src/gromacs/simd/tests/simd4_floatingpoint.cpp

   1 /*
   2  * This file is part of the GROMACS molecular simulation package.
   3  *
   4  * Copyright (c) 2014, by the GROMACS development team, led by
   5  * Mark Abraham, David van der Spoel, Berk Hess, and Erik Lindahl,
   6  * and including many others, as listed in the AUTHORS file in the
   7  * top-level source directory and at http://www.gromacs.org.
   8  *
   9  * GROMACS is free software; you can redistribute it and/or
  10  * modify it under the terms of the GNU Lesser General Public License
  11  * as published by the Free Software Foundation; either version 2.1
  12  * of the License, or (at your option) any later version.
  13  *
  14  * GROMACS is distributed in the hope that it will be useful,
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  17  * Lesser General Public License for more details.
  18  *
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  34  */
  35 #include "gmxpre.h"
  36
  37 #include <math.h>
  38
  39 #include "gromacs/math/utilities.h"
  40
  41 #include "simd4.h"
  42
  43 namespace gmx
  44 {
  45 namespace test
  46 {
  47 namespace
  48 {
  49
  50 /*! \cond internal */
  51 /*! \addtogroup module_simd */
  52 /*! \{ */
  53
  54 #ifdef GMX_SIMD4_HAVE_REAL
  55
  56 /*! \brief Test fixture for SIMD4 floating-point operations (identical to the SIMD4 \ref Simd4Test) */
  57 typedef Simd4Test Simd4FloatingpointTest;
  58
  59 TEST_F(Simd4FloatingpointTest, gmxSimd4SetZeroR)
  60 {
  61     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(0.0), gmx_simd4_setzero_r());
  62 }
  63
  64 TEST_F(Simd4FloatingpointTest, gmxSimd4Set1R)
  65 {
  66     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(1.0), gmx_simd4_set1_r(1.0));
  67 }
  68
  69 TEST_F(Simd4FloatingpointTest, gmxSimd4Load1R)
  70 {
  71     real r = 2.0;
  72     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(r), gmx_simd4_load1_r(&r));
  73 }
  74
  75 TEST_F(Simd4FloatingpointTest, gmxSimd4AddR)
  76 {
  77     GMX_EXPECT_SIMD4_REAL_EQ(rSimd4_5_7_9, gmx_simd4_add_r(rSimd4_1_2_3, rSimd4_4_5_6)); // 1+4=5, 2+5=7, 3+6=9
  78 }
  79
  80 TEST_F(Simd4FloatingpointTest, gmxSimd4SubR)
  81 {
  82     GMX_EXPECT_SIMD4_REAL_EQ(rSimd4_4_5_6, gmx_simd4_sub_r(rSimd4_5_7_9, rSimd4_1_2_3)); // 5-1=4, 7-2=5, 9-3=6
  83 }
  84
  85 TEST_F(Simd4FloatingpointTest, gmxSimd4MulR)
  86 {
  87     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(4, 10, 18), gmx_simd4_mul_r(rSimd4_1_2_3, rSimd4_4_5_6));
  88 }
  89
  90 TEST_F(Simd4FloatingpointTest, gmxSimd4FmaddR)
  91 {
  92     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(11, 18, 27), gmx_simd4_fmadd_r(rSimd4_1_2_3, rSimd4_4_5_6, rSimd4_7_8_9)); // 1*4+7, etc.
  93 }
  94
  95 TEST_F(Simd4FloatingpointTest, gmxSimd4FmsubR)
  96 {
  97     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(-3, 2, 9), gmx_simd4_fmsub_r(rSimd4_1_2_3, rSimd4_4_5_6, rSimd4_7_8_9)); // 1*4-7, etc.
  98 }
  99
 100 TEST_F(Simd4FloatingpointTest, gmxSimd4FnmaddR)
 101 {
 102     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(3, -2, -9), gmx_simd4_fnmadd_r(rSimd4_1_2_3, rSimd4_4_5_6, rSimd4_7_8_9)); // -1*4+7, etc.
 103 }
 104
 105 TEST_F(Simd4FloatingpointTest, gmxSimd4FnmsubR)
 106 {
 107     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(-11, -18, -27), gmx_simd4_fnmsub_r(rSimd4_1_2_3, rSimd4_4_5_6, rSimd4_7_8_9)); // -1*4-7, etc.
 108 }
 109
 110 TEST_F(Simd4FloatingpointTest, gmxSimd4FabsR)
 111 {
 112     GMX_EXPECT_SIMD4_REAL_EQ(rSimd4_1_2_3, gmx_simd4_fabs_r(rSimd4_1_2_3));    // fabs(x)=x
 113     GMX_EXPECT_SIMD4_REAL_EQ(rSimd4_1_2_3, gmx_simd4_fabs_r(rSimd4_m1_m2_m3)); // fabs(-x)=x
 114 }
 115
 116 TEST_F(Simd4FloatingpointTest, gmxSimd4FnegR)
 117 {
 118     GMX_EXPECT_SIMD4_REAL_EQ(rSimd4_m1_m2_m3, gmx_simd4_fneg_r(rSimd4_1_2_3));   // fneg(x)=-x
 119     GMX_EXPECT_SIMD4_REAL_EQ(rSimd4_1_2_3,   gmx_simd4_fneg_r(rSimd4_m1_m2_m3)); // fneg(-x)=x
 120 }
 121
 122 #ifdef GMX_SIMD4_HAVE_LOGICAL
 123 /* 1.3333282470703125 has mantissa 0101010101010101 (followed by zeros)
 124  * 1.79998779296875   has mantissa 1100110011001100 (followed by zeros)
 125  * 1.26666259765625   has mantissa 0100010001000100 (followed by zeros)
 126  * 1.8666534423828125 has mantissa 1101110111011101 (followed by zeros)
 127  *
 128  * Since all of them have the same exponent (2^0), the exponent will
 129  * not change with AND or OR operations.
 130  */
 131 TEST_F(Simd4FloatingpointTest, gmxSimd4AndR)
 132 {
 133     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(1.26666259765625),
 134                              gmx_simd4_and_r(gmx_simd4_set1_r(1.3333282470703125),
 135                                              gmx_simd4_set1_r(1.79998779296875)));
 136 }
 137
 138 TEST_F(Simd4FloatingpointTest, gmxSimd4OrR)
 139 {
 140     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(1.8666534423828125),
 141                              gmx_simd4_or_r(gmx_simd4_set1_r(1.3333282470703125),
 142                                             gmx_simd4_set1_r(1.79998779296875)));
 143 }
 144
 145 TEST_F(Simd4FloatingpointTest, gmxSimd4XorR)
 146 {
 147     /* Test xor by taking xor with a number and its negative. This should result
 148      * in only the sign bit being set. We then use this bit change the sign of
 149      * different numbers.
 150      */
 151     gmx_simd4_real_t signbit = gmx_simd4_xor_r(gmx_simd4_set1_r(1.5), gmx_simd4_set1_r(-1.5));
 152     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(-1, 2, -3), gmx_simd4_xor_r(signbit, setSimd4RealFrom3R(1, -2, 3)));
 153 }
 154
 155 TEST_F(Simd4FloatingpointTest, gmxSimd4AndnotR)
 156 {
 157     /* Use xor (which we already tested, so fix that first if both tests fail)
 158      * to extract the sign bit, and then use andnot to take absolute values.
 159      */
 160     gmx_simd4_real_t signbit = gmx_simd4_xor_r(gmx_simd4_set1_r(1.5), gmx_simd4_set1_r(-1.5));
 161     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(1, 2, 3), gmx_simd4_andnot_r(signbit, setSimd4RealFrom3R(-1, 2, -3)));
 162 }
 163
 164 #endif
 165
 166 TEST_F(Simd4FloatingpointTest, gmxSimd4MaxR)
 167 {
 168     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(3, 2, 4), gmx_simd4_max_r(rSimd4_1_2_3, rSimd4_3_1_4));
 169     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(3, 2, 4), gmx_simd4_max_r(rSimd4_3_1_4, rSimd4_1_2_3));
 170     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(-1, -1, -3), gmx_simd4_max_r(rSimd4_m1_m2_m3, rSimd4_m3_m1_m4));
 171     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(-1, -1, -3), gmx_simd4_max_r(rSimd4_m3_m1_m4, rSimd4_m1_m2_m3));
 172 }
 173
 174 TEST_F(Simd4FloatingpointTest, gmxSimd4MinR)
 175 {
 176     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(1, 1, 3), gmx_simd4_min_r(rSimd4_1_2_3, rSimd4_3_1_4));
 177     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(1, 1, 3), gmx_simd4_min_r(rSimd4_3_1_4, rSimd4_1_2_3));
 178     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(-3, -2, -4), gmx_simd4_min_r(rSimd4_m1_m2_m3, rSimd4_m3_m1_m4));
 179     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(-3, -2, -4), gmx_simd4_min_r(rSimd4_m3_m1_m4, rSimd4_m1_m2_m3));
 180 }
 181
 182 TEST_F(Simd4FloatingpointTest, gmxSimd4RoundR)
 183 {
 184     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(2), gmx_simd4_round_r(gmx_simd4_set1_r(2.25)));
 185     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(4), gmx_simd4_round_r(gmx_simd4_set1_r(3.75)));
 186     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(-2), gmx_simd4_round_r(gmx_simd4_set1_r(-2.25)));
 187     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(-4), gmx_simd4_round_r(gmx_simd4_set1_r(-3.75)));
 188 }
 189
 190 TEST_F(Simd4FloatingpointTest, gmxSimd4TruncR)
 191 {
 192     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(2), gmx_simd4_trunc_r(rSimd4_2p25));
 193     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(3), gmx_simd4_trunc_r(rSimd4_3p75));
 194     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(-2), gmx_simd4_trunc_r(rSimd4_m2p25));
 195     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom1R(-3), gmx_simd4_trunc_r(rSimd4_m3p75));
 196 }
 197
 198 /* We do extensive 1/sqrt(x) and 1/x accuracy testing in the tests for
 199  * the SIMD math functions, so we just make sure the lookup instructions
 200  * appear to work for a few values here.
 201  */
 202 TEST_F(Simd4FloatingpointTest, gmxSimd4RsqrtR)
 203 {
 204     gmx_simd4_real_t x      = setSimd4RealFrom3R(4.0, M_PI, 1234567890.0);
 205     gmx_simd4_real_t ref    = setSimd4RealFrom3R(0.5, 1.0/sqrt(M_PI), 1.0/sqrt(1234567890.0));
 206
 207     // The allowed Ulp deviation is 2 to the power of the number of mantissa
 208     // digits, minus the number of bits provided by the table lookup
 209     setUlpTol(1LL << (std::numeric_limits<real>::digits-GMX_SIMD_RSQRT_BITS));
 210     GMX_EXPECT_SIMD4_REAL_NEAR(ref, gmx_simd4_rsqrt_r(x));
 211 }
 212
 213 TEST_F(Simd4FloatingpointTest, gmxSimd4BoolCmpEqAndBlendZeroR)
 214 {
 215     gmx_simd4_bool_t eq   = gmx_simd4_cmpeq_r(rSimd4_5_7_9, rSimd4_7_8_9);
 216     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(0, 0, 3), gmx_simd4_blendzero_r(rSimd4_1_2_3, eq));
 217 }
 218
 219 TEST_F(Simd4FloatingpointTest, gmxSimd4BlendNotZeroR)
 220 {
 221     gmx_simd4_bool_t eq   = gmx_simd4_cmpeq_r(rSimd4_5_7_9, rSimd4_7_8_9);
 222     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(1, 2, 0), gmx_simd4_blendnotzero_r(rSimd4_1_2_3, eq));
 223 }
 224
 225 TEST_F(Simd4FloatingpointTest, gmxSimd4BoolCmpLER)
 226 {
 227     gmx_simd4_bool_t le   = gmx_simd4_cmple_r(rSimd4_5_7_9, rSimd4_7_8_9);
 228     GMX_EXPECT_SIMD4_REAL_EQ(rSimd4_1_2_3, gmx_simd4_blendzero_r(rSimd4_1_2_3, le));
 229 }
 230
 231 TEST_F(Simd4FloatingpointTest, gmxSimd4BoolCmpLTR)
 232 {
 233     gmx_simd4_bool_t lt   = gmx_simd4_cmplt_r(rSimd4_5_7_9, rSimd4_7_8_9);
 234     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(1, 2, 0), gmx_simd4_blendzero_r(rSimd4_1_2_3, lt));
 235 }
 236
 237 TEST_F(Simd4FloatingpointTest, gmxSimd4BoolAndB)
 238 {
 239     gmx_simd4_bool_t eq   = gmx_simd4_cmpeq_r(rSimd4_5_7_9, rSimd4_7_8_9);
 240     gmx_simd4_bool_t le   = gmx_simd4_cmple_r(rSimd4_5_7_9, rSimd4_7_8_9);
 241     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(0, 0, 3), gmx_simd4_blendzero_r(rSimd4_1_2_3, gmx_simd4_and_b(eq, le)));
 242 }
 243
 244 TEST_F(Simd4FloatingpointTest, gmxSimd4BoolOrB)
 245 {
 246     gmx_simd4_bool_t eq   = gmx_simd4_cmpeq_r(rSimd4_5_7_9, rSimd4_7_8_9);
 247     gmx_simd4_bool_t lt   = gmx_simd4_cmplt_r(rSimd4_5_7_9, rSimd4_7_8_9);
 248     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(1, 2, 3), gmx_simd4_blendzero_r(rSimd4_1_2_3, gmx_simd4_or_b(eq, lt)));
 249 }
 250
 251 TEST_F(Simd4FloatingpointTest, gmxSimd4AnytrueB)
 252 {
 253     gmx_simd4_bool_t eq;
 254
 255     /* this test is a bit tricky since we don't know the simd width.
 256      * We cannot check for truth values for "any" element beyond the first,
 257      * since that part of the data will not be used if simd width is 1.
 258      */
 259     eq = gmx_simd4_cmpeq_r(rSimd4_5_7_9, setSimd4RealFrom3R(5, 0, 0));
 260     EXPECT_NE(0, gmx_simd4_anytrue_b(eq));
 261
 262     eq = gmx_simd4_cmpeq_r(rSimd4_1_2_3, rSimd4_4_5_6);
 263     EXPECT_EQ(0, gmx_simd4_anytrue_b(eq));
 264 }
 265
 266 TEST_F(Simd4FloatingpointTest, gmxSimd4BlendvR)
 267 {
 268     gmx_simd4_bool_t lt   = gmx_simd4_cmplt_r(rSimd4_5_7_9, rSimd4_7_8_9);
 269     GMX_EXPECT_SIMD4_REAL_EQ(setSimd4RealFrom3R(4, 5, 3), gmx_simd4_blendv_r(rSimd4_1_2_3, rSimd4_4_5_6, lt));
 270 }
 271
 272 TEST_F(Simd4FloatingpointTest, gmxSimd4ReduceR)
 273 {
 274     // The horizontal sum of the SIMD variable depends on the width, so
 275     // simply store it an extra time and calculate what the sum should be
 276     std::vector<real> v   = simd4Real2Vector(rSimd4_1_2_3);
 277     real              sum = 0.0;
 278
 279     for (int i = 0; i < GMX_SIMD4_WIDTH; i++)
 280     {
 281         sum += v[i];
 282     }
 283
 284     EXPECT_EQ(sum, gmx_simd4_reduce_r(rSimd4_1_2_3));
 285 }
 286
 287
 288 TEST_F(Simd4FloatingpointTest, gmxSimd4Dotproduct3R)
 289 {
 290     gmx_simd4_real_t v1 = setSimd4RealFrom3R(1, 4, 5);
 291     gmx_simd4_real_t v2 = setSimd4RealFrom3R(3, 8, 2);
 292 #    ifdef GMX_DOUBLE
 293     EXPECT_DOUBLE_EQ(45.0, gmx_simd4_dotproduct3_r(v1, v2));
 294 #    else
 295     EXPECT_FLOAT_EQ(45.0, gmx_simd4_dotproduct3_r(v1, v2));
 296 #    endif
 297 }
 298
 299 #endif      // GMX_SIMD4_HAVE_REAL
 300
 301 /*! \} */
 302 /*! \endcond */
 303
 304 }      // namespace
 305 }      // namespace
 306 }      // namespace