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BigNumberUtil.h
1 /*
2  * Copyright (C) 2015 Southern Storm Software, Pty Ltd.
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4  * Permission is hereby granted, free of charge, to any person obtaining a
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13  *
14  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
15  * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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22 
23 #ifndef CRYPTO_BIGNUMBERUTIL_h
24 #define CRYPTO_BIGNUMBERUTIL_h
25 
26 #include <inttypes.h>
27 #include <stddef.h>
28 
29 // Define exactly one of these to 1 to set the size of the basic limb type.
30 // 16-bit limbs seem to give the best performance on 8-bit AVR micros.
31 #if defined(__AVR__)
32 #define BIGNUMBER_LIMB_8BIT 0
33 #define BIGNUMBER_LIMB_16BIT 1
34 #define BIGNUMBER_LIMB_32BIT 0
35 #else
36 // On all other platforms, assume 32-bit is best (e.g. ARM).
37 #define BIGNUMBER_LIMB_8BIT 0
38 #define BIGNUMBER_LIMB_16BIT 0
39 #define BIGNUMBER_LIMB_32BIT 1
40 #endif
41 
42 // Define the limb types to use on this platform.
43 #if BIGNUMBER_LIMB_8BIT
44 typedef uint8_t limb_t;
45 typedef int8_t slimb_t;
46 typedef uint16_t dlimb_t;
47 #elif BIGNUMBER_LIMB_16BIT
48 typedef uint16_t limb_t;
49 typedef int16_t slimb_t;
50 typedef uint32_t dlimb_t;
51 #elif BIGNUMBER_LIMB_32BIT
52 typedef uint32_t limb_t;
53 typedef int32_t slimb_t;
54 typedef uint64_t dlimb_t;
55 #else
56 #error "limb_t must be 8, 16, or 32 bits in size"
57 #endif
58 
60 {
61 public:
62  static void unpackLE(limb_t *limbs, size_t count,
63  const uint8_t *bytes, size_t len);
64  static void unpackBE(limb_t *limbs, size_t count,
65  const uint8_t *bytes, size_t len);
66  static void packLE(uint8_t *bytes, size_t len,
67  const limb_t *limbs, size_t count);
68  static void packBE(uint8_t *bytes, size_t len,
69  const limb_t *limbs, size_t count);
70 
71  static limb_t add(limb_t *result, const limb_t *x,
72  const limb_t *y, size_t size);
73  static limb_t sub(limb_t *result, const limb_t *x,
74  const limb_t *y, size_t size);
75  static void mul(limb_t *result, const limb_t *x, size_t xcount,
76  const limb_t *y, size_t ycount);
77  static void reduceQuick(limb_t *result, const limb_t *x,
78  const limb_t *y, size_t size);
79 
80  static limb_t add_P(limb_t *result, const limb_t *x,
81  const limb_t *y, size_t size);
82  static limb_t sub_P(limb_t *result, const limb_t *x,
83  const limb_t *y, size_t size);
84  static void mul_P(limb_t *result, const limb_t *x, size_t xcount,
85  const limb_t *y, size_t ycount);
86  static void reduceQuick_P(limb_t *result, const limb_t *x,
87  const limb_t *y, size_t size);
88 
89 private:
90  // Constructor and destructor are private - cannot instantiate this class.
91  BigNumberUtil() {}
92  ~BigNumberUtil() {}
93 };
94 
95 #endif
static void reduceQuick_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)
Reduces x modulo y using subtraction where y is in program memory.
static limb_t add(limb_t *result, const limb_t *x, const limb_t *y, size_t size)
Adds two big numbers.
static limb_t sub_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)
Subtracts one big number from another where one is in program memory.
static void reduceQuick(limb_t *result, const limb_t *x, const limb_t *y, size_t size)
Reduces x modulo y using subtraction.
static limb_t sub(limb_t *result, const limb_t *x, const limb_t *y, size_t size)
Subtracts one big number from another.
Utilities to assist with implementing big number arithmetic.
Definition: BigNumberUtil.h:59
static void mul_P(limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)
Multiplies two big numbers where one is in program memory.
static void packBE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)
Packs the big-endian byte representation of a big number into a byte array.
static void unpackLE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)
Unpacks the little-endian byte representation of a big number into a limb array.
static void mul(limb_t *result, const limb_t *x, size_t xcount, const limb_t *y, size_t ycount)
Multiplies two big numbers.
static void unpackBE(limb_t *limbs, size_t count, const uint8_t *bytes, size_t len)
Unpacks the big-endian byte representation of a big number into a limb array.
static void packLE(uint8_t *bytes, size_t len, const limb_t *limbs, size_t count)
Packs the little-endian byte representation of a big number into a byte array.
static limb_t add_P(limb_t *result, const limb_t *x, const limb_t *y, size_t size)
Adds two big numbers where one of them is in program memory.