159 lines
5.5 KiB
Markdown
159 lines
5.5 KiB
Markdown
# MathArctan2
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Return the angle (in radians) whose tangent is the quotient of two specified numbers.
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```
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double MathArctan2(
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double y // The y coordinate of a point
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double x // The x coordinate of a point
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);
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```
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Parameters
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y
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[in] Y coordinate value.
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x
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[in] X coordinate value.
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Return Value
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MathArctan2 returns an angle, θ, within the range from -π to π radians, so that MathTan(θ)=y/x.
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Please note as follows:
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- For (x, y) in quadrant 1, 0< θ < π/2
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- For (x, y) in quadrant 2, π/2< θ ≤ π
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- For (x, y) in quadrant 3, -π < θ < -π/2
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- For (x, y) in quadrant 4, -π/2 < θ < 0
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For points on the boundaries of the quadrants, the return value is the following:
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- If y is 0 and x is not negative, θ = 0.
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- If y is 0 and x is negative, θ = π.
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- If y is positive and x is 0, θ = π/2.
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- If y is negative and x is 0, θ = -π/2.
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- If y is 0 and x is 0, θ = 0.
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Note
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Instead of the MathArctan2() function, you can use the atan2() function.
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Example:
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```
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#define GRAPH_WIDTH 750
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#define GRAPH_HEIGHT 350
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#include <Graphics\Graphic.mqh>
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CGraphic ExtGraph;
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//+------------------------------------------------------------------+
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//| Script program start function |
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//+------------------------------------------------------------------+
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void OnStart()
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{
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vector delta=vector::Full(10,10);
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delta[0]=0;
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//--- get 101 values from 0 to 2 pi with delta step
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vector X=delta.CumSum();
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//--- calculate the arc tangent value for each value of the X vector
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vector Y=delta.CumSum();
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Print("vector delta = \n",delta);
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Print("vector X = \n",X);
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Print("vector Y = \n",Y);
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//--- transfer the calculated values from vectors to arrays
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double x_array[];;
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double y_array[];;
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X.Swap(x_array);
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Y.Swap(y_array);
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double array[10];
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for(int i=0; i<10; i++)
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{
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array[i]=MathArctan2(y_array[i],x_array[i]);
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}
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//--- draw a graph of the calculated vector values
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CurvePlot(x_array,y_array,clrDodgerBlue);
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//--- wait for pressing the Escape or PgDn keys to delete the graph (take a screenshot) and exit
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while(!IsStopped())
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{
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if(StopKeyPressed())
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break;
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Sleep(16);
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}
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//--- clean up
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ExtGraph.Destroy();
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}
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//+------------------------------------------------------------------+
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//| When pressing ESC, return 'true' |
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//| When pressing PgDn, take a graph screenshot and return 'true' |
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//| Otherwise, return 'false' |
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//+------------------------------------------------------------------+
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bool StopKeyPressed()
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{
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//--- if ESC is pressed, return 'true'
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if(TerminalInfoInteger(TERMINAL_KEYSTATE_ESCAPE)!=0)
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return(true);
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//--- if PgDn is pressed and a graph screenshot is successfully taken, return 'true'
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if(TerminalInfoInteger(TERMINAL_KEYSTATE_PAGEDOWN)!=0 && MakeAndSaveScreenshot(MQLInfoString(MQL_PROGRAM_NAME)+"_Screenshot"))
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return(true);
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//--- return 'false'
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return(false);
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}
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//+------------------------------------------------------------------+
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//| Create a graph object and draw a curve |
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//+------------------------------------------------------------------+
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void CurvePlot(double &x_array[], double &y_array[], const color colour)
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{
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ExtGraph.Create(ChartID(), "Graphic", 0, 0, 0, GRAPH_WIDTH, GRAPH_HEIGHT);
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ExtGraph.CurveAdd(x_array, y_array, ColorToARGB(colour), CURVE_LINES);
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ExtGraph.IndentUp(30);
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ExtGraph.CurvePlotAll();
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string text1="Press ESC to delete the graph and stop the script, or";
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string text2="Press PgDn to create a screen, delete the graph and stop the script";
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ExtGraph.TextAdd(54, 9, text1, ColorToARGB(clrBlack));
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ExtGraph.TextAdd(54,21, text2, ColorToARGB(clrBlack));
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ExtGraph.Update();
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}
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//+------------------------------------------------------------------+
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//| Take a screenshot and save the image to a file |
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//+------------------------------------------------------------------+
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bool MakeAndSaveScreenshot(const string file_name)
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{
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string file_names[];
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ResetLastError();
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int selected=FileSelectDialog("Save Picture", NULL, "All files (*.*)|*.*", FSD_WRITE_FILE, file_names, file_name+".png");
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if(selected<1)
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{
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if(selected<0)
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PrintFormat("%s: FileSelectDialog() function returned error %d", __FUNCTION__, GetLastError());
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return false;
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}
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bool res=false;
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if(ChartSetInteger(0,CHART_SHOW,false))
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res=ChartScreenShot(0, file_names[0], GRAPH_WIDTH, GRAPH_HEIGHT);
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ChartSetInteger(0,CHART_SHOW,true);
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return(res);
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}
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```
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Result:
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See also
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[Real types (double, float)](/en/docs/basis/types/double), [Statistics](/en/docs/standardlibrary/mathematics/stat), [Scientific Charts](/en/docs/standardlibrary/graphics), [Client Terminal Properties](/en/docs/constants/environment_state/terminalstatus)
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