feat(hints): add NewHint#19

[MegaRedHand]

Depends on: #1026

Description

This PR adds the missing hint NewHint#19, now known as EC_DOUBLE_SLOPE_EXTERNAL_CONSTS.

[github-actions]

Benchmark Results for unmodified programs 🚀

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	3.165 ± 0.070	3.026	3.299	1.02 ± 0.03
head blake2s_integration_benchmark	3.116 ± 0.066	3.044	3.276	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	3.827 ± 0.068	3.735	3.943	1.01 ± 0.02
head compare_arrays_200000	3.775 ± 0.042	3.720	3.860	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	2.868 ± 0.031	2.831	2.919	1.01 ± 0.03
head dict_integration_benchmark	2.838 ± 0.079	2.734	3.000	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base factorial_multirun	4.591 ± 0.096	4.445	4.766	1.02 ± 0.02
head factorial_multirun	4.519 ± 0.052	4.444	4.608	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base fibonacci_1000_multirun	3.652 ± 0.036	3.590	3.713	1.01 ± 0.03
head fibonacci_1000_multirun	3.614 ± 0.092	3.505	3.829	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base field_arithmetic_get_square_benchmark	144.5 ± 5.1	139.9	158.0	1.01 ± 0.08
head field_arithmetic_get_square_benchmark	142.9 ± 10.5	133.1	168.7	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	3.558 ± 0.074	3.460	3.690	1.00 ± 0.03
head integration_builtins	3.544 ± 0.066	3.474	3.661	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	3.334 ± 0.085	3.258	3.538	1.00
head keccak_integration_benchmark	3.354 ± 0.028	3.304	3.400	1.01 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	3.906 ± 0.050	3.839	3.986	1.02 ± 0.02
head linear_search	3.846 ± 0.076	3.790	4.006	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	3.288 ± 0.046	3.216	3.349	1.04 ± 0.02
head math_cmp_and_pow_integration_benchmark	3.173 ± 0.028	3.143	3.238	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	2.893 ± 0.046	2.832	2.991	1.00
head math_integration_benchmark	2.920 ± 0.054	2.882	3.021	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	2.565 ± 0.045	2.517	2.672	1.00
head memory_integration_benchmark	2.582 ± 0.034	2.530	2.646	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	2.590 ± 0.034	2.534	2.669	1.00
head operations_with_data_structures_benchmarks	2.596 ± 0.054	2.533	2.699	1.00 ± 0.02

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	881.5 ± 13.5	867.6	914.1	1.01 ± 0.02
head pedersen	873.5 ± 12.8	855.1	892.8	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base poseidon_integration_benchmark	1.630 ± 0.034	1.602	1.713	1.00 ± 0.03
head poseidon_integration_benchmark	1.627 ± 0.026	1.589	1.672	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	2.888 ± 0.028	2.848	2.939	1.00
head secp_integration_benchmark	2.888 ± 0.060	2.828	3.045	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base set_integration_benchmark	2.016 ± 0.020	1.988	2.048	1.00
head set_integration_benchmark	2.049 ± 0.030	2.013	2.110	1.02 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	4.497 ± 0.113	4.329	4.667	1.01 ± 0.03
head uint256_integration_benchmark	4.438 ± 0.074	4.350	4.525	1.00

[codecov]

Codecov Report

Merging #1057 (e5658d4) into main (45a43aa) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##             main    #1057   +/-   ##
=======================================
  Coverage   98.09%   98.09%           
=======================================
  Files          84       84           
  Lines       33867    33926   +59     
=======================================
+ Hits        33222    33281   +59     
  Misses        645      645           

Impacted Files	Coverage Δ
...rocessor/builtin_hint_processor/secp/secp_utils.rs	100.00% <ø> (ø)
src/utils.rs	99.43% <ø> (ø)
...int_processor/builtin_hint_processor_definition.rs	99.00% <100.00%> (+<0.01%)	⬆️
..._processor/builtin_hint_processor/secp/ec_utils.rs	99.54% <100.00%> (+0.02%)	⬆️

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[MegaRedHand]

Rebased onto main after merge of #1026