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wip implemented new union for solve

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hugogogo
2026-05-08 01:00:03 +02:00
parent 0fcfd0260d
commit 43b4def6ce
9 changed files with 176 additions and 105 deletions
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README.md
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@@ -48,21 +48,34 @@ this project uses submodules (maybe recursively), so either :
-> if degree 3 :
- print degree
5. solve
-> discriminant : Δ = b² - 4ac
-> Δ > 0 -> 2 solutions : x = ( -b / 2a ) +- ( √|Δ| / 2a )
-> Δ == 0 -> : x = ( -b / 2a )
-> Δ < 0 -> 2 solutions : x = ( -b / 2a ) +- i( √|Δ| / 2a )
-> solution :
- delta_sign; // + or -
- delta_absolute; // |Δ|
- first_term_gcd; // gcd(b, 2a)
- first_term_numerator; // -b / gcd
- first_term_denominator; // 2a / gcd
- first_term; // double (-b / 2a)
- second_term_gcd; // gcd(√|Δ|, 2a)
- second_term_numerator; // √|Δ| / gcd
- second_term_denominator; // 2a / gcd
- second_term; // double (√|Δ| / 2a)
- double solution1; // first_term + second_term
- double solution2; // first_term - second_term
-> degree 1 :
-> ax + b = 0 <=> ax = -b <=> x = -b / a
-> solution :
- a; // double
- b; // double
- solution_gcd; // gcd(b, a)
- solution_numerator; // -b / gcd
- solution_denominator; // a / gcd
- solution; // double (-b / a)
-> degree 2 :
-> discriminant : Δ = b² - 4ac
-> Δ > 0 -> 2 solutions : x = ( -b / 2a ) +- ( √|Δ| / 2a )
-> Δ == 0 -> 1 solution : x = ( -b / 2a )
-> Δ < 0 -> 2 solutions : x = ( -b / 2a ) +- i( √|Δ| / 2a )
-> solution :
- a; // double
- b; // double
- c; // double
- delta_sign; // + or -
- delta_absolute; // |Δ|
- first_term_gcd; // gcd(b, 2a)
- first_term_numerator; // -b / gcd
- first_term_denominator; // 2a / gcd
- first_term; // double (-b / 2a)
- second_term_gcd; // gcd(√|Δ|, 2a)
- second_term_numerator; // √|Δ| / gcd
- second_term_denominator; // 2a / gcd
- second_term; // double (√|Δ| / 2a)
- double solution1; // first_term + second_term
- double solution2; // first_term - second_term
6. print solution