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test_mixed.hpp

test_mixed.hpp 11 KB
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  1. ///////////////////////////////////////////////////////////////////////////////
    2. 

  2. //  Copyright 2015 John Maddock. Distributed under the Boost
    3. 

  3. //  Software License, Version 1.0. (See accompanying file
    4. 

  4. //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
    5. 

  5. 

  6. #ifndef BOOST_MATH_TEST_MIXED_HPP
    7. 

  7. #define BOOST_MATH_TEST_MIXED_HPP
    8. 

  8. 

  9. #include "test.hpp"
    10. 

  10. 

  11. template <class Big, class Small>
    12. 

  12. void test()
    13. 

  13. {
    14. 

  14.    Big big_val = 1;
    15. 

  15.    big_val += std::numeric_limits<Big>::epsilon();
    16. 

  16.    Small small_val = 1;
    17. 

  17. 

  18.    BOOST_CHECK_EQUAL(big_val == small_val, false);
    19. 

  19.    BOOST_CHECK_EQUAL(big_val <= small_val, false);
    20. 

  20.    BOOST_CHECK_EQUAL(big_val >= small_val, true);
    21. 

  21.    BOOST_CHECK_EQUAL(big_val < small_val, false);
    22. 

  22.    BOOST_CHECK_EQUAL(big_val > small_val, true);
    23. 

  23.    BOOST_CHECK_EQUAL(big_val != small_val, true);
    24. 

  24.    BOOST_CHECK_EQUAL(small_val == big_val, false);
    25. 

  25.    BOOST_CHECK_EQUAL(small_val <= big_val, true);
    26. 

  26.    BOOST_CHECK_EQUAL(small_val >= big_val, false);
    27. 

  27.    BOOST_CHECK_EQUAL(small_val < big_val, true);
    28. 

  28.    BOOST_CHECK_EQUAL(small_val > big_val, false);
    29. 

  29.    BOOST_CHECK_EQUAL(small_val != big_val, true);
    30. 

  30.    // Again with expression templates, on one the other, or both args:
    31. 

  31.    BOOST_CHECK_EQUAL(big_val == small_val * 1, false);
    32. 

  32.    BOOST_CHECK_EQUAL(big_val <= small_val * 1, false);
    33. 

  33.    BOOST_CHECK_EQUAL(big_val >= small_val * 1, true);
    34. 

  34.    BOOST_CHECK_EQUAL(big_val < small_val * 1, false);
    35. 

  35.    BOOST_CHECK_EQUAL(big_val > small_val * 1, true);
    36. 

  36.    BOOST_CHECK_EQUAL(big_val != small_val * 1, true);
    37. 

  37.    BOOST_CHECK_EQUAL(small_val * 1 == big_val, false);
    38. 

  38.    BOOST_CHECK_EQUAL(small_val * 1 <= big_val, true);
    39. 

  39.    BOOST_CHECK_EQUAL(small_val * 1 >= big_val, false);
    40. 

  40.    BOOST_CHECK_EQUAL(small_val * 1 < big_val, true);
    41. 

  41.    BOOST_CHECK_EQUAL(small_val * 1 > big_val, false);
    42. 

  42.    BOOST_CHECK_EQUAL(small_val * 1 != big_val, true);
    43. 

  43.    BOOST_CHECK_EQUAL(big_val * 1 == small_val, false);
    44. 

  44.    BOOST_CHECK_EQUAL(big_val * 1 <= small_val, false);
    45. 

  45.    BOOST_CHECK_EQUAL(big_val * 1 >= small_val, true);
    46. 

  46.    BOOST_CHECK_EQUAL(big_val * 1 < small_val, false);
    47. 

  47.    BOOST_CHECK_EQUAL(big_val * 1 > small_val, true);
    48. 

  48.    BOOST_CHECK_EQUAL(big_val * 1 != small_val, true);
    49. 

  49.    BOOST_CHECK_EQUAL(small_val == big_val * 1, false);
    50. 

  50.    BOOST_CHECK_EQUAL(small_val <= big_val * 1, true);
    51. 

  51.    BOOST_CHECK_EQUAL(small_val >= big_val * 1, false);
    52. 

  52.    BOOST_CHECK_EQUAL(small_val < big_val * 1, true);
    53. 

  53.    BOOST_CHECK_EQUAL(small_val > big_val * 1, false);
    54. 

  54.    BOOST_CHECK_EQUAL(small_val != big_val * 1, true);
    55. 

  55.    BOOST_CHECK_EQUAL(big_val * 1 == small_val * 1, false);
    56. 

  56.    BOOST_CHECK_EQUAL(big_val * 1 <= small_val * 1, false);
    57. 

  57.    BOOST_CHECK_EQUAL(big_val * 1 >= small_val * 1, true);
    58. 

  58.    BOOST_CHECK_EQUAL(big_val * 1 < small_val * 1, false);
    59. 

  59.    BOOST_CHECK_EQUAL(big_val * 1 > small_val * 1, true);
    60. 

  60.    BOOST_CHECK_EQUAL(big_val * 1 != small_val * 1, true);
    61. 

  61.    BOOST_CHECK_EQUAL(small_val * 1 == big_val * 1, false);
    62. 

  62.    BOOST_CHECK_EQUAL(small_val * 1 <= big_val * 1, true);
    63. 

  63.    BOOST_CHECK_EQUAL(small_val * 1 >= big_val * 1, false);
    64. 

  64.    BOOST_CHECK_EQUAL(small_val * 1 < big_val * 1, true);
    65. 

  65.    BOOST_CHECK_EQUAL(small_val * 1 > big_val * 1, false);
    66. 

  66.    BOOST_CHECK_EQUAL(small_val * 1 != big_val * 1, true);
    67. 

  67. 

  68.    BOOST_CHECK_EQUAL(small_val + big_val, Big(small_val) + big_val);
    69. 

  69.    BOOST_CHECK_EQUAL(small_val - big_val, Big(small_val) - big_val);
    70. 

  70.    BOOST_CHECK_EQUAL(small_val * big_val, Big(small_val) * big_val);
    71. 

  71.    BOOST_CHECK_EQUAL(small_val / big_val, Big(small_val) / big_val);
    72. 

  72.    BOOST_CHECK_EQUAL(big_val + small_val, big_val + Big(small_val));
    73. 

  73.    BOOST_CHECK_EQUAL(big_val - small_val, big_val - Big(small_val));
    74. 

  74.    BOOST_CHECK_EQUAL(big_val * small_val, big_val * Big(small_val));
    75. 

  75.    BOOST_CHECK_EQUAL(big_val / small_val, big_val / Big(small_val));
    76. 

  76.    // Again with expression templates, on one the other, or both args:
    77. 

  77.    BOOST_CHECK_EQUAL(small_val + (big_val * 1), Big(small_val) + (big_val * 1));
    78. 

  78.    BOOST_CHECK_EQUAL(small_val - (big_val * 1), Big(small_val) - (big_val * 1));
    79. 

  79.    BOOST_CHECK_EQUAL(small_val * (big_val * 1), Big(small_val) * (big_val * 1));
    80. 

  80.    BOOST_CHECK_EQUAL(small_val / (big_val * 1), Big(small_val) / (big_val * 1));
    81. 

  81.    BOOST_CHECK_EQUAL((big_val * 1) + small_val, (big_val * 1) + Big(small_val));
    82. 

  82.    BOOST_CHECK_EQUAL((big_val * 1) - small_val, (big_val * 1) - Big(small_val));
    83. 

  83.    BOOST_CHECK_EQUAL((big_val * 1) * small_val, (big_val * 1) * Big(small_val));
    84. 

  84.    BOOST_CHECK_EQUAL((big_val * 1) / small_val, (big_val * 1) / Big(small_val));
    85. 

  85.    BOOST_CHECK_EQUAL((small_val * 1) + big_val, Big((small_val * 1)) + big_val);
    86. 

  86.    BOOST_CHECK_EQUAL((small_val * 1) - big_val, Big((small_val * 1)) - big_val);
    87. 

  87.    BOOST_CHECK_EQUAL((small_val * 1) * big_val, Big((small_val * 1)) * big_val);
    88. 

  88.    BOOST_CHECK_EQUAL((small_val * 1) / big_val, Big((small_val * 1)) / big_val);
    89. 

  89.    BOOST_CHECK_EQUAL(big_val + (small_val * 1), big_val + Big((small_val * 1)));
    90. 

  90.    BOOST_CHECK_EQUAL(big_val - (small_val * 1), big_val - Big((small_val * 1)));
    91. 

  91.    BOOST_CHECK_EQUAL(big_val * (small_val * 1), big_val * Big((small_val * 1)));
    92. 

  92.    BOOST_CHECK_EQUAL(big_val / (small_val * 1), big_val / Big((small_val * 1)));
    93. 

  93.    BOOST_CHECK_EQUAL((small_val * 1) + (big_val * 1), Big((small_val * 1)) + (big_val * 1));
    94. 

  94.    BOOST_CHECK_EQUAL((small_val * 1) - (big_val * 1), Big((small_val * 1)) - (big_val * 1));
    95. 

  95.    BOOST_CHECK_EQUAL((small_val * 1) * (big_val * 1), Big((small_val * 1)) * (big_val * 1));
    96. 

  96.    BOOST_CHECK_EQUAL((small_val * 1) / (big_val * 1), Big((small_val * 1)) / (big_val * 1));
    97. 

  97.    BOOST_CHECK_EQUAL((big_val * 1) + (small_val * 1), (big_val * 1) + Big((small_val * 1)));
    98. 

  98.    BOOST_CHECK_EQUAL((big_val * 1) - (small_val * 1), (big_val * 1) - Big((small_val * 1)));
    99. 

  99.    BOOST_CHECK_EQUAL((big_val * 1) * (small_val * 1), (big_val * 1) * Big((small_val * 1)));
    100. 

  100.    BOOST_CHECK_EQUAL((big_val * 1) / (small_val * 1), (big_val * 1) / Big((small_val * 1)));
    101. 

  101. 

  102.    big_val = 1;
    103. 

  103.    big_val -= std::numeric_limits<Big>::epsilon();
    104. 

  104. 

  105.    BOOST_CHECK_EQUAL(big_val == small_val, false);
    106. 

  106.    BOOST_CHECK_EQUAL(big_val <= small_val, true);
    107. 

  107.    BOOST_CHECK_EQUAL(big_val >= small_val, false);
    108. 

  108.    BOOST_CHECK_EQUAL(big_val < small_val, true);
    109. 

  109.    BOOST_CHECK_EQUAL(big_val > small_val, false);
    110. 

  110.    BOOST_CHECK_EQUAL(big_val != small_val, true);
    111. 

  111.    BOOST_CHECK_EQUAL(small_val == big_val, false);
    112. 

  112.    BOOST_CHECK_EQUAL(small_val <= big_val, false);
    113. 

  113.    BOOST_CHECK_EQUAL(small_val >= big_val, true);
    114. 

  114.    BOOST_CHECK_EQUAL(small_val < big_val, false);
    115. 

  115.    BOOST_CHECK_EQUAL(small_val > big_val, true);
    116. 

  116.    BOOST_CHECK_EQUAL(small_val != big_val, true);
    117. 

  117.    // Again with expression templates, on one the other, or both args:
    118. 

  118.    BOOST_CHECK_EQUAL(big_val == small_val * 1, false);
    119. 

  119.    BOOST_CHECK_EQUAL(big_val <= small_val * 1, true);
    120. 

  120.    BOOST_CHECK_EQUAL(big_val >= small_val * 1, false);
    121. 

  121.    BOOST_CHECK_EQUAL(big_val < small_val * 1, true);
    122. 

  122.    BOOST_CHECK_EQUAL(big_val > small_val * 1, false);
    123. 

  123.    BOOST_CHECK_EQUAL(big_val != small_val * 1, true);
    124. 

  124.    BOOST_CHECK_EQUAL(small_val * 1 == big_val, false);
    125. 

  125.    BOOST_CHECK_EQUAL(small_val * 1 <= big_val, false);
    126. 

  126.    BOOST_CHECK_EQUAL(small_val * 1 >= big_val, true);
    127. 

  127.    BOOST_CHECK_EQUAL(small_val * 1 < big_val, false);
    128. 

  128.    BOOST_CHECK_EQUAL(small_val * 1 > big_val, true);
    129. 

  129.    BOOST_CHECK_EQUAL(small_val * 1 != big_val, true);
    130. 

  130.    BOOST_CHECK_EQUAL(big_val * 1 == small_val, false);
    131. 

  131.    BOOST_CHECK_EQUAL(big_val * 1 <= small_val, true);
    132. 

  132.    BOOST_CHECK_EQUAL(big_val * 1 >= small_val, false);
    133. 

  133.    BOOST_CHECK_EQUAL(big_val * 1 < small_val, true);
    134. 

  134.    BOOST_CHECK_EQUAL(big_val * 1 > small_val, false);
    135. 

  135.    BOOST_CHECK_EQUAL(big_val * 1 != small_val, true);
    136. 

  136.    BOOST_CHECK_EQUAL(small_val == big_val * 1, false);
    137. 

  137.    BOOST_CHECK_EQUAL(small_val <= big_val * 1, false);
    138. 

  138.    BOOST_CHECK_EQUAL(small_val >= big_val * 1, true);
    139. 

  139.    BOOST_CHECK_EQUAL(small_val < big_val * 1, false);
    140. 

  140.    BOOST_CHECK_EQUAL(small_val > big_val * 1, true);
    141. 

  141.    BOOST_CHECK_EQUAL(small_val != big_val * 1, true);
    142. 

  142.    BOOST_CHECK_EQUAL(big_val * 1 == small_val * 1, false);
    143. 

  143.    BOOST_CHECK_EQUAL(big_val * 1 <= small_val * 1, true);
    144. 

  144.    BOOST_CHECK_EQUAL(big_val * 1 >= small_val * 1, false);
    145. 

  145.    BOOST_CHECK_EQUAL(big_val * 1 < small_val * 1, true);
    146. 

  146.    BOOST_CHECK_EQUAL(big_val * 1 > small_val * 1, false);
    147. 

  147.    BOOST_CHECK_EQUAL(big_val * 1 != small_val * 1, true);
    148. 

  148.    BOOST_CHECK_EQUAL(small_val * 1 == big_val * 1, false);
    149. 

  149.    BOOST_CHECK_EQUAL(small_val * 1 <= big_val * 1, false);
    150. 

  150.    BOOST_CHECK_EQUAL(small_val * 1 >= big_val * 1, true);
    151. 

  151.    BOOST_CHECK_EQUAL(small_val * 1 < big_val * 1, false);
    152. 

  152.    BOOST_CHECK_EQUAL(small_val * 1 > big_val * 1, true);
    153. 

  153.    BOOST_CHECK_EQUAL(small_val * 1 != big_val * 1, true);
    154. 

  154. 

  155.    BOOST_CHECK_EQUAL(small_val + big_val, Big(small_val) + big_val);
    156. 

  156.    BOOST_CHECK_EQUAL(small_val - big_val, Big(small_val) - big_val);
    157. 

  157.    BOOST_CHECK_EQUAL(small_val * big_val, Big(small_val) * big_val);
    158. 

  158.    BOOST_CHECK_EQUAL(small_val / big_val, Big(small_val) / big_val);
    159. 

  159.    BOOST_CHECK_EQUAL(big_val + small_val, big_val + Big(small_val));
    160. 

  160.    BOOST_CHECK_EQUAL(big_val - small_val, big_val - Big(small_val));
    161. 

  161.    BOOST_CHECK_EQUAL(big_val * small_val, big_val * Big(small_val));
    162. 

  162.    BOOST_CHECK_EQUAL(big_val / small_val, big_val / Big(small_val));
    163. 

  163.    // Again with expression templates, on one the other, or both args:
    164. 

  164.    BOOST_CHECK_EQUAL(small_val + (big_val * 1), Big(small_val) + (big_val * 1));
    165. 

  165.    BOOST_CHECK_EQUAL(small_val - (big_val * 1), Big(small_val) - (big_val * 1));
    166. 

  166.    BOOST_CHECK_EQUAL(small_val * (big_val * 1), Big(small_val) * (big_val * 1));
    167. 

  167.    BOOST_CHECK_EQUAL(small_val / (big_val * 1), Big(small_val) / (big_val * 1));
    168. 

  168.    BOOST_CHECK_EQUAL((big_val * 1) + small_val, (big_val * 1) + Big(small_val));
    169. 

  169.    BOOST_CHECK_EQUAL((big_val * 1) - small_val, (big_val * 1) - Big(small_val));
    170. 

  170.    BOOST_CHECK_EQUAL((big_val * 1) * small_val, (big_val * 1) * Big(small_val));
    171. 

  171.    BOOST_CHECK_EQUAL((big_val * 1) / small_val, (big_val * 1) / Big(small_val));
    172. 

  172.    BOOST_CHECK_EQUAL((small_val * 1) + big_val, Big((small_val * 1)) + big_val);
    173. 

  173.    BOOST_CHECK_EQUAL((small_val * 1) - big_val, Big((small_val * 1)) - big_val);
    174. 

  174.    BOOST_CHECK_EQUAL((small_val * 1) * big_val, Big((small_val * 1)) * big_val);
    175. 

  175.    BOOST_CHECK_EQUAL((small_val * 1) / big_val, Big((small_val * 1)) / big_val);
    176. 

  176.    BOOST_CHECK_EQUAL(big_val + (small_val * 1), big_val + Big((small_val * 1)));
    177. 

  177.    BOOST_CHECK_EQUAL(big_val - (small_val * 1), big_val - Big((small_val * 1)));
    178. 

  178.    BOOST_CHECK_EQUAL(big_val * (small_val * 1), big_val * Big((small_val * 1)));
    179. 

  179.    BOOST_CHECK_EQUAL(big_val / (small_val * 1), big_val / Big((small_val * 1)));
    180. 

  180.    BOOST_CHECK_EQUAL((small_val * 1) + (big_val * 1), Big((small_val * 1)) + (big_val * 1));
    181. 

  181.    BOOST_CHECK_EQUAL((small_val * 1) - (big_val * 1), Big((small_val * 1)) - (big_val * 1));
    182. 

  182.    BOOST_CHECK_EQUAL((small_val * 1) * (big_val * 1), Big((small_val * 1)) * (big_val * 1));
    183. 

  183.    BOOST_CHECK_EQUAL((small_val * 1) / (big_val * 1), Big((small_val * 1)) / (big_val * 1));
    184. 

  184.    BOOST_CHECK_EQUAL((big_val * 1) + (small_val * 1), (big_val * 1) + Big((small_val * 1)));
    185. 

  185.    BOOST_CHECK_EQUAL((big_val * 1) - (small_val * 1), (big_val * 1) - Big((small_val * 1)));
    186. 

  186.    BOOST_CHECK_EQUAL((big_val * 1) * (small_val * 1), (big_val * 1) * Big((small_val * 1)));
    187. 

  187.    BOOST_CHECK_EQUAL((big_val * 1) / (small_val * 1), (big_val * 1) / Big((small_val * 1)));
    188. 

  188. }
    189. 

  189. 

  190. #endif // BOOST_MATH_TEST_MIXED_HPP
    191.