wip implemented new union for solve
This commit is contained in:
64
Makefile
64
Makefile
@@ -118,38 +118,38 @@ run: $(NAME)
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-./$(NAME) -d "3x^2 + 2x -7x^4 = x^4"
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-./$(NAME) -d "3x^2 + 2x -7x^4 = x^4"
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@echo $(B_PURPLE)"\n---------------------------------------------\n9. run with utf8 \n"$(RESET)
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@echo $(B_PURPLE)"\n---------------------------------------------\n9. run with utf8 \n"$(RESET)
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-./$(NAME) -d "3x² + 2x -7x¹ = x"
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-./$(NAME) -d "3x² + 2x -7x¹ = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n10. run \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n10. run \n"$(RESET)
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-./$(NAME) "3x² + 2x -7 = x"
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# -./$(NAME) "3x² + 2x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n11. run \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n11. run \n"$(RESET)
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-./$(NAME) "-3x² + 2x -7 = x"
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# -./$(NAME) "-3x² + 2x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n12. run \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n12. run \n"$(RESET)
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-./$(NAME) "+3x² + 2x -7 = x"
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# -./$(NAME) "+3x² + 2x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n13. run \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n13. run \n"$(RESET)
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-./$(NAME) "3x² + 0x -7 = x"
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# -./$(NAME) "3x² + 0x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n14. run \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n14. run \n"$(RESET)
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-./$(NAME) "3x² + 0x -0 = x"
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# -./$(NAME) "3x² + 0x -0 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n15. run \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n15. run \n"$(RESET)
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-./$(NAME) "3x² + 2x -0 = x"
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# -./$(NAME) "3x² + 2x -0 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n16. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n16. run -b \n"$(RESET)
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-./$(NAME) -b "3x² + 2x -7 = x"
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# -./$(NAME) -b "3x² + 2x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n17. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n17. run -b \n"$(RESET)
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-./$(NAME) -b "-3x² + 2x -7 = x"
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# -./$(NAME) -b "-3x² + 2x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n18. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n18. run -b \n"$(RESET)
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-./$(NAME) -b "+3x² + 2x -7 = x"
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# -./$(NAME) -b "+3x² + 2x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n19. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n19. run -b \n"$(RESET)
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-./$(NAME) -b "3x² + 0x -7 = x"
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# -./$(NAME) -b "3x² + 0x -7 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n20. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n20. run -b \n"$(RESET)
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-./$(NAME) -b "3x² + 2x -0 = x"
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# -./$(NAME) -b "3x² + 2x -0 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n21. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n21. run -b \n"$(RESET)
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-./$(NAME) -b "3x² + 0x -0 = x"
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# -./$(NAME) -b "3x² + 0x -0 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n22. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n22. run -b \n"$(RESET)
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-./$(NAME) -b "3x² + x -0 = x"
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# -./$(NAME) -b "3x² + x -0 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n23. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n23. run -b \n"$(RESET)
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-./$(NAME) -b "0x² + x -0 = x"
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# -./$(NAME) -b "0x² + x -0 = x"
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@echo $(B_PURPLE)"\n---------------------------------------------\n24. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n24. run -b \n"$(RESET)
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-./$(NAME) -b "2x⁵ + x -0 = -7x^5"
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# -./$(NAME) -b "2x⁵ + x -0 = -7x^5"
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@echo $(B_PURPLE)"\n---------------------------------------------\n25. run -b \n"$(RESET)
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# @echo $(B_PURPLE)"\n---------------------------------------------\n25. run -b \n"$(RESET)
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-./$(NAME) -b "2x + x -0 = -7x"
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# -./$(NAME) -b "2x + x -0 = -7x"
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clean:
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clean:
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$(RM_OBJS)
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$(RM_OBJS)
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47
README.md
47
README.md
@@ -48,21 +48,34 @@ this project uses submodules (maybe recursively), so either :
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-> if degree 3 :
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-> if degree 3 :
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- print degree
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- print degree
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5. solve
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5. solve
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-> discriminant : Δ = b² - 4ac
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-> degree 1 :
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-> Δ > 0 -> 2 solutions : x = ( -b / 2a ) +- ( √|Δ| / 2a )
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-> ax + b = 0 <=> ax = -b <=> x = -b / a
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-> Δ == 0 -> : x = ( -b / 2a )
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-> solution :
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-> Δ < 0 -> 2 solutions : x = ( -b / 2a ) +- i( √|Δ| / 2a )
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- a; // double
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-> solution :
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- b; // double
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- delta_sign; // + or -
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- solution_gcd; // gcd(b, a)
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- delta_absolute; // |Δ|
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- solution_numerator; // -b / gcd
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- first_term_gcd; // gcd(b, 2a)
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- solution_denominator; // a / gcd
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- first_term_numerator; // -b / gcd
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- solution; // double (-b / a)
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- first_term_denominator; // 2a / gcd
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-> degree 2 :
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- first_term; // double (-b / 2a)
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-> discriminant : Δ = b² - 4ac
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- second_term_gcd; // gcd(√|Δ|, 2a)
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-> Δ > 0 -> 2 solutions : x = ( -b / 2a ) +- ( √|Δ| / 2a )
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- second_term_numerator; // √|Δ| / gcd
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-> Δ == 0 -> 1 solution : x = ( -b / 2a )
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- second_term_denominator; // 2a / gcd
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-> Δ < 0 -> 2 solutions : x = ( -b / 2a ) +- i( √|Δ| / 2a )
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- second_term; // double (√|Δ| / 2a)
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-> solution :
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- double solution1; // first_term + second_term
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- a; // double
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- double solution2; // first_term - second_term
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- b; // double
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- c; // double
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- delta_sign; // + or -
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- delta_absolute; // |Δ|
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- first_term_gcd; // gcd(b, 2a)
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- first_term_numerator; // -b / gcd
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- first_term_denominator; // 2a / gcd
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- first_term; // double (-b / 2a)
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- second_term_gcd; // gcd(√|Δ|, 2a)
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- second_term_numerator; // √|Δ| / gcd
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- second_term_denominator; // 2a / gcd
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- second_term; // double (√|Δ| / 2a)
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- double solution1; // first_term + second_term
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- double solution2; // first_term - second_term
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6. print solution
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6. print solution
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@@ -115,11 +115,19 @@ int reduce(s_term *terms, s_polynom *polynom, int max_exponent);
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typedef enum
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typedef enum
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{
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{
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DELTA_PLUS, // +
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DELTA_PLUS = 1,
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DELTA_MINUS, // -
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DELTA_MINUS = -1,
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DELTA_ZERO, // 0
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DELTA_ZERO = 0,
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} e_delta_sign;
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} e_delta_sign;
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typedef struct
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{
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int solution_gcd; // gcd(b, a)
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int solution_numerator; // -b / gcd
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int solution_denominator; // a / gcd
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double solution; // double (-b / a)
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} s_solution_degree_1;
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typedef struct
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typedef struct
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{
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{
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e_delta_sign delta_sign; // DELTA_PLUS or DELTA_MINUS or DELTA_ZERO
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e_delta_sign delta_sign; // DELTA_PLUS or DELTA_MINUS or DELTA_ZERO
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@@ -133,7 +141,17 @@ typedef struct
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int second_term_denominator; // 2a / gcd
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int second_term_denominator; // 2a / gcd
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double second_term; // double (√|Δ| / 2a)
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double second_term; // double (√|Δ| / 2a)
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double solution1; // first_term + second_term
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double solution1; // first_term + second_term
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double solution2; // first_term - second_term
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double solution2; // first_term - second_term (not if DELTA_ZERO)
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} s_solution_degree_2;
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typedef struct
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{
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int degree;
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union
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{
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s_solution_degree_1 solution_degree_1;
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s_solution_degree_2 solution_degree_2;
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};
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} s_solution;
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} s_solution;
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void solve(const s_polynom *polynom, s_solution *solution);
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void solve(const s_polynom *polynom, s_solution *solution);
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2
libft
2
libft
Submodule libft updated: 3cf0b6ecb9...8edf428fed
@@ -172,10 +172,11 @@ void launch_computorv1(char *input)
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print_reduced_form(polynom);
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print_reduced_form(polynom);
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print_degree(polynom, degree);
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print_degree(polynom, degree);
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// // solve
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// solve
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// s_solution solution[1];
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s_solution solution[1];
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// solution_g_err = solution;
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solution_g_err = solution;
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// solve(polynom, solution);
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solution[0].degree = degree;
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solve(polynom, solution);
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// print solution
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// print solution
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@@ -58,7 +58,7 @@ int reduce(s_term *terms, s_polynom *polynom, int max_exponent)
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// fill polynom
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// fill polynom
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polynom[i].coefficient = tmp_coefficient;
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polynom[i].coefficient = tmp_coefficient;
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polynom[i].exponent = max_exponent;
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polynom[i].exponent = max_exponent;
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polynom[i].sign = ft_sign_f(tmp_coefficient) == 1 ? TERM_PLUS : TERM_MINUS;
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polynom[i].sign = ft_fsign(tmp_coefficient) == 1 ? TERM_PLUS : TERM_MINUS;
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max_exponent--;
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max_exponent--;
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i++;
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i++;
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70
src/solver.c
70
src/solver.c
@@ -69,32 +69,43 @@ static int find_gcd(double numerator, double denominator)
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}
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}
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/*
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/*
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e_delta_sign delta_sign; // DELTA_PLUS or DELTA_MINUS or DELTA_ZERO
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typedef struct
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double delta_absolute; // |Δ| == |b² - 4ac|
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{
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int first_term_gcd; // gcd(b, 2a)
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double a; // a in "ax + b"
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int first_term_numerator; // -b / gcd
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double b; // b in "ax + b"
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int first_term_denominator; // 2a / gcd
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int solution_gcd; // gcd(b, a)
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double first_term; // double (-b / 2a)
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int solution_numerator; // -b / gcd
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int second_term_gcd; // gcd(√|Δ|, 2a)
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int solution_denominator; // a / gcd
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int second_term_numerator; // √|Δ| / gcd
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double solution; // double (-b / a)
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int second_term_denominator; // 2a / gcd
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} s_solution_degree_1;
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double second_term; // double (√|Δ| / 2a)
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*/
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double solution1; // first_term + second_term
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/*
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double solution2; // first_term - second_term
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typedef struct
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{
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double a; // a in "ax² + bx + c"
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double b; // b in "ax² + bx + c"
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double c; // c in "ax² + bx + c"
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e_delta_sign delta_sign; // DELTA_PLUS or DELTA_MINUS or DELTA_ZERO
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double delta_absolute; // |Δ| == |b² - 4ac|
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int first_term_gcd; // gcd(b, 2a)
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int first_term_numerator; // -b / gcd
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int first_term_denominator; // 2a / gcd
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double first_term; // double (-b / 2a)
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int second_term_gcd; // gcd(√|Δ|, 2a)
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int second_term_numerator; // √|Δ| / gcd
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int second_term_denominator; // 2a / gcd
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double second_term; // double (√|Δ| / 2a)
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double solution1; // first_term + second_term
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double solution2; // first_term - second_term (not if DELTA_ZERO)
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} s_solution_degree_2;
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*/
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*/
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void solve(const s_polynom *polynom, s_solution *solution)
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static void solve_degree_2(s_solution_degree_2 *solution, double a, double b, double c)
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{
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{
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double delta;
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double delta;
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double a;
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double b;
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double c;
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a = polynom[2].coefficient;
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b = polynom[1].coefficient;
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c = polynom[0].coefficient;
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delta = b * b - 4 * a * c;
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delta = b * b - 4 * a * c;
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solution->delta_sign = ft_sign_f(delta);
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solution->delta_sign = ft_fsign(delta);
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solution->delta_absolute = ft_fabs(delta);
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solution->delta_absolute = ft_fabs(delta);
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solution->first_term_gcd = find_gcd(b, 2 * a);
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solution->first_term_gcd = find_gcd(b, 2 * a);
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solution->first_term_numerator = -b / solution->first_term_gcd;
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solution->first_term_numerator = -b / solution->first_term_gcd;
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@@ -114,3 +125,22 @@ void solve(const s_polynom *polynom, s_solution *solution)
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// solution->solution2 = 0.0;
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// solution->solution2 = 0.0;
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// }
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// }
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}
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}
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void solve(const s_polynom *polynom, s_solution *solution)
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{
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double a;
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double b;
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double c;
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if (solution->degree == 1)
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{
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}
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else if (solution->degree == 2)
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{
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a = polynom[0].coefficient;
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b = polynom[1].coefficient;
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c = polynom[2].coefficient;
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solve_degree_2(&solution->solution_degree_2, a, b, c);
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}
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}
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@@ -71,18 +71,27 @@ static void print_context_polynom()
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static void print_context_solution()
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static void print_context_solution()
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{
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{
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dprintf(STDERR_FILENO, "delta_sign : %25s\n", delta_sign_to_str(solution_g_err->delta_sign));
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s_solution_degree_2 solution_2;
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dprintf(STDERR_FILENO, "delta_absolute : %25g (|b² - 4ac|)\n", solution_g_err->delta_absolute);
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dprintf(STDERR_FILENO, "first_term_gcd : %25i\n", solution_g_err->first_term_gcd);
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if (solution_g_err->degree == 2)
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dprintf(STDERR_FILENO, "first_term_numerator : %25i (-b / gcd)\n", solution_g_err->first_term_numerator);
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{
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dprintf(STDERR_FILENO, "first_term_denominator : %25i (2a / gcd)\n", solution_g_err->first_term_denominator);
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solution_2 = solution_g_err->solution_degree_2;
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dprintf(STDERR_FILENO, "first_term : %25g (-b / 2a)\n", solution_g_err->first_term);
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dprintf(STDERR_FILENO, "degree 2 : delta > 0 ( -b/2a +- √Δ/2a )\n");
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// dprintf(STDERR_FILENO, "second_term_gcd : %25g\n", solution_g_err->second_term_gcd);
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dprintf(STDERR_FILENO, " delta == 0 ( -b/2a )\n");
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// dprintf(STDERR_FILENO, "second_term_numerator : %25g\n", solution_g_err->second_term_numerator);
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dprintf(STDERR_FILENO, " delta < 0 ( -b/2a +- i√|Δ|/2a )\n");
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// dprintf(STDERR_FILENO, "second_term_denominator: %25g\n", solution_g_err->second_term_denominator);
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dprintf(STDERR_FILENO, "delta_sign : %25s\n", delta_sign_to_str(solution_2.delta_sign));
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// dprintf(STDERR_FILENO, "second_term : %25g\n", solution_g_err->second_term);
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dprintf(STDERR_FILENO, "delta_absolute : %25g (|b² - 4ac|)\n", solution_2.delta_absolute);
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// dprintf(STDERR_FILENO, "solution1 : %25g\n", solution_g_err->solution1);
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dprintf(STDERR_FILENO, "first_term_gcd : %25i\n", solution_2.first_term_gcd);
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// dprintf(STDERR_FILENO, "solution2 : %25g\n", solution_g_err->solution2);
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dprintf(STDERR_FILENO, "first_term_numerator : %25i (-b / gcd)\n", solution_2.first_term_numerator);
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dprintf(STDERR_FILENO, "first_term_denominator : %25i (2a / gcd)\n", solution_2.first_term_denominator);
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dprintf(STDERR_FILENO, "first_term : %25g (-b / 2a)\n", solution_2.first_term);
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// dprintf(STDERR_FILENO, "second_term_gcd : %25g\n", solution_2.second_term_gcd);
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// dprintf(STDERR_FILENO, "second_term_numerator : %25g\n", solution_2.second_term_numerator);
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// dprintf(STDERR_FILENO, "second_term_denominator: %25g\n", solution_2.second_term_denominator);
|
||||||
|
// dprintf(STDERR_FILENO, "second_term : %25g\n", solution_2.second_term);
|
||||||
|
// dprintf(STDERR_FILENO, "solution1 : %25g\n", solution_2.solution1);
|
||||||
|
// dprintf(STDERR_FILENO, "solution2 : %25g\n", solution_2.solution2);
|
||||||
|
}
|
||||||
|
|
||||||
ft_putchar_fd('\n', STDERR_FILENO);
|
ft_putchar_fd('\n', STDERR_FILENO);
|
||||||
}
|
}
|
||||||
|
|||||||
@@ -49,24 +49,24 @@ const char *term_position_to_str(e_term_position enum_value)
|
|||||||
|
|
||||||
const char *term_sign_to_str(e_term_sign enum_value)
|
const char *term_sign_to_str(e_term_sign enum_value)
|
||||||
{
|
{
|
||||||
if (enum_value > TERM_SIGN_END || enum_value < TERM_PLUS)
|
if (enum_value == TERM_PLUS)
|
||||||
|
return "TERM_PLUS";
|
||||||
|
else if (enum_value == TERM_MINUS)
|
||||||
|
return "TERM_MINUS";
|
||||||
|
else if (enum_value == TERM_SIGN_END)
|
||||||
|
return "TERM_SIGN_END";
|
||||||
|
else
|
||||||
return "invalid enum value";
|
return "invalid enum value";
|
||||||
|
|
||||||
static const char *const term_sign_str[TERM_SIGN_END + 1] = {
|
|
||||||
[TERM_PLUS] = "TERM_PLUS",
|
|
||||||
[TERM_MINUS] = "TERM_MINUS",
|
|
||||||
[TERM_SIGN_END] = "TERM_SIGN_END"};
|
|
||||||
return term_sign_str[enum_value];
|
|
||||||
}
|
}
|
||||||
|
|
||||||
const char *delta_sign_to_str(e_delta_sign enum_value)
|
const char *delta_sign_to_str(e_delta_sign enum_value)
|
||||||
{
|
{
|
||||||
if (enum_value > DELTA_ZERO || enum_value < DELTA_PLUS)
|
if (enum_value == DELTA_PLUS)
|
||||||
|
return "DELTA_PLUS";
|
||||||
|
else if (enum_value == DELTA_MINUS)
|
||||||
|
return "DELTA_MINUS";
|
||||||
|
else if (enum_value == DELTA_ZERO)
|
||||||
|
return "DELTA_ZERO";
|
||||||
|
else
|
||||||
return "invalid enum value";
|
return "invalid enum value";
|
||||||
|
|
||||||
static const char *const delta_sign_str[DELTA_ZERO + 1] = {
|
|
||||||
[DELTA_PLUS] = "DELTA_PLUS",
|
|
||||||
[DELTA_MINUS] = "DELTA_MINUS",
|
|
||||||
[DELTA_ZERO] = "DELTA_ZERO"};
|
|
||||||
return delta_sign_str[enum_value];
|
|
||||||
}
|
}
|
||||||
Reference in New Issue
Block a user