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楼主 |
发表于 2026-11-2 02:07
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如下慢速程序比前一个快速还稍快一点啊？代码如下：
Private Function fenjieyinzi(sa As String) As String
'判断素数及分解合数的程序（小数值的）
Dim X, A, B, k As String
A = Val(sa)
X = 3
If A <= 1 Or A > Int(A) Then
If A = 1 Then
fenjieyinzi = "它既不是质数，也不是合数"
Else
MsgBox "error"
End If
Else
Do While A / 2 = Int(A / 2) And A >= 4
If B = 0 Then
fenjieyinzi = fenjieyinzi & "2"
B = 1
Else
fenjieyinzi = fenjieyinzi & "*2"
End If
A = A / 2
k = A
Loop
Do While A > 1
Do While X <= Sqr(A)
Do While A / X = Int(A / X) And A >= X * X
If B = 0 Then
fenjieyinzi = fenjieyinzi & X
B = 1
Else
fenjieyinzi = fenjieyinzi & "*" & X
End If
A = A / X
Loop
X = X + 2
Loop
k = A
A = 1
Loop
If B = 1 Then
fenjieyinzi = fenjieyinzi & "*" & k
Else
fenjieyinzi = "这是一个质数"
End If
End If
End Function
Private Function fenjieyinzi0(sa As String) As String
Dim A, n
n = Trim(sa)
If Len(n) < 10 Then
fenjieyinzi0 = fenjieyinzi(Trim(n))
Else
n1 = MPC(Trim(n), 1)
A = 123
'a为明文
a1 = zzxc(Trim(n), Trim(A))
If Val(a1) > 1 Then
fenjieyinzi0 = a1 & "*"
Else
c = 999
'c为公约
Do While zzxc(Trim(n1), Trim(c)) > 1
c = Val(c - 1)
Loop
d = qniyuan(Trim(c), Trim(n1))
'd为逆元为私钥
a2 = qksmimo(Trim(A), Trim(c), Trim(n))
'a2为密文
a3 = qksmimo(Trim(a2), Trim(d), Trim(n))
If MBJC(Trim(a3), Trim(A)) = 0 Then
fenjieyinzi0 = "这是素数有"
Else
fenjieyinzi0 = "2*2"
End If
End If
End If
End Function
Public Function MCC1(D1 As String, D2 As String) As String ';大整数的除法
'可能还有优化和提高速度的空间
Dim ss
ss = MBJC(D1, D2)
If ss = -1 Then
MCC1 = "0" & "/" & D1
Else
If ss = 0 Then
MCC1 = 1
Else
If Len(D1) = Len(D2) Then
Do While MBJC(D1, D2) >= 0
S1 = S1 + 1
D1 = MPC(D1, D2)
Loop
If D1 = 0 Then
MCC1 = S1
Else
MCC1 = S1 & "/" & D1
End If
Else
If Len(D2) < 9 Then
MCC1 = MCC(D1, D2)
Else
Dim X, Y ';定义分段长度
X = Len(D1) \ 4: Y = Len(D2) \ 4
If Len(D1) > 4 * X Then
X = X + 1
D1 = String(4 * X - Len(D1), "0") & D1
ElseIf Len(D2) > 4 * Y Then
Y = Y + 1
D2 = String(4 * Y - Len(D2), "0") & D2
Else
D1 = String(4 * X - Len(D1), "0") & D1
D2 = String(4 * Y - Len(D2), "0") & D2
End If
X = Len(D1) \ 4: Y = Len(D2) \ 4
Dim JW, jcc, jss, jcs
Dim A() As String, B() As String
ReDim A(1 To X)
ReDim B(1 To Y)
For i = 1 To X
A(i) = Mid(D1, i * 4 - 3, 4)
Next
For j = 1 To Y
B(j) = Mid(D2, j * 4 - 3, 4)
jws = jws & A(j)
Next
If Len(qqdl(Trim(jws))) <= Len(qqdl(D2)) Then
jcc = Val(Left(qqdl(A(1) & A(2)), 2)) \ Val(Left(qqdl(B(1) & B(2)), 2))
Else
jcc = Val(Left(qqdl(A(1) & A(2)), 2 + Len(qqdl(Trim(jws))) - Len(qqdl(D2)))) \ Val(Left(qqdl(B(1) & B(2)), 2))
End If
jss = MbC(Trim(jcc), D2)
Do While MBJC(Trim(jws), Trim(jss)) = -1
jcc = jcc - 1
jss = MbC(Trim(jcc), D2)
Loop
JW = MPC(Trim(jws), Trim(jss))
z = X - Y
Dim c() As String
ReDim c(1 To z)
For s = 1 To z
If MBJC(JW & A(s + Y), D2) = -1 Then
c(s) = "0000"
Else
If Len(qqdl(JW & A(s + Y))) = Len(qqdl(D2)) Then
jwc = Val(Left(qqdl(JW & A(s + Y)), 4)) \ Val(Left(qqdl(B(1) & B(2)), 4))
Else
If Len(qqdl(JW & A(s + Y))) <= Len(qqdl(D2)) Then
jwc = Val(Left(qqdl(JW & A(s + Y)), 4)) \ Val(Left(qqdl(B(1) & B(2)), 4))
Else
jwc = Val(Left(qqdl(JW & A(s + Y)), 4 + Len(qqdl(JW & A(s + Y))) - Len(qqdl(D2)))) / Val(Left(qqdl(B(1) & B(2)), 4))
jwc = Format(Val(jwc), "0.000000")
If InStr(jwc, ".") = 0 Then
jwc = jwc
Else
jwc = Left(jwc, InStr(jwc, ".") - 1)
End If
End If
End If
c(s) = jwc
End If
jsw = MbC(Trim(c(s)), Trim(D2))
Do While MBJC(JW & A(s + Y), Trim(jsw)) = -1
c(s) = c(s) - 1
jsw = MbC(Trim(c(s)), D2)
Loop
JW = MPC(JW & A(s + Y), MbC(Val(c(s)), D2))
Do While MBJC(Trim(JW), Trim(D2)) >= 0
jwc1 = jwc1 + 1
JW = MPC(Trim(JW), Trim(D2))
Loop
c(s) = Val(c(s) + jwc1)
c(s) = Right(100000000 + Val(c(s)), 4)
jcc = jcc & c(s)
Next s
If JW = 0 Then
MCC1 = jcc
Else
MCC1 = jcc & "/" & JW
End If
For i = 1 To Len(MCC1)
If Not Mid(MCC1, i, 1) = "0" Then
Exit For
End If
Next
strTmp = Mid(MCC1, i)
If Len(strTmp) = 0 Then
MCC1 = "0"
Else
MCC1 = strTmp
End If
End If
End If
End If
End If
End Function
Private Function qniyuan(sa As String, sb As String) As String
Dim n, p, A, B, c, d, r
n = Trim(sa)
p = Trim(sb)
A = 1
B = 0
c = 0
d = 1
If Len(n) < 10 And Len(p) < 10 Then
If Val(n) > Val(p) Then
m = n
q = p
S1 = 1
Else
m = p
q = n
S1 = 0
End If
Do Until Val(m) Mod Val(q) = 0
s = m \ q
r = m Mod q
S1 = Val(S1 + 1)
If S1 Mod 2 = 1 Then
A = A
B = A * s + B
c = c
d = c * s + d
Else
B = B
A = A + B * s
d = d
c = c + d * s
End If
m = q
q = r
Loop
If Val(A + B * m) = p Then
B = B
A = A + B * (m - 1)
d = d
c = c + d * (m - 1)
Else
If Val(B + A * m) = p Then
A = A
B = B + A * m
c = c
d = d + c * m
Else
B = B
A = A + B * (m - 1)
d = d
c = c + d * (m - 1)
End If
End If
Else
If MBJC(Trim(n), Trim(p)) > 0 Then
m = n
q = p
S1 = 1
Else
m = p
q = n
S1 = 0
End If
Do Until zhengchuqyushu(MCC1(Trim(m), Trim(q))) = 0
s = zhengchuqy(MCC1(Trim(m), Trim(q)))
r = zhengchuqyushu(MCC1(Trim(m), Trim(q)))
S1 = Val(S1 + 1)
If S1 Mod 2 = 1 Then
A = A
B = MPC1(MbC(Trim(A), Trim(s)), Trim(B))
c = c
d = MPC1(MbC(Trim(c), Trim(s)), Trim(d))
Else
B = B
A = MPC1(Trim(A), MbC(Trim(B), Trim(s)))
d = d
c = MPC1(Trim(c), MbC(Trim(d), Trim(s)))
End If
m = q
q = r
Loop
If MBJC(MPC1(Trim(A), MbC(Trim(B), Trim(m))), Trim(p)) = 0 Then
B = B
A = MPC1(Trim(A), MbC(Trim(B), MPC(Trim(m), 1)))
d = d
c = MPC1(Trim(c), MbC(Trim(d), MPC(Trim(m), 1)))
Else
If MBJC(MPC1(Trim(B), MbC(Trim(A), Trim(m))), Trim(p)) = 0 Then
A = A
B = MPC1(Trim(B), MbC(Trim(A), Trim(m)))
c = c
d = MPC1(Trim(d), MbC(Trim(c), Trim(m)))
Else
B = B
A = MPC1(Trim(A), MbC(Trim(B), MPC(Trim(m), 1)))
d = d
c = MPC1(Trim(c), MbC(Trim(d), MPC(Trim(m), 1)))
End If
End If
End If
qniyuan = A
End Function
Private Function zzxc(sa As String, sb As String) As String
'辗转相除输出最大公约数
Dim A, B, c, d, r
A = Trim(sa)
B = Trim(sb)
If Len(A) < 10 And Len(B) < 10 Then
If Val(A) > Val(B) Then
c = A
d = B
Else
c = B
d = A
End If
Do Until Val(c) Mod Val(d) = 0
r = c Mod d
c = d
d = r
Loop
Else
If MBJC(Trim(A), Trim(B)) >= 1 Then
c = A
d = B
Else
c = B
d = A
End If
Do Until zhengchuqyushu(MCC1(Trim(c), Trim(d))) = 0
r = zhengchuqyushu(MCC1(Trim(c), Trim(d)))
c = d
d = r
Loop
End If
zzxc = d
End Function
Private Function qksmimo(sa As String, sb As String, sc As String) As String
'求快速幂模的程序
Dim c, e, n, d
c = Trim(sa)
e = Trim(sb)
n = Trim(sc)
d = 1
If Len(c) < 5 And Len(e) < 5 And Len(n) < 5 Then
c = Val(c): n = Val(n)
Do While e > 0
If Right(e, 1) Mod 2 = 0 Then
c = c * c Mod n
e = e / 2
Else
d = d * c Mod n
e = e - 1
End If
Loop
Else
c = c
Do While MBJC(Trim(e), 1) >= 0
If Right(e, 1) Mod 2 = 0 Then
c = zhengchuqyushu(MCC1(MbC(Trim(c), Trim(c)), Trim(n)))
e = zhengchuqy(MCC1(Trim(e), 2))
Else
d = zhengchuqyushu(MCC1(MbC(Trim(c), Trim(d)), Trim(n)))
e = MPC(Trim(e), 1)
End If
Loop
End If
qksmimo = d
End Function
Private Function zhengchuqyushu(sa As String) As String
'提取余数的程序
If InStr(sa, "/") = 0 Then
zhengchuqyushu = 0
Else
zhengchuqyushu = Mid(sa, InStr(sa, "/") + 1)
End If
End Function
Private Function zhengchuqy(sa As String) As String
'取整除后的商或方根或立方跟的整数部分的程序
If InStr(sa, "/") = 0 Then
zhengchuqy = sa
Else
zhengchuqy = Left(sa, InStr(sa, "/") - 1)
End If
End Function
Public Function MBBC(D1 As String) As String 'kai pingfang
'开平方的程序
If Len(D1) < 10 Then
jss = Int(Sqr(Val(D1)))
JW = Val(D1) - (jss) ^ 2
If JW = 0 Then
MBBC = jss
Else
MBBC = jss & "/" & JW
End If
Else
Dim X 'shuju changdu
X = Len(D1) \ 4
D2 = String(4 - Len(D1) + 4 * X, "0") & D1
Dim A() As String
ReDim A(4 To 4 * X + 4)
Dim B() As String
ReDim B(2 To 2 * X)
Dim i, j, js
For i = 4 To 4 * X + 4 Step 4
A(i) = Mid(D2, i - 3, 4)
js = Int(Sqr(Val(A(4) & A(8))))
JW = Val(A(4) & A(8)) - (js) ^ 2
Next
j = 4
Do While j <= 2 * X
jws = MPC1(JW & "0000", A(2 * j + 4))
If MBJC(Trim(jws), MbC(Trim(js), 200)) <= 0 Then
B(j) = "00"
Else
jwc = Left(jws, Len(jws) - Len(MbC(Trim(js), 200)) + 2) \ Left(MbC(Trim(js), 200), 2)
If Len(jwc) > 2 Then
B(j) = 99
Else
B(j) = jwc
End If
Do While MBJC(Trim(jws), MbC(MPC1(B(j), MbC(Trim(js), 200)), B(j))) = -1
B(j) = B(j) - 1
Loop
End If
JW = MPC(Trim(jws), MbC(MPC1(MbC(200, Trim(js)), B(j)), B(j)))
js = MPC1(MbC(Trim(js), 100), Trim(B(j)))
j = j + 2
If JW = 0 Then
MBBC = js
Else
MBBC = js & "/" & JW
End If
Loop
End If
End Function
Public Function MBJC(D1 As String, D2 As String) As String 'bijiao
'比较大小的程序
If Len(D1) > Len(D2) Then
MBJC = 1
Else
If Len(D1) < Len(D2) Then
MBJC = -1
Else
If Len(D1) = Len(D2) And Len(D1) >= 10 Then
Dim X, Y
X = Len(D1) \ 4: Y = Len(D2) \ 4
Dim A() As String, B() As String
ReDim A(4 To 4 * X + 4)
ReDim B(4 To 4 * Y + 4)
If Val(Left(D1, Len(D1) - 4 * X)) > Val(Left(D2, Len(D2) - 4 * Y)) Then
MBJC = 1
Else
If Val(Left(D1, Len(D1) - 4 * X)) < Val(Left(D2, Len(D2) - 4 * Y)) Then
MBJC = -1
Else
For i = 4 To 4 * X Step 4
A(i) = Mid(D1, Len(D1) - i + 1, 4)
B(i) = Mid(D2, Len(D2) - i + 1, 4)
Next
j = 4 * X
Do While A(j) = B(j) And j >= 8
j = j - 4
Loop
If Val(A(j)) - Val(B(j)) > 0 Then
MBJC = 1
Else
If Val(A(j)) - Val(B(j)) < 0 Then
MBJC = -1
Else
MBJC = 0
End If
End If
End If
End If
End If
If Len(D1) < 10 Then
ja = Val(D1) - Val(D2)
If ja > 0 Then
MBJC = 1
Else
If ja = 0 Then
MBJC = 0
Else
MBJC = -1
End If
End If
End If
End If
End If
End Function
Public Function MbC(D1 As String, D2 As String) As String
'乘法可调用程序
Dim j1&, j2&, e&, d&, e1&, m, n
' 按列法计算C=A*B
m = Trim(D1): n = Trim(D2)
X = Len(m) \ 4: Y = Len(n) \ 4
m = String(4 * X + 4 - Len(m), "0") & m
n = String(4 * Y + 4 - Len(n), "0") & n
X = X + 1: Y = Y + 1
Dim A(), B()
ReDim A(1 To X): ReDim B(1 To Y)
For i1 = 1 To X
A(i1) = Val(Mid(m, i1 * 4 - 3, 4))
Next
For i2 = 1 To Y
B(i2) = Val(Mid(n, i2 * 4 - 3, 4))
Next
ma = X: mb = Y
MC = ma + mb
ReDim c(MC)
e1 = 0
j1 = ma: j2 = ma
For i = MC To 2 Step -1
If i <= ma Then j2 = i - 1
e = e1: e1 = 0
For j = j1 To j2
e = e + A(j) * B(i - j)
If e > 2040000000 Then '减少进位次数
e = e - 2040000000
e1 = e1 + 204000
End If
Next j
If j1 > 1 Then j1 = j1 - 1
base = 10000
d = e \ base
c(i) = e - d * base
If Len(c(i)) < 4 Then
c(i) = String(4 - Len(c(i)), "0") & c(i)
Else
c(i) = c(i)
End If
jc = c(i) & jc
e1 = e1 + d
Next i
jc = d & jc
MbC = qqdl(Trim(jc))
End Function
Private Function qqdl(sa As String) As String
'去前导0的程序
For i = 1 To Len(sa)
If Not Mid(sa, i, 1) = "0" Then
Exit For
End If
Next
strTmp = Mid(sa, i)
If Len(strTmp) = 0 Then
qqdl = "0"
Else
qqdl = strTmp
End If
End Function
Public Function MPC(D1 As String, D2 As String) As String 'jianfaqi
'减法可调用程序
Dim X, Y '两数长度
If Len(D1) >= Len(D2) Then
D4 = String(Len(D1) - Len(D2), "0") & D2
d3 = D1
Else
D4 = D2
d3 = String(Len(D2) - Len(D1), "0") & D1
End If
X = Len(d3): Y = Len(D4)
Dim A() As Integer, B1() As Integer, C1() As Integer, e1() As Integer
ReDim A(1 To X)
ReDim B1(1 To Y)
ReDim C1(1 To X)
ReDim e1(1 To X)
Dim i, j, c2, CJ, JW
For j = Y To 1 Step -1 'D2
JW = 1 'yu jie weichuzhi
B1(j) = Mid$(D4, j, 1) '每位数
For i = X To 1 Step -1 'D1
A(i) = Mid$(d3, i, 1) '每位数
C1(i) = 10 + A(i) - B1(i) - 1 + JW '计算jia
JW = C1(i) \ 10
e1(i) = C1(i) Mod 10
Next
Next
For r = 1 To X
MPC = MPC & e1(r)
For i = 1 To Len(MPC)
If Not Mid(MPC, i, 1) = "0" Then
Exit For
End If
Next
strTmp = Mid(MPC, i)
If Len(strTmp) = 0 Then
MPC = "0"
Else
MPC = strTmp
End If
Next
End Function
Public Function DeleteSpace(Tmp As String) As String
'去掉空格的程序
Dim Inst As Integer
Do
Tmp = Replace(Tmp, " ", "")
DoEvents
Inst = InStr(Tmp, " ")
Loop While Inst > 0
DeleteSpace = Tmp
End Function
Public Function MCC(D1 As String, D2 As String) As String '除数少于8位的除法
'除法可调用程序除数少于8位的
If Len(D1) < Len(D2) Then
MCC = "0" & "/" & D1
Else
If Len(D1) < 9 Then
ja = Val(D1) \ Val(D2)
If Val(D1) - (Val(D1) \ Val(D2)) * Val(D2) = 0 Then
MCC = ja
Else
MCC = ja & "/" & Val(D1) - (Val(D1) \ Val(D2)) * Val(D2)
End If
Else
Dim X 'fen duan changdu
X = Len(D1)
Dim A() As String
ReDim A(1 To X) '定义数组的储存空间
For i = 1 To X Step 1 '把被除数各位放在a()中
A(i) = Mid(D1, i, 1)
Next i
Dim B() As String
JW = 0
ReDim B(1 To X)
For j = 1 To X Step 1
B(j) = Val(JW & A(j)) \ Val(D2)
JW = Val(JW & A(j)) - Val(B(j)) * Val(D2)
Next j
For r = 1 To X
If JW = 0 Then
MCC = MCC & B(r)
Else
CJ = CJ & B(r)
MCC = CJ & "/" & JW
End If
For i = 1 To Len(MCC)
If Not Mid(MCC, i, 1) = "0" Then
Exit For
End If
Next
strTmp = Mid(MCC, i)
If Len(strTmp) = 0 Then
MCC = "0"
Else
MCC = strTmp
End If
Next
End If
End If
End Function
Public Function MPC1(D1 As String, D2 As String) As String 'jiafa
'加法可调用程序
Dim X, Y '两数长度
If Len(D1) >= Len(D2) Then
D4 = String(Len(D1) - Len(D2), "0") & D2
d3 = D1
Else
D4 = D2
d3 = String(Len(D2) - Len(D1), "0") & D1
End If
X = Len(d3): Y = Len(D4)
Dim A() As Integer, B1() As Integer, C1() As Integer, e1() As Integer
ReDim A(1 To X)
ReDim B1(1 To Y)
ReDim C1(1 To X)
ReDim e1(1 To X)
Dim i, j, c2, CJ, JW
For j = Y To 1 Step -1 'D2
JW = 0 '进位清0
B1(j) = Mid$(D4, j, 1) '每位数
For i = X To 1 Step -1 'D1
A(i) = Mid$(d3, i, 1) '每位数
C1(i) = A(i) + B1(i) + JW '计算jia
JW = C1(i) \ 10
e1(i) = C1(i) Mod 10
Next
Next
For r = 1 To X
If JW = 0 Then
MPC1 = MPC1 & e1(r)
Else
jc = jc & e1(r)
MPC1 = JW & jc
End If
Next
End Function
Private Sub Command1_Click()
Dim X, m
t = Timer
X = Trim(Text1)
m = fenjieyinzi0(Trim(X))
s = Len(X)
If InStr(m, "*") = 0 Then
Text2 = "这是素数， 有" & s & "位，用时 " & Timer - t & "秒"
Else
Text2 = "这是合数*， 有" & s & "位，用时 " & Timer - t & "秒"
End If
End Sub
Private Sub Command2_Click()
Text1 = ""
Text2 = ""
End Sub
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