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1 /*############################################################################
2 # Copyright 2017 Intel Corporation
3 #
4 # Licensed under the Apache License, Version 2.0 (the "License");
5 # you may not use this file except in compliance with the License.
6 # You may obtain a copy of the License at
7 #
8 #     http://www.apache.org/licenses/LICENSE-2.0
9 #
10 # Unless required by applicable law or agreed to in writing, software
11 # distributed under the License is distributed on an "AS IS" BASIS,
12 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13 # See the License for the specific language governing permissions and
14 # limitations under the License.
15 ############################################################################*/
16 /// Definition of Fq math
17 /*! \file */
18 
19 #ifndef EPID_MEMBER_TINY_MATH_FQ_H_
20 #define EPID_MEMBER_TINY_MATH_FQ_H_
21 
22 #include <stddef.h>
23 #include <stdint.h>
24 #include "epid/common/bitsupplier.h"
25 
26 /// \cond
27 typedef struct FqElem FqElem;
28 typedef struct VeryLargeInt VeryLargeInt;
29 /// \endcond
30 
31 /// Test if an element is in Fq.
32 /*!
33 \param[in] in the element to test.
34 \returns A value different from zero (i.e., true) indeed
35          the value is in the field. Zero (i.e., false) otherwise.
36 */
37 int FqInField(FqElem const* in);
38 
39 /// Add two elements of Fq.
40 /*!
41 \param[out] result of adding left and right.
42 \param[in] left The first operand to be added.
43 \param[in] right The second operand to be added.
44 */
45 void FqAdd(FqElem* result, FqElem const* left, FqElem const* right);
46 
47 /// Subtract two elements of Fq.
48 /*!
49 \param[out] result of subtracting left from right.
50 \param[in] left The operand to be subtracted from.
51 \param[in] right The operand to subtract.
52 */
53 void FqSub(FqElem* result, FqElem const* left, FqElem const* right);
54 
55 /// Multiply two elements of Fq.
56 /*!
57 \param[out] result of multiplying left and right.
58 \param[in] left The first operand to be multiplied.
59 \param[in] right The second operand to be multiplied.
60 */
61 void FqMul(FqElem* result, FqElem const* left, FqElem const* right);
62 
63 /// Exponentiate an element of Fq by a large integer.
64 /*!
65 \param[out] result target.
66 \param[in] base the base.
67 \param[in] exp the exponent.
68 */
69 void FqExp(FqElem* result, FqElem const* base, VeryLargeInt const* exp);
70 
71 /// Copy an element's value
72 /*!
73 \param[out] result copy target.
74 \param[in] in copy source.
75 */
76 void FqCp(FqElem* result, FqElem const* in);
77 
78 /// Test if an element is zero.
79 /*!
80 \param[in] value the element to test.
81 \returns A value different from zero (i.e., true) if indeed
82          the value is zero. Zero (i.e., false) otherwise.
83 */
84 int FqIsZero(FqElem const* value);
85 
86 /// Invert an element of Fq.
87 /*!
88 \param[out] result the inverse of the element.
89 \param[in] in the element to invert.
90 */
91 void FqInv(FqElem* result, FqElem const* in);
92 
93 /// Negate an element of Fq.
94 /*!
95 This function was formerly called as FqConst.
96 
97 \param[out] result the negative of the element.
98 \param[in] in the element to negate.
99 */
100 void FqNeg(FqElem* result, FqElem const* in);
101 
102 /// Square an element of Fq.
103 /*!
104 \param[out] result the square of the element.
105 \param[in] in the element to square.
106 */
107 void FqSquare(FqElem* result, FqElem const* in);
108 
109 /// Clear an element's value.
110 /*!
111 \param[out] result element to clear.
112 */
113 void FqClear(FqElem* result);
114 
115 /// Set an element's value.
116 /*!
117 \param[out] result target.
118 \param[in] in value to set.
119 */
120 void FqSet(FqElem* result, uint32_t in);
121 
122 /// Test if two elements in Fq are equal
123 /*!
124 \param[in] left The first operand to be tested.
125 \param[in] right The second operand to be tested.
126 \returns A value different from zero (i.e., true) if indeed
127          the values are equal. Zero (i.e., false) otherwise.
128 */
129 int FqEq(FqElem const* left, FqElem const* right);
130 
131 /// Conditionally Set an element's value to one of two values.
132 /*!
133 \param[out] result target.
134 \param[in] true_val value to set if condition is true.
135 \param[in] false_val value to set if condition is false.
136 \param[in] truth_val value of condition.
137 */
138 void FqCondSet(FqElem* result, FqElem const* true_val, FqElem const* false_val,
139                int truth_val);
140 
141 /// Compute the Square root of an element of Fq.
142 /*!
143 \param[out] result the square root of the element.
144 \param[in] in the element to find the square root of.
145 \returns A value different from zero (i.e., true) if the square root
146          exists.  Zero (i.e., false) otherwise.
147 */
148 int FqSqrt(FqElem* result, FqElem const* in);
149 
150 /// Generate a random element of Fq.
151 /*!
152 \param[in] result the random value.
153 \param[in] rnd_func Random number generator.
154 \param[in] rnd_param Pass through context data for rnd_func.
155 \returns A value different from zero (i.e., true) if on success.
156          Zero (i.e., false) otherwise.
157 */
158 int FqRand(FqElem* result, BitSupplier rnd_func, void* rnd_param);
159 
160 /// Reinterpret a buffer as an element of Fq
161 /*!
162 \param[out] result target.
163 \param[in] hash buffer to reinterpret.
164 \param[in] len length of hash in bytes.
165 */
166 void FqFromHash(FqElem* result, unsigned char const* hash, size_t len);
167 
168 #endif  // EPID_MEMBER_TINY_MATH_FQ_H_
169