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📄 jiefangc.frm

📁 采用最新算法计算一元三次方程 该法不是使用迭代进行计算 而是使用盛金公式进行计算 能准确的计算出三个跟
💻 FRM
字号:
VERSION 5.00
Begin VB.Form Form1 
   Caption         =   "Form1"
   ClientHeight    =   8205
   ClientLeft      =   60
   ClientTop       =   450
   ClientWidth     =   8805
   LinkTopic       =   "Form1"
   ScaleHeight     =   8205
   ScaleWidth      =   8805
   StartUpPosition =   3  '窗口缺省
   Begin VB.TextBox Text9 
      Height          =   615
      Left            =   5280
      TabIndex        =   20
      Top             =   6240
      Width           =   2295
   End
   Begin VB.TextBox Text8 
      Height          =   615
      Left            =   5280
      TabIndex        =   16
      Top             =   5280
      Width           =   2295
   End
   Begin VB.TextBox Text7 
      Height          =   615
      Left            =   1200
      TabIndex        =   14
      Top             =   6120
      Width           =   3495
   End
   Begin VB.CommandButton Command1 
      Caption         =   "解一元三次方程"
      Height          =   2895
      Left            =   6840
      TabIndex        =   12
      Top             =   1080
      Width           =   1575
   End
   Begin VB.TextBox Text6 
      Height          =   735
      Left            =   1200
      TabIndex        =   11
      Top             =   5280
      Width           =   3495
   End
   Begin VB.TextBox Text5 
      Height          =   735
      Left            =   1200
      TabIndex        =   9
      Top             =   4080
      Width           =   3255
   End
   Begin VB.TextBox Text4 
      Height          =   615
      Left            =   1200
      TabIndex        =   7
      Top             =   3240
      Width           =   3135
   End
   Begin VB.TextBox Text3 
      Height          =   615
      Left            =   1200
      TabIndex        =   5
      Top             =   2280
      Width           =   3135
   End
   Begin VB.TextBox Text2 
      Height          =   615
      Left            =   1080
      TabIndex        =   3
      Top             =   1200
      Width           =   3255
   End
   Begin VB.TextBox Text1 
      Height          =   615
      Left            =   1080
      TabIndex        =   1
      Top             =   120
      Width           =   3375
   End
   Begin VB.Label Label12 
      Caption         =   "d="
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   36
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   735
      Left            =   240
      TabIndex        =   19
      Top             =   3120
      Width           =   615
   End
   Begin VB.Label Label10 
      Caption         =   "i"
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   42
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   -1  'True
         Strikethrough   =   0   'False
      EndProperty
      Height          =   735
      Left            =   7800
      TabIndex        =   18
      Top             =   6120
      Width           =   735
   End
   Begin VB.Label Label9 
      Caption         =   "i"
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   42
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   -1  'True
         Strikethrough   =   0   'False
      EndProperty
      Height          =   855
      Left            =   7800
      TabIndex        =   17
      Top             =   5040
      Width           =   735
   End
   Begin VB.Label Label8 
      Caption         =   "+"
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   42
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   735
      Left            =   4800
      TabIndex        =   15
      Top             =   6120
      Width           =   495
   End
   Begin VB.Label Label7 
      Caption         =   "+"
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   36
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   615
      Left            =   4680
      TabIndex        =   13
      Top             =   5280
      Width           =   615
   End
   Begin VB.Label Label6 
      Caption         =   "X3="
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   36
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   615
      Left            =   120
      TabIndex        =   10
      Top             =   6120
      Width           =   1215
   End
   Begin VB.Label Label5 
      Caption         =   "X2="
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   36
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   615
      Left            =   120
      TabIndex        =   8
      Top             =   5160
      Width           =   975
   End
   Begin VB.Label Label4 
      Caption         =   "X1="
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   36
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   615
      Left            =   120
      TabIndex        =   6
      Top             =   4080
      Width           =   1095
   End
   Begin VB.Label Label3 
      Caption         =   "c="
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   42
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   855
      Left            =   120
      TabIndex        =   4
      Top             =   2160
      Width           =   855
   End
   Begin VB.Label Label2 
      Caption         =   "b="
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   42
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   855
      Left            =   120
      TabIndex        =   2
      Top             =   1080
      Width           =   855
   End
   Begin VB.Label Label1 
      Caption         =   "a="
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   42
         Charset         =   134
         Weight          =   400
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   975
      Left            =   120
      TabIndex        =   0
      Top             =   0
      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()
Dim a#, b#, c#, d#, A1#, B1#, C1#, D1, X1#, X2#, X3#, X2i#, X3i#, Y1#, Y2#, k#, T#, r#, j1#, j2#

a = Text1.Text
b = Text2.Text
c = Text3.Text
d = Text4.Text
If b = c And c = d And d = 0 Then
 X1 = 0
 X2 = X1
 X3 = X2
 X2i = 0
 X3i = 0
 GoTo G
 End If
 

A1 = b ^ 2 - 3 * a * c
B1 = b * c - 9 * a * d
C1 = c ^ 2 - 3 * b * d
j1 = B1 ^ 2
j2 = 4 * A1 * C1

D1 = B1 ^ 2 - 4 * A1 * C1
D1 = j1 - j2
If D1 > 0 Then
Y1 = A1 * b + 1.5 * a * (-B1 - D1 ^ 0.5)  '正确
Y2 = A1 * b + 1.5 * a * (-B1 + D1 ^ 0.5) '正确
GoTo L

Else: GoTo s
End If
s:
If A1 = B1 And A1 = 0 Then

X1 = -c / b '正确
X2 = X1
X3 = X1 '正确
X2i = 0
X3i = 0
ElseIf D1 = 0 Then
k = B1 / A1

      X1 = -b / a + k '正确
      X2 = -0.5 * k '正确
      X3 = X2 '正确
      X2i = 0
X3i = 0
ElseIf D1 < 0 Then
   T = (2 * A1 * b - 3 * a * B1) * (A1 ^ 0.5) / (2 * A1 * A1) '正确
   r = Atn(-T / Sqr(-T * T + 1)) + 2 * Atn(1) '正确
   X1 = (-b - 2 * (A1 ^ 0.5) * Cos(r / 3)) / (3 * a) '正确
   X2 = (-b + (A1 ^ 0.5) * (Cos(r / 3) - (3 ^ 0.5) * Sin((r / 3)))) / (3 * a) '正确
   X3 = (-b + (A1 ^ 0.5) * (Cos(r / 3) + (3 ^ 0.5) * (Sin(r / 3)))) / (3 * a) '正确
   X2i = 0
X3i = 0

   End If
GoTo G



L:
If Y1 < 0 And Y2 < 0 Then

 X1 = (-b - (-(-Y1) ^ (1 / 3) - (-Y2) ^ (1 / 3))) / (3 * a) '正确
 X2 = (-b + 0.5 * (-(-Y1) ^ (1 / 3) - (-Y2) ^ (1 / 3))) / (3 * a) '正确
 X3 = (-b + 0.5 * (-(-Y1) ^ (1 / 3) - (-Y2) ^ (1 / 3))) / (3 * a) '正确
 X2i = -((3 ^ 0.5) / 2) * (-(-Y1) ^ (1 / 3) + (-Y2) ^ (1 / 3)) / (3 * a) '正确
 X3i = ((3 ^ 0.5) / 2) * (-(-Y1) ^ (1 / 3) + (-Y2) ^ (1 / 3)) / (3 * a) '正确

 
ElseIf Y1 < 0 And Y2 > 0 Then

   
X1 = (-b - (-(-Y1) ^ (1 / 3) + (Y2) ^ (1 / 3))) / (3 * a)    '正确
 X2 = (-b + 0.5 * (-(-Y1) ^ (1 / 3) + (Y2) ^ (1 / 3))) / (3 * a) '正确
 X3 = (-b + 0.5 * (-(-Y1) ^ (1 / 3) + (Y2) ^ (1 / 3))) / (3 * a)
 X2i = -((3 ^ 0.5) / 2) * (-(-Y1) ^ (1 / 3) - (Y2) ^ (1 / 3)) / (3 * a) '正确
 X3i = ((3 ^ 0.5) / 2) * (-(-Y1) ^ (1 / 3) - (Y2) ^ (1 / 3)) / (3 * a) '正确
 ElseIf Y1 > 0 And Y2 < 0 Then
 X1 = (-b - ((Y1) ^ (1 / 3) - (-Y2) ^ (1 / 3))) / (3 * a) '正确
 X2 = (-b + 0.5 * ((Y1) ^ (1 / 3) - (-Y2) ^ (1 / 3))) / (3 * a) '正确
 X3 = (-b + 0.5 * ((Y1) ^ (1 / 3) - (-Y2) ^ (1 / 3))) / (3 * a) '正确
 X2i = -((3 ^ 0.5) / 2) * ((Y1) ^ (1 / 3) + (-Y2) ^ (1 / 3)) / (3 * a) '正确
 X3i = ((3 ^ 0.5) / 2) * ((Y1) ^ (1 / 3) + (-Y2) ^ (1 / 3)) / (3 * a) '正确
 Else
 X1 = (-b - ((Y1) ^ (1 / 3) + (Y2) ^ (1 / 3))) / (3 * a) '正确
 X2 = (-b + 0.5 * ((Y1) ^ (1 / 3) + (Y2) ^ (1 / 3))) / (3 * a) '正确
 X3 = (-b + 0.5 * ((Y1) ^ (1 / 3) + (Y2) ^ (1 / 3))) / (3 * a)
 X2i = -((3 ^ 0.5) / 2) * ((Y1) ^ (1 / 3) - (Y2) ^ (1 / 3)) / (3 * a) '正确
 X3i = ((3 ^ 0.5) / 2) * ((Y1) ^ (1 / 3) - (Y2) ^ (1 / 3)) / (3 * a) '正确
 End If
G:
 Text5.Text = X1
Text6.Text = X2
Text7.Text = X3
Text8.Text = X2i
Text9.Text = X3i
 


End Sub

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