Math implementation

build_c.sh

@@ -17,12 +17,17 @@ LINKER_ARGS="$(pkg-config --libs glib-2.0) -lm"
 rm -rf out bin
 mkdir out bin
 
-args="-l c -D C -o "$OUT_FILE" $SRC_FILES"
 echo "------------[fut]------------"
+
+args="-l c -D C -o "$OUT_FILE" $SRC_FILES"
+if [[ $1 == '--implement-math-functions' || $2 == '--implement-math-functions' ]]; then
+    args="$args -D IMPLEMENT_MATH_FUNCTIONS"
+fi
+
 echo fut $args
 fut $args
 
-if [[ $1 != '--translate-only' ]]; then
+if [[ $1 != '--translate-only' && $2 != '--translate-only' ]]; then
     echo "------------[gcc]------------"
     args="$WARNINGS $COMPILER_ARGS "$OUT_FILE" -o "$BIN_FILE" $INCLUDES $LINKER_ARGS"
     echo gcc $args

build_cs.sh

@@ -12,12 +12,17 @@ done
 for src_file in $SRC_FILES; do
     echo "---------[$src_file]---------"
     out_file="out/$(basename $src_file .fu).cs"
+    
     args="-l cs -D CS -n FusionCalculator $INCLUDES -o $out_file $src_file"
+    if [[ $1 == '--implement-math-functions' || $2 == '--implement-math-functions' ]]; then
+        args="$args -D IMPLEMENT_MATH_FUNCTIONS"
+    fi
+
     echo fut $args
     fut $args
 done
 
-if [[ $1 != '--translate-only' ]]; then
+if [[ $1 != '--translate-only' && $2 != '--translate-only' ]]; then
     echo "---------[FusionCalculator.csproj]---------"
     args="build -c Release FusionCalculator.exe.csproj -o bin"
     echo dotnet $args

src/Expressions/FunctionCallExpression.fu

@@ -11,13 +11,43 @@ abstract class FunctionCallExpression : IExpression {
 }
 
 class FunctionCallExpressionSin : FunctionCallExpression {
-    internal override double FunctionImplementation(double x) => Math.Sin(x);
+    internal override double FunctionImplementation(double x) {
+#if IMPLEMENT_MATH_FUNCTIONS
+        return MyMath.Sin(x);
+#else
+        return Math.Sin(x);
+#endif
     }
+}
+
 class FunctionCallExpressionCos : FunctionCallExpression {
-    internal override double FunctionImplementation(double x) => Math.Cos(x);
+    internal override double FunctionImplementation(double x) {
+#if IMPLEMENT_MATH_FUNCTIONS
+        return MyMath.Cos(x);
+#else
+        return Math.Cos(x);
+#endif
+    }
+}
+
+class FunctionCallExpressionTg : FunctionCallExpression {
+    internal override double FunctionImplementation(double x){
+#if IMPLEMENT_MATH_FUNCTIONS
+        return MyMath.Tg(x);
+#else 
+        return Math.Tan(x);
+#endif
+    }
+}
+
+class FunctionCallExpressionCtg : FunctionCallExpression {
+    internal override double FunctionImplementation(double x) {
+#if IMPLEMENT_MATH_FUNCTIONS
+        return MyMath.Ctg(x);
+#else 
+        return 1 / Math.Tan(x);
+#endif
     }
-class FunctionCallExpressionTan : FunctionCallExpression {
-    internal override double FunctionImplementation(double x) => Math.Tan(x);
 }
 
 class FunctionCallExpressionAsin : FunctionCallExpression {
@@ -26,10 +56,13 @@ class FunctionCallExpressionAsin : FunctionCallExpression {
 class FunctionCallExpressionAcos : FunctionCallExpression {
     internal override double FunctionImplementation(double x) => Math.Acos(x);
 }
-class FunctionCallExpressionAtan : FunctionCallExpression {
+class FunctionCallExpressionAtg : FunctionCallExpression {
     internal override double FunctionImplementation(double x) => Math.Atan(x);
 }
+class FunctionCallExpressionActg : FunctionCallExpression {
+    internal override double FunctionImplementation(double x) => Math.Atan(1 / x);
+}
 
-class FunctionCallExpressionLog : FunctionCallExpression{
+class FunctionCallExpressionLn : FunctionCallExpression{
     internal override double FunctionImplementation(double x) => Math.Log(x);
 }

src/Expressions/MyMath.fu

@@ -0,0 +1,50 @@
+//
+// My implementation of math functions using Taylor (Maclaurin) series
+// https://en.wikipedia.org/wiki/Taylor_series#List_of_Maclaurin_series_of_some_common_functions
+//
+public class MyMath {
+    /// TODO: fix fail on tg(pi/2), tg(pi*), ctg(pi*2)
+    static double ClampRadians(double x){
+        int quotient = 0;
+        double pi2 = 2*Math.PI;
+        native {
+            quotient = (int)(x / pi2);
+        }
+        x -= pi2 * quotient;
+        return x;
+    } 
+
+    public static double Sin(double x){
+        x = ClampRadians(x);
+        int iters = 16;
+        double pow = x;
+        double fact = 1;
+        double result = x;
+        for(int i = 3; i <= (2*iters+1); i+=2){
+            pow *= x*x; // x power +2
+            fact *= i * (i-1); // making i! from (i-2)!
+            fact *= -1; // change sign every iteration
+            result += pow/fact;
+        }
+        return result;
+    }
+
+    public static double Cos(double x){
+        x = ClampRadians(x);
+        int iters = 16;
+        double pow = 1;
+        double fact = 1;
+        double result = 1;
+        for(int i = 2; i <= (2*iters); i+=2){
+            pow *= x*x; // x power +2
+            fact *= i * (i-1); // making i! from (i-2)!
+            fact *= -1; // change sign every iteration
+            result += pow/fact;
+        }
+        return result;
+    }
+
+    public static double Tg(double x) => Sin(x)/Cos(x);
+
+    public static double Ctg(double x) => Cos(x)/Sin(x);
+}

src/Expressions/OperatorExpression.fu

@@ -29,17 +29,26 @@ class OperatorExpressionDiv : OperatorExpression {
 }
 
 class OperatorExpressionMod : OperatorExpression {
-    // returns if b>0 then returns a%b else returns a
     internal override double OperatorImplementation(double a, double b) {
-        if(b <= 0)
+        if(a == 0)
+            return b;
+        if(b == 0)
             return a;
         if(a > 0){
-            while(a >= b)
+            if(b > 0)
+                while(a-b >= 0)
                     a -= b;
+            else 
+                while(a+b >= 0)
+                    a += b;
         }
         else {
-            while(a <= b)
+            if(b > 0)
+                while(a+b <= 0)
                     a += b;
+            else 
+                while(a-b <= 0)
+                    a -= b;
         }
         return a;
     }

src/Lexer.fu

@@ -48,10 +48,19 @@ class Lexer {
                 case '/': AddStaticToken(TokDiv); break;
                 case '+': AddStaticToken(TokAdd); break;
                 case '-': 
-                    if(i != 0 && ExprStr[i-1] != '(')
+                    // if '-' is not the first char and previous char isn't '(' or 'e' or 'E'
+                    if(i != 0 && ExprStr[i-1] != '(' 
+                        && ExprStr[i-1] != 'e' && ExprStr[i-1] != 'E')
                         AddStaticToken(TokSub);
                     // else '-' is a part of numeric expression
                     break;
+                case 'e':
+                case 'E':
+                    // if token starts with 'E' it is a literal
+                    if(i == tokBegin)
+                        tokType = Token.Type_Literal;
+                    // else 'E' is a part of literal or number (sientific notation)
+                    break;
                 // try end token and skip current char
                 case ' ': case '\t': case '\n': case '\r':
                     TryEndToken();

src/MainClass.fu

@@ -2,14 +2,15 @@ public static class MainClass {
     public static void Main(string[] args){
         #if CS
         native {
-            System.Globalization.CultureInfo.DefaultThreadCurrentCulture =                System.Globalization.CultureInfo.InvariantCulture;
+            System.Globalization.CultureInfo.DefaultThreadCurrentCulture = 
+                System.Globalization.CultureInfo.InvariantCulture;
         }
         #endif
         string() joined = "";
         foreach(string arg in args){
             joined += arg + " ";
         }
-        double rezult = Calculator.Calculate(joined);
+        double result = Calculator.Calculate(joined);
-        Console.WriteLine(rezult);
+        Console.WriteLine(result);
     }
 }

src/Parser.fu

@@ -119,7 +119,11 @@ class Parser {
                             PushFunctionExpression(expressionStack, str, new FunctionCallExpressionCos());
                             break;
                         case "tan":
-                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionTan());
+                        case "tg":
+                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionTg());
+                            break;
+                        case "ctg":
+                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionCtg());
                             break;
                         case "asin":
                             PushFunctionExpression(expressionStack, str, new FunctionCallExpressionAsin());
@@ -128,10 +132,16 @@ class Parser {
                             PushFunctionExpression(expressionStack, str, new FunctionCallExpressionAcos());
                             break;
                         case "atan":
-                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionAtan());
+                        case "atg":
+                        case "arctg":
+                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionAtg());
                             break;
-                        case "log":
+                        case "actg":
-                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionLog());
+                        case "arcctg":
+                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionActg());
+                            break;
+                        case "ln":
+                            PushFunctionExpression(expressionStack, str, new FunctionCallExpressionLn());
                             break;
                         default: {
                             ThrowError($"invalid literal '{str}'");