isnan.c 6.2 KB

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  1. /* Test for NaN that does not need libm.
  2. Copyright (C) 2007-2013 Free Software Foundation, Inc.
  3. This program is free software: you can redistribute it and/or modify
  4. it under the terms of the GNU General Public License as published by
  5. the Free Software Foundation; either version 3 of the License, or
  6. (at your option) any later version.
  7. This program is distributed in the hope that it will be useful,
  8. but WITHOUT ANY WARRANTY; without even the implied warranty of
  9. MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
  10. GNU General Public License for more details.
  11. You should have received a copy of the GNU General Public License
  12. along with this program. If not, see <http://www.gnu.org/licenses/>. */
  13. /* Written by Bruno Haible <bruno@clisp.org>, 2007. */
  14. #include <config.h>
  15. /* Specification. */
  16. #ifdef USE_LONG_DOUBLE
  17. /* Specification found in math.h or isnanl-nolibm.h. */
  18. extern int rpl_isnanl (long double x) _GL_ATTRIBUTE_CONST;
  19. #elif ! defined USE_FLOAT
  20. /* Specification found in math.h or isnand-nolibm.h. */
  21. extern int rpl_isnand (double x);
  22. #else /* defined USE_FLOAT */
  23. /* Specification found in math.h or isnanf-nolibm.h. */
  24. extern int rpl_isnanf (float x);
  25. #endif
  26. #include <float.h>
  27. #include <string.h>
  28. #include "float+.h"
  29. #ifdef USE_LONG_DOUBLE
  30. # define FUNC rpl_isnanl
  31. # define DOUBLE long double
  32. # define MAX_EXP LDBL_MAX_EXP
  33. # define MIN_EXP LDBL_MIN_EXP
  34. # if defined LDBL_EXPBIT0_WORD && defined LDBL_EXPBIT0_BIT
  35. # define KNOWN_EXPBIT0_LOCATION
  36. # define EXPBIT0_WORD LDBL_EXPBIT0_WORD
  37. # define EXPBIT0_BIT LDBL_EXPBIT0_BIT
  38. # endif
  39. # define SIZE SIZEOF_LDBL
  40. # define L_(literal) literal##L
  41. #elif ! defined USE_FLOAT
  42. # define FUNC rpl_isnand
  43. # define DOUBLE double
  44. # define MAX_EXP DBL_MAX_EXP
  45. # define MIN_EXP DBL_MIN_EXP
  46. # if defined DBL_EXPBIT0_WORD && defined DBL_EXPBIT0_BIT
  47. # define KNOWN_EXPBIT0_LOCATION
  48. # define EXPBIT0_WORD DBL_EXPBIT0_WORD
  49. # define EXPBIT0_BIT DBL_EXPBIT0_BIT
  50. # endif
  51. # define SIZE SIZEOF_DBL
  52. # define L_(literal) literal
  53. #else /* defined USE_FLOAT */
  54. # define FUNC rpl_isnanf
  55. # define DOUBLE float
  56. # define MAX_EXP FLT_MAX_EXP
  57. # define MIN_EXP FLT_MIN_EXP
  58. # if defined FLT_EXPBIT0_WORD && defined FLT_EXPBIT0_BIT
  59. # define KNOWN_EXPBIT0_LOCATION
  60. # define EXPBIT0_WORD FLT_EXPBIT0_WORD
  61. # define EXPBIT0_BIT FLT_EXPBIT0_BIT
  62. # endif
  63. # define SIZE SIZEOF_FLT
  64. # define L_(literal) literal##f
  65. #endif
  66. #define EXP_MASK ((MAX_EXP - MIN_EXP) | 7)
  67. #define NWORDS \
  68. ((sizeof (DOUBLE) + sizeof (unsigned int) - 1) / sizeof (unsigned int))
  69. typedef union { DOUBLE value; unsigned int word[NWORDS]; } memory_double;
  70. int
  71. FUNC (DOUBLE x)
  72. {
  73. #ifdef KNOWN_EXPBIT0_LOCATION
  74. # if defined USE_LONG_DOUBLE && ((defined __ia64 && LDBL_MANT_DIG == 64) || (defined __x86_64__ || defined __amd64__) || (defined __i386 || defined __i386__ || defined _I386 || defined _M_IX86 || defined _X86_)) && !HAVE_SAME_LONG_DOUBLE_AS_DOUBLE
  75. /* Special CPU dependent code is needed to treat bit patterns outside the
  76. IEEE 754 specification (such as Pseudo-NaNs, Pseudo-Infinities,
  77. Pseudo-Zeroes, Unnormalized Numbers, and Pseudo-Denormals) as NaNs.
  78. These bit patterns are:
  79. - exponent = 0x0001..0x7FFF, mantissa bit 63 = 0,
  80. - exponent = 0x0000, mantissa bit 63 = 1.
  81. The NaN bit pattern is:
  82. - exponent = 0x7FFF, mantissa >= 0x8000000000000001. */
  83. memory_double m;
  84. unsigned int exponent;
  85. m.value = x;
  86. exponent = (m.word[EXPBIT0_WORD] >> EXPBIT0_BIT) & EXP_MASK;
  87. # ifdef WORDS_BIGENDIAN
  88. /* Big endian: EXPBIT0_WORD = 0, EXPBIT0_BIT = 16. */
  89. if (exponent == 0)
  90. return 1 & (m.word[0] >> 15);
  91. else if (exponent == EXP_MASK)
  92. return (((m.word[0] ^ 0x8000U) << 16) | m.word[1] | (m.word[2] >> 16)) != 0;
  93. else
  94. return 1 & ~(m.word[0] >> 15);
  95. # else
  96. /* Little endian: EXPBIT0_WORD = 2, EXPBIT0_BIT = 0. */
  97. if (exponent == 0)
  98. return (m.word[1] >> 31);
  99. else if (exponent == EXP_MASK)
  100. return ((m.word[1] ^ 0x80000000U) | m.word[0]) != 0;
  101. else
  102. return (m.word[1] >> 31) ^ 1;
  103. # endif
  104. # else
  105. /* Be careful to not do any floating-point operation on x, such as x == x,
  106. because x may be a signaling NaN. */
  107. # if defined __SUNPRO_C || defined __ICC || defined _MSC_VER \
  108. || defined __DECC || defined __TINYC__ \
  109. || (defined __sgi && !defined __GNUC__)
  110. /* The Sun C 5.0, Intel ICC 10.0, Microsoft Visual C/C++ 9.0, Compaq (ex-DEC)
  111. 6.4, and TinyCC compilers don't recognize the initializers as constant
  112. expressions. The Compaq compiler also fails when constant-folding
  113. 0.0 / 0.0 even when constant-folding is not required. The Microsoft
  114. Visual C/C++ compiler also fails when constant-folding 1.0 / 0.0 even
  115. when constant-folding is not required. The SGI MIPSpro C compiler
  116. complains about "floating-point operation result is out of range". */
  117. static DOUBLE zero = L_(0.0);
  118. memory_double nan;
  119. DOUBLE plus_inf = L_(1.0) / zero;
  120. DOUBLE minus_inf = -L_(1.0) / zero;
  121. nan.value = zero / zero;
  122. # else
  123. static memory_double nan = { L_(0.0) / L_(0.0) };
  124. static DOUBLE plus_inf = L_(1.0) / L_(0.0);
  125. static DOUBLE minus_inf = -L_(1.0) / L_(0.0);
  126. # endif
  127. {
  128. memory_double m;
  129. /* A NaN can be recognized through its exponent. But exclude +Infinity and
  130. -Infinity, which have the same exponent. */
  131. m.value = x;
  132. if (((m.word[EXPBIT0_WORD] ^ nan.word[EXPBIT0_WORD])
  133. & (EXP_MASK << EXPBIT0_BIT))
  134. == 0)
  135. return (memcmp (&m.value, &plus_inf, SIZE) != 0
  136. && memcmp (&m.value, &minus_inf, SIZE) != 0);
  137. else
  138. return 0;
  139. }
  140. # endif
  141. #else
  142. /* The configuration did not find sufficient information. Give up about
  143. the signaling NaNs, handle only the quiet NaNs. */
  144. if (x == x)
  145. {
  146. # if defined USE_LONG_DOUBLE && ((defined __ia64 && LDBL_MANT_DIG == 64) || (defined __x86_64__ || defined __amd64__) || (defined __i386 || defined __i386__ || defined _I386 || defined _M_IX86 || defined _X86_)) && !HAVE_SAME_LONG_DOUBLE_AS_DOUBLE
  147. /* Detect any special bit patterns that pass ==; see comment above. */
  148. memory_double m1;
  149. memory_double m2;
  150. memset (&m1.value, 0, SIZE);
  151. memset (&m2.value, 0, SIZE);
  152. m1.value = x;
  153. m2.value = x + (x ? 0.0L : -0.0L);
  154. if (memcmp (&m1.value, &m2.value, SIZE) != 0)
  155. return 1;
  156. # endif
  157. return 0;
  158. }
  159. else
  160. return 1;
  161. #endif
  162. }