feat(hints): add NewHint#61

[pefontana]

Implement Hint #61

    %{
        from starkware.python.math_utils import ec_double_slope
        from starkware.cairo.common.cairo_secp.secp_utils import pack
        SECP_P = 2**255-19

        # Compute the slope.
        x = pack(ids.point.x, PRIME)
        y = pack(ids.point.y, PRIME)
        value = slope = ec_double_slope(point=(x, y), alpha=42204101795669822316448953119945047945709099015225996174933988943478124189485, p=SECP_P)
    %}

Issue: #979

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	3.949 ± 0.103	3.805	4.183	1.01 ± 0.04
head blake2s_integration_benchmark	3.907 ± 0.101	3.797	4.129	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	4.722 ± 0.191	4.493	5.121	1.03 ± 0.04
head compare_arrays_200000	4.598 ± 0.060	4.522	4.737	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	3.501 ± 0.053	3.424	3.577	1.00 ± 0.02
head dict_integration_benchmark	3.485 ± 0.037	3.436	3.556	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base factorial_multirun	5.672 ± 0.069	5.577	5.815	1.00
head factorial_multirun	5.701 ± 0.113	5.597	5.969	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base fibonacci_1000_multirun	4.576 ± 0.097	4.413	4.722	1.01 ± 0.02
head fibonacci_1000_multirun	4.510 ± 0.050	4.423	4.580	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base field_arithmetic_get_square_benchmark	161.5 ± 7.0	153.4	170.6	1.02 ± 0.05
head field_arithmetic_get_square_benchmark	158.8 ± 4.3	153.5	167.2	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	4.493 ± 0.107	4.367	4.697	1.00 ± 0.03
head integration_builtins	4.490 ± 0.051	4.417	4.574	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	4.255 ± 0.060	4.173	4.391	1.00
head keccak_integration_benchmark	4.278 ± 0.047	4.233	4.351	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	4.797 ± 0.120	4.672	5.073	1.01 ± 0.03
head linear_search	4.764 ± 0.097	4.599	4.932	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	3.957 ± 0.170	3.814	4.361	1.00 ± 0.05
head math_cmp_and_pow_integration_benchmark	3.946 ± 0.086	3.862	4.139	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	3.647 ± 0.152	3.546	4.050	1.02 ± 0.05
head math_integration_benchmark	3.568 ± 0.080	3.473	3.673	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	3.157 ± 0.029	3.129	3.215	1.02 ± 0.02
head memory_integration_benchmark	3.103 ± 0.046	3.029	3.169	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	3.054 ± 0.030	3.001	3.102	1.00
head operations_with_data_structures_benchmarks	3.088 ± 0.082	2.996	3.285	1.01 ± 0.03

Command	Mean [s]	Min [s]	Max [s]	Relative
base pedersen	1.097 ± 0.082	1.055	1.324	1.04 ± 0.08
head pedersen	1.058 ± 0.016	1.041	1.096	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base poseidon_integration_benchmark	2.014 ± 0.037	1.949	2.071	1.02 ± 0.03
head poseidon_integration_benchmark	1.979 ± 0.038	1.930	2.066	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	3.622 ± 0.022	3.598	3.653	1.01 ± 0.01
head secp_integration_benchmark	3.594 ± 0.026	3.557	3.653	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base set_integration_benchmark	2.627 ± 0.042	2.563	2.719	1.00 ± 0.02
head set_integration_benchmark	2.627 ± 0.039	2.574	2.684	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	5.296 ± 0.044	5.218	5.344	1.00 ± 0.01
head uint256_integration_benchmark	5.274 ± 0.047	5.200	5.369	1.00

[codecov]

Codecov Report

Merging #1056 (29a54ae) into main (1feaba0) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##             main    #1056   +/-   ##
=======================================
  Coverage   98.08%   98.08%           
=======================================
  Files          84       84           
  Lines       33600    33645   +45     
=======================================
+ Hits        32957    33002   +45     
  Misses        643      643           

Impacted Files	Coverage Δ
...rocessor/builtin_hint_processor/secp/secp_utils.rs	100.00% <ø> (ø)
...int_processor/builtin_hint_processor_definition.rs	98.96% <100.00%> (+0.01%)	⬆️
..._processor/builtin_hint_processor/secp/ec_utils.rs	99.49% <100.00%> (+0.02%)	⬆️

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[juanbono]

LGTM