gnark-plonky2-verifier/sha512/sha512.go
sha512/sha512.goRaw
1package sha512
2
3// Based on https://gist.github.com/illia-v/7883be942da5d416521375004cecb68f
4
5import (
6 "github.com/consensys/gnark/frontend"
7)
8
9
10func _right_rotate(n [64]frontend.Variable, bits int) [64]frontend.Variable {
11 var result [64]frontend.Variable
12 for i := 0; i < len(n); i++ {
13 result[(i+bits)%len(n)] = n[i]
14 }
15 return result
16}
17
18func Sha512(api frontend.API, in [] frontend.Variable) ([512] frontend.Variable) {
19 _not := func(x [64]frontend.Variable) [64]frontend.Variable {
20 return not(api, x)
21 }
22 _and := func(xs ...[64]frontend.Variable) [64]frontend.Variable {
23 return and(api, xs...)
24 }
25 _add := func(xs ...[64]frontend.Variable) [64]frontend.Variable {
26 return add(api, xs...)
27 }
28 _xor := func(xs ...[64]frontend.Variable) [64]frontend.Variable {
29 return xor(api, xs...)
30 }
31 zip_add := func(a, b Array8_64) Array8_64 {
32 a0, a1, a2, a3, a4, a5, a6, a7 := unpack8(a)
33 b0, b1, b2, b3, b4, b5, b6, b7 := unpack8(b)
34 return Array8_64{
35 _add(a0, b0),
36 _add(a1, b1),
37 _add(a2, b2),
38 _add(a3, b3),
39 _add(a4, b4),
40 _add(a5, b5),
41 _add(a6, b6),
42 _add(a7, b7),
43 }
44 }
45 initial_hash := []uint64{
46 0x6a09e667f3bcc908,
47 0xbb67ae8584caa73b,
48 0x3c6ef372fe94f82b,
49 0xa54ff53a5f1d36f1,
50 0x510e527fade682d1,
51 0x9b05688c2b3e6c1f,
52 0x1f83d9abfb41bd6b,
53 0x5be0cd19137e2179,
54 }
55 round_constants := []uint64{
56 0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f,
57 0xe9b5dba58189dbbc, 0x3956c25bf348b538, 0x59f111f1b605d019,
58 0x923f82a4af194f9b, 0xab1c5ed5da6d8118, 0xd807aa98a3030242,
59 0x12835b0145706fbe, 0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2,
60 0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235,
61 0xc19bf174cf692694, 0xe49b69c19ef14ad2, 0xefbe4786384f25e3,
62 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65, 0x2de92c6f592b0275,
63 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5,
64 0x983e5152ee66dfab, 0xa831c66d2db43210, 0xb00327c898fb213f,
65 0xbf597fc7beef0ee4, 0xc6e00bf33da88fc2, 0xd5a79147930aa725,
66 0x06ca6351e003826f, 0x142929670a0e6e70, 0x27b70a8546d22ffc,
67 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed, 0x53380d139d95b3df,
68 0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6,
69 0x92722c851482353b, 0xa2bfe8a14cf10364, 0xa81a664bbc423001,
70 0xc24b8b70d0f89791, 0xc76c51a30654be30, 0xd192e819d6ef5218,
71 0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8,
72 0x19a4c116b8d2d0c8, 0x1e376c085141ab53, 0x2748774cdf8eeb99,
73 0x34b0bcb5e19b48a8, 0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb,
74 0x5b9cca4f7763e373, 0x682e6ff3d6b2b8a3, 0x748f82ee5defb2fc,
75 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,
76 0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915,
77 0xc67178f2e372532b, 0xca273eceea26619c, 0xd186b8c721c0c207,
78 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178, 0x06f067aa72176fba,
79 0x0a637dc5a2c898a6, 0x113f9804bef90dae, 0x1b710b35131c471b,
80 0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc,
81 0x431d67c49c100d4c, 0x4cc5d4becb3e42b6, 0x597f299cfc657e2a,
82 0x5fcb6fab3ad6faec, 0x6c44198c4a475817,
83 }
84 for _, v := range in {
85 api.AssertIsBoolean(v)
86 }
87 mdi := divChecked(len(in), 8) % 128
88 var padding_len int
89 if mdi < 112 {
90 padding_len = 119 - mdi
91 } else {
92 padding_len = 247 - mdi
93 }
94 message_length_bits := uint64ToBits(uint64(len(in)))
95 in = append(in, 1)
96 for i := 0; i < 7; i++ {
97 in = append(in, 0)
98 }
99 for i := 0; i < padding_len * 8; i++ {
100 in = append(in, 0)
101 }
102 for i := 0; i < 64; i++ {
103 in = append(in, message_length_bits[i])
104 }
105
106 sha512_hash := Array8_64{
107 uint64ToBits(initial_hash[0]),
108 uint64ToBits(initial_hash[1]),
109 uint64ToBits(initial_hash[2]),
110 uint64ToBits(initial_hash[3]),
111 uint64ToBits(initial_hash[4]),
112 uint64ToBits(initial_hash[5]),
113 uint64ToBits(initial_hash[6]),
114 uint64ToBits(initial_hash[7]),
115 }
116 for chunk_start := 0; chunk_start < divChecked(len(in), 8); chunk_start += 128 {
117 chunk := in[chunk_start * 8 : (chunk_start+128) * 8]
118 if len(chunk) != 1024 { panic("bad length") }
119 u := make([]frontend.Variable, 80 * 64)
120 for i, _ := range u {
121 u[i] = 0
122 }
123 copy(u, chunk)
124
125 w := reshape(u)
126
127 for i := 16; i < 80; i++ {
128 s0 := _xor(
129 _right_rotate(w[i - 15], 1),
130 _right_rotate(w[i - 15], 8),
131 _shr(w[i - 15], 7),
132 )
133 s1 := _xor(
134 _right_rotate(w[i - 2], 19),
135 _right_rotate(w[i - 2], 61),
136 _shr(w[i - 2], 6),
137 )
138 w[i] = _add(w[i - 16], s0, w[i - 7], s1)
139 }
140 a, b, c, d, e, f, g, h := unpack8(sha512_hash)
141 for i := 0; i < 80; i++ {
142 sum1 := _xor(
143 _right_rotate(e, 14),
144 _right_rotate(e, 18),
145 _right_rotate(e, 41),
146 )
147 ch := _xor(_and(e, f), _and(_not(e), g))
148 temp1 := _add(h, sum1, ch, uint64ToBits(round_constants[i]), w[i])
149 sum0 := _xor(
150 _right_rotate(a, 28),
151 _right_rotate(a, 34),
152 _right_rotate(a, 39),
153 )
154 maj := _xor(_and(a, b), _and(a, c), _and(b, c))
155 temp2 := _add(sum0, maj)
156
157 h = g
158 g = f
159 f = e
160 e = _add(d, temp1)
161 d = c
162 c = b
163 b = a
164 a = _add(temp1, temp2)
165 }
166 sha512_hash = zip_add(sha512_hash, Array8_64{a, b, c, d, e, f, g, h})
167 }
168 return flatten8(sha512_hash)
169}
170
171func reshape(u []frontend.Variable) [][64]frontend.Variable {
172 l := divChecked(len(u), 64)
173 result := make([][64]frontend.Variable, l)
174 for i := 0; i < l; i++ {
175 var arr [64]frontend.Variable
176 for k := 0; k < 64; k++ {
177 arr[k] = u[i*64+k]
178 }
179 result[i] = arr
180 }
181 return result
182}
183
184type Array8_64 [8][64]frontend.Variable
185
186func unpack8(x Array8_64) ([64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable, [64]frontend.Variable) {
187 return x[0], x[1], x[2], x[3], x[4], x[5], x[6], x[7]
188}
189
190func flatten8(x Array8_64) [512]frontend.Variable {
191 var result [512]frontend.Variable
192 k := 0
193 for i := 0; i < 8; i++ {
194 for j := 0; j < 64; j++ {
195 result[k] = x[i][j]
196 k++
197 }
198 }
199 return result
200}
201
202func uint64ToBits(value uint64) [64]frontend.Variable {
203 var result [64]frontend.Variable
204 for k := 0; k < 64; k++ {
205 if (value & (1 << (63-k))) != 0 {
206 result[k] = 1
207 } else {
208 result[k] = 0
209 }
210 }
211 return result
212}
213
214func xor(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable {
215 if len(args) == 1 {
216 return args[0]
217 } else {
218 return xor2(api, args[0], xor(api, args[1:]...))
219 }
220}
221func add(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable {
222 if len(args) == 1 {
223 return args[0]
224 } else {
225 return add2(api, args[0], add(api, args[1:]...))
226 }
227}
228func and(api frontend.API, args ...[64]frontend.Variable) [64]frontend.Variable {
229 if len(args) == 1 {
230 return args[0]
231 } else {
232 return and2(api, args[0], and(api, args[1:]...))
233 }
234}
235
236func xor2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable {
237 var result [64]frontend.Variable
238 for i := 0; i < 64; i++ {
239 result[i] = api.Xor(a[i], b[i])
240 }
241 return result
242}
243
244func and2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable {
245 var result [64]frontend.Variable
246 for i := 0; i < 64; i++ {
247 result[i] = api.And(a[i], b[i])
248 }
249 return result
250}
251
252func add2(api frontend.API, a, b [64]frontend.Variable) [64]frontend.Variable {
253 var result [64]frontend.Variable
254 var carry frontend.Variable = 0
255 for i := 63; i >= 0; i-- {
256 sum := api.Add(a[i], b[i], carry)
257 sumBin := api.ToBinary(sum, 2)
258 if len(sumBin) != 2 {
259 panic("bad length")
260 }
261 result[i] = sumBin[0]
262 carry = sumBin[1]
263 }
264 return result
265}
266
267func _shr(n [64]frontend.Variable, bits int) [64]frontend.Variable {
268 var result [64]frontend.Variable
269 for i := 0; i < 64; i++ {
270 if i < bits {
271 result[i] = 0
272 } else {
273 result[i] = n[i - bits]
274 }
275 }
276 return result
277}
278
279func not(api frontend.API, n [64]frontend.Variable) [64]frontend.Variable {
280 var result [64]frontend.Variable
281 for i := 0; i < 64; i++ {
282 result[i] = api.Sub(1, n[i])
283 }
284 return result
285}
286
287func divChecked(a, b int) int {
288 if a % b != 0 {
289 panic("divChecked: does not divide evenly")
290 }
291 return a / b
292}
293