Saturday 10 November 2018

VBA - SVG - USA Stars and Stripes

A popular post on this blog from a while back was some VBA code to generate an SVG of the British Flag . SVG stands for Scalable Vector Graphics and is a key part of HTML5. Here I give more VBA code to draw the national flag on the United States of America, the stars and stripes. The code for the USA flag here is more compact.

There are two code modules below. I have split the flag specifications into a separate module because I want to go on and give code that will allow the stars and stripes to be drawn onto a VBA form using the Windows GDI API. Also, because of the upcoming GDI implementation I have borrowed some GDI type definitions such as RECT and POINTAPI.

The project requires references to two libraries. Microsoft XML, v6.0 and Microsoft Scripting Runtime. This is because SVG is a type of Xml and best manipulated as an Xml document. The Scripting Runtime is there to create output files.

I won't replicate the Mozilla Developer Network (MDN) documentation on SVG because it is excellent. So only a little explanation. For more information, follow the hypertext links to MDN in the following text.

Code walkthrough

Instructions for adding the modules are given below in the sections marked modUSAFlagSpecification and modUSAFlagSVG.

To run the code, go to procedure modUSAFlagSVG.DrawUSAFlagWithSVG() and press F5

To begin, we write a root svg element to a file as this is the easiest way to get started with the processing instruction and the namespace attribute of the root element. From then on, we load and manipulate the document with standard Xml library.

We set the viewbox attribute, and a single containing graphics element. It is possible to scale using the graphics element or to directly manipulate the co-ordinates. I set the dScalar variable for to scale the flag so that it fits nicely into this web page.

Much of the stars and stripes is based on drawing rectangles. It is easy to translate the rectangle co-ordinates into d attribute path commands.

There is code generate a five pointed star for a given coordinate pair, and we call this this 50 times with unique co-ordinates to give the 50 stars. Original code to generate the stars was found at the Draw a US Flag using C# and GDI+ - The Code Project, there it is written in C#. I add value here by converting to VBA. My thanks to original author Jack J. H. Xu. It is again easy to convert the series of star point co-ordinates into a d attribute path.

modUSAFlagSpecification standard module

So in a new project add a standard module and name it 'modUSAFlagSpecification' then copy in the code below.

Option Explicit

'*
'* Brought to you by the Excel Development Platform Blog
'* http://exceldevelopmentplatform.blogspot.com/2018/11/
'*

'*
'* https://en.wikipedia.org/wiki/Flag_of_the_United_States#Specifications
'*
Private Const mlHeight As Double = 1000#                            '* A
Private Const mlWidth As Double = 1900#                             '* B
Private Const mlHoist As Double = mlHeight * 7 / 13                 '* C
Private Const mlFly As Double = mlWidth * 2 / 5                     '* D
Private Const mlHoistTenth As Double = mlHoist / 10                 '* E,F
Private Const mlFlyTwelth As Double = mlFly / 12                    '* G,H

Private Const mlStripeWidth = mlHeight / 13                         '* L
Private Const mlStarDiameter = mlStripeWidth * 4 / 5                '* K


Public Type RGB
    R As Long
    G As Long
    B As Long
End Type

Public Type RECT
    Left As Long
    Top As Long
    Right As Long
    Bottom As Long
End Type

Public Type POINTAPI
    x As Long
    y As Long
End Type

Public Sub GetOldGloryRed(ByRef pURGB As RGB)
    pURGB.R = &HB2 '* https://en.wikipedia.org/wiki/Flag_of_the_United_States#Colors
    pURGB.G = &H22
    pURGB.B = &H34
End Sub


Public Sub GetOldGloryBlue(ByRef pURGB As RGB)
    pURGB.R = &H3C '* https://en.wikipedia.org/wiki/Flag_of_the_United_States#Colors
    pURGB.G = &H3B
    pURGB.B = &H6E
End Sub


Public Sub GetWhite(ByRef pURGB As RGB)
    pURGB.R = &HFF '* https://en.wikipedia.org/wiki/Flag_of_the_United_States#Colors
    pURGB.G = &HFF
    pURGB.B = &HFF
End Sub

Public Sub FivePointedStar(ByVal dMultiplier As Double, ByVal dRadius As Double, _
                ByVal dXCentre As Double, ByVal dYCentre As Double, _
                ByRef pauPoint() As POINTAPI, ByRef plPointCount As Long)

    ReDim auPoint(0 To 9) As POINTAPI


    Const Pi As Double = 3.14159265358979

    dRadius = dRadius * dMultiplier
    '*
    '* Algorithm by Jack J. H. Xu - https://www.codeproject.com/script/Membership/View.aspx?mid=3946205
    '* Code Project https://www.codeproject.com/Articles/18149/Draw-a-US-Flag-using-C-and-GDI
    '*

    Dim dSin36 As Double, dSin72 As Double, dCos36 As Double, dCos72 As Double
    dSin36 = Sin(36# * Pi / 180#)
    dSin72 = Sin(72# * Pi / 180#)
    dCos36 = Cos(36# * Pi / 180#)
    dCos72 = Cos(72# * Pi / 180#)

    Dim dInnerRadius As Double
    dInnerRadius = dRadius * dCos72 / dCos36

    auPoint(0).x = dXCentre
    auPoint(0).y = dYCentre - dRadius

    auPoint(1).x = dXCentre + dInnerRadius * dSin36
    auPoint(1).y = dYCentre - dInnerRadius * dCos36

    auPoint(2).x = dXCentre + dRadius * dSin72
    auPoint(2).y = dYCentre - dRadius * dCos72

    auPoint(3).x = dXCentre + dInnerRadius * dSin72
    auPoint(3).y = dYCentre + dInnerRadius * dCos72

    auPoint(4).x = dXCentre + dRadius * dSin36
    auPoint(4).y = dYCentre + dRadius * dCos36

    auPoint(5).x = dXCentre
    auPoint(5).y = dYCentre + dInnerRadius

    auPoint(6).x = dXCentre - dRadius * dSin36
    auPoint(6).y = dYCentre + dRadius * dCos36

    auPoint(7).x = dXCentre - dInnerRadius * dSin72
    auPoint(7).y = dYCentre + dInnerRadius * dCos72

    auPoint(8).x = dXCentre - dRadius * dSin72
    auPoint(8).y = dYCentre - dRadius * dCos72

    auPoint(9).x = dXCentre - dInnerRadius * dSin36
    auPoint(9).y = dYCentre - dInnerRadius * dCos36

    pauPoint = auPoint
    plPointCount = 10

End Sub

Public Sub WhiteStars(ByVal dMultiplier As Double, ByRef pauRect() As RECT)
    ReDim auRect(0 To 49) As RECT

    Dim lLoop As Long
    For lLoop = 0 To 49
        Dim lMod As Long
        lMod = lLoop Mod 11  '* Pattern repeats every 11 stars

        Dim lBlock As Long
        lBlock = lLoop \ 11

        If lMod <= 5 Then
            '*
            '* we are in a row of six stars
            '*
            auRect(lLoop).Left = ((lMod * 2) + 1) * mlFlyTwelth * dMultiplier
            auRect(lLoop).Right = auRect(lLoop).Left + (mlStarDiameter * dMultiplier)
            auRect(lLoop).Top = (1 + lBlock * 2) * mlHoistTenth * dMultiplier
            auRect(lLoop).Bottom = auRect(lLoop).Top + (mlStarDiameter * dMultiplier)

        Else
            '*
            '* we are in a row of fives stars
            '*
            Dim lMod2 As Long
            lMod2 = lMod Mod 6

            auRect(lLoop).Left = ((lMod2 + 1) * 2) * mlFlyTwelth * dMultiplier
            auRect(lLoop).Right = auRect(lLoop).Left + (mlStarDiameter * dMultiplier)
            auRect(lLoop).Top = (((1 + lBlock) * 2)) * mlHoistTenth * dMultiplier
            auRect(lLoop).Bottom = auRect(lLoop).Top + (mlStarDiameter * dMultiplier)

        End If

    Next lLoop

    pauRect = auRect
End Sub

Public Sub WhiteStripes(ByVal dMultiplier As Double, ByRef pauRect() As RECT)

    ReDim auRect(0 To 5) As RECT

    Dim lLoop As Long
    For lLoop = 0 To 5

        auRect(lLoop).Left = VBA.IIf(lLoop <= 2, mlFly * dMultiplier, 0)
        auRect(lLoop).Right = mlWidth * dMultiplier
        auRect(lLoop).Top = mlStripeWidth * ((lLoop * 2) + 1) * dMultiplier
        auRect(lLoop).Bottom = auRect(lLoop).Top + (mlStripeWidth * dMultiplier)
    Next lLoop

    pauRect = auRect


End Sub


Public Function RedStripes(ByVal dMultiplier As Double, ByRef pauRect() As RECT)

    ReDim auRect(0 To 6) As RECT

    Dim lLoop As Long
    For lLoop = 0 To 6

        auRect(lLoop).Left = VBA.IIf(lLoop <= 3, mlFly * dMultiplier, 0)
        auRect(lLoop).Right = mlWidth * dMultiplier
        auRect(lLoop).Top = mlStripeWidth * (lLoop * 2) * dMultiplier
        auRect(lLoop).Bottom = auRect(lLoop).Top + (mlStripeWidth * dMultiplier)

    Next lLoop

    pauRect = auRect


End Function



Public Function BlueCanton(ByVal dMultiplier As Double, ByRef pauRect() As RECT)
    ReDim auRect(0 To 0) As RECT

    auRect(0).Left = 0
    auRect(0).Top = 0
    auRect(0).Right = mlFly * dMultiplier
    auRect(0).Bottom = mlHoist * dMultiplier

    pauRect = auRect '* copy over to return

End Function

modUSAFlagSVG standard module

Again, add a standard module, this time name it 'modUSAFlagSVG'. This module will call into module modUSAFlagSpecification so you should add that first. The following module also requires some libraries, Microsoft Scripting Runtime and Microsoft XML, v6.0. You will need to change the output filename.

Option Explicit

'*
'* Brought to you by the Excel Development Platform Blog
'* http://exceldevelopmentplatform.blogspot.com/2018/11/
'*

'* Tools->References: Microsoft Scripting Runtime
'* Tools->References: Microsoft XML, v6.0

'* Requires module modUSAFlagSpecification

Private Sub DrawUSAFlagWithSVG()

    Dim fso As Scripting.FileSystemObject
    Set fso = New Scripting.FileSystemObject

    Dim sSVGPath As String
    sSVGPath = "N:\StarsAndStripes.svg"  '<--- change for you

    Dim txtOut As Scripting.TextStream
    Set txtOut = fso.CreateTextFile(sSVGPath)

    txtOut.WriteLine "<?xml version=""1.0"" encoding=""UTF-8"" standalone=""no""?>"
    txtOut.WriteLine "<svg:svg xmlns:svg=""http://www.w3.org/2000/svg"" />"

    txtOut.Close
    Set txtOut = Nothing

    If fso.FileExists(sSVGPath) Then

        Dim dom As MSXML2.DOMDocument60
        Set dom = New MSXML2.DOMDocument60

        dom.Load sSVGPath

        Debug.Assert dom.parseError = 0


        Dim uRed As RGB
        Call modUSAFlagSpecification.GetOldGloryRed(uRed)

        Dim sRed_Style As String
        sRed_Style = "fill:#" & Hex$(uRed.R) & Hex$(uRed.G) & Hex$(uRed.B) & ";fill-opacity:1"

        Dim uBlue As RGB
        Call modUSAFlagSpecification.GetOldGloryBlue(uBlue)

        Dim sBlue_Style As String
        sBlue_Style = "fill:#" & Hex$(uBlue.R) & Hex$(uBlue.G) & Hex$(uBlue.B) & ";fill-opacity:1"


        dom.setProperty "SelectionNamespaces", "xmlns:svg=""http://www.w3.org/2000/svg"""

        Dim xmlSVG As MSXML2.IXMLDOMElement
        Set xmlSVG = dom.SelectSingleNode("svg:svg")
        Call xmlSVG.setAttribute("viewbox", "0 0 600 300")
        'Call xmlSVG.setAttribute("width", "1200")
        'Call xmlSVG.setAttribute("height", "600")
        'Call xmlSVG.setAttribute("width", "210mm")
        'Call xmlSVG.setAttribute("height", "297mm")
        Call xmlSVG.setAttribute("version", "1.1")


        Dim xmlGTranslate As MSXML2.IXMLDOMElement
        Set xmlGTranslate = dom.createElement("svg:g")
        Call xmlGTranslate.setAttribute("id", "TranslateToCentre")

        Dim dScalar As Double
        dScalar = 0.7


        xmlSVG.appendChild xmlGTranslate
        dom.Save sSVGPath

        Dim auRects() As RECT
        Call modUSAFlagSpecification.BlueCanton(dScalar, auRects)
        DrawRects xmlGTranslate, "BlueCanton", sBlue_Style, auRects

        Call modUSAFlagSpecification.RedStripes(dScalar, auRects)
        DrawRects xmlGTranslate, "RedStripe", sRed_Style, auRects

        Call modUSAFlagSpecification.WhiteStripes(dScalar, auRects)
        DrawRects xmlGTranslate, "WhiteStripe", "fill:#FFFFFF;fill-opacity:1", auRects


        Call modUSAFlagSpecification.WhiteStars(dScalar, auRects)
        DrawStars xmlGTranslate, "WhiteStar", "fill:#FFFFFF;fill-opacity:1", auRects, dScalar

        dom.Save sSVGPath


    End If


End Sub

Private Sub DrawStars(ByVal xmlParentElement As MSXML2.IXMLDOMElement, ByVal sIdPrefix As String, ByVal sStyle As String, _
                                ByRef auRects() As RECT, ByVal dScalar As Double)
    If xmlParentElement Is Nothing Then Err.Raise vbObjectError, , "#Null xmlParentElement!"

    Dim dom As MSXML2.DOMDocument60
    Set dom = xmlParentElement.OwnerDocument

    '*  This line break is purely so I can inspect the output easier
    Dim xmlLineBreak As MSXML2.IXMLDOMText
    Set xmlLineBreak = dom.createTextNode(vbNewLine)

    Dim lStarLoop As Long
    For lStarLoop = LBound(auRects) To UBound(auRects)
        Dim uRect As RECT
        uRect = auRects(lStarLoop)

        Dim xmlStar As MSXML2.IXMLDOMElement
        Set xmlStar = dom.createElement("svg:path")
        Call xmlStar.setAttribute("id", sIdPrefix & lStarLoop)

        Call xmlStar.setAttribute("style", sStyle)


        Dim auPoints() As POINTAPI, lPointCount As Long
        Call modUSAFlagSpecification.FivePointedStar(dScalar, 30, uRect.Left, uRect.Top, auPoints, lPointCount)

        Dim uFirstPoint As POINTAPI, uSubsequentPointLoop As POINTAPI
        uFirstPoint = auPoints(0)


        Dim sPath As String
        sPath = "M " & uFirstPoint.x & "," & uFirstPoint.y


        Dim lPointLoop As Long
        For lPointLoop = 1 To 9
            uSubsequentPointLoop = auPoints(lPointLoop)
            sPath = sPath & " L " & uSubsequentPointLoop.x & "," & uSubsequentPointLoop.y
        Next

        Call xmlStar.setAttribute("d", sPath)

        xmlParentElement.appendChild xmlStar
        xmlParentElement.appendChild xmlLineBreak

    Next lStarLoop


End Sub

Private Sub DrawRects(ByVal xmlParentElement As MSXML2.IXMLDOMElement, ByVal sIdPrefix As String, ByVal sStyle As String, ByRef auRects() As RECT)

    If xmlParentElement Is Nothing Then Err.Raise vbObjectError, , "#Null xmlParentElement!"

    Dim dom As MSXML2.DOMDocument60
    Set dom = xmlParentElement.OwnerDocument

    '*  This line break is purely so I can inspect the output easier
    Dim xmlLineBreak As MSXML2.IXMLDOMText
    Set xmlLineBreak = dom.createTextNode(vbNewLine)


    Dim lLoop As Long
    For lLoop = LBound(auRects) To UBound(auRects)
        Dim uRect As RECT
        uRect = auRects(lLoop)

        Dim xmlRect As MSXML2.IXMLDOMElement
        Set xmlRect = dom.createElement("svg:path")
        Call xmlRect.setAttribute("id", sIdPrefix & lLoop)
        Call xmlRect.setAttribute("style", sStyle)

        Dim sPath As String
        sPath = "M " & uRect.Left & "," & uRect.Top
        sPath = sPath & " H " & uRect.Right
        sPath = sPath & " V " & uRect.Bottom
        sPath = sPath & " H " & uRect.Left
        sPath = sPath & " V " & uRect.Top

        Call xmlRect.setAttribute("d", sPath)

        xmlParentElement.appendChild xmlRect
        xmlParentElement.appendChild xmlLineBreak

    Next lLoop


End Sub

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