feat(hints): add NewHint#13

[MegaRedHand]

Description

This PR adds the missing hint NewHint#13, now known as QUAD_BIT. I placed the implementation in the secp::ec_utils module because it's used in point multiplication via Shamir's trick + Windowed method.

[github-actions]

Benchmark Results for unmodified programs 🚀

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	3.595 ± 0.045	3.560	3.696	1.05 ± 0.03
head blake2s_integration_benchmark	3.436 ± 0.106	3.348	3.637	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	4.440 ± 0.063	4.370	4.549	1.04 ± 0.04
head compare_arrays_200000	4.280 ± 0.158	4.083	4.465	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	3.339 ± 0.040	3.294	3.410	1.01 ± 0.02
head dict_integration_benchmark	3.319 ± 0.044	3.267	3.394	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base factorial_multirun	5.085 ± 0.023	5.048	5.120	1.00
head factorial_multirun	5.254 ± 0.183	5.054	5.557	1.03 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base fibonacci_1000_multirun	4.152 ± 0.115	3.995	4.310	1.02 ± 0.04
head fibonacci_1000_multirun	4.051 ± 0.094	3.991	4.305	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	4.263 ± 0.043	4.183	4.322	1.00 ± 0.02
head integration_builtins	4.259 ± 0.048	4.206	4.356	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	3.652 ± 0.016	3.632	3.682	1.00
head keccak_integration_benchmark	3.656 ± 0.013	3.631	3.680	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	4.566 ± 0.041	4.522	4.646	1.00
head linear_search	4.600 ± 0.064	4.459	4.672	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	3.575 ± 0.024	3.545	3.625	1.00 ± 0.01
head math_cmp_and_pow_integration_benchmark	3.573 ± 0.023	3.550	3.624	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	3.520 ± 0.137	3.383	3.824	1.08 ± 0.04
head math_integration_benchmark	3.253 ± 0.013	3.230	3.278	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	2.940 ± 0.056	2.899	3.045	1.02 ± 0.02
head memory_integration_benchmark	2.884 ± 0.007	2.875	2.893	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	2.889 ± 0.012	2.871	2.915	1.01 ± 0.01
head operations_with_data_structures_benchmarks	2.864 ± 0.012	2.849	2.885	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base pedersen	4.026 ± 0.009	4.015	4.042	1.00
head pedersen	4.046 ± 0.029	4.024	4.102	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base poseidon_integration_benchmark	1.818 ± 0.032	1.793	1.878	1.01 ± 0.02
head poseidon_integration_benchmark	1.807 ± 0.015	1.795	1.846	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	3.227 ± 0.023	3.191	3.269	1.00 ± 0.01
head secp_integration_benchmark	3.219 ± 0.038	3.184	3.314	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base set_integration_benchmark	2.253 ± 0.029	2.230	2.307	1.01 ± 0.02
head set_integration_benchmark	2.221 ± 0.028	2.183	2.271	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	5.053 ± 0.029	5.029	5.125	1.01 ± 0.01
head uint256_integration_benchmark	5.018 ± 0.016	5.001	5.055	1.00

[codecov]

Codecov Report

Merging #1006 (88c72cb) into main (a199589) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##             main    #1006   +/-   ##
=======================================
  Coverage   98.02%   98.03%           
=======================================
  Files          76       76           
  Lines       31667    31729   +62     
=======================================
+ Hits        31043    31105   +62     
  Misses        624      624           

Impacted Files	Coverage Δ
...int_processor/builtin_hint_processor_definition.rs	98.80% <100.00%> (+<0.01%)	⬆️
..._processor/builtin_hint_processor/secp/ec_utils.rs	99.52% <100.00%> (+0.05%)	⬆️

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[Oppen]

point multiplication via Shamir's trick + Windowed method

I wanted to add this since someone mentioned it in the Hacker House at Tel Aviv, but couldn't remember the name of the trick to find it online.

[Oppen]

LGTM