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F1.bas
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F1.bas
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Sub calculate()
Worksheets("Sheet1").Activate
E = Cells(7, 2)
r = Cells(9, 2)
Nodes = 5
Main = create_matrix(Nodes * 2, Nodes * 2 + 1, 0)
For i = 0 To Nodes * 2 - 1
Main(i)(UBound(Main(0))) = Cells(2 + i, 11)
Next i
' Call print_array(Main, "prim")
Dim cordinates(4)
For i = 0 To 4
cordinates(i) = Array(Cells(2 + i, 2), Cells(2 + i, 3))
Next i
sections = Array(Array(1, 2), Array(3, 4), Array(2, 4), Array(3, 2), Array(2, 5), Array(4, 5)) ' sinの正負
Dim k_(5) As Variant
For i = 0 To 5 ' create k
k_(i) = k_factory(cordinates(sections(i)(0) - 1), cordinates(sections(i)(1) - 1), E, r)
' Call print_array(k_(i), i & "番目")
Next i
' k 代入していく、今回はuとv分かれてなくてu1v1u2v2って並んでるから詰まった
yoko = 1
step_ = 1
For i = 0 To 5
For j = 0 To 1
For k = 0 To 1
row = (sections(i)(j) - 1) * 2
col = (sections(i)(k) - 1) * 2
' MsgBox (row & " " & col)
Main(row)(col) = Main(row)(col) + k_(i)(2 * j)(2 * k)
Main(row + yoko)(col) = Main(row + yoko)(col) + k_(i)(2 * j + step_)(2 * k)
Main(row)(col + yoko) = Main(row)(col + yoko) + k_(i)(2 * j)(2 * k + step_)
Main(row + yoko)(col + yoko) = Main(row + yoko)(col + yoko) + k_(i)(2 * j + step_)(2 * k + step_)
Next k
Next j
Next i
' はきだす
big = shrink_array(Main) ' just deep copy
f = Array(Cells(5, 9) - 1, Cells(4, 9) - 1, Cells(3, 9) - 1, Cells(2, 9) - 1)
'Call print_array(Main, "掃き出前")
Main = shrink_array(shrink_array(shrink_array(shrink_array(Main, f(0), f(0)), f(1), f(1)), f(2), f(2)), f(3), f(3))
'Call print_array(Main, "ぎゅっとした後掃き出前")
Call forward_elimination(Main)
Call backward_substitution(Main)
'Call print_array(Main, "掃き出し後")
' F_output出す
Cells(2, 12) = 0
Cells(3, 12) = 0
Cells(4, 12) = Main(0)(UBound(Main(0)))
Cells(5, 12) = Main(1)(UBound(Main(0)))
Cells(6, 12) = 0
Cells(7, 12) = 0
Cells(8, 12) = Main(2)(UBound(Main(0)))
Cells(9, 12) = Main(3)(UBound(Main(0)))
Cells(10, 12) = Main(4)(UBound(Main(0)))
Cells(11, 12) = Main(5)(UBound(Main(0)))
For i = 0 To 9
num = 0
For j = 0 To 9
num = num + big(i)(j) * Cells(2 + j, 12)
Next j
Cells(2 + i, 13) = Round(num, 3)
Next i
End Sub
Function k_factory(first, second, E, r) ' takes 2 cordinates
diagonal = Sqr((second(0) - first(0)) ^ 2 + (second(1) - first(1)) ^ 2)
cos_ = (second(0) - first(0)) / diagonal
sin_ = (second(1) - first(1)) / diagonal
' MsgBox (Round(sin_, 5) & " " & Round(cos_, 5))
new_k = k_template_factory(sin_, cos_)
Pi = 4 * Atn(1)
new_k = multiply_each(new_k, E * Pi * r ^ 2 / diagonal) ' multiply by ea/l
'print_array (new_k)
k_factory = new_k
End Function
Function k_template_factory(sin_, cos_)
k = create_matrix(4, 4, 0)
k(0)(0) = cos_ ^ 2
k(0)(1) = cos_ * sin_
k(0)(2) = -1 * cos_ ^ 2
k(0)(3) = -1 * cos_ * sin_
k(1)(0) = cos_ * sin_
k(1)(1) = sin_ ^ 2
k(1)(2) = -1 * cos_ * sin_
k(1)(3) = -1 * sin_ ^ 2
k(2)(0) = -1 * cos_ ^ 2
k(2)(1) = -1 * cos_ * sin_
k(2)(2) = cos_ ^ 2
k(2)(3) = cos_ * sin_
k(3)(0) = -1 * cos_ * sin_
k(3)(1) = -1 * sin_ ^ 2
k(3)(2) = cos_ * sin_
k(3)(3) = sin_ ^ 2
k_template_factory = k
End Function
Function shrink_array(arr_, Optional row = -1, Optional col = -1)
arr = arr_
new_array_row = UBound(arr)
new_array_col = UBound(arr(0))
' row詰める
If row >= 0 Then
new_array_row = new_array_row - 1
For i = 0 To UBound(arr(0))
For j = row To UBound(arr) - 1
arr(j)(i) = arr(j + 1)(i)
Next j
Next i
End If
' col 詰める
If col >= 0 Then
new_array_col = new_array_col - 1
For i = 0 To UBound(arr)
For j = col To UBound(arr(0)) - 1
arr(i)(j) = arr(i)(j + 1)
Next j
Next i
End If
new_array = create_matrix(new_array_row + 1, new_array_col + 1)
For i = 0 To new_array_row
For j = 0 To new_array_col
new_array(i)(j) = arr(i)(j)
Next j
Next i
shrink_array = new_array
End Function
Function multiply_each(jug_array, number)
new_array = create_matrix(UBound(jug_array) + 1, UBound(jug_array(0)) + 1)
For i = 0 To UBound(jug_array)
For j = 0 To UBound(jug_array(0))
new_array(i)(j) = jug_array(i)(j) * number
Next j
Next i
multiply_each = new_array
End Function
' Create a matrix of arbitrary size (jug array)
Function create_matrix(row_size, col_size, Optional initial = "")
Dim ans, row As Variant
ans = Array()
ReDim ans(row_size - 1)
For i = 0 To row_size - 1
row = Array() ' new array Instance
ReDim row(col_size - 1)
For j = 0 To col_size - 1
row(j) = initial
Next j
ans(i) = row
Next i
create_matrix = ans
End Function
Sub print_array(arr, Optional msg As String)
Debug.Print ("--")
For i = 0 To UBound(arr)
tmp = ""
For j = 0 To UBound(arr(0))
'tmp = tmp & arr(i)(j) & " "
tmp = tmp & Round(arr(i)(j), 4) & " "
Next j
Debug.Print (tmp)
Next i
Debug.Print ("--- " & Now & " " & msg & " ---")
End Sub
Sub forward_elimination(arr)
For i = 0 To UBound(arr)
Key = arr(i)(i)
For j = 0 To UBound(arr(0)) - i
' divide each element with key
arr(i)(j + i) = arr(i)(j + i) / Key
Next j
For k = i + 1 To UBound(arr)
num = arr(k)(i)
For L = i To UBound(arr(0))
arr(k)(L) = arr(k)(L) - arr(i)(L) * num
Next L
Next k
Next i
End Sub
Sub backward_substitution(arr)
For i = UBound(arr) To 1 Step -1
For j = i To 1 Step -1
Key = arr(j - 1)(i)
For k = UBound(arr(0)) To i Step -1
arr(j - 1)(k) = arr(j - 1)(k) - arr(i)(k) * Key
Next k
Next j
Next i
End Sub
' reset area
Sub reset_area()
Dim SheetName As String
SheetName = "Sheet1"
Sheets(SheetName).Range("L4", "L5").ClearContents
Sheets(SheetName).Range("L8", "L12").ClearContents
Sheets(SheetName).Range("M2", "M12").ClearContents
End Sub