1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
use super::SignatureKind;
use crate::Felt;
use core::fmt;

// ADVICE INJECTORS
// ================================================================================================

/// Defines a set of actions which can be initiated from the VM to inject new data into the advice
/// provider.
///
/// These actions can affect all 3 components of the advice provider: Merkle store, advice stack,
/// and advice map.
///
/// All actions, except for `MerkleNodeMerge`, `Ext2Inv` and `UpdateMerkleNode` can be invoked
/// directly from Miden assembly via dedicated instructions.
#[derive(Copy, Clone, Debug, Eq, PartialEq)]
pub enum AdviceInjector {
    // MERKLE STORE INJECTORS
    // --------------------------------------------------------------------------------------------
    /// Creates a new Merkle tree in the advice provider by combining Merkle trees with the
    /// specified roots. The root of the new tree is defined as `Hash(LEFT_ROOT, RIGHT_ROOT)`.
    ///
    /// Inputs:
    ///   Operand stack: [RIGHT_ROOT, LEFT_ROOT, ...]
    ///   Merkle store: {RIGHT_ROOT, LEFT_ROOT}
    ///
    /// Outputs:
    ///   Operand stack: [RIGHT_ROOT, LEFT_ROOT, ...]
    ///   Merkle store: {RIGHT_ROOT, LEFT_ROOT, hash(LEFT_ROOT, RIGHT_ROOT)}
    ///
    /// After the operation, both the original trees and the new tree remains in the advice
    /// provider (i.e., the input trees are not removed).
    MerkleNodeMerge,

    // ADVICE STACK INJECTORS
    // --------------------------------------------------------------------------------------------
    /// Pushes a node of the Merkle tree specified by the values on the top of the operand stack
    /// onto the advice stack.
    ///
    /// Inputs:
    ///   Operand stack: [depth, index, TREE_ROOT, ...]
    ///   Advice stack: [...]
    ///   Merkle store: {TREE_ROOT<-NODE}
    ///
    /// Outputs:
    ///   Operand stack: [depth, index, TREE_ROOT, ...]
    ///   Advice stack: [NODE, ...]
    ///   Merkle store: {TREE_ROOT<-NODE}
    MerkleNodeToStack,

    /// Updates the node of a Merkle tree specified by the values at the top of the operand stack.
    /// Returns the path from the updated node to the new root of the tree to the caller.
    ///
    /// Inputs:
    ///  Operand stack: [OLD_NODE, depth, index, OLD_ROOT, NEW_NODE, ...]
    ///  Advice: [...]
    ///  Merkle store: {...}
    ///
    /// Outputs:
    ///  Operand stack: [OLD_NODE, depth, index, OLD_ROOT, NEW_NODE, ...]
    ///  Advice stack: [...]
    ///  Merkle store: {path, ...}
    ///  Return: [path]
    UpdateMerkleNode,

    /// Pushes a list of field elements onto the advice stack. The list is looked up in the advice
    /// map using the specified word from the operand stack as the key. If `include_len` is set to
    /// true, the number of elements in the value is also pushed onto the advice stack.
    ///
    /// Inputs:
    ///   Operand stack: [..., KEY, ...]
    ///   Advice stack: [...]
    ///   Advice map: {KEY: values}
    ///
    /// Outputs:
    ///   Operand stack: [..., KEY, ...]
    ///   Advice stack: [values_len?, values, ...]
    ///   Advice map: {KEY: values}
    ///
    /// The `key_offset` value specifies the location of the `KEY` on the stack. For example,
    /// offset value of 0 indicates that the top word on the stack should be used as the key, the
    /// offset value of 4, indicates that the second word on the stack should be used as the key
    /// etc.
    ///
    /// The valid values of `key_offset` are 0 through 12 (inclusive).
    MapValueToStack {
        include_len: bool,
        key_offset: usize,
    },

    /// Pushes the result of [u64] division (both the quotient and the remainder) onto the advice
    /// stack.
    ///
    /// Inputs:
    ///   Operand stack: [b1, b0, a1, a0, ...]
    ///   Advice stack: [...]
    ///
    /// Outputs:
    ///   Operand stack: [b1, b0, a1, a0, ...]
    ///   Advice stack: [q0, q1, r0, r1, ...]
    ///
    /// Where (a0, a1) and (b0, b1) are the 32-bit limbs of the dividend and the divisor
    /// respectively (with a0 representing the 32 lest significant bits and a1 representing the
    /// 32 most significant bits). Similarly, (q0, q1) and (r0, r1) represent the quotient and
    /// the remainder respectively.
    DivU64,

    /// Given an element in a quadratic extension field on the top of the stack (i.e., a0, b1),
    /// computes its multiplicative inverse and push the result onto the advice stack.
    ///
    /// Inputs:
    ///   Operand stack: [a1, a0, ...]
    ///   Advice stack: [...]
    ///
    /// Outputs:
    ///   Operand stack: [a1, a0, ...]
    ///   Advice stack: [b0, b1...]
    ///
    /// Where (b0, b1) is the multiplicative inverse of the extension field element (a0, a1) at the
    /// top of the stack.
    Ext2Inv,

    /// Given evaluations of a polynomial over some specified domain, interpolates the evaluations
    ///  into a polynomial in coefficient form and pushes the result into the advice stack.
    ///
    /// The interpolation is performed using the iNTT algorithm. The evaluations are expected to be
    /// in the quadratic extension.
    ///
    /// Inputs:
    ///   Operand stack: [output_size, input_size, input_start_ptr, ...]
    ///   Advice stack: [...]
    ///
    /// Outputs:
    ///   Operand stack: [output_size, input_size, input_start_ptr, ...]
    ///   Advice stack: [coefficients...]
    ///
    /// - `input_size` is the number of evaluations (each evaluation is 2 base field elements).
    ///   Must be a power of 2 and greater 1.
    /// - `output_size` is the number of coefficients in the interpolated polynomial (each
    ///   coefficient is 2 base field elements). Must be smaller than or equal to the number of
    ///   input evaluations.
    /// - `input_start_ptr` is the memory address of the first evaluation.
    /// - `coefficients` are the coefficients of the interpolated polynomial such that lowest
    ///   degree coefficients are located at the top of the advice stack.
    Ext2Intt,

    /// Pushes values onto the advice stack which are required for successful retrieval of a
    /// value from a Sparse Merkle Tree data structure.
    ///
    /// The Sparse Merkle Tree is tiered, meaning it will have leaf depths in `{16, 32, 48, 64}`.
    /// The depth flags define the tier on which the leaf is located.
    ///
    /// Inputs:
    ///   Operand stack: [KEY, ROOT, ...]
    ///   Advice stack: [...]
    ///
    /// Outputs:
    ///   Operand stack: [KEY, ROOT, ...]
    ///   Advice stack: [f0, f1, K, V, f2]
    ///
    /// Where:
    /// - f0 is a boolean flag set to `1` if the depth is `16` or `48`.
    /// - f1 is a boolean flag set to `1` if the depth is `16` or `32`.
    /// - K is the remaining key word; will be zeroed if the tree don't contain a mapped value
    ///   for the key.
    /// - V is the value word; will be zeroed if the tree don't contain a mapped value for the key.
    /// - f2 is a boolean flag set to `1` if a remaining key is not zero.
    SmtGet,

    /// Pushes values onto the advice stack which are required for successful insertion of a
    /// key-value pair into a Sparse Merkle Tree data structure.
    ///
    /// The Sparse Merkle Tree is tiered, meaning it will have leaf depths in `{16, 32, 48, 64}`.
    ///
    /// Inputs:
    ///   Operand stack: [VALUE, KEY, ROOT, ...]
    ///   Advice stack: [...]
    ///
    /// Outputs:
    ///   Operand stack: [OLD_VALUE, NEW_ROOT, ...]
    ///   Advice stack depends on the type of insert operation as follows:
    ///   - Update of an existing leaf: [ZERO (padding), d0, d1, ONE (is_update), OLD_VALUE]
    ///   - Simple insert at depth 16: [d0, d1, ONE (is_simple_insert), ZERO (is_update)]
    ///   - Simple insert at depth 32 or 48: [d0, d1, ONE (is_simple_insert), ZERO (is_update), P_NODE]
    ///   - Complex insert: [f0, f1, ZERO (is_simple_insert), ZERO (is_update), E_KEY, E_VALUE]
    ///   - Delete against an empty subtree: [d0, d1, ZERO (is_leaf), ONE (key_not_set)]
    ///   - Delete against another leaf: [d0, d1, ONE (is_leaf), ONE (key_not_set), KEY, VALUE]
    ///   - Delete against own leaf: [ZERO, ZERO, ZERO, ZERO (key_not_set), NEW_ROOT, OLD_VALUE]
    ///
    /// Where:
    /// - ROOT and NEW_ROOT are the roots of the TSMT before and after the insert respectively.
    /// - VALUE is the value to be inserted.
    /// - OLD_VALUE is the value previously associated with the specified KEY.
    /// - d0 is a boolean flag set to `1` if the depth is `16` or `48`.
    /// - d1 is a boolean flag set to `1` if the depth is `16` or `32`.
    /// - P_NODE is an internal node located at the tier above the insert tier.
    /// - f0 and f1 are boolean flags a combination of which determines the source and the target
    ///   tiers as follows:
    ///   - (0, 0): depth 16 -> 32
    ///   - (0, 1): depth 16 -> 48
    ///   - (1, 0): depth 32 -> 48
    ///   - (1, 1): depth 16, 32, or 48 -> 64
    /// - E_KEY and E_VALUE are the key-value pair for a leaf which is to be replaced by a subtree.
    SmtSet,

    /// Pushes onto the advice stack the value associated with the specified key in a Sparse
    /// Merkle Tree defined by the specified root.
    ///
    /// If no value was previously associated with the specified key, [ZERO; 4] is pushed onto
    /// the advice stack.
    ///
    /// Inputs:
    ///   Operand stack: [KEY, ROOT, ...]
    ///   Advice stack: [...]
    ///
    /// Outputs:
    ///   Operand stack: [KEY, ROOT, ...]
    ///   Advice stack: [VALUE, ...]
    SmtPeek,

    // ADVICE MAP INJECTORS
    // --------------------------------------------------------------------------------------------
    /// Reads words from memory at the specified range and inserts them into the advice map under
    /// the key `KEY` located at the top of the stack.
    ///
    /// Inputs:
    ///   Operand stack: [KEY, start_addr, end_addr, ...]
    ///   Advice map: {...}
    ///
    /// Outputs:
    ///   Operand stack: [KEY, start_addr, end_addr, ...]
    ///   Advice map: {KEY: values}
    ///
    /// Where `values` are the elements located in memory[start_addr..end_addr].
    MemToMap,

    /// Reads two word from the operand stack and inserts them into the advice map under the key
    /// defined by the hash of these words.
    ///
    /// Inputs:
    ///   Operand stack: [B, A, ...]
    ///   Advice map: {...}
    ///
    /// Outputs:
    ///   Operand stack: [B, A, ...]
    ///   Advice map: {KEY: [a0, a1, a2, a3, b0, b1, b2, b3]}
    ///
    /// Where KEY is computed as hash(A || B, domain), where domain is provided via the immediate
    /// value.
    HdwordToMap { domain: Felt },

    /// Reads three words from the operand stack and inserts the top two words into the advice map
    /// under the key defined by applying an RPO permutation to all three words.
    ///
    /// Inputs:
    ///   Operand stack: [B, A, C, ...]
    ///   Advice map: {...}
    ///
    /// Outputs:
    ///   Operand stack: [B, A, C, ...]
    ///   Advice map: {KEY: [a0, a1, a2, a3, b0, b1, b2, b3]}
    ///
    /// Where KEY is computed by extracting the digest elements from hperm([C, A, B]). For example,
    /// if C is [0, d, 0, 0], KEY will be set as hash(A || B, d).
    HpermToMap,

    /// Reads two words from the stack and pushes values onto the advice stack which are required
    /// for verification of a DSA in Miden VM.
    ///
    /// Inputs:
    ///   Operand stack: [PK, MSG, ...]
    ///   Advice stack: [...]
    ///
    /// Outputs:
    ///   Operand stack: [PK, MSG, ...]
    ///   Advice stack: [SIG_DATA]
    ///
    /// Where PK is the public key corresponding to the signing key, MSG is the message, SIG_DATA
    /// is the signature data.
    SigToStack { kind: SignatureKind },
}

impl fmt::Display for AdviceInjector {
    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
        match self {
            Self::MerkleNodeMerge => write!(f, "merkle_node_merge"),
            Self::MerkleNodeToStack => write!(f, "merkle_node_to_stack"),
            Self::UpdateMerkleNode => {
                write!(f, "update_merkle_node")
            }
            Self::MapValueToStack {
                include_len,
                key_offset,
            } => {
                if *include_len {
                    write!(f, "map_value_to_stack_with_len.{key_offset}")
                } else {
                    write!(f, "map_value_to_stack.{key_offset}")
                }
            }
            Self::DivU64 => write!(f, "div_u64"),
            Self::Ext2Inv => write!(f, "ext2_inv"),
            Self::Ext2Intt => write!(f, "ext2_intt"),
            Self::SmtGet => write!(f, "smt_get"),
            Self::SmtSet => write!(f, "smt_set"),
            Self::SmtPeek => write!(f, "smt_peek"),
            Self::MemToMap => write!(f, "mem_to_map"),
            Self::HdwordToMap { domain } => write!(f, "hdword_to_map.{domain}"),
            Self::HpermToMap => write!(f, "hperm_to_map"),
            Self::SigToStack { kind } => write!(f, "sig_to_stack.{kind}"),
        }
    }
}