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lol/test/unit/real.cpp

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  1. //

  2. // Lol Engine

  3. //

  4. // Copyright: (c) 2010-2011 Sam Hocevar <sam@hocevar.net>

  5. //   This program is free software; you can redistribute it and/or

  6. //   modify it under the terms of the Do What The Fuck You Want To

  7. //   Public License, Version 2, as published by Sam Hocevar. See

  8. //   http://sam.zoy.org/projects/COPYING.WTFPL for more details.

  9. //

  10. 

  11. #if defined HAVE_CONFIG_H

  12. #   include "config.h"

  13. #endif

  14. 

  15. #include <cmath>

  16. 

  17. #include "core.h"

  18. #include "lol/unit.h"

  19. 

  20. namespace lol

  21. {

  22. 

  23. LOLUNIT_FIXTURE(RealTest)

  24. {

  25.     LOLUNIT_TEST(Constants)

  26.     {

  27.         double a0 = real::R_0;

  28.         double a1 = real::R_1;

  29.         double a2 = real::R_2;

  30.         double a10 = real::R_10;

  31. 

  32.         LOLUNIT_ASSERT_EQUAL(a0, 0.0);

  33.         LOLUNIT_ASSERT_EQUAL(a1, 1.0);

  34.         LOLUNIT_ASSERT_EQUAL(a2, 2.0);

  35.         LOLUNIT_ASSERT_EQUAL(a10, 10.0);

  36. 

  37.         double b1 = log(real::R_E);

  38.         double b2 = log2(real::R_2);

  39.         LOLUNIT_ASSERT_EQUAL(b1, 1.0);

  40.         LOLUNIT_ASSERT_EQUAL(b2, 1.0);

  41. 

  42.         double c1 = exp(re(real::R_LOG2E));

  43.         double c2 = log(exp2(real::R_LOG2E));

  44.         LOLUNIT_ASSERT_EQUAL(c1, 2.0);

  45.         LOLUNIT_ASSERT_EQUAL(c2, 1.0);

  46. 

  47.         double d1 = exp(re(real::R_LOG10E));

  48.         LOLUNIT_ASSERT_EQUAL(d1, 10.0);

  49. 

  50.         double e1 = exp(real::R_LN2);

  51.         LOLUNIT_ASSERT_EQUAL(e1, 2.0);

  52. 

  53.         double f1 = exp(real::R_LN10);

  54.         LOLUNIT_ASSERT_EQUAL(f1, 10.0);

  55. 

  56.         double g1 = sin(real::R_PI);

  57.         double g2 = cos(real::R_PI);

  58.         LOLUNIT_ASSERT_DOUBLES_EQUAL(g1, 0.0, 1e-100);

  59.         LOLUNIT_ASSERT_EQUAL(g2, -1.0);

  60. 

  61.         double h1 = sin(real::R_PI_2);

  62.         double h2 = cos(real::R_PI_2);

  63.         LOLUNIT_ASSERT_EQUAL(h1, 1.0);

  64.         LOLUNIT_ASSERT_DOUBLES_EQUAL(h2, 0.0, 1e-100);

  65. 

  66.         double i1 = sin(real::R_PI_4) * sin(real::R_PI_4);

  67.         double i2 = cos(real::R_PI_4) * cos(real::R_PI_4);

  68.         LOLUNIT_ASSERT_EQUAL(i1, 0.5);

  69.         LOLUNIT_ASSERT_EQUAL(i2, 0.5);

  70.     }

  71. 

  72.     LOLUNIT_TEST(FloatToReal)

  73.     {

  74.         float a1 = real(0.0f);

  75.         float a2 = real(-0.0f);

  76.         float a3 = real(1.0f);

  77.         float a4 = real(-1.0f);

  78.         float a5 = real(1.5f);

  79.         float a6 = real(12345678.0f);

  80. 

  81.         LOLUNIT_ASSERT_EQUAL(a1, 0.0f);

  82.         LOLUNIT_ASSERT_EQUAL(a2, -0.0f);

  83.         LOLUNIT_ASSERT_EQUAL(a3, 1.0f);

  84.         LOLUNIT_ASSERT_EQUAL(a4, -1.0f);

  85.         LOLUNIT_ASSERT_EQUAL(a5, 1.5f);

  86.         LOLUNIT_ASSERT_EQUAL(a6, 12345678.0f);

  87.     }

  88. 

  89.     LOLUNIT_TEST(DoubleToReal)

  90.     {

  91.         double a1 = real(0.0);

  92.         double a2 = real(-0.0);

  93.         double a3 = real(1.0);

  94.         double a4 = real(-1.0);

  95.         double a5 = real(1.5);

  96.         double a6 = real(1234567876543210.0);

  97. 

  98.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a1, 0.0, 0.0);

  99.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a2, -0.0, 0.0);

  100.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a3, 1.0, 0.0);

  101.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a4, -1.0, 0.0);

  102.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a5, 1.5, 0.0);

  103.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a6, 1234567876543210.0, 0.0);

  104.     }

  105. 

  106.     LOLUNIT_TEST(UnaryMinus)

  107.     {

  108.         float a1 = - real(1.0f);

  109.         float a2 = - real(-1.0f);

  110.         float a3 = - real(0.0f);

  111.         float a4 = - real(-0.0f);

  112. 

  113.         LOLUNIT_ASSERT_EQUAL(a1, -1.0f);

  114.         LOLUNIT_ASSERT_EQUAL(a2, 1.0f);

  115.         LOLUNIT_ASSERT_EQUAL(a3, -0.0f);

  116.         LOLUNIT_ASSERT_EQUAL(a4, 0.0f);

  117.     }

  118. 

  119.     LOLUNIT_TEST(Comparison)

  120.     {

  121.         LOLUNIT_ASSERT(real(1.0f) > real(0.5f));

  122.         LOLUNIT_ASSERT(real(1.0f) >= real(0.5f));

  123.         LOLUNIT_ASSERT(real(1.0f) >= real(1.0f));

  124. 

  125.         LOLUNIT_ASSERT(real(-1.0f) < real(-0.5f));

  126.         LOLUNIT_ASSERT(real(-1.0f) <= real(-0.5f));

  127.         LOLUNIT_ASSERT(real(-1.0f) <= real(-1.0f));

  128. 

  129.         LOLUNIT_ASSERT(real(-1.0f) < real(0.5f));

  130.         LOLUNIT_ASSERT(real(-0.5f) < real(1.0f));

  131.         LOLUNIT_ASSERT(real(-1.0f) <= real(0.5f));

  132.         LOLUNIT_ASSERT(real(-0.5f) <= real(1.0f));

  133. 

  134.         LOLUNIT_ASSERT(real(1.0f) > real(-0.5f));

  135.         LOLUNIT_ASSERT(real(0.5f) > real(-1.0f));

  136.         LOLUNIT_ASSERT(real(1.0f) >= real(-0.5f));

  137.         LOLUNIT_ASSERT(real(0.5f) >= real(-1.0f));

  138.     }

  139. 

  140.     LOLUNIT_TEST(Addition)

  141.     {

  142.         float a1 = real(1.0f) + real(0.0f);

  143.         float a2 = real(0.0f) + real(1.0f);

  144.         float a3 = real(1.0f) + real(1.0f);

  145.         float a4 = real(-1.0f) + real(-1.0f);

  146.         float a5 = real(1.0f) + real(0.125f);

  147.         double a6 = real(3.13609818956293918)

  148.                   + real(0.00005972154828114);

  149.         float a7 = real(1.0f) + real(-0.125f);

  150.         double a8 = real(0.10000000002) + real(-2.0e-11);

  151. 

  152.         LOLUNIT_ASSERT_EQUAL(a1, 1.0f);

  153.         LOLUNIT_ASSERT_EQUAL(a2, 1.0f);

  154.         LOLUNIT_ASSERT_EQUAL(a3, 2.0f);

  155.         LOLUNIT_ASSERT_EQUAL(a4, -2.0f);

  156.         LOLUNIT_ASSERT_EQUAL(a5, 1.125f);

  157.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a6, 3.1361579, 0.000001);

  158.         LOLUNIT_ASSERT_EQUAL(a7, 0.875f);

  159.         LOLUNIT_ASSERT_DOUBLES_EQUAL(a8, 0.1, 1.0e-13);

  160.     }

  161. 

  162.     LOLUNIT_TEST(Subtraction)

  163.     {

  164.         float a1 = real(1.0f) + real(1e20f) - real(1e20f);

  165. 

  166.         LOLUNIT_ASSERT_EQUAL(a1, 1.0f);

  167.     }

  168. 

  169.     LOLUNIT_TEST(Multiplication)

  170.     {

  171.         real x(1.25f);

  172.         real y(1.5f);

  173.         real z(1.99999f);

  174.         real w(-1.5f);

  175. 

  176.         float m1 = x * x;

  177.         float m2 = y * y;

  178.         float m3 = z * z;

  179.         float m4 = w * w;

  180. 

  181.         LOLUNIT_ASSERT_EQUAL(m1, 1.25f * 1.25f);

  182.         LOLUNIT_ASSERT_EQUAL(m2, 1.5f * 1.5f);

  183.         LOLUNIT_ASSERT_EQUAL(m3, 1.99999f * 1.99999f);

  184.         LOLUNIT_ASSERT_EQUAL(m4, -1.5f * -1.5f);

  185.     }

  186. 

  187.     LOLUNIT_TEST(ExactDivision)

  188.     {

  189.         float m1 = real::R_1 / real::R_1;

  190.         float m2 = real::R_2 / real::R_1;

  191.         float m3 = real::R_1 / real::R_2;

  192.         float m4 = real::R_2 / real::R_2;

  193.         float m5 = real::R_1 / -real::R_2;

  194. 

  195.         LOLUNIT_ASSERT_EQUAL(m1, 1.0f);

  196.         LOLUNIT_ASSERT_EQUAL(m2, 2.0f);

  197.         LOLUNIT_ASSERT_EQUAL(m3, 0.5f);

  198.         LOLUNIT_ASSERT_EQUAL(m4, 1.0f);

  199.         LOLUNIT_ASSERT_EQUAL(m5, -0.5f);

  200.     }

  201. 

  202.     LOLUNIT_TEST(InexactDivision)

  203.     {

  204.         /* 1 / 3 * 3 should be close to 1... check that it does not differ

  205.          * by more than 2^-k where k is the number of bits in the mantissa. */

  206.         real a = real::R_1 / real::R_3 * real::R_3;

  207.         real b = (real::R_1 - a) << (real::BIGITS * real::BIGIT_BITS);

  208. 

  209.         LOLUNIT_ASSERT_LEQUAL((double)fabs(b), 1.0);

  210.     }

  211. 

  212.     LOLUNIT_TEST(Shift)

  213.     {

  214.         real a1(1.5);

  215.         real a2(-1.5);

  216.         real a3(0.0);

  217. 

  218.         LOLUNIT_ASSERT_EQUAL((double)(a1 >> 7), 0.01171875);

  219.         LOLUNIT_ASSERT_EQUAL((double)(a1 >> -7), 192.0);

  220.         LOLUNIT_ASSERT_EQUAL((double)(a1 << 7), 192.0);

  221.         LOLUNIT_ASSERT_EQUAL((double)(a1 << -7), 0.01171875);

  222. 

  223.         LOLUNIT_ASSERT_EQUAL((double)(a2 >> 7), -0.01171875);

  224.         LOLUNIT_ASSERT_EQUAL((double)(a2 >> -7), -192.0);

  225.         LOLUNIT_ASSERT_EQUAL((double)(a2 << 7), -192.0);

  226.         LOLUNIT_ASSERT_EQUAL((double)(a2 << -7), -0.01171875);

  227. 

  228.         LOLUNIT_ASSERT_EQUAL((double)(a3 >> 7), 0.0);

  229.         LOLUNIT_ASSERT_EQUAL((double)(a3 >> -7), 0.0);

  230.         LOLUNIT_ASSERT_EQUAL((double)(a3 << 7), 0.0);

  231.         LOLUNIT_ASSERT_EQUAL((double)(a3 << -7), 0.0);

  232.     }

  233. 

  234.     LOLUNIT_TEST(Bool)

  235.     {

  236.         real a = 0.0;

  237.         LOLUNIT_ASSERT(!a);

  238. 

  239.         a = -0.0;

  240.         LOLUNIT_ASSERT(!a);

  241. 

  242.         a = 1234.0;

  243.         LOLUNIT_ASSERT(a);

  244.         LOLUNIT_ASSERT(!!a);

  245. 

  246.         a = -1234.0;

  247.         LOLUNIT_ASSERT(a);

  248.         LOLUNIT_ASSERT(!!a);

  249.     }

  250. 

  251.     LOLUNIT_TEST(AsinAcos)

  252.     {

  253.         double tests[] =

  254.         {

  255.             -1024.0, -1023.0, -513.0, -512.0, -511.0, -1.0, -0.0,

  256.             0.0, 1.0, 511.0, 512.0, 513.0, 1023.0, 1024.0

  257.         };

  258. 

  259.         for (unsigned int n = 0; n < sizeof(tests) / sizeof(*tests); n++)

  260.         {

  261.             double a = tests[n] / 1024;

  262.             double b = sin(asin((real)a));

  263.             double c = cos(acos((real)a));

  264. 

  265.             LOLUNIT_SET_CONTEXT(a);

  266.             LOLUNIT_ASSERT_DOUBLES_EQUAL(b, a, 1e-100);

  267.             LOLUNIT_ASSERT_DOUBLES_EQUAL(c, a, 1e-100);

  268.         }

  269.     }

  270. 

  271.     LOLUNIT_TEST(FloorCeilEtc)

  272.     {

  273.         double tests[] =

  274.         {

  275.             -2.0,  -2.0, -2.0,  -2.0,

  276.             -1.5,  -2.0, -1.0,  -2.0,

  277.             -1.0,  -1.0, -1.0,  -1.0,

  278.             -0.0,  -0.0, -0.0,  -0.0,

  279.              0.0,   0.0,  0.0,   0.0,

  280.              0.25,  0.0,  1.0,   0.0,

  281.              0.375, 0.0,  1.0,   0.0,

  282.              0.5,   0.0,  1.0,   1.0,

  283.              1.0,   1.0,  1.0,   1.0,

  284.              1.5,   1.0,  2.0,   2.0,

  285.              2.0,   2.0,  2.0,   2.0,

  286.              2.5,   2.0,  3.0,   3.0,

  287.              3.0,   3.0,  3.0,   3.0,

  288.             8192.0,     8192.0, 8192.0, 8192.0,

  289.             8192.03125, 8192.0, 8193.0, 8192.0,

  290.             8192.5,     8192.0, 8193.0, 8193.0,

  291.             8193.0,     8193.0, 8193.0, 8193.0,

  292.             549755813888.0,     549755813888.0, 549755813888.0, 549755813888.0,

  293.             549755813888.03125, 549755813888.0, 549755813889.0, 549755813888.0,

  294.             549755813888.5,     549755813888.0, 549755813889.0, 549755813889.0,

  295.             549755813889.0,     549755813889.0, 549755813889.0, 549755813889.0,

  296.         };

  297. 

  298.         for (unsigned int n = 0; n < sizeof(tests) / sizeof(*tests); n += 4)

  299.         {

  300.             double a0 = floor((real)tests[n]);

  301.             double b0 = tests[n + 1];

  302.             double a1 = ceil((real)tests[n]);

  303.             double b1 = tests[n + 2];

  304.             double a2 = round((real)tests[n]);

  305.             double b2 = tests[n + 3];

  306. 

  307.             LOLUNIT_ASSERT_EQUAL(b0, a0);

  308.             LOLUNIT_ASSERT_EQUAL(b1, a1);

  309.             LOLUNIT_ASSERT_EQUAL(b2, a2);

  310.         }

  311.     }

  312. };

  313. 

  314. } /* namespace lol */