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1 /* Copyright (c) 1998,2011,2014 Apple Inc. All Rights Reserved.
2 *
3 * NOTICE: USE OF THE MATERIALS ACCOMPANYING THIS NOTICE IS SUBJECT
4 * TO THE TERMS OF THE SIGNED "FAST ELLIPTIC ENCRYPTION (FEE) REFERENCE
5 * SOURCE CODE EVALUATION AGREEMENT" BETWEEN APPLE, INC. AND THE
6 * ORIGINAL LICENSEE THAT OBTAINED THESE MATERIALS FROM APPLE,
7 * INC. ANY USE OF THESE MATERIALS NOT PERMITTED BY SUCH AGREEMENT WILL
8 * EXPOSE YOU TO LIABILITY.
9 ***************************************************************************
10 *
11 * giantPort_Generic.h - Generic giant definitions routines, used when
12 * no platform-specific version is available.
13 *
14 * Revision History
15 * ----------------
16 * 06 Apr 1998 at Apple
17 * Created.
18 */
19
20 #ifndef _CK_NSGIANT_PORT_GENERIC_H_
21 #define _CK_NSGIANT_PORT_GENERIC_H_
22
23 #include "feeDebug.h"
24 #include "platform.h"
25 #include "giantIntegers.h"
26
27 #ifdef __cplusplus
28 extern "C" {
29 #endif
30
31 /*
32 * We'll be using the compiler's 64-bit long long for these routines.
33 *
34 * Mask for upper word.
35 */
36 #define GIANT_UPPER_DIGIT_MASK (~(unsigned long long(GIANT_DIGIT_MASK)))
37
38 /*
39 * Multiple-precision arithmetic routines/macros.
40 */
41
42 /*
43 * Add two digits, return sum. Carry bit returned as an out parameter.
44 * This should work any size giantDigits up to unsigned int.
45 */
46 static inline giantDigit giantAddDigits(
47 giantDigit dig1,
48 giantDigit dig2,
49 giantDigit *carry) /* RETURNED, 0 or 1 */
50 {
51 giantDigit sum = dig1 + dig2;
52
53 if((sum < dig1) || (sum < dig2)) {
54 *carry = 1;
55 }
56 else {
57 *carry = 0;
58 }
59 return sum & GIANT_DIGIT_MASK;
60 }
61
62 /*
63 * Add a single digit value to a double digit accumulator in place.
64 * Carry out of the MSD of the accumulator is not handled.
65 * This should work any size giantDigits up to unsigned int.
66 */
67 static inline void giantAddDouble(
68 giantDigit *accLow, /* IN/OUT */
69 giantDigit *accHigh, /* IN/OUT */
70 giantDigit val)
71 {
72 giantDigit sumLo = *accLow + val;
73
74 if((sumLo < *accLow) || (sumLo < val)) {
75 (*accHigh)++;
76 #if FEE_DEBUG
77 if(*accHigh == 0) {
78 CKRaise("giantAddDouble overflow");
79 }
80 #endif /* FEE_DEBUG */
81 }
82 *accLow = sumLo;
83 }
84
85 /*
86 * Subtract a - b, return difference. Borrow bit returned as an out parameter.
87 * This should work any size giantDigits up to unsigned int.
88 */
89 static inline giantDigit giantSubDigits(
90 giantDigit a,
91 giantDigit b,
92 giantDigit *borrow) /* RETURNED, 0 or 1 */
93 {
94 giantDigit diff = a - b;
95
96 if(a < b) {
97 *borrow = 1;
98 }
99 else {
100 *borrow = 0;
101 }
102 return diff;
103 }
104
105 /*
106 * Multiply two digits, return two digits.
107 * This should work for 16 or 32 bit giantDigits, though it's kind of
108 * inefficient for 16 bits.
109 */
110 static inline void giantMulDigits(
111 giantDigit dig1,
112 giantDigit dig2,
113 giantDigit *lowProduct, /* RETURNED, low digit */
114 giantDigit *hiProduct) /* RETURNED, high digit */
115 {
116 unsigned long long dprod;
117
118 dprod = (unsigned long long)dig1 * (unsigned long long)dig2;
119 *hiProduct = (giantDigit)(dprod >> GIANT_BITS_PER_DIGIT);
120 *lowProduct = (giantDigit)dprod;
121 }
122
123 /*
124 * Multiply a vector of giantDigits, candVector, by a single giantDigit,
125 * plierDigit, adding results into prodVector. Returns m.s. digit from
126 * final multiply; only candLength digits of *prodVector will be written.
127 */
128 static inline giantDigit VectorMultiply(
129 giantDigit plierDigit,
130 giantDigit *candVector,
131 unsigned candLength,
132 giantDigit *prodVector)
133 {
134 unsigned candDex; // index into multiplicandVector
135 giantDigit lastCarry = 0;
136 giantDigit prodLo;
137 giantDigit prodHi;
138
139 for(candDex=0; candDex<candLength; ++candDex) {
140 /*
141 * prod = *(candVector++) * plierDigit + *prodVector + lastCarry
142 */
143 giantMulDigits(*(candVector++),
144 plierDigit,
145 &prodLo,
146 &prodHi);
147 giantAddDouble(&prodLo, &prodHi, *prodVector);
148 giantAddDouble(&prodLo, &prodHi, lastCarry);
149
150 /*
151 * *(destptr++) = prodHi;
152 * lastCarry = prodLo;
153 */
154 *(prodVector++) = prodLo;
155 lastCarry = prodHi;
156 }
157
158 return lastCarry;
159 }
160
161 #ifdef __cplusplus
162 extern "C" {
163 #endif
164
165 #endif /*_CK_NSGIANT_PORT_GENERIC_H_*/