add logic for pure quadratics

headers/computorv1.h

@@ -124,6 +124,13 @@ typedef enum
     DELTA_MINUS = -1,
 } e_delta_sign;
 
+typedef enum
+{
+    RADICAND_ZERO = 0,
+    RADICAND_PLUS = 1,
+    RADICAND_MINUS = -1,
+} e_radicand_sign;
+
 typedef struct
 {
     double a;        // a in "ax + b"
@@ -136,8 +143,8 @@ typedef struct
     double a;                   // a in "ax² + bx + c"
     double b;                   // b in "ax² + bx + c"
     double c;                   // c in "ax² + bx + c"
-    e_delta_sign delta_sign;    // DELTA_PLUS or DELTA_MINUS or DELTA_ZERO
     double delta;               // Δ == b² - 4ac
+    e_delta_sign delta_sign;    // DELTA_PLUS or DELTA_MINUS or DELTA_ZERO
     double delta_absolute;      // |Δ|
     double delta_sqrt;          // √|Δ|
     double left_term;           // double (-b / 2a)
@@ -149,13 +156,29 @@ typedef struct
     int right_term_denominator; // 2a / gcd
 } s_solution_degree_2;
 
+typedef struct
+{
+    double a;                      // a in "ax² + c"
+    double c;                      // c in "ax² + c"
+    double radicand;               // x² = -c/a
+    e_radicand_sign radicand_sign; // RADICAND_PLUS or RADICAND_MINUS or RADICAND_ZERO
+    double radicand_absolute;      // |radicand|
+    double radicand_sqrt;          // √|radicand|
+    double numerator_sqrt;         // √a
+    bool numerator_sqrt_is_int;    // false if √a is a double
+    double denominator_sqrt;       // √c
+    bool denominator_sqrt_is_int;  // false if √c is a double
+} s_solution_degree_2_pure;
+
 typedef struct
 {
     int degree;
+    bool is_quadratic_pure;
     union
     {
         s_solution_degree_1 solution_degree_1;
         s_solution_degree_2 solution_degree_2;
+        s_solution_degree_2_pure solution_degree_2_pure;
     };
 } s_solution;
 
@@ -166,6 +189,10 @@ void solve(const s_polynom *polynom, s_solution *solution);
  */
 
 bool is_nearly_equal_zero(double num);
+bool has_decimal_part(double num);
+bool any_has_decimal_part(double *num, size_t len);
+int gcd_int(int a, int b);
+int reduce_fraction(double *numerator, double *denominator);
 
 /** * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
  * UTILS/ERRORS.C
@@ -183,6 +210,7 @@ const char *token_tag_to_str(e_token_tag tag);
 const char *term_position_to_str(e_term_position pos);
 const char *term_sign_to_str(e_term_sign sign);
 const char *delta_sign_to_str(e_delta_sign sign);
+const char *radicand_sign_to_str(e_radicand_sign enum_value);
 
 /** * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
  * UTILS/PRINT_DEBUG.C