Feature: function images generator

build.bat

@@ -2,8 +2,8 @@ rm generator.exe
 rm gui.exe
 
 cd src
-fpc main.pas
-mv main.exe ../generator.exe
+fpc mandelbrot_imaging.pas
+mv mandelbrot_imaging.exe ../generator.exe
 cd gui
 fpc gui.pas
 mv gui.exe ../../gui.exe

src/BMPImage.pas

@@ -13,7 +13,7 @@ type
     procedure set_color(tr: byte; tg: byte; tb: byte);
     procedure reset();
   end;
-
+  
   TPxData = array of array of TColor;
 
   TBMPImage = object
@@ -37,6 +37,7 @@ type
       function get_height(): integer;
 
       procedure open(path: string);
+      procedure save(path: string);
       procedure save(path: string; monochrome: boolean);
   end;
 
@@ -196,6 +197,11 @@ begin
   end;
 end;
 
+procedure TBMPImage.save(path: string);
+begin
+  save(path, false);
+end;
+
 procedure TBMPImage.save(path: string; monochrome: boolean);
 var
   ostream: TFileStream;

src/function_imaging.pas

@@ -0,0 +1,152 @@
+{$MODE OBJFPC}
+
+uses fpexprpars, sysutils, 
+     BMPImage, utils;
+
+type
+  TArgs = record
+    width: longint;
+    height: longint;
+    f: string;
+    zoom: extended;
+    centerX: extended;
+    centerY: extended;
+    outPath: string;
+  end;
+  
+procedure setDefaultArgs(var args: TArgs);
+begin
+  with args do begin
+    width := 512;
+    height := 512;
+    f := 'sin(x) - y';
+    zoom := 10;
+    centerX := 0;
+    centerY := 0;
+    outPath := './function_images';
+  end;
+end;
+
+procedure getArgs(var args: TArgs);
+var
+  param: string;
+begin
+  try
+    args.width := strToInt(ParamStr(1));
+    args.height := strToInt(ParamStr(2));
+    args.f := ParamStr(3);
+    args.zoom := StrToFloat(ParamStr(4)) * 10;
+    args.centerX := StrToFloat(ParamStr(5));
+    args.centerY := StrToFloat(ParamStr(6));
+    
+    param := ParamStr(7);
+    if (length(param) > 0) then begin
+      args.outPath := param;
+    end;
+  except
+  end;
+end;
+
+function getFilename(args: TArgs): string;
+var
+  fname: string;
+  fn: string;
+begin
+  fname := '{f}_(z={z},cx={cx},cy={cy},WxH={w}x{h}).bmp';
+  
+  fn := stringReplace(args.f, ' ', '', [rfReplaceAll]);
+  fname := StringReplace(fname, '{f}', fn, []);
+  fname := StringReplace(fname, '{z}', floatToStr(args.zoom), []);
+  fname := StringReplace(fname, '{cx}', floatToStr(args.centerX), []);
+  fname := StringReplace(fname, '{cy}', floatToStr(args.centerY), []);
+  fname := StringReplace(fname, '{w}', intToStr(args.width), []);
+  fname := StringReplace(fname, '{h}', intToStr(args.height), []);
+  
+  getFilename := fname;
+end;
+
+function getPxData(args: TArgs): TPxData;
+var
+  pxData: TPxData;
+  fParser: TFPExpressionParser;
+  argX, argY: TFPExprIdentifierDef;
+  x, y, intense: integer;
+  convX, convY, fRes: extended;
+  ineq: boolean;
+begin
+  setLength(pxData, args.width, args.height);
+  fParser := TFPExpressionParser.create(nil);
+  
+  try
+    fParser.builtIns := [bcMath];
+    argX := fParser.identifiers.addFloatVariable('x', 0.0);
+    argY := fParser.identifiers.addFloatVariable('y', 0.0);
+    //fParser.expression := 'sin(x*x*x * y*y) - cos(x*x * y*y*y)';
+    fParser.expression := args.f;
+    
+    ineq := (pos('>', fParser.expression) <> 0) or (pos('>=', fParser.expression) <> 0) or (pos('<', fParser.expression) <> 0) or (pos('<=', fParser.expression) <> 0); 
+    
+    for y := 0 to args.height - 1 do begin
+      for x := 0 to args.width - 1 do begin
+        convX := ((x - args.width / 2) / args.zoom) + args.centerX;
+        convY := -(y - args.height / 2) / args.zoom + args.centerY;
+        
+        if (abs(convX) < (1 / args.zoom)) or (abs(convY) < (1 / args.zoom)) then begin
+          pxData[x][y].set_color(0, 255, 0);
+        end else begin
+          try
+            argX.asFloat := convX;
+            argY.asFloat := convY;
+            if (ineq) then begin
+              if (fParser.evaluate().resBoolean) then begin
+                pxData[x][y].set_color(0, 0, 0);
+              end else begin
+                pxData[x][y].set_color(255, 255, 255);
+              end;
+            end else begin
+              fRes := fParser.evaluate().resFloat;
+              
+              if (abs(fRes) > (1 / args.zoom)) then begin
+                pxData[x][y].set_color(255, 255, 255);
+              end else begin
+                intense := round(abs(fRes) / (1 / args.zoom));
+                pxData[x][y].set_color(intense, intense, intense);
+              end;
+            end;
+          except
+            pxData[x][y].set_color(255, 255, 255);
+          end;
+        end;
+      end;
+    end;
+  finally
+    fParser.free();
+  end;
+  
+  getPxData := pxData;
+end;
+
+var
+  args: TArgs;
+  outPath: string;
+  filename: string;
+  
+  img: TBMPImage;
+  color: TColor;
+  pxData: TPxData;
+begin
+  setDefaultArgs(args);
+  getArgs(args);
+  
+  pxData := getPxData(args);
+  
+  color.set_color(255, 255, 255);
+  img.init(args.width, args.height, color);
+  img.set_pixel_data(pxData);
+  
+  filename := getFilename(args);
+  outPath := args.outPath + '/' + filename;
+  img.save(outPath);
+  
+  writeln('Image generated and saved at ' + outPath);
+end.

src/mandelbrot_imaging.pas

@@ -1,4 +1,4 @@
-uses sysutils, BMPImage, ucomplex;
+uses sysutils, BMPImage, ucomplex, utils;
 
 type
   TArgs = record
@@ -10,35 +10,10 @@ type
     center_y: extended;
     out_path: string;
   end;
-  TPxData = array of array of TColor;
 
 const save_path = './images/generated/';
 const help_text = 'Usage: command <width = 512> <height = 512> <power = 2> <zoom = 1> <centerX = 0> <centerY = 0> <out_path = ./images>';
 
-function get_filename(base_name: string; zoom: extended; center_x: extended; center_y: extended): string;
-var
-  z, cx, cy: string;
-begin
-  z := FloatToStr(zoom);
-  cx := FloatToStr(center_x);
-  cy := FloatToStr(center_y);
-
-  get_filename := base_name + '_(z=' + z + ';cx=' + cx + ';cy=' + cy + ').bmp'
-end;
-
-type Point2D = object
-  x: extended;
-  y: extended;
-
-  procedure update(px: extended; py: extended);
-end;
-
-procedure Point2D.update(px: extended; py: extended);
-begin
-  x := px;
-  y := py;
-end;
-
 {function f(x: integer): integer;
 begin
   f := round(2 * sin(x) + 3);

src/utils.pas

@@ -0,0 +1,37 @@
+unit utils;
+
+interface
+
+uses sysutils;
+
+type
+  Point2D = object
+    x: extended;
+    y: extended;
+
+    procedure update(px: extended; py: extended);
+  end;
+
+function get_filename(base_name: string; zoom: extended; center_x: extended; center_y: extended): string;
+
+implementation
+
+procedure Point2D.update(px: extended; py: extended);
+begin
+  x := px;
+  y := py;
+end;
+
+function get_filename(base_name: string; zoom: extended; center_x: extended; center_y: extended): string;
+var
+  z, cx, cy: string;
+begin
+  z := FloatToStr(zoom);
+  cx := FloatToStr(center_x);
+  cy := FloatToStr(center_y);
+
+  get_filename := base_name + '_(z=' + z + ';cx=' + cx + ';cy=' + cy + ').bmp'
+end;
+
+begin
+end.