feat(hints): Add alternative string for hint IS_ZERO_PACK_EXTERNAL_SECP

[fmoletta]

Depends on #1081 (The hints are very similar, so I branched off of the previous one to make it easier to solve conflicts)

TITLE

Description

Description of the pull request changes and motivation.

Checklist

• Linked to Github Issue
• Unit tests added
• Integration tests added.
• This change requires new documentation.
  • Documentation has been added/updated.
  • CHANGELOG has been updated.

[github-actions]

Benchmark Results for unmodified programs 🚀

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	3.132 ± 0.086	3.041	3.299	1.00
head blake2s_integration_benchmark	3.133 ± 0.087	2.976	3.275	1.00 ± 0.04

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	3.851 ± 0.076	3.742	3.966	1.01 ± 0.03
head compare_arrays_200000	3.810 ± 0.100	3.700	4.016	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	2.853 ± 0.067	2.702	2.932	1.00
head dict_integration_benchmark	2.863 ± 0.059	2.781	2.944	1.00 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base factorial_multirun	4.618 ± 0.082	4.490	4.752	1.00
head factorial_multirun	4.631 ± 0.055	4.547	4.738	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base fibonacci_1000_multirun	3.680 ± 0.040	3.618	3.746	1.00
head fibonacci_1000_multirun	3.706 ± 0.055	3.623	3.784	1.01 ± 0.02

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base field_arithmetic_get_square_benchmark	145.2 ± 2.2	142.2	148.6	1.00
head field_arithmetic_get_square_benchmark	146.2 ± 2.6	142.5	150.0	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	3.644 ± 0.062	3.571	3.730	1.00
head integration_builtins	3.678 ± 0.057	3.579	3.759	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	3.398 ± 0.048	3.332	3.468	1.00
head keccak_integration_benchmark	3.431 ± 0.031	3.393	3.479	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	3.968 ± 0.029	3.925	4.033	1.02 ± 0.02
head linear_search	3.898 ± 0.064	3.829	4.023	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	3.315 ± 0.037	3.245	3.365	1.02 ± 0.02
head math_cmp_and_pow_integration_benchmark	3.242 ± 0.035	3.208	3.320	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	3.006 ± 0.088	2.899	3.226	1.01 ± 0.03
head math_integration_benchmark	2.962 ± 0.045	2.899	3.031	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	2.667 ± 0.107	2.592	2.955	1.02 ± 0.04
head memory_integration_benchmark	2.623 ± 0.042	2.559	2.671	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	2.632 ± 0.045	2.560	2.715	1.00 ± 0.04
head operations_with_data_structures_benchmarks	2.623 ± 0.085	2.471	2.696	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	890.4 ± 12.7	875.1	913.8	1.00
head pedersen	895.2 ± 12.8	880.5	917.4	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base poseidon_integration_benchmark	1.692 ± 0.034	1.644	1.753	1.03 ± 0.05
head poseidon_integration_benchmark	1.640 ± 0.069	1.545	1.716	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	2.886 ± 0.098	2.770	3.041	1.02 ± 0.04
head secp_integration_benchmark	2.819 ± 0.074	2.730	2.955	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base set_integration_benchmark	2.077 ± 0.074	1.960	2.188	1.02 ± 0.05
head set_integration_benchmark	2.033 ± 0.061	1.967	2.136	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	4.399 ± 0.065	4.350	4.562	1.00
head uint256_integration_benchmark	4.442 ± 0.137	4.282	4.700	1.01 ± 0.03

[codecov]

Codecov Report

Merging #1082 (5067fb0) into main (6b4b964) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##             main    #1082   +/-   ##
=======================================
  Coverage   98.10%   98.10%           
=======================================
  Files          84       84           
  Lines       34161    34164    +3     
=======================================
+ Hits        33515    33518    +3     
  Misses        646      646           

Impacted Files	Coverage Δ
...int_processor/builtin_hint_processor_definition.rs	99.02% <100.00%> (+<0.01%)	⬆️
...ocessor/builtin_hint_processor/secp/field_utils.rs	99.70% <100.00%> (+<0.01%)	⬆️

📣 We’re building smart automated test selection to slash your CI/CD build times. Learn more