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
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
use std::ops::{Add, Sub};

use cairo_lang_sierra::extensions::gas::{BuiltinCostWithdrawGasLibfunc, CostTokenType};
use cairo_lang_sierra::ids::ConcreteLibfuncId;
use cairo_lang_sierra::program::{BranchInfo, Invocation, Program, Statement, StatementIdx};
use cairo_lang_utils::casts::IntoOrPanic;
use cairo_lang_utils::iterators::zip_eq3;
use cairo_lang_utils::ordered_hash_map::OrderedHashMap;
use cairo_lang_utils::ordered_hash_set::OrderedHashSet;
use cairo_lang_utils::unordered_hash_map::UnorderedHashMap;
use itertools::zip_eq;

use crate::gas_info::GasInfo;
use crate::generate_equations::{calculate_reverse_topological_ordering, TopologicalOrderStatus};
use crate::objects::{BranchCost, ConstCost, PreCost};
use crate::CostError;

type VariableValues = OrderedHashMap<(StatementIdx, CostTokenType), i64>;

/// A trait for the cost type (either [PreCost] for pre-cost computation, or `i32` for the post-cost
/// computation).
pub trait CostTypeTrait:
    std::fmt::Debug + Default + Clone + Eq + Add<Output = Self> + Sub<Output = Self>
{
    fn max(values: impl Iterator<Item = Self>) -> Self;
}

impl CostTypeTrait for i32 {
    fn max(values: impl Iterator<Item = Self>) -> Self {
        values.max().unwrap_or_default()
    }
}

impl CostTypeTrait for PreCost {
    fn max(values: impl Iterator<Item = Self>) -> Self {
        let mut res = Self::default();
        for value in values {
            for (token_type, val) in value.0 {
                res.0.insert(token_type, std::cmp::max(*res.0.get(&token_type).unwrap_or(&0), val));
            }
        }
        res
    }
}

/// Computes the [GasInfo] for a given program.
///
/// The `specific_cost_context` argument controls whether the computation is pre-cost or post-cost.
pub fn compute_costs<
    CostType: CostTypeTrait,
    SpecificCostContext: SpecificCostContextTrait<CostType>,
>(
    program: &Program,
    get_cost_fn: &dyn Fn(&ConcreteLibfuncId) -> Vec<BranchCost>,
    specific_cost_context: &SpecificCostContext,
) -> Result<GasInfo, CostError> {
    let mut context = CostContext { program, costs: UnorderedHashMap::default(), get_cost_fn };

    context.prepare_wallet(specific_cost_context)?;

    let mut variable_values = VariableValues::default();
    for i in 0..program.statements.len() {
        analyze_gas_statements(
            &context,
            specific_cost_context,
            &StatementIdx(i),
            &mut variable_values,
        );
    }

    let function_costs = program
        .funcs
        .iter()
        .map(|func| {
            let res = SpecificCostContext::to_cost_map(context.wallet_at(&func.entry_point).value);
            (func.id.clone(), res)
        })
        .collect();

    Ok(GasInfo { variable_values, function_costs })
}

/// Returns the statements whose wallet value is needed by
/// [get_branch_requirements].
fn get_branch_requirements_dependencies(
    idx: &StatementIdx,
    invocation: &Invocation,
    libfunc_cost: &[BranchCost],
) -> OrderedHashSet<StatementIdx> {
    let mut res: OrderedHashSet<StatementIdx> = Default::default();
    for (branch_info, branch_cost) in zip_eq(&invocation.branches, libfunc_cost) {
        match branch_cost {
            BranchCost::FunctionCall { const_cost: _, function } => {
                res.insert(function.entry_point);
            }
            BranchCost::WithdrawGas { const_cost: _, success: true, with_builtin_costs: _ } => {
                // If withdraw_gas succeeds, we don't need to take future_wallet_value into account,
                // so we simply return.
                continue;
            }
            _ => {}
        }
        res.insert(idx.next(&branch_info.target));
    }

    res
}

/// Returns the required value for the wallet for each branch.
fn get_branch_requirements<
    CostType: CostTypeTrait,
    SpecificCostContext: SpecificCostContextTrait<CostType>,
>(
    specific_context: &SpecificCostContext,
    wallet_at_fn: &dyn Fn(&StatementIdx) -> WalletInfo<CostType>,
    idx: &StatementIdx,
    invocation: &Invocation,
    libfunc_cost: &[BranchCost],
) -> Vec<WalletInfo<CostType>> {
    zip_eq(&invocation.branches, libfunc_cost)
        .map(|(branch_info, branch_cost)| {
            specific_context.get_branch_requirement(wallet_at_fn, idx, branch_info, branch_cost)
        })
        .collect()
}

/// For every `branch_align` and `withdraw_gas` statements, computes the required cost variables.
///
/// * For `branch_align` this is the amount of cost *reduced* from the wallet.
/// * For `withdraw_gas` this is the amount that should be withdrawn and added to the wallet.
fn analyze_gas_statements<
    CostType: CostTypeTrait,
    SpecificCostContext: SpecificCostContextTrait<CostType>,
>(
    context: &CostContext<'_, CostType>,
    specific_context: &SpecificCostContext,
    idx: &StatementIdx,
    variable_values: &mut VariableValues,
) {
    let Statement::Invocation(invocation) = &context.program.get_statement(idx).unwrap() else {
        return;
    };
    let libfunc_cost: Vec<BranchCost> = context.get_cost(&invocation.libfunc_id);
    let branch_requirements: Vec<WalletInfo<CostType>> = get_branch_requirements(
        specific_context,
        &|statement_idx| context.wallet_at(statement_idx),
        idx,
        invocation,
        &libfunc_cost,
    );

    let wallet_value = context.wallet_at(idx).value;

    for (branch_info, branch_cost, branch_requirement) in
        zip_eq3(&invocation.branches, &libfunc_cost, &branch_requirements)
    {
        let future_wallet_value = context.wallet_at(&idx.next(&branch_info.target)).value;
        // TODO(lior): Consider checking that idx.next(&branch_info.target) is indeed branch
        //   align.
        if let BranchCost::WithdrawGas { success: true, .. } = branch_cost {
            let withdrawal = specific_context.get_gas_withdrawal(
                idx,
                branch_cost,
                &wallet_value,
                future_wallet_value,
            );
            for (token_type, amount) in SpecificCostContext::to_full_cost_map(withdrawal) {
                assert_eq!(
                    variable_values.insert((*idx, token_type), std::cmp::max(amount, 0)),
                    None
                );

                assert_eq!(
                    variable_values.insert(
                        (idx.next(&branch_info.target), token_type),
                        std::cmp::max(-amount, 0),
                    ),
                    None
                );
            }
        } else if invocation.branches.len() > 1 {
            let cost = wallet_value.clone() - branch_requirement.value.clone();
            for (token_type, amount) in SpecificCostContext::to_full_cost_map(cost) {
                assert_eq!(
                    variable_values.insert((idx.next(&branch_info.target), token_type), amount),
                    None
                );
            }
        }
    }
}

pub trait SpecificCostContextTrait<CostType: CostTypeTrait> {
    /// Converts a `CostType` to a [OrderedHashMap] from [CostTokenType] to i64.
    fn to_cost_map(cost: CostType) -> OrderedHashMap<CostTokenType, i64>;

    /// Converts a `CostType` to a [OrderedHashMap] from [CostTokenType] to i64.
    /// All relevant [CostTokenType] are included (even if their value is 0).
    fn to_full_cost_map(cost: CostType) -> OrderedHashMap<CostTokenType, i64>;

    /// Computes the value that should be withdrawn and added to the wallet.
    fn get_gas_withdrawal(
        &self,
        idx: &StatementIdx,
        branch_cost: &BranchCost,
        wallet_value: &CostType,
        future_wallet_value: CostType,
    ) -> CostType;

    /// Returns the required value for the wallet for a single branch.
    fn get_branch_requirement(
        &self,
        wallet_at_fn: &dyn Fn(&StatementIdx) -> WalletInfo<CostType>,
        idx: &StatementIdx,
        branch_info: &BranchInfo,
        branch_cost: &BranchCost,
    ) -> WalletInfo<CostType>;
}

/// The information about the wallet value at a given statement.
#[derive(Clone, Debug, Default)]
pub struct WalletInfo<CostType: CostTypeTrait> {
    /// The minimum wallet value before executing the statement.
    value: CostType,
}

impl<CostType: CostTypeTrait> WalletInfo<CostType> {
    fn merge(branches: Vec<Self>) -> Self {
        let max_value = CostType::max(branches.iter().map(|wallet_info| wallet_info.value.clone()));
        WalletInfo { value: max_value }
    }
}

/// Implements a cast from CostType to WalletInfo.
impl<CostType: CostTypeTrait> From<CostType> for WalletInfo<CostType> {
    fn from(value: CostType) -> Self {
        WalletInfo { value }
    }
}

/// Implements addition of WalletInfo.
impl<CostType: CostTypeTrait> std::ops::Add for WalletInfo<CostType> {
    type Output = Self;

    fn add(self, other: Self) -> Self {
        WalletInfo { value: self.value + other.value }
    }
}

/// Helper struct for computing the wallet value at each statement.
struct CostContext<'a, CostType: CostTypeTrait> {
    /// The Sierra program.
    program: &'a Program,
    /// A callback function returning the cost of a libfunc for every output branch.
    get_cost_fn: &'a dyn Fn(&ConcreteLibfuncId) -> Vec<BranchCost>,
    /// The cost before executing a Sierra statement.
    costs: UnorderedHashMap<StatementIdx, WalletInfo<CostType>>,
}
impl<'a, CostType: CostTypeTrait> CostContext<'a, CostType> {
    /// Returns the cost of a libfunc for every output branch.
    fn get_cost(&self, libfunc_id: &ConcreteLibfuncId) -> Vec<BranchCost> {
        (self.get_cost_fn)(libfunc_id)
    }

    /// Returns the required value in the wallet before executing statement `idx`.
    ///
    /// Assumes that [Self::prepare_wallet] was called before.
    ///
    /// For `branch_align` the function returns the result as if the alignment is zero (since the
    /// alignment is not know at this point).
    fn wallet_at(&self, idx: &StatementIdx) -> WalletInfo<CostType> {
        self.costs
            .get(idx)
            .unwrap_or_else(|| panic!("Wallet value for statement {idx} was not yet computed."))
            .clone()
    }

    /// Prepares the values for [Self::wallet_at].
    fn prepare_wallet<SpecificCostContext: SpecificCostContextTrait<CostType>>(
        &mut self,
        specific_cost_context: &SpecificCostContext,
    ) -> Result<(), CostError> {
        let topological_order =
            compute_topological_order(self.program.statements.len(), &|current_idx| {
                match &self.program.get_statement(current_idx).unwrap() {
                    Statement::Return(_) => {
                        // Return has no dependencies.
                        vec![]
                    }
                    Statement::Invocation(invocation) => {
                        let libfunc_cost: Vec<BranchCost> = self.get_cost(&invocation.libfunc_id);

                        get_branch_requirements_dependencies(current_idx, invocation, &libfunc_cost)
                            .into_iter()
                            .collect()
                    }
                }
            })?;

        for current_idx in topological_order {
            // The computation of the dependencies was completed.
            let res = self.no_cache_compute_wallet_at(&current_idx, specific_cost_context);
            // Update the cache with the result.
            self.costs.insert(current_idx, res.clone());
        }

        Ok(())
    }

    /// Helper function for `prepare_wallet()`.
    ///
    /// Assumes that the values was already computed for the dependencies.
    fn no_cache_compute_wallet_at<SpecificCostContext: SpecificCostContextTrait<CostType>>(
        &mut self,
        idx: &StatementIdx,
        specific_cost_context: &SpecificCostContext,
    ) -> WalletInfo<CostType> {
        match &self.program.get_statement(idx).unwrap() {
            Statement::Return(_) => Default::default(),
            Statement::Invocation(invocation) => {
                let libfunc_cost: Vec<BranchCost> = self.get_cost(&invocation.libfunc_id);

                // For each branch, compute the required value for the wallet.
                let branch_requirements: Vec<WalletInfo<CostType>> = get_branch_requirements(
                    specific_cost_context,
                    &|statement_idx| self.wallet_at(statement_idx),
                    idx,
                    invocation,
                    &libfunc_cost,
                );

                // The wallet value at the beginning of the statement is the maximal value
                // required by all the branches.
                WalletInfo::merge(branch_requirements)
            }
        }
    }
}

/// Generates a topological ordering of the statements according to the given dependencies_callback.
///
/// Each statement appears in the ordering after its dependencies.
fn compute_topological_order(
    n_statements: usize,
    dependencies_callback: &dyn Fn(&StatementIdx) -> Vec<StatementIdx>,
) -> Result<Vec<StatementIdx>, CostError> {
    let mut topological_order: Vec<StatementIdx> = Default::default();
    let mut status = vec![TopologicalOrderStatus::NotStarted; n_statements];
    for idx in 0..n_statements {
        calculate_reverse_topological_ordering(
            &mut topological_order,
            &mut status,
            &StatementIdx(idx),
            true,
            dependencies_callback,
        )?;
    }

    Ok(topological_order)
}

pub struct PreCostContext {}

impl SpecificCostContextTrait<PreCost> for PreCostContext {
    fn to_cost_map(cost: PreCost) -> OrderedHashMap<CostTokenType, i64> {
        let res = cost.0;
        res.into_iter().map(|(token_type, val)| (token_type, val as i64)).collect()
    }

    fn to_full_cost_map(cost: PreCost) -> OrderedHashMap<CostTokenType, i64> {
        CostTokenType::iter_precost()
            .map(|token_type| (*token_type, (*cost.0.get(token_type).unwrap_or(&0)).into()))
            .collect()
    }

    fn get_gas_withdrawal(
        &self,
        _idx: &StatementIdx,
        _branch_cost: &BranchCost,
        wallet_value: &PreCost,
        future_wallet_value: PreCost,
    ) -> PreCost {
        future_wallet_value - wallet_value.clone()
    }

    fn get_branch_requirement(
        &self,
        wallet_at_fn: &dyn Fn(&StatementIdx) -> WalletInfo<PreCost>,
        idx: &StatementIdx,
        branch_info: &BranchInfo,
        branch_cost: &BranchCost,
    ) -> WalletInfo<PreCost> {
        let branch_cost = match branch_cost {
            BranchCost::Regular { const_cost: _, pre_cost } => pre_cost.clone(),
            BranchCost::BranchAlign => Default::default(),
            BranchCost::FunctionCall { const_cost: _, function } => {
                wallet_at_fn(&function.entry_point).value
            }
            BranchCost::WithdrawGas { const_cost: _, success, with_builtin_costs: _ } => {
                if *success {
                    // If withdraw_gas succeeds, we don't need to take
                    // future_wallet_value into account, so we simply return.
                    return Default::default();
                } else {
                    Default::default()
                }
            }
            BranchCost::RedepositGas => {
                // TODO(lior): Replace with actually redepositing the gas.
                Default::default()
            }
        };
        let future_wallet_value = wallet_at_fn(&idx.next(&branch_info.target));
        WalletInfo::from(branch_cost) + future_wallet_value
    }
}

pub struct PostcostContext<'a> {
    pub get_ap_change_fn: &'a dyn Fn(&StatementIdx) -> usize,
    pub precost_gas_info: &'a GasInfo,
}

impl<'a> SpecificCostContextTrait<i32> for PostcostContext<'a> {
    fn to_cost_map(cost: i32) -> OrderedHashMap<CostTokenType, i64> {
        if cost == 0 { Default::default() } else { Self::to_full_cost_map(cost) }
    }

    fn to_full_cost_map(cost: i32) -> OrderedHashMap<CostTokenType, i64> {
        [(CostTokenType::Const, cost.into())].into_iter().collect()
    }

    fn get_gas_withdrawal(
        &self,
        idx: &StatementIdx,
        branch_cost: &BranchCost,
        wallet_value: &i32,
        future_wallet_value: i32,
    ) -> i32 {
        let BranchCost::WithdrawGas { const_cost, success: true, with_builtin_costs } = branch_cost
        else {
            panic!("Unexpected BranchCost: {:?}.", branch_cost);
        };

        let withdraw_gas_cost =
            self.compute_withdraw_gas_cost(idx, const_cost, *with_builtin_costs);
        future_wallet_value + withdraw_gas_cost - *wallet_value
    }

    fn get_branch_requirement(
        &self,
        wallet_at_fn: &dyn Fn(&StatementIdx) -> WalletInfo<i32>,
        idx: &StatementIdx,
        branch_info: &BranchInfo,
        branch_cost: &BranchCost,
    ) -> WalletInfo<i32> {
        let branch_cost_val = match branch_cost {
            BranchCost::Regular { const_cost, pre_cost: _ } => const_cost.cost(),
            BranchCost::BranchAlign => {
                let ap_change = (self.get_ap_change_fn)(idx);
                if ap_change == 0 {
                    0
                } else {
                    ConstCost { steps: 1, holes: ap_change as i32, range_checks: 0 }.cost()
                }
            }
            BranchCost::FunctionCall { const_cost, function } => {
                wallet_at_fn(&function.entry_point).value + const_cost.cost()
            }
            BranchCost::WithdrawGas { const_cost, success, with_builtin_costs } => {
                let cost = self.compute_withdraw_gas_cost(idx, const_cost, *with_builtin_costs);

                // If withdraw_gas succeeds, we don't need to take
                // future_wallet_value into account, so we simply return.
                if *success {
                    return WalletInfo::from(cost);
                }
                cost
            }
            BranchCost::RedepositGas => 0,
        };
        let future_wallet_value = wallet_at_fn(&idx.next(&branch_info.target));
        WalletInfo { value: branch_cost_val } + future_wallet_value
    }
}

impl<'a> PostcostContext<'a> {
    /// Computes the cost of the withdraw_gas libfunc.
    fn compute_withdraw_gas_cost(
        &self,
        idx: &StatementIdx,
        const_cost: &ConstCost,
        with_builtin_costs: bool,
    ) -> i32 {
        let mut amount = const_cost.cost();

        if with_builtin_costs {
            let steps = BuiltinCostWithdrawGasLibfunc::cost_computation_steps(|token_type| {
                self.precost_gas_info.variable_values[(*idx, token_type)].into_or_panic()
            })
            .into_or_panic::<i32>();
            amount += ConstCost { steps, ..Default::default() }.cost();
        }

        amount
    }
}