d11r10.frm

方程组的矩阵解法

VERSION 5.00
Begin VB.Form Form1 
   Caption         =   "Form1"
   ClientHeight    =   3675
   ClientLeft      =   60
   ClientTop       =   345
   ClientWidth     =   4680
   LinkTopic       =   "Form1"
   ScaleHeight     =   3675
   ScaleWidth      =   4680
   StartUpPosition =   3  'Windows Default
   Begin VB.CommandButton Command1 
      Caption         =   "Command1"
      Height          =   375
      Left            =   3000
      TabIndex        =   0
      Top             =   3000
      Width           =   1215
   End
End
Attribute VB_Name = "Form1"
Attribute VB_GlobalNameSpace = False
Attribute VB_Creatable = False
Attribute VB_PredeclaredId = True
Attribute VB_Exposed = False
Private Sub Command1_Click()
    'PROGRAM D11R10
    'Driver for routine KSONE
    NPTS = 1000
    EPS = 0.1
    Dim DATA(1000)
    IDUM = -5
    Print
    Print Tab(5); "Variance Ratio   K-S Statistic   Probability"
    For I = 1 To 11
        Var = 1# + (I - 1) * EPS
        FACTR = Sqr(Var)
        For J = 1 To NPTS
            DATA(J) = FACTR * Abs(GASDEV(IDUM))
        Next J
        Call KSONE(DATA(), NPTS, D, PROB)
        Print Tab(8); Format$(Var, "#.#####0");
        Print Tab(23); Format$(D, "#.#####0");
        Print Tab(39); Format$(PROB, ".####E+00")
    Next I
End Sub
Function FUNC(X)
    Y = X / Sqr(2#)
    FUNC = ERF(Y)
End Function
Sub KSONE(DATA(), N, D, PROB)
    Call SORT(N, DATA())
    EN = N
    D = 0#
    FO = 0#
    For J = 1 To N
        FQ = J / EN
        FF = FUNC(DATA(J))
        DT = Abs(FO - FF)
        If Abs(FQ - FF) > DT Then DT = Abs(FQ - FF)
        If DT > D Then D = DT
        FO = FQ
    Next J
    PROB = PROBKS(Sqr(EN) * D)
End Sub
Sub SORT(N, RA())
      L = Int(N / 2) + 1
      IR = N
      Do
          If L > 1 Then
            L = L - 1
            RRA = RA(L)
          Else
            RRA = RA(IR)
            RA(IR) = RA(1)
            IR = IR - 1
            If IR = 1 Then
              RA(1) = RRA
              Exit Sub
            End If
          End If
          I = L
          J = L + L
          While J <= IR
            If J < IR Then
              If RA(J) < RA(J + 1) Then J = J + 1
            End If
            If RRA < RA(J) Then
              RA(I) = RA(J)
              I = J
              J = J + J
            Else
              J = IR + 1
            End If
          Wend
          RA(I) = RRA
      Loop
End Sub
   Function GASDEV(IDUM)
      Static ISET, GSET
      If ISET = 0 Then
        Do
          Randomize
          V1 = 2# * Rnd - 1#
          V2 = 2# * Rnd - 1#
          R = V1 ^ 2 + V2 ^ 2
        Loop While R >= 1# Or R = 0
        FAC = Sqr(-2# * Log(R) / R)
        GSET = V1 * FAC
        GASDEV = V2 * FAC
        ISET = 1
      Else
        GASDEV = GSET
        ISET = 0
      End If
   End Function
Function PROBKS(ALAM)
 EPS1 = 0.001
      EPS2 = 0.00000001
      A2 = -2# * ALAM ^ 2
      FAC = 2#
      PROBKS = 0#
      TERMBF = 0#
      For J = 1 To 100
          TERM = FAC * Exp(A2 * J ^ 2)
          PROBKS = PROBKS + TERM
          AAA = Abs(TERM)
          If AAA < EPS1 * TERMBF Or AAA < EPS2 * PROBKS Then
              Exit Function
          End If
          FAC = -FAC
          TERMBF = Abs(TERM)
      Next J
      PROBKS = 1#
End Function
Function ERF(X)
      If X < 0# Then
          ERF = -GAMMP(0.5, X ^ 2)
      Else
          ERF = GAMMP(0.5, X ^ 2)
      End If
End Function
   Function GAMMP(A, X)
      If X < 0# Or A <= 0# Then
         Print "PAUSE"
         Exit Function
      End If
      If X < A + 1# Then
          Call GSER(GAMSER, A, X, GLN)
          GAMMP = GAMSER
      Else
          Call GCF(GAMMCF, A, X, GLN)
          GAMMP = 1# - GAMMCF
      End If
   End Function
   Sub GCF(GAMMCF, A, X, GLN)
      ITMAX = 100
      EPS = 0.0000003
      GLN = GAMMLN(A)
      GOLD = 0#
      A0 = 1#
      A1 = X
      B0 = 0#
      B1 = 1#
      FAC = 1#
      For N = 1 To ITMAX
          AN = N

          ANA = AN - A
          A0 = (A1 + A0 * ANA) * FAC
          B0 = (B1 + B0 * ANA) * FAC
          ANF = AN * FAC
          A1 = X * A0 + ANF * A1
          B1 = X * B0 + ANF * B1
          If A1 <> 0# Then
              FAC = 1# / A1
              G = B1 * FAC
              If Abs((G - GOLD) / G) < EPS Then GoTo 1
              GOLD = G
          End If
      Next N
      Print "A too large, ITMAX too small"
1     GAMMCF = Exp(-X + A * Log(X) - GLN) * G
   End Sub
   Function GAMMLN(XX)
      Dim COF(6)
      COF(1) = 76.18009173
      COF(2) = -86.50532033
      COF(3) = 24.01409822
      COF(4) = -1.231739516
      COF(5) = 0.00120858003
      COF(6) = -0.00000536382
      STP = 2.50662827465
      HALF = 0.5
      ONE = 1#
      FPF = 5.5
      X = XX - ONE
      TMP = X + FPF
      TMP = (X + HALF) * Log(TMP) - TMP
      SER = ONE
      For J = 1 To 6
          X = X + ONE
          SER = SER + COF(J) / X
    Next J
      GAMMLN = TMP + Log(STP * SER)
   End Function
   Sub GSER(GAMSER, A, X, GLN)
      ITMAX = 100
      EPS = 0.0000003
      GLN = GAMMLN(A)
      If X <= 0# Then
          If X < 0# Then
             Print " PAUSE"
             Exit Sub
          End If
          GAMSER = 0#
          Exit Sub
      End If
      AP = A
      Sum = 1# / A
      DEL = Sum
      For N = 1 To ITMAX
          AP = AP + 1#
          DEL = DEL * X / AP
          Sum = Sum + DEL
          If Abs(DEL) < Abs(Sum) * EPS Then GoTo 1
      Next N
      Print "A too large, ITMAX too small"
1     GAMSER = Sum * Exp(-X + A * Log(X) - GLN)
   End Sub