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Everything in Degrees instead of Radians
#5
As promised Regular Polygons Filled without any Alpha color problems PLUS the TriFill is a Drawing Utility worth the price of admission in itself!!!

First we draw random sets or Regular Polys Filled, use any key for another set, and escape to see the Spin Demo use x to quit that.
Code: (Select All)
Option _Explicit
_Title "Sub for Regular Polygon Fill Using Degrees" 'b+ 2022-10-13
Screen _NewImage(800, 600, 32) ' standard screen size 800 wide, 600 height for quick QB64 Demos with full color potential (the 32)
_ScreenMove 250, 50
Dim i

' Give RegularPolygonFill sub a random workout
Do
    Cls
    For i = 1 To 50
        RegularPolyFill Rnd * _Width, Rnd * _Height, Rnd * 100 + 5, Int(Rnd * 10) + 3, Rnd * 360, _RGB32(225 * Rnd + 30, 255 * Rnd, 255 * Rnd, 225 * Rnd + 30)
    Next
    Print "zzz... Esc for next demo, any other for another Random set."
    Sleep
Loop Until _KeyDown(27)

'lets take a set for a spin, User Defined Type (UDT) some poly's
Type poly
    As Single x, y, r, p, dStart, rDir, deltaD, s
    As _Unsigned Long k
End Type

Dim pf(1 To 100) As poly ' poly array to load
For i = 1 To 100 '                             makeup a bunch of poly data
    pf(i).x = Rnd * _Width
    pf(i).y = Rnd * _Height
    pf(i).r = Rnd * 100 + 5 '                              radius
    pf(i).p = Int(Rnd * 10) + 3 '                          n points
    pf(i).dStart = Rnd * 360 '                             start angle of polygon
    If Rnd < .5 Then pf(i).rDir = -1 Else pf(i).rDir = 1 ' direction to spin
    pf(i).deltaD = Rnd * 10 + .5 '                         spin amount
    pf(i).k = _RGB32(225 * Rnd + 30, 255 * Rnd, 255 * Rnd, 225 * Rnd + 30) ' Kolor
Next

Do
    Cls
    For i = 1 To 100
        RegularPolyFill pf(i).x, pf(i).y, pf(i).r, pf(i).p, pf(i).dStart, pf(i).k
        pf(i).dStart = pf(i).dStart + pf(i).rDir * pf(i).deltaD
    Next
    Print "Use x to quit..."
    _Display ' stops blinking
    _Limit 30 ' loop at most 30 times a sec
Loop Until _KeyDown(Asc("x"))

Sub RegularPolyFill (cx, cy, radius, nPoints, dStart, K As _Unsigned Long)
    Dim secDegrees, p, x, y, lastX, lastY, startX, startY
    secDegrees = 360 / nPoints
    For p = 1 To nPoints
        x = cx + radius * CosD(dStart + p * secDegrees)
        y = cy + radius * SinD(dStart + p * secDegrees)
        If p > 1 Then
            TriFill cx, cy, lastX, lastY, x, y, K
        Else
            startX = x: startY = y
        End If
        lastX = x: lastY = y
    Next
    TriFill cx, cy, lastX, lastY, startX, startY, K ' back to first point
End Sub

Sub RegularPoly (cx, cy, radius, nPoints, dStart, K As _Unsigned Long)
    Dim secDegrees, p, x, y, saveX, saveY
    secDegrees = 360 / nPoints
    For p = 1 To nPoints
        x = cx + radius * CosD(dStart + p * secDegrees)
        y = cy + radius * SinD(dStart + p * secDegrees)
        If p = 1 Then PSet (x, y), K: saveX = x: saveY = y Else Line -(x, y), K
    Next
    Line -(saveX, saveY), K ' back to first point
End Sub

' use angles in degrees units instead of radians (converted inside sub)
Function CosD (degrees)
    ' Note this function uses whatever the default type is, better not be some Integer Type.
    CosD = Cos(_D2R(degrees))
End Function

' use angles in degrees units instead of radians (converted inside sub)
Function SinD (degrees)
    ' Note this function uses whatever the default type is, better not be some Integer Type.
    SinD = Sin(_D2R(degrees))
End Function

' use angles in degrees units instead of radians (converted inside sub)
Function DAtan2 (x1, y1, x2, y2) ' The angle in degrees a 2nd point (x2, y2)  makes to a first point (x1, y1)
    ' Note this function uses whatever the default type is, better not be some Integer Type.
    ' Delta means change between 1 measure and another for example x2 - x1
    Dim deltaX, deltaY, rtn
    deltaX = x2 - x1
    deltaY = y2 - y1
    '  To find the angle point(x2, y2) makes to (x1, y1) in Degrees
    ' Take DegreeAngle = DAtan2(y2 - y1, x2 - x1)
    rtn = _R2D(_Atan2(deltaY, deltaX))
    If rtn < 0 Then DAtan2 = rtn + 360 Else DAtan2 = rtn
End Function

' use angles in degrees units instead of radians (converted inside sub)
Sub ArrowTo (BaseX As Long, BaseY As Long, dAngle As Double, lngth As Long, colr As _Unsigned Long)
    Dim As Long x1, y1, x2, y2, x3, y3
    Dim As Double rAngle
    rAngle = _D2R(dAngle)
    x1 = BaseX + lngth * Cos(rAngle)
    y1 = BaseY + lngth * Sin(rAngle)
    x2 = BaseX + .8 * lngth * Cos(rAngle - _Pi(.05))
    y2 = BaseY + .8 * lngth * Sin(rAngle - _Pi(.05))
    x3 = BaseX + .8 * lngth * Cos(rAngle + _Pi(.05))
    y3 = BaseY + .8 * lngth * Sin(rAngle + _Pi(.05))
    Line (BaseX, BaseY)-(x1, y1), colr
    Line (x1, y1)-(x2, y2), colr
    Line (x1, y1)-(x3, y3), colr
End Sub

' use angles in degrees units instead of radians (converted inside sub)
Sub drawArc (xc, yc, radius, dStart, dMeasure, colr As _Unsigned Long)
    ' xc, yc Center for arc circle
    ' rStart is the Radian Start Angle, use _D2R for conversion from Degrees to Radians
    ' rMeasure is the measure of Arc in Radain units, use _D2R for conversion from Degrees to Radians
    ' Arc will start at rStart and go clockwise around for rMeasure Radians

    Dim rStart, rMeasure, rEnd, stepper, a, x, y
    rStart = _D2R(dStart)
    rMeasure = _D2R(dMeasure)
    rEnd = rStart + rMeasure
    stepper = 1 / radius ' the bigger the radius the smaller  the steps
    For a = rStart To rEnd Step stepper
        x = xc + radius * Cos(a)
        y = yc + radius * Sin(a)
        If a > rStart Then Line -(x, y), colr Else PSet (x, y), colr
    Next
End Sub

''   BEST saves dest and optimized with Static a& and alpha colors work better
'2019-12-16 fix by Steve saves some time with STATIC and saves and restores last dest
Sub TriFill (x1, y1, x2, y2, x3, y3, K As _Unsigned Long) ' 2022-10-13 changed name
    Dim D As Long
    Static a&
    D = _Dest
    If a& = 0 Then a& = _NewImage(1, 1, 32)
    _Dest a&
    _DontBlend a& '  '<<<< new 2019-12-16 fix
    PSet (0, 0), K
    _Blend a& '<<<< new 2019-12-16 fix
    _Dest D
    _MapTriangle _Seamless(0, 0)-(0, 0)-(0, 0), a& To(x1, y1)-(x2, y2)-(x3, y3)
End Sub

Correction (2022-10-16): Though not used here, I forgot to change the color of the first point drawn in Sub for drawing regular polygons, fixed now.
b = b + ...
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RE: Everything in Degrees instead of Radians - by bplus - 10-13-2022, 03:15 PM



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