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

See also
Real types (double, float), Statistics, Scientific Charts, Client Terminal Properties
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