revm_precompile/
modexp.rs

1//! Modexp precompile added in [`EIP-198`](https://eips.ethereum.org/EIPS/eip-198)
2//! and reprices in berlin hardfork with [`EIP-2565`](https://eips.ethereum.org/EIPS/eip-2565).
3use crate::{
4    crypto,
5    utilities::{left_pad, left_pad_vec, right_pad_vec, right_pad_with_offset},
6    Precompile, PrecompileError, PrecompileId, PrecompileOutput, PrecompileResult,
7};
8use core::cmp::{max, min};
9use primitives::{eip7823, Bytes, U256};
10use std::vec::Vec;
11
12/// `modexp` precompile with BYZANTIUM gas rules.
13pub const BYZANTIUM: Precompile = Precompile::new(
14    PrecompileId::ModExp,
15    crate::u64_to_address(5),
16    byzantium_run,
17);
18
19/// `modexp` precompile with BERLIN gas rules.
20pub const BERLIN: Precompile =
21    Precompile::new(PrecompileId::ModExp, crate::u64_to_address(5), berlin_run);
22
23/// `modexp` precompile with OSAKA gas rules.
24pub const OSAKA: Precompile =
25    Precompile::new(PrecompileId::ModExp, crate::u64_to_address(5), osaka_run);
26
27#[cfg(feature = "gmp")]
28/// GMP-based modular exponentiation implementation
29pub(crate) fn modexp(base: &[u8], exponent: &[u8], modulus: &[u8]) -> Vec<u8> {
30    use rug::{integer::Order::Msf, Integer};
31    // Convert byte slices to GMP integers
32    let base_int = Integer::from_digits(base, Msf);
33    let exp_int = Integer::from_digits(exponent, Msf);
34    let mod_int = Integer::from_digits(modulus, Msf);
35
36    // Perform modular exponentiation using GMP's pow_mod
37    let result = base_int.pow_mod(&exp_int, &mod_int).unwrap_or_default();
38
39    // Convert result back to bytes
40    let byte_count = result.significant_bits().div_ceil(8);
41    let mut output = vec![0u8; byte_count as usize];
42    result.write_digits(&mut output, Msf);
43    output
44}
45
46#[cfg(not(feature = "gmp"))]
47pub(crate) fn modexp(base: &[u8], exponent: &[u8], modulus: &[u8]) -> Vec<u8> {
48    aurora_engine_modexp::modexp(base, exponent, modulus)
49}
50
51/// See: <https://eips.ethereum.org/EIPS/eip-198>
52/// See: <https://etherscan.io/address/0000000000000000000000000000000000000005>
53pub fn byzantium_run(input: &[u8], gas_limit: u64) -> PrecompileResult {
54    run_inner::<_, false>(input, gas_limit, 0, |a, b, c, d| {
55        byzantium_gas_calc(a, b, c, d)
56    })
57}
58
59/// See: <https://eips.ethereum.org/EIPS/eip-2565>
60/// Gas cost of berlin is modified from byzantium.
61pub fn berlin_run(input: &[u8], gas_limit: u64) -> PrecompileResult {
62    run_inner::<_, false>(input, gas_limit, 200, |a, b, c, d| {
63        berlin_gas_calc(a, b, c, d)
64    })
65}
66
67/// See: <https://eips.ethereum.org/EIPS/eip-7823>
68/// Gas cost of berlin is modified from byzantium.
69pub fn osaka_run(input: &[u8], gas_limit: u64) -> PrecompileResult {
70    run_inner::<_, true>(input, gas_limit, 500, |a, b, c, d| {
71        osaka_gas_calc(a, b, c, d)
72    })
73}
74
75/// Calculate the iteration count for the modexp precompile.
76pub fn calculate_iteration_count<const MULTIPLIER: u64>(exp_length: u64, exp_highp: &U256) -> u64 {
77    let mut iteration_count: u64 = 0;
78
79    if exp_length <= 32 && exp_highp.is_zero() {
80        iteration_count = 0;
81    } else if exp_length <= 32 {
82        iteration_count = exp_highp.bit_len() as u64 - 1;
83    } else if exp_length > 32 {
84        iteration_count = (MULTIPLIER.saturating_mul(exp_length - 32))
85            .saturating_add(max(1, exp_highp.bit_len() as u64) - 1);
86    }
87
88    max(iteration_count, 1)
89}
90
91/// Run the modexp precompile.
92pub fn run_inner<F, const OSAKA: bool>(
93    input: &[u8],
94    gas_limit: u64,
95    min_gas: u64,
96    calc_gas: F,
97) -> PrecompileResult
98where
99    F: FnOnce(u64, u64, u64, &U256) -> u64,
100{
101    // If there is no minimum gas, return error.
102    if min_gas > gas_limit {
103        return Err(PrecompileError::OutOfGas);
104    }
105
106    // The format of input is:
107    // <length_of_BASE> <length_of_EXPONENT> <length_of_MODULUS> <BASE> <EXPONENT> <MODULUS>
108    // Where every length is a 32-byte left-padded integer representing the number of bytes
109    // to be taken up by the next value.
110    const HEADER_LENGTH: usize = 96;
111
112    // Extract the header
113    let base_len = U256::from_be_bytes(right_pad_with_offset::<32>(input, 0).into_owned());
114    let exp_len = U256::from_be_bytes(right_pad_with_offset::<32>(input, 32).into_owned());
115    let mod_len = U256::from_be_bytes(right_pad_with_offset::<32>(input, 64).into_owned());
116
117    // Cast base and modulus to usize, it does not make sense to handle larger values
118    let base_len =
119        usize::try_from(base_len).map_err(|_| PrecompileError::ModexpEip7823LimitSize)?;
120    let mod_len = usize::try_from(mod_len).map_err(|_| PrecompileError::ModexpEip7823LimitSize)?;
121    // cast exp len to the max size, it will fail later in gas calculation if it is too large.
122    let exp_len = usize::try_from(exp_len).unwrap_or(usize::MAX);
123
124    // for EIP-7823 we need to check size of imputs
125    if OSAKA
126        && (base_len > eip7823::INPUT_SIZE_LIMIT
127            || mod_len > eip7823::INPUT_SIZE_LIMIT
128            || exp_len > eip7823::INPUT_SIZE_LIMIT)
129    {
130        return Err(PrecompileError::ModexpEip7823LimitSize);
131    }
132
133    // Used to extract ADJUSTED_EXPONENT_LENGTH.
134    let exp_highp_len = min(exp_len, 32);
135
136    // Throw away the header data as we already extracted lengths.
137    let input = input.get(HEADER_LENGTH..).unwrap_or_default();
138
139    let exp_highp = {
140        // Get right padded bytes so if data.len is less then exp_len we will get right padded zeroes.
141        let right_padded_highp = right_pad_with_offset::<32>(input, base_len);
142        // If exp_len is less then 32 bytes get only exp_len bytes and do left padding.
143        let out = left_pad::<32>(&right_padded_highp[..exp_highp_len]);
144        U256::from_be_bytes(out.into_owned())
145    };
146
147    // Check if we have enough gas.
148    let gas_cost = calc_gas(base_len as u64, exp_len as u64, mod_len as u64, &exp_highp);
149    if gas_cost > gas_limit {
150        return Err(PrecompileError::OutOfGas);
151    }
152
153    if base_len == 0 && mod_len == 0 {
154        return Ok(PrecompileOutput::new(gas_cost, Bytes::new()));
155    }
156
157    // Padding is needed if the input does not contain all 3 values.
158    let input_len = base_len.saturating_add(exp_len).saturating_add(mod_len);
159    let input = right_pad_vec(input, input_len);
160    let (base, input) = input.split_at(base_len);
161    let (exponent, modulus) = input.split_at(exp_len);
162    debug_assert_eq!(modulus.len(), mod_len);
163
164    // Call the modexp.
165    let output = crypto().modexp(base, exponent, modulus)?;
166
167    // Left pad the result to modulus length. bytes will always by less or equal to modulus length.
168    Ok(PrecompileOutput::new(
169        gas_cost,
170        left_pad_vec(&output, mod_len).into_owned().into(),
171    ))
172}
173
174/// Calculate the gas cost for the modexp precompile with BYZANTIUM gas rules.
175pub fn byzantium_gas_calc(base_len: u64, exp_len: u64, mod_len: u64, exp_highp: &U256) -> u64 {
176    gas_calc::<0, 8, 20, _>(base_len, exp_len, mod_len, exp_highp, |max_len| -> U256 {
177        // Output of this function is bounded by 2^128
178        if max_len <= 64 {
179            U256::from(max_len * max_len)
180        } else if max_len <= 1_024 {
181            U256::from(max_len * max_len / 4 + 96 * max_len - 3_072)
182        } else {
183            // Up-cast to avoid overflow
184            let x = U256::from(max_len);
185            let x_sq = x * x; // x < 2^64 => x*x < 2^128 < 2^256 (no overflow)
186            x_sq / U256::from(16) + U256::from(480) * x - U256::from(199_680)
187        }
188    })
189}
190
191/// Calculate gas cost according to EIP 2565:
192/// <https://eips.ethereum.org/EIPS/eip-2565>
193pub fn berlin_gas_calc(base_len: u64, exp_len: u64, mod_len: u64, exp_highp: &U256) -> u64 {
194    gas_calc::<200, 8, 3, _>(base_len, exp_len, mod_len, exp_highp, |max_len| -> U256 {
195        let words = U256::from(max_len.div_ceil(8));
196        words * words
197    })
198}
199
200/// Calculate gas cost according to EIP-7883:
201/// <https://eips.ethereum.org/EIPS/eip-7883>
202///
203/// There are three changes:
204/// 1. Increase minimal price from 200 to 500
205/// 2. Increase cost when exponent is larger than 32 bytes
206/// 3. Increase cost when base or modulus is larger than 32 bytes
207pub fn osaka_gas_calc(base_len: u64, exp_len: u64, mod_len: u64, exp_highp: &U256) -> u64 {
208    gas_calc::<500, 16, 1, _>(base_len, exp_len, mod_len, exp_highp, |max_len| -> U256 {
209        if max_len <= 32 {
210            return U256::from(16); // multiplication_complexity = 16
211        }
212
213        let words = U256::from(max_len.div_ceil(8));
214        words * words * U256::from(2) // multiplication_complexity = 2 * words**2
215    })
216}
217
218/// Calculate gas cost.
219pub fn gas_calc<const MIN_PRICE: u64, const MULTIPLIER: u64, const GAS_DIVISOR: u64, F>(
220    base_len: u64,
221    exp_len: u64,
222    mod_len: u64,
223    exp_highp: &U256,
224    calculate_multiplication_complexity: F,
225) -> u64
226where
227    F: Fn(u64) -> U256,
228{
229    let multiplication_complexity = calculate_multiplication_complexity(max(base_len, mod_len));
230    let iteration_count = calculate_iteration_count::<MULTIPLIER>(exp_len, exp_highp);
231    let gas = (multiplication_complexity * U256::from(iteration_count)) / U256::from(GAS_DIVISOR);
232    max(MIN_PRICE, gas.saturating_to())
233}
234
235#[cfg(test)]
236mod tests {
237    use super::*;
238    use primitives::hex;
239    use std::vec::Vec;
240
241    struct Test {
242        input: &'static str,
243        expected: &'static str,
244        name: &'static str,
245    }
246
247    const TESTS: [Test; 19] = [
248        Test {
249            input: "\
250            0000000000000000000000000000000000000000000000000000000000000064\
251            0000000000000000000000000000000000000000000000000000000000000064\
252            0000000000000000000000000000000000000000000000000000000000000064\
253            5442ddc2b70f66c1f6d2b296c0a875be7eddd0a80958cbc7425f1899ccf90511\
254            a5c318226e48ee23f130b44dc17a691ce66be5da18b85ed7943535b205aa125e\
255            9f59294a00f05155c23e97dac6b3a00b0c63c8411bf815fc183b420b4d9dc5f7\
256            15040d5c60957f52d334b843197adec58c131c907cd96059fc5adce9dda351b5\
257            df3d666fcf3eb63c46851c1816e323f2119ebdf5ef35",
258            expected: "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
259            name: "eth_tests_modexp_modsize0_returndatasizeFiller",
260        },
261        Test {
262            input: "\
263            0000000000000000000000000000000000000000000000000000000000000001\
264            0000000000000000000000000000000000000000000000000000000000000020\
265            0000000000000000000000000000000000000000000000000000000000000020\
266            03\
267            fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e\
268            ffffffffffffffffffffffffffffffffffffffffff2f",
269            expected: "162ead82cadefaeaf6e9283248fdf2f2845f6396f6f17c4d5a39f820b6f6b5f9",
270            name: "eth_tests_create2callPrecompiles_test0_berlin",
271        },
272        Test {
273            input: "\
274            0000000000000000000000000000000000000000000000000000000000000001\
275            0000000000000000000000000000000000000000000000000000000000000020\
276            0000000000000000000000000000000000000000000000000000000000000020\
277            03\
278            fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e\
279            fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f",
280            expected: "0000000000000000000000000000000000000000000000000000000000000001",
281            name: "eip198_example_1",
282        },
283        Test {
284            input: "\
285            0000000000000000000000000000000000000000000000000000000000000000\
286            0000000000000000000000000000000000000000000000000000000000000020\
287            0000000000000000000000000000000000000000000000000000000000000020\
288            fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e\
289            fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f",
290            expected: "0000000000000000000000000000000000000000000000000000000000000000",
291            name: "eip198_example_2",
292        },
293        Test {
294            input: "\
295            0000000000000000000000000000000000000000000000000000000000000040\
296            0000000000000000000000000000000000000000000000000000000000000001\
297            0000000000000000000000000000000000000000000000000000000000000040\
298            e09ad9675465c53a109fac66a445c91b292d2bb2c5268addb30cd82f80fcb003\
299            3ff97c80a5fc6f39193ae969c6ede6710a6b7ac27078a06d90ef1c72e5c85fb5\
300            02fc9e1f6beb81516545975218075ec2af118cd8798df6e08a147c60fd6095ac\
301            2bb02c2908cf4dd7c81f11c289e4bce98f3553768f392a80ce22bf5c4f4a248c\
302            6b",
303            expected: "60008f1614cc01dcfb6bfb09c625cf90b47d4468db81b5f8b7a39d42f332eab9b2da8f2d95311648a8f243f4bb13cfb3d8f7f2a3c014122ebb3ed41b02783adc",
304            name: "nagydani_1_square",
305        },
306        Test {
307            input: "\
308            0000000000000000000000000000000000000000000000000000000000000040\
309            0000000000000000000000000000000000000000000000000000000000000001\
310            0000000000000000000000000000000000000000000000000000000000000040\
311            e09ad9675465c53a109fac66a445c91b292d2bb2c5268addb30cd82f80fcb003\
312            3ff97c80a5fc6f39193ae969c6ede6710a6b7ac27078a06d90ef1c72e5c85fb5\
313            03fc9e1f6beb81516545975218075ec2af118cd8798df6e08a147c60fd6095ac\
314            2bb02c2908cf4dd7c81f11c289e4bce98f3553768f392a80ce22bf5c4f4a248c\
315            6b",
316            expected: "4834a46ba565db27903b1c720c9d593e84e4cbd6ad2e64b31885d944f68cd801f92225a8961c952ddf2797fa4701b330c85c4b363798100b921a1a22a46a7fec",
317            name: "nagydani_1_qube"
318        },
319        Test {
320            input: "\
321            0000000000000000000000000000000000000000000000000000000000000040\
322            0000000000000000000000000000000000000000000000000000000000000003\
323            0000000000000000000000000000000000000000000000000000000000000040\
324            e09ad9675465c53a109fac66a445c91b292d2bb2c5268addb30cd82f80fcb003\
325            3ff97c80a5fc6f39193ae969c6ede6710a6b7ac27078a06d90ef1c72e5c85fb5\
326            010001fc9e1f6beb81516545975218075ec2af118cd8798df6e08a147c60fd60\
327            95ac2bb02c2908cf4dd7c81f11c289e4bce98f3553768f392a80ce22bf5c4f4a\
328            248c6b",
329            expected: "c36d804180c35d4426b57b50c5bfcca5c01856d104564cd513b461d3c8b8409128a5573e416d0ebe38f5f736766d9dc27143e4da981dfa4d67f7dc474cbee6d2",
330            name: "nagydani_1_pow0x10001",
331        },
332        Test {
333            input: "\
334            0000000000000000000000000000000000000000000000000000000000000080\
335            0000000000000000000000000000000000000000000000000000000000000001\
336            0000000000000000000000000000000000000000000000000000000000000080\
337            cad7d991a00047dd54d3399b6b0b937c718abddef7917c75b6681f40cc15e2be\
338            0003657d8d4c34167b2f0bbbca0ccaa407c2a6a07d50f1517a8f22979ce12a81\
339            dcaf707cc0cebfc0ce2ee84ee7f77c38b9281b9822a8d3de62784c089c9b18dc\
340            b9a2a5eecbede90ea788a862a9ddd9d609c2c52972d63e289e28f6a590ffbf51\
341            02e6d893b80aeed5e6e9ce9afa8a5d5675c93a32ac05554cb20e9951b2c140e3\
342            ef4e433068cf0fb73bc9f33af1853f64aa27a0028cbf570d7ac9048eae5dc7b2\
343            8c87c31e5810f1e7fa2cda6adf9f1076dbc1ec1238560071e7efc4e9565c49be\
344            9e7656951985860a558a754594115830bcdb421f741408346dd5997bb01c2870\
345            87",
346            expected: "981dd99c3b113fae3e3eaa9435c0dc96779a23c12a53d1084b4f67b0b053a27560f627b873e3f16ad78f28c94f14b6392def26e4d8896c5e3c984e50fa0b3aa44f1da78b913187c6128baa9340b1e9c9a0fd02cb78885e72576da4a8f7e5a113e173a7a2889fde9d407bd9f06eb05bc8fc7b4229377a32941a02bf4edcc06d70",
347            name: "nagydani_2_square",
348        },
349        Test {
350            input: "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",
351            expected: "d89ceb68c32da4f6364978d62aaa40d7b09b59ec61eb3c0159c87ec3a91037f7dc6967594e530a69d049b64adfa39c8fa208ea970cfe4b7bcd359d345744405afe1cbf761647e32b3184c7fbe87cee8c6c7ff3b378faba6c68b83b6889cb40f1603ee68c56b4c03d48c595c826c041112dc941878f8c5be828154afd4a16311f",
352            name: "nagydani_2_qube",
353        },
354        Test {
355            input: "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",
356            expected: "ad85e8ef13fd1dd46eae44af8b91ad1ccae5b7a1c92944f92a19f21b0b658139e0cabe9c1f679507c2de354bf2c91ebd965d1e633978a830d517d2f6f8dd5fd58065d58559de7e2334a878f8ec6992d9b9e77430d4764e863d77c0f87beede8f2f7f2ab2e7222f85cc9d98b8467f4bb72e87ef2882423ebdb6daf02dddac6db2",
357            name: "nagydani_2_pow0x10001",
358        },
359        Test {
360            input: "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",
361            expected: "affc7507ea6d84751ec6b3f0d7b99dbcc263f33330e450d1b3ff0bc3d0874320bf4edd57debd587306988157958cb3cfd369cc0c9c198706f635c9e0f15d047df5cb44d03e2727f26b083c4ad8485080e1293f171c1ed52aef5993a5815c35108e848c951cf1e334490b4a539a139e57b68f44fee583306f5b85ffa57206b3ee5660458858534e5386b9584af3c7f67806e84c189d695e5eb96e1272d06ec2df5dc5fabc6e94b793718c60c36be0a4d031fc84cd658aa72294b2e16fc240aef70cb9e591248e38bd49c5a554d1afa01f38dab72733092f7555334bbef6c8c430119840492380aa95fa025dcf699f0a39669d812b0c6946b6091e6e235337b6f8",
362            name: "nagydani_3_square",
363        },
364        Test {
365            input: "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",
366            expected: "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",
367            name: "nagydani_3_qube",
368        },
369        Test {
370            input: "000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000000000100c9130579f243e12451760976261416413742bd7c91d39ae087f46794062b8c239f2a74abf3918605a0e046a7890e049475ba7fbb78f5de6490bd22a710cc04d30088179a919d86c2da62cf37f59d8f258d2310d94c24891be2d7eeafaa32a8cb4b0cfe5f475ed778f45907dc8916a73f03635f233f7a77a00a3ec9ca6761a5bbd558a2318ecd0caa1c5016691523e7e1fa267dd35e70c66e84380bdcf7c0582f540174e572c41f81e93da0b757dff0b0fe23eb03aa19af0bdec3afb474216febaacb8d0381e631802683182b0fe72c28392539850650b70509f54980241dc175191a35d967288b532a7a8223ce2440d010615f70df269501944d4ec16fe4a3cb010001d7a85909174757835187cb52e71934e6c07ef43b4c46fc30bbcd0bc72913068267c54a4aabebb493922492820babdeb7dc9b1558fcf7bd82c37c82d3147e455b623ab0efa752fe0b3a67ca6e4d126639e645a0bf417568adbb2a6a4eef62fa1fa29b2a5a43bebea1f82193a7dd98eb483d09bb595af1fa9c97c7f41f5649d976aee3e5e59e2329b43b13bea228d4a93f16ba139ccb511de521ffe747aa2eca664f7c9e33da59075cc335afcd2bf3ae09765f01ab5a7c3e3938ec168b74724b5074247d200d9970382f683d6059b94dbc336603d1dfee714e4b447ac2fa1d99ecb4961da2854e03795ed758220312d101e1e3d87d5313a6d052aebde75110363d",
371            expected: "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",
372            name: "nagydani_3_pow0x10001",
373        },
374        Test {
375            input: "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",
376            expected: "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",
377            name: "nagydani_4_square",
378        },
379        Test {
380            input: "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",
381            expected: "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",
382            name: "nagydani_4_qube",
383        },
384        Test {
385            input: "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",
386            expected: "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",
387            name: "nagydani_4_pow0x10001",
388        },
389        Test {
390            input: "000000000000000000000000000000000000000000000000000000000000040000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000400c5a1611f8be90071a43db23cc2fe01871cc4c0e8ab5743f6378e4fef77f7f6db0095c0727e20225beb665645403453e325ad5f9aeb9ba99bf3c148f63f9c07cf4fe8847ad5242d6b7d4499f93bd47056ddab8f7dee878fc2314f344dbee2a7c41a5d3db91eff372c730c2fdd3a141a4b61999e36d549b9870cf2f4e632c4d5df5f024f81c028000073a0ed8847cfb0593d36a47142f578f05ccbe28c0c06aeb1b1da027794c48db880278f79ba78ae64eedfea3c07d10e0562668d839749dc95f40467d15cf65b9cfc52c7c4bcef1cda3596dd52631aac942f146c7cebd46065131699ce8385b0db1874336747ee020a5698a3d1a1082665721e769567f579830f9d259cec1a836845109c21cf6b25da572512bf3c42fd4b96e43895589042ab60dd41f497db96aec102087fe784165bb45f942859268fd2ff6c012d9d00c02ba83eace047cc5f7b2c392c2955c58a49f0338d6fc58749c9db2155522ac17914ec216ad87f12e0ee95574613942fa615898c4d9e8a3be68cd6afa4e7a003dedbdf8edfee31162b174f965b20ae752ad89c967b3068b6f722c16b354456ba8e280f987c08e0a52d40a2e8f3a59b94d590aeef01879eb7a90b3ee7d772c839c85519cbeaddc0c193ec4874a463b53fcaea3271d80ebfb39b33489365fc039ae549a17a9ff898eea2f4cb27b8dbee4c17b998438575b2b8d107e4a0d66ba7fca85b41a58a8d51f191a35c856dfbe8aef2b00048a694bbccff832d23c8ca7a7ff0b6c0b3011d00b97c86c0628444d267c951d9e4fb8f83e154b8f74fb51aa16535e498235c5597dac9606ed0be3173a3836baa4e7d756ffe1e2879b415d3846bccd538c05b847785699aefde3e305decb600cd8fb0e7d8de5efc26971a6ad4e6d7a2d91474f1023a0ac4b78dc937da0ce607a45974d2cac1c33a2631ff7fe6144a3b2e5cf98b531a9627dea92c1dc82204d09db0439b6a11dd64b484e1263aa45fd9539b6020b55e3baece3986a8bffc1003406348f5c61265099ed43a766ee4f93f5f9c5abbc32a0fd3ac2b35b87f9ec26037d88275bd7dd0a54474995ee34ed3727f3f97c48db544b1980193a4b76a8a3ddab3591ce527f16d91882e67f0103b5cda53f7da54d489fc4ac08b6ab358a5a04aa9daa16219d50bd672a7cb804ed769d218807544e5993f1c27427104b349906a0b654df0bf69328afd3013fbe430155339c39f236df5557bf92f1ded7ff609a8502f49064ec3d1dbfb6c15d3a4c11a4f8acd12278cbf68acd5709463d12e3338a6eddb8c112f199645e23154a8e60879d2a654e3ed9296aa28f134168619691cd2c6b9e2eba4438381676173fc63c2588a3c5910dc149cf3760f0aa9fa9c3f5faa9162b0bf1aac9dd32b706a60ef53cbdb394b6b40222b5bc80eea82ba8958386672564cae3794f977871ab62337cf02e30049201ec12937e7ce79d0f55d9c810e20acf52212aca1d3888949e0e4830aad88d804161230eb89d4d329cc83570fe257217d2119134048dd2ed167646975fc7d77136919a049ea74cf08ddd2b896890bb24a0ba18094a22baa351bf29ad96c66bbb1a598f2ca391749620e62d61c3561a7d3653ccc8892c7b99baaf76bf836e2991cb06d6bc0514568ff0d1ec8bb4b3d6984f5eaefb17d3ea2893722375d3ddb8e389a8eef7d7d198f8e687d6a513983df906099f9a2d23f4f9dec6f8ef2f11fc0a21fac45353b94e00486f5e17d386af42502d09db33cf0cf28310e049c07e88682aeeb00cb833c5174266e62407a57583f1f88b304b7c6e0c84bbe1c0fd423072d37a5bd0aacf764229e5c7cd02473460ba3645cd8e8ae144065bf02d0dd238593d8e230354f67e0b2f23012c23274f80e3ee31e35e2606a4a3f31d94ab755e6d163cff52cbb36b6d0cc67ffc512aeed1dce4d7a0d70ce82f2baba12e8d514dc92a056f994adfb17b5b9712bd5186f27a2fda1f7039c5df2c8587fdc62f5627580c13234b55be4df3056050e2d1ef3218f0dd66cb05265fe1acfb0989d8213f2c19d1735a7cf3fa65d88dad5af52dc2bba22b7abf46c3bc77b5091baab9e8f0ddc4d5e581037de91a9f8dcbc69309be29cc815cf19a20a7585b8b3073edf51fc9baeb3e509b97fa4ecfd621e0fd57bd61cac1b895c03248ff12bdbc57509250df3517e8a3fe1d776836b34ab352b973d932ef708b14f7418f9eceb1d87667e61e3e758649cb083f01b133d37ab2f5afa96d6c84bcacf4efc3851ad308c1e7d9113624fce29fab460ab9d2a48d92cdb281103a5250ad44cb2ff6e67ac670c02fdafb3e0f1353953d6d7d5646ca1568dea55275a050ec501b7c6250444f7219f1ba7521ba3b93d089727ca5f3bbe0d6c1300b423377004954c5628fdb65770b18ced5c9b23a4a5a6d6ef25fe01b4ce278de0bcc4ed86e28a0a68818ffa40970128cf2c38740e80037984428c1bd5113f40ff47512ee6f4e4d8f9b8e8e1b3040d2928d003bd1c1329dc885302fbce9fa81c23b4dc49c7c82d29b52957847898676c89aa5d32b5b0e1c0d5a2b79a19d67562f407f19425687971a957375879d90c5f57c857136c17106c9ab1b99d80e69c8c954ed386493368884b55c939b8d64d26f643e800c56f90c01079d7c534e3b2b7ae352cefd3016da55f6a85eb803b85e2304915fd2001f77c74e28746293c46e4f5f0fd49cf988aafd0026b8e7a3bab2da5cdce1ea26c2e29ec03f4807fac432662b2d6c060be1c7be0e5489de69d0a6e03a4b9117f9244b34a0f1ecba89884f781c6320412413a00c4980287409a2a78c2cd7e65cecebbe4ec1c28cac4dd95f6998e78fc6f1392384331c9436aa10e10e2bf8ad2c4eafbcf276aa7bae64b74428911b3269c749338b0fc5075ad",
391            expected: "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",
392            name: "nagydani_5_square",
393        },
394        Test {
395            input: "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",
396            expected: "5f9c70ec884926a89461056ad20ac4c30155e817f807e4d3f5bb743d789c83386762435c3627773fa77da5144451f2a8aad8adba88e0b669f5377c5e9bad70e45c86fe952b613f015a9953b8a5de5eaee4566acf98d41e327d93a35bd5cef4607d025e58951167957df4ff9b1627649d3943805472e5e293d3efb687cfd1e503faafeb2840a3e3b3f85d016051a58e1c9498aab72e63b748d834b31eb05d85dcde65e27834e266b85c75cc4ec0135135e0601cb93eeeb6e0010c8ceb65c4c319623c5e573a2c8c9fbbf7df68a930beb412d3f4dfd146175484f45d7afaa0d2e60684af9b34730f7c8438465ad3e1d0c3237336722f2aa51095bd5759f4b8ab4dda111b684aa3dac62a761722e7ae43495b7709933512c81c4e3c9133a51f7ce9f2b51fcec064f65779666960b4e45df3900f54311f5613e8012dd1b8efd359eda31a778264c72aa8bb419d862734d769076bce2810011989a45374e5c5d8729fec21427f0bf397eacbb4220f603cf463a4b0c94efd858ffd9768cd60d6ce68d755e0fbad007ce5c2223d70c7018345a102e4ab3c60a13a9e7794303156d4c2063e919f2153c13961fb324c80b240742f47773a7a8e25b3e3fb19b00ce839346c6eb3c732fbc6b888df0b1fe0a3d07b053a2e9402c267b2d62f794d8a2840526e3ade15ce2264496ccd7519571dfde47f7a4bb16292241c20b2be59f3f8fb4f6383f232d838c5a22d8c95b6834d9d2ca493f5a505ebe8899503b0e8f9b19e6e2dd81c1628b80016d02097e0134de51054c4e7674824d4d758760fc52377d2cad145e259aa2ffaf54139e1a66b1e0c1c191e32ac59474c6b526f5b3ba07d3e5ec286eddf531fcd5292869be58c9f22ef91026159f7cf9d05ef66b4299f4da48cc1635bf2243051d342d378a22c83390553e873713c0454ce5f3234397111ac3fe3207b86f0ed9fc025c81903e1748103692074f83824fda6341be4f95ff00b0a9a208c267e12fa01825054cc0513629bf3dbb56dc5b90d4316f87654a8be18227978ea0a8a522760cad620d0d14fd38920fb7321314062914275a5f99f677145a6979b156bd82ecd36f23f8e1273cc2759ecc0b2c69d94dad5211d1bed939dd87ed9e07b91d49713a6e16ade0a98aea789f04994e318e4ff2c8a188cd8d43aeb52c6daa3bc29b4af50ea82a247c5cd67b573b34cbadcc0a376d3bbd530d50367b42705d870f2e27a8197ef46070528bfe408360faa2ebb8bf76e9f388572842bcb119f4d84ee34ae31f5cc594f23705a49197b181fb78ed1ec99499c690f843a4d0cf2e226d118e9372271054fbabdcc5c92ae9fefaef0589cd0e722eaf30c1703ec4289c7fd81beaa8a455ccee5298e31e2080c10c366a6fcf56f7d13582ad0bcad037c612b710fc595b70fbefaaca23623b60c6c39b11beb8e5843b6b3dac60f",
397            name: "nagydani_5_qube",
398        },
399        Test {
400            input: "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",
401            expected: "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",
402            name: "nagydani_5_pow0x10001",
403        }
404    ];
405
406    const BYZANTIUM_GAS: [u64; 19] = [
407        360_217, 13_056, 13_056, 13_056, 204, 204, 3_276, 665, 665, 10_649, 1_894, 1_894, 30_310,
408        5_580, 5_580, 89_292, 17_868, 17_868, 285_900,
409    ];
410
411    const BERLIN_GAS: [u64; 19] = [
412        44_954, 1_360, 1_360, 1_360, 200, 200, 341, 200, 200, 1_365, 341, 341, 5_461, 1_365, 1_365,
413        21_845, 5_461, 5_461, 87_381,
414    ];
415
416    const OSAKA_GAS: [u64; 19] = [
417        453_596, 4_080, 4_080, 4_080, 500, 500, 2_048, 512, 512, 8_192, 2_048, 2_048, 32_768,
418        8_192, 8_192, 131_072, 32_768, 32_768, 524_288,
419    ];
420
421    #[test]
422    fn test_byzantium_modexp_gas() {
423        for (test, &test_gas) in TESTS.iter().zip(BYZANTIUM_GAS.iter()) {
424            let input = hex::decode(test.input).unwrap();
425            let res = byzantium_run(&input, 100_000_000).unwrap();
426            let expected = hex::decode(test.expected).unwrap();
427            assert_eq!(
428                res.gas_used, test_gas,
429                "used gas not matching for test: {}",
430                test.name
431            );
432            assert_eq!(res.bytes, expected, "test:{}", test.name);
433        }
434    }
435
436    #[test]
437    fn test_berlin_modexp_gas() {
438        for (test, &test_gas) in TESTS.iter().zip(BERLIN_GAS.iter()) {
439            let input = hex::decode(test.input).unwrap();
440            let res = berlin_run(&input, 100_000_000).unwrap();
441            let expected = hex::decode(test.expected).unwrap();
442            assert_eq!(
443                res.gas_used, test_gas,
444                "used gas not matching for test: {}",
445                test.name
446            );
447            assert_eq!(res.bytes, expected, "test:{}", test.name);
448        }
449    }
450
451    #[test]
452    fn test_osaka_modexp_gas() {
453        for (test, &test_gas) in TESTS.iter().zip(OSAKA_GAS.iter()) {
454            let input = hex::decode(test.input).unwrap();
455            let res = osaka_run(&input, 100_000_000).unwrap();
456            let expected = hex::decode(test.expected).unwrap();
457            assert_eq!(
458                res.gas_used, test_gas,
459                "used gas not matching for test: {}",
460                test.name
461            );
462            assert_eq!(res.bytes, expected, "test:{}", test.name);
463        }
464    }
465
466    #[test]
467    fn test_berlin_modexp_empty_input() {
468        let res = berlin_run(&Bytes::new(), 100_000).unwrap();
469        let expected: Vec<u8> = Vec::new();
470        assert_eq!(res.bytes, expected)
471    }
472
473    #[test]
474    fn test_osaka_modexp_input_len() {
475        #[derive(Debug)]
476        struct TestInput {
477            base_len: U256,
478            exp_len: U256,
479            mod_len: U256,
480            expected: Option<PrecompileError>,
481        }
482
483        impl TestInput {
484            fn input(&self) -> Bytes {
485                let mut input = vec![];
486                input.extend(&self.base_len.to_be_bytes::<32>());
487                input.extend(&self.exp_len.to_be_bytes::<32>());
488                input.extend(&self.mod_len.to_be_bytes::<32>());
489                Bytes::from(input)
490            }
491        }
492
493        let test_inputs = [
494            TestInput {
495                base_len: U256::from(1025),
496                exp_len: U256::from(1024),
497                mod_len: U256::from(1024),
498                expected: Some(PrecompileError::ModexpEip7823LimitSize),
499            },
500            TestInput {
501                base_len: U256::from(1024),
502                exp_len: U256::from(1025),
503                mod_len: U256::from(1024),
504                expected: Some(PrecompileError::ModexpEip7823LimitSize),
505            },
506            TestInput {
507                base_len: U256::from(1024),
508                exp_len: U256::from(1024),
509                mod_len: U256::from(1025),
510                expected: Some(PrecompileError::ModexpEip7823LimitSize),
511            },
512            TestInput {
513                base_len: U256::from(0),
514                exp_len: U256::from(0),
515                mod_len: U256::from(1025),
516                expected: Some(PrecompileError::ModexpEip7823LimitSize),
517            },
518            TestInput {
519                base_len: U256::from(1024),
520                exp_len: U256::from(1024),
521                mod_len: U256::from(1024),
522                expected: Some(PrecompileError::OutOfGas),
523            },
524            TestInput {
525                base_len: U256::from(0),
526                exp_len: U256::from(0),
527                mod_len: U256::from(0),
528                expected: None,
529            },
530        ];
531        for test in test_inputs {
532            let input = test.input();
533            let res = osaka_run(&input, 100_000_000).err();
534            if res != test.expected {
535                panic!("test failed: {test:?} result: {res:?}");
536            }
537        }
538    }
539
540    #[test]
541    fn test_modexp_edge_cases() {
542        // Test case 1: Zero base with non-zero exponent and modulus
543        let input = hex::decode(
544            "0000000000000000000000000000000000000000000000000000000000000001\
545             0000000000000000000000000000000000000000000000000000000000000001\
546             0000000000000000000000000000000000000000000000000000000000000001\
547             00\
548             05\
549             07",
550        )
551        .unwrap();
552        let res = byzantium_run(&input, 100_000).unwrap();
553        assert_eq!(res.bytes, vec![0x00], "0^5 mod 7 should be 0");
554
555        // Test case 2: Base equals modulus
556        let input = hex::decode(
557            "0000000000000000000000000000000000000000000000000000000000000001\
558             0000000000000000000000000000000000000000000000000000000000000001\
559             0000000000000000000000000000000000000000000000000000000000000001\
560             07\
561             03\
562             07",
563        )
564        .unwrap();
565        let res = byzantium_run(&input, 100_000).unwrap();
566        assert_eq!(res.bytes, vec![0x00], "7^3 mod 7 should be 0");
567
568        // Test case 3: Exponent is zero (result should always be 1)
569        let input = hex::decode(
570            "0000000000000000000000000000000000000000000000000000000000000001\
571             0000000000000000000000000000000000000000000000000000000000000000\
572             0000000000000000000000000000000000000000000000000000000000000001\
573             05\
574             07",
575        )
576        .unwrap();
577        let res = byzantium_run(&input, 100_000).unwrap();
578        assert_eq!(res.bytes, vec![0x01], "5^0 mod 7 should be 1");
579
580        // Test case 4: Large base with small modulus
581        // Actually, (2^256 - 1) mod 3 = 0, so 0^2 = 0
582        let input = hex::decode(
583            "0000000000000000000000000000000000000000000000000000000000000020\
584             0000000000000000000000000000000000000000000000000000000000000001\
585             0000000000000000000000000000000000000000000000000000000000000001\
586             ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff\
587             02\
588             03",
589        )
590        .unwrap();
591        let res = byzantium_run(&input, 100_000).unwrap();
592        // (2^256 - 1) = 0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
593        // This is divisible by 3, so (2^256 - 1) mod 3 = 0
594        // Therefore 0^2 mod 3 = 0
595        assert_eq!(
596            res.bytes,
597            vec![0x00],
598            "Large base mod 3 should reduce correctly"
599        );
600    }
601
602    #[test]
603    fn test_modexp_gas_edge_cases() {
604        // Test minimum gas consumption with empty input
605        // Byzantium has min_gas of 0 for empty input
606        let res = byzantium_run(&[], 100_000).unwrap();
607        assert_eq!(
608            res.gas_used, 0,
609            "Empty input should use 0 gas for Byzantium"
610        );
611
612        // Berlin has min_gas of 200
613        let res = berlin_run(&[], 100_000).unwrap();
614        assert_eq!(
615            res.gas_used, 200,
616            "Empty input should use minimum gas 200 for Berlin"
617        );
618
619        // Test gas consumption with very small inputs
620        let input = hex::decode(
621            "0000000000000000000000000000000000000000000000000000000000000001\
622             0000000000000000000000000000000000000000000000000000000000000001\
623             0000000000000000000000000000000000000000000000000000000000000001\
624             01\
625             01\
626             01",
627        )
628        .unwrap();
629        // For Byzantium, check that it computes correctly
630        let res = byzantium_run(&input, 100_000).unwrap();
631        assert_eq!(res.bytes, vec![0x00], "1^1 mod 1 = 0");
632
633        // For Berlin, minimum gas is 200
634        let res = berlin_run(&input, 100_000).unwrap();
635        assert_eq!(res.gas_used, 200, "Berlin should use minimum gas of 200");
636    }
637
638    #[test]
639    fn test_modexp_padding() {
640        // Test that results are properly padded to modulus length
641        let input = hex::decode(
642            "0000000000000000000000000000000000000000000000000000000000000001\
643             0000000000000000000000000000000000000000000000000000000000000001\
644             0000000000000000000000000000000000000000000000000000000000000020\
645             02\
646             03\
647             0000000000000000000000000000000000000000000000000000000000000101",
648        )
649        .unwrap();
650        let res = byzantium_run(&input, 100_000).unwrap();
651        assert_eq!(
652            res.bytes.len(),
653            32,
654            "Result should be padded to modulus length"
655        );
656        assert_eq!(res.bytes[31], 8, "2^3 mod 257 = 8");
657    }
658
659    #[test]
660    fn test_modexp_berlin_vs_byzantium_gas() {
661        // Test that Berlin gas costs are lower than Byzantium for the same input
662        let input = hex::decode(
663            "0000000000000000000000000000000000000000000000000000000000000020\
664             0000000000000000000000000000000000000000000000000000000000000020\
665             0000000000000000000000000000000000000000000000000000000000000020\
666             ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff\
667             ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff\
668             fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd",
669        )
670        .unwrap();
671
672        let byzantium_res = byzantium_run(&input, 10_000_000).unwrap();
673        let berlin_res = berlin_run(&input, 10_000_000).unwrap();
674
675        assert!(
676            berlin_res.gas_used < byzantium_res.gas_used,
677            "Berlin gas {} should be less than Byzantium gas {}",
678            berlin_res.gas_used,
679            byzantium_res.gas_used
680        );
681        assert_eq!(
682            byzantium_res.bytes, berlin_res.bytes,
683            "Results should be identical"
684        );
685    }
686
687    #[test]
688    fn test_modexp_osaka_size_limits() {
689        // Test Osaka's 1024-byte limit per parameter
690        let input = hex::decode(
691            "0000000000000000000000000000000000000000000000000000000000000400\
692             0000000000000000000000000000000000000000000000000000000000000001\
693             0000000000000000000000000000000000000000000000000000000000000001\
694             00\
695             01\
696             01",
697        )
698        .unwrap();
699
700        // Should succeed with exactly 1024 bytes
701        let res = osaka_run(&input, 100_000_000);
702        assert!(res.is_ok(), "1024-byte base should be allowed");
703
704        // Test with 1025 bytes - should fail
705        let input_fail = hex::decode(
706            "0000000000000000000000000000000000000000000000000000000000000401\
707             0000000000000000000000000000000000000000000000000000000000000001\
708             0000000000000000000000000000000000000000000000000000000000000001\
709             00\
710             01\
711             01",
712        )
713        .unwrap();
714
715        let res = osaka_run(&input_fail, 100_000_000);
716        assert!(
717            matches!(res, Err(PrecompileError::ModexpEip7823LimitSize)),
718            "1025-byte base should be rejected"
719        );
720    }
721
722    #[test]
723    fn test_modexp_input_truncation() {
724        // Test behavior when input is shorter than expected
725        let input = hex::decode(
726            "0000000000000000000000000000000000000000000000000000000000000002\
727             0000000000000000000000000000000000000000000000000000000000000002\
728             0000000000000000000000000000000000000000000000000000000000000002\
729             ff", // Only 1 byte provided for 2-byte base
730        )
731        .unwrap();
732
733        let res = byzantium_run(&input, 100_000).unwrap();
734        // Should pad with zeros and compute ff00^ff00 mod ff00
735        assert!(res.bytes.len() == 2, "Result should be 2 bytes");
736    }
737
738    #[test]
739    fn test_modexp_maximum_values() {
740        // Test with maximum U256 values
741        let input = hex::decode(
742            "0000000000000000000000000000000000000000000000000000000000000020\
743             0000000000000000000000000000000000000000000000000000000000000001\
744             0000000000000000000000000000000000000000000000000000000000000020\
745             ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff\
746             01\
747             fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe",
748        )
749        .unwrap();
750
751        let res = byzantium_run(&input, 10_000_000).unwrap();
752        assert_eq!(res.bytes.len(), 32, "Result should be 32 bytes");
753        // (2^256 - 1)^1 mod (2^256 - 2) = 1
754        assert_eq!(res.bytes[31], 1, "Max value mod (max-1) should be 1");
755    }
756
757    #[test]
758    fn test_modexp_consistency_across_forks() {
759        // Test that all three implementations give same results
760        let test_cases = vec![
761            // Small numbers
762            "0000000000000000000000000000000000000000000000000000000000000001\
763             0000000000000000000000000000000000000000000000000000000000000001\
764             0000000000000000000000000000000000000000000000000000000000000001\
765             03\
766             04\
767             05",
768            // Larger computation
769            "0000000000000000000000000000000000000000000000000000000000000008\
770             0000000000000000000000000000000000000000000000000000000000000008\
771             0000000000000000000000000000000000000000000000000000000000000008\
772             0123456789abcdef\
773             fedcba9876543210\
774             1000000000000001",
775        ];
776
777        for test_input in test_cases {
778            let input = hex::decode(test_input).unwrap();
779
780            let byzantium_res = byzantium_run(&input, 10_000_000).unwrap();
781            let berlin_res = berlin_run(&input, 10_000_000).unwrap();
782            let osaka_res = osaka_run(&input, 10_000_000).unwrap();
783
784            assert_eq!(
785                byzantium_res.bytes, berlin_res.bytes,
786                "Byzantium and Berlin results should match"
787            );
788            assert_eq!(
789                berlin_res.bytes, osaka_res.bytes,
790                "Berlin and Osaka results should match"
791            );
792        }
793    }
794
795    #[test]
796    fn test_modexp_out_of_gas() {
797        // Test that large inputs properly return out of gas error
798        let input = hex::decode(
799            "0000000000000000000000000000000000000000000000000000000000000100\
800             0000000000000000000000000000000000000000000000000000000000000100\
801             0000000000000000000000000000000000000000000000000000000000000100",
802        )
803        .unwrap();
804
805        // Provide insufficient gas
806        let res = byzantium_run(&input, 1000);
807        assert!(
808            matches!(res, Err(PrecompileError::OutOfGas)),
809            "Should return OutOfGas error with insufficient gas"
810        );
811    }
812}
revm_precompile/modexp.rs

revm_precompile/
modexp.rs
