.467024668037, 0.72907584946, 0.673364547293, 0.984165211366, 0.098417871152, 0.402621282102, 0.339302605395, 0.861672536353, 0.24865633392, 0.190208908441, 0.448613547833, 0.421881639834, 0.278545144667, 0.249806447882, 0.923265599276, 0.443130745053, 0.861349104762, 0.55032531245, 0.0505883295249, 0.999282468413, 0.83602758508, 0.968996257285, 0.926366983008, 0.848695734414, 0.166311110604, 0.485641125451, 0.213747299199, 0.401040292549, 0.0586353999722, 0.378973118977, 0.98530884378, 0.265203058172, 0.784070601949, 0.455008367339, 0.42300748599, 0.95731764086, 0.995422689493, 0.555768323406, 0.718408275296, 0.154796825274, 0.296707825495, 0.968709364969, 0.579180290816, 0.542195201374, 0.747975560379, 0.0571652729075, 0.584177594459, 0.50285038292, 0.852719892048, 0.157432727939, 0.960778903274, 0.0801114652406, 0.185824960981, 0.59503510645, 0.675212553604, 0.235203895001, 0.119886613947, 0.890287314129, 0.246215347789, 0.594519153533, 0.619381510332, 0.419224915336, 0.583672289291, 0.522782715532, 0.934706257736, 0.204259199424, 0.716191800789, 0.238685952616, 0.395785846791, 0.67169022296, 0.299997079799, 0.316177196272, 0.751864492414, 0.0725431144932, 0.458285522619, 0.998454440854, 0.996096447855 }; +fftval_t output_data_real[ 128 ] = { 61.954455353, -3.55833399529, -0.523354806008, -3.37768557289, 3.32687067509, -3.0237541092, -0.378319273514, 0.525689010981, 5.25658573479, -2.28074215555, -4.28723433346, -4.4277864945, 1.25302215885, -0.482791893995, -1.12845609406, -3.21089274844, -0.078505416643, -2.1193590094, 4.98495906311, -3.56979439628, 2.72333789593, 2.25668218204, 0.335271678442, -6.34334972936, 0.712532452309, 0.409291142904, -1.22780527711, 3.84865910019, 0.969858896916, 1.05979174012, -0.405273430345, 1.0161952607, 2.65666792497, -7.17797945232, 3.35748060331, -1.93036005449, 5.79228873407, 6.83679539719, 0.455509780838, -4.32751152407, -0.195720493898, -4.39713867575, 4.04962604613, 8.55532419691, 0.793886999177, 2.74675335418, 1.78534557879, -0.150461101563, 4.79269199365, -0.097190171132, -2.93509465459, 0.000498021981268, -3.87438881161, -5.12734321093, -2.12762472404, -1.16638837683, 3.59130812163, -0.816225274592, -0.806189352525, -1.15586605458, -1.92113200189, 0.855167926588, 0.603604208411, -0.409696855698, 2.88640009067, 2.56152175575, -1.09096481126, 0.828707821899, -0.962267817144, -0.81230709709, 1.16163049602, -0.695404120144, -4.20242999608, -2.92482265517, 1.02303060189, -2.70129415201, 0.525364381257, 2.49338291739, 2.34783772688, 4.95908644781, 0.177530769676, 5.16759926801, -2.55397551085, 1.48552350843, -4.50573276988, 0.451229866674, -6.81151821737, -5.00364260745, -0.98762260691, 5.226676945, 1.73684083074, -4.95366720132, 2.43429602647, 0.460297668808, 0.111897844813, -2.75691723482, 0.310022422864, -1.58528590021, -2.03689286823, -1.102027189, 3.51353594739, 1.0387748517, 3.84115211002, 3.81032001841, 2.43243605239, 0.621532229972, 5.36804043022, 7.69993469463, 3.63860246238, 3.633002238, -2.47462170952, 5.24293295589, 0.774064132507, -3.91244434865, 4.72655267242, -2.81469193189, 0.993153378271, -3.2354193083, 0.474071574908, 0.756162196284, -1.15709647317, 3.31705213122, -6.01086540873, 2.37742277745, 2.84408587391, -3.65152823413, -3.16692487284, 2.0388874191 }; +fftval_t output_data_imag[ 128 ] = { 64.7050383851, 0.698184545699, 3.42493175348, 5.66261938459, 1.00574698274, -3.1031255135, 5.20424207641, 2.0448135066, -4.63849287023, 2.51117736295, 1.41295259621, -2.45639979763, 5.86862949669, -4.29715899392, 1.97792740773, 1.61104358821, 3.55985554637, -0.852668449458, 3.78965920404, 1.11985520891, -3.08121666225, 4.31756301978, 7.89587646848, 5.66554418397, -6.1086556137, 5.62222049291, 4.34787054172, 0.668211990523, 2.31296531095, 5.41014021609, 0.453996830494, 2.7935768665, -2.34494675051, 1.17549556253, -2.36863533542, 3.34802654836, 0.810944712905, -3.46714468032, -4.00653978407, -3.0699493452, 5.34453801646, -1.15007047713, 1.48224491218, 1.96983218353, -2.35988258452, -3.83406990073, 1.05359927173, -2.62518260336, -2.26840395653, 4.53058951798, 4.37784201599, 1.74456564948, 1.17919710136, 5.85762105311, -2.17089571025, -0.186855334345, -2.78684050993, 11.2542088523, 3.53682020657, 0.921750647669, -2.75033375937, -2.39105725671, 5.69627942011, -2.14262056709, -3.24450591785, -4.88101239098, -0.82019947831, 1.73555667725, -2.67542169613, 2.70255959353, -1.56904900802, 0.813903077259, -4.79584930282, -0.827151380084, -0.153701429418, -2.79898616186, 2.31828350443, 2.21515556736, -3.40293773784, -0.162985084297, -3.05206321075, 1.75265985778, 1.95085395048, -4.00325708931, -4.0551434497, 1.05832733908, -0.462016761175, -10.7553551483, -1.34633968539, 3.33861851859, 0.17331130312, -3.50040264719, -0.469531530722, -6.75712678783, 0.101038910495, 4.60866018427, -1.43982416145, -0.388454731031, -2.90742197761, 0.187444758531, 2.66953361587, 6.87916789749, -1.25246099771, -0.80213619158, 0.490239247273, -4.52070544206, 1.9815151617, -4.46229763612, -2.28749790966, 0.771352499303, 2.42025535542, 2.63871825487, -3.99023733181, -0.379591050964, 2.64500129424, -1.50502365382, 1.35040224487, 6.8258533247, -2.71874835374, 5.97039779238, 3.11574368961, 6.0121394881, -1.19573643258, 2.25554012485, -0.82195704339, -1.2418186553, 1.11396326277, -1.87990085069 }; +fftval_t tf_real[ 128 ] = { 1.0, 0.998795456205, 0.995184726672, 0.989176509965, 0.980785280403, 0.970031253195, 0.956940335732, 0.941544065183, 0.923879532511, 0.903989293123, 0.881921264348, 0.85772861, 0.831469612303, 0.803207531481, 0.773010453363, 0.740951125355, 0.707106781187, 0.671558954847, 0.634393284164, 0.595699304492, 0.55557023302, 0.514102744193, 0.471396736826, 0.42755509343, 0.382683432365, 0.336889853392, 0.290284677254, 0.242980179903, 0.195090322016, 0.146730474455, 0.0980171403296, 0.0490676743274, 6.12323399574e-17, -0.0490676743274, -0.0980171403296, -0.146730474455, -0.195090322016, -0.242980179903, -0.290284677254, -0.336889853392, -0.382683432365, -0.42755509343, -0.471396736826, -0.514102744193, -0.55557023302, -0.595699304492, -0.634393284164, -0.671558954847, -0.707106781187, -0.740951125355, -0.773010453363, -0.803207531481, -0.831469612303, -0.85772861, -0.881921264348, -0.903989293123, -0.923879532511, -0.941544065183, -0.956940335732, -0.970031253195, -0.980785280403, -0.989176509965, -0.995184726672, -0.998795456205, -1.0, -0.998795456205, -0.995184726672, -0.989176509965, -0.980785280403, -0.970031253195, -0.956940335732, -0.941544065183, -0.923879532511, -0.903989293123, -0.881921264348, -0.85772861, -0.831469612303, -0.803207531481, -0.773010453363, -0.740951125355, -0.707106781187, -0.671558954847, -0.634393284164, -0.595699304492, -0.55557023302, -0.514102744193, -0.471396736826, -0.42755509343, -0.382683432365, -0.336889853392, -0.290284677254, -0.242980179903, -0.195090322016, -0.146730474455, -0.0980171403296, -0.0490676743274, -1.83697019872e-16, 0.0490676743274, 0.0980171403296, 0.146730474455, 0.195090322016, 0.242980179903, 0.290284677254, 0.336889853392, 0.382683432365, 0.42755509343, 0.471396736826, 0.514102744193, 0.55557023302, 0.595699304492, 0.634393284164, 0.671558954847, 0.707106781187, 0.740951125355, 0.773010453363, 0.803207531481, 0.831469612303, 0.85772861, 0.881921264348, 0.903989293123, 0.923879532511, 0.941544065183, 0.956940335732, 0.970031253195, 0.980785280403, 0.989176509965, 0.995184726672, 0.998795456205 }; +fftval_t tf_imag[ 128 ] = { -0.0, -0.0490676743274, -0.0980171403296, -0.146730474455, -0.195090322016, -0.242980179903, -0.290284677254, -0.336889853392, -0.382683432365, -0.42755509343, -0.471396736826, -0.514102744193, -0.55557023302, -0.595699304492, -0.634393284164, -0.671558954847, -0.707106781187, -0.740951125355, -0.773010453363, -0.803207531481, -0.831469612303, -0.85772861, -0.881921264348, -0.903989293123, -0.923879532511, -0.941544065183, -0.956940335732, -0.970031253195, -0.980785280403, -0.989176509965, -0.995184726672, -0.998795456205, -1.0, -0.998795456205, -0.995184726672, -0.989176509965, -0.980785280403, -0.970031253195, -0.956940335732, -0.941544065183, -0.923879532511, -0.903989293123, -0.881921264348, -0.85772861, -0.831469612303, -0.803207531481, -0.773010453363, -0.740951125355, -0.707106781187, -0.671558954847, -0.634393284164, -0.595699304492, -0.55557023302, -0.514102744193, -0.471396736826, -0.42755509343, -0.382683432365, -0.336889853392, -0.290284677254, -0.242980179903, -0.195090322016, -0.146730474455, -0.0980171403296, -0.0490676743274, -1.22464679915e-16, 0.0490676743274, 0.0980171403296, 0.146730474455, 0.195090322016, 0.242980179903, 0.290284677254, 0.336889853392, 0.382683432365, 0.42755509343, 0.471396736826, 0.514102744193, 0.55557023302, 0.595699304492, 0.634393284164, 0.671558954847, 0.707106781187, 0.740951125355, 0.773010453363, 0.803207531481, 0.831469612303, 0.85772861, 0.881921264348, 0.903989293123, 0.923879532511, 0.941544065183, 0.956940335732, 0.970031253195, 0.980785280403, 0.989176509965, 0.995184726672, 0.998795456205, 1.0, 0.998795456205, 0.995184726672, 0.989176509965, 0.980785280403, 0.970031253195, 0.956940335732, 0.941544065183, 0.923879532511, 0.903989293123, 0.881921264348, 0.85772861, 0.831469612303, 0.803207531481, 0.773010453363, 0.740951125355, 0.707106781187, 0.671558954847, 0.634393284164, 0.595699304492, 0.55557023302, 0.514102744193, 0.471396736826, 0.42755509343, 0.382683432365, 0.336889853392, 0.290284677254, 0.242980179903, 0.195090322016, 0.146730474455, 0.0980171403296, 0.0490676743274 }; + +#else + +fftval_t input_data_real[128] = { 0x391e, 0x2667, 0x3467, 0x3325, 0x39e4, 0x396a, 0x3b23, 0x2d90, 0x36c0, 0x27a1, 0x32ff, 0x380b, 0x26cb, 0x325d, 0x3933, 0x385c, 0x330e, 0x38b7, 0x3a7a, 0x1ea8, 0x3a72, 0x3996, 0x3572, 0x30fa, 0x3ba8, 0x3563, 0x2df0, 0x2e31, 0x3ac8, 0x38d4, 0x3a75, 0x39d6, 0x384a, 0x3bc9, 0x360e, 0x386b, 0x3aa3, 0x38f3, 0x3ae5, 0x389e, 0x39a3, 0x29de, 0x334b, 0x34a1, 0x2d1b, 0x3373, 0x2e77, 0x3473, 0x3916, 0x35d6, 0x35ec, 0x32b4, 0x3446, 0x3b7e, 0x392f, 0x38e0, 0x317a, 0x39d5, 0x313b, 0x3612, 0x3beb, 0x391f, 0x3875, 0x397a, 0x3abe, 0x3a35, 0x3354, 0x281c, 0x350c, 0x3449, 0x32c0, 0x3b8b, 0x3b03, 0x3509, 0x393e, 0x3655, 0x3b51, 0x3757, 0x343d, 0x33e4, 0x387e, 0x3434, 0x38ad, 0x3b2f, 0x3664, 0x3305, 0x3bfb, 0x3814, 0x2dd1, 0x2a08, 0x2f04, 0x3905, 0x3a56, 0x36c1, 0x2c11, 0x361b, 0x3bf8, 0x383c, 0x3bc5, 0x3ae3, 0x21e1, 0x39c4, 0x3974, 0x384c, 0x3445, 0x3921, 0x2f24, 0x36f5, 0x3742, 0x3ba1, 0x3b02, 0x3437, 0x3801, 0x31b8, 0x3b4d, 0x3af7, 0x34c6, 0x391d, 0x38df, 0x30e4, 0x3a1a, 0x3851, 0x3a3b, 0x383e, 0x10af, 0x3530, 0x24fc, 0x3b6f, }; +fftval_t input_data_imag[128] = { 0x3b08, 0x3aa7, 0x34ec, 0x2b6a, 0x3b06, 0x3b93, 0x2d7b, 0x37c7, 0x2c6e, 0x3a16, 0x3a20, 0x301c, 0x379b, 0x3866, 0x343e, 0x3afb, 0x36c5, 0x32c7, 0x3850, 0x39d7, 0x3270, 0x34fd, 0x3bf6, 0x3933, 0x3702, 0x3824, 0x2fbf, 0x3331, 0x3569, 0x38b5, 0x335d, 0x330c, 0x2c8b, 0x390c, 0x3353, 0x3b3e, 0x3ae1, 0x2c89, 0x339e, 0x395a, 0x32db, 0x303c, 0x3b7c, 0x3891, 0x3790, 0x3a47, 0x3a76, 0x3218, 0x2e34, 0x36e6, 0x36c7, 0x3779, 0x39d5, 0x3963, 0x3be0, 0x2e4c, 0x3671, 0x356e, 0x3ae5, 0x33f5, 0x3216, 0x372e, 0x36c0, 0x3475, 0x33fe, 0x3b63, 0x3717, 0x3ae4, 0x3867, 0x2a7a, 0x3bff, 0x3ab0, 0x3bc1, 0x3b69, 0x3aca, 0x3152, 0x37c5, 0x32d7, 0x366b, 0x2b81, 0x3610, 0x3be2, 0x343e, 0x3a46, 0x3748, 0x36c5, 0x3ba9, 0x3bf7, 0x3872, 0x39bf, 0x30f4, 0x34bf, 0x3bc0, 0x38a2, 0x3856, 0x39fc, 0x2b51, 0x38ac, 0x3806, 0x3ad2, 0x310a, 0x3bb0, 0x2d21, 0x31f2, 0x38c3, 0x3967, 0x3387, 0x2fac, 0x3b1f, 0x33e1, 0x38c2, 0x38f4, 0x36b5, 0x38ab, 0x382f, 0x3b7a, 0x3289, 0x39bb, 0x33a3, 0x3655, 0x3960, 0x34cd, 0x350f, 0x3a04, 0x2ca5, 0x3755, 0x3bfd, 0x3bf8, }; +fftval_t output_data_real[128] = { 0x53bf, 0xc31e, 0xb830, 0xc2c1, 0x42a7, 0xc20c, 0xb60e, 0x3835, 0x4542, 0xc090, 0xc44a, 0xc46e, 0x3d03, 0xb7ba, 0xbc84, 0xc26c, 0xad06, 0xc03d, 0x44fc, 0xc324, 0x4172, 0x4083, 0x355d, 0xc658, 0x39b3, 0x368c, 0xbce9, 0x43b3, 0x3bc2, 0x3c3d, 0xb67c, 0x3c11, 0x4150, 0xc72e, 0x42b7, 0xbfb9, 0x45cb, 0x46d6, 0x374a, 0xc454, 0xb243, 0xc466, 0x440d, 0x4847, 0x3a5a, 0x417e, 0x3f24, 0xb0d1, 0x44cb, 0xae38, 0xc1df, 0x1014, 0xc3c0, 0xc521, 0xc041, 0xbcaa, 0x432f, 0xba88, 0xba73, 0xbca0, 0xbfaf, 0x3ad7, 0x38d4, 0xb68e, 0x41c6, 0x411f, 0xbc5d, 0x3aa1, 0xbbb3, 0xba80, 0x3ca6, 0xb990, 0xc434, 0xc1da, 0x3c18, 0xc167, 0x3834, 0x40fd, 0x40b2, 0x44f6, 0x31ae, 0x452b, 0xc11c, 0x3df1, 0xc481, 0x3738, 0xc6d0, 0xc501, 0xbbe7, 0x453a, 0x3ef3, 0xc4f4, 0x40de, 0x375d, 0x2f29, 0xc184, 0x34f6, 0xbe57, 0xc013, 0xbc68, 0x4307, 0x3c28, 0x43af, 0x439f, 0x40dd, 0x38f9, 0x455e, 0x47b3, 0x4347, 0x4344, 0xc0f3, 0x453e, 0x3a31, 0xc3d3, 0x44ba, 0xc1a1, 0x3bf2, 0xc279, 0x3796, 0x3a0d, 0xbca1, 0x42a2, 0xc603, 0x40c1, 0x41b0, 0xc34e, 0xc255, 0x4014, }; +fftval_t output_data_imag[128] = { 0x540b, 0x3996, 0x42da, 0x45aa, 0x3c06, 0xc235, 0x4534, 0x4017, 0xc4a3, 0x4106, 0x3da7, 0xc0ea, 0x45de, 0xc44c, 0x3fe9, 0x3e72, 0x431f, 0xbad2, 0x4394, 0x3c7b, 0xc22a, 0x4451, 0x47e5, 0x45aa, 0xc61c, 0x459f, 0x4459, 0x3958, 0x40a0, 0x4569, 0x3744, 0x4196, 0xc0b1, 0x3cb4, 0xc0bd, 0x42b2, 0x3a7d, 0xc2ef, 0xc402, 0xc224, 0x4558, 0xbc9a, 0x3dee, 0x3fe1, 0xc0b8, 0xc3ab, 0x3c37, 0xc140, 0xc089, 0x4488, 0x4461, 0x3efa, 0x3cb7, 0x45dc, 0xc057, 0xb1fb, 0xc193, 0x49a1, 0x4313, 0x3b60, 0xc180, 0xc0c8, 0x45b2, 0xc049, 0xc27d, 0xc4e2, 0xba90, 0x3ef1, 0xc15a, 0x4168, 0xbe47, 0x3a83, 0xc4cc, 0xba9e, 0xb0eb, 0xc199, 0x40a3, 0x406e, 0xc2ce, 0xb137, 0xc21b, 0x3f03, 0x3fce, 0xc401, 0xc40e, 0x3c3c, 0xb764, 0xc961, 0xbd63, 0x42ad, 0x318c, 0xc300, 0xb783, 0xc6c2, 0x2e77, 0x449c, 0xbdc2, 0xb637, 0xc1d1, 0x3200, 0x4157, 0x46e1, 0xbd03, 0xba6b, 0x37d8, 0xc485, 0x3fed, 0xc476, 0xc093, 0x3a2c, 0x40d7, 0x4147, 0xc3fb, 0xb613, 0x414a, 0xbe05, 0x3d67, 0x46d3, 0xc170, 0x45f8, 0x423b, 0x4603, 0xbcc8, 0x4083, 0xba93, 0xbcf8, 0x3c75, 0xbf85, }; +fftval_t tf_real[128] = { 0x3c00, 0x3bfe, 0x3bf6, 0x3bea, 0x3bd9, 0x3bc3, 0x3ba8, 0x3b88, 0x3b64, 0x3b3b, 0x3b0e, 0x3add, 0x3aa7, 0x3a6d, 0x3a2f, 0x39ed, 0x39a8, 0x395f, 0x3913, 0x38c4, 0x3872, 0x381d, 0x378b, 0x36d7, 0x361f, 0x3564, 0x34a5, 0x33c6, 0x323e, 0x30b2, 0x2e46, 0x2a48, 0x0000, 0xaa48, 0xae46, 0xb0b2, 0xb23e, 0xb3c6, 0xb4a5, 0xb564, 0xb61f, 0xb6d7, 0xb78b, 0xb81d, 0xb872, 0xb8c4, 0xb913, 0xb95f, 0xb9a8, 0xb9ed, 0xba2f, 0xba6d, 0xbaa7, 0xbadd, 0xbb0e, 0xbb3b, 0xbb64, 0xbb88, 0xbba8, 0xbbc3, 0xbbd9, 0xbbea, 0xbbf6, 0xbbfe, 0xbc00, 0xbbfe, 0xbbf6, 0xbbea, 0xbbd9, 0xbbc3, 0xbba8, 0xbb88, 0xbb64, 0xbb3b, 0xbb0e, 0xbadd, 0xbaa7, 0xba6d, 0xba2f, 0xb9ed, 0xb9a8, 0xb95f, 0xb913, 0xb8c4, 0xb872, 0xb81d, 0xb78b, 0xb6d7, 0xb61f, 0xb564, 0xb4a5, 0xb3c6, 0xb23e, 0xb0b2, 0xae46, 0xaa48, 0x8000, 0x2a48, 0x2e46, 0x30b2, 0x323e, 0x33c6, 0x34a5, 0x3564, 0x361f, 0x36d7, 0x378b, 0x381d, 0x3872, 0x38c4, 0x3913, 0x395f, 0x39a8, 0x39ed, 0x3a2f, 0x3a6d, 0x3aa7, 0x3add, 0x3b0e, 0x3b3b, 0x3b64, 0x3b88, 0x3ba8, 0x3bc3, 0x3bd9, 0x3bea, 0x3bf6, 0x3bfe, }; +fftval_t tf_imag[128] = { 0x8000, 0xaa48, 0xae46, 0xb0b2, 0xb23e, 0xb3c6, 0xb4a5, 0xb564, 0xb61f, 0xb6d7, 0xb78b, 0xb81d, 0xb872, 0xb8c4, 0xb913, 0xb95f, 0xb9a8, 0xb9ed, 0xba2f, 0xba6d, 0xbaa7, 0xbadd, 0xbb0e, 0xbb3b, 0xbb64, 0xbb88, 0xbba8, 0xbbc3, 0xbbd9, 0xbbea, 0xbbf6, 0xbbfe, 0xbc00, 0xbbfe, 0xbbf6, 0xbbea, 0xbbd9, 0xbbc3, 0xbba8, 0xbb88, 0xbb64, 0xbb3b, 0xbb0e, 0xbadd, 0xbaa7, 0xba6d, 0xba2f, 0xb9ed, 0xb9a8, 0xb95f, 0xb913, 0xb8c4, 0xb872, 0xb81d, 0xb78b, 0xb6d7, 0xb61f, 0xb564, 0xb4a5, 0xb3c6, 0xb23e, 0xb0b2, 0xae46, 0xaa48, 0x8000, 0x2a48, 0x2e46, 0x30b2, 0x323e, 0x33c6, 0x34a5, 0x3564, 0x361f, 0x36d7, 0x378b, 0x381d, 0x3872, 0x38c4, 0x3913, 0x395f, 0x39a8, 0x39ed, 0x3a2f, 0x3a6d, 0x3aa7, 0x3add, 0x3b0e, 0x3b3b, 0x3b64, 0x3b88, 0x3ba8, 0x3bc3, 0x3bd9, 0x3bea, 0x3bf6, 0x3bfe, 0x3c00, 0x3bfe, 0x3bf6, 0x3bea, 0x3bd9, 0x3bc3, 0x3ba8, 0x3b88, 0x3b64, 0x3b3b, 0x3b0e, 0x3add, 0x3aa7, 0x3a6d, 0x3a2f, 0x39ed, 0x39a8, 0x395f, 0x3913, 0x38c4, 0x3872, 0x381d, 0x378b, 0x36d7, 0x361f, 0x3564, 0x34a5, 0x33c6, 0x323e, 0x30b2, 0x2e46, 0x2a48, }; + +#endif diff --git a/benchmarks/vec-fft/dc_data.c b/benchmarks/vec-fft/dc_data.c new file mode 100644 index 0000000..87475c0 --- /dev/null +++ b/benchmarks/vec-fft/dc_data.c @@ -0,0 +1,12 @@ +int input_data_real[1024] = {1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 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1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 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1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576, 1048576}; + +int input_data_imag[1024] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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57876, 64299, 70720, 77138, 83553, 89965, 96373, 102778, 109179, 115576, 121968, 128356, 134740, 141118, 147490, 153858, 160219, 166574, 172923, 179266, 185602, 191931, 198252, 204567, 210873, 217172, 223462, 229744, 236017, 242281, 248537, 254783, 261019, 267246, 273462, 279668, 285864, 292049, 298222, 304385, 310536, 316676, 322803, 328919, 335022, 341112, 347190, 353254, 359305, 365343, 371367, 377377, 383373, 389354, 395320, 401272, 407209, 413130, 419036, 424926, 430800, 436658, 442499, 448324, 454131, 459922, 465695, 471451, 477189, 482909, 488611, 494295, 499960, 505606, 511233, 516841, 522429, 527998, 533547, 539075, 544584, 550072, 555539, 560985, 566410, 571814, 577197, 582557, 587896, 593212, 598506, 603778, 609027, 614253, 619456, 624635, 629792, 634924, 640032, 645117, 650177, 655212, 660223, 665209, 670170, 675106, 680016, 684901, 689760, 694593, 699400, 704180, 708934, 713661, 718362, 723035, 727681, 732300, 736891, 741455, 745990, 750498, 754977, 759428, 763850, 768243, 772608, 776943, 781249, 785526, 789773, 793991, 798178, 802336, 806463, 810560, 814626, 818662, 822667, 826641, 830583, 834495, 838375, 842224, 846040, 849825, 853578, 857299, 860988, 864644, 868268, 871859, 875417, 878942, 882434, 885893, 889318, 892710, 896068, 899393, 902684, 905941, 909163, 912352, 915506, 918626, 921711, 924761, 927777, 930757, 933703, 936613, 939488, 942328, 945132, 947901, 950634, 953331, 955993, 958618, 961207, 963760, 966277, 968757, 971201, 973609, 975979, 978313, 980610, 982871, 985094, 987280, 989429, 991541, 993615, 995652, 997651, 999613, 1001538, 1003424, 1005273, 1007084, 1008857, 1010592, 1012289, 1013948, 1015569, 1017151, 1018695, 1020201, 1021668, 1023097, 1024488, 1025840, 1027153, 1028427, 1029663, 1030860, 1032019, 1033138, 1034218, 1035260, 1036263, 1037226, 1038151, 1039036, 1039883, 1040690, 1041458, 1042186, 1042876, 1043526, 1044137, 1044709, 1045241, 1045734, 1046188, 1046602, 1046977, 1047312, 1047608, 1047865, 1048082, 1048260, 1048398, 1048497, 1048556}; + +int tf_imag[1024] = {0, -6433, -12867, -19300, -25733, -32164, -38595, -45024, -51451, -57876, -64299, -70720, -77138, -83553, -89965, -96373, -102778, -109179, -115576, -121968, -128356, -134740, -141118, -147490, -153858, -160219, -166574, -172923, -179266, -185602, -191931, -198252, -204567, -210873, -217172, -223462, -229744, -236017, -242281, -248537, -254783, -261019, -267246, -273462, -279668, -285864, -292049, -298222, -304385, -310536, -316676, -322803, -328919, -335022, -341112, -347190, -353254, -359305, -365343, -371367, -377377, -383373, -389354, -395320, -401272, -407209, -413130, -419036, -424926, -430800, -436658, -442499, -448324, -454131, -459922, -465695, -471451, -477189, -482909, -488611, -494295, -499960, -505606, -511233, -516841, -522429, -527998, -533547, -539075, -544584, -550072, -555539, -560985, -566410, -571814, -577197, -582557, -587896, -593212, -598506, -603778, -609027, -614253, -619456, -624635, -629792, -634924, -640032, -645117, -650177, -655212, -660223, -665209, -670170, -675106, -680016, -684901, -689760, -694593, -699400, -704180, -708934, -713661, -718362, -723035, -727681, -732300, -736891, -741455, -745990, -750498, -754977, -759428, -763850, -768243, -772608, -776943, -781249, -785526, -789773, -793991, -798178, -802336, -806463, -810560, -814626, -818662, -822667, -826641, -830583, -834495, -838375, -842224, -846040, -849825, -853578, -857299, -860988, -864644, -868268, -871859, -875417, -878942, -882434, -885893, -889318, -892710, -896068, -899393, -902684, -905941, -909163, -912352, -915506, -918626, -921711, -924761, -927777, -930757, -933703, -936613, -939488, -942328, -945132, -947901, -950634, -953331, -955993, -958618, -961207, -963760, -966277, -968757, -971201, -973609, -975979, -978313, -980610, -982871, -985094, -987280, -989429, -991541, -993615, -995652, -997651, -999613, -1001538, -1003424, -1005273, -1007084, -1008857, -1010592, -1012289, -1013948, -1015569, -1017151, -1018695, -1020201, -1021668, -1023097, -1024488, -1025840, -1027153, -1028427, -1029663, -1030860, -1032019, -1033138, -1034218, -1035260, -1036263, -1037226, -1038151, -1039036, -1039883, -1040690, -1041458, -1042186, -1042876, -1043526, -1044137, -1044709, -1045241, -1045734, -1046188, -1046602, -1046977, -1047312, -1047608, -1047865, -1048082, -1048260, -1048398, -1048497, -1048556, -1048576, -1048556, -1048497, -1048398, -1048260, -1048082, -1047865, -1047608, -1047312, -1046977, -1046602, -1046188, -1045734, -1045241, -1044709, -1044137, -1043526, -1042876, -1042186, -1041458, -1040690, -1039883, -1039036, -1038151, -1037226, -1036263, -1035260, -1034218, -1033138, -1032019, -1030860, -1029663, -1028427, -1027153, -1025840, -1024488, -1023097, -1021668, -1020201, -1018695, -1017151, -1015569, -1013948, -1012289, -1010592, -1008857, -1007084, -1005273, -1003424, -1001538, -999613, -997651, -995652, -993615, -991541, -989429, -987280, -985094, -982871, -980610, -978313, -975979, -973609, -971201, -968757, -966277, -963760, -961207, -958618, -955993, -953331, -950634, -947901, -945132, -942328, -939488, -936613, -933703, -930757, -927777, -924761, -921711, -918626, -915506, -912352, -909163, -905941, -902684, -899393, -896068, -892710, -889318, -885893, -882434, -878942, -875417, -871859, -868268, -864644, -860988, -857299, -853578, -849825, -846040, -842224, -838375, -834495, -830583, -826641, -822667, -818662, -814626, -810560, -806463, -802336, -798178, -793991, -789773, -785526, -781249, -776943, -772608, -768243, -763850, -759428, -754977, -750498, -745990, -741455, -736891, -732300, -727681, -723035, -718362, -713661, -708934, -704180, -699400, -694593, -689760, -684901, -680016, -675106, -670170, -665209, -660223, -655212, -650177, -645117, -640032, -634924, -629792, -624635, -619456, -614253, -609027, -603778, -598506, -593212, -587896, -582557, -577197, -571814, -566410, -560985, -555539, -550072, -544584, -539075, -533547, -527998, -522429, -516841, -511233, -505606, -499960, -494295, -488611, -482909, -477189, -471451, -465695, -459922, -454131, -448324, -442499, -436658, -430800, -424926, -419036, -413130, -407209, -401272, -395320, -389354, -383373, -377377, -371367, -365343, -359305, -353254, -347190, -341112, -335022, -328919, -322803, -316676, -310536, -304385, -298222, -292049, -285864, -279668, -273462, -267246, -261019, -254783, -248537, -242281, -236017, -229744, -223462, -217172, -210873, -204567, -198252, -191931, -185602, -179266, -172923, -166574, -160219, -153858, -147490, -141118, -134740, -128356, -121968, -115576, -109179, -102778, -96373, -89965, -83553, -77138, -70720, -64299, -57876, -51451, -45024, -38595, -32164, -25733, -19300, -12867, -6433, 0, 6433, 12867, 19300, 25733, 32164, 38595, 45024, 51451, 57876, 64299, 70720, 77138, 83553, 89965, 96373, 102778, 109179, 115576, 121968, 128356, 134740, 141118, 147490, 153858, 160219, 166574, 172923, 179266, 185602, 191931, 198252, 204567, 210873, 217172, 223462, 229744, 236017, 242281, 248537, 254783, 261019, 267246, 273462, 279668, 285864, 292049, 298222, 304385, 310536, 316676, 322803, 328919, 335022, 341112, 347190, 353254, 359305, 365343, 371367, 377377, 383373, 389354, 395320, 401272, 407209, 413130, 419036, 424926, 430800, 436658, 442499, 448324, 454131, 459922, 465695, 471451, 477189, 482909, 488611, 494295, 499960, 505606, 511233, 516841, 522429, 527998, 533547, 539075, 544584, 550072, 555539, 560985, 566410, 571814, 577197, 582557, 587896, 593212, 598506, 603778, 609027, 614253, 619456, 624635, 629792, 634924, 640032, 645117, 650177, 655212, 660223, 665209, 670170, 675106, 680016, 684901, 689760, 694593, 699400, 704180, 708934, 713661, 718362, 723035, 727681, 732300, 736891, 741455, 745990, 750498, 754977, 759428, 763850, 768243, 772608, 776943, 781249, 785526, 789773, 793991, 798178, 802336, 806463, 810560, 814626, 818662, 822667, 826641, 830583, 834495, 838375, 842224, 846040, 849825, 853578, 857299, 860988, 864644, 868268, 871859, 875417, 878942, 882434, 885893, 889318, 892710, 896068, 899393, 902684, 905941, 909163, 912352, 915506, 918626, 921711, 924761, 927777, 930757, 933703, 936613, 939488, 942328, 945132, 947901, 950634, 953331, 955993, 958618, 961207, 963760, 966277, 968757, 971201, 973609, 975979, 978313, 980610, 982871, 985094, 987280, 989429, 991541, 993615, 995652, 997651, 999613, 1001538, 1003424, 1005273, 1007084, 1008857, 1010592, 1012289, 1013948, 1015569, 1017151, 1018695, 1020201, 1021668, 1023097, 1024488, 1025840, 1027153, 1028427, 1029663, 1030860, 1032019, 1033138, 1034218, 1035260, 1036263, 1037226, 1038151, 1039036, 1039883, 1040690, 1041458, 1042186, 1042876, 1043526, 1044137, 1044709, 1045241, 1045734, 1046188, 1046602, 1046977, 1047312, 1047608, 1047865, 1048082, 1048260, 1048398, 1048497, 1048556, 1048576, 1048556, 1048497, 1048398, 1048260, 1048082, 1047865, 1047608, 1047312, 1046977, 1046602, 1046188, 1045734, 1045241, 1044709, 1044137, 1043526, 1042876, 1042186, 1041458, 1040690, 1039883, 1039036, 1038151, 1037226, 1036263, 1035260, 1034218, 1033138, 1032019, 1030860, 1029663, 1028427, 1027153, 1025840, 1024488, 1023097, 1021668, 1020201, 1018695, 1017151, 1015569, 1013948, 1012289, 1010592, 1008857, 1007084, 1005273, 1003424, 1001538, 999613, 997651, 995652, 993615, 991541, 989429, 987280, 985094, 982871, 980610, 978313, 975979, 973609, 971201, 968757, 966277, 963760, 961207, 958618, 955993, 953331, 950634, 947901, 945132, 942328, 939488, 936613, 933703, 930757, 927777, 924761, 921711, 918626, 915506, 912352, 909163, 905941, 902684, 899393, 896068, 892710, 889318, 885893, 882434, 878942, 875417, 871859, 868268, 864644, 860988, 857299, 853578, 849825, 846040, 842224, 838375, 834495, 830583, 826641, 822667, 818662, 814626, 810560, 806463, 802336, 798178, 793991, 789773, 785526, 781249, 776943, 772608, 768243, 763850, 759428, 754977, 750498, 745990, 741455, 736891, 732300, 727681, 723035, 718362, 713661, 708934, 704180, 699400, 694593, 689760, 684901, 680016, 675106, 670170, 665209, 660223, 655212, 650177, 645117, 640032, 634924, 629792, 624635, 619456, 614253, 609027, 603778, 598506, 593212, 587896, 582557, 577197, 571814, 566410, 560985, 555539, 550072, 544584, 539075, 533547, 527998, 522429, 516841, 511233, 505606, 499960, 494295, 488611, 482909, 477189, 471451, 465695, 459922, 454131, 448324, 442499, 436658, 430800, 424926, 419036, 413130, 407209, 401272, 395320, 389354, 383373, 377377, 371367, 365343, 359305, 353254, 347190, 341112, 335022, 328919, 322803, 316676, 310536, 304385, 298222, 292049, 285864, 279668, 273462, 267246, 261019, 254783, 248537, 242281, 236017, 229744, 223462, 217172, 210873, 204567, 198252, 191931, 185602, 179266, 172923, 166574, 160219, 153858, 147490, 141118, 134740, 128356, 121968, 115576, 109179, 102778, 96373, 89965, 83553, 77138, 70720, 64299, 57876, 51451, 45024, 38595, 32164, 25733, 19300, 12867, 6433}; + diff --git a/benchmarks/vec-fft/fft-data-gen b/benchmarks/vec-fft/fft-data-gen new file mode 100755 index 0000000..a8a14d0 --- /dev/null +++ b/benchmarks/vec-fft/fft-data-gen @@ -0,0 +1,84 @@ +#!/usr/bin/env python + +import sys +import numpy + +def array_print(name, data): + if type_scalar == numpy.float16: + a = ['{:#04x}'.format(h.astype(int)) for h in data.view(dtype=numpy.uint16)] + else: + a = [repr(x) for x in data] + print 'fftval_t {}[{}] = {{ {} }};'.format(name, len(a), ', '.join(a)) + +def array_permute(data, radix = 2): + logradix = int(numpy.log2(radix)) + term_mask = int(radix - 1) +# num_term = int(numpy.log2(len(data)) / logradix) + for i in xrange(0, len(data)): + # Obtain permuted address + i_left = i + permuted = 0 + cur_fft_size = radix + while cur_fft_size <= len(data): + permuted = (permuted << logradix) | (i_left & term_mask) + i_left >>= logradix + cur_fft_size <<= logradix + # Permute only once and when addresses are different + if i < permuted: + tmp = data[i] + data[i] = data[permuted] + data[permuted] = tmp + +fft_size = 1024 +type_scalar = numpy.float16 +permute = True + +if len(sys.argv) > 1: + type_scalar = { + '16' : numpy.float16, + '32' : numpy.float32, + '64' : numpy.float64 }.get(sys.argv[1].strip(), None) + if type_scalar == None: + sys.exit('Invalid datatype') + +if len(sys.argv) > 2: + fft_size = sys.argv[2].strip() + if not fft_size.isdigit(): + sys.exit('Invalid FFT size') + fft_size = int(fft_size) + +numpy.random.seed(seed=0) + +print '#include "fft_const.h"' + +# Generate input data +input_real = numpy.random.uniform(size=fft_size).astype(type_scalar) +input_imag = numpy.random.uniform(size=fft_size).astype(type_scalar) + +# Compute reference FFT output +type_cmplx = numpy.complex128 if (type_scalar == numpy.float64) else numpy.complex64 +input_cmplx = input_real.astype(type_cmplx) +input_cmplx.imag = input_imag +output_cmplx = numpy.fft.fft(input_cmplx) + +if permute: + array_permute(input_real) + array_permute(input_imag) + +array_print('input_data_real', input_real) +array_print('input_data_imag', input_imag) + +output_real = output_cmplx.real.astype(type_scalar) +output_imag = output_cmplx.imag.astype(type_scalar) + +array_print('output_data_real', output_real) +array_print('output_data_imag', output_imag) + +# Generate twiddle factors (TFs) +# Negate sine since twiddle factor angles are generated *clockwise* from 0 +rad = [(2.0 * numpy.pi * (float(i) / fft_size)) for i in xrange(fft_size)] +tf_real = numpy.cos(rad).astype(type_scalar) +tf_imag = -numpy.sin(rad).astype(type_scalar) + +array_print('tf_real', tf_real) +array_print('tf_imag', tf_imag) diff --git a/benchmarks/vec-fft/fft_const.h b/benchmarks/vec-fft/fft_const.h new file mode 100644 index 0000000..eb6f156 --- /dev/null +++ b/benchmarks/vec-fft/fft_const.h @@ -0,0 +1,69 @@ +#ifndef __FFT_CONST_H +#define __FFT_CONST_H + +#ifndef FFT_SIZE +#define FFT_SIZE 1024 +#endif /* FFT_SIZE */ + +#if 0 + #define FFT_FIXED + #define DATA_IN_PERMUTED +#else +// #define DATA_IN_UNPERMUTED + #define FFT_FLOATING + #define FFT_FLOATING_PREC 64 +#endif + +#if defined(FFT_FIXED) + #define FIX_PT 20 + #define DATA_WIDTH 32 +#elif defined(FFT_FLOATING) + #if FFT_FLOATING_PREC == 16 + #define FP_HALF + #elif FFT_FLOATING_PREC == 32 + #define FP_SINGLE + #elif FFT_FLOATING_PREC == 64 + #define FP_DOUBLE + #else + #error "Unsupported floating-point configuration" + #endif + #define DATA_WIDTH FFT_FLOATING_PREC +#else + #error "Define fixed or floating point in fft_const.h" +#endif + +#if !defined(__ASSEMBLY__) + +#include <stdint.h> +#include <inttypes.h> + +#if defined(FFT_FIXED) + typedef int fftval_t; + typedef int fftbit_t; + #define FFT_PRI "%08x" +#elif defined(FFT_FLOATING) + #if defined(FP_HALF) + typedef uint16_t fftval_t; + typedef uint16_t fftbit_t; + #define FFT_PRI "%04" PRIx16 + #elif defined(FP_SINGLE) + typedef float fftval_t; + typedef uint32_t fftbit_t; + #define FFT_PRI "%08" PRIx32 + #elif defined(FP_DOUBLE) + typedef double fftval_t; + typedef uint64_t fftbit_t; + #define FFT_PRI "%016" PRIx64 + #endif +#endif + +extern fftval_t input_data_real[FFT_SIZE]; +extern fftval_t input_data_imag[FFT_SIZE]; +extern fftval_t output_data_real[FFT_SIZE]; +extern fftval_t output_data_imag[FFT_SIZE]; +extern fftval_t tf_real[FFT_SIZE]; +extern fftval_t tf_imag[FFT_SIZE]; + +#endif /* __ASSEMBLY__ */ + +#endif /* __FFT_CONST_H */ diff --git a/benchmarks/vec-fft/fft_cos_data.c b/benchmarks/vec-fft/fft_cos_data.c new file mode 100644 index 0000000..de195e5 --- /dev/null +++ b/benchmarks/vec-fft/fft_cos_data.c @@ -0,0 +1,6 @@ +float input_data_real[ 1024 ] = { 1.0, 0.999981175283, 0.999924701839, 0.999830581796, 0.999698818696, 0.999529417501, 0.999322384588, 0.999077727753, 0.998795456205, 0.998475580573, 0.9981181129, 0.997723066644, 0.997290456679, 0.996820299291, 0.996312612183, 0.995767414468, 0.995184726672, 0.994564570734, 0.993906970002, 0.993211949235, 0.992479534599, 0.991709753669, 0.990902635428, 0.990058210262, 0.989176509965, 0.988257567731, 0.987301418158, 0.986308097245, 0.985277642389, 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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }; +double input_data_imag[ 1024 ] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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a/benchmarks/vec-fft/fft_gaussian_float.c b/benchmarks/vec-fft/fft_gaussian_float.c new file mode 100644 index 0000000..9d3cb19 --- /dev/null +++ b/benchmarks/vec-fft/fft_gaussian_float.c @@ -0,0 +1,6 @@ +float input_data_real[ 1024 ] = { 0.639426798458, 0.0250107552227, 0.275029318369, 0.223210738149, 0.736471214164, 0.676699487423, 0.892179567705, 0.0869388326294, 0.421921819685, 0.0297972194381, 0.218637974804, 0.505355288103, 0.0265359696839, 0.198837650687, 0.64988443778, 0.544941480603, 0.220440622041, 0.589265683876, 0.809430456678, 0.00649875967806, 0.805819251833, 0.698139394988, 0.340250516518, 0.155479499812, 0.957213072207, 0.336594545113, 0.0927458433801, 0.0967163768335, 0.847494366347, 0.603726031367, 0.807128273274, 0.729731786694, 0.536228091455, 0.973115763979, 0.378534377208, 0.552040631273, 0.829404664253, 0.618519752364, 0.861706900311, 0.577352145257, 0.704571836215, 0.0458243836557, 0.227898275652, 0.289387963602, 0.0797919769236, 0.232790886361, 0.10100142941, 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0.0674439195637, 0.0613207363022, 0.0551952443497, 0.0490676743274, 0.0429382569349, 0.0368072229414, 0.0306748031766, 0.0245412285229, 0.0184067299058, 0.0122715382857, 0.00613588464915 }; diff --git a/benchmarks/vec-fft/vec-fft.c b/benchmarks/vec-fft/vec-fft.c new file mode 100644 index 0000000..47d13cd --- /dev/null +++ b/benchmarks/vec-fft/vec-fft.c @@ -0,0 +1,169 @@ +// ************************************************************************* +// multiply function (c version) +// ------------------------------------------------------------------------- +#include "vec-fft.h" +#include "fft_const.h" + +int log2down(int in) +{ + int counter = -1; + while(in > 0) { counter++; in = in >> 1; } + return counter; +} + +void fft(fftval_t workspace_real[], fftval_t workspace_imag[], + const fftval_t tf_real[], const fftval_t tf_imag[]) //size is FFT_SIZE +{ + const int num_stage_ops = FFT_SIZE >> 1; + const int logfftsize = log2down(FFT_SIZE); + + int given_vl; + // First, setup hwacha to what we need: +#if defined(FFT_FIXED) + // num_stage_ops VL, 9 x-reg (1 zero, 2 ctrl, 4 data, 2 scratch), 1 fpu (avert bug) + asm volatile ("vsetcfg 9, 1"); +#elif defined(FFT_FLOATING) + asm volatile ("vsetcfg 8, 6"); + #if defined(FP_SINGLE) +// asm volatile ("vsetprec 32"); + #elif defined(FP_HALF) +// asm volatile ("vsetprec 16"); + #elif defined(FP_DOUBLE) + #else + #error wat + #endif +#endif + asm volatile ("vsetvl %[gvl], %[nvl]" : [gvl]"=r"(given_vl) : [nvl]"r"(num_stage_ops)); + asm volatile ("fence"); // Make sure prefilling of workspace is complete + + for(int stage = 0; stage < logfftsize; stage++) + { + const int half_cur_fft_size = (1 << stage); + const int sel_block_op = half_cur_fft_size-1; + const int sel_block = ~sel_block_op; + const int tf_scale = logfftsize - stage - 1; + + // Stripmining loop + for(int lane_start = 0; lane_start < num_stage_ops; lane_start += given_vl) + { + // Setup new vector length for this stripmining pass + const int needed_vl = num_stage_ops - lane_start; + asm volatile ("vsetvl %[gvl], %[nvl]" : [gvl]"=r"(given_vl) : [nvl]"r"(needed_vl)); + +#if defined(FFT_FIXED) + // First VF block to have vector unit determine what op it is doing + asm volatile (R"( + vmsv vx1, %[lane_start] + vmsv vx2, %[sel_block] + vmsv vx3, %[sel_block_op] + vmsv vx4, %[tf_scale] + vmsv vx5, %[half_cfs] + vf 0(%[vf_ptr]) + )": // no output registers + : [lane_start]"r"(lane_start), + [sel_block]"r"(sel_block), + [sel_block_op]"r"(sel_block_op), + [tf_scale]"r"(tf_scale), + [half_cfs]"r"(half_cur_fft_size), + [vf_ptr]"r"(&vf_fft_init) + : // no clobber + ); + + // Second VF block loads tf and op2 then calculates scale factor + asm volatile (R"( + vmsv vx4, %[tf_real] + vmsv vx5, %[tf_imag] + vmsv vx6, %[workspace_real] + vmsv vx7, %[workspace_imag] + vmsv vx8, %[fix_pt] + vf 0(%[vf_ptr]) + )": // no output registers + : [tf_real]"r"(tf_real), + [tf_imag]"r"(tf_imag), + [workspace_real]"r"(workspace_real), + [workspace_imag]"r"(workspace_imag), + [fix_pt]"r"(FIX_PT), + [vf_ptr]"r"(&vf_fft_scale) + : // no clobber + ); +#elif defined(FFT_FLOATING) + // First VF block to have vector unit determine what op it is doing + asm volatile (R"( + vmsv vx1, %[lane_start] + vmsv vx2, %[sel_block] + vmsv vx3, %[sel_block_op] + vmsv vx4, %[tf_scale] + vmsv vx5, %[half_cfs] + vf 0(%[vf_ptr]) + )": // no output registers + : [lane_start]"r"(lane_start), + [sel_block]"r"(sel_block), + [sel_block_op]"r"(sel_block_op), + [tf_scale]"r"(tf_scale), + [half_cfs]"r"(half_cur_fft_size), + [vf_ptr]"r"(&vf_fft_init) + : // no clobber + ); + + // Second VF block loads tf and op2 then calculates scale factor + asm volatile (R"( + vmsv vx4, %[tf_real] + vmsv vx5, %[tf_imag] + vmsv vx6, %[workspace_real] + vmsv vx7, %[workspace_imag] + vf 0(%[vf_ptr]) + )": // no output registers + : [tf_real]"r"(tf_real), + [tf_imag]"r"(tf_imag), + [workspace_real]"r"(workspace_real), + [workspace_imag]"r"(workspace_imag), + [vf_ptr]"r"(&vf_fft_scale) + : // no clobber + ); +#else + #error no mode selected in vec-fft/vec-fft.c +#endif + + // Third VF block actually calculates the results + asm volatile (R"( + vmsv vx5, %[workspace_real] + vmsv vx6, %[workspace_imag] + vf 0(%[vf_ptr]) + )": // no output registers + : [workspace_real]"r"(workspace_real), + [workspace_imag]"r"(workspace_imag), + [vf_ptr]"r"(&vf_fft_exec) + : // no clobber + ); + + // Fourth VF block stores first result + asm volatile (R"( + vmsv vx3, %[workspace_real] + vmsv vx4, %[workspace_imag] + vf 0(%[vf_ptr]) + )": // no output registers + : [workspace_real]"r"(workspace_real), + [workspace_imag]"r"(workspace_imag), + [vf_ptr]"r"(&vf_fft_store1) + : "memory" + ); + + // Fifth VF block stores second result + asm volatile (R"( + vmsv vx3, %[workspace_real] + vmsv vx4, %[workspace_imag] + vf 0(%[vf_ptr]) + )": // no output registers + : [workspace_real]"r"(workspace_real), + [workspace_imag]"r"(workspace_imag), + [vf_ptr]"r"(&vf_fft_store2) + : "memory" + ); + + } + } + + asm volatile ("fence"); // Make sure all that work from vector unit is visible to CPU + + return; +} diff --git a/benchmarks/vec-fft/vec-fft.h b/benchmarks/vec-fft/vec-fft.h new file mode 100644 index 0000000..117be3a --- /dev/null +++ b/benchmarks/vec-fft/vec-fft.h @@ -0,0 +1,19 @@ +#ifndef __VEC_FFT_H +#define __VEC_FFT_H + +#include "fft_const.h" + +// Simple C version + +int log2down(int in); +void fft(fftval_t workspace_real[], fftval_t workspace_imag[], const fftval_t tf_real[], const fftval_t tf_imag[]); + +// VF blocks - DO NOT CALL FROM SCALAR CORE +extern void vf_test(); +extern void vf_fft_init(); +extern void vf_fft_scale(); +extern void vf_fft_exec(); +extern void vf_fft_store1(); +extern void vf_fft_store2(); + +#endif /* __VEC_FFT_H */ diff --git a/benchmarks/vec-fft/vec-fft_gaussian.c b/benchmarks/vec-fft/vec-fft_gaussian.c new file mode 100644 index 0000000..bc1de95 --- /dev/null +++ b/benchmarks/vec-fft/vec-fft_gaussian.c @@ -0,0 +1,12 @@ +int input_data_real[1024] = {-896054, 949431, -1181578, 253232, -258369, -152000, 619625, -76677, 465711, -549326, -886958, -966940, 642303, -1412490, 762634, -220791, -1315319, -2559848, 1722557, -1279554, -784697, -85712, -470933, -2785179, -66578, -1597429, -409911, 896, 1027796, 48085, 1774527, 562113, 1795654, 983044, -60377, -1573581, 1030270, -773291, -987375, -291152, 1126075, -406236, -630897, 1531200, 153252, -1544032, 518357, -479677, -489022, 768468, 216657, 978756, 60305, 323742, -266762, -1654684, 1162783, 367356, -215242, 77760, 584574, 352846, -1205031, 202189, 12621, -777742, 1241171, -353489, -201242, 268114, 7405, 511548, 594019, 1378269, -470360, -1419079, -2068041, -224985, 773760, -133786, 166345, 56818, -329117, 710806, -406329, -325712, -1090084, 70838, 1004493, 716570, 1557742, 1814687, -1044653, 865660, 423172, 280485, 122644, 1599035, 836955, -966475, -731759, -1342635, -918704, -478514, -1729195, -275916, 1481397, -80107, -320867, 1571394, 441358, 1095253, 123305, 515740, 558500, 735220, -1409019, -192480, 750830, -385698, -133846, 582203, -538534, 906199, 448649, -1011173, 1112875, 305645, -427417, -1621730, -771200, -807072, -1648200, 2275694, -250040, 166780, 75114, 1498792, -852391, -1449432, 387756, 590382, 630725, 1111966, -1463601, 1379964, 588656, 36544, 585505, -675475, -1147007, 122834, -2281502, 1148931, 840446, -1322731, 2822403, 164183, 799482, 212823, -1077917, -2276541, -2416247, -1866483, 25406, -532814, -28766, -3399, -229289, -884731, -697664, 1388647, 1413131, 695668, 1600785, 1053622, 1882168, 807694, 1496109, 414407, -354594, 852655, -726330, -760018, 203035, 861991, 2077817, -278761, -1692805, -163980, 152551, 99640, -1544466, 424749, 600022, -224627, 1700150, 257985, -710227, -653561, -278079, 65958, 536047, -514225, 131065, 1879774, 1325692, -418569, -94234, -1567061, -1329031, -185396, 321072, -576789, -2082050, 120663, -1112296, -526319, 763200, -26381, 1324391, -740749, 173611, -1034909, -400867, -599852, -854975, 506465, -470497, -1690555, -599600, -774910, 480166, -551595, -154846, 1148952, -531685, -1420372, 115244, -44897, 224230, -235359, -491645, 580113, -930422, -1959150, 660689, -312934, -775785, -1447388, -738147, 327008, 117518, -1024839, -742963, 1113591, 512088, 981759, 224251, 879687, 530700, 793549, -1133250, -1984799, -201157, -226046, -693217, 1865422, -1323405, 727875, 1099706, -572954, 876134, 5546, -359252, -1477340, -1827760, 1425401, -713946, 407302, 296915, 428736, -1928924, 199630, -268383, 524386, -954547, -1009395, -299817, -310362, -3118676, 619580, 274035, -291538, 10998, 54373, -2682711, 1059473, 1900561, -1072897, 390315, 553662, 286722, -575054, 291089, -324509, -2201875, -1739589, -592230, -2358024, 1035206, 101656, 51362, -161931, 982101, 1972023, -940406, 117267, 919302, 706673, -526962, 3251470, -70727, 1354903, -123238, 191080, 2197403, -907972, -1631270, -273662, -43394, 100110, -1757122, 424462, -318587, 241805, -1161233, -766219, -844215, -424058, -571869, 1058981, -576705, -69864, 786586, 3420949, 1175440, -1369774, -1033382, 1895799, -160257, -500482, 649412, 523523, 1044180, 455826, 604125, 781678, -35555, -380257, -2101152, -2052395, 1345031, -1749075, -1898768, 2596126, 877930, 886063, -1747101, 361069, -2709924, -387654, 1461459, 278642, 284030, -2189727, -579640, -410905, 1800776, -387552, -616487, -891888, 1293689, 544185, 165521, -746200, 25612, -748496, -693907, 440270, -1355509, 802877, -226185, -122957, -163764, 706156, -599130, 2085773, 687121, 1536468, -197261, -65999, -602517, -1996625, 711481, 558923, 1575241, -131589, 1443891, 853304, 1450518, 2433068, -614678, 902956, 276921, -865560, 1250774, 1178148, 1627304, -526388, -293789, 163521, -2227160, -1681836, 1054701, -2316942, -575982, -220544, -907539, -728331, -149547, -309108, 1339888, -698216, 333701, 437526, 2094829, -1361341, -461547, 1162315, 1493649, -1052221, 403851, 841804, 2322413, 271887, 1100268, 954880, 97292, 638758, 300629, 654241, -1190910, -141642, 709317, -1761989, -1445740, 1071331, 1503261, -492201, -975276, 730555, -450130, -678104, -690089, -1439162, 226482, -48190, 977167, -403028, -660667, 602354, -970278, 376586, 1099863, -537913, 627956, -71364, -819583, -116110, 114762, 1227038, -416023, 1263602, 419692, 1489545, -323662, 57509, 148590, -627405, -1416122, -994706, -1207921, 2849186, 87464, 38164, -790326, -810378, 917028, -1707856, -782588, 39726, 1311549, 476992, 121776, -5966, -1107219, -113871, -1836494, 292648, 782507, -327742, 1568375, 1031082, 875287, -949597, -364015, -1345238, 2049161, 1199569, -1566459, 432513, -697595, -1989664, 117455, -298029, -372192, -278563, 785990, -307587, 2308882, -128000, 853709, -469916, 569248, -1013809, -92453, -612595, -976635, 407757, -278549, -553747, -1127594, 35556, -967385, -1254461, 2458671, -1235129, 112282, -7618, 1232264, -1584499, 546417, 636949, -788087, 204249, 563736, 905080, 24683, -772095, 957269, -476610, 3997491, -1132151, -87573, -1925741, 423206, 1759035, 345800, -1505568, 857837, 1280631, 672655, 1133353, -2360246, -310429, 1471262, 1874920, -942267, -494638, -1092077, -10703, -798528, 291551, 195560, 603693, 485551, -37890, -681278, 1318510, -1775936, -267078, -1193401, -626711, 427957, -977820, 1177448, -1891652, -486457, -1858903, -251575, 1087978, -1625087, 298155, -1557769, 1112788, 1633070, 742091, 750361, 717342, -597939, -393911, -348514, 1606463, 1104431, -1780884, -1724355, -1087455, -626704, -234591, -841, 595062, -210024, -1150164, 298276, -1357687, 1092760, -795133, 437956, -1073763, -541, -1756437, -423091, -135638, -501750, 1843207, -499411, 515043, -347171, -1864412, 2081029, 935757, -1217682, -862780, 643680, -1682284, 1052595, -1055351, 1278938, -2296045, 728516, -1328562, 316609, -503151, -1317546, -310576, -821390, 717855, -447765, -82472, 226472, -2007236, 1839585, -908416, -131113, 61112, -439936, 37521, -56853, -322043, -537081, -1305022, 613039, -398354, -2251352, -274268, 213708, 1216898, -145297, 163831, 802134, 616814, 742237, 71663, -181725, -234834, 1567310, -433700, 1143683, 1217074, 588362, 880977, 257134, -251325, 419032, 1358747, -1010892, 911781, -114881, 1358209, 1938967, 2496063, 643557, 1131044, 1215299, -1293521, -552701, 535820, -59013, -364820, 401230, -493578, 934606, 947383, 90222, -982021, 823033, -767065, 719868, 555083, -542885, -248389, 683906, -1000980, 960526, 379686, -1332005, 3005752, -1014656, -707705, 957653, 1395720, 695949, -2199684, -1472357, -1402525, -1056170, -773175, -1038523, -1648483, 439225, -604068, 323281, 990838, -258093, -642187, 638228, 1016123, 1215852, -755431, -791548, 232428, -82638, 420739, -1182173, 2073021, -190956, -1426757, 1310320, -529883, 905258, 232249, -107927, -778138, -739516, 819476, 380856, 324304, 750739, -85899, -224870, 2741555, 241328, -1001409, 410347, -803508, 1603523, 83407, -1310198, -841961, -1499826, -231665, -1204370, 365869, 657035, -870479, -947226, 41541, 53460, 1185594, 197060, -442508, 560089, -648000, -1789746, 199013, 792625, 983644, -1255249, 611407, -642979, 2761, 1029260, 165283, -346945, -1241505, -1867499, -330354, 453762, 1144514, 1677530, -794614, -113484, 93134, 174381, 91979, -1072786, 546927, -950065, -1068562, -1316833, 2010054, 1167861, 376645, -1598679, -330354, -64535, -439935, 108686, -122528, -816010, -1657702, 1640815, -729089, -2109620, -1544674, 1751899, 828989, 1396845, -840295, 807944, -1422573, -1962193, -1494306, 1100314, -1035079, -113884, -755568, 311640, 21811, 1118977, 1769466, 272869, 1483856, -2397511, -1212979, -1870837, 66655, -844513, 566095, 258971, -2441991, -53408, 2379521, 1579490, 94538, -1729911, -2271954, -92893, -57722, 755889, 971922, 61839, 1289233, -1708188, 429444, 329090, -846816, -1406843, -329808, -487371, -1342151, -7656, 2160620, 1048363, -1481379, -1973413, 89442, -863813, -334120, 2920250, 1679680, -203732, -840043, 812270, -1065058, 1000115, -1755099, 1098146, -206412, -352184, 45945, -2653853, 539338, -217170, -25474, -1541171, -640479, -1465498, -590507, -294424, 1133931, -258876, -1336660, -36708, -136578, 274059, 2340197, -1661670, -569377, 11224, -781516, 1231584, 2084167, 647286, 1491175, 1359026, 1980953, -529280, 326660, 833554, 1246125, -1181280, -440724, -999991, -1751126, -1058615, 1202373, 379613, -94962, -548041, -2378721, 340897, 1644642, 384925, 10212, -1439416, 1377793, 1736966, -677616, -185008, 1062970, 334065, -923961, 1591540, -323994, 1729168, 1105046, -261575, -256889, 417819, 591476, -1039900, -873951, 299386, -365, -574062, -12822, 773415, -1887046, 1720955, 401646, 903317, 843614, 24321, 397914, -517594, -966687, 1225655, 1041758, 1609662, 530653, 2082272, 379586, -653861, -1324874, -543320, -902844, -156747, 314204, -221853, 698115, 2373708, -473267, -867591, 1789907, 50399, 148680, 110642, 2565631, 1338325, 1122299, -771531, -434336, 962718, -417205, 325343, 221979, -432146, 2039328, -496594, 646733, 707371, -555182, -499570, -1122461, 70865, -267403, -21031, 967469, 515973, 1838992, 1806965, -118340}; + +int input_data_imag[1024] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; + +int output_data_real[1024] = {-12552904, 900359, 13572614, 6612100, 21544345, 11727877, 41132063, 19376007, 28943753, -27164137, -33144128, 6308054, -4036209, 5075419, 61637708, -7000522, 10258235, -3290422, -1930761, -34401327, 11137064, 7072560, -5882191, -220280, 23820092, -2747162, -28342204, 3125936, 7067612, -29776710, 55435764, -17075007, -19174432, 20671700, -12850843, -7092760, 28566808, 7334062, -4448199, 9472241, 47990150, -14256806, 34713414, 685658, -11454543, -23878239, -3851980, -31644251, -37423854, -1393894, 7232213, 8636293, 11497913, 9667982, 35262268, 5288923, -55684640, 3700995, -22558252, 18480571, -3559982, -8088458, -4285223, 7405114, -7771936, 12380211, -22448319, -4486944, -5799558, -6360713, -42620553, 9922426, 53490, 34344676, 9036257, -11010380, 8992865, 6702815, 37459231, -51621029, 45427877, -33475926, 6145230, -1165894, 9274164, -6597275, -3224277, 7626625, 61264116, -44474201, 124449, -2018025, 17789771, -17386333, 21059636, 25853157, 24492414, -36973351, -898990, 10429825, 33784360, -12611474, -9253302, -11470671, -23838238, -5434085, -8063059, -10329404, -24686045, 7658790, -17604946, 4041983, 17475815, -15225635, -6527846, -73005557, -386102, 17003988, -12259825, -11144953, 36458684, 29952905, 23484279, -30698712, 34127344, 9315402, -786106, -20800916, 27201257, 4772119, -20300899, -5423789, 30842314, -24840735, -18319755, 50925957, 19428607, -20411834, 12547811, -1014932, 10278862, -32309319, -1845021, -1849277, -45728792, 2285470, 35351079, 4290917, -30853329, -8422261, -36146114, 27125965, -17918864, -3137631, 16473491, 4954133, -15439592, 17157868, -18076982, -34202615, -18793524, -10174558, -2904950, 11985992, -44150120, -35036737, 21105041, 20053489, -1150444, 5200899, -9805414, -23632872, -9796924, -17291839, -12551635, -16640164, -6028118, -12190830, -10279820, -883003, 3527116, 40755752, 28098784, -7167611, 5362554, -41423374, 24889496, 47850412, 12089976, -37773935, -18754709, 46972743, 22713778, -16370229, 26601571, 6009203, -23452807, -11836470, 43211515, 20586799, 33670875, -50098827, 38216755, 3992212, -48197762, 10221413, -4180759, 38877047, 24300809, 29759474, -3046819, -24536720, 36519832, -32126982, 48288800, -35312888, 609558, -47953658, -37884802, 25200530, 4336904, 1479356, -7797884, -18955924, -32376585, -21405801, 29384571, -24481459, 2543253, 17158726, -2776591, 11240742, 15819802, -6537788, -4704053, 714275, 11628194, 28723061, 5738400, -37731881, 13312717, 5031202, 3486856, 33969822, -45736651, 9926004, 11254269, -8851157, -32157646, 12021993, 5884165, 15241604, 6434347, -17375580, -15489770, 52491003, -15225800, -14319845, 16184057, -23298538, -12183843, 15891533, -24134472, -15409885, -33973366, 36464591, -41740876, -5814469, -47863361, 5361930, 23994350, 25062493, -3595486, 5781951, 11066975, 20050830, 1161667, -48325555, -50611922, 9501699, 40705759, -5313072, -9659277, 10592603, -20218838, 18738334, -3328681, 36037414, -7491180, -31052879, -16631065, 8521060, 33240862, 32028228, 4855574, -4137820, -2219601, 18511495, -18457783, 32503042, -24587081, -10376774, 48721064, 5739730, -19871347, -3666797, 2290638, -46611214, 34189522, 34232428, -76237564, 16828591, -653519, -24934144, -13619213, -34352692, -9241485, -38754679, -29896052, 14155622, -14851765, -7247528, -11442225, 23899339, 21619168, 16078611, 1056057, 12534212, -8524125, -18563168, 1189818, 3284210, 18933819, -168384, -19548176, 3351897, 26023992, 5652407, 18821169, 5444904, -21497967, -18921004, 16911041, -28914605, -32035931, 29907843, 25885333, -4662420, -44175706, -18961154, -12390312, -30787883, 234931, 20687676, 1626383, 24397270, 28930792, 23854935, 3621212, -14037045, 5835273, -22733870, -15069814, 22891991, -5135262, -38748231, -8301851, -32091129, 6556125, 19593984, 29121989, 21557498, 24757875, 7340453, -12388807, -14846595, 31262548, -19666223, 6846384, 25564004, 1344657, -14261594, 34748326, 26024037, -2144417, -16123700, 14820402, 11115160, -24641550, -22153858, -9135007, 5480795, -2482695, 29012030, 20961896, -10222219, 3885264, -11027804, -22889506, 34689823, 8311915, -22242556, 18673513, -5202883, 5908575, 23036139, -3855230, -74608942, 13512302, -9837005, 3273908, -49960540, -11076455, 45599654, -40257199, 9076658, -27009729, 4399532, -13005537, -28775110, -3973568, -21385680, -14196021, -24651745, -18867054, -19140980, 29662849, -29940752, -18104043, -16287558, -9058976, 28073203, 27184046, -7723259, 701913, 18190003, 12586763, -34934264, -11473700, 4147803, 12865353, -23153211, 14184342, 849631, 9742551, 15656015, 1221034, -2745933, -55104836, 818333, 10184835, -39362197, 3106268, 49992663, 37017075, 3750303, -983440, -10290521, 4533740, 8052801, -27625442, -11484030, -5162240, 44681978, -14633727, 21739135, 6304123, 29959360, -17983352, 13539318, -42605105, -16083591, -41238795, -734838, -18941413, -23180474, 5784245, 42435559, -9134333, 7998833, -6148840, -35251769, -11080087, 5868914, 20072717, -24259041, -3030660, 16518116, -63597382, 21360935, 6670140, 27257482, -1314107, 7280448, 55584322, 9679983, 1404784, -20769472, -9417164, -15378773, -37098082, 20582563, -20200971, 4098965, 3273742, 5234704, 17739141, -35916362, 2538992, 7932900, 13107659, -66841471, -16623704, -66841471, 13107659, 7932900, 2538992, -35916362, 17739141, 5234704, 3273742, 4098965, -20200971, 20582563, -37098082, -15378773, -9417164, -20769472, 1404784, 9679983, 55584322, 7280448, -1314107, 27257482, 6670140, 21360935, -63597382, 16518116, -3030660, -24259041, 20072717, 5868914, -11080087, -35251769, -6148840, 7998833, -9134333, 42435559, 5784245, -23180474, -18941413, -734838, -41238795, -16083591, -42605105, 13539318, -17983352, 29959360, 6304123, 21739135, -14633727, 44681978, -5162240, -11484030, -27625442, 8052801, 4533740, -10290521, -983440, 3750303, 37017075, 49992663, 3106268, -39362197, 10184835, 818333, -55104836, -2745933, 1221034, 15656015, 9742551, 849631, 14184342, -23153211, 12865353, 4147803, -11473700, -34934264, 12586763, 18190003, 701913, -7723259, 27184046, 28073203, -9058976, -16287558, -18104043, -29940752, 29662849, -19140980, -18867054, -24651745, -14196021, -21385680, -3973568, -28775110, -13005537, 4399532, -27009729, 9076658, -40257199, 45599654, -11076455, -49960540, 3273908, -9837005, 13512302, -74608942, -3855230, 23036139, 5908575, -5202883, 18673513, -22242556, 8311915, 34689823, -22889506, -11027804, 3885264, -10222219, 20961896, 29012030, -2482695, 5480795, -9135007, -22153858, -24641550, 11115160, 14820402, -16123700, -2144417, 26024037, 34748326, -14261594, 1344657, 25564004, 6846384, -19666223, 31262548, -14846595, -12388807, 7340453, 24757875, 21557498, 29121989, 19593984, 6556125, -32091129, -8301851, -38748231, -5135262, 22891991, -15069814, -22733870, 5835273, -14037045, 3621212, 23854935, 28930792, 24397270, 1626383, 20687676, 234931, -30787883, -12390312, -18961154, -44175706, -4662420, 25885333, 29907843, -32035931, -28914605, 16911041, -18921004, -21497967, 5444904, 18821169, 5652407, 26023992, 3351897, -19548176, -168384, 18933819, 3284210, 1189818, -18563168, -8524125, 12534212, 1056057, 16078611, 21619168, 23899339, -11442225, -7247528, -14851765, 14155622, -29896052, -38754679, -9241485, -34352692, -13619213, -24934144, -653519, 16828591, -76237564, 34232428, 34189522, -46611214, 2290638, -3666797, -19871347, 5739730, 48721064, -10376774, -24587081, 32503042, -18457783, 18511495, -2219601, -4137820, 4855574, 32028228, 33240862, 8521060, -16631065, -31052879, -7491180, 36037414, -3328681, 18738334, -20218838, 10592603, -9659277, -5313072, 40705759, 9501699, -50611922, -48325555, 1161667, 20050830, 11066975, 5781951, -3595486, 25062493, 23994350, 5361930, -47863361, -5814469, -41740876, 36464591, -33973366, -15409885, -24134472, 15891533, -12183843, -23298538, 16184057, -14319845, -15225800, 52491003, -15489770, -17375580, 6434347, 15241604, 5884165, 12021993, -32157646, -8851157, 11254269, 9926004, -45736651, 33969822, 3486856, 5031202, 13312717, -37731881, 5738400, 28723061, 11628194, 714275, -4704053, -6537788, 15819802, 11240742, -2776591, 17158726, 2543253, -24481459, 29384571, -21405801, -32376585, -18955924, -7797884, 1479356, 4336904, 25200530, -37884802, -47953658, 609558, -35312888, 48288800, -32126982, 36519832, -24536720, -3046819, 29759474, 24300809, 38877047, -4180759, 10221413, -48197762, 3992212, 38216755, -50098827, 33670875, 20586799, 43211515, -11836470, -23452807, 6009203, 26601571, -16370229, 22713778, 46972743, -18754709, -37773935, 12089976, 47850412, 24889496, -41423374, 5362554, -7167611, 28098784, 40755752, 3527116, -883003, -10279820, -12190830, -6028118, -16640164, -12551635, -17291839, -9796924, -23632872, -9805414, 5200899, -1150444, 20053489, 21105041, -35036737, -44150120, 11985992, -2904950, -10174558, -18793524, -34202615, -18076982, 17157868, -15439592, 4954133, 16473491, -3137631, -17918864, 27125965, -36146114, -8422261, -30853329, 4290917, 35351079, 2285470, -45728792, -1849277, -1845021, -32309319, 10278862, -1014932, 12547811, -20411834, 19428607, 50925957, -18319755, -24840735, 30842314, -5423789, -20300899, 4772119, 27201257, -20800916, -786106, 9315402, 34127344, -30698712, 23484279, 29952905, 36458684, -11144953, -12259825, 17003988, -386102, -73005557, -6527846, -15225635, 17475815, 4041983, -17604946, 7658790, -24686045, -10329404, -8063059, -5434085, -23838238, -11470671, -9253302, -12611474, 33784360, 10429825, -898990, -36973351, 24492414, 25853157, 21059636, -17386333, 17789771, -2018025, 124449, -44474201, 61264116, 7626625, -3224277, -6597275, 9274164, -1165894, 6145230, -33475926, 45427877, -51621029, 37459231, 6702815, 8992865, -11010380, 9036257, 34344676, 53490, 9922426, -42620553, -6360713, -5799558, -4486944, -22448319, 12380211, -7771936, 7405114, -4285223, -8088458, -3559982, 18480571, -22558252, 3700995, -55684640, 5288923, 35262268, 9667982, 11497913, 8636293, 7232213, -1393894, -37423854, -31644251, -3851980, -23878239, -11454543, 685658, 34713414, -14256806, 47990150, 9472241, -4448199, 7334062, 28566808, -7092760, -12850843, 20671700, -19174432, -17075007, 55435764, -29776710, 7067612, 3125936, -28342204, -2747162, 23820092, -220280, -5882191, 7072560, 11137064, -34401327, -1930761, -3290422, 10258235, -7000522, 61637708, 5075419, -4036209, 6308054, -33144128, -27164137, 28943753, 19376007, 41132063, 11727877, 21544345, 6612100, 13572614, 900359}; + +int output_data_imag[1024] = {0, -5173739, 8732116, -9198791, 14335177, 438680, -22709701, -17845044, 46347274, -6345647, -2448769, -3536186, -11317514, -6755869, -56193258, 20510638, 36621773, 15143807, -23048336, -38525115, -34883897, 24214333, -25231715, -12107006, 713935, -26002012, 9793100, 27093766, 4897309, -15653296, 10724876, -29977588, 4309154, 23693365, -7664895, -45459513, 23194556, -2303636, 1369664, 2909709, -27032265, 20630463, -6235213, -2795181, -11657347, -56308552, -20811426, -35038296, 17912124, -14484060, -6781618, -38557643, -19148006, 35906257, 48027176, -21283279, 40736471, -11382928, 38262486, 12787192, -23033012, -8422805, -5377539, 22253959, -30745831, -29877218, -4239294, -28422500, -3618200, 13973117, 29741342, -17022267, -1957036, 8899885, 15742866, -33238888, 10084317, 26605444, 1030161, -21185160, -34935187, -16030047, 3642533, -34366997, 1826498, 29308452, -25112834, 20471937, -1180009, 37130194, -38361361, -15382227, -28458875, -10901236, 51939635, -10001075, 8415830, 14969775, -2200086, -8987923, -33459044, -19604410, 14599232, 15030263, 3116624, -240613, 35488914, -17880023, 12116931, 970002, -1645052, 11739988, -12405219, -8531371, 6280980, 43285275, 53294091, 14438956, -30709790, 3150296, -33870140, -30033796, -28257394, 2750861, 25734336, -10970839, -11661418, 44020436, 51741722, 31593825, 1747345, -20312309, -10179497, -21226148, 9835530, -9842343, -37542741, 42470495, -11301906, 11074125, 8780329, -17607802, -3312496, 13724852, 7735047, 26992838, -9180479, 32233478, -16313096, -18433286, -30525619, 28005433, -10111916, 21313758, 16044736, 12597726, -32790484, -16457884, -22200939, -18952889, -8466738, -31433357, 16965458, -2667905, 34294230, -15693435, -38503205, -27036248, 9870059, -10850678, 34292210, -41648342, -51497130, -14892223, 37945215, 8713693, -35858488, 5589150, 9267318, 8617025, -26936877, -4618667, 28945096, -18109048, 4284503, -20954012, 18336350, 8975377, 5324160, 32515341, 8257865, -12876619, 15988251, -96265292, -4176864, 2844196, 10868795, -21900938, 5968061, 1897870, -22256630, 5224738, 60085554, -16237695, -6969494, 3596058, -53074519, -18673224, 4900205, -24041184, 14133732, 25686170, 21028590, 19631795, -59800506, 14736647, 4895114, 4574152, -16549930, -50712873, 25373350, -32709009, -44358772, 58484885, 30214820, -11849460, 28322835, 21857252, -5628499, 36482875, -45328150, -30533556, 37530144, -3175589, -8391765, 20977257, -45409365, -14941794, 26381932, -17752896, -20050130, 29577848, -24457742, -51927238, -24413730, -12321691, -45195789, 30714238, -36509740, -40891318, -536372, 38490970, 37769763, -22775001, -8782034, 50315786, 8747460, -8082453, 9112167, 25470858, -9026632, -12237932, 11922939, -37462363, 30931967, 26476785, 11104819, -2942996, 36609737, -10110669, -17494763, -32857246, -22093506, -26127426, -41073536, 12327567, -10858236, -1433333, 3051905, -41817568, -25322923, 21665127, -41081131, 9433003, -33500087, 6396874, -13125160, 14694942, 33578834, 5602343, 13130115, 11729869, -3278485, -8709757, -25016094, -18683886, 6448906, 3171432, 21909223, -13641011, 44653591, 1198608, -11304099, -2542801, 32260023, 39939458, -16829798, -9366616, 63722083, -20680408, 4166791, 8554116, -19087027, -14876678, -9029718, -16314336, -5015656, -28571608, 26241701, 23027632, -8151529, 9721116, 536487, -41407616, 25405396, -22804081, 18988939, 23502922, 14160197, 17047542, 30171442, -35782940, 18122433, 7041401, -7896995, -38654097, 6224865, 9032313, -43765857, 5509349, -32164669, 15514221, -9215526, -2280056, -33678728, -5924909, -15688654, 5877933, -21068700, 33958782, -21540809, 21514861, -23099501, 12167718, 1477466, -31225530, 30547368, 34724033, -12194598, -6927380, 28757001, 3608809, 6260154, 21036639, 26307468, 6147806, 32175079, 3022892, 4585861, 13438166, -1341850, -32018696, 20165657, 10924238, 4349653, 29344316, 11808656, -38962700, 2846524, 29271928, 14628346, -1606887, 19934345, -15553962, 20620814, -15345862, 13570431, -26033484, -17323815, 19138174, -5342012, -10847049, 6212685, 36134613, -19766821, 3420438, 14880233, -7546326, -30108011, -8147370, 5736405, -28832233, 7260622, -38196573, 7983744, 39941609, 36752501, -18229998, -12591531, -5449065, -3928810, -1198627, 21680350, 27274726, -24915723, 3674016, 10314988, -43129459, -11082589, -30512620, 35820807, -22031772, 10768143, 13007038, 532791, 10880345, -18259021, -2701802, 20569560, 4152182, -13884018, 10854482, 12409669, -16238838, 13056624, -5799578, -57146386, 33718206, 21125488, -23646294, -41201403, 6564701, 12270149, 34778357, -40546139, -8501137, 39065223, 5721295, 14034699, 39589659, -490345, -26369806, -36847561, 14754701, 40726766, -29337748, -1383770, 19937687, 15436341, -396690, -16681977, 6868965, -21414293, -6831406, 15671217, 165948, -31373984, -14083491, 31088721, -7143287, -22061171, -29467733, 56712, -20509584, -78381147, 32974224, -62195634, -17486541, -28238711, -44529567, 31706075, -44738518, -25633029, 8759873, -15345780, -12994147, -21208035, -25026091, -11433931, 15909594, -15057552, 4344815, 16416258, -19924616, -25098907, -15034316, 7031513, -9625884, -35247437, 2958647, 34044834, -47596541, 30806704, 31809436, -51382701, -109428, -30027525, -2742560, -12145827, 17664073, 7117373, -26213934, 0, 26213934, -7117373, -17664073, 12145827, 2742560, 30027525, 109428, 51382701, -31809436, -30806704, 47596541, -34044834, -2958647, 35247437, 9625884, -7031513, 15034316, 25098907, 19924616, -16416258, -4344815, 15057552, -15909594, 11433931, 25026091, 21208035, 12994147, 15345780, -8759873, 25633029, 44738518, -31706075, 44529567, 28238711, 17486541, 62195634, -32974224, 78381147, 20509584, -56712, 29467733, 22061171, 7143287, -31088721, 14083491, 31373984, -165948, -15671217, 6831406, 21414293, -6868965, 16681977, 396690, -15436341, -19937687, 1383770, 29337748, -40726766, -14754701, 36847561, 26369806, 490345, -39589659, -14034699, -5721295, -39065223, 8501137, 40546139, -34778357, -12270149, -6564701, 41201403, 23646294, -21125488, -33718206, 57146386, 5799578, -13056624, 16238838, -12409669, -10854482, 13884018, -4152182, -20569560, 2701802, 18259021, -10880345, -532791, -13007038, -10768143, 22031772, -35820807, 30512620, 11082589, 43129459, -10314988, -3674016, 24915723, -27274726, -21680350, 1198627, 3928810, 5449065, 12591531, 18229998, -36752501, -39941609, -7983744, 38196573, -7260622, 28832233, -5736405, 8147370, 30108011, 7546326, -14880233, -3420438, 19766821, -36134613, -6212685, 10847049, 5342012, -19138174, 17323815, 26033484, -13570431, 15345862, -20620814, 15553962, -19934345, 1606887, -14628346, -29271928, -2846524, 38962700, -11808656, -29344316, -4349653, -10924238, -20165657, 32018696, 1341850, -13438166, -4585861, -3022892, -32175079, -6147806, -26307468, -21036639, -6260154, -3608809, -28757001, 6927380, 12194598, -34724033, -30547368, 31225530, -1477466, -12167718, 23099501, -21514861, 21540809, -33958782, 21068700, -5877933, 15688654, 5924909, 33678728, 2280056, 9215526, -15514221, 32164669, -5509349, 43765857, -9032313, -6224865, 38654097, 7896995, -7041401, -18122433, 35782940, -30171442, -17047542, -14160197, -23502922, -18988939, 22804081, -25405396, 41407616, -536487, -9721116, 8151529, -23027632, -26241701, 28571608, 5015656, 16314336, 9029718, 14876678, 19087027, -8554116, -4166791, 20680408, -63722083, 9366616, 16829798, -39939458, -32260023, 2542801, 11304099, -1198608, -44653591, 13641011, -21909223, -3171432, -6448906, 18683886, 25016094, 8709757, 3278485, -11729869, -13130115, -5602343, -33578834, -14694942, 13125160, -6396874, 33500087, -9433003, 41081131, -21665127, 25322923, 41817568, -3051905, 1433333, 10858236, -12327567, 41073536, 26127426, 22093506, 32857246, 17494763, 10110669, -36609737, 2942996, -11104819, -26476785, -30931967, 37462363, -11922939, 12237932, 9026632, -25470858, -9112167, 8082453, -8747460, -50315786, 8782034, 22775001, -37769763, -38490970, 536372, 40891318, 36509740, -30714238, 45195789, 12321691, 24413730, 51927238, 24457742, -29577848, 20050130, 17752896, -26381932, 14941794, 45409365, -20977257, 8391765, 3175589, -37530144, 30533556, 45328150, -36482875, 5628499, -21857252, -28322835, 11849460, -30214820, -58484885, 44358772, 32709009, -25373350, 50712873, 16549930, -4574152, -4895114, -14736647, 59800506, -19631795, -21028590, -25686170, -14133732, 24041184, -4900205, 18673224, 53074519, -3596058, 6969494, 16237695, -60085554, -5224738, 22256630, -1897870, -5968061, 21900938, -10868795, -2844196, 4176864, 96265292, -15988251, 12876619, -8257865, -32515341, -5324160, -8975377, -18336350, 20954012, -4284503, 18109048, -28945096, 4618667, 26936877, -8617025, -9267318, -5589150, 35858488, -8713693, -37945215, 14892223, 51497130, 41648342, -34292210, 10850678, -9870059, 27036248, 38503205, 15693435, -34294230, 2667905, -16965458, 31433357, 8466738, 18952889, 22200939, 16457884, 32790484, -12597726, -16044736, -21313758, 10111916, -28005433, 30525619, 18433286, 16313096, -32233478, 9180479, -26992838, -7735047, -13724852, 3312496, 17607802, -8780329, -11074125, 11301906, -42470495, 37542741, 9842343, -9835530, 21226148, 10179497, 20312309, -1747345, -31593825, -51741722, -44020436, 11661418, 10970839, -25734336, -2750861, 28257394, 30033796, 33870140, -3150296, 30709790, -14438956, -53294091, -43285275, -6280980, 8531371, 12405219, -11739988, 1645052, -970002, -12116931, 17880023, -35488914, 240613, -3116624, -15030263, -14599232, 19604410, 33459044, 8987923, 2200086, -14969775, -8415830, 10001075, -51939635, 10901236, 28458875, 15382227, 38361361, -37130194, 1180009, -20471937, 25112834, -29308452, -1826498, 34366997, -3642533, 16030047, 34935187, 21185160, -1030161, -26605444, -10084317, 33238888, -15742866, -8899885, 1957036, 17022267, -29741342, -13973117, 3618200, 28422500, 4239294, 29877218, 30745831, -22253959, 5377539, 8422805, 23033012, -12787192, -38262486, 11382928, -40736471, 21283279, -48027176, -35906257, 19148006, 38557643, 6781618, 14484060, -17912124, 35038296, 20811426, 56308552, 11657347, 2795181, 6235213, -20630463, 27032265, -2909709, -1369664, 2303636, -23194556, 45459513, 7664895, -23693365, -4309154, 29977588, -10724876, 15653296, -4897309, -27093766, -9793100, 26002012, -713935, 12107006, 25231715, -24214333, 34883897, 38525115, 23048336, -15143807, -36621773, -20510638, 56193258, 6755869, 11317514, 3536186, 2448769, 6345647, -46347274, 17845044, 22709701, -438680, -14335177, 9198791, -8732116, 5173739}; + +int tf_real[1024] = {1048576, 1048556, 1048497, 1048398, 1048260, 1048082, 1047865, 1047608, 1047312, 1046977, 1046602, 1046188, 1045734, 1045241, 1044709, 1044137, 1043526, 1042876, 1042186, 1041458, 1040690, 1039883, 1039036, 1038151, 1037226, 1036263, 1035260, 1034218, 1033138, 1032019, 1030860, 1029663, 1028427, 1027153, 1025840, 1024488, 1023097, 1021668, 1020201, 1018695, 1017151, 1015569, 1013948, 1012289, 1010592, 1008857, 1007084, 1005273, 1003424, 1001538, 999613, 997651, 995652, 993615, 991541, 989429, 987280, 985094, 982871, 980610, 978313, 975979, 973609, 971201, 968757, 966277, 963760, 961207, 958618, 955993, 953331, 950634, 947901, 945132, 942328, 939488, 936613, 933703, 930757, 927777, 924761, 921711, 918626, 915506, 912352, 909163, 905941, 902684, 899393, 896068, 892710, 889318, 885893, 882434, 878942, 875417, 871859, 868268, 864644, 860988, 857299, 853578, 849825, 846040, 842224, 838375, 834495, 830583, 826641, 822667, 818662, 814626, 810560, 806463, 802336, 798178, 793991, 789773, 785526, 781249, 776943, 772608, 768243, 763850, 759428, 754977, 750498, 745990, 741455, 736891, 732300, 727681, 723035, 718362, 713661, 708934, 704180, 699400, 694593, 689760, 684901, 680016, 675106, 670170, 665209, 660223, 655212, 650177, 645117, 640032, 634924, 629792, 624635, 619456, 614253, 609027, 603778, 598506, 593212, 587896, 582557, 577197, 571814, 566410, 560985, 555539, 550072, 544584, 539075, 533547, 527998, 522429, 516841, 511233, 505606, 499960, 494295, 488611, 482909, 477189, 471451, 465695, 459922, 454131, 448324, 442499, 436658, 430800, 424926, 419036, 413130, 407209, 401272, 395320, 389354, 383373, 377377, 371367, 365343, 359305, 353254, 347190, 341112, 335022, 328919, 322803, 316676, 310536, 304385, 298222, 292049, 285864, 279668, 273462, 267246, 261019, 254783, 248537, 242281, 236017, 229744, 223462, 217172, 210873, 204567, 198252, 191931, 185602, 179266, 172923, 166574, 160219, 153858, 147490, 141118, 134740, 128356, 121968, 115576, 109179, 102778, 96373, 89965, 83553, 77138, 70720, 64299, 57876, 51451, 45024, 38595, 32164, 25733, 19300, 12867, 6433, 0, -6433, -12867, -19300, -25733, -32164, -38595, -45024, -51451, -57876, -64299, -70720, -77138, -83553, -89965, -96373, -102778, -109179, -115576, -121968, -128356, -134740, -141118, -147490, -153858, -160219, -166574, -172923, -179266, -185602, -191931, -198252, -204567, -210873, -217172, -223462, -229744, -236017, -242281, -248537, -254783, -261019, -267246, -273462, -279668, -285864, -292049, -298222, -304385, -310536, -316676, -322803, -328919, -335022, -341112, -347190, -353254, -359305, -365343, -371367, -377377, -383373, -389354, -395320, -401272, -407209, -413130, -419036, -424926, -430800, -436658, -442499, -448324, -454131, -459922, -465695, -471451, -477189, -482909, -488611, -494295, -499960, -505606, -511233, -516841, -522429, -527998, -533547, -539075, -544584, -550072, -555539, -560985, -566410, -571814, -577197, -582557, -587896, -593212, -598506, -603778, -609027, -614253, -619456, -624635, -629792, -634924, -640032, -645117, -650177, -655212, -660223, -665209, -670170, -675106, -680016, -684901, -689760, -694593, -699400, -704180, -708934, -713661, -718362, -723035, -727681, -732300, -736891, -741455, -745990, -750498, -754977, -759428, -763850, -768243, -772608, -776943, -781249, -785526, -789773, -793991, -798178, -802336, -806463, -810560, -814626, -818662, -822667, -826641, -830583, -834495, -838375, -842224, -846040, -849825, -853578, -857299, -860988, -864644, -868268, -871859, -875417, -878942, -882434, -885893, -889318, -892710, -896068, -899393, -902684, -905941, -909163, -912352, -915506, -918626, -921711, -924761, -927777, -930757, -933703, -936613, -939488, -942328, -945132, -947901, -950634, -953331, -955993, -958618, -961207, -963760, -966277, -968757, -971201, -973609, -975979, -978313, -980610, -982871, -985094, -987280, -989429, -991541, -993615, -995652, -997651, -999613, -1001538, -1003424, -1005273, -1007084, -1008857, -1010592, -1012289, -1013948, -1015569, -1017151, -1018695, -1020201, -1021668, -1023097, -1024488, -1025840, -1027153, -1028427, -1029663, -1030860, -1032019, -1033138, -1034218, -1035260, -1036263, -1037226, -1038151, -1039036, -1039883, -1040690, -1041458, -1042186, -1042876, -1043526, -1044137, -1044709, -1045241, -1045734, -1046188, -1046602, -1046977, -1047312, -1047608, -1047865, -1048082, -1048260, -1048398, -1048497, -1048556, -1048576, -1048556, -1048497, -1048398, -1048260, -1048082, -1047865, -1047608, -1047312, -1046977, -1046602, -1046188, -1045734, -1045241, -1044709, -1044137, -1043526, -1042876, -1042186, -1041458, -1040690, -1039883, -1039036, -1038151, -1037226, -1036263, -1035260, -1034218, -1033138, -1032019, -1030860, -1029663, -1028427, -1027153, -1025840, -1024488, -1023097, -1021668, -1020201, -1018695, -1017151, -1015569, -1013948, -1012289, -1010592, -1008857, -1007084, -1005273, -1003424, -1001538, -999613, -997651, -995652, -993615, -991541, -989429, -987280, -985094, -982871, -980610, -978313, -975979, -973609, -971201, -968757, -966277, -963760, -961207, -958618, -955993, -953331, -950634, -947901, -945132, -942328, -939488, -936613, -933703, -930757, -927777, -924761, -921711, -918626, -915506, -912352, -909163, -905941, -902684, -899393, -896068, -892710, -889318, -885893, -882434, -878942, -875417, -871859, -868268, -864644, -860988, -857299, -853578, -849825, -846040, -842224, -838375, -834495, -830583, -826641, -822667, -818662, -814626, -810560, -806463, -802336, -798178, -793991, -789773, -785526, -781249, -776943, -772608, -768243, -763850, -759428, -754977, -750498, -745990, -741455, -736891, -732300, -727681, -723035, -718362, -713661, -708934, -704180, -699400, -694593, -689760, -684901, -680016, -675106, -670170, -665209, -660223, -655212, -650177, -645117, -640032, -634924, -629792, -624635, -619456, -614253, -609027, -603778, -598506, -593212, -587896, -582557, -577197, -571814, -566410, -560985, -555539, -550072, -544584, -539075, -533547, -527998, -522429, -516841, -511233, -505606, -499960, -494295, -488611, -482909, -477189, -471451, -465695, -459922, -454131, -448324, -442499, -436658, -430800, -424926, -419036, -413130, -407209, -401272, -395320, -389354, -383373, -377377, -371367, -365343, -359305, -353254, -347190, -341112, -335022, -328919, -322803, -316676, -310536, -304385, -298222, -292049, -285864, -279668, -273462, -267246, -261019, -254783, -248537, -242281, -236017, -229744, -223462, -217172, -210873, -204567, -198252, -191931, -185602, -179266, -172923, -166574, -160219, -153858, -147490, -141118, -134740, -128356, -121968, -115576, -109179, -102778, -96373, -89965, -83553, -77138, -70720, -64299, -57876, -51451, -45024, -38595, -32164, -25733, -19300, -12867, -6433, 0, 6433, 12867, 19300, 25733, 32164, 38595, 45024, 51451, 57876, 64299, 70720, 77138, 83553, 89965, 96373, 102778, 109179, 115576, 121968, 128356, 134740, 141118, 147490, 153858, 160219, 166574, 172923, 179266, 185602, 191931, 198252, 204567, 210873, 217172, 223462, 229744, 236017, 242281, 248537, 254783, 261019, 267246, 273462, 279668, 285864, 292049, 298222, 304385, 310536, 316676, 322803, 328919, 335022, 341112, 347190, 353254, 359305, 365343, 371367, 377377, 383373, 389354, 395320, 401272, 407209, 413130, 419036, 424926, 430800, 436658, 442499, 448324, 454131, 459922, 465695, 471451, 477189, 482909, 488611, 494295, 499960, 505606, 511233, 516841, 522429, 527998, 533547, 539075, 544584, 550072, 555539, 560985, 566410, 571814, 577197, 582557, 587896, 593212, 598506, 603778, 609027, 614253, 619456, 624635, 629792, 634924, 640032, 645117, 650177, 655212, 660223, 665209, 670170, 675106, 680016, 684901, 689760, 694593, 699400, 704180, 708934, 713661, 718362, 723035, 727681, 732300, 736891, 741455, 745990, 750498, 754977, 759428, 763850, 768243, 772608, 776943, 781249, 785526, 789773, 793991, 798178, 802336, 806463, 810560, 814626, 818662, 822667, 826641, 830583, 834495, 838375, 842224, 846040, 849825, 853578, 857299, 860988, 864644, 868268, 871859, 875417, 878942, 882434, 885893, 889318, 892710, 896068, 899393, 902684, 905941, 909163, 912352, 915506, 918626, 921711, 924761, 927777, 930757, 933703, 936613, 939488, 942328, 945132, 947901, 950634, 953331, 955993, 958618, 961207, 963760, 966277, 968757, 971201, 973609, 975979, 978313, 980610, 982871, 985094, 987280, 989429, 991541, 993615, 995652, 997651, 999613, 1001538, 1003424, 1005273, 1007084, 1008857, 1010592, 1012289, 1013948, 1015569, 1017151, 1018695, 1020201, 1021668, 1023097, 1024488, 1025840, 1027153, 1028427, 1029663, 1030860, 1032019, 1033138, 1034218, 1035260, 1036263, 1037226, 1038151, 1039036, 1039883, 1040690, 1041458, 1042186, 1042876, 1043526, 1044137, 1044709, 1045241, 1045734, 1046188, 1046602, 1046977, 1047312, 1047608, 1047865, 1048082, 1048260, 1048398, 1048497, 1048556}; + +int tf_imag[1024] = {0, -6433, 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b/benchmarks/vec-fft/vec-fft_main.c @@ -0,0 +1,300 @@ +// ************************************************************************* +// multiply filter bencmark +// ------------------------------------------------------------------------- +// +// This benchmark tests the software multiply implemenation. The +// input data (and reference data) should be generated using the +// multiply_gendata.pl perl script and dumped to a file named +// dataset1.h You should not change anything except the +// HOST_DEBUG and VERIFY macros for your timing run. + +#include "vec-fft.h" + +//-------------------------------------------------------------------------- +// Macros + +// Set HOST_DEBUG to 1 if you are going to compile this for a host +// machine (ie Athena/Linux) for debug purposes and set HOST_DEBUG +// to 0 if you are compiling with the smips-gcc toolchain. + +#ifndef HOST_DEBUG +#define HOST_DEBUG 0 +#endif + +// Set PREALLOCATE to 1 if you want to preallocate the benchmark +// function before starting stats. If you have instruction/data +// caches and you don't want to count the overhead of misses, then +// you will need to use preallocation. + +#ifndef PREALLOCATE +#define PREALLOCATE 0 +#endif + +// Set VERIFY to 1 if you want the program to check that the sort +// function returns the right answer. When you are doing your +// benchmarking you should set this to 0 so that the verification +// is not included in your timing. + +#ifndef VERIFY +#define VERIFY 1 +#endif + +// Set SET_STATS to 1 if you want to carve out the piece that actually +// does the computation. + +#ifndef SET_STATS +#define SET_STATS 0 +#endif + +// Set MINIMAL to 1 if you want to run the core FFT kernel without +// any instrumentation or warm-up. +#ifndef MINIMAL +#define MINIMAL 1 +#endif + +//-------------------------------------------------------------------------- +// Platform Specific Includes + +#if HOST_DEBUG + #include <stdio.h> + #include <stdlib.h> +#else +void printstr(const char*); +void exit(); +#endif + + +//-------------------------------------------------------------------------- +// Input/Reference Data + +#include "fft_const.h" + +//-------------------------------------------------------------------------- +// Helper functions + +#if !MINIMAL + +void setup_input(int n, fftval_t in_real[], fftval_t in_imag[]) +{ + int i; + for(i=0; i < n; i++) { + in_real[i] = input_data_real[i]; + in_imag[i] = input_data_imag[i]; + } +} +void setup_warm_tf(int n, fftval_t in_real[], fftval_t in_imag[]) +{ + int i; + for(i=0; i < n; i++) { + in_real[i] = tf_real[i]; + in_imag[i] = tf_imag[i]; + } +} + +fftval_t calculate_error( int n, const fftval_t test_real[], const fftval_t test_imag[]) +{ + fftval_t current_max = 0; + printf("idx, real expected, real observed, imag expected, imag observed %d\n", 0); + +#if defined(FFT_FIXED) + for(int i = 0; i < n; i++) + { + const double scale = 1 << FIX_PT; + const double real_diff = (test_real[i] - output_data_real[i])/scale; + const double imag_diff = (test_imag[i] - output_data_imag[i])/scale; + + const double i_sq_error = real_diff*real_diff + imag_diff*imag_diff; + if(i_sq_error > current_max) { + printf("i = %d, current error: %d\n", i, (long)current_max); + current_max = i_sq_error; + } + } +#elif defined(FFT_FLOATING) + fftval_t real_expect = 0.0; + fftval_t imag_expect = 0.0; + for(int i = 0; i < n; i++) + { + /* TODO: Fix error caculation for half precision */ + const fftval_t real_diff = (test_real[i] - output_data_real[i]); + const fftval_t imag_diff = (test_imag[i] - output_data_imag[i]); + fftval_t i_sq_error = real_diff*real_diff + imag_diff*imag_diff; + +#if 0 + long tr = (long)(test_real[i] * 1000000000); + long ti = (long)(test_imag[i] * 1000000000); + long er = (long)(output_data_real[i] * 1000000000); + long ei = (long)(output_data_imag[i] * 1000000000); + + printf("i = %d, expected (%d,%d) and got (%d,%d), diff (%d,%d)\n", + i, + er, ei, + tr, ti, + er-tr, ei-ti); +#endif + +#if 1 + fftbit_t tr, ti, er, ei; +#ifdef FP_HALF + tr = test_real[i]; + ti = test_imag[i]; + er = output_data_real[i]; + ei = output_data_imag[i]; +#else + union bits { + fftval_t v; + fftbit_t u; + } bits; + bits.v = test_real[i]; tr = bits.u; + bits.v = test_imag[i]; ti = bits.u; + bits.v = output_data_real[i]; er = bits.u; + bits.v = output_data_imag[i]; ei = bits.u; +#endif + printf("%d: %d %d %d %d\n", i, er, tr, ei, ti); + // printf("%4d\t" FFT_PRI "\t" FFT_PRI "\t" FFT_PRI "\t" FFT_PRI "\n", + // i, er, tr, ei, ti); +#endif + +#if 0 + if(i_sq_error > current_max) { + printf("i = %d, max error (ppb): %ld\n", i, (long)(current_max * 1000000000)); + current_max = i_sq_error; + real_expect = output_data_real[i]; + imag_expect = output_data_imag[i]; + } +#endif + } +/* + printf("real expected: %d\n", (long)(real_expect)); + printf("imag expected: %d\n", (long)(imag_expect)); +*/ +#endif + + return current_max; +} + +void finishTest( double max_sq_error, long long num_cycles, long long num_retired) +{ + int passed = max_sq_error < 10e-8; + + if( passed ) printstr("*** PASSED ***"); + else printstr("*** FAILED ***"); + + printf(" (num_cycles = %ld, num_inst_retired = %ld)\n", num_cycles, num_retired); + + passed = passed ? 1 : 2; // if it passed, return 1 + + exit(); +} + +void setStats( int enable ) +{ +#if ( !HOST_DEBUG && SET_STATS ) + //asm( "mtpcr %0, cr10" : : "r" (enable) ); +#endif +} + +long long getCycles() +{ + long long cycles = 1337; +#if ( !HOST_DEBUG && SET_STATS ) + __asm__ __volatile__( "rdcycle %0" : "=r" (cycles) ); +#endif + return cycles; +} + +long long getInstRetired() +{ + long long inst_retired = 1338; +#if ( !HOST_DEBUG && SET_STATS ) + __asm__ __volatile__( "rdinstret %0" : "=r" (inst_retired) ); +#endif + return inst_retired; +} + +#endif /* !MINIMAL */ + +//-------------------------------------------------------------------------- +// Main +#define HWACHA_RADIX 2 + +#ifdef DATA_IN_UNPERMUTED +void permute(fftval_t workspace_real[], fftval_t workspace_imag[]) +{ + const int logradix = log2down(HWACHA_RADIX); + const int term_mask = HWACHA_RADIX-1; + const int num_term = log2down(FFT_SIZE)/logradix; + for(int i = 0; i < FFT_SIZE; i++) + { + // Get permuted address + int i_left = i; + int permuted = 0; + for(int cur_fft_size=HWACHA_RADIX; cur_fft_size <= FFT_SIZE; cur_fft_size = cur_fft_size << logradix) + { + permuted = (permuted << logradix) | (i_left & term_mask); + i_left = i_left >> logradix; + } + // If addresses are different and i < permuted (so we only do permutation once) + if(i < permuted) + { + fftval_t t = workspace_real[i]; + fftval_t u = workspace_imag[i]; + workspace_real[i] = workspace_real[permuted]; + workspace_imag[i] = workspace_imag[permuted]; + workspace_real[permuted] = t; + workspace_imag[permuted] = u; + } + } +} +#endif /* DATA_IN_UNPERMUTED */ + +#if MINIMAL + +int main(void) +{ +#ifdef DATA_IN_UNPERMUTED + permute(input_data_real, input_data_imag); +#endif + fft(input_data_real, input_data_imag, tf_real, tf_imag); +// calculate_error(FFT_SIZE, input_data_real, input_data_imag); + exit(); +} + +#else /* !MINIMAL */ + +int main(void) +{ + static fftval_t workspace_real[FFT_SIZE]; + static fftval_t workspace_imag[FFT_SIZE]; + static fftval_t warm_tf_real[FFT_SIZE]; + static fftval_t warm_tf_imag[FFT_SIZE]; + setup_input(FFT_SIZE, workspace_real, workspace_imag); + setup_warm_tf(FFT_SIZE, warm_tf_real, warm_tf_imag); + +#if PREALLOCATE + fft(workspace_real, workspace_imag, warm_tf_real, warm_tf_imag); + setup_input(FFT_SIZE, workspace_real, workspace_imag); +#endif + + long long start_cycles, start_retired, stop_cycles, stop_retired; + start_cycles = getCycles(); + start_retired = getInstRetired(); + +#ifdef DATA_IN_UNPERMUTED + permute(workspace_real, workspace_imag); +#endif + setStats(1); + fft(workspace_real, workspace_imag, warm_tf_real, warm_tf_imag); + setStats(0); + + stop_cycles = getCycles(); + stop_retired = getInstRetired(); + long long num_cycles = stop_cycles - start_cycles; + long long num_retired = stop_retired - start_retired; + + const double max_sq_error = calculate_error(FFT_SIZE, workspace_real, workspace_imag); + + // Check the results + finishTest(max_sq_error, num_cycles, num_retired); +} + +#endif /* MINIMAL */ diff --git a/benchmarks/vec-fft/vec-vfft.S b/benchmarks/vec-fft/vec-vfft.S new file mode 100644 index 0000000..1e6b992 --- /dev/null +++ b/benchmarks/vec-fft/vec-vfft.S @@ -0,0 +1,243 @@ + .text + .align 2 + +#include "fft_const.h" + +#if defined(FFT_FIXED) + #define PTR_SHIFT 2 + #define PTR_SIZE 4 + + #define DATA_LOAD lw + #define DATA_STORE sw + + #define FFT_MUL mul + #define FFT_ADD add + #define FFT_SUB sub + + #define REG0 x3 + #define REG1 x4 + #define REG2 x5 + #define REG3 x6 + #define REG4 x7 + #define REG5 x8 +#elif defined(FFT_FLOATING) + #if defined(FP_HALF) + #define PTR_SHIFT 1 + #define PTR_SIZE 2 + + #define DATA_LOAD flh + #define DATA_STORE fsh + + #define FFT_MUL fmul.h + #define FFT_ADD fadd.h + #define FFT_SUB fsub.h + #elif defined(FP_SINGLE) + #define PTR_SHIFT 2 + #define PTR_SIZE 4 + + #define DATA_LOAD flw + #define DATA_STORE fsw + + #define FFT_MUL fmul.s + #define FFT_ADD fadd.s + #define FFT_SUB fsub.s + #elif defined(FP_DOUBLE) + #define PTR_SHIFT 3 + #define PTR_SIZE 8 + + #define DATA_LOAD fld + #define DATA_STORE fsd + + #define FFT_MUL fmul.d + #define FFT_ADD fadd.d + #define FFT_SUB fsub.d + #endif + + #define REG0 f0 + #define REG1 f1 + #define REG2 f2 + #define REG3 f3 + #define REG4 f4 + #define REG5 f5 +#else + #error FFT_FIXED or FFT_FLOATING not defined +#endif + + .globl vf_test +vf_test: + utidx x2 + add x1, x1, x2 + add x1, x1, x1 + stop + + .globl vf_fft_init +vf_fft_init: +# IN: +# x1: lane start (utidx=0 actually has this pos due to stripmining) +# x2: bit mask to select FFT block from op idx +# x3: bit mask to select operand in FFT block from op idx +# x4: necessary shift to adjust TF appropriately ( REMOVED ) +# x5: half the current FFT size (add to get the second op) +# OUT: +# x1: Has the first operand pos = (opid & i_x2) << 1 + (opid & i_x3) +# x2: Has the second operand pos = o_x1 + i_x5 +# x3: Has the twiddle factor pos = (opid & i_x3) << i_x4 + utidx x6 + add x6, x1, x6 # x6 <= opid + and x2, x2, x6 # x2 <= opid & i_x2 + and x3, x3, x6 # x3 <= opid & i_x3 + slli x2, x2, 1 # x2 <= (opid & i_x2) << 1 + + add x1, x2, x3 # x1 is now the proper result + add x2, x1, x5 # x2 is now the proper result + sll x3, x3, x4 + + stop + + .globl vf_fft_scale +vf_fft_scale: +# IN: +# x1: Has the first operand pos (reused) +# x2: Has the second operand pos (reused) +# x3: Has the twiddle factor pos (reused) +# x4: Has the tf real ptr +# x5: Has the tf imag ptr +# x6: Has the workspace real ptr +# x7: Has the workspace imag ptr +# x8: Has the fixed point shift ( REMOVED ) +# OUT: +# x1: Has the first operand offset = i_x1 << 3 +# x2: Has the second operand offset = i_x2 << 3 +# x3: Has the scale factor real +# x4: Has the scale factor imag + # Convert positions into actual memory offsets from table start + slli x1, x1, PTR_SHIFT # x1 <= i_x1 << 3 (proper result) + slli x2, x2, PTR_SHIFT # x2 <= i_x2 << 3 (proper result) + slli x3, x3, PTR_SHIFT # x3 <= i_x3 << 3 (tf offset) + + # Compute memory locations + add x4, x4, x3 # x4 <= load address for tf real + add x5, x5, x3 # x5 <= load address for tf imag + add x6, x6, x2 # x6 <= load address for op2 real + add x7, x7, x2 # x7 <= load address for op2 imag + + # Actually read memory + DATA_LOAD REG1, 0(x4) # tf real (a) + DATA_LOAD REG2, 0(x5) # tf imag (bi) + DATA_LOAD REG3, 0(x6) # op2 real (c) + DATA_LOAD REG4, 0(x7) # op2 imag (di) + + # Do the math using 3 multiplies + FFT_ADD REG0, REG1, REG2 # REG0 <= a + b + FFT_SUB REG2, REG2, REG1 # REG2 <= b - a + FFT_MUL REG0, REG0, REG4 # REG0 <= (a+b)d +#ifdef FFT_FIXED + sra REG0, REG0, REG5 # DO NOT SHIFT FOR FLOATING +#endif + FFT_MUL REG2, REG2, REG3 # REG2 <= (b-a)c +#ifdef FFT_FIXED + sra REG2, REG2, REG5 # DO NOT SHIFT FOR FLOATING +#endif + FFT_ADD REG3, REG3, REG4 # REG3 <= c + d + FFT_MUL REG4, REG1, REG3 # REG4 <= a(c+d) +#ifdef FFT_FIXED + sra REG4, REG4, REG5 # DO NOT SHIFT FOR FLOATING +#endif + + # Prepare final result + FFT_SUB REG0, REG4, REG0 # REG0 <= a(c+d) - (a+b)d (scale real) + FFT_ADD REG1, REG4, REG2 # REG1 <= a(c+d) + (b-a)c (scale imag) + + stop +/* + # Four multiply version + # Do the multiplications (a+bi)(c+di) needs ac ad bc bd + mul x3, x4, x6 # x3 <= ac + mul x4, x4, x7 # x4 <= adi + mul x6, x5, x6 # x6 <= bc + mul x5, x5, x7 # x5 <= bdi + sra x3, x3, x8 # These 4 shifts make sure the fixed pt properly aligned + sra x4, x4, x8 + sra x5, x5, x8 + sra x6, x6, x8 + + # Do the additions (ac - bd) and (bc + ad) + sub x3, x3, x5 # x3 <= ac - bd (proper result) + add x4, x4, x6 # x4 <= bc + ad (proper result) +*/ + + .globl vf_fft_exec +vf_fft_exec: +# IN: +# x1: Has the first operand offset (reused) +# x2: Has the second operand offset (reused) +# x3: Has the scale factor real (reused) +# x4: Has the scale factor imag (reused) +# x5: Has the workspace real ptr +# x6: Has the workspace imag ptr +# OUT: +# x1: Has the first operand offset (carry) +# x2: Has the second operand offset (carry) +# x5: Has the first result real +# x6: Has the first result imag +# x7: Has the second result real +# x8: Has the second result imag + # Compute first operand memory locations + add x5, x5, x1 # x5 <= load address for op1 real + add x6, x6, x1 # x6 <= load address for op1 imag + + #actually read memory + DATA_LOAD REG2, 0(x5) # op1 real + DATA_LOAD REG3, 0(x6) # op1 imag + + # Do the add/subs (res1=op1+scale), (res2=op1-scale) + FFT_SUB REG4, REG2, REG0 # res2 real + FFT_SUB REG5, REG3, REG1 # res2 imag + FFT_ADD REG2, REG2, REG0 # res1 real + FFT_ADD REG3, REG3, REG1 # res1 imag + + stop + + .globl vf_fft_store1 +vf_fft_store1: +# IN: +# x1: Has the first operand offset (reused) +# x2: Has the second operand offset (reused) +# x3: Has the workspace real ptr +# x4: Has the workspace imag ptr +# x5: Has the first result real (reused) +# x6: Has the first result imag (reused) +# x7: Has the second result real (reused) +# x8: Has the second result imag (reused) +# OUT: +# x2: Has the second operand offset (carry) +# x7: Has the second result real (carry) +# x8: Has the second result imag (carry) + # Compute first result memory locations + add x3, x3, x1 + add x4, x4, x1 + + # actually write memory + DATA_STORE REG2, 0(x3) + DATA_STORE REG3, 0(x4) + + stop + + .globl vf_fft_store2 +vf_fft_store2: +# IN: +# x2: Has the second operand offset +# x3: Has the workspace real ptr +# x4: Has the workspace imag ptr +# x7: Has the second result real +# x8: Has the second result imag +# OUT: (none) + # Compute second result memory locations + add x3, x3, x2 + add x4, x4, x2 + + # actually write memory + DATA_STORE REG4, 0(x3) + DATA_STORE REG5, 0(x4) + + stop |