Get vector Angle ( Deg ) / Set Vector Angle ( Deg ) - AutoHotkey Community

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Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 23 Sep 2022, 04:12

I'm doing a quick rewrite of a vector class that I have and I would like to add in a GetAngle() and SetAngle() method.

Anyone have a simple function to set and get an angle in degrees that I can use in my class?

Something that can be used like this.

Code: Select all


MyVector := New Vector( 10 , 10 )

MyVector.SetAngle( 90 )

Angle := MyVector.GetAngle()

Code: Select all

;************
;Vector Class
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************
Class Vector	{
	;Written By: HB
	;Date: Sept 23rd, 2022
	;Last Edit: Sept 23rd, 2022
	;Purpose: Vector math class 
	;Credit: 
	;Resources:
	__New( x := 0 , y := 0 , rotate := 0 ){ 
		if( IsObject( x ) ){
			if( rotate = 3 ){
				This.X := x.X * -1
				,This.Y := x.Y * -1
			}else if( rotate = 2 ){
				This.X := x.Y 
				,This.Y := x.X * -1
			}else if( rotate = 1 ){
				This.X := x.Y * -1
				,This.Y := x.X 
			}else{
				This.X := x.X
				,This.Y := x.Y
			}
		}else{
			if( rotate = 3 ){
				This.X := X * -1
				,This.Y := Y * -1
			}else if( rotate = 2 ){
				This.X := Y 
				,This.Y := X * -1
			}else if( rotate = 1 ){
				This.X := Y * -1
				,This.Y := X 
			}else{
				This.X := X
				,This.Y := Y
			}
		}
	}
	Add( x , y := "" ){
		if( IsObject( x ) ){
			This.X += x.X
			,This.Y += x.Y
		}else if( y = "" ){
			This.X += x 
			,This.Y += x
		}else{
			This.X += x 
			,This.Y += y 
		}
	}
	Sub( x , y := "" ){
		if( IsObject( x ) ){
			This.X -= x.X
			,This.Y -= x.Y
		}else if( y = "" ){
			This.X -= X
			,This.Y -= X
		}else{
			This.X -= X
			,This.Y -= Y
		}
	}
	Div( x , y := "" ){
		if( IsObject( x ) ){
			This.X /= x.X
			,This.Y /= x.Y
		}else if( x && y = "" ){
			This.X /= x 
			,This.Y /= x 
		}else{
			This.X /= X
			,This.Y /= Y
		}
	}
	Mult( x , y := "" ){
		if( IsObject( x ) ){
			This.X *= x.X
			,This.Y *= x.Y
		}else if( x && y = "" ){
			This.X *= x 
			,This.Y *= x 
		}else{
			This.X *= X
			,This.Y *= Y
		}
	}
	Dist( x , y := "" ){
		if( IsObject( x ) )
			return Sqrt( ( ( This.X - x.X ) **2 ) + ( ( This.Y - x.Y ) **2 ) )
		else 
			return Sqrt( ( ( This.X - X ) **2 ) + ( ( This.Y - Y ) **2 ) )
	}
	GetMag(){
		return Sqrt( This.X * This.X + This.Y * This.Y )
	}
	SetMag( magnitude ){
		local m := This.GetMag()
		This.X := This.X * magnitude / m
		,This.Y := This.Y * magnitude / m
	}
	MagSq(){
		return This.GetMag()**2
	}	
	Dot( x , y := "" ){
		if( IsObject( x ) )
			return ( This.X * x.X ) + ( This.Y * x.Y )
		else
			return ( This.X * X ) + ( This.Y * Y )
	}
	Cross( x , y := "" ){
		if( IsObject( x ) )
			return This.X * x.Y - This.Y * x.X
		else
			return This.X * Y - This.Y * X
		
	}
	Norm(){
		local m := This.GetMag()
		This.X /= m
		This.Y /= m
	}
	;********************************************
	;static class methods
	TestLineInterceptPoint( interceptPoint , Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } } , interceptPoint = { X: , Y: }
		local
		for k , v in [ "X" , "Y" ]	
			M%v%_Min := min( Line1.Start[ v ] , Line1.End[ v ] )
			,M%v%_Max := max( Line1.Start[ v ] , Line1.End[ v ] )
			,L%v%_Min := min( Line2.Start[ v ] , Line2.End[ v ] )
			,L%v%_Max := max( Line2.Start[ v ] , Line2.End[ v ] )
		if( !( interceptPoint.X < Mx_Min || interceptPoint.X > Mx_Max || interceptPoint.X < Lx_Min || interceptPoint.X > Lx_Max ) && !( interceptPoint.Y < My_Min || interceptPoint.Y > My_Max || interceptPoint.Y < Ly_Min || interceptPoint.Y > Ly_Max ) )
			return 1
		return 0
	}
	GetLineInterceptPoint( Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } }
		local A1 := Line1.End.Y - Line1.Start.Y
		,B1 := Line1.Start.X - Line1.End.X
		,C1 := A1 * Line1.Start.X + B1 * Line1.Start.Y
		,A2 := Line2.End.Y - Line2.Start.Y
		,B2 := Line2.Start.X - Line2.End.X
		,C2 := A2 * Line2.Start.X + B2 * Line2.Start.Y
		,Denominator := A1 * B2 - A2 * B1 
		return New Vector( { X: ( ( B2 * C1 - B1 * C2 ) / Denominator )  , Y: ( ( A1 * C2 - A2 * C1 ) / Denominator ) } )
	}
	;********************************************
}
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************

Thanks.

Rohwedder: Posts: 7647; Joined: 04 Jun 2014, 08:33; Location: Germany

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Rohwedder » 23 Sep 2022, 05:26

Hallo,
i don't know anything about classes, but I know trigonometry. Try:

Code: Select all

MsgBox,% "Angle: " ATan2(10,10) "°"

ATan2(x,y)
{
    Static Rad2Deg := 45/ATan(1)
	Return, Rad2Deg*DllCall("msvcrt\atan2"
	, "Double", y, "Double", x, "CDECL Double")
}

Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 23 Sep 2022, 05:44

@Rohwedder

That works for GetAngle() do you have anything to set the angel in deg, something that counts rotations like 1080Deg ?

also do you have a simple solution so that it outputs it as a number between 0 and 359 ( 0 / 360 )
i.e.

Code: Select all

MsgBox,% "Angle: " ATan2(-10,-10) "°" ;(-135)

Rohwedder: Posts: 7647; Joined: 04 Jun 2014, 08:33; Location: Germany

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Rohwedder » 23 Sep 2022, 07:15

Then:

Code: Select all

ATan2(x,y)
{ ; 0 - 359.99...
    Static Rad2Deg := 45/ATan(1)
	Return, Mod(360+Rad2Deg*DllCall("msvcrt\atan2"
	, "Double", y, "Double", x, "CDECL Double"),360)
}

An Angle 1080° = Angle 0°, unless it is nuts and bolts.
Try:

Code: Select all

MsgBox,% Mod(1080,360)

By the way, 2-dimensional rotations are best calculated with complex numbers, and 3-dimensional rotations with quaternions.
https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation#Using_quaternions_as_rotations

Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 23 Sep 2022, 17:05

Thank you @Rohwedder.

I was able to get a GetAngle method for the class.

I still need a function to set an angle, so if you or anyone has something to set an angle I'd appreciate getting my hands on it.

Code: Select all

MyVector := New Vector( 10 , 10 )
MyVector2 := New Vector( -10 , -10 )

ToolTip, % MyVector.GetAngle() "`n" MyVector2.GetAngle()


GetAngle(){ 
	local RadToDeg := 45 / ATan( 1 ) , angle := ""
	( (  angle := RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
	return angle 
}

As for setting the angle. It seems as though I could get the magnitude of the starting vector and then loop over the x values between 0 and the magnitude of the starting vector to get angles between 0deg and 90deg and then likewise for the y value and then the whole thing over again * -1 to get the 180deg to 360deg. But this seems a bit overly complicated.

Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 23 Sep 2022, 18:55

I was able to work out a way to set the angle using the vectors magnitude and by switching between setting the y and x values with rotation.

It is highly inefficient but I don't know trig so I can't use trig functions.

: vector angles.gif (398.86 KiB) Viewed 896 times

Code: Select all

MyVector := New Vector( 100 , 100 )
mag := MyVector.GetMag()
div :=  mag / 90 
MyVector.Y :=   ( 0 ) * div 
MyVector.SetMag(  mag  ) 

While( Floor( MyVector.GetAngle() ) !=  90 ){
	MyVector.Y :=   ( A_Index ) * div 
	MyVector.SetMag(  mag  ) 
}

msgbox, % "Angle: " MyVector.GetAngle() "`nX: " MyVector.X "`nY: " MyVector.Y

Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 23 Sep 2022, 20:42

Flushed out my concept a bit, now have a working function to set the angle but it is still not very optimal.
If someone knows a better way please let me know.

Code: Select all

MyVector := New Vector( 133 , 36 )
NewAngle := 120
SetAngle( MyVector , NewAngle )


SetAngle( MyVector , NewAngle , divCount := 180  ){
	mag := MyVector.GetMag()
	div :=  mag / divCount 
	if( ( NewAngle >= 0 && NewAngle <= 90 ) || ( NewAngle >= 180 && NewAngle <= 270 ) ){
		MyVector.Y :=   ( 0 ) * div 
		MyVector.SetMag(  mag  ) 
		if( NewAngle >= 0 && NewAngle <= 90 ){
			While( Floor( MyVector.GetAngle() ) !=  NewAngle ){
				MyVector.Y :=   ( A_Index ) * div 
				MyVector.SetMag(  mag  ) 
			}
			MyVector.Y *= -1
		}else{
			While( Floor( MyVector.GetAngle() ) !=  ( NewAngle - 180 ) ){
				MyVector.Y :=   ( A_Index ) * div 
				MyVector.SetMag(  mag  ) 
			}
			MyVector.X *= -1
		}
	}else{
		MyVector.X :=   ( 0 ) * div 
		MyVector.SetMag(  mag  ) 
		if( NewAngle >= 90 && NewAngle <= 180 ){
			While( Floor( MyVector.GetAngle() ) !=  ( NewAngle ) ){
				MyVector.X :=   ( divCount - A_Index ) * div 
				MyVector.SetMag(  mag  ) 
			}
			 MyVector.Y *= -1
		}else{
			While( Floor( MyVector.GetAngle() ) !=  ( 360 - NewAngle  ) ){
				MyVector.X :=   A_Index * div 
				MyVector.SetMag(  mag  ) 
			}
		}
	}
}

: vector angles 2.gif (785.97 KiB) Viewed 878 times

Test code:

Code: Select all

;****************************************************************************************************************************************************************************
#Include <My Altered GDIP lib> ;<<<<<<<<<<<<<<<<<<---------------------------     gdip.ahk
;~ #Include <PopUpWindow_V2> ; At the bottom of the script 
;****************************************************************************************************************************************************************************
#SingleInstance, Force
SetBatchLines, -1
Gdip_Startup()

global Gui1 := New PopUpWindow( { AutoShow: 1 , X: 1000 , Y: 130 , W: 600 , H: 699 , Options: " -DPIScale +AlwaysOnTop " } )
Gui1.PaintBackground( { Color: "0x99000000" , X: 2 , Y: 2 , W: Gui1.W - 4 , H: Gui1.H - 4 , Round: 10 } , AutoUpdate := 0 )  

MyVector := New Vector( 133 , 36 )
NewAngle := 120
SetAngle( MyVector , NewAngle )
Loop, 
	loop, 360	{
		;~ Gui1.ClearWindow()
		MyVector := New Vector( 133 , 36 )
		SetAngle( MyVector , A_Index , 180 )
		Gui1.PaintBackground( { Color: "0x09000000" , X: 2 , Y: 2 , W: Gui1.W - 4 , H: Gui1.H - 4 , Round: 10 } , AutoUpdate := 0 )  
		Pen := Gdip_CreatePen( "0xFFFF0000" , 5 ) , Gdip_DrawLine( Gui1.G , Pen , 300 , 300 , MyVector.x * - 1 + 300 , ( MyVector.y  ) + 300 ) , Gdip_DeletePen( Pen )
		
		MyVector := New Vector( 33 , 36 )
		SetAngle( MyVector , A_Index , 180 )
		Pen := Gdip_CreatePen( "0xFF00FF00" , 5 ) , Gdip_DrawLine( Gui1.G , Pen , 300 , 300 , MyVector.x + 300 , ( MyVector.y  ) + 300 ) , Gdip_DeletePen( Pen )
		
		Gui1.UpdateWindow()		
		sleep, 10
		;~ sleep, ( 60000 / 60 )
	}


return
GuiClose:
GuiContextMenu:
*ESC::ExitApp

RALT::PopUpWindow.Helper()

SetAngle( MyVector , NewAngle , divCount := 180  ){
	mag := MyVector.GetMag()
	div :=  mag / divCount 
	if( ( NewAngle >= 0 && NewAngle <= 90 ) || ( NewAngle >= 180 && NewAngle <= 270 ) ){
		MyVector.Y :=   ( 0 ) * div 
		MyVector.SetMag(  mag  ) 
		if( NewAngle >= 0 && NewAngle <= 90 ){
			While( Floor( MyVector.GetAngle() ) !=  NewAngle ){
				MyVector.Y :=   ( A_Index ) * div 
				MyVector.SetMag(  mag  ) 
			}
			MyVector.Y *= -1
		}else{
			While( Floor( MyVector.GetAngle() ) !=  ( NewAngle - 180 ) ){
				MyVector.Y :=   ( A_Index ) * div 
				MyVector.SetMag(  mag  ) 
			}
			MyVector.X *= -1
		}
	}else{
		MyVector.X :=   ( 0 ) * div 
		MyVector.SetMag(  mag  ) 
		if( NewAngle >= 90 && NewAngle <= 180 ){
			While( Floor( MyVector.GetAngle() ) !=  ( NewAngle ) ){
				MyVector.X :=   ( divCount - A_Index ) * div 
				MyVector.SetMag(  mag  ) 
			}
			 MyVector.Y *= -1
		}else{
			While( Floor( MyVector.GetAngle() ) !=  ( 360 - NewAngle  ) ){
				MyVector.X :=   A_Index * div 
				MyVector.SetMag(  mag  ) 
			}
		}
	}
}

_DrawLine( G , vector1 , vector2 , Color := "0xFFFF0000" , Thickness := 3 ){
	Pen := Gdip_CreatePen( color , thickness ) , Gdip_DrawLine( G , Pen , vector1.x , vector1.y , vector2.x , vector2.y ) , Gdip_DeletePen( Pen )
}
;Layered Window Class ( Canvas )
;####################################################################################################################################################################################
;####################################################################################################################################################################################
;####################################################################################################################################################################################
;####################################################################################################################################################################################
class PopUpWindow	{
;PopUpWindow v2.2
;Date Written: Oct 28th, 2021
;Last Edit: Feb 7th, 2022 :Changed the trigger method.
;Written By: Hellbent aka CivReborn
;SpcThanks: teadrinker , malcev 
	static Index := 0 , Windows := [] , Handles := [] , EditHwnd , HelperHwnd
	__New( obj := "" ){
		This._SetDefaults()
		This.UpdateSettings( obj )
		This._CreateWindow()
		This._CreateWindowGraphics()
		if( This.AutoShow )
			This.ShowWindow( This.Title )
	}
	_SetDefaults(){
		This.X := 10
		This.Y := 10
		This.W := 10
		This.H := 10
		This.Smoothing := 2
		This.Options := " -DPIScale +AlwaysOnTop "
		This.AutoShow := 0
		This.GdipStartUp := 0
		This.Title := ""
		
		This.Controls := []
		This.Handles := []
		This.Index := 0 
	}
	AddTrigger( obj ){
		local k , v , cc , bd
		
		This.Controls[ ++This.Index ] := { 	X:		10
										,	Y:		10
										,	W:		10
										,	H:		10	}
		for k, v in obj
			This.Controls[ This.Index ][ k ] := obj[ k ] 
		cc := This.Controls[ This.Index ]
		Gui, % This.Hwnd ":Add", Text, % "x" cc.X " y" cc.Y " w" cc.W " h" cc.H " hwndhwnd"
		This.Handles[ hwnd ] := This.Index
		This.Controls[ This.Index ].Hwnd := hwnd
		
		if( IsObject( cc.Label ) ){
			bd := cc.Label
			GuiControl, % This.Hwnd ":+G" , % hwnd , % bd
		}else{
			bd := This._TriggerCall.Bind( This )
			GuiControl, % This.Hwnd ":+G" , % hwnd , % bd
		}
		return hwnd
		
	}
	_TriggerCall(){
		MouseGetPos,,,, ctrl, 2
		Try
			;~ SetTimer, % This.Controls[ This.Handles[ ctrl ] ].Label, -0
			gosub, % This.Controls[ This.Handles[ ctrl ] ].Label
		
				
	}
	DrawTriggers( color := "0xFFFF0000" , AutoUpdate := 0 ){
		local brush , cc 
		Brush := Gdip_BrushCreateSolid( color ) 
		Gdip_SetSmoothingMode( This.G , 3 )
		loop, % This.Controls.Length()	{
			cc := This.Controls[ A_Index ]
			Gdip_FillRectangle( This.G , Brush , cc.x , cc.y , cc.w , cc.h )
		
		}
		Gdip_DeleteBrush( Brush )
		Gdip_SetSmoothingMode( This.G , This.Smoothing )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	UpdateSettings( obj := "" , UpdateGraphics := 0 ){
		local k , v
		if( IsObject( obj ) )
			for k, v in obj
				This[ k ] := obj[ k ]
		( This.X = "Center" ) ? ( This.X := ( A_ScreenWidth - This.W ) / 2 ) 	
		( This.Y = "Center" ) ? ( This.Y := ( A_ScreenHeight - This.H ) / 2 ) 	
		if( UpdateGraphics ){
			This._DestroyWindowsGraphics()
			This._CreateWindowGraphics()
		}
	}
	_CreateWindow(){
		local hwnd
		Gui , New, % " +LastFound +E0x80000 hwndhwnd -Caption  " This.Options
		PopUpWindow.Index++
		This.Index := PopUpWindow.Index
		PopUpWindow.Windows[ PopUpWindow.Index ] := This
		This.Hwnd := hwnd
		PopUpWindow.Handles[ hwnd ] := PopUpWindow.Index
		if( This.GdipStartUp && !PopUpWindow.pToken )
			PopUpWindow.pToken := GDIP_STARTUP()
	}
	_DestroyWindowsGraphics(){
		Gdip_DeleteGraphics( This.G )
		SelectObject( This.hdc , This.obm )
		DeleteObject( This.hbm )
		DeleteDC( This.hdc )
	}
	_CreateWindowGraphics(){
		This.hbm := CreateDIBSection( This.W , This.H )
		This.hdc := CreateCompatibleDC()
		This.obm := SelectObject( This.hdc , This.hbm )
		This.G := Gdip_GraphicsFromHDC( This.hdc )
		Gdip_SetSmoothingMode( This.G , This.Smoothing )
	}
	ShowWindow( Title := "" ){
		Gui , % This.Hwnd ":Show", % "x" This.X " y" This.Y " w" This.W " h" This.H " NA", % Title
	}
	HideWindow(){
		Gui , % This.Hwnd ":Hide",
	}
	UpdateWindow( alpha := 255 ){
		UpdateLayeredWindow( This.hwnd , This.hdc , This.X , This.Y , This.W , This.H , alpha )
	}
	ClearWindow( AutoUpdate := 0 ){
		Gdip_GraphicsClear( This.G )
		if( Autoupdate )
			This.UpdateWindow()
	}
	DrawBitmap( pBitmap , obj , dispose := 1 , AutoUpdate := 0 ){
		Gdip_DrawImage( This.G , pBitmap , obj.X , obj.Y , obj.W , obj.H )
		if( dispose )
			Gdip_DisposeImage( pBitmap )
		if( Autoupdate )
			This.UpdateWindow()
	}
	PaintBackground( color := "0xFF000000" , AutoUpdate := 0 ){
		if( isObject( color ) ){
			Brush := Gdip_BrushCreateSolid( ( color.HasKey( "Color" ) ) ? ( color.Color ) : ( "0xFF000000" ) ) 
			if( color.Haskey( "Round" ) )
				Gdip_FillRoundedRectangle( This.G , Brush , color.X , color.Y , color.W , color.H , color.Round )
			else
				Gdip_FillRectangle( This.G , Brush , color.X , color.Y , color.W , color.H ) 
		}else{
			Brush := Gdip_BrushCreateSolid( color ) 
			Gdip_FillRectangle( This.G , Brush , -1 , -1 , This.W + 2 , This.H + 2 ) 
		}
		Gdip_DeleteBrush( Brush )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	DeleteWindow( GDIPShutdown := 0 ){
		Gui, % This.Hwnd ":Destroy"
		SelectObject( This.hdc , This.obm )
		DeleteObject( This.hbm )
		DeleteDC( This.hdc )
		Gdip_DeleteGraphics( This.G )
		hwnd := This.Hwnd
		for k, v in PopUpWindow.Windows[ Hwnd ]
			This[k] := ""
		PopUpWindow.Windows[ Hwnd ] := ""
		if( GDIPShutdown ){
			Gdip_Shutdown( PopUpWindow.pToken )
			PopUpWindow.pToken := ""
		}
	}
	_OnClose( wParam ){
		if( wParam = 0xF060 ){	;SC_CLOSE ;[ clicking on the gui close button ]
			Try{
				Gui, % PopUpWindow.HelperHwnd ":Destroy"
				SoundBeep, 555
			}
		}
	}
	CreateCachedBitmap( pBitmap , Dispose := 0 ){
		local pCachedBitmap
		if( This.CachedBitmap )
			This.DisposeCachedbitmap()
		DllCall( "gdiplus\GdipCreateCachedBitmap" , "Ptr" , pBitmap , "Ptr" , this.G , "PtrP" , pCachedBitmap )
		This.CachedBitmap := pCachedBitmap
		if( Dispose )
			Gdip_DisposeImage( pBitmap )
	}
	DrawCachedBitmap( AutoUpdate := 0 ){
		DllCall( "gdiplus\GdipDrawCachedBitmap" , "Ptr" , this.G , "Ptr" , This.CachedBitmap , "Int" , 0 , "Int" , 0 )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	DisposeCachedbitmap(){
		DllCall( "gdiplus\GdipDeleteCachedBitmap" , "Ptr" , This.CachedBitmap )
	}
	Helper(){
		local hwnd , MethodList := ["__New","UpdateSettings","ShowWindow","HideWindow","UpdateWindow","ClearWindow","DrawBitmap","PaintBackground","DeleteWindow" , "AddTrigger" , "DrawTriggers", "CreateCachedBitmap" , "DrawCachedBitmap" , "DisposeCachedbitmap" ]
		Gui, New, +AlwaysOnTop +ToolWindow +HwndHwnd
		PopUpWindow.HelperHwnd := hwnd
		Gui, Add, Edit, xm ym w250 r1 Center hwndhwnd, Gui1
		PopUpWindow.EditHwnd := hwnd
		loop, % MethodList.Length()	
			Gui, Add, Button, xm y+1 w250 r1 gPopUpWindow._HelperClip, % MethodList[ A_Index ]
		Gui, Show,,
		OnMessage( 0x112 , This._OnClose.Bind( hwnd ) )
	}
	_HelperClip(){
		local ClipList 
		
		GuiControlGet, out, % PopUpWindow.HelperHwnd ":", % PopUpWindow.EditHwnd	
		
		ClipList := 		{ 	__New: 					" := New PopUpWindow( { AutoShow: 1 , X: 0 , Y: 0 , W: A_ScreenWidth , H: A_ScreenHeight , Options: "" -DPIScale +AlwaysOnTop "" } )"
							,	UpdateSettings:			".UpdateSettings( { X: """" , Y: """" , W: """" , H: """" } , UpdateGraphics := 0 )"
							,	ShowWindow:				".ShowWindow( Title := """" )"
							,	HideWindow:				".HideWindow()"
							,	UpdateWindow:			".UpdateWindow()"
							,	ClearWindow:			".ClearWindow( AutoUpdate := 0 )"
							,	DrawBitmap:				".DrawBitmap( pBitmap := """" , { X: 0 , Y: 0 , W: " Out ".W , H: " Out ".H } , dispose := 1 , AutoUpdate := 0 )"
							,	PaintBackground:		".PaintBackground( color := ""0xFF000000"" , AutoUpdate := 0 )  "  ";{ Color: ""0xFF000000"" , X: 2 , Y: 2 , W: " Out ".W - 4 , H: " Out ".H - 4 , Round: 10 }"
							,	DeleteWindow:			".DeleteWindow( GDIPShutdown := 0 )"
							,	AddTrigger:				".AddTrigger( { X: """" , Y: """" , W: """" , H: """" , Value: """" , Label: """" } )"	
							,	DrawTriggers:			".DrawTriggers( color := ""0xFFFF0000"" , AutoUpdate := 0 )"	
							,	CreateCachedBitmap:		".CreateCachedBitmap( pBitmap , Dispose := 0 )"	
							,	DrawCachedBitmap: 		".DrawCachedBitmap( AutoUpdate := 0 )"	
							,	DisposeCachedbitmap:	".DisposeCachedbitmap()"	}
							
		clipboard := Out ClipList[ A_GuiControl ]
		
	}
}

;************
;Vector Class
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************
Class Vector	{
	;Written By: HB
	;Date: Sept 23rd, 2022
	;Last Edit: Sept 23rd, 2022
	;Purpose: Vector math class 
	;Credit: 
	;Resources: 
		;Line intercept concepts and code: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=37175
		;Create an Arrow: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=92039&p=479129#p478944
		;Getting an angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483661#p483678
		;
		;
	__New( x := 0 , y := 0 , rotate := 0 ){ 
		if( IsObject( x ) ){
			if( rotate = 3 ){
				This.X := x.X * -1
				,This.Y := x.Y * -1
			}else if( rotate = 2 ){
				This.X := x.Y 
				,This.Y := x.X * -1
			}else if( rotate = 1 ){
				This.X := x.Y * -1
				,This.Y := x.X 
			}else{
				This.X := x.X
				,This.Y := x.Y
			}
		}else{
			if( rotate = 3 ){
				This.X := X * -1
				,This.Y := Y * -1
			}else if( rotate = 2 ){
				This.X := Y 
				,This.Y := X * -1
			}else if( rotate = 1 ){
				This.X := Y * -1
				,This.Y := X 
			}else{
				This.X := X
				,This.Y := Y
			}
		}
	}
	Add( x , y := "" ){
		if( IsObject( x ) ){
			This.X += x.X
			,This.Y += x.Y
		}else if( y = "" ){
			This.X += x 
			,This.Y += x
		}else{
			This.X += x 
			,This.Y += y 
		}
	}
	Sub( x , y := "" ){
		if( IsObject( x ) ){
			This.X -= x.X
			,This.Y -= x.Y
		}else if( y = "" ){
			This.X -= X
			,This.Y -= X
		}else{
			This.X -= X
			,This.Y -= Y
		}
	}
	Div( x , y := "" ){
		if( IsObject( x ) ){
			This.X /= x.X
			,This.Y /= x.Y
		}else if( x && y = "" ){
			This.X /= x 
			,This.Y /= x 
		}else{
			This.X /= X
			,This.Y /= Y
		}
	}
	Mult( x , y := "" ){
		if( IsObject( x ) ){
			This.X *= x.X
			,This.Y *= x.Y
		}else if( x && y = "" ){
			This.X *= x 
			,This.Y *= x 
		}else{
			This.X *= X
			,This.Y *= Y
		}
	}
	Dist( x , y := "" ){
		if( IsObject( x ) )
			return Sqrt( ( ( This.X - x.X ) **2 ) + ( ( This.Y - x.Y ) **2 ) )
		else 
			return Sqrt( ( ( This.X - X ) **2 ) + ( ( This.Y - Y ) **2 ) )
	}
	GetMag(){
		return Sqrt( This.X * This.X + This.Y * This.Y )
	}
	SetMag( magnitude ){
		local m := This.GetMag()
		This.X := This.X * magnitude / m
		,This.Y := This.Y * magnitude / m
	}
	MagSq(){
		return This.GetMag()**2
	}	
	Dot( x , y := "" ){
		if( IsObject( x ) )
			return ( This.X * x.X ) + ( This.Y * x.Y )
		else
			return ( This.X * X ) + ( This.Y * Y )
	}
	Cross( x , y := "" ){
		if( IsObject( x ) )
			return This.X * x.Y - This.Y * x.X
		else
			return This.X * Y - This.Y * X
		
	}
	Norm(){
		local m := This.GetMag()
		This.X /= m
		This.Y /= m
	}
	;********************************************
	;static class methods
	TestLineInterceptPoint( interceptPoint , Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } } , interceptPoint = { X: , Y: }
		local
		for k , v in [ "X" , "Y" ]	
			M%v%_Min := min( Line1.Start[ v ] , Line1.End[ v ] )
			,M%v%_Max := max( Line1.Start[ v ] , Line1.End[ v ] )
			,L%v%_Min := min( Line2.Start[ v ] , Line2.End[ v ] )
			,L%v%_Max := max( Line2.Start[ v ] , Line2.End[ v ] )
		if( !( interceptPoint.X < Mx_Min || interceptPoint.X > Mx_Max || interceptPoint.X < Lx_Min || interceptPoint.X > Lx_Max ) && !( interceptPoint.Y < My_Min || interceptPoint.Y > My_Max || interceptPoint.Y < Ly_Min || interceptPoint.Y > Ly_Max ) )
			return 1
		return 0
	}
	GetLineInterceptPoint( Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } }
		local A1 := Line1.End.Y - Line1.Start.Y
		,B1 := Line1.Start.X - Line1.End.X
		,C1 := A1 * Line1.Start.X + B1 * Line1.Start.Y
		,A2 := Line2.End.Y - Line2.Start.Y
		,B2 := Line2.Start.X - Line2.End.X
		,C2 := A2 * Line2.Start.X + B2 * Line2.Start.Y
		,Denominator := A1 * B2 - A2 * B1 
		return New Vector( { X: ( ( B2 * C1 - B1 * C2 ) / Denominator )  , Y: ( ( A1 * C2 - A2 * C1 ) / Denominator ) } )
	}
	;********************************************
	GetAngle(){ 
		local RadToDeg := 45 / ATan( 1 ) , angle := ""
		( (  angle := RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
		;~ return Floor( angle )
		return angle
	}
}
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************

Rohwedder: Posts: 7647; Joined: 04 Jun 2014, 08:33; Location: Germany

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg ) Topic is solved

Post by Rohwedder » 24 Sep 2022, 02:53

I still don't know anything about classes and that's why I have trouble analyzing your script!
Also, why this cruel many superfluous spaces to drag out the lines of code?
Both my eyes have vitreous opacity and I can only read something at a zoom of 200%.
Change:

Code: Select all

GetAngle(){ 
		local RadToDeg := 45 / ATan( 1 ) , angle := ""
		( (  angle := RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
		;~ return Floor( angle )
		return angle
	}

to:

Code: Select all

GetAngle(){
		static RadToDeg := 45 / ATan( 1 )
		( (  angle := RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
		;~ return Floor( angle )
		return angle
	}

I had made RadToDeg static on purpose so that it does not have to be recalculated with every function call!

Rotation of a vector
See: https://en.wikipedia.org/wiki/Rotation_matrix
To perform the rotation on a plane point with standard coordinates v = (x, y), it should be written as a column vector, and multiplied by the matrix R:

: Rotation_matrix.png (8.38 KiB) Viewed 849 times

If x and y are the endpoint coordinates of a vector, where x is cosine and y is sine, then the above equations become the trigonometric summation angle formulae.

Code: Select all

DegToRad := ATan(1)/45 ; (must be calculated only once !)
X := 123, Y := -455 ; Vector V
Angle := 135 ; deg Angle 135°
; Vector V (X,Y) is to be rotated by 135°
X2 := X * (Cos:=Cos(DegToRad*Angle)) - Y * (Sin:=Sin(DegToRad*Angle))
; (Cos and Sin must be calculated only once per rotation)
Y2 := X * Sin + Y * Cos
MsgBox,% "rotated Vector V2: (" X2 "," Y2 ")"
;Case distinctions are really never necessary!
MsgBox,% "Rotation: " ATan2(X2,Y2) - ATan2(X,Y) "°"
ATan2(x,y)
{
    Static Rad2Deg := 45/ATan(1)
	Return, Rad2Deg*DllCall("msvcrt\atan2"
	, "Double", y, "Double", x, "CDECL Double")
}

Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 24 Sep 2022, 17:07

Thank you very much @Rohwedder.

I have been able to create 3 methods for the vector class thanks to your assistance.
1. Vector.GetAngle() | Get the angle of the vector
2. Vector.SetAngle() | Set the angle of the vector
3. Vector.RotateAngle() | Rotate the vector (+/-)deg

Code: Select all

GetAngle(){ 
	local angle 
	( (  angle := Vector.RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
	return angle
}
SetAngle( newAngle := 0 , NewVector := 0 ){
	local Angle := This.GetAngle()
	, ChangeAngle := newAngle - Angle 
	, Co := Cos( Vector.DegToRad * ChangeAngle )
	, Si := Sin( Vector.DegToRad * ChangeAngle )
	, X := This.X 
	, Y := This.Y
	, X2 := X * Co - Y * Si 
	, Y2 := X * Si + Y * Co 
	if( !NewVector )
		This.X := X2 , This.Y := Y2
	else 
		return New Vector( X2 , Y2 )
}
RotateAngle( rotationAmount := 90 , NewVector := 0 ){
	local Co := Cos( Vector.DegToRad * rotationAmount )
	, Si := Sin( Vector.DegToRad * rotationAmount )
	, X := This.X 
	, Y := This.Y
	, X2 := X * Co - Y * Si 
	, Y2 := X * Si + Y * Co 
	if( !NewVector )
		This.X := X2 , This.Y := Y2
	else 
		return New Vector( X2 , Y2 )
}

Here is the current vector class with the new methods added.

Code: Select all

;************
;Vector Class
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************
Class Vector	{
	;Written By: HB
	;Date: Sept 23rd, 2022
	;Last Edit: Sept 24th, 2022
	;Purpose: Vector math class 
	;Credit: Rohwedder 
	;Resources: 
		;Line intercept concepts and code: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=37175
		;Create an Arrow: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=92039&p=479129#p478944
		;Getting an angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483661#p483678
		;Setting an Angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483786#p483811
		;
		
	static RadToDeg := 45 / ATan( 1 ) 
		, DegToRad := ATan( 1 ) / 45 
		
	__New( x := 0 , y := 0 , rotate := 0 ){ 
		if( IsObject( x ) ){
			if( rotate = 3 ){
				This.X := x.X * -1
				,This.Y := x.Y * -1
			}else if( rotate = 2 ){
				This.X := x.Y 
				,This.Y := x.X * -1
			}else if( rotate = 1 ){
				This.X := x.Y * -1
				,This.Y := x.X 
			}else{
				This.X := x.X
				,This.Y := x.Y
			}
		}else{
			if( rotate = 3 ){
				This.X := X * -1
				,This.Y := Y * -1
			}else if( rotate = 2 ){
				This.X := Y 
				,This.Y := X * -1
			}else if( rotate = 1 ){
				This.X := Y * -1
				,This.Y := X 
			}else{
				This.X := X
				,This.Y := Y
			}
		}
	}
	Add( x , y := "" ){
		if( IsObject( x ) ){
			This.X += x.X
			,This.Y += x.Y
		}else if( y = "" ){
			This.X += x 
			,This.Y += x
		}else{
			This.X += x 
			,This.Y += y 
		}
	}
	Sub( x , y := "" ){
		if( IsObject( x ) ){
			This.X -= x.X
			,This.Y -= x.Y
		}else if( y = "" ){
			This.X -= X
			,This.Y -= X
		}else{
			This.X -= X
			,This.Y -= Y
		}
	}
	Div( x , y := "" ){
		if( IsObject( x ) ){
			This.X /= x.X
			,This.Y /= x.Y
		}else if( x && y = "" ){
			This.X /= x 
			,This.Y /= x 
		}else{
			This.X /= X
			,This.Y /= Y
		}
	}
	Mult( x , y := "" ){
		if( IsObject( x ) ){
			This.X *= x.X
			,This.Y *= x.Y
		}else if( x && y = "" ){
			This.X *= x 
			,This.Y *= x 
		}else{
			This.X *= X
			,This.Y *= Y
		}
	}
	Dist( x , y := "" ){
		if( IsObject( x ) )
			return Sqrt( ( ( This.X - x.X ) **2 ) + ( ( This.Y - x.Y ) **2 ) )
		else 
			return Sqrt( ( ( This.X - X ) **2 ) + ( ( This.Y - Y ) **2 ) )
	}
	GetMag(){
		return Sqrt( This.X * This.X + This.Y * This.Y )
	}
	SetMag( magnitude ){
		local m := This.GetMag()
		This.X := This.X * magnitude / m
		,This.Y := This.Y * magnitude / m
	}
	MagSq(){
		return This.GetMag()**2
	}	
	Dot( x , y := "" ){
		if( IsObject( x ) )
			return ( This.X * x.X ) + ( This.Y * x.Y )
		else
			return ( This.X * X ) + ( This.Y * Y )
	}
	Cross( x , y := "" ){
		if( IsObject( x ) )
			return This.X * x.Y - This.Y * x.X
		else
			return This.X * Y - This.Y * X
		
	}
	Norm(){
		local m := This.GetMag()
		This.X /= m
		This.Y /= m
	}
	GetAngle(){ 
		local angle 
		( (  angle := Vector.RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
		return angle
	}
	SetAngle( newAngle := 0 , NewVector := 0 ){
		local Angle := This.GetAngle()
		, ChangeAngle := newAngle - Angle 
		, Co := Cos( Vector.DegToRad * ChangeAngle )
		, Si := Sin( Vector.DegToRad * ChangeAngle )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	RotateAngle( rotationAmount := 90 , NewVector := 0 ){
		local Co := Cos( Vector.DegToRad * rotationAmount )
		, Si := Sin( Vector.DegToRad * rotationAmount )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	;********************************************
	;class methods
	TestLineInterceptPoint( interceptPoint , Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } } , interceptPoint = { X: , Y: }
		local
		for k , v in [ "X" , "Y" ]	
			M%v%_Min := min( Line1.Start[ v ] , Line1.End[ v ] )
			,M%v%_Max := max( Line1.Start[ v ] , Line1.End[ v ] )
			,L%v%_Min := min( Line2.Start[ v ] , Line2.End[ v ] )
			,L%v%_Max := max( Line2.Start[ v ] , Line2.End[ v ] )
		if( !( interceptPoint.X < Mx_Min || interceptPoint.X > Mx_Max || interceptPoint.X < Lx_Min || interceptPoint.X > Lx_Max ) && !( interceptPoint.Y < My_Min || interceptPoint.Y > My_Max || interceptPoint.Y < Ly_Min || interceptPoint.Y > Ly_Max ) )
			return 1
		return 0
	}
	GetLineInterceptPoint( Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } }
		local A1 := Line1.End.Y - Line1.Start.Y
		,B1 := Line1.Start.X - Line1.End.X
		,C1 := A1 * Line1.Start.X + B1 * Line1.Start.Y
		,A2 := Line2.End.Y - Line2.Start.Y
		,B2 := Line2.Start.X - Line2.End.X
		,C2 := A2 * Line2.Start.X + B2 * Line2.Start.Y
		,Denominator := A1 * B2 - A2 * B1 
		return New Vector( { X: ( ( B2 * C1 - B1 * C2 ) / Denominator )  , Y: ( ( A1 * C2 - A2 * C1 ) / Denominator ) } )
	}
	;********************************************
}
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************

And this is my test code and simple use examples.

: vector angles .gif (435.44 KiB) Viewed 802 times

Code: Select all

;****************************************************************************************************************************************************************************
#Include <My Altered GDIP lib> ;<<<<<<<<<<<<<<<<<<---------------------------     gdip.ahk
#Include <PopUpWindow_V2> ; <<<<<<------  can be found in a earlier post in the thread.
#Include <HB Vectors v2>  ; Vector class
#Include <ArrowHead Class v1> ;ArrowHead class: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=92039&p=479129#p478944
;****************************************************************************************************************************************************************************
#SingleInstance, Force
SetBatchLines, -1
Gdip_Startup()

global Gui1 := New PopUpWindow( { AutoShow: 1 , X: 1000 , Y: 130 , W: 600 , H: 600 , Options: " -DPIScale +AlwaysOnTop " } )

;Testing Vector.SetAngle()
;********************************************
Vector1 :=  New Vector( 200 , 0 )
Vector2 :=  New Vector( -100 , 0 )
Lc := 180
Loop, % Lc	{
	Vector1.SetAngle( A_Index )
	Vector2.SetAngle( 360 - A_Index )
	DrawWindow( vector1 , vector2 )
	Sleep, 10
}
Vector1.SetAngle( 45 )
Vector2.SetAngle( 135 )
Vector1.SetMag( 10 )
Vector2.SetMag( 59 )
;Testing Vector.RotateAngle()
;********************************************
Loop, % Lc	{
	Vector1.SetMag( Vector1.GetMag() + 2 )
	Vector1.RotateAngle( 5 )
	( !Mod( A_Index , 10 ) ) ? ( Vector2.SetMag( 50 ) ) : ( Vector2.SetMag( Vector2.GetMag() + 30 ) )
	Vector2.RotateAngle( 1 )
	DrawWindow( vector1 , vector2 , 0 ,"0xFF0000FF" , "0xFFFFFF00", "0x66000000" )
	Sleep, 10
}
Vector1.SetAngle( 90 )
Vector2.SetAngle( 180 )
Loop, % Lc	{
	mag := Vector1.GetMag() - 2
	Vector1.SetMag( ( mag < 20 ) ? ( 150 ) : ( mag ) )
	Vector1.RotateAngle( -5 )
	( !Mod( A_Index , 20 ) ) ? ( Vector2.SetMag( 200 ) ) : ( Vector2.SetMag( Vector2.GetMag() - 9 ) )
	Vector2.RotateAngle( 1 )
	DrawWindow( vector1 , vector2 , 0 , "0xaaFFBF00" ,, "0x01003399" )
	Sleep, 10
}
;/* ;Arrow Testing ( requires arrowhead class )
;********************************************
start := New Vector( 1 , 1 )
End := New Vector( 120 , 20 )
start2 := New Vector( 0 , 0 )
End2 := New Vector( 120 , 120 )
Loop, 1390	{
	End.RotateAngle( 1 )
	End2.RotateAngle( 1 )
	End2.SetMag( End.GetMag() + 1 )
	End.SetMag( ( Mag := End.GetMag() + 1 ) > 300 ? 60 : Mag )
	Start.SetMag( ( !Mod( A_Index , 50 ) ) ? ( 1 ) : ( Start.GetMag() + 5 ) )
	Start.RotateAngle( -1 )
	Gui1.ClearWindow() 
	Arrow := New ArrowHead( Start , End , HeadLength := 30 , ArmLength := 20 , ElbowLength := 10 , 315 , 315 )
	Arrow2 := New ArrowHead( Start2 , End2 , HeadLength :=  40 , ArmLength := 8 , ElbowLength := 5 , 300 , 200 )
	_FillPolygon( Gui1.G , Arrow , Color := "0xFFFF0000" ) , _DrawPolygon( Gui1.G , Arrow , Color := "0xFF000000" )
	_FillPolygon( Gui1.G , Arrow2 , Color := "0xFFFFff00" ) , _DrawPolygon( Gui1.G , Arrow2 , Color := "0xFF000000" )
	Gui1.UpdateWindow()	
	sleep, 30
}
*/ ;End of Arrow testing.
return
GuiContextMenu:
*ESC::ExitApp

DrawWindow( vector1 , vector2 , clearWindow := 0 , c1 := "0xFFFF0000" , c2 := "0xFF00FF00" , BGC := "0x03000000" ){
	if( clearWindow )
		Gui1.ClearWindow()
	Gui1.PaintBackground( BGC )  
	Pen := Gdip_CreatePen( c1 , 5 ) , Gdip_DrawLine( Gui1.G , Pen , 300 , 300 , Vector1.x + 300 , ( Vector1.y * -1 ) + 300 ) , Gdip_DeletePen( Pen )
	Pen := Gdip_CreatePen( c2 , 5 ) , Gdip_DrawLine( Gui1.G , Pen , 300 , 300 , Vector2.x + 300 , ( Vector2.y * -1 ) + 300 ) , Gdip_DeletePen( Pen )
	Gui1.UpdateWindow()	
}
_FillPolygon( G , Points := "50 , 50 | 100 , 100 | 150 , 50 | 50 , 50 " , Color := "0xFFFF0000" ){
	Brush := Gdip_BrushCreateSolid( Color ) , Gdip_FillPolygon( G , Brush , Points ) , Gdip_DeleteBrush( Brush )
}
_DrawPolygon( G , Points := "50 , 50 | 100 , 100 | 150 , 50 | 50 , 50 " , Color := "0xFF000000" , Thickness := 3 ){
	Pen := Gdip_CreatePen( Color , Thickness ) , Gdip_DrawLines( G , Pen , Points ) , Gdip_DeletePen( Pen )
}

Also, why this cruel many superfluous spaces to drag out the lines of code?

lol, sorry about that. I actually spent several months to condition myself to add in the spaces so that it is easier to read. ( relatively speaking lol )

I still don't know anything about classes and that's why I have trouble analyzing your script!

For the most part, my classes are basically just associative arrays { Key: Value } with built in functions that you can call.
In the case of the vector class, the class creates an object (associative arrays ) with x, y keys.

Here is a simple example of doing the same thing, with and without a class.

Code: Select all

Vector_1 := { X: 10 , Y: 10 }
Vector_2 := { X: 100 , Y: 100 }

;Add vector 2 to vector 1 ( change vector 1 )
AddVectors(  Vector_1 ,  Vector_2 )

Msgbox, % "X: " Vector_1.X "`nY: " Vector_1.Y

AddVectors( vector1 , vector2  ){
	Vector1.X += Vector2.X
	Vector1.Y += Vector2.Y
}

Code: Select all

Vector_1 := New Vector( 10 , 10 )
Vector_2 := New Vector( 100 , 100 )

;add vector 2 to vector 1 ( change vector 1 )
Vector_1.Add( Vector_2 )

Msgbox, % "X: " Vector_1.X "`nY: " Vector_1.Y

class Vector	{
	__New( x , y ){
		This.X := x 
		This.Y := y	
	}
	Add( inputVector ){
		This.X += inputVector.X
		This.Y += inputVector.Y
	}
}

Thanks again. If you have any questions feel free to ask.

Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 30 Dec 2023, 15:08

Another example:

Hi HB,
thanks for sharing the vector class (viewtopic.php?style=19&t=108760).

I'm looking for a way to calculate the optimal intercept angle between vehicles that travel at known velocities. Example: vehicles 1 travels at known speed and compass heading. Vehicle 2 has a known velocity, and I need to calculate the compas heading to intercept vehicle 1.

Can your class help here?

.

: interceptpoint 1.gif (373.05 KiB) Viewed 361 times

.

Code: Select all

;****************************************************************************************************************************************************************************
#Include <GDIP_ALL> ;GDIP:  https://www.autohotkey.com/boards/viewtopic.php?f=6&t=6517
;~ #Include <PopUpWindow_V2> ; At the bottom of the script 
;~ #Include <HB Vectors v2>  ; At the bottom of the script
;****************************************************************************************************************************************************************************
#SingleInstance, Force
SetBatchLines, -1
Gdip_Startup()

Gui1 := New PopUpWindow( { AutoShow: 1 , X: "Center" , Y: "Center" , W: A_ScreenWidth , H: A_ScreenHeight , Options: " +AlwaysOnTop -DPIScale " } ) 

pen1 := Gdip_CreatePen( "0xFFff0000", 3 )
pen2 := Gdip_CreatePen( "0xFF0000FF", 3 )
pen3 := Gdip_CreatePen( "0xFF00FF0F", 3 )

Speed1 := 3.7 
;~ Speed1 := 1.7

Speed2 := 3.9
;~ Speed2 := 2.9

Start1 := New Vector( 100 , A_ScreenHeight / 2 )
End1 := New Vector( 10000 , A_ScreenHeight / 2 )


Current1 := New Vector( Start1 )
vel1 := New Vector( End1 )
vel1.Sub( Start1 )
vel1.SetMag( Speed1 )

;~ Start2 := New Vector( 100 , A_ScreenHeight / 2 + 100 )
Start2 := New Vector( 700 , A_ScreenHeight / 2 + 100 )
;~ Start2 := New Vector( 700 , 100 )	



End2 := New Vector( Current1 )

Vel2 := New Vector( End2 )
Vel2.Sub( Start2 )
Vel2.SetMag( Speed2 )
Current2 := New Vector( Start2 )

cIndex := 0
setTimer, Update, 30

return
GuiClose:
GuiContextMenu:
*ESC::ExitApp

RALT::PopUpWindow.Helper()

Update:
	cIndex++
	Current1.Add( vel1 )
	End2 := New Vector( Current1 ) 
	Vel2 := New Vector( End2 )
	Vel2.Sub( Start2 )
	Vel2.SetMag( Speed2 * cIndex )
	Current2 := New Vector( Start2 )
	Current2.Add( vel2 )
	Gui1.ClearWindow()
	Gdip_DrawLine(Gui1.G , pen1, Start1.X , Start1.Y , Current1.X , Current1.Y )
	Gdip_DrawLine(Gui1.G , pen2, Start2.X , Start2.Y , Current2.X , Current2.Y )
	Gui1.UpdateWindow()
	
	InterceptPoint := Vector.GetLineInterceptPoint( { Start: Start1 , End: Current1 } , { Start: Start2 , End: Current2 } )
	
	if( Vector.TestLineInterceptPoint( InterceptPoint , { Start: Start1 , End: Current1 } , { Start: Start2 , End: Current2 } ) || Current1.Dist( Current2 ) <= 1 ){
	
		angle := vel2.GetAngle()
		Gdip_DrawLine(Gui1.G , pen3, 500 , 500 , Vel2.X + 500 , Vel2.Y +500 )
		Gui1.UpdateWindow()
		MsgBox, % "X: " InterceptPoint.X "`nY: " InterceptPoint.Y "`nAngle: " ( angle - 360 ) * -1
		ExitApp
	}
	
	return


;************
;Vector Class
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************
Class Vector	{
	;Written By: HB
	;Date: Sept 23rd, 2022
	;Last Edit: Sept 24th, 2022
	;Purpose: Vector math class 
	;Credit: Rohwedder 
	;Resources: 
		;Line intercept concepts and code: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=37175
		;Create an Arrow: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=92039&p=479129#p478944
		;Getting an angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483661#p483678
		;Setting an Angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483786#p483811
		;
		
	static RadToDeg := 45 / ATan( 1 ) 
		, DegToRad := ATan( 1 ) / 45 
		
	__New( x := 0 , y := 0 , rotate := 0 ){ 
		if( IsObject( x ) ){
			if( rotate = 3 ){
				This.X := x.X * -1
				,This.Y := x.Y * -1
			}else if( rotate = 2 ){
				This.X := x.Y 
				,This.Y := x.X * -1
			}else if( rotate = 1 ){
				This.X := x.Y * -1
				,This.Y := x.X 
			}else{
				This.X := x.X
				,This.Y := x.Y
			}
		}else{
			if( rotate = 3 ){
				This.X := X * -1
				,This.Y := Y * -1
			}else if( rotate = 2 ){
				This.X := Y 
				,This.Y := X * -1
			}else if( rotate = 1 ){
				This.X := Y * -1
				,This.Y := X 
			}else{
				This.X := X
				,This.Y := Y
			}
		}
	}
	Add( x , y := "" ){
		if( IsObject( x ) ){
			This.X += x.X
			,This.Y += x.Y
		}else if( y = "" ){
			This.X += x 
			,This.Y += x
		}else{
			This.X += x 
			,This.Y += y 
		}
	}
	Sub( x , y := "" ){
		if( IsObject( x ) ){
			This.X -= x.X
			,This.Y -= x.Y
		}else if( y = "" ){
			This.X -= X
			,This.Y -= X
		}else{
			This.X -= X
			,This.Y -= Y
		}
	}
	Div( x , y := "" ){
		if( IsObject( x ) ){
			This.X /= x.X
			,This.Y /= x.Y
		}else if( x && y = "" ){
			This.X /= x 
			,This.Y /= x 
		}else{
			This.X /= X
			,This.Y /= Y
		}
	}
	Mult( x , y := "" ){
		if( IsObject( x ) ){
			This.X *= x.X
			,This.Y *= x.Y
		}else if( x && y = "" ){
			This.X *= x 
			,This.Y *= x 
		}else{
			This.X *= X
			,This.Y *= Y
		}
	}
	Dist( x , y := "" ){
		if( IsObject( x ) )
			return Sqrt( ( ( This.X - x.X ) **2 ) + ( ( This.Y - x.Y ) **2 ) )
		else 
			return Sqrt( ( ( This.X - X ) **2 ) + ( ( This.Y - Y ) **2 ) )
	}
	GetMag(){
		return Sqrt( This.X * This.X + This.Y * This.Y )
	}
	SetMag( magnitude ){
		local m := This.GetMag()
		This.X := This.X * magnitude / m
		,This.Y := This.Y * magnitude / m
	}
	MagSq(){
		return This.GetMag()**2
	}	
	Dot( x , y := "" ){
		if( IsObject( x ) )
			return ( This.X * x.X ) + ( This.Y * x.Y )
		else
			return ( This.X * X ) + ( This.Y * Y )
	}
	Cross( x , y := "" ){
		if( IsObject( x ) )
			return This.X * x.Y - This.Y * x.X
		else
			return This.X * Y - This.Y * X
		
	}
	Norm(){
		local m := This.GetMag()
		This.X /= m
		This.Y /= m
	}
	GetAngle(){ 
		local angle 
		( (  angle := Vector.RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
		return angle
	}
	SetAngle( newAngle := 0 , NewVector := 0 ){
		local Angle := This.GetAngle()
		, ChangeAngle := newAngle - Angle 
		, Co := Cos( Vector.DegToRad * ChangeAngle )
		, Si := Sin( Vector.DegToRad * ChangeAngle )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	RotateAngle( rotationAmount := 90 , NewVector := 0 ){
		local Co := Cos( Vector.DegToRad * rotationAmount )
		, Si := Sin( Vector.DegToRad * rotationAmount )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	;********************************************
	;class methods
	TestLineInterceptPoint( interceptPoint , Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } } , interceptPoint = { X: , Y: }
		local
		for k , v in [ "X" , "Y" ]	
			M%v%_Min := min( Line1.Start[ v ] , Line1.End[ v ] )
			,M%v%_Max := max( Line1.Start[ v ] , Line1.End[ v ] )
			,L%v%_Min := min( Line2.Start[ v ] , Line2.End[ v ] )
			,L%v%_Max := max( Line2.Start[ v ] , Line2.End[ v ] )
		if( !( interceptPoint.X < Mx_Min || interceptPoint.X > Mx_Max || interceptPoint.X < Lx_Min || interceptPoint.X > Lx_Max ) && !( interceptPoint.Y < My_Min || interceptPoint.Y > My_Max || interceptPoint.Y < Ly_Min || interceptPoint.Y > Ly_Max ) )
			return 1
		return 0
	}
	GetLineInterceptPoint( Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } }
		local A1 := Line1.End.Y - Line1.Start.Y
		,B1 := Line1.Start.X - Line1.End.X
		,C1 := A1 * Line1.Start.X + B1 * Line1.Start.Y
		,A2 := Line2.End.Y - Line2.Start.Y
		,B2 := Line2.Start.X - Line2.End.X
		,C2 := A2 * Line2.Start.X + B2 * Line2.Start.Y
		,Denominator := A1 * B2 - A2 * B1 
		return New Vector( { X: ( ( B2 * C1 - B1 * C2 ) / Denominator )  , Y: ( ( A1 * C2 - A2 * C1 ) / Denominator ) } )
	}
	;********************************************
}
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************

;####################################################################################################################################################################################
;####################################################################################################################################################################################
;####################################################################################################################################################################################
;####################################################################################################################################################################################
class PopUpWindow	{
;PopUpWindow v2.2
;Date Written: Oct 28th, 2021
;Last Edit: Feb 7th, 2022 :Changed the trigger method.
;Written By: Hellbent aka CivReborn
;SpcThanks: teadrinker , malcev 
	static Index := 0 , Windows := [] , Handles := [] , EditHwnd , HelperHwnd
	__New( obj := "" ){
		This._SetDefaults()
		This.UpdateSettings( obj )
		This._CreateWindow()
		This._CreateWindowGraphics()
		if( This.AutoShow )
			This.ShowWindow( This.Title )
	}
	_SetDefaults(){
		This.X := 10
		This.Y := 10
		This.W := 10
		This.H := 10
		This.Smoothing := 2
		This.Options := " -DPIScale +AlwaysOnTop "
		This.AutoShow := 0
		This.GdipStartUp := 0
		This.Title := ""
		
		This.Controls := []
		This.Handles := []
		This.Index := 0 
	}
	AddTrigger( obj ){
		local k , v , cc , bd
		
		This.Controls[ ++This.Index ] := { 	X:		10
										,	Y:		10
										,	W:		10
										,	H:		10	}
		for k, v in obj
			This.Controls[ This.Index ][ k ] := obj[ k ] 
		cc := This.Controls[ This.Index ]
		Gui, % This.Hwnd ":Add", Text, % "x" cc.X " y" cc.Y " w" cc.W " h" cc.H " hwndhwnd"
		This.Handles[ hwnd ] := This.Index
		This.Controls[ This.Index ].Hwnd := hwnd
		
		if( IsObject( cc.Label ) ){
			bd := cc.Label
			GuiControl, % This.Hwnd ":+G" , % hwnd , % bd
		}else{
			bd := This._TriggerCall.Bind( This )
			GuiControl, % This.Hwnd ":+G" , % hwnd , % bd
		}
		return hwnd
		
	}
	_TriggerCall(){
		MouseGetPos,,,, ctrl, 2
		Try
			;~ SetTimer, % This.Controls[ This.Handles[ ctrl ] ].Label, -0
			gosub, % This.Controls[ This.Handles[ ctrl ] ].Label
		
				
	}
	DrawTriggers( color := "0xFFFF0000" , AutoUpdate := 0 ){
		local brush , cc 
		Brush := Gdip_BrushCreateSolid( color ) 
		Gdip_SetSmoothingMode( This.G , 3 )
		loop, % This.Controls.Length()	{
			cc := This.Controls[ A_Index ]
			Gdip_FillRectangle( This.G , Brush , cc.x , cc.y , cc.w , cc.h )
		
		}
		Gdip_DeleteBrush( Brush )
		Gdip_SetSmoothingMode( This.G , This.Smoothing )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	UpdateSettings( obj := "" , UpdateGraphics := 0 ){
		local k , v
		if( IsObject( obj ) )
			for k, v in obj
				This[ k ] := obj[ k ]
		( This.X = "Center" ) ? ( This.X := ( A_ScreenWidth - This.W ) / 2 ) 	
		( This.Y = "Center" ) ? ( This.Y := ( A_ScreenHeight - This.H ) / 2 ) 	
		if( UpdateGraphics ){
			This._DestroyWindowsGraphics()
			This._CreateWindowGraphics()
		}
	}
	_CreateWindow(){
		local hwnd
		Gui , New, % " +LastFound +E0x80000 hwndhwnd -Caption  " This.Options
		PopUpWindow.Index++
		This.Index := PopUpWindow.Index
		PopUpWindow.Windows[ PopUpWindow.Index ] := This
		This.Hwnd := hwnd
		PopUpWindow.Handles[ hwnd ] := PopUpWindow.Index
		if( This.GdipStartUp && !PopUpWindow.pToken )
			PopUpWindow.pToken := GDIP_STARTUP()
	}
	_DestroyWindowsGraphics(){
		Gdip_DeleteGraphics( This.G )
		SelectObject( This.hdc , This.obm )
		DeleteObject( This.hbm )
		DeleteDC( This.hdc )
	}
	_CreateWindowGraphics(){
		This.hbm := CreateDIBSection( This.W , This.H )
		This.hdc := CreateCompatibleDC()
		This.obm := SelectObject( This.hdc , This.hbm )
		This.G := Gdip_GraphicsFromHDC( This.hdc )
		Gdip_SetSmoothingMode( This.G , This.Smoothing )
	}
	ShowWindow( Title := "" ){
		Gui , % This.Hwnd ":Show", % "x" This.X " y" This.Y " w" This.W " h" This.H " NA", % Title
	}
	HideWindow(){
		Gui , % This.Hwnd ":Hide",
	}
	UpdateWindow( alpha := 255 ){
		UpdateLayeredWindow( This.hwnd , This.hdc , This.X , This.Y , This.W , This.H , alpha )
	}
	ClearWindow( AutoUpdate := 0 , Color := "" ){
		if( color != "" )
			Gdip_GraphicsClear( This.G , color )
		else
			Gdip_GraphicsClear( This.G )
		if( Autoupdate )
			This.UpdateWindow()
	}
	DrawBitmap( pBitmap , obj , dispose := 1 , AutoUpdate := 0 ){
		Gdip_DrawImage( This.G , pBitmap , obj.X , obj.Y , obj.W , obj.H )
		if( dispose )
			Gdip_DisposeImage( pBitmap )
		if( Autoupdate )
			This.UpdateWindow()
	}
	PaintBackground( color := "0xFF000000" , AutoUpdate := 0 ){
		if( isObject( color ) ){
			Brush := Gdip_BrushCreateSolid( ( color.HasKey( "Color" ) ) ? ( color.Color ) : ( "0xFF000000" ) ) 
			if( color.Haskey( "Round" ) )
				Gdip_FillRoundedRectangle( This.G , Brush , color.X , color.Y , color.W , color.H , color.Round )
			else
				Gdip_FillRectangle( This.G , Brush , color.X , color.Y , color.W , color.H ) 
		}else{
			Brush := Gdip_BrushCreateSolid( color ) 
			Gdip_FillRectangle( This.G , Brush , -1 , -1 , This.W + 2 , This.H + 2 ) 
		}
		Gdip_DeleteBrush( Brush )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	DeleteWindow( GDIPShutdown := 0 ){
		Gui, % This.Hwnd ":Destroy"
		SelectObject( This.hdc , This.obm )
		DeleteObject( This.hbm )
		DeleteDC( This.hdc )
		Gdip_DeleteGraphics( This.G )
		hwnd := This.Hwnd
		for k, v in PopUpWindow.Windows[ Hwnd ]
			This[k] := ""
		PopUpWindow.Windows[ Hwnd ] := ""
		if( GDIPShutdown ){
			Gdip_Shutdown( PopUpWindow.pToken )
			PopUpWindow.pToken := ""
		}
	}
	_OnClose( wParam ){
		if( wParam = 0xF060 ){	;SC_CLOSE ;[ clicking on the gui close button ]
			Try{
				Gui, % PopUpWindow.HelperHwnd ":Destroy"
				SoundBeep, 555
			}
		}
	}
	CreateCachedBitmap( pBitmap , Dispose := 0 ){
		local pCachedBitmap
		if( This.CachedBitmap )
			This.DisposeCachedbitmap()
		DllCall( "gdiplus\GdipCreateCachedBitmap" , "Ptr" , pBitmap , "Ptr" , this.G , "PtrP" , pCachedBitmap )
		This.CachedBitmap := pCachedBitmap
		if( Dispose )
			Gdip_DisposeImage( pBitmap )
	}
	DrawCachedBitmap( AutoUpdate := 0 ){
		DllCall( "gdiplus\GdipDrawCachedBitmap" , "Ptr" , this.G , "Ptr" , This.CachedBitmap , "Int" , 0 , "Int" , 0 )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	DisposeCachedbitmap(){
		DllCall( "gdiplus\GdipDeleteCachedBitmap" , "Ptr" , This.CachedBitmap )
	}
	Helper(){
		local hwnd , MethodList := ["__New","UpdateSettings","ShowWindow","HideWindow","UpdateWindow","ClearWindow","DrawBitmap","PaintBackground","DeleteWindow" , "AddTrigger" , "DrawTriggers", "CreateCachedBitmap" , "DrawCachedBitmap" , "DisposeCachedbitmap" ]
		Gui, New, +AlwaysOnTop +ToolWindow +HwndHwnd
		PopUpWindow.HelperHwnd := hwnd
		Gui, Add, Edit, xm ym w250 r1 Center hwndhwnd, Gui1
		PopUpWindow.EditHwnd := hwnd
		loop, % MethodList.Length()	
			Gui, Add, Button, xm y+1 w250 r1 gPopUpWindow._HelperClip, % MethodList[ A_Index ]
		Gui, Show,,
		OnMessage( 0x112 , This._OnClose.Bind( hwnd ) )
	}
	_HelperClip(){
		local ClipList 
		
		GuiControlGet, out, % PopUpWindow.HelperHwnd ":", % PopUpWindow.EditHwnd	
		
		ClipList := 		{ 	__New: 					" := New PopUpWindow( { AutoShow: 1 , X: 0 , Y: 0 , W: A_ScreenWidth , H: A_ScreenHeight , Options: "" -DPIScale +AlwaysOnTop "" } )"
							,	UpdateSettings:			".UpdateSettings( { X: """" , Y: """" , W: """" , H: """" } , UpdateGraphics := 0 )"
							,	ShowWindow:				".ShowWindow( Title := """" )"
							,	HideWindow:				".HideWindow()"
							,	UpdateWindow:			".UpdateWindow()"
							,	ClearWindow:			".ClearWindow( AutoUpdate := 0 )"
							,	DrawBitmap:				".DrawBitmap( pBitmap := """" , { X: 0 , Y: 0 , W: " Out ".W , H: " Out ".H } , dispose := 1 , AutoUpdate := 0 )"
							,	PaintBackground:		".PaintBackground( color := ""0xFF000000"" , AutoUpdate := 0 )  "  ";{ Color: ""0xFF000000"" , X: 2 , Y: 2 , W: " Out ".W - 4 , H: " Out ".H - 4 , Round: 10 }"
							,	DeleteWindow:			".DeleteWindow( GDIPShutdown := 0 )"
							,	AddTrigger:				".AddTrigger( { X: """" , Y: """" , W: """" , H: """" , Value: """" , Label: """" } )"	
							,	DrawTriggers:			".DrawTriggers( color := ""0xFFFF0000"" , AutoUpdate := 0 )"	
							,	CreateCachedBitmap:		".CreateCachedBitmap( pBitmap , Dispose := 0 )"	
							,	DrawCachedBitmap: 		".DrawCachedBitmap( AutoUpdate := 0 )"	
							,	DisposeCachedbitmap:	".DisposeCachedbitmap()"	}
							
		clipboard := Out ClipList[ A_GuiControl ]
		
	}
}

Hellbent: Posts: 2109; Joined: 23 Sep 2017, 13:34

Re: Get vector Angle ( Deg ) / Set Vector Angle ( Deg )

Post by Hellbent » 31 Dec 2023, 14:10

Updated the last example to show compass heading and made an example without the graphics.

.

: interceptpoint 3.gif (221.74 KiB) Viewed 273 times

.

Code: Select all

;****************************************************************************************************************************************************************************
#Include <GDIP_ALL> ;GDIP:  https://www.autohotkey.com/boards/viewtopic.php?f=6&t=6517
;~ #Include <PopUpWindow_V2> ; At the bottom of the script 
;~ #Include <HB Vectors v2>  ; At the bottom of the script
;~ #Include <ArrowHead Class v1>
;****************************************************************************************************************************************************************************
#SingleInstance, Force
SetBatchLines, -1
Gdip_Startup()

Gui1 := New PopUpWindow( { AutoShow: 1 , X: "Center" , Y: "Center" , W: A_ScreenWidth , H: A_ScreenHeight , Options: " +AlwaysOnTop -DPIScale " } ) 

pen1 := Gdip_CreatePen( "0xFFff0000", 3 )
pen2 := Gdip_CreatePen( "0xFF0000FF", 3 )
pen3 := Gdip_CreatePen( "0xFF00FF0F", 3 )

;~ Speed1 := 3.7 
Speed1 := 1.7 

;~ Speed2 := 3.9 
Speed2 := .9

Start1 := New Vector( 100 , A_ScreenHeight / 2 )
End1 := New Vector( 10000 , A_ScreenHeight / 2 )


Current1 := New Vector( Start1 )
vel1 := New Vector( End1 )
vel1.Sub( Start1 )
vel1.SetMag( Speed1 )

;~ Start2 := New Vector( 100 , A_ScreenHeight / 2 + 100 )
;~ Start2 := New Vector( 1500 , A_ScreenHeight - 100 )
Start2 := New Vector( 700 , 100 )	



End2 := New Vector( Current1 )

Vel2 := New Vector( End2 )
Vel2.Sub( Start2 )
Vel2.SetMag( Speed2 )
Current2 := New Vector( Start2 )

cIndex := 0
setTimer, Update, 10

return
GuiClose:
GuiContextMenu:
*ESC::ExitApp

RALT::PopUpWindow.Helper()

Update:
	cIndex++
	Current1.Add( vel1 )
	End2 := New Vector( Current1 ) 
	Vel2 := New Vector( End2 )
	Vel2.Sub( Start2 )
	Vel2.SetMag( Speed2 * cIndex )
	Current2 := New Vector( Start2 )
	Current2.Add( vel2 )
	Gui1.ClearWindow()
	Gdip_DrawLine(Gui1.G , pen1, Start1.X , Start1.Y , Current1.X , Current1.Y )
	Gdip_DrawLine(Gui1.G , pen2, Start2.X , Start2.Y , Current2.X , Current2.Y )
	
	
	vel2.SetMag( 150 )
		FillEllipse( Gui1.G , { X: 340 , Y: 340 , W: 320 , H: 320 } , Color := "0x99000000" , Scale := 1 ) ;{ ;RectObject = { X: 0 , Y: 0 , W: 100 , H: 100 } , G = graphics , color = 0xAARRGGBB
		Arrow := New ArrowHead( {X:0,Y:0} , vel2 , HeadLength := 30 , ArmLength := 20 , ElbowLength := 10 , 500 , 500 )
		FillPolygon( Gui1.G , Arrow , Color := "0xFFFF0000" )
		DrawPolygon( Gui1.G , Arrow , Color := "0xFFFFFFFF" , Thickness := 3 )
	
	
	Gui1.UpdateWindow()
	
	InterceptPoint := Vector.GetLineInterceptPoint( { Start: Start1 , End: Current1 } , { Start: Start2 , End: Current2 } )
	
	if( Vector.TestLineInterceptPoint( InterceptPoint , { Start: Start1 , End: Current1 } , { Start: Start2 , End: Current2 } ) || Current1.Dist( Current2 ) <= 1 ){
	
		angle := vel2.GetAngle()
		;~ Gdip_DrawLine(Gui1.G , pen3, 500 , 500 , Vel2.X + 500 , Vel2.Y +500 )
		vel2.SetMag( 150 )
		FillEllipse( Gui1.G , { X: 340 , Y: 340 , W: 320 , H: 320 } , Color := "0x99000000" , Scale := 1 ) ;{ ;RectObject = { X: 0 , Y: 0 , W: 100 , H: 100 } , G = graphics , color = 0xAARRGGBB
		Arrow := New ArrowHead( {X:0,Y:0} , vel2 , HeadLength := 30 , ArmLength := 20 , ElbowLength := 10 , 500 , 500 )
		FillPolygon( Gui1.G , Arrow , Color := "0xFF00FF00" )
		DrawPolygon( Gui1.G , Arrow , Color := "0xFFFFFFFF" , Thickness := 3 )
		;~ Gdip_DrawLine(Gui1.G , pen3, 500 , 500 , Vel2.X + 500 , Vel2.Y +500 )
		
		Gui1.UpdateWindow()
		MsgBox, % "X: " InterceptPoint.X "`nY: " InterceptPoint.Y "`nAngle: " ( angle - 360 ) * -1
		ExitApp
	}
	
	return

;&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
;&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
;&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
FillPolygon( G , Points := "50 , 50 | 100 , 100 | 150 , 50 | 50 , 50 " , Color := "0xFFFF0000" ){
	Brush := Gdip_BrushCreateSolid( Color ) , Gdip_FillPolygon( G , Brush , Points ) , Gdip_DeleteBrush( Brush )
}

DrawPolygon( G , Points := "50 , 50 | 100 , 100 | 150 , 50 | 50 , 50 " , Color := "0xFF000000" , Thickness := 3 ){
	Pen := Gdip_CreatePen( Color , Thickness ) , Gdip_DrawLines( G , Pen , Points ) , Gdip_DeletePen( Pen )
}
;############################;############################;############################;############################
FillEllipse( G , RectObject := "" , Color := "0xFF000000" , Scale := 1 ){ ;RectObject = { X: 0 , Y: 0 , W: 100 , H: 100 } , G = graphics , color = 0xAARRGGBB
	if( RectObject = "" )
		RectObject := { X: 0 , Y: 0 , W: 100 , H: 100 }
	cc := RectObject
	Brush := Gdip_BrushCreateSolid( Color ) 
	Gdip_FillEllipse( G , Brush , cc.X * Scale , cc.Y * Scale , cc.W * Scale , cc.H * Scale )
	Gdip_DeleteBrush( Brush )
}
;############################;############################;############################;############################
;************
;Vector Class
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************
Class Vector	{
	;Written By: HB
	;Date: Sept 23rd, 2022
	;Last Edit: Sept 24th, 2022
	;Purpose: Vector math class 
	;Credit: Rohwedder 
	;Resources: 
		;Line intercept concepts and code: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=37175
		;Create an Arrow: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=92039&p=479129#p478944
		;Getting an angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483661#p483678
		;Setting an Angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483786#p483811
		;
		
	static RadToDeg := 45 / ATan( 1 ) 
		, DegToRad := ATan( 1 ) / 45 
		
	__New( x := 0 , y := 0 , rotate := 0 ){ 
		if( IsObject( x ) ){
			if( rotate = 3 ){
				This.X := x.X * -1
				,This.Y := x.Y * -1
			}else if( rotate = 2 ){
				This.X := x.Y 
				,This.Y := x.X * -1
			}else if( rotate = 1 ){
				This.X := x.Y * -1
				,This.Y := x.X 
			}else{
				This.X := x.X
				,This.Y := x.Y
			}
		}else{
			if( rotate = 3 ){
				This.X := X * -1
				,This.Y := Y * -1
			}else if( rotate = 2 ){
				This.X := Y 
				,This.Y := X * -1
			}else if( rotate = 1 ){
				This.X := Y * -1
				,This.Y := X 
			}else{
				This.X := X
				,This.Y := Y
			}
		}
	}
	Add( x , y := "" ){
		if( IsObject( x ) ){
			This.X += x.X
			,This.Y += x.Y
		}else if( y = "" ){
			This.X += x 
			,This.Y += x
		}else{
			This.X += x 
			,This.Y += y 
		}
	}
	Sub( x , y := "" ){
		if( IsObject( x ) ){
			This.X -= x.X
			,This.Y -= x.Y
		}else if( y = "" ){
			This.X -= X
			,This.Y -= X
		}else{
			This.X -= X
			,This.Y -= Y
		}
	}
	Div( x , y := "" ){
		if( IsObject( x ) ){
			This.X /= x.X
			,This.Y /= x.Y
		}else if( x && y = "" ){
			This.X /= x 
			,This.Y /= x 
		}else{
			This.X /= X
			,This.Y /= Y
		}
	}
	Mult( x , y := "" ){
		if( IsObject( x ) ){
			This.X *= x.X
			,This.Y *= x.Y
		}else if( x && y = "" ){
			This.X *= x 
			,This.Y *= x 
		}else{
			This.X *= X
			,This.Y *= Y
		}
	}
	Dist( x , y := "" ){
		if( IsObject( x ) )
			return Sqrt( ( ( This.X - x.X ) **2 ) + ( ( This.Y - x.Y ) **2 ) )
		else 
			return Sqrt( ( ( This.X - X ) **2 ) + ( ( This.Y - Y ) **2 ) )
	}
	GetMag(){
		return Sqrt( This.X * This.X + This.Y * This.Y )
	}
	SetMag( magnitude ){
		local m := This.GetMag()
		This.X := This.X * magnitude / m
		,This.Y := This.Y * magnitude / m
	}
	MagSq(){
		return This.GetMag()**2
	}	
	Dot( x , y := "" ){
		if( IsObject( x ) )
			return ( This.X * x.X ) + ( This.Y * x.Y )
		else
			return ( This.X * X ) + ( This.Y * Y )
	}
	Cross( x , y := "" ){
		if( IsObject( x ) )
			return This.X * x.Y - This.Y * x.X
		else
			return This.X * Y - This.Y * X
		
	}
	Norm(){
		local m := This.GetMag()
		This.X /= m
		This.Y /= m
	}
	GetAngle(){ 
		local angle 
		( (  angle := Vector.RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
		return angle
	}
	SetAngle( newAngle := 0 , NewVector := 0 ){
		local Angle := This.GetAngle()
		, ChangeAngle := newAngle - Angle 
		, Co := Cos( Vector.DegToRad * ChangeAngle )
		, Si := Sin( Vector.DegToRad * ChangeAngle )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	RotateAngle( rotationAmount := 90 , NewVector := 0 ){
		local Co := Cos( Vector.DegToRad * rotationAmount )
		, Si := Sin( Vector.DegToRad * rotationAmount )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	;********************************************
	;class methods
	TestLineInterceptPoint( interceptPoint , Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } } , interceptPoint = { X: , Y: }
		local
		for k , v in [ "X" , "Y" ]	
			M%v%_Min := min( Line1.Start[ v ] , Line1.End[ v ] )
			,M%v%_Max := max( Line1.Start[ v ] , Line1.End[ v ] )
			,L%v%_Min := min( Line2.Start[ v ] , Line2.End[ v ] )
			,L%v%_Max := max( Line2.Start[ v ] , Line2.End[ v ] )
		if( !( interceptPoint.X < Mx_Min || interceptPoint.X > Mx_Max || interceptPoint.X < Lx_Min || interceptPoint.X > Lx_Max ) && !( interceptPoint.Y < My_Min || interceptPoint.Y > My_Max || interceptPoint.Y < Ly_Min || interceptPoint.Y > Ly_Max ) )
			return 1
		return 0
	}
	GetLineInterceptPoint( Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } }
		local A1 := Line1.End.Y - Line1.Start.Y
		,B1 := Line1.Start.X - Line1.End.X
		,C1 := A1 * Line1.Start.X + B1 * Line1.Start.Y
		,A2 := Line2.End.Y - Line2.Start.Y
		,B2 := Line2.Start.X - Line2.End.X
		,C2 := A2 * Line2.Start.X + B2 * Line2.Start.Y
		,Denominator := A1 * B2 - A2 * B1 
		return New Vector( { X: ( ( B2 * C1 - B1 * C2 ) / Denominator )  , Y: ( ( A1 * C2 - A2 * C1 ) / Denominator ) } )
	}
	;********************************************
}
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************

;####################################################################################################################################################################################
;####################################################################################################################################################################################
;####################################################################################################################################################################################
;####################################################################################################################################################################################
class PopUpWindow	{
;PopUpWindow v2.2
;Date Written: Oct 28th, 2021
;Last Edit: Feb 7th, 2022 :Changed the trigger method.
;Written By: Hellbent aka CivReborn
;SpcThanks: teadrinker , malcev 
	static Index := 0 , Windows := [] , Handles := [] , EditHwnd , HelperHwnd
	__New( obj := "" ){
		This._SetDefaults()
		This.UpdateSettings( obj )
		This._CreateWindow()
		This._CreateWindowGraphics()
		if( This.AutoShow )
			This.ShowWindow( This.Title )
	}
	_SetDefaults(){
		This.X := 10
		This.Y := 10
		This.W := 10
		This.H := 10
		This.Smoothing := 2
		This.Options := " -DPIScale +AlwaysOnTop "
		This.AutoShow := 0
		This.GdipStartUp := 0
		This.Title := ""
		
		This.Controls := []
		This.Handles := []
		This.Index := 0 
	}
	AddTrigger( obj ){
		local k , v , cc , bd
		
		This.Controls[ ++This.Index ] := { 	X:		10
										,	Y:		10
										,	W:		10
										,	H:		10	}
		for k, v in obj
			This.Controls[ This.Index ][ k ] := obj[ k ] 
		cc := This.Controls[ This.Index ]
		Gui, % This.Hwnd ":Add", Text, % "x" cc.X " y" cc.Y " w" cc.W " h" cc.H " hwndhwnd"
		This.Handles[ hwnd ] := This.Index
		This.Controls[ This.Index ].Hwnd := hwnd
		
		if( IsObject( cc.Label ) ){
			bd := cc.Label
			GuiControl, % This.Hwnd ":+G" , % hwnd , % bd
		}else{
			bd := This._TriggerCall.Bind( This )
			GuiControl, % This.Hwnd ":+G" , % hwnd , % bd
		}
		return hwnd
		
	}
	_TriggerCall(){
		MouseGetPos,,,, ctrl, 2
		Try
			;~ SetTimer, % This.Controls[ This.Handles[ ctrl ] ].Label, -0
			gosub, % This.Controls[ This.Handles[ ctrl ] ].Label
		
				
	}
	DrawTriggers( color := "0xFFFF0000" , AutoUpdate := 0 ){
		local brush , cc 
		Brush := Gdip_BrushCreateSolid( color ) 
		Gdip_SetSmoothingMode( This.G , 3 )
		loop, % This.Controls.Length()	{
			cc := This.Controls[ A_Index ]
			Gdip_FillRectangle( This.G , Brush , cc.x , cc.y , cc.w , cc.h )
		
		}
		Gdip_DeleteBrush( Brush )
		Gdip_SetSmoothingMode( This.G , This.Smoothing )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	UpdateSettings( obj := "" , UpdateGraphics := 0 ){
		local k , v
		if( IsObject( obj ) )
			for k, v in obj
				This[ k ] := obj[ k ]
		( This.X = "Center" ) ? ( This.X := ( A_ScreenWidth - This.W ) / 2 ) 	
		( This.Y = "Center" ) ? ( This.Y := ( A_ScreenHeight - This.H ) / 2 ) 	
		if( UpdateGraphics ){
			This._DestroyWindowsGraphics()
			This._CreateWindowGraphics()
		}
	}
	_CreateWindow(){
		local hwnd
		Gui , New, % " +LastFound +E0x80000 hwndhwnd -Caption  " This.Options
		PopUpWindow.Index++
		This.Index := PopUpWindow.Index
		PopUpWindow.Windows[ PopUpWindow.Index ] := This
		This.Hwnd := hwnd
		PopUpWindow.Handles[ hwnd ] := PopUpWindow.Index
		if( This.GdipStartUp && !PopUpWindow.pToken )
			PopUpWindow.pToken := GDIP_STARTUP()
	}
	_DestroyWindowsGraphics(){
		Gdip_DeleteGraphics( This.G )
		SelectObject( This.hdc , This.obm )
		DeleteObject( This.hbm )
		DeleteDC( This.hdc )
	}
	_CreateWindowGraphics(){
		This.hbm := CreateDIBSection( This.W , This.H )
		This.hdc := CreateCompatibleDC()
		This.obm := SelectObject( This.hdc , This.hbm )
		This.G := Gdip_GraphicsFromHDC( This.hdc )
		Gdip_SetSmoothingMode( This.G , This.Smoothing )
	}
	ShowWindow( Title := "" ){
		Gui , % This.Hwnd ":Show", % "x" This.X " y" This.Y " w" This.W " h" This.H " NA", % Title
	}
	HideWindow(){
		Gui , % This.Hwnd ":Hide",
	}
	UpdateWindow( alpha := 255 ){
		UpdateLayeredWindow( This.hwnd , This.hdc , This.X , This.Y , This.W , This.H , alpha )
	}
	ClearWindow( AutoUpdate := 0 , Color := "" ){
		if( color != "" )
			Gdip_GraphicsClear( This.G , color )
		else
			Gdip_GraphicsClear( This.G )
		if( Autoupdate )
			This.UpdateWindow()
	}
	DrawBitmap( pBitmap , obj , dispose := 1 , AutoUpdate := 0 ){
		Gdip_DrawImage( This.G , pBitmap , obj.X , obj.Y , obj.W , obj.H )
		if( dispose )
			Gdip_DisposeImage( pBitmap )
		if( Autoupdate )
			This.UpdateWindow()
	}
	PaintBackground( color := "0xFF000000" , AutoUpdate := 0 ){
		if( isObject( color ) ){
			Brush := Gdip_BrushCreateSolid( ( color.HasKey( "Color" ) ) ? ( color.Color ) : ( "0xFF000000" ) ) 
			if( color.Haskey( "Round" ) )
				Gdip_FillRoundedRectangle( This.G , Brush , color.X , color.Y , color.W , color.H , color.Round )
			else
				Gdip_FillRectangle( This.G , Brush , color.X , color.Y , color.W , color.H ) 
		}else{
			Brush := Gdip_BrushCreateSolid( color ) 
			Gdip_FillRectangle( This.G , Brush , -1 , -1 , This.W + 2 , This.H + 2 ) 
		}
		Gdip_DeleteBrush( Brush )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	DeleteWindow( GDIPShutdown := 0 ){
		Gui, % This.Hwnd ":Destroy"
		SelectObject( This.hdc , This.obm )
		DeleteObject( This.hbm )
		DeleteDC( This.hdc )
		Gdip_DeleteGraphics( This.G )
		hwnd := This.Hwnd
		for k, v in PopUpWindow.Windows[ Hwnd ]
			This[k] := ""
		PopUpWindow.Windows[ Hwnd ] := ""
		if( GDIPShutdown ){
			Gdip_Shutdown( PopUpWindow.pToken )
			PopUpWindow.pToken := ""
		}
	}
	_OnClose( wParam ){
		if( wParam = 0xF060 ){	;SC_CLOSE ;[ clicking on the gui close button ]
			Try{
				Gui, % PopUpWindow.HelperHwnd ":Destroy"
				SoundBeep, 555
			}
		}
	}
	CreateCachedBitmap( pBitmap , Dispose := 0 ){
		local pCachedBitmap
		if( This.CachedBitmap )
			This.DisposeCachedbitmap()
		DllCall( "gdiplus\GdipCreateCachedBitmap" , "Ptr" , pBitmap , "Ptr" , this.G , "PtrP" , pCachedBitmap )
		This.CachedBitmap := pCachedBitmap
		if( Dispose )
			Gdip_DisposeImage( pBitmap )
	}
	DrawCachedBitmap( AutoUpdate := 0 ){
		DllCall( "gdiplus\GdipDrawCachedBitmap" , "Ptr" , this.G , "Ptr" , This.CachedBitmap , "Int" , 0 , "Int" , 0 )
		if( AutoUpdate )
			This.UpdateWindow()
	}
	DisposeCachedbitmap(){
		DllCall( "gdiplus\GdipDeleteCachedBitmap" , "Ptr" , This.CachedBitmap )
	}
	Helper(){
		local hwnd , MethodList := ["__New","UpdateSettings","ShowWindow","HideWindow","UpdateWindow","ClearWindow","DrawBitmap","PaintBackground","DeleteWindow" , "AddTrigger" , "DrawTriggers", "CreateCachedBitmap" , "DrawCachedBitmap" , "DisposeCachedbitmap" ]
		Gui, New, +AlwaysOnTop +ToolWindow +HwndHwnd
		PopUpWindow.HelperHwnd := hwnd
		Gui, Add, Edit, xm ym w250 r1 Center hwndhwnd, Gui1
		PopUpWindow.EditHwnd := hwnd
		loop, % MethodList.Length()	
			Gui, Add, Button, xm y+1 w250 r1 gPopUpWindow._HelperClip, % MethodList[ A_Index ]
		Gui, Show,,
		OnMessage( 0x112 , This._OnClose.Bind( hwnd ) )
	}
	_HelperClip(){
		local ClipList 
		
		GuiControlGet, out, % PopUpWindow.HelperHwnd ":", % PopUpWindow.EditHwnd	
		
		ClipList := 		{ 	__New: 					" := New PopUpWindow( { AutoShow: 1 , X: 0 , Y: 0 , W: A_ScreenWidth , H: A_ScreenHeight , Options: "" -DPIScale +AlwaysOnTop "" } )"
							,	UpdateSettings:			".UpdateSettings( { X: """" , Y: """" , W: """" , H: """" } , UpdateGraphics := 0 )"
							,	ShowWindow:				".ShowWindow( Title := """" )"
							,	HideWindow:				".HideWindow()"
							,	UpdateWindow:			".UpdateWindow()"
							,	ClearWindow:			".ClearWindow( AutoUpdate := 0 )"
							,	DrawBitmap:				".DrawBitmap( pBitmap := """" , { X: 0 , Y: 0 , W: " Out ".W , H: " Out ".H } , dispose := 1 , AutoUpdate := 0 )"
							,	PaintBackground:		".PaintBackground( color := ""0xFF000000"" , AutoUpdate := 0 )  "  ";{ Color: ""0xFF000000"" , X: 2 , Y: 2 , W: " Out ".W - 4 , H: " Out ".H - 4 , Round: 10 }"
							,	DeleteWindow:			".DeleteWindow( GDIPShutdown := 0 )"
							,	AddTrigger:				".AddTrigger( { X: """" , Y: """" , W: """" , H: """" , Value: """" , Label: """" } )"	
							,	DrawTriggers:			".DrawTriggers( color := ""0xFFFF0000"" , AutoUpdate := 0 )"	
							,	CreateCachedBitmap:		".CreateCachedBitmap( pBitmap , Dispose := 0 )"	
							,	DrawCachedBitmap: 		".DrawCachedBitmap( AutoUpdate := 0 )"	
							,	DisposeCachedbitmap:	".DisposeCachedbitmap()"	}
							
		clipboard := Out ClipList[ A_GuiControl ]
		
	}
}
;**********************************************************************************************************************************************************************************************************
;**********************************************************************************************************************************************************************************************************
;**********************************************************************************************************************************************************************************************************
class ArrowHead	{
	;Written By: Hellbent
	;Date: Aug 24th 2022
	;Last Edit: Sept 24th, 2022
	;Purpose: Create a list of points to draw an arrow.  " x , y | x , y | etc... "
	__New( Start , End , HeadLength := 30 , ArmLength := 20 , ElbowLength := 10 , x_offset := 0 , y_offset := 0 ){
		if( This._DistanceBetweenVectors( Start , End ) < ( HeadLength + HeadLength * 2 ) ){
			temp := This._NewVector( End.X + 1 , End.Y + 1 )
			This._SubVector( temp , Start )
			This._SetVectorMag( temp ,  HeadLength + HeadLength * 2 )
			This._AddVector( temp , Start )
			End := This._NewVector( temp )
		}
		Master := This._NewVector( Start )
		This._SubVector( Master , End )
		Head := This._NewVector( Master )
		This._SetVectorMag( Head ,  HeadLength )
		This._AddVector( Head , End )
		RightArm := This._NewVector( Master , , 2 )
		This._SetVectorMag( RightArm ,  ArmLength )
		This._AddVector( RightArm , Head )
		LeftArm := This._NewVector( Master , , 1 )
		This._SetVectorMag( LeftArm ,  ArmLength )
		This._AddVector( LeftArm , Head )
		RightElbow := This._NewVector( Master , , 2 )
		This._SetVectorMag( RightElbow ,  ElbowLength )
		This._AddVector( RightElbow , Head )
		LeftElbow := This._NewVector( Master , , 1 )
		This._SetVectorMag( LeftElbow ,  ElbowLength )
		This._AddVector( LeftElbow , Head )
		output := ""
		for k , v in [ "Start" , "RightElbow" , "RightArm" , "End" , "LeftArm" , "LeftElbow" , "Start" ] {	
			
			a := %v%.X + x_offset
			b := %v%.Y + y_offset
			output .= a "," b "|"
		
		}
		return output
	}
	_CopyVector( vector ){
		return This._NewVector( vector.X , vector.Y )
	}
	_NewVector( x , y := "" , rotate := 0 ){
		if( IsObject( x ) ){
			if( rotate = 1 )
				return { X: x.Y * -1 , Y: x.X }
			else if( rotate = 2 )
				return { X: x.Y , Y: x.X * -1 }
			else
				return { X: x.X , Y: x.Y }
		}else
			return { X: x , Y: y }
	}
	_DistanceBetweenVectors( vector1 , vector2 ){
		return Sqrt( ( ( vector1.X - vector2.X ) **2 ) + ( ( vector1.Y - vector2.Y ) **2 ) )
	}
	_SubVector( vector1 , vector2 ){
		vector1.X -= vector2.X
		vector1.Y -= vector2.Y
	}
	_AddVector( vector1 , vector2 ){
		vector1.X += vector2.X
		vector1.Y += vector2.Y
	}
	_SetVectorMag( vector , mag ){
		local m := This._GetVectorMag( vector )
		vector.X := vector.X * mag / m
		vector.Y := vector.Y * mag / m
	}
	_GetVectorMag( vector ){
		return Sqrt( vector.X * vector.X + vector.Y * vector.Y )
	}
}

Code: Select all

#SingleInstance, Force
SetBatchLines, -1

;~ Speed1 := 3.7 
Speed1 := 1.7 / 10

;~ Speed2 := 3.9
Speed2 := .9 / 10 ;divide to get better results ( i.e. split time/distance into smaller units [60 km/h => 1 km/min ) 

Start1 := New Vector( 100 , A_ScreenHeight / 2 )
End1 := New Vector( 10000 , A_ScreenHeight / 2 )
Current1 := New Vector( Start1 )
vel1 := New Vector( End1 )
vel1.Sub( Start1 )
vel1.SetMag( Speed1 )

;~ Start2 := New Vector( 100 , A_ScreenHeight / 2 + 100 )
;~ Start2 := New Vector( 1500 , A_ScreenHeight - 100 )
Start2 := New Vector( 700 , 100 )	

End2 := New Vector( Current1 )
Vel2 := New Vector( End2 )
Vel2.Sub( Start2 )
Vel2.SetMag( Speed2 )
Current2 := New Vector( Start2 )

cIndex := 0

Loop, 	{
	cIndex++
	Current1.Add( vel1 )
	End2 := New Vector( Current1 ) 
	Vel2 := New Vector( End2 )
	Vel2.Sub( Start2 )
	Vel2.SetMag( Speed2 * cIndex )
	Current2 := New Vector( Start2 )
	Current2.Add( vel2 )
	InterceptPoint := Vector.GetLineInterceptPoint( { Start: Start1 , End: Current1 } , { Start: Start2 , End: Current2 } )
	if( Vector.TestLineInterceptPoint( InterceptPoint , { Start: Start1 , End: Current1 } , { Start: Start2 , End: Current2 } ) || Current1.Dist( Current2 ) <= 1 ){
		angle := vel2.GetAngle()
		MsgBox, % "X: " InterceptPoint.X "`nY: " InterceptPoint.Y "`nAngle: " ( angle - 360 ) * -1
		ExitApp
	}
}

*ESC::ExitApp

;************
;Vector Class
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************
Class Vector	{
	;Written By: HB
	;Date: Sept 23rd, 2022
	;Last Edit: Sept 24th, 2022
	;Purpose: Vector math class 
	;Credit: Rohwedder 
	;Resources: 
		;Line intercept concepts and code: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=37175
		;Create an Arrow: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=92039&p=479129#p478944
		;Getting an angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483661#p483678
		;Setting an Angle: https://www.autohotkey.com/boards/viewtopic.php?f=76&t=108760&p=483786#p483811
		;
		
	static RadToDeg := 45 / ATan( 1 ) 
		, DegToRad := ATan( 1 ) / 45 
		
	__New( x := 0 , y := 0 , rotate := 0 ){ 
		if( IsObject( x ) ){
			if( rotate = 3 ){
				This.X := x.X * -1
				,This.Y := x.Y * -1
			}else if( rotate = 2 ){
				This.X := x.Y 
				,This.Y := x.X * -1
			}else if( rotate = 1 ){
				This.X := x.Y * -1
				,This.Y := x.X 
			}else{
				This.X := x.X
				,This.Y := x.Y
			}
		}else{
			if( rotate = 3 ){
				This.X := X * -1
				,This.Y := Y * -1
			}else if( rotate = 2 ){
				This.X := Y 
				,This.Y := X * -1
			}else if( rotate = 1 ){
				This.X := Y * -1
				,This.Y := X 
			}else{
				This.X := X
				,This.Y := Y
			}
		}
	}
	Add( x , y := "" ){
		if( IsObject( x ) ){
			This.X += x.X
			,This.Y += x.Y
		}else if( y = "" ){
			This.X += x 
			,This.Y += x
		}else{
			This.X += x 
			,This.Y += y 
		}
	}
	Sub( x , y := "" ){
		if( IsObject( x ) ){
			This.X -= x.X
			,This.Y -= x.Y
		}else if( y = "" ){
			This.X -= X
			,This.Y -= X
		}else{
			This.X -= X
			,This.Y -= Y
		}
	}
	Div( x , y := "" ){
		if( IsObject( x ) ){
			This.X /= x.X
			,This.Y /= x.Y
		}else if( x && y = "" ){
			This.X /= x 
			,This.Y /= x 
		}else{
			This.X /= X
			,This.Y /= Y
		}
	}
	Mult( x , y := "" ){
		if( IsObject( x ) ){
			This.X *= x.X
			,This.Y *= x.Y
		}else if( x && y = "" ){
			This.X *= x 
			,This.Y *= x 
		}else{
			This.X *= X
			,This.Y *= Y
		}
	}
	Dist( x , y := "" ){
		if( IsObject( x ) )
			return Sqrt( ( ( This.X - x.X ) **2 ) + ( ( This.Y - x.Y ) **2 ) )
		else 
			return Sqrt( ( ( This.X - X ) **2 ) + ( ( This.Y - Y ) **2 ) )
	}
	GetMag(){
		return Sqrt( This.X * This.X + This.Y * This.Y )
	}
	SetMag( magnitude ){
		local m := This.GetMag()
		This.X := This.X * magnitude / m
		,This.Y := This.Y * magnitude / m
	}
	MagSq(){
		return This.GetMag()**2
	}	
	Dot( x , y := "" ){
		if( IsObject( x ) )
			return ( This.X * x.X ) + ( This.Y * x.Y )
		else
			return ( This.X * X ) + ( This.Y * Y )
	}
	Cross( x , y := "" ){
		if( IsObject( x ) )
			return This.X * x.Y - This.Y * x.X
		else
			return This.X * Y - This.Y * X
		
	}
	Norm(){
		local m := This.GetMag()
		This.X /= m
		This.Y /= m
	}
	GetAngle(){ 
		local angle 
		( (  angle := Vector.RadToDeg * DllCall( "msvcrt\atan2" , "Double" , This.Y , "Double" , This.X , "CDECL Double" ) ) < 0 ) ? ( angle += 360 )
		return angle
	}
	SetAngle( newAngle := 0 , NewVector := 0 ){
		local Angle := This.GetAngle()
		, ChangeAngle := newAngle - Angle 
		, Co := Cos( Vector.DegToRad * ChangeAngle )
		, Si := Sin( Vector.DegToRad * ChangeAngle )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	RotateAngle( rotationAmount := 90 , NewVector := 0 ){
		local Co := Cos( Vector.DegToRad * rotationAmount )
		, Si := Sin( Vector.DegToRad * rotationAmount )
		, X := This.X 
		, Y := This.Y
		, X2 := X * Co - Y * Si 
		, Y2 := X * Si + Y * Co 
		
		if( !NewVector )
			This.X := X2 , This.Y := Y2
		else 
			return New Vector( X2 , Y2 )
	}
	;********************************************
	;class methods
	TestLineInterceptPoint( interceptPoint , Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } } , interceptPoint = { X: , Y: }
		local
		for k , v in [ "X" , "Y" ]	
			M%v%_Min := min( Line1.Start[ v ] , Line1.End[ v ] )
			,M%v%_Max := max( Line1.Start[ v ] , Line1.End[ v ] )
			,L%v%_Min := min( Line2.Start[ v ] , Line2.End[ v ] )
			,L%v%_Max := max( Line2.Start[ v ] , Line2.End[ v ] )
		if( !( interceptPoint.X < Mx_Min || interceptPoint.X > Mx_Max || interceptPoint.X < Lx_Min || interceptPoint.X > Lx_Max ) && !( interceptPoint.Y < My_Min || interceptPoint.Y > My_Max || interceptPoint.Y < Ly_Min || interceptPoint.Y > Ly_Max ) )
			return 1
		return 0
	}
	GetLineInterceptPoint( Line1 , Line2 ){ ; Line = { Start: { X: , Y: } , End: { X: , Y: } }
		local A1 := Line1.End.Y - Line1.Start.Y
		,B1 := Line1.Start.X - Line1.End.X
		,C1 := A1 * Line1.Start.X + B1 * Line1.Start.Y
		,A2 := Line2.End.Y - Line2.Start.Y
		,B2 := Line2.Start.X - Line2.End.X
		,C2 := A2 * Line2.Start.X + B2 * Line2.Start.Y
		,Denominator := A1 * B2 - A2 * B1 
		return New Vector( { X: ( ( B2 * C1 - B1 * C2 ) / Denominator )  , Y: ( ( A1 * C2 - A2 * C1 ) / Denominator ) } )
	}
	;********************************************
}
;**************************************************************************************************************************************************************************
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 00000 <<<>>> 00000 
;**************************************************************************************************************************************************************************

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