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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 #define BIGNUMBER_LIMB_8BIT 0
32 #define BIGNUMBER_LIMB_16BIT 1
33 #define BIGNUMBER_LIMB_32BIT 0
34 
35 // Define the limb types to use on this platform.
36 #if BIGNUMBER_LIMB_8BIT
37 typedef uint8_t limb_t;
38 typedef int8_t slimb_t;
39 typedef uint16_t dlimb_t;
40 #elif BIGNUMBER_LIMB_16BIT
41 typedef uint16_t limb_t;
42 typedef int16_t slimb_t;
43 typedef uint32_t dlimb_t;
44 #elif BIGNUMBER_LIMB_32BIT
45 typedef uint32_t limb_t;
46 typedef int32_t slimb_t;
47 typedef uint64_t dlimb_t;
48 #else
49 #error "limb_t must be 8, 16, or 32 bits in size"
50 #endif
51 
53 {
54 public:
55  static void unpackLE(limb_t *limbs, size_t count,
56  const uint8_t *bytes, size_t len);
57  static void unpackBE(limb_t *limbs, size_t count,
58  const uint8_t *bytes, size_t len);
59  static void packLE(uint8_t *bytes, size_t len,
60  const limb_t *limbs, size_t count);
61  static void packBE(uint8_t *bytes, size_t len,
62  const limb_t *limbs, size_t count);
63 
64  static limb_t add(limb_t *result, const limb_t *x,
65  const limb_t *y, size_t size);
66  static limb_t sub(limb_t *result, const limb_t *x,
67  const limb_t *y, size_t size);
68  static void mul(limb_t *result, const limb_t *x, size_t xcount,
69  const limb_t *y, size_t ycount);
70  static void reduceQuick(limb_t *result, const limb_t *x,
71  const limb_t *y, size_t size);
72 
73  static limb_t add_P(limb_t *result, const limb_t *x,
74  const limb_t *y, size_t size);
75  static limb_t sub_P(limb_t *result, const limb_t *x,
76  const limb_t *y, size_t size);
77  static void mul_P(limb_t *result, const limb_t *x, size_t xcount,
78  const limb_t *y, size_t ycount);
79  static void reduceQuick_P(limb_t *result, const limb_t *x,
80  const limb_t *y, size_t size);
81 
82 private:
83  // Constructor and destructor are private - cannot instantiate this class.
84  BigNumberUtil() {}
85  ~BigNumberUtil() {}
86 };
87 
88 #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:52
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.