add gcd if all int

README.md

@@ -2,7 +2,6 @@
 
 ## todo
 
-- create tester
 - if no "=" sign return error
 - doing gcd for int values, and not for double values
 - double is nearly_equal_0
@@ -20,63 +19,6 @@ this project uses submodules (maybe recursively), so either :
 - `git clone --recurse-submodules <repo-url>`
 - or, after cloning : `git submodule update --init --recursive`
 
-## steps
-
-1. lexer
-    -> tokens types : 
-      - TOKEN_VARIABLE      // x, y, etc.
-      - TOKEN_NUMBER_INT    // int
-      - TOKEN_NUMBER_DOUBLE // double
-      - TOKEN_POWER         // ^ or **
-      - TOKEN_SIGN_PLUS     // +
-      - TOKEN_SIGN_MINUS    // -
-      - TOKEN_FACTOR_MULT   // *
-      - TOKEN_FACTOR_DIV    // / or :
-      - TOKEN_EQUAL         // =
-      - END                 // null
-2. parser
-    -> terms : 
-      - POSITION    // left or righ from =
-      - SIGN        // + or -
-      - COEFFICIENT // double
-      - EXPONENT    // double
-3. reduce
-    -> polynom : 
-      - sign
-      - coefficient
-      - exponent
-4. print reduced form
-    -> print reduced form
-    -> if degree 1 :
-      - if c = 0  -> print "any real is a solution"
-      - if c != 0 -> print "no solution"
-    -> if degree 2 :
-      - print degree
-    -> if degree 3 :
-      - print degree
-5. solve
-    -> 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 : 
-        - delta_sign;              // + or -
-        - delta;                   // Δ
-        - delta_absolute;          // |Δ|
-        - delta_sqrt;              // √|Δ|
-        - first_term;              // double (-b / 2a)
-        - second_term;             // double (√|Δ| / 2a)
-6. print solution
 
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