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OpenBLAS/utest/test_axpby.c

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  1. /*****************************************************************************

  2. Copyright (c) 2011-2024, The OpenBLAS Project

  3. All rights reserved.

  4. 

  5. Redistribution and use in source and binary forms, with or without

  6. modification, are permitted provided that the following conditions are

  7. met:

  8. 

  9.    1. Redistributions of source code must retain the above copyright

  10.       notice, this list of conditions and the following disclaimer.

  11. 

  12.    2. Redistributions in binary form must reproduce the above copyright

  13.       notice, this list of conditions and the following disclaimer in

  14.       the documentation and/or other materials provided with the

  15.       distribution.

  16.    3. Neither the name of the OpenBLAS project nor the names of

  17.       its contributors may be used to endorse or promote products

  18.       derived from this software without specific prior written

  19.       permission.

  20. 

  21. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"

  22. AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE

  23. IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE

  24. ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE

  25. LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL

  26. DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR

  27. SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER

  28. CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,

  29. OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE

  30. USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

  31. 

  32. **********************************************************************************/

  33. 

  34. #include "openblas_utest.h"

  35. 

  36. #ifdef BUILD_SINGLE

  37. CTEST(axpby, saxpby_inc_0)

  38. {

  39.     blasint i;

  40.     blasint N = 9, incX = 0, incY = 0;

  41.     float alpha = 1.0, beta = 2.0;

  42.     float x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  43.     float y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  44. 

  45.     BLASFUNC(saxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  46. 

  47.     float x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  48.     float y2[] = { 1535.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  49. 

  50.     for(i = 0; i < N; i++){

  51.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], SINGLE_EPS);

  52.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], SINGLE_EPS);

  53.     }

  54. }

  55. 

  56. CTEST(axpby, saxpby_inc_1)

  57. {

  58.     blasint i;

  59.     blasint N = 9, incX = 1, incY = 1;

  60.     float alpha = 0.25, beta = 0.75;

  61.     float x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  62.     float y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  63. 

  64.     BLASFUNC(saxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  65. 

  66.     float x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  67.     float y2[] = { 1.75, 3.75, 5.75, 7.75, 1.75, 3.75, 5.75, 7.75, 9.75 };

  68. 

  69.     for(i = 0; i < N; i++){

  70.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], SINGLE_EPS);

  71.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], SINGLE_EPS);

  72.     }

  73. }

  74. 

  75. CTEST(axpby, saxpby_inc_2)

  76. {

  77.     blasint i;

  78.     blasint N = 9, incX = 2, incY = 2;

  79.     float alpha = 0.25, beta = 0.75;

  80.     float x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  81.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  82.     float y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  83.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  84. 

  85.     BLASFUNC(saxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  86. 

  87.     float x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  88.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  89.     float y2[] = { 1.75, 4.00, 5.75, 8.00, 1.75, 4.00, 5.75, 8.00,

  90.                    9.75, 2.00, 3.75, 6.00, 7.75, 2.00, 3.75, 6.00,

  91.                    7.75, 10.00 };

  92. 

  93.     for(i = 0; i < 2 * N; i++){

  94.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], SINGLE_EPS);

  95.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], SINGLE_EPS);

  96.     }

  97. }

  98. #endif

  99. 

  100. #ifdef BUILD_DOUBLE

  101. CTEST(axpby, daxpby_inc_0)

  102. {

  103.     blasint i;

  104.     blasint N = 9, incX = 0, incY = 0;

  105.     double alpha = 1.0, beta  = 2.0;

  106.     double x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  107.     double y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  108. 

  109.     BLASFUNC(daxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  110. 

  111.     double x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  112.     double y2[] = { 1535.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  113. 

  114.     for(i = 0; i < N; i++){

  115.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], DOUBLE_EPS);

  116.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], DOUBLE_EPS);

  117.     }

  118. }

  119. 

  120. CTEST(axpby, daxpby_inc_1)

  121. {

  122.     blasint i;

  123.     blasint N = 9, incX = 1, incY = 1;

  124.     double alpha = 0.25, beta = 0.75;

  125.     double x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  126.     double y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  127. 

  128.     BLASFUNC(daxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  129. 

  130.     double x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  131.     double y2[] = { 1.75, 3.75, 5.75, 7.75, 1.75, 3.75, 5.75, 7.75, 9.75 };

  132. 

  133.     for(i = 0; i < N; i++){

  134.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], DOUBLE_EPS);

  135.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], DOUBLE_EPS);

  136.     }

  137. }

  138. 

  139. CTEST(axpby, daxpby_inc_2)

  140. {

  141.     blasint i;

  142.     blasint N = 9, incX = 2, incY = 2;

  143.     double alpha = 0.25, beta = 0.75;

  144.     double x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  145.                     1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  146.     double y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  147.                     2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  148. 

  149.     BLASFUNC(daxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  150. 

  151.     double x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  152.                     1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  153.     double y2[] = { 1.75, 4.00, 5.75, 8.00, 1.75, 4.00, 5.75, 8.00,

  154.                     9.75, 2.00, 3.75, 6.00, 7.75, 2.00, 3.75, 6.00,

  155.                     7.75, 10.00 };

  156. 

  157.     for(i = 0; i < 2 * N; i++){

  158.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], DOUBLE_EPS);

  159.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], DOUBLE_EPS);

  160.     }

  161. }

  162. #endif

  163. 

  164. #ifdef BUILD_COMPLEX

  165. CTEST(axpby, caxpby_inc_0)

  166. {

  167.     blasint i;

  168.     blasint N = 9, incX = 0, incY = 0;

  169.     float alpha[] = { 1.0, 2.0 }, beta[] = { 2.0, 1.0 };

  170.     float x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  171.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  172.     float y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  173.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  174. 

  175.     BLASFUNC(caxpby)(&N, alpha, x1, &incX, beta, y1, &incY);

  176. 

  177.     float x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  178.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  179.     float y2[] = { 9355.0, -8865.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0,

  180.                    10.0, 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  181. 

  182.     for(i = 0; i < 2 * N; i++){

  183.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], SINGLE_EPS);

  184.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], SINGLE_EPS);

  185.     }

  186. }

  187. 

  188. CTEST(axpby, caxpby_inc_1)

  189. {

  190.     blasint i;

  191.     blasint N = 9, incX = 1, incY = 1;

  192.     float alpha[] = { 0.25, 0.25 }, beta[] = { 0.75, 0.75 };

  193.     float x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  194.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  195.     float y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  196.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  197. 

  198.     BLASFUNC(caxpby)(&N, alpha, x1, &incX, beta, y1, &incY);

  199. 

  200.     float x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  201.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  202.     float y2[] = { -2.0, 5.5, -2.0, 13.5, -2.0, 5.5, -2.0, 13.5,

  203.                    8.0, 11.5, -2.0, 9.5, 6.0, 9.5, -2.0, 9.5, -2.0, 17.5 };

  204. 

  205.     for(i = 0; i < 2 * N; i++){

  206.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], SINGLE_EPS);

  207.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], SINGLE_EPS);

  208.     }

  209. }

  210. 

  211. CTEST(axpby, caxpby_inc_2)

  212. {

  213.     blasint i;

  214.     blasint N = 9, incX = 2, incY = 2;

  215.     float alpha[] = { 0.25, 0.25 }, beta[] = { 0.75, 0.75 };

  216.     float x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  217.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  218.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  219.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  220.     float y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  221.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  222.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  223.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  224. 

  225.     BLASFUNC(caxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  226. 

  227.     float x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  228.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  229.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  230.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  231.     float y2[] = { -2.0, 5.5, 6.0, 8.0, -2.0, 5.5, 6.0, 8.0, 8.0,

  232.                    11.5, 4.0, 6.0, 6.0, 9.5, 4.0, 6.0, -2.0, 17.5,

  233.                    2.0, 4.0, -2.0, 13.5, 2.0, 4.0, -2.0, 13.5, 10.0,

  234.                    2.0, -2.0, 9.5, 8.0, 2.0, -2.0, 9.5, 8.0, 10.0 };

  235. 

  236.     for(i = 0; i < 4 * N; i++){

  237.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], SINGLE_EPS);

  238.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], SINGLE_EPS);

  239.     }

  240. }

  241. #endif

  242. 

  243. #ifdef BUILD_COMPLEX16

  244. CTEST(axpby, zaxpby_inc_0)

  245. {

  246.     blasint i;

  247.     blasint N = 9, incX = 0, incY = 0;

  248.     double alpha[] = { 1.0, 2.0 }, beta[] = { 2.0, 1.0 };

  249.     double x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  250.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  251.     double y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  252.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  253. 

  254.     BLASFUNC(zaxpby)(&N, alpha, x1, &incX, beta, y1, &incY);

  255. 

  256.     double x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  257.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  258.     double y2[] = { 9355.0, -8865.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0,

  259.                    10.0, 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  260. 

  261.     for(i = 0; i < 2 * N; i++){

  262.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], DOUBLE_EPS);

  263.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], DOUBLE_EPS);

  264.     }

  265. }

  266. 

  267. CTEST(axpby, zaxpby_inc_1)

  268. {

  269.     blasint i;

  270.     blasint N = 9, incX = 1, incY = 1;

  271.     double alpha[] = { 0.25, 0.25 }, beta[] = { 0.75, 0.75 };

  272.     double x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  273.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  274.     double y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  275.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  276. 

  277.     BLASFUNC(zaxpby)(&N, alpha, x1, &incX, beta, y1, &incY);

  278. 

  279.     double x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  280.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  281.     double y2[] = { -2.0, 5.5, -2.0, 13.5, -2.0, 5.5, -2.0, 13.5,

  282.                    8.0, 11.5, -2.0, 9.5, 6.0, 9.5, -2.0, 9.5, -2.0, 17.5 };

  283. 

  284.     for(i = 0; i < 2 * N; i++){

  285.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], DOUBLE_EPS);

  286.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], DOUBLE_EPS);

  287.     }

  288. }

  289. 

  290. CTEST(axpby, zaxpby_inc_2)

  291. {

  292.     blasint i;

  293.     blasint N = 9, incX = 2, incY = 2;

  294.     double alpha[] = { 0.25, 0.25 }, beta[] = { 0.75, 0.75 };

  295.     double x1[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  296.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  297.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  298.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  299.     double y1[] = { 2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  300.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  301.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0,

  302.                    2.0, 4.0, 6.0, 8.0, 2.0, 4.0, 6.0, 8.0, 10.0 };

  303. 

  304.     BLASFUNC(zaxpby)(&N, &alpha, x1, &incX, &beta, y1, &incY);

  305. 

  306.     double x2[] = { 1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  307.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  308.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0,

  309.                    1.0, 3.0, 5.0, 7.0, 1.0, 3.0, 5.0, 7.0, 9.0 };

  310.     double y2[] = { -2.0, 5.5, 6.0, 8.0, -2.0, 5.5, 6.0, 8.0, 8.0,

  311.                    11.5, 4.0, 6.0, 6.0, 9.5, 4.0, 6.0, -2.0, 17.5,

  312.                    2.0, 4.0, -2.0, 13.5, 2.0, 4.0, -2.0, 13.5, 10.0,

  313.                    2.0, -2.0, 9.5, 8.0, 2.0, -2.0, 9.5, 8.0, 10.0 };

  314. 

  315.     for(i = 0; i < 4 * N; i++){

  316.         ASSERT_DBL_NEAR_TOL(x2[i], x1[i], DOUBLE_EPS);

  317.         ASSERT_DBL_NEAR_TOL(y2[i], y1[i], DOUBLE_EPS);

  318.     }

  319. }

  320. #endif