biginteger.h

   1 /* Copyright (c) 2008 Jérémie Laval, Marine Jourdain
   2
   3  * Permission is hereby granted, free of charge, to any person obtaining a copy
   4  * of this software and associated documentation files (the "Software"), to deal
   5  * in the Software without restriction, including without limitation the rights
   6  * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
   7  * copies of the Software, and to permit persons to whom the Software is
   8  * furnished to do so, subject to the following conditions:
   9
  10  * The above copyright notice and this permission notice shall be included in
  11  * all copies or substantial portions of the Software.
  12
  13  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  14  * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  15  * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
  16  * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  17  * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
  18  * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
  19  * THE SOFTWARE.
  20  *
  21  */
  22
  23 #ifndef _BIG_INTEGER_H
  24 #define _BIG_INTEGER_H
  25
  26 // Type declaration
  27
  28 #define BASE 10000
  29
  30 typedef struct _BigUnsignedInteger {
  31   // A coefficient in base 10,000
  32   unsigned int                Value;
  33   // Next coefficient
  34   struct _BigUnsignedInteger* Next;
  35   // Previous coefficient
  36   struct _BigUnsignedInteger* Previous;
  37
  38 } BigUnsignedInteger;
  39
  40
  41 typedef enum {
  42   Negative = -1,
  43   Positive = 1,
  44   Undefined = 0
  45
  46 } Sign;
  47
  48 typedef struct {
  49   // Restricted to value -1, 0 or 1
  50   Sign                Sign;
  51   // The absolute value which is multiplied by sign to get the real integer value
  52   BigUnsignedInteger* AbsValStart; // Head
  53   BigUnsignedInteger* AbsValEnd; // Tail
  54
  55 } BigInteger;
  56
  57
  58 typedef enum {
  59   false = 0,
  60   true = 1
  61 } Boolean;
  62
  63 // End type declaration
  64
  65
  66 // Private Function Declaration
  67
  68 BigUnsignedInteger* ReturnNthNode(BigInteger*, int);
  69
  70 BigInteger CreateZeroBigInt();
  71
  72 BigUnsignedInteger* InitBUint(unsigned int);
  73
  74 void PrependNode(BigUnsignedInteger*, BigUnsignedInteger*);
  75
  76 void PushFrontNode(BigInteger*, unsigned int);
  77
  78 void PushEndNode(BigInteger*, unsigned int);
  79
  80 void InsertNode(BigInteger*, BigUnsignedInteger*, unsigned int);
  81
  82 // End Private Function Declaration
  83
  84
  85 // Public Functions declaration
  86
  87 BigInteger newBigInteger(char*);
  88
  89 void printBigInteger(BigInteger);
  90
  91 Boolean isNull(BigInteger);
  92
  93 int signBigInt(BigInteger);
  94
  95 Boolean equalsBigInt(BigInteger, BigInteger);
  96
  97 int compareBigInt(BigInteger, BigInteger);
  98
  99 BigInteger sumBigInt(BigInteger, BigInteger);
 100
 101 BigInteger diffBigInt(BigInteger, BigInteger);
 102
 103 BigInteger mulBigInt(BigInteger, BigInteger);
 104
 105 BigInteger quotientBigInt(BigInteger, BigInteger);
 106
 107 BigInteger restBigInt(BigInteger, BigInteger);
 108
 109 BigInteger gcdBigInt(BigInteger, BigInteger);
 110
 111 BigInteger lcmBigInt(BigInteger, BigInteger);
 112
 113 BigInteger factorial(unsigned long);
 114
 115 BigInteger cnp(unsigned long, unsigned long);
 116
 117 // End Public Function Declaration
 118
 119 #endif