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+--- Thread: Faster addition in string math. Now with multiplication! (/showthread.php?tid=784)
RE: Faster addition in string math. Now with multiplication! - Jack - 08-21-2022
not bad Pete, 6 second here
RE: Faster addition in string math. Now with multiplication! - Pete - 08-21-2022
@Jack
6 seconds for 5000 iterations? I mean I know I bought my computer used from a guy named F. Flintstone, but I wouldn't have thought the difference would b that great. on faster systems. I figured most of you guys would be able to run 5000 loops in around 15 - 20 seconds.
Pete
RE: Faster addition in string math. Now with multiplication! - SMcNeill - 08-22-2022
12.5 seconds on my laptop, unless I got my timer in the wrong place to compare with you guys.
Code: (Select All)
Width 160, 42
_ScreenMove 0, 0
Do
limit&& = 5000
'betatest% = -1
If betatest% Then limit&& = 16
Do
Input "Number: "; x$: Print
If x$ = "" Then System
If Left$(x$, 1) = "-" Then
Print "Negatives not allowed. Redo..": _Delay 2: Print
Else
validate_string x$
If InStr(x$, "invalid") = 0 Then Exit Do
Print "Sorry, "; x$: _Delay 1: Print
End If
Loop
x# = Val(x$) ' Needed for QB64 SQR() comparison only.
oldy$ = ""
If InStr(x$, ".") Then
decx$ = Mid$(x$, 1, InStr(x$, ".") - 1)
x$ = Mid$(x$, 1, InStr(x$, ".") - 1) + Mid$(x$, InStr(x$, ".") + 1)
If Len(x$) = 1 Then x$ = x$ + "0"
Else
decx$ = x$
End If
j&& = Len(decx$)
' VAL() okay, one character eval.
If Val(Right$(LTrim$(Str$(j&&)), 1)) / 2 = Val(Right$(LTrim$(Str$(j&&)), 1)) \ 2 Then
i&& = 1 ' Even number length.
Else
i&& = 0 ' Odd number length.
End If
timed## = Timer
Do
stringmatha$ = z$: stringmathb$ = k$
string_math z$, "-", k$, runningtotal$, terminating_decimal%, limit&&
z$ = runningtotal$ + (Mid$(x$, i&&, 2))
If Left$(z$, 1) = "0" Then z$ = Mid$(z$, 2) ' Remove leading zeros
oldy$ = ""
For j&& = 1 To 10
If i&& > 1 Then
string_math sqrt$, "*", "2", y$, terminating_decimal%, limit&&
y$ = y$ + LTrim$(Str$(j&&))
Else
y$ = LTrim$(Str$(j&&))
End If
string_math y$, "*", LTrim$(Str$(j&&)), runningtotal$, terminating_decimal%, limit&&
string_compare runningtotal$, z$, gl%
If gl% > -1 Then
If gl% = 0 Then
h% = 0: oldy$ = y$ ' Perfect square division.
Else
h% = 1
End If
string_math oldy$, "*", LTrim$(Str$(j&& - h%)), runningtotal$, terminating_decimal%, limit&&
If String$(Len(z$), "0") = z$ And runningtotal$ = "0" And i&& >= Len(decx$) Then Exit Do
If dp&& = 0 Then ' Limited to && size unless converted to string.
If i&& >= Len(decx$) Then
dp&& = Int(Len(decx$) / 2 + .5)
If dp&& = 0 Then dp&& = -1
End If
End If
If betatest% Then Print "Sqrt "; sqrt$; " * 2 = ";: Color 2, 0: Print LTrim$(Str$(Val(sqrt$) * 2));: Color 7, 0: Print LTrim$(Str$(j&& - h%)); " * "; LTrim$(Str$(j&& - h%)); " ="; Val(oldy$) * (j&& - h%)
sqrt$ = sqrt$ + LTrim$(Str$(j&& - h%))
string_math oldy$, "*", LTrim$(Str$(j&& - h%)), runningtotal$, terminating_decimal%, limit&&
k$ = runningtotal$
If betatest% Then Print "Remainder "; z$; " minus "; k$; " = ";
Exit For
End If
oldy$ = y$
Next
If betatest% Then
string_math stringmatha$, "-", stringmathb$, runningtotal$, terminating_decimal%, limit&&
Print runningtotal$; " sqrt = "; sqrt$
End If
i&& = i&& + 2
If Len(z$) >= limit&& Then Exit Do
x$ = x$ + "00"
Loop
Print
If dp&& Then
sqrt$ = Mid$(sqrt$, 0, dp&& + 1) + "." + Mid$(sqrt$, dp&& + 1)
End If
_Clipboard$ = sqrt$
Print "QB64 SQR:"; Sqr(x#)
Print "Pete SQR: "; sqrt$: _Delay 1
Print
Print Using "###.##### seconds"; Timer - timed##
Clear
4 Loop
Sub string_math (stringmatha$, operator$, stringmathb$, runningtotal$, terminating_decimal%, limit&&)
Dim As _Integer64 a, b, c, aa, bb, cc, s, ss
a1$ = stringmatha$: b1$ = stringmathb$
Select Case operator$
Case "+", "-"
GoTo string_add_subtract_new
Case "*"
GoTo string_multiply_new
Case "/"
GoTo string_divide
Case Else
Print "Error, no operator selected. operator$ = "; operator$
End Select
string_divide:
terminating_decimal% = 0: divsign% = 0: divremainder& = 0: divremainder$ = "": divplace& = 0: divplace2& = 0: quotient$ = "": divcarry& = 0
operationdivision% = -1
divbuffer& = Len(stringmathb$) - Len(stringmatha$)
If divbuffer& < 0 Then divbuffer& = 0
d2dividend$ = stringmatha$
d1divisor$ = stringmathb$
If Left$(d1divisor$, 1) = "0" And Len(d1divisor$) = 1 Then Print "Division by zero not allowed.": divsign% = 0: operationdivision% = 0: Exit Sub
If Left$(d1divisor$, 1) = "-" Then divsign% = -1: d1divisor$ = Mid$(d1divisor$, 2)
If Left$(d2dividend$, 1) = "-" Then
If divsign% Then
divsign% = 0
Else
divsign% = -1
End If
d2dividend$ = Mid$(d2dividend$, 2)
End If
If InStr(d1divisor$, ".") <> 0 Then
Do Until Right$(d1divisor$, 1) <> "0"
d1divisor$ = Mid$(d1divisor$, 1, Len(d1divisor$) - 1) ' Strip off trailing zeros
Loop
divplace& = Len(d1divisor$) - InStr(d1divisor$, ".")
d1divisor$ = Mid$(d1divisor$, 1, InStr(d1divisor$, ".") - 1) + Mid$(d1divisor$, InStr(d1divisor$, ".") + 1) ' Strip off decimal point.
Do Until Left$(d1divisor$, 1) <> "0"
d1divisor$ = Mid$(d1divisor$, 2) ' Strip off leading zeros for divisors smaller than .1
Loop
End If
If InStr(d2dividend$, ".") <> 0 Then
d2dividend$ = d2dividend$ + String$(divplace& - Len(d2dividend$) - InStr(d2dividend$, "."), "0") ' Add any zeros based on the length of dividend at decimal - length of divisor at decimal. If less than zero, nothing added.
divplace2& = InStr(d2dividend$, ".")
Do Until Right$(d2dividend$, 1) <> "0"
d2dividend$ = Mid$(d2dividend$, 1, Len(d2dividend$) - 1) ' Strip off trailing zeros
Loop
d2dividend$ = Mid$(d2dividend$, 1, InStr(d2dividend$, ".") - 1) + Mid$(d2dividend$, InStr(d2dividend$, ".") + 1) ' Strip off decimal point.
Else
d2dividend$ = d2dividend$ + String$(divplace&, "0") ' Add any zeros based on the length of dividend at decimal - length of divisor at decimal. If less than zero, nothing added.
divplace& = 0
End If
Do
Do
divremainder& = divremainder& + 1: divremainder$ = divremainder$ + Mid$(d2dividend$, divremainder&, 1)
If Mid$(d2dividend$, divremainder&, 1) = "" Then
If divremainder$ = String$(Len(divremainder$), "0") And Len(quotient$) > Len(d2dividend$) Then
divflag% = -1
terminating_decimal% = -1
Exit Do
End If
divcarry& = divcarry& + 1
If divcarry& = 1 Then divplace3& = divremainder& - 1
If divcarry& > limit&& + 1 + divbuffer& Then
divflag% = -2: Exit Do
End If
divremainder$ = divremainder$ + "0" ' No more digits to bring down.
End If
If Len(divremainder$) > Len(d1divisor$) Or Len(divremainder$) = Len(d1divisor$) And divremainder$ >= d1divisor$ Then Exit Do
quotient$ = quotient$ + "0"
Loop
If divflag% Then divflag% = 0: Exit Do
For div_i% = 9 To 1 Step -1
stringmatha$ = LTrim$(Str$(div_i%)): stringmathb$ = d1divisor$
m_product$ = "": GoSub string_multiply_new
tempcutd$ = divremainder$ ' divremainder$ can be 00 or other leading zero values.
Do
If Len(tempcutd$) = 1 Then Exit Do
If Left$(tempcutd$, 1) = "0" Then
tempcutd$ = Mid$(tempcutd$, 2)
Else
Exit Do
End If
Loop
If Len(tempcutd$) > Len(m_product$) Or Len(tempcutd$) = Len(m_product$) And m_product$ <= tempcutd$ Then Exit For
Next
quotient$ = quotient$ + LTrim$(Str$(div_i%))
stringmatha$ = LTrim$(Str$(div_i%)): stringmathb$ = d1divisor$
m_product$ = "": GoSub string_multiply_new
operator$ = "-"
stringmatha$ = divremainder$
stringmathb$ = m_product$
GoSub string_add_subtract_new
divremainder$ = stringmatha$
operator$ = "/"
Loop
If divplace& = 0 And divplace2& = 0 Then divplace& = divplace3&
If divplace2& Then divplace& = divplace& + divplace2& - 1
If quotient$ = "" Then divplace& = 0 ' dividend is zero.
If divplace& Or divplace2& Then
quotient$ = Mid$(quotient$, 1, divplace&) + "." + Mid$(quotient$, divplace& + 1)
Do Until Right$(quotient$, 1) <> "0"
quotient$ = Mid$(quotient$, 1, Len(quotient$) - 1) ' Strip off trailing zeros
Loop
If Right$(quotient$, 1) = "." Then quotient$ = Mid$(quotient$, 1, Len(quotient$) - 1) ' Strip off abandoned decimal.
End If
Do Until Left$(quotient$, 1) <> "0"
quotient$ = Mid$(quotient$, 2) ' Strip off leading zeros
Loop
If quotient$ = "" Then quotient$ = "0": divsign% = 0
operationdivision% = 0
stringmathb$ = quotient$: quotient$ = ""
If stringmathb$ = "overflow" Then divsign% = 0: operationdivision% = 0: Exit Sub
runningtotal$ = stringmathb$: stringmathb$ = ""
If divsign% Then runningtotal$ = "-" + runningtotal$
If stringmathround$ <> "" Then runningtotal$ = runningtotal$ + stringmathround$
operationdivision% = 0
Exit Sub
'------------------------------------------------------------------------
string_add_subtract_new:
s = 18
a$ = stringmatha$: b$ = stringmathb$: op$ = operator$
If op$ = "-" Then
If Left$(b$, 1) = "-" Then b$ = Mid$(b$, 2) Else b$ = "-" + b$
End If
If InStr(a$, ".") <> 0 Or InStr(b$, ".") <> 0 Then
decimal% = -1
If InStr(a$, ".") <> 0 Then
dec_a&& = Len(Mid$(a$, InStr(a$, ".") + 1))
a$ = Mid$(a$, 1, InStr(a$, ".") - 1) + Mid$(a$, InStr(a$, ".") + 1)
End If
If InStr(b$, ".") <> 0 Then
dec_b&& = Len(Mid$(b$, InStr(b$, ".") + 1))
b$ = Mid$(b$, 1, InStr(b$, ".") - 1) + Mid$(b$, InStr(b$, ".") + 1)
End If
' Line up decimal places by inserting trailing zeros.
If dec_b&& > dec_a&& Then
j&& = dec_b&&
a$ = a$ + String$(dec_b&& - dec_a&&, "0")
Else
j&& = dec_a&&
b$ = b$ + String$(dec_a&& - dec_b&&, "0")
End If
End If
If Left$(a$, 1) = "-" Or Left$(b$, 1) = "-" Then
If Left$(a$, 1) = "-" And Left$(b$, 1) = "-" Then
sign$ = "--": a$ = Mid$(a$, 2): b$ = Mid$(b$, 2)
Else
If Left$(a$, 1) = "-" Then a$ = Mid$(a$, 2): sign_a$ = "-"
If Left$(b$, 1) = "-" Then b$ = Mid$(b$, 2): sign_b$ = "-"
If Left$(a1$, 1) = "-" Then a1_x$ = Mid$(a1$, 2) Else a1_x$ = a1$
If Left$(b1$, 1) = "-" Then b1_x$ = Mid$(b1$, 2) Else b1_x$ = b1$
string_compare a1_x$, b1_x$, gl%
If gl% < 0 Then
If Len(sign_b$) Then sign$ = "-": Swap a$, b$
Else
If Len(sign_a$) Then sign$ = "-": Swap sign_a$, sign_b$
End If
End If
End If
s = 18: z$ = ""
Do
i&& = i&& + s
x1$ = Mid$(a$, Len(a$) - i&& + 1, s)
x2$ = Mid$(b$, Len(b$) - i&& + 1, s)
a = Val(sign_a$ + x1$) + Val(sign_b$ + x2$) + c
If x1$ + x2$ = "" And c = 0 Then Exit Do
c = 0
If a > Val(String$(s, "9")) Then a = a - 10 ^ s: c = 1
If a < 0 Then a = a + 10 ^ s: c = -1
tmp$ = LTrim$(Str$(a))
z$ = String$(Len(x1$) - Len(tmp$), "0") + tmp$ + z$
Loop
If decimal% Then
z$ = Mid$(z$, 1, Len(z$) - j&&) + "." + Mid$(z$, Len(z$) - j&& + 1)
End If
' Remove any leading zeros.
Do
If Left$(z$, 1) = "0" Then z$ = Mid$(z$, 2) Else Exit Do
Loop
If z$ = "" Or z$ = "0" Then z$ = "0" Else z$ = Left$(sign$, 1) + z$
runningtotal$ = z$ '*'
sign$ = "": sign_a$ = "": sign_b$ = "": i&& = 0: j&& = 0: decimal% = 0: c = 0
Exit Sub
'------------------------------------------------------------------------
string_multiply_new:
z$ = "": sign$ = "": mult&& = 0: h&& = 0: i&& = 0: j&& = 0: c = 0: decimal% = 0
zz$ = "": ii&& = 0: jj&& = 0
s = 8: ss = 18
a$ = stringmatha$: b$ = stringmathb$
If InStr(a$, "-") <> 0 Or InStr(b$, "-") <> 0 Then
If InStr(a$, "-") <> 0 And InStr(b$, "-") <> 0 Then
a$ = Mid$(a$, 2): b$ = Mid$(b$, 2)
Else
If InStr(a$, "-") <> 0 Then a$ = Mid$(a$, 2) Else b$ = Mid$(b$, 2)
sign$ = "-"
End If
End If
If InStr(a$, ".") <> 0 Or InStr(b$, ".") <> 0 Then
decimal% = -1
If InStr(a$, ".") <> 0 Then
dec_a&& = Len(Mid$(a$, InStr(a$, ".") + 1))
a$ = Mid$(a$, 1, InStr(a$, ".") - 1) + Mid$(a$, InStr(a$, ".") + 1)
End If
If InStr(b$, ".") <> 0 Then
dec_b&& = Len(Mid$(b$, InStr(b$, ".") + 1))
b$ = Mid$(b$, 1, InStr(b$, ".") - 1) + Mid$(b$, InStr(b$, ".") + 1)
End If
End If
Do
h&& = h&& + s: i&& = 0
x2$ = Mid$(b$, Len(b$) - h&& + 1, s)
While -1
i&& = i&& + s
x1$ = Mid$(a$, Len(a$) - i&& + 1, s)
a = Val(sign_a$ + x1$) * Val(sign_b$ + x2$) + c
If betatest% Then Print "x1$ = "; x1$;: Locate , 20: Print "x2$ = "; x2$;: Locate , 35: Print Val(x1$) * Val(x2$) + c;: Locate , 55: Print "c = "; c;: Locate , 75: Print "val = "; a,
c = 0
tmp$ = LTrim$(Str$(a))
If Len(tmp$) > s Then c = Val(Mid$(tmp$, 1, Len(tmp$) - s)): tmp$ = Mid$(tmp$, Len(tmp$) - s + 1)
z$ = String$(Len(x1$) - Len(tmp$), "0") + tmp$ + z$
If betatest% Then Locate , 100: Print a;: Locate , 120: Print z$
If i&& >= Len(a$) And c = 0 Then Exit While
Wend
jj&& = jj&& + 1
If jj&& > 1 Then
ii&& = 0: cc = 0
aa$ = holdaa$
bb$ = z$ + String$((jj&& - 1) * s, "0")
If betatest% Then Print "aa$ "; aa$; " + bb$ "; z$;: Color 14, 0: Print String$(jj&& - 1, "0"); " = ";: Color 7, 0: Sleep
Do
ii&& = ii&& + ss
xx1$ = Mid$(aa$, Len(aa$) - ii&& + 1, ss)
xx2$ = Mid$(bb$, Len(bb$) - ii&& + 1, ss)
aa = Val(xx1$) + Val(xx2$) + cc
If xx1$ + xx2$ = "" And cc = 0 Then Exit Do ' Prevents leading zeros.
cc = 0
If aa > Val(String$(ss, "9")) Then aa = aa - 10 ^ ss: cc = 1
tmp$ = LTrim$(Str$(aa))
zz$ = String$(Len(xx1$) - Len(tmp$), "0") + tmp$ + zz$
Loop
Do While Left$(zz$, 1) = "0"
If Left$(zz$, 1) = "0" Then zz$ = Mid$(zz$, 2)
Loop
If zz$ = "" Then zz$ = "0"
holdaa$ = zz$
If betatest% Then Color 2, 0: Print holdaa$: Color 7, 0
Else
holdaa$ = z$ + String$(jj&& - 1, "0")
End If
z$ = "": zz$ = ""
Loop Until h&& >= Len(b$)
z$ = holdaa$
If decimal% Then
Do Until Len(z$) >= dec_a&& + dec_b&&
z$ = "0" + z$
Loop
z$ = Mid$(z$, 0, Len(z$) - (dec_a&& + dec_b&& - 1)) + "." + Mid$(z$, Len(z$) - (dec_a&& + dec_b&&) + 1)
Do Until Right$(z$, 1) <> "0" And Right$(z$, 1) <> "."
z$ = Mid$(z$, 1, Len(z$) - 1)
Loop
End If
If z$ = "" Or z$ = "0" Then z$ = "0": Else z$ = sign$ + z$
decimal% = 0: sign$ = ""
runningtotal$ = z$
Exit Sub
replace_decimal:
If addsubplace& Then
addsubx1$ = String$(addsubplace& - Len(addsubx1$), "0") + addsubx1$
addsubx1$ = Mid$(addsubx1$, 1, Len(addsubx1$) - addsubplace&) + "." + Mid$(addsubx1$, Len(addsubx1$) - addsubplace& + 1)
Do Until Right$(addsubx1$, 1) <> "0" ' Remove trailing zeros in a decimal sum.
addsubx1$ = Mid$(addsubx1$, 1, Len(addsubx1$) - 1)
addsubplace& = addsubplace& - 1
Loop
If Right$(addsubx1$, 1) = "." Then addsubx1$ = Mid$(addsubx1$, 1, Len(addsubx1$) - 1) ' Number is now an integer.
End If
Return
string_comp:
Do
' Remove trailing zeros after a decimal point.
If InStr(acomp$, ".") Then
Do Until Right$(acomp$, 1) <> "0" And Right$(acomp$, 1) <> "." And Right$(acomp$, 1) <> "-"
acomp$ = Mid$(acomp$, 1, Len(acomp$) - 1)
Loop
End If
If InStr(bcomp$, ".") Then
Do Until Right$(bcomp$, 1) <> "0" And Right$(bcomp$, 1) <> "." And Right$(bcomp$, 1) <> "-"
bcomp$ = Mid$(bcomp$, 1, Len(bcomp$) - 1)
Loop
End If
If Mid$(acomp$, 1, 2) = "-0" Or acomp$ = "" Or acomp$ = "-" Then acomp$ = "0"
If Mid$(bcomp$, 1, 2) = "-0" Or bcomp$ = "" Or bcomp$ = "-" Then bcomp$ = "0"
' A - and +
If Left$(acomp$, 1) = "-" Then j% = -1
If Left$(bcomp$, 1) = "-" Then k% = -1
If k% = 0 And j% Then gl% = -1: Exit Do
If j% = 0 And k% Then gl% = 1: Exit Do
' A decimal and non-decimal.
j% = InStr(acomp$, ".")
k% = InStr(bcomp$, ".")
If j% = 0 And k% Then
If acomp$ = "0" Then gl% = -1 Else gl% = 1
Exit Do
End If
If k% = 0 And j% Then
If bcomp$ = "0" Then gl% = 1 Else gl% = -1
Exit Do
End If
' Both decimals.
If j% Then
If acomp$ > bcomp$ Then
gl% = 1
ElseIf acomp$ = bcomp$ Then gl% = 0
ElseIf acomp$ < bcomp$ Then gl% = -1
End If
Exit Do
End If
' Both positive or both negative whole numbers.
Select Case Len(acomp$)
Case Is < Len(bcomp$)
gl% = -1
Case Is = Len(bcomp$)
If acomp$ = bcomp$ Then
gl% = 0
ElseIf acomp$ > bcomp$ Then gl% = 1
ElseIf acomp$ < bcomp$ Then gl% = -1
End If
Case Is > Len(bcomp$)
gl% = 1
End Select
Exit Do
Loop
Return
End Sub
Sub string_compare (compa$, compb$, gl%)
Do
' Remove trailing zeros after a decimal point.
If InStr(compa$, ".") Then
Do Until Right$(compa$, 1) <> "0" And Right$(compa$, 1) <> "." And Right$(compa$, 1) <> "-"
compa$ = Mid$(compa$, 1, Len(compa$) - 1)
Loop
End If
If InStr(compb$, ".") Then
Do Until Right$(compb$, 1) <> "0" And Right$(compb$, 1) <> "." And Right$(compb$, 1) <> "-"
compb$ = Mid$(compb$, 1, Len(compb$) - 1)
Loop
End If
If Mid$(compa$, 1, 2) = "-0" Or compa$ = "" Or compa$ = "-" Then compa$ = "0"
If Mid$(compb$, 1, 2) = "-0" Or compb$ = "" Or compb$ = "-" Then compb$ = "0"
' A - and +
If Left$(compa$, 1) = "-" Then j% = -1
If Left$(compb$, 1) = "-" Then k% = -1
If k% = 0 And j% Then gl% = -1: Print "1*": Exit Do
If j% = 0 And k% Then gl% = 1: Print "2*": Exit Do
' A decimal and non-decimal.
j% = InStr(compa$, ".")
k% = InStr(compb$, ".")
If j% = 0 And k% Then
If compa$ = "0" Then gl% = -1: Print "4*" Else gl% = 1: Print "5*"
Exit Do
End If
If k% = 0 And j% Then
If compb$ = "0" Then gl% = 1: Print "6*" Else gl% = -1: Print "7*"
Exit Do
End If
' Both decimals.
If j% Then
If compa$ > compb$ Then
gl% = 1: Print "8*"
ElseIf compa$ = compb$ Then gl% = 0: Print "9*"
ElseIf compa$ < compb$ Then gl% = -1: Print "10*"
End If
Exit Do
End If
' Both positive or both negative whole numbers.
Select Case Len(compa$)
Case Is < Len(compb$)
gl% = -1
Case Is = Len(compb$)
If compa$ = compb$ Then
gl% = 0
ElseIf compa$ > compb$ Then gl% = 1
ElseIf compa$ < compb$ Then gl% = -1
End If
Case Is > Len(compb$)
gl% = 1
End Select
Exit Do
Loop
End Sub
Sub validate_string (stringmathb$)
Do ' Faux loop.
vsn_negcnt& = 0: vsn_poscnt& = 0: vsn_depresent& = 0: decimalcnt& = 0: vsn_numberpresent& = 0: vsn_zerospresent& = 0
If Left$(stringmathb$, 1) = "-" Then stringmathb$ = Mid$(stringmathb$, 2): sm_sign$ = "-" Else sm_sign$ = ""
If Left$(stringmathb$, 1) = "+" Then If sm_sign$ <> "-" Then stringmathb$ = Mid$(stringmathb$, 2) Else stringmathb$ = "invalid number": Exit Do
If InStr(UCase$(stringmathb$), "D") Or InStr(UCase$(stringmathb$), "E") Then ' Evaluate for Scientific Notation.
For sm_i& = 1 To Len(stringmathb$)
validatenum$ = Mid$(UCase$(stringmathb$), sm_i&, 1)
Select Case validatenum$
Case "+"
If vsn_depresent& Then vsn_poscnt& = vsn_poscnt& + 1 Else stringmathb$ = "invalid number": Exit Do
Case "-"
If vsn_depresent& Then vsn_negcnt& = vsn_negcnt& + 1 Else stringmathb$ = "invalid number": Exit Do
Case "0" To "9"
vsn_numberpresent& = -1
Case "D", "E"
vsn_depresent& = vsn_depresent& + 1
If decimalcnt& = 0 And sm_i& <> 2 Or vsn_depresent& > 1 Or vsn_numberpresent& = 0 Or vsn_negcnt& > 1 Or vsn_poscnt& > 1 Or vsn_negcnt& = 1 And vsn_poscnt& >= 1 Then vsn_numberpresent& = 0: Exit For
vsn_numberpresent& = 0
Mid$(stringmathb$, sm_i&, 1) = "e" ' Standardize
Case "."
decimalcnt& = decimalcnt& + 1
If sm_i& <> 2 Then vsn_numberpresent& = 0: Exit For
Case Else
vsn_numberpresent& = 0: Exit For
End Select
Next
If decimalcnt& = 0 Then stringmathb$ = Mid$(stringmathb$, 1, 1) + "." + Mid$(stringmathb$, 2) ' Standardize "."
If vsn_numberpresent& = 0 Or vsn_negcnt& = 1 And vsn_poscnt& = 1 Or decimalcnt& > 1 Or InStr(stringmathb$, ".") <> 2 Then stringmathb$ = "invalid number": Exit Do
vsn_depresent& = InStr(stringmathb$, "e")
sm_x$ = Mid$(stringmathb$, vsn_depresent& + 1, 1) ' Standardize exponent "+" these two lines.
If sm_x$ <> "+" And sm_x$ <> "-" Then stringmathb$ = Mid$(stringmathb$, 1, vsn_depresent&) + "+" + Mid$(stringmathb$, vsn_depresent& + 1)
If Mid$(stringmathb$, vsn_depresent& + 2, 1) = "0" Then
If Mid$(stringmathb$, vsn_depresent& + 3, 1) <> "" Then stringmathb$ = "invalid number": Exit Do ' No leading zeros allowed in exponent notation.
End If
jjed& = InStr(stringmathb$, "e") ' Get position of notation.
valexpside$ = Mid$(stringmathb$, jjed&) ' These two lines break up into number and notation
stringmathb$ = Mid$(stringmathb$, 1, jjed& - 1) ' stringmathb$ is +- single digit whole number, decimal point and decimal number. valexpside$ is notation, sign and exponent.
Do Until Right$(stringmathb$, 1) <> "0" ' Remove any trailing zeros for number. Example 1.0d3 or 1.0000d3, etc.
stringmathb$ = Mid$(stringmathb$, 1, Len(stringmathb$) - 1)
Loop
If Val(Mid$(stringmathb$, 1, InStr(stringmathb$, ".") - 1)) = 0 Then
If Right$(stringmathb$, 1) = "." Then
stringmathb$ = "0.e+0" ' Handles all types of zero entries.
Else
stringmathb$ = "invalid number": Exit Do
End If
Exit Do
End If
stringmathb$ = sm_sign$ + stringmathb$ + valexpside$
Exit Do
Else
For sm_i& = 1 To Len(stringmathb$)
validatenum$ = Mid$(stringmathb$, sm_i&, 1)
Select Case validatenum$
Case "."
decimalcnt& = decimalcnt& + 1
Case "0"
vsn_zerospresent& = -1
Case "1" To "9"
vsn_numberpresent& = -1
Case "$"
Case Else
stringmathb$ = "invalid number": Exit Do
End Select
Next
If decimalcnt& > 1 Or vsn_negcnt& > 1 Or vsn_poscnt& > 1 Or vsn_negcnt& >= 1 And vsn_poscnt& >= 1 Then
stringmathb$ = "invalid number": Exit Do
End If
Rem IF INSTR(stringmathb$, "$") THEN GOSUB currency_validate
Rem IF INSTR(stringmathb$, ",") THEN
Rem GOSUB comma_validation
Rem IF stringmathb$ = "invalid number" THEN exit do
Rem GOSUB comma_removal
Rem END IF
If Right$(stringmathb$, 1) = "." Then stringmathb$ = Mid$(stringmathb$, 1, Len(stringmathb$) - 1)
Do Until Left$(stringmathb$, 1) <> "0" ' Strip off any leading zeros.
stringmathb$ = Mid$(stringmathb$, 2)
Loop
stringmathb$ = sm_sign$ + stringmathb$
If InStr(stringmathb$, ".") Then
Do Until Right$(stringmathb$, 1) <> "0" ' Strip off any trailing zeros in a decimal.
stringmathb$ = Mid$(stringmathb$, 1, Len(stringmathb$) - 1)
Loop
End If
If Right$(stringmathb$, 1) = "." Then stringmathb$ = Mid$(stringmathb$, 1, Len(stringmathb$) - 1)
If vsn_numberpresent& = 0 Then
If vsn_zerospresent& Then
stringmathb$ = "0"
Else
stringmathb$ = "invalid number"
End If
End If
End If
Exit Do
Loop
End SubRE: Faster addition in string math. Now with multiplication! - Pete - 08-22-2022
Now working with pi and found one more bug, which didn't affect all of the sqrt calcs, amazingly enough.
Before the DO:LOOP that uses the counter h&& = h&& + s begins, I added...
IF LEN(a$) < LEN(b$) THEN SWAP a$, b$
The loop takes care of some calculation where the VAL() drops leading zeros, but to do so properly, the fist variable a$ of a$ and b$ variables, must always be the longest string, or at lease equal in length for that leading zero conversion from VAL() to STR() to work properly.
I have edited the last post with this statement addition.
It looks like I lost a couple of seconds in the process. Oh well, fast and accurate beats faster and wrong.
Pete