decNumber.h 11 KB

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  1. /* ------------------------------------------------------------------ */
  2. /* Decimal Number arithmetic module header */
  3. /* ------------------------------------------------------------------ */
  4. /* Copyright (c) IBM Corporation, 2000, 2010. All rights reserved. */
  5. /* */
  6. /* This software is made available under the terms of the */
  7. /* ICU License -- ICU 1.8.1 and later. */
  8. /* */
  9. /* The description and User's Guide ("The decNumber C Library") for */
  10. /* this software is called decNumber.pdf. This document is */
  11. /* available, together with arithmetic and format specifications, */
  12. /* testcases, and Web links, on the General Decimal Arithmetic page. */
  13. /* */
  14. /* Please send comments, suggestions, and corrections to the author: */
  15. /* [email protected] */
  16. /* Mike Cowlishaw, IBM Fellow */
  17. /* IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK */
  18. /* ------------------------------------------------------------------ */
  19. #if !defined(DECNUMBER)
  20. #define DECNUMBER
  21. #define DECNAME "decNumber" /* Short name */
  22. #define DECFULLNAME "Decimal Number Module" /* Verbose name */
  23. #define DECAUTHOR "Mike Cowlishaw" /* Who to blame */
  24. #if !defined(DECCONTEXT)
  25. #include "decContext.h"
  26. #endif
  27. /* Bit settings for decNumber.bits */
  28. #define DECNEG 0x80 /* Sign; 1=negative, 0=positive or zero */
  29. #define DECINF 0x40 /* 1=Infinity */
  30. #define DECNAN 0x20 /* 1=NaN */
  31. #define DECSNAN 0x10 /* 1=sNaN */
  32. /* The remaining bits are reserved; they must be 0 */
  33. #define DECSPECIAL (DECINF|DECNAN|DECSNAN) /* any special value */
  34. /* Define the decNumber data structure. The size and shape of the */
  35. /* units array in the structure is determined by the following */
  36. /* constant. This must not be changed without recompiling the */
  37. /* decNumber library modules. */
  38. #define DECDPUN 3 /* DECimal Digits Per UNit [must be >0 */
  39. /* and <10; 3 or powers of 2 are best]. */
  40. /* DECNUMDIGITS is the default number of digits that can be held in */
  41. /* the structure. If undefined, 1 is assumed and it is assumed */
  42. /* that the structure will be immediately followed by extra space, */
  43. /* as required. DECNUMDIGITS is always >0. */
  44. #if !defined(DECNUMDIGITS)
  45. #define DECNUMDIGITS 1
  46. #endif
  47. /* The size (integer data type) of each unit is determined by the */
  48. /* number of digits it will hold. */
  49. #if DECDPUN<=2
  50. #define decNumberUnit uint8_t
  51. #elif DECDPUN<=4
  52. #define decNumberUnit uint16_t
  53. #else
  54. #define decNumberUnit uint32_t
  55. #endif
  56. /* The number of units needed is ceil(DECNUMDIGITS/DECDPUN) */
  57. #define DECNUMUNITS ((DECNUMDIGITS+DECDPUN-1)/DECDPUN)
  58. /* The data structure... */
  59. typedef struct {
  60. int32_t digits; /* Count of digits in the coefficient; >0 */
  61. int32_t exponent; /* Unadjusted exponent, unbiased, in */
  62. /* range: -1999999997 through 999999999 */
  63. uint8_t bits; /* Indicator bits (see above) */
  64. /* Coefficient, from least significant unit */
  65. decNumberUnit lsu[DECNUMUNITS];
  66. } decNumber;
  67. /* Notes: */
  68. /* 1. If digits is > DECDPUN then there will one or more */
  69. /* decNumberUnits immediately following the first element of lsu.*/
  70. /* These contain the remaining (more significant) digits of the */
  71. /* number, and may be in the lsu array, or may be guaranteed by */
  72. /* some other mechanism (such as being contained in another */
  73. /* structure, or being overlaid on dynamically allocated */
  74. /* storage). */
  75. /* */
  76. /* Each integer of the coefficient (except potentially the last) */
  77. /* contains DECDPUN digits (e.g., a value in the range 0 through */
  78. /* 99999999 if DECDPUN is 8, or 0 through 999 if DECDPUN is 3). */
  79. /* */
  80. /* 2. A decNumber converted to a string may need up to digits+14 */
  81. /* characters. The worst cases (non-exponential and exponential */
  82. /* formats) are -0.00000{9...}# and -9.{9...}E+999999999# */
  83. /* (where # is '\0') */
  84. /* ---------------------------------------------------------------- */
  85. /* decNumber public functions and macros */
  86. /* ---------------------------------------------------------------- */
  87. /* Conversions */
  88. decNumber * decNumberFromInt32(decNumber *, int32_t);
  89. decNumber * decNumberFromUInt32(decNumber *, uint32_t);
  90. decNumber * decNumberFromString(decNumber *, const char *, decContext *);
  91. char * decNumberToString(const decNumber *, char *);
  92. char * decNumberToEngString(const decNumber *, char *);
  93. uint32_t decNumberToUInt32(const decNumber *, decContext *);
  94. int32_t decNumberToInt32(const decNumber *, decContext *);
  95. uint8_t * decNumberGetBCD(const decNumber *, uint8_t *);
  96. decNumber * decNumberSetBCD(decNumber *, const uint8_t *, uint32_t);
  97. /* Operators and elementary functions */
  98. decNumber * decNumberAbs(decNumber *, const decNumber *, decContext *);
  99. decNumber * decNumberAdd(decNumber *, const decNumber *, const decNumber *, decContext *);
  100. decNumber * decNumberAnd(decNumber *, const decNumber *, const decNumber *, decContext *);
  101. decNumber * decNumberCompare(decNumber *, const decNumber *, const decNumber *, decContext *);
  102. decNumber * decNumberCompareSignal(decNumber *, const decNumber *, const decNumber *, decContext *);
  103. decNumber * decNumberCompareTotal(decNumber *, const decNumber *, const decNumber *, decContext *);
  104. decNumber * decNumberCompareTotalMag(decNumber *, const decNumber *, const decNumber *, decContext *);
  105. decNumber * decNumberDivide(decNumber *, const decNumber *, const decNumber *, decContext *);
  106. decNumber * decNumberDivideInteger(decNumber *, const decNumber *, const decNumber *, decContext *);
  107. decNumber * decNumberExp(decNumber *, const decNumber *, decContext *);
  108. decNumber * decNumberFMA(decNumber *, const decNumber *, const decNumber *, const decNumber *, decContext *);
  109. decNumber * decNumberInvert(decNumber *, const decNumber *, decContext *);
  110. decNumber * decNumberLn(decNumber *, const decNumber *, decContext *);
  111. decNumber * decNumberLogB(decNumber *, const decNumber *, decContext *);
  112. decNumber * decNumberLog10(decNumber *, const decNumber *, decContext *);
  113. decNumber * decNumberMax(decNumber *, const decNumber *, const decNumber *, decContext *);
  114. decNumber * decNumberMaxMag(decNumber *, const decNumber *, const decNumber *, decContext *);
  115. decNumber * decNumberMin(decNumber *, const decNumber *, const decNumber *, decContext *);
  116. decNumber * decNumberMinMag(decNumber *, const decNumber *, const decNumber *, decContext *);
  117. decNumber * decNumberMinus(decNumber *, const decNumber *, decContext *);
  118. decNumber * decNumberMultiply(decNumber *, const decNumber *, const decNumber *, decContext *);
  119. decNumber * decNumberNormalize(decNumber *, const decNumber *, decContext *);
  120. decNumber * decNumberOr(decNumber *, const decNumber *, const decNumber *, decContext *);
  121. decNumber * decNumberPlus(decNumber *, const decNumber *, decContext *);
  122. decNumber * decNumberPower(decNumber *, const decNumber *, const decNumber *, decContext *);
  123. decNumber * decNumberQuantize(decNumber *, const decNumber *, const decNumber *, decContext *);
  124. decNumber * decNumberReduce(decNumber *, const decNumber *, decContext *);
  125. decNumber * decNumberRemainder(decNumber *, const decNumber *, const decNumber *, decContext *);
  126. decNumber * decNumberRemainderNear(decNumber *, const decNumber *, const decNumber *, decContext *);
  127. decNumber * decNumberRescale(decNumber *, const decNumber *, const decNumber *, decContext *);
  128. decNumber * decNumberRotate(decNumber *, const decNumber *, const decNumber *, decContext *);
  129. decNumber * decNumberSameQuantum(decNumber *, const decNumber *, const decNumber *);
  130. decNumber * decNumberScaleB(decNumber *, const decNumber *, const decNumber *, decContext *);
  131. decNumber * decNumberShift(decNumber *, const decNumber *, const decNumber *, decContext *);
  132. decNumber * decNumberSquareRoot(decNumber *, const decNumber *, decContext *);
  133. decNumber * decNumberSubtract(decNumber *, const decNumber *, const decNumber *, decContext *);
  134. decNumber * decNumberToIntegralExact(decNumber *, const decNumber *, decContext *);
  135. decNumber * decNumberToIntegralValue(decNumber *, const decNumber *, decContext *);
  136. decNumber * decNumberXor(decNumber *, const decNumber *, const decNumber *, decContext *);
  137. /* Utilities */
  138. enum decClass decNumberClass(const decNumber *, decContext *);
  139. const char * decNumberClassToString(enum decClass);
  140. decNumber * decNumberCopy(decNumber *, const decNumber *);
  141. decNumber * decNumberCopyAbs(decNumber *, const decNumber *);
  142. decNumber * decNumberCopyNegate(decNumber *, const decNumber *);
  143. decNumber * decNumberCopySign(decNumber *, const decNumber *, const decNumber *);
  144. decNumber * decNumberNextMinus(decNumber *, const decNumber *, decContext *);
  145. decNumber * decNumberNextPlus(decNumber *, const decNumber *, decContext *);
  146. decNumber * decNumberNextToward(decNumber *, const decNumber *, const decNumber *, decContext *);
  147. decNumber * decNumberTrim(decNumber *);
  148. const char * decNumberVersion(void);
  149. decNumber * decNumberZero(decNumber *);
  150. /* Functions for testing decNumbers (normality depends on context) */
  151. int32_t decNumberIsNormal(const decNumber *, decContext *);
  152. int32_t decNumberIsSubnormal(const decNumber *, decContext *);
  153. /* Macros for testing decNumber *dn */
  154. #define decNumberIsCanonical(dn) (1) /* All decNumbers are saintly */
  155. #define decNumberIsFinite(dn) (((dn)->bits&DECSPECIAL)==0)
  156. #define decNumberIsInfinite(dn) (((dn)->bits&DECINF)!=0)
  157. #define decNumberIsNaN(dn) (((dn)->bits&(DECNAN|DECSNAN))!=0)
  158. #define decNumberIsNegative(dn) (((dn)->bits&DECNEG)!=0)
  159. #define decNumberIsQNaN(dn) (((dn)->bits&(DECNAN))!=0)
  160. #define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0)
  161. #define decNumberIsSpecial(dn) (((dn)->bits&DECSPECIAL)!=0)
  162. #define decNumberIsZero(dn) (*(dn)->lsu==0 \
  163. && (dn)->digits==1 \
  164. && (((dn)->bits&DECSPECIAL)==0))
  165. #define decNumberRadix(dn) (10)
  166. #endif