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Math Evaluator
#1
I was going to point someone to my math evaluator in a different post, to showcase our math order of operations, and after searching the forums, I couldn't find it.  GASP!!

I guess this little routine was over at the old forums and was just one that I forgot to move over, when things went belly up and burnt down.  My apologies.

Enjoy guys, and feel free to make use of the code within in any of your projects that you might want -- it's a pretty comprehensive math evaluation routine.  Pass it a string full of math stuff, get back the answer to it.   It's really that simple. 

Code: (Select All)
ReDim Shared OName(0) As String 'Operation Name
ReDim Shared PL(0) As Integer 'Priority Level
ReDim Shared PP_TypeMod(27) As String, PP_ConvertedMod(27) As String 'Prepass Name Conversion variables.
PP_TypeMod(1) = "~`": PP_ConvertedMod(1) = "C_UBI" 'unsigned bit
PP_TypeMod(2) = "~%%": PP_ConvertedMod(2) = "C_UBY" 'unsigned byte
PP_TypeMod(3) = "~%&": PP_ConvertedMod(3) = "C_UOF" 'unsigned offset
PP_TypeMod(4) = "~%": PP_ConvertedMod(4) = "C_UIN" 'unsigned integer
PP_TypeMod(5) = "~&&": PP_ConvertedMod(5) = "C_UIF" 'unsigned integer64
PP_TypeMod(6) = "~&": PP_ConvertedMod(6) = "C_ULO" 'unsigned long
PP_TypeMod(7) = "`": PP_ConvertedMod(7) = "C_BI" 'bit
PP_TypeMod(8) = "%%": PP_ConvertedMod(8) = "C_BY" 'byte
PP_TypeMod(9) = "%&": PP_ConvertedMod(9) = "C_OF" 'offset
PP_TypeMod(10) = "%": PP_ConvertedMod(10) = "C_IN" 'integer
PP_TypeMod(11) = "&&": PP_ConvertedMod(11) = "C_IF" 'integer64
PP_TypeMod(12) = "&": PP_ConvertedMod(12) = "C_LO" 'long
PP_TypeMod(13) = "!": PP_ConvertedMod(13) = "C_SI" 'single
PP_TypeMod(14) = "##": PP_ConvertedMod(14) = "C_FL" 'float
PP_TypeMod(15) = "#": PP_ConvertedMod(15) = "C_DO" 'double
PP_TypeMod(16) = "_RGB32": PP_ConvertedMod(16) = "C_RG" 'rgb32
PP_TypeMod(17) = "_RGBA32": PP_ConvertedMod(17) = "C_RA" 'rgba32
PP_TypeMod(18) = "_RED32": PP_ConvertedMod(18) = "C_RX" 'red32
PP_TypeMod(19) = "_GREEN32": PP_ConvertedMod(19) = "C_GR" 'green32
PP_TypeMod(20) = "_BLUE32": PP_ConvertedMod(20) = "C_BL" 'blue32
PP_TypeMod(21) = "_ALPHA32": PP_ConvertedMod(21) = "C_AL" 'alpha32
PP_TypeMod(22) = "RGB32": PP_ConvertedMod(22) = "C_RG" 'rgb32
PP_TypeMod(23) = "RGBA32": PP_ConvertedMod(23) = "C_RA" 'rgba32
PP_TypeMod(24) = "RED32": PP_ConvertedMod(24) = "C_RX" 'red32
PP_TypeMod(25) = "GREEN32": PP_ConvertedMod(25) = "C_GR" 'green32
PP_TypeMod(26) = "BLUE32": PP_ConvertedMod(26) = "C_BL" 'blue32
PP_TypeMod(27) = "ALPHA32": PP_ConvertedMod(27) = "C_AL" 'alpha32




Set_OrderOfOperations 'This will also make certain our directories are valid, and if not make them.

Do
    Input math$
    Print Evaluate_Expression(math$)
Loop


'Steve Subs/Functins for _MATH support with CONST
Function Evaluate_Expression$ (e$)
    t$ = e$ 'So we preserve our original data, we parse a temp copy of it
    PreParse t$


    If Left$(t$, 5) = "ERROR" Then Evaluate_Expression$ = t$: Exit Function

    'Deal with brackets first
    exp$ = "(" + t$ + ")" 'Starting and finishing brackets for our parse routine.

    Do
        Eval_E = InStr(exp$, ")")
        If Eval_E > 0 Then
            c = 0
            Do Until Eval_E - c <= 0
                c = c + 1
                If Eval_E Then
                    If Mid$(exp$, Eval_E - c, 1) = "(" Then Exit Do
                End If
            Loop
            s = Eval_E - c + 1
            If s < 1 Then Evaluate_Expression$ = "ERROR -- BAD () Count": Exit Function
            eval$ = " " + Mid$(exp$, s, Eval_E - s) + " " 'pad with a space before and after so the parser can pick up the values properly.

            ParseExpression eval$
            eval$ = LTrim$(RTrim$(eval$))
            If Left$(eval$, 5) = "ERROR" Then Evaluate_Expression$ = eval$: Exit Function
            exp$ = DWD(Left$(exp$, s - 2) + eval$ + Mid$(exp$, Eval_E + 1))
            If Mid$(exp$, 1, 1) = "N" Then Mid$(exp$, 1) = "-"
        End If
    Loop Until Eval_E = 0
    c = 0
    Do
        c = c + 1
        Select Case Mid$(exp$, c, 1)
            Case "0" To "9", ".", "-" 'At this point, we should only have number values left.
            Case Else: Evaluate_Expression$ = "ERROR - Unknown Diagnosis: (" + exp$ + ") ": Exit Function
        End Select
    Loop Until c >= Len(exp$)

    Evaluate_Expression$ = exp$
End Function



Sub ParseExpression (exp$)
    Dim num(10) As String
    'PRINT exp$
    exp$ = DWD(exp$)
    'We should now have an expression with no () to deal with

    For J = 1 To 250
        lowest = 0
        Do Until lowest = Len(exp$)
            lowest = Len(exp$): OpOn = 0
            For P = 1 To UBound(OName)
                'Look for first valid operator
                If J = PL(P) Then 'Priority levels match
                    If Left$(exp$, 1) = "-" Then startAt = 2 Else startAt = 1
                    op = InStr(startAt, exp$, OName(P))
                    If op = 0 And Left$(OName(P), 1) = "_" And qb64prefix_set = 1 Then
                        'try again without prefix
                        op = InStr(startAt, exp$, Mid$(OName(P), 2))
                        If op > 0 Then
                            exp$ = Left$(exp$, op - 1) + "_" + Mid$(exp$, op)
                            lowest = lowest + 1
                        End If
                    End If
                    If op > 0 And op < lowest Then lowest = op: OpOn = P
                End If
            Next
            If OpOn = 0 Then Exit Do 'We haven't gotten to the proper PL for this OP to be processed yet.
            If Left$(exp$, 1) = "-" Then startAt = 2 Else startAt = 1
            op = InStr(startAt, exp$, OName(OpOn))

            numset = 0

            '*** SPECIAL OPERATION RULESETS
            If OName(OpOn) = "-" Then 'check for BOOLEAN operators before the -
                Select Case Mid$(exp$, op - 3, 3)
                    Case "NOT", "XOR", "AND", "EQV", "IMP"
                        Exit Do 'Not an operator, it's a negative
                End Select
                If Mid$(exp$, op - 3, 2) = "OR" Then Exit Do 'Not an operator, it's a negative
            End If

            If op Then
                c = Len(OName(OpOn)) - 1
                Do
                    Select Case Mid$(exp$, op + c + 1, 1)
                        Case "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", ".", "N": numset = -1 'Valid digit
                        Case "-" 'We need to check if it's a minus or a negative
                            If OName(OpOn) = "_PI" Or numset Then Exit Do
                        Case ",": numset = 0
                        Case Else 'Not a valid digit, we found our separator
                            Exit Do
                    End Select
                    c = c + 1
                Loop Until op + c >= Len(exp$)
                E = op + c

                c = 0
                Do
                    c = c + 1
                    Select Case Mid$(exp$, op - c, 1)
                        Case "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", ".", "N" 'Valid digit
                        Case "-" 'We need to check if it's a minus or a negative
                            c1 = c
                            bad = 0
                            Do
                                c1 = c1 + 1
                                Select Case Mid$(exp$, op - c1, 1)
                                    Case "0", "1", "2", "3", "4", "5", "6", "7", "8", "9", "."
                                        bad = -1
                                        Exit Do 'It's a minus sign
                                    Case Else
                                        'It's a negative sign and needs to count as part of our numbers
                                End Select
                            Loop Until op - c1 <= 0
                            If bad Then Exit Do 'We found our seperator
                        Case Else 'Not a valid digit, we found our separator
                            Exit Do
                    End Select
                Loop Until op - c <= 0
                s = op - c
                num(1) = Mid$(exp$, s + 1, op - s - 1) 'Get our first number
                num(2) = Mid$(exp$, op + Len(OName(OpOn)), E - op - Len(OName(OpOn)) + 1) 'Get our second number
                If Mid$(num(1), 1, 1) = "N" Then Mid$(num(1), 1) = "-"
                If Mid$(num(2), 1, 1) = "N" Then Mid$(num(2), 1) = "-"
                If num(1) = "-" Then
                    num(3) = "N" + EvaluateNumbers(OpOn, num())
                Else
                    num(3) = EvaluateNumbers(OpOn, num())
                End If
                If Mid$(num(3), 1, 1) = "-" Then Mid$(num(3), 1) = "N"
                If Left$(num(3), 5) = "ERROR" Then exp$ = num(3): Exit Sub
                exp$ = LTrim$(N2S(DWD(Left$(exp$, s) + RTrim$(LTrim$(num(3))) + Mid$(exp$, E + 1))))
            End If
            op = 0
        Loop
    Next

End Sub



Sub Set_OrderOfOperations
    'PL sets our priortity level. 1 is highest to 65535 for the lowest.
    'I used a range here so I could add in new priority levels as needed.
    'OName ended up becoming the name of our commands, as I modified things.... Go figure!  LOL!
    ReDim OName(10000) As String, PL(10000) As Integer
    'Constants get evaluated first, with a Priority Level of 1

    i = i + 1: OName(i) = "C_UOF": PL(i) = 5 'convert to unsigned offset
    i = i + 1: OName(i) = "C_OF": PL(i) = 5 'convert to offset
    i = i + 1: OName(i) = "C_UBY": PL(i) = 5 'convert to unsigned byte
    i = i + 1: OName(i) = "C_BY": PL(i) = 5 'convert to byte
    i = i + 1: OName(i) = "C_UIN": PL(i) = 5 'convert to unsigned integer
    i = i + 1: OName(i) = "C_IN": PL(i) = 5 'convert to integer
    i = i + 1: OName(i) = "C_UIF": PL(i) = 5 'convert to unsigned int64
    i = i + 1: OName(i) = "C_IF": PL(i) = 5 'convert to int64
    i = i + 1: OName(i) = "C_ULO": PL(i) = 5 'convert to unsigned long
    i = i + 1: OName(i) = "C_LO": PL(i) = 5 'convert to long
    i = i + 1: OName(i) = "C_SI": PL(i) = 5 'convert to single
    i = i + 1: OName(i) = "C_FL": PL(i) = 5 'convert to float
    i = i + 1: OName(i) = "C_DO": PL(i) = 5 'convert to double
    i = i + 1: OName(i) = "C_UBI": PL(i) = 5 'convert to unsigned bit
    i = i + 1: OName(i) = "C_BI": PL(i) = 5 'convert to bit

    'Then Functions with PL 10
    i = i + 1:: OName(i) = "_PI": PL(i) = 10
    i = i + 1: OName(i) = "_ACOS": PL(i) = 10
    i = i + 1: OName(i) = "_ASIN": PL(i) = 10
    i = i + 1: OName(i) = "_ARCSEC": PL(i) = 10
    i = i + 1: OName(i) = "_ARCCSC": PL(i) = 10
    i = i + 1: OName(i) = "_ARCCOT": PL(i) = 10
    i = i + 1: OName(i) = "_SECH": PL(i) = 10
    i = i + 1: OName(i) = "_CSCH": PL(i) = 10
    i = i + 1: OName(i) = "_COTH": PL(i) = 10
    i = i + 1: OName(i) = "COS": PL(i) = 10
    i = i + 1: OName(i) = "SIN": PL(i) = 10
    i = i + 1: OName(i) = "TAN": PL(i) = 10
    i = i + 1: OName(i) = "LOG": PL(i) = 10
    i = i + 1: OName(i) = "EXP": PL(i) = 10
    i = i + 1: OName(i) = "ATN": PL(i) = 10
    i = i + 1: OName(i) = "_D2R": PL(i) = 10
    i = i + 1: OName(i) = "_D2G": PL(i) = 10
    i = i + 1: OName(i) = "_R2D": PL(i) = 10
    i = i + 1: OName(i) = "_R2G": PL(i) = 10
    i = i + 1: OName(i) = "_G2D": PL(i) = 10
    i = i + 1: OName(i) = "_G2R": PL(i) = 10
    i = i + 1: OName(i) = "ABS": PL(i) = 10
    i = i + 1: OName(i) = "SGN": PL(i) = 10
    i = i + 1: OName(i) = "INT": PL(i) = 10
    i = i + 1: OName(i) = "_ROUND": PL(i) = 10
    i = i + 1: OName(i) = "_CEIL": PL(i) = 10
    i = i + 1: OName(i) = "FIX": PL(i) = 10
    i = i + 1: OName(i) = "_SEC": PL(i) = 10
    i = i + 1: OName(i) = "_CSC": PL(i) = 10
    i = i + 1: OName(i) = "_COT": PL(i) = 10
    i = i + 1: OName(i) = "ASC": PL(i) = 10
    i = i + 1: OName(i) = "C_RG": PL(i) = 10 '_RGB32 converted
    i = i + 1: OName(i) = "C_RA": PL(i) = 10 '_RGBA32 converted
    i = i + 1: OName(i) = "_RGBA": PL(i) = 10
    i = i + 1: OName(i) = "_RGB": PL(i) = 10
    i = i + 1: OName(i) = "C_RX": PL(i) = 10 '_RED32 converted
    i = i + 1: OName(i) = "C_GR": PL(i) = 10 ' _GREEN32 converted
    i = i + 1: OName(i) = "C_BL": PL(i) = 10 '_BLUE32 converted
    i = i + 1: OName(i) = "C_AL": PL(i) = 10 '_ALPHA32 converted
    i = i + 1: OName(i) = "_RED": PL(i) = 10
    i = i + 1: OName(i) = "_GREEN": PL(i) = 10
    i = i + 1: OName(i) = "_BLUE": PL(i) = 10
    i = i + 1: OName(i) = "_ALPHA": PL(i) = 10

    'Exponents with PL 20
    i = i + 1: OName(i) = "^": PL(i) = 20
    i = i + 1: OName(i) = "SQR": PL(i) = 20
    i = i + 1: OName(i) = "ROOT": PL(i) = 20
    'Multiplication and Division PL 30
    i = i + 1: OName(i) = "*": PL(i) = 30
    i = i + 1: OName(i) = "/": PL(i) = 30
    'Integer Division PL 40
    i = i + 1: OName(i) = "\": PL(i) = 40
    'MOD PL 50
    i = i + 1: OName(i) = "MOD": PL(i) = 50
    'Addition and Subtraction PL 60
    i = i + 1: OName(i) = "+": PL(i) = 60
    i = i + 1: OName(i) = "-": PL(i) = 60

    'Relational Operators =, >, <, <>, <=, >=  PL 70
    i = i + 1: OName(i) = "<>": PL(i) = 70 'These next three are just reversed symbols as an attempt to help process a common typo
    i = i + 1: OName(i) = "><": PL(i) = 70
    i = i + 1: OName(i) = "<=": PL(i) = 70
    i = i + 1: OName(i) = ">=": PL(i) = 70
    i = i + 1: OName(i) = "=<": PL(i) = 70 'I personally can never keep these things straight.  Is it < = or = <...
    i = i + 1: OName(i) = "=>": PL(i) = 70 'Who knows, check both!
    i = i + 1: OName(i) = ">": PL(i) = 70
    i = i + 1: OName(i) = "<": PL(i) = 70
    i = i + 1: OName(i) = "=": PL(i) = 70
    'Logical Operations PL 80+
    i = i + 1: OName(i) = "NOT": PL(i) = 80
    i = i + 1: OName(i) = "AND": PL(i) = 90
    i = i + 1: OName(i) = "OR": PL(i) = 100
    i = i + 1: OName(i) = "XOR": PL(i) = 110
    i = i + 1: OName(i) = "EQV": PL(i) = 120
    i = i + 1: OName(i) = "IMP": PL(i) = 130
    i = i + 1: OName(i) = ",": PL(i) = 1000

    ReDim _Preserve OName(i) As String, PL(i) As Integer
End Sub

Function EvaluateNumbers$ (p, num() As String)
    Dim n1 As _Float, n2 As _Float, n3 As _Float
    'PRINT "EVALNUM:"; OName(p), num(1), num(2)

    If _Trim$(num(1)) = "" Then num(1) = "0"

    If PL(p) >= 20 And (Len(_Trim$(num(1))) = 0 Or Len(_Trim$(num(2))) = 0) Then
        EvaluateNumbers$ = "ERROR - Missing operand": Exit Function
    End If

    If InStr(num(1), ",") Then
        EvaluateNumbers$ = "ERROR - Invalid comma (" + num(1) + ")": Exit Function
    End If
    l2 = InStr(num(2), ",")
    If l2 Then
        Select Case OName(p) 'only certain commands should pass a comma value
            Case "C_RG", "C_RA", "_RGB", "_RGBA", "_RED", "_GREEN", "_BLUE", "C_BL", "_ALPHA"
            Case Else
                C$ = Mid$(num(2), l2)
                num(2) = Left$(num(2), l2 - 1)
        End Select
    End If

    Select Case PL(p) 'divide up the work so we want do as much case checking
        Case 5 'Type conversions
            'Note, these are special cases and work with the number BEFORE the command and not after
            Select Case OName(p) 'Depending on our operator..
                Case "C_UOF": n1~%& = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1~%&)))
                Case "C_ULO": n1%& = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1%&)))
                Case "C_UBY": n1~%% = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1~%%)))
                Case "C_UIN": n1~% = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1~%)))
                Case "C_BY": n1%% = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1%%)))
                Case "C_IN": n1% = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1%)))
                Case "C_UIF": n1~&& = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1~&&)))
                Case "C_OF": n1~& = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1~&)))
                Case "C_IF": n1&& = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1&&)))
                Case "C_LO": n1& = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1&)))
                Case "C_UBI": n1~` = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1~`)))
                Case "C_BI": n1` = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1`)))
                Case "C_FL": n1## = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1##)))
                Case "C_DO": n1# = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1#)))
                Case "C_SI": n1! = Val(num(1)): EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1!)))
            End Select
            Exit Function
        Case 10 'functions
            Select Case OName(p) 'Depending on our operator..
                Case "_PI"
                    n1 = 3.14159265358979323846264338327950288## 'Future compatable in case something ever stores extra digits for PI
                    If num(2) <> "" Then n1 = n1 * Val(num(2))
                Case "_ACOS": n1 = _Acos(Val(num(2)))
                Case "_ASIN": n1 = _Asin(Val(num(2)))
                Case "_ARCSEC": n1 = _Arcsec(Val(num(2)))
                Case "_ARCCSC": n1 = _Arccsc(Val(num(2)))
                Case "_ARCCOT": n1 = _Arccot(Val(num(2)))
                Case "_SECH": n1 = _Sech(Val(num(2)))
                Case "_CSCH": n1 = _Csch(Val(num(2)))
                Case "_COTH": n1 = _Coth(Val(num(2)))
                Case "C_RG"
                    n$ = num(2)
                    If n$ = "" Then EvaluateNumbers$ = "ERROR - Invalid null _RGB32": Exit Function
                    c1 = InStr(n$, ",")
                    If c1 Then c2 = InStr(c1 + 1, n$, ",")
                    If c2 Then c3 = InStr(c2 + 1, n$, ",")
                    If c3 Then c4 = InStr(c3 + 1, n$, ",")
                    If c1 = 0 Then 'there's no comma in the command to parse.  It's a grayscale value
                        n = Val(num(2))
                        n1 = _RGB32(n, n, n)
                    ElseIf c2 = 0 Then 'there's one comma and not 2.  It's grayscale with alpha.
                        n = Val(Left$(num(2), c1))
                        n2 = Val(Mid$(num(2), c1 + 1))
                        n1 = _RGBA32(n, n, n, n2)
                    ElseIf c3 = 0 Then 'there's two commas.  It's _RGB values
                        n = Val(Left$(num(2), c1))
                        n2 = Val(Mid$(num(2), c1 + 1))
                        n3 = Val(Mid$(num(2), c2 + 1))
                        n1 = _RGB32(n, n2, n3)
                    ElseIf c4 = 0 Then 'there's three commas.  It's _RGBA values
                        n = Val(Left$(num(2), c1))
                        n2 = Val(Mid$(num(2), c1 + 1))
                        n3 = Val(Mid$(num(2), c2 + 1))
                        n4 = Val(Mid$(num(2), c3 + 1))
                        n1 = _RGBA32(n, n2, n3, n4)
                    Else 'we have more than three commas.  I have no idea WTH type of values got passed here!
                        EvaluateNumbers$ = "ERROR - Invalid comma count (" + num(2) + ")": Exit Function
                    End If
                Case "C_RA"
                    n$ = num(2)
                    If n$ = "" Then EvaluateNumbers$ = "ERROR - Invalid null _RGBA32": Exit Function
                    c1 = InStr(n$, ",")
                    If c1 Then c2 = InStr(c1 + 1, n$, ",")
                    If c2 Then c3 = InStr(c2 + 1, n$, ",")
                    If c3 Then c4 = InStr(c3 + 1, n$, ",")
                    If c3 = 0 Or c4 <> 0 Then EvaluateNumbers$ = "ERROR - Invalid comma count (" + num(2) + ")": Exit Function
                    'we have to have 3 commas; not more, not less.
                    n = Val(Left$(num(2), c1))
                    n2 = Val(Mid$(num(2), c1 + 1))
                    n3 = Val(Mid$(num(2), c2 + 1))
                    n4 = Val(Mid$(num(2), c3 + 1))
                    n1 = _RGBA32(n, n2, n3, n4)
                Case "_RGB"
                    n$ = num(2)
                    If n$ = "" Then EvaluateNumbers$ = "ERROR - Invalid null _RGB": Exit Function
                    c1 = InStr(n$, ",")
                    If c1 Then c2 = InStr(c1 + 1, n$, ",")
                    If c2 Then c3 = InStr(c2 + 1, n$, ",")
                    If c3 Then c4 = InStr(c3 + 1, n$, ",")
                    If c3 = 0 Or c4 <> 0 Then EvaluateNumbers$ = "ERROR - Invalid comma count (" + num(2) + "). _RGB requires 4 parameters for Red, Green, Blue, ScreenMode.": Exit Function
                    'we have to have 3 commas; not more, not less.
                    n = Val(Left$(num(2), c1))
                    n2 = Val(Mid$(num(2), c1 + 1))
                    n3 = Val(Mid$(num(2), c2 + 1))
                    n4 = Val(Mid$(num(2), c3 + 1))
                    Select Case n4
                        Case 0 To 2, 7 To 13, 256, 32 'these are the good screen values
                        Case Else
                            EvaluateNumbers$ = "ERROR - Invalid Screen Mode (" + Str$(n4) + ")": Exit Function
                    End Select
                    t = _NewImage(1, 1, n4)
                    n1 = _RGB(n, n2, n3, t)
                    _FreeImage t
                Case "_RGBA"
                    n$ = num(2)
                    If n$ = "" Then EvaluateNumbers$ = "ERROR - Invalid null _RGBA": Exit Function
                    c1 = InStr(n$, ",")
                    If c1 Then c2 = InStr(c1 + 1, n$, ",")
                    If c2 Then c3 = InStr(c2 + 1, n$, ",")
                    If c3 Then c4 = InStr(c3 + 1, n$, ",")
                    If c4 Then c5 = InStr(c4 + 1, n$, ",")
                    If c4 = 0 Or c5 <> 0 Then EvaluateNumbers$ = "ERROR - Invalid comma count (" + num(2) + "). _RGBA requires 5 parameters for Red, Green, Blue, Alpha, ScreenMode.": Exit Function
                    'we have to have 4 commas; not more, not less.
                    n = Val(Left$(num(2), c1))
                    n2 = Val(Mid$(num(2), c1 + 1))
                    n3 = Val(Mid$(num(2), c2 + 1))
                    n4 = Val(Mid$(num(2), c3 + 1))
                    n5 = Val(Mid$(num(2), c4 + 1))
                    Select Case n5
                        Case 0 To 2, 7 To 13, 256, 32 'these are the good screen values
                        Case Else
                            EvaluateNumbers$ = "ERROR - Invalid Screen Mode (" + Str$(n5) + ")": Exit Function
                    End Select
                    t = _NewImage(1, 1, n5)
                    n1 = _RGBA(n, n2, n3, n4, t)
                    _FreeImage t
                Case "_RED", "_GREEN", "_BLUE", "_ALPHA"
                    n$ = num(2)
                    If n$ = "" Then EvaluateNumbers$ = "ERROR - Invalid null " + OName(p): Exit Function
                    c1 = InStr(n$, ",")
                    If c1 = 0 Then EvaluateNumbers$ = "ERROR - " + OName(p) + " requires 2 parameters for Color, ScreenMode.": Exit Function
                    If c1 Then c2 = InStr(c1 + 1, n$, ",")
                    If c2 Then EvaluateNumbers$ = "ERROR - " + OName(p) + " requires 2 parameters for Color, ScreenMode.": Exit Function
                    n = Val(Left$(num(2), c1))
                    n2 = Val(Mid$(num(2), c1 + 1))
                    Select Case n2
                        Case 0 To 2, 7 To 13, 256, 32 'these are the good screen values
                        Case Else
                            EvaluateNumbers$ = "ERROR - Invalid Screen Mode (" + Str$(n2) + ")": Exit Function
                    End Select
                    t = _NewImage(1, 1, n4)
                    Select Case OName(p)
                        Case "_RED": n1 = _Red(n, t)
                        Case "_BLUE": n1 = _Blue(n, t)
                        Case "_GREEN": n1 = _Green(n, t)
                        Case "_ALPHA": n1 = _Alpha(n, t)
                    End Select
                    _FreeImage t
                Case "C_RX", "C_GR", "C_BL", "C_AL"
                    n$ = num(2)
                    If n$ = "" Then EvaluateNumbers$ = "ERROR - Invalid null " + OName(p): Exit Function
                    n = Val(num(2))
                    Select Case OName(p)
                        Case "C_RX": n1 = _Red32(n)
                        Case "C_BL": n1 = _Blue32(n)
                        Case "C_GR": n1 = _Green32(n)
                        Case "C_AL": n1 = _Alpha32(n)
                    End Select
                Case "COS": n1 = Cos(Val(num(2)))
                Case "SIN": n1 = Sin(Val(num(2)))
                Case "TAN": n1 = Tan(Val(num(2)))
                Case "LOG": n1 = Log(Val(num(2)))
                Case "EXP": n1 = Exp(Val(num(2)))
                Case "ATN": n1 = Atn(Val(num(2)))
                Case "_D2R": n1 = 0.0174532925 * (Val(num(2)))
                Case "_D2G": n1 = 1.1111111111 * (Val(num(2)))
                Case "_R2D": n1 = 57.2957795 * (Val(num(2)))
                Case "_R2G": n1 = 0.015707963 * (Val(num(2)))
                Case "_G2D": n1 = 0.9 * (Val(num(2)))
                Case "_G2R": n1 = 63.661977237 * (Val(num(2)))
                Case "ABS": n1 = Abs(Val(num(2)))
                Case "SGN": n1 = Sgn(Val(num(2)))
                Case "INT": n1 = Int(Val(num(2)))
                Case "_ROUND": n1 = _Round(Val(num(2)))
                Case "_CEIL": n1 = _Ceil(Val(num(2)))
                Case "FIX": n1 = Fix(Val(num(2)))
                Case "_SEC": n1 = _Sec(Val(num(2)))
                Case "_CSC": n1 = _Csc(Val(num(2)))
                Case "_COT": n1 = _Cot(Val(num(2)))
            End Select
        Case 20 To 60 'Math Operators
            Select Case OName(p) 'Depending on our operator..
                Case "^": n1 = Val(num(1)) ^ Val(num(2))
                Case "SQR": n1 = Sqr(Val(num(2)))
                Case "ROOT"
                    n1 = Val(num(1)): n2 = Val(num(2))
                    If n2 = 1 Then EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1))): Exit Function
                    If n1 < 0 And n2 >= 1 Then sign = -1: n1 = -n1 Else sign = 1
                    n3 = 1## / n2
                    If n3 <> Int(n3) And n2 < 1 Then sign = Sgn(n1): n1 = Abs(n1)
                    n1 = sign * (n1 ^ n3)
                Case "*": n1 = Val(num(1)) * Val(num(2))
                Case "/"
                    If Val(num(2)) <> 0 Then
                        n1 = Val(num(1)) / Val(num(2))
                    Else
                        EvaluateNumbers$ = "ERROR - Division By Zero"
                        Exit Function
                    End If
                Case "\"
                    If _Round(Val(num(2))) = 0 Then
                        EvaluateNumbers$ = "ERROR - Division By Zero"
                        Exit Function
                    End If
                    n1 = Val(num(1)) \ _Round(Val(num(2)))
                Case "MOD"
                    If _Round(Val(num(2))) = 0 Then
                        EvaluateNumbers$ = "ERROR - Division By Zero"
                        Exit Function
                    End If
                    n1 = Val(num(1)) Mod _Round(Val(num(2)))
                Case "+": n1 = Val(num(1)) + Val(num(2))
                Case "-":
                    n1 = Val(num(1)) - Val(num(2))
            End Select
        Case 70 'Relational Operators =, >, <, <>, <=, >=
            Select Case OName(p) 'Depending on our operator..
                Case "=": n1 = Val(num(1)) = Val(num(2))
                Case ">": n1 = Val(num(1)) > Val(num(2))
                Case "<": n1 = Val(num(1)) < Val(num(2))
                Case "<>", "><": n1 = Val(num(1)) <> Val(num(2))
                Case "<=", "=<": n1 = Val(num(1)) <= Val(num(2))
                Case ">=", "=>": n1 = Val(num(1)) >= Val(num(2))
            End Select
        Case Else 'a value we haven't processed elsewhere
            Select Case OName(p) 'Depending on our operator..
                Case "NOT": n1 = Not Val(num(2))
                Case "AND": n1 = Val(num(1)) And Val(num(2))
                Case "OR": n1 = Val(num(1)) Or Val(num(2))
                Case "XOR": n1 = Val(num(1)) Xor Val(num(2))
                Case "EQV": n1 = Val(num(1)) Eqv Val(num(2))
                Case "IMP": n1 = Val(num(1)) Imp Val(num(2))
            End Select
    End Select

    EvaluateNumbers$ = RTrim$(LTrim$(Str$(n1))) + C$
End Function

Function DWD$ (exp$) 'Deal With Duplicates
    'To deal with duplicate operators in our code.
    'Such as --  becomes a +
    '++ becomes a +
    '+- becomes a -
    '-+ becomes a -
    t$ = exp$
    Do
        bad = 0
        Do
            l = InStr(t$, "++")
            If l Then t$ = Left$(t$, l - 1) + "+" + Mid$(t$, l + 2): bad = -1
        Loop Until l = 0
        Do
            l = InStr(t$, "+-")
            If l Then t$ = Left$(t$, l - 1) + "-" + Mid$(t$, l + 2): bad = -1
        Loop Until l = 0
        Do
            l = InStr(t$, "-+")
            If l Then t$ = Left$(t$, l - 1) + "-" + Mid$(t$, l + 2): bad = -1
        Loop Until l = 0
        Do
            l = InStr(t$, "--")
            If l Then t$ = Left$(t$, l - 1) + "+" + Mid$(t$, l + 2): bad = -1
        Loop Until l = 0
    Loop Until Not bad
    DWD$ = t$
End Function

Sub PreParse (e$)
    Dim f As _Float
    Do 'convert &H values to decimal values to prevent errors
        l = InStr(l, UCase$(e$), "&H")
        If l Then
            For l1 = l + 2 To Len(e$)
                Select Case UCase$(Mid$(e$, l1, 1))
                    Case "0" To "9"
                    Case "A" To "F"
                    Case Else:
                        Print UCase$(Mid$(e$, l1, 1))
                        Exit For
                End Select
            Next
            If l1 <> l + 2 Then 'hex number found
                If l1 > l + 18 Then Exit Do
                l$ = Left$(e$, l - 1)
                r$ = Mid$(e$, l1)
                t~&& = Val(Mid$(e$, l, l1 - l) + "~&&")
                m$ = _Trim$(Str$(t~&&))
                e$ = l$ + m$ + r$
            Else
                Exit Do
            End If
        End If
    Loop Until l = 0

    'Turn all &B (binary) numbers into decimal values for the program to process properly
    l = 0
    Do
        l = InStr(t$, "&B")
        If l Then
            e = l + 1: finished = 0
            Do
                e = e + 1
                comp$ = Mid$(t$, e, 1)
                Select Case comp$
                    Case "0", "1" 'All is good, our next digit is a number, continue to add to the hex$
                    Case Else
                        good = 0
                        For i = 1 To UBound(OName)
                            If Mid$(t$, e, Len(OName(i))) = OName(i) And PL(i) > 1 And PL(i) <= 250 Then good = -1: Exit For 'We found an operator after our ), and it's not a CONST (like PI)
                        Next
                        If Not good Then e$ = "ERROR - Improper &B value. (" + comp$ + ")": Exit Sub
                        e = e - 1
                        finished = -1
                End Select
            Loop Until finished Or e = Len(t$)
            bin$ = Mid$(t$, l + 2, e - l - 1)
            For i = 1 To Len(bin$)
                If Mid$(bin$, i, 1) = "1" Then f = f + 2 ^ (Len(bin$) - i)
            Next
            t$ = Left$(t$, l - 1) + LTrim$(RTrim$(Str$(f))) + Mid$(t$, e + 1)
        End If
    Loop Until l = 0



    'First strip all spaces
    t$ = ""

    For i = 1 To Len(e$)
        If Mid$(e$, i, 1) <> " " Then t$ = t$ + Mid$(e$, i, 1)
    Next

    t$ = UCase$(t$)



    If t$ = "" Then e$ = "ERROR -- NULL string; nothing to evaluate": Exit Sub

    'ERROR CHECK by counting our brackets
    l = 0
    Do
        l = InStr(l + 1, t$, "("): If l Then c = c + 1
    Loop Until l = 0
    l = 0
    Do
        l = InStr(l + 1, t$, ")"): If l Then c1 = c1 + 1
    Loop Until l = 0
    If c <> c1 Then e$ = "ERROR -- Bad Parenthesis:" + Str$(c) + "( vs" + Str$(c1) + ")": Exit Sub

    'Modify so that NOT will process properly
    l = 0
    Do
        l = InStr(l + 1, t$, "NOT ")
        If l Then
            'We need to work magic on the statement so it looks pretty.
            ' 1 + NOT 2 + 1 is actually processed as 1 + (NOT 2 + 1)
            'Look for something not proper
            l1 = InStr(l + 1, t$, "AND")
            If l1 = 0 Or (InStr(l + 1, t$, "OR") > 0 And InStr(l + 1, t$, "OR") < l1) Then l1 = InStr(l + 1, t$, "OR")
            If l1 = 0 Or (InStr(l + 1, t$, "XOR") > 0 And InStr(l + 1, t$, "XOR") < l1) Then l1 = InStr(l + 1, t$, "XOR")
            If l1 = 0 Or (InStr(l + 1, t$, "EQV") > 0 And InStr(l + 1, t$, "EQV") < l1) Then l1 = InStr(l + 1, t$, "EQV")
            If l1 = 0 Or (InStr(l + 1, t$, "IMP") > 0 And InStr(l + 1, t$, "IMP") < l1) Then l1 = InStr(l + 1, t$, "IMP")
            If l1 = 0 Then l1 = Len(t$) + 1
            t$ = Left$(t$, l - 1) + "(" + Mid$(t$, l, l1 - l) + ")" + Mid$(t$, l + l1 - l)
            l = l + 3
            'PRINT t$
        End If
    Loop Until l = 0

    For j = 1 To UBound(PP_TypeMod)

        l = 0
        Do
            l = InStr(l + 1, t$, PP_TypeMod(j))
            If l = 0 Then Exit Do
            i = 0: l1 = 0: l2 = 0: lo = Len(PP_TypeMod(j))
            Do
                If PL(i) > 10 Then
                    l2 = _InStrRev(l, t$, OName$(i))
                    If l2 > 0 And l2 > l1 Then l1 = l2
                End If
                i = i + lo
            Loop Until i > UBound(PL)
            l$ = Left$(t$, l1)
            m$ = Mid$(t$, l1 + 1, l - l1 - 1)
            r$ = PP_ConvertedMod(j) + Mid$(t$, l + lo)
            If j > 15 Then
                t$ = l$ + m$ + r$ 'replacement routine for commands which might get confused with others, like _RGB and _RGB32
            Else
                'the first 15 commands need to properly place the parenthesis around the value we want to convert.
                t$ = l$ + "(" + m$ + ")" + r$
            End If
            l = l + 2 + Len(PP_TypeMod(j)) 'move forward from the length of the symbol we checked + the new "(" and  ")"
        Loop
    Next

    'Check for bad operators before a ( bracket
    l = 0
    Do
        l = InStr(l + 1, t$, "(")
        If l > 0 And l > 2 Then 'Don't check the starting bracket; there's nothing before it.
            good = 0
            For i = 1 To UBound(OName)
                m$ = Mid$(t$, l - Len(OName(i)), Len(OName(i)))
                If m$ = OName(i) Then
                    good = -1: Exit For 'We found an operator after our ), and it's not a CONST (like PI)
                Else
                    If Left$(OName(i), 1) = "_" And qb64prefix_set = 1 Then
                        'try without prefix
                        m$ = Mid$(t$, l - (Len(OName(i)) - 1), Len(OName(i)) - 1)
                        If m$ = Mid$(OName(i), 2) Then good = -1: Exit For
                    End If
                End If
            Next
            If Not good Then e$ = "ERROR - Improper operations before (.": Exit Sub
            l = l + 1
        End If
    Loop Until l = 0

    'Check for bad operators after a ) bracket
    l = 0
    Do
        l = InStr(l + 1, t$, ")")
        If l > 0 And l < Len(t$) Then
            good = 0
            For i = 1 To UBound(OName)
                m$ = Mid$(t$, l + 1, Len(OName(i)))
                If m$ = OName(i) Then
                    good = -1: Exit For 'We found an operator after our ), and it's not a CONST (like PI
                Else
                    If Left$(OName(i), 1) = "_" And qb64prefix_set = 1 Then
                        'try without prefix
                        m$ = Mid$(t$, l + 1, Len(OName(i)) - 1)
                        If m$ = Mid$(OName(i), 2) Then good = -1: Exit For
                    End If
                End If
            Next
            If Mid$(t$, l + 1, 1) = ")" Then good = -1
            If Not good Then e$ = "ERROR - Improper operations after ).": Exit Sub
            l = l + 1
        End If
    Loop Until l = 0 Or l = Len(t$) 'last symbol is a bracket

    't$ = N2S(t$)
    VerifyString t$
    e$ = t$


End Sub



Sub VerifyString (t$)
    'ERROR CHECK for unrecognized operations
    j = 1
    Do
        comp$ = Mid$(t$, j, 1)
        Select Case comp$
            Case "0" To "9", ".", "(", ")", ",": j = j + 1
            Case Else
                good = 0
                extrachar = 0
                For i = 1 To UBound(OName)
                    If Mid$(t$, j, Len(OName(i))) = OName(i) Then
                        good = -1: Exit For 'We found an operator after our ), and it's not a CONST (like PI)
                    Else
                        If Left$(OName(i), 1) = "_" And qb64prefix_set = 1 Then
                            'try without prefix
                            If Mid$(t$, j, Len(OName(i)) - 1) = Mid$(OName(i), 2) Then
                                good = -1: extrachar = 1: Exit For
                            End If
                        End If
                    End If
                Next
                If Not good Then t$ = "ERROR - Bad Operational value. (" + comp$ + ")": Exit Sub
                j = j + (Len(OName(i)) - extrachar)
        End Select
    Loop Until j > Len(t$)
End Sub

Function N2S$ (exp$) 'scientific Notation to String

    t$ = LTrim$(RTrim$(exp$))
    If Left$(t$, 1) = "-" Or Left$(t$, 1) = "N" Then sign$ = "-": t$ = Mid$(t$, 2)

    dp = InStr(t$, "D+"): dm = InStr(t$, "D-")
    ep = InStr(t$, "E+"): em = InStr(t$, "E-")
    check1 = Sgn(dp) + Sgn(dm) + Sgn(ep) + Sgn(em)
    If check1 < 1 Or check1 > 1 Then N2S = exp$: Exit Function 'If no scientic notation is found, or if we find more than 1 type, it's not SN!

    Select Case l 'l now tells us where the SN starts at.
        Case Is < dp: l = dp
        Case Is < dm: l = dm
        Case Is < ep: l = ep
        Case Is < em: l = em
    End Select

    l$ = Left$(t$, l - 1) 'The left of the SN
    r$ = Mid$(t$, l + 1): r&& = Val(r$) 'The right of the SN, turned into a workable long


    If InStr(l$, ".") Then 'Location of the decimal, if any
        If r&& > 0 Then
            r&& = r&& - Len(l$) + 2
        Else
            r&& = r&& + 1
        End If
        l$ = Left$(l$, 1) + Mid$(l$, 3)
    End If

    Select Case r&&
        Case 0 'what the heck? We solved it already?
            'l$ = l$
        Case Is < 0
            For i = 1 To -r&&
                l$ = "0" + l$
            Next
            l$ = "0." + l$
        Case Else
            For i = 1 To r&&
                l$ = l$ + "0"
            Next
    End Select

    N2S$ = sign$ + l$
End Function


[Image: image.png]
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Messages In This Thread
Math Evaluator - by SMcNeill - 12-11-2022, 08:06 PM
RE: Math Evaluator - by MasterGy - 12-12-2022, 03:30 PM
RE: Math Evaluator - by SMcNeill - 12-12-2022, 03:51 PM
RE: Math Evaluator - by SMcNeill - 10-14-2023, 08:56 PM
RE: Math Evaluator - by PhilOfPerth - 10-14-2023, 11:51 PM
RE: Math Evaluator - by SMcNeill - 10-15-2023, 12:07 AM
RE: Math Evaluator - by SMcNeill - 10-15-2023, 03:16 AM
RE: Math Evaluator - by BSpinoza - 10-15-2023, 04:22 AM
RE: Math Evaluator - by bplus - 10-15-2023, 12:47 PM



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