lolengine
/
lol
Mirror von https://github.com/lolengine/lol
1
0
Fork 0
Code Issues 0 Releases 0 Wiki Aktivität
Du kannst nicht mehr als 25 Themen auswählen Themen müssen entweder mit einem Buchstaben oder einer Ziffer beginnen. Sie können Bindestriche („-“) enthalten und bis zu 35 Zeichen lang sein.
2374 Commits
5 Branches
35 MiB
 
 
 
Struktur: 3916a44c58
Branches Tags
${ item.name }
Erstelle Branch ${ searchTerm }
von „3916a44c58“
${ noResults }
lol/src/t/math/real.cpp

358 Zeilen
10 KiB
Originalformat Blame Verlauf 

  1. //

  2. // Lol Engine

  3. //

  4. // Copyright: (c) 2010-2014 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://www.wtfpl.net/ for more details.

  9. //

  10. 

  11. #include <lol/engine-internal.h>

  12. 

  13. #include <cmath>

  14. 

  15. #include <lolunit.h>

  16. 

  17. namespace lol

  18. {

  19. 

  20. lolunit_declare_fixture(RealTest)

  21. {

  22.     lolunit_declare_test(Constants)

  23.     {

  24.         double a0 = real::R_0();

  25.         double a1 = real::R_1();

  26.         double a2 = real::R_2();

  27.         double a10 = real::R_10();

  28. 

  29.         lolunit_assert_equal(a0, 0.0);

  30.         lolunit_assert_equal(a1, 1.0);

  31.         lolunit_assert_equal(a2, 2.0);

  32.         lolunit_assert_equal(a10, 10.0);

  33. 

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

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

  36.         lolunit_assert_equal(b1, 1.0);

  37.         lolunit_assert_equal(b2, 1.0);

  38. 

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

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

  41.         lolunit_assert_equal(c1, 2.0);

  42.         lolunit_assert_equal(c2, 1.0);

  43. 

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

  45.         lolunit_assert_equal(d1, 10.0);

  46. 

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

  48.         lolunit_assert_equal(e1, 2.0);

  49. 

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

  51.         lolunit_assert_equal(f1, 10.0);

  52. 

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

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

  55.         lolunit_assert_doubles_equal(g1, 0.0, 1e-100);

  56.         lolunit_assert_equal(g2, -1.0);

  57. 

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

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

  60.         lolunit_assert_equal(h1, 1.0);

  61.         lolunit_assert_doubles_equal(h2, 0.0, 1e-100);

  62. 

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

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

  65.         lolunit_assert_equal(i1, 0.5);

  66.         lolunit_assert_equal(i2, 0.5);

  67.     }

  68. 

  69.     lolunit_declare_test(FloatToReal)

  70.     {

  71.         float a1 = real(0.0f);

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

  73.         float a3 = real(1.0f);

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

  75.         float a5 = real(1.5f);

  76.         float a6 = real(12345678.0f);

  77. 

  78.         lolunit_assert_equal(a1, 0.0f);

  79.         lolunit_assert_equal(a2, -0.0f);

  80.         lolunit_assert_equal(a3, 1.0f);

  81.         lolunit_assert_equal(a4, -1.0f);

  82.         lolunit_assert_equal(a5, 1.5f);

  83.         lolunit_assert_equal(a6, 12345678.0f);

  84.     }

  85. 

  86.     lolunit_declare_test(DoubleToReal)

  87.     {

  88.         double a1 = real(0.0);

  89.         double a2 = real(-0.0);

  90.         double a3 = real(1.0);

  91.         double a4 = real(-1.0);

  92.         double a5 = real(1.5);

  93.         double a6 = real(1234567876543210.0);

  94. 

  95.         lolunit_assert_doubles_equal(a1, 0.0, 0.0);

  96.         lolunit_assert_doubles_equal(a2, -0.0, 0.0);

  97.         lolunit_assert_doubles_equal(a3, 1.0, 0.0);

  98.         lolunit_assert_doubles_equal(a4, -1.0, 0.0);

  99.         lolunit_assert_doubles_equal(a5, 1.5, 0.0);

  100.         lolunit_assert_doubles_equal(a6, 1234567876543210.0, 0.0);

  101.     }

  102. 

  103.     lolunit_declare_test(Init)

  104.     {

  105.         real r;

  106.         float f1 = (float)r;

  107. 

  108.         lolunit_assert_equal(f1, 0.0f);

  109. 

  110.         rcmplx q;

  111.         float f2 = (float)q.x;

  112.         float f3 = (float)q.y;

  113. 

  114.         lolunit_assert_equal(f2, 0.0f);

  115.         lolunit_assert_equal(f3, 0.0f);

  116.     }

  117. 

  118.     lolunit_declare_test(StringToReal)

  119.     {

  120.         float a1 = real("0");

  121.         float a2 = real("1");

  122.         float a3 = real("-1");

  123.         /* 2^-128 * 2^128 */

  124.         float a4 = real("0.0000000000000000000000000000000000000029387358770"

  125.                         "557187699218413430556141945466638919302188037718792"

  126.                         "6569604314863681793212890625")

  127.                  * real("340282366920938463463374607431768211456");

  128. 

  129.         lolunit_assert_equal(a1, 0.0f);

  130.         lolunit_assert_equal(a2, 1.0f);

  131.         lolunit_assert_equal(a3, -1.0f);

  132.         lolunit_assert_equal(a4, 1.0f);

  133.     }

  134. 

  135.     lolunit_declare_test(UnaryMinus)

  136.     {

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

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

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

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

  141. 

  142.         lolunit_assert_equal(a1, -1.0f);

  143.         lolunit_assert_equal(a2, 1.0f);

  144.         lolunit_assert_equal(a3, -0.0f);

  145.         lolunit_assert_equal(a4, 0.0f);

  146.     }

  147. 

  148.     lolunit_declare_test(Comparison)

  149.     {

  150.         lolunit_assert(real(1.0f) > real(0.5f));

  151.         lolunit_assert(real(1.0f) >= real(0.5f));

  152.         lolunit_assert(real(1.0f) >= real(1.0f));

  153. 

  154.         lolunit_assert(real(-1.0f) < real(-0.5f));

  155.         lolunit_assert(real(-1.0f) <= real(-0.5f));

  156.         lolunit_assert(real(-1.0f) <= real(-1.0f));

  157. 

  158.         lolunit_assert(real(-1.0f) < real(0.5f));

  159.         lolunit_assert(real(-0.5f) < real(1.0f));

  160.         lolunit_assert(real(-1.0f) <= real(0.5f));

  161.         lolunit_assert(real(-0.5f) <= real(1.0f));

  162. 

  163.         lolunit_assert(real(1.0f) > real(-0.5f));

  164.         lolunit_assert(real(0.5f) > real(-1.0f));

  165.         lolunit_assert(real(1.0f) >= real(-0.5f));

  166.         lolunit_assert(real(0.5f) >= real(-1.0f));

  167.     }

  168. 

  169.     lolunit_declare_test(Addition)

  170.     {

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

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

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

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

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

  176.         double a6 = real(3.13609818956293918)

  177.                   + real(0.00005972154828114);

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

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

  180. 

  181.         lolunit_assert_equal(a1, 1.0f);

  182.         lolunit_assert_equal(a2, 1.0f);

  183.         lolunit_assert_equal(a3, 2.0f);

  184.         lolunit_assert_equal(a4, -2.0f);

  185.         lolunit_assert_equal(a5, 1.125f);

  186.         lolunit_assert_doubles_equal(a6, 3.1361579, 0.000001);

  187.         lolunit_assert_equal(a7, 0.875f);

  188.         lolunit_assert_doubles_equal(a8, 0.1, 1.0e-13);

  189.     }

  190. 

  191.     lolunit_declare_test(Subtraction)

  192.     {

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

  194. 

  195.         lolunit_assert_equal(a1, 1.0f);

  196.     }

  197. 

  198.     lolunit_declare_test(Multiplication)

  199.     {

  200.         real x(1.25f);

  201.         real y(1.5f);

  202.         real z(1.99999f);

  203.         real w(-1.5f);

  204. 

  205.         float m1 = x * x;

  206.         float m2 = y * y;

  207.         float m3 = z * z;

  208.         float m4 = w * w;

  209. 

  210.         lolunit_assert_equal(m1, 1.25f * 1.25f);

  211.         lolunit_assert_equal(m2, 1.5f * 1.5f);

  212.         lolunit_assert_equal(m3, 1.99999f * 1.99999f);

  213.         lolunit_assert_equal(m4, -1.5f * -1.5f);

  214.     }

  215. 

  216.     lolunit_declare_test(ExactDivision)

  217.     {

  218.         float m1 = real::R_1() / real::R_1();

  219.         float m2 = real::R_2() / real::R_1();

  220.         float m3 = real::R_1() / real::R_2();

  221.         float m4 = real::R_2() / real::R_2();

  222.         float m5 = real::R_1() / -real::R_2();

  223. 

  224.         lolunit_assert_equal(m1, 1.0f);

  225.         lolunit_assert_equal(m2, 2.0f);

  226.         lolunit_assert_equal(m3, 0.5f);

  227.         lolunit_assert_equal(m4, 1.0f);

  228.         lolunit_assert_equal(m5, -0.5f);

  229.     }

  230. 

  231.     lolunit_declare_test(InexactDivision)

  232.     {

  233.         /* 1 / 3 * 3 should be close to 1... check that it does not differ

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

  235.         real a = real::R_1() / real::R_3() * real::R_3();

  236.         real b = ldexp(real::R_1() - a, real::BIGITS * real::BIGIT_BITS);

  237. 

  238.         lolunit_assert_lequal((double)fabs(b), 1.0);

  239.     }

  240. 

  241.     lolunit_declare_test(LoadExp)

  242.     {

  243.         real a1(1.5);

  244.         real a2(-1.5);

  245.         real a3(0.0);

  246. 

  247.         lolunit_assert_equal((double)ldexp(a1, 7), 192.0);

  248.         lolunit_assert_equal((double)ldexp(a1, -7), 0.01171875);

  249. 

  250.         lolunit_assert_equal((double)ldexp(a2, 7), -192.0);

  251.         lolunit_assert_equal((double)ldexp(a2, -7), -0.01171875);

  252. 

  253.         lolunit_assert_equal((double)ldexp(a3, 7), 0.0);

  254.         lolunit_assert_equal((double)ldexp(a3, -7), 0.0);

  255.     }

  256. 

  257.     lolunit_declare_test(Ulp)

  258.     {

  259.         real a1 = real::R_PI();

  260. 

  261.         lolunit_assert_not_equal((double)(a1 + ulp(a1) - a1), 0.0);

  262.         lolunit_assert_equal((double)(a1 + ulp(a1) / 2 - a1), 0.0);

  263.     }

  264. 

  265.     lolunit_declare_test(Bool)

  266.     {

  267.         real a = 0.0;

  268.         lolunit_assert(!a);

  269. 

  270.         a = -0.0;

  271.         lolunit_assert(!a);

  272. 

  273.         a = 1234.0;

  274.         lolunit_assert(a);

  275.         lolunit_assert(!!a);

  276. 

  277.         a = -1234.0;

  278.         lolunit_assert(a);

  279.         lolunit_assert(!!a);

  280.     }

  281. 

  282.     lolunit_declare_test(AsinAcos)

  283.     {

  284.         double tests[] =

  285.         {

  286.             -1024.0, -1023.0, -513.0, -512.0, -511.0, -1.0, -0.0,

  287.             0.0, 1.0, 511.0, 512.0, 513.0, 1023.0, 1024.0

  288.         };

  289. 

  290.         for (double test : tests)

  291.         {

  292.             double a = test / 1024;

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

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

  295. 

  296.             lolunit_set_context(a);

  297.             lolunit_assert_doubles_equal(b, a, 1e-100);

  298.             lolunit_assert_doubles_equal(c, a, 1e-100);

  299.         }

  300.     }

  301. 

  302.     lolunit_declare_test(FloorCeilEtc)

  303.     {

  304.         double tests[] =

  305.         {

  306.             -2.0,  -2.0, -2.0,  -2.0,

  307.             -1.5,  -2.0, -1.0,  -2.0,

  308.             -1.0,  -1.0, -1.0,  -1.0,

  309.             -0.0,  -0.0, -0.0,  -0.0,

  310.              0.0,   0.0,  0.0,   0.0,

  311.              0.25,  0.0,  1.0,   0.0,

  312.              0.375, 0.0,  1.0,   0.0,

  313.              0.5,   0.0,  1.0,   1.0,

  314.              1.0,   1.0,  1.0,   1.0,

  315.              1.5,   1.0,  2.0,   2.0,

  316.              2.0,   2.0,  2.0,   2.0,

  317.              2.5,   2.0,  3.0,   3.0,

  318.              3.0,   3.0,  3.0,   3.0,

  319.             8192.0,     8192.0, 8192.0, 8192.0,

  320.             8192.03125, 8192.0, 8193.0, 8192.0,

  321.             8192.5,     8192.0, 8193.0, 8193.0,

  322.             8193.0,     8193.0, 8193.0, 8193.0,

  323.             549755813888.0,     549755813888.0, 549755813888.0, 549755813888.0,

  324.             549755813888.03125, 549755813888.0, 549755813889.0, 549755813888.0,

  325.             549755813888.5,     549755813888.0, 549755813889.0, 549755813889.0,

  326.             549755813889.0,     549755813889.0, 549755813889.0, 549755813889.0,

  327.         };

  328. 

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

  330.         {

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

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

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

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

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

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

  337. 

  338.             lolunit_assert_equal(b0, a0);

  339.             lolunit_assert_equal(b1, a1);

  340.             lolunit_assert_equal(b2, a2);

  341.         }

  342.     }

  343. 

  344.     lolunit_declare_test(Pow)

  345.     {

  346.         double a1 = pow(-real::R_2(), real::R_2());

  347.         double b1 = 4.0;

  348.         lolunit_assert_doubles_equal(a1, b1, 1.0e-13);

  349. 

  350.         double a2 = pow(-real::R_2(), real::R_3());

  351.         double b2 = -8.0;

  352.         lolunit_assert_doubles_equal(a2, b2, 1.0e-13);

  353.     }

  354. };

  355. 

  356. } /* namespace lol */