工作表的形状集合中形状的索引是否总是与其 ZOrderPosition 相同?(原则上不能直接查询给定形状的索引)。
我已经证实在少数情况下这是正确的(最多 3000 个形状),但我没有找到关于此的文档。
我遍历了整个集合,询问 Index 和 ZOrderPosition 之间可能存在的差异:
Sub dump_shapes()
' Dump information on all shapes in a Shapes collection
Dim shc As Shapes
Set shc = ActiveSheet.Shapes
Dim shp As Shape
For Each shp In shc
Dim sh2 As Shape
Set sh2 = sh2idxzosh_shc(shp)
Dim zoidx As Long
' The second argument is not actually the Index, but since we are traversing the
' whole collection, and Index and ZOrderPosition are at most permutations, we are
' covering all of the possible Indexes.
zoidx = idx2zo_shc(shc, shp.ZOrderPosition)
Next shp
End Sub
用于查询的函数如下所示。由于 MsgBox 中的警告从未弹出,这意味着对于评估的案例,Index=ZOrderPosition。
' Functions between the set of shapes S and the set of natural numbers N.
' O=ZOrderPosition : S -> N (function exists)
' D=From Index : N -> S (function exists)
' D^-1=Index : S -> N (function does not exist)
' f=OoD : N -> N (can be constructed; this is expected to be only a permutation,
' i.e., bijective)
' g=DoO : S -> S (can be constructed)
Function sh2idxzosh_shc(ByRef sh As Shape) As Shape
Dim shc As Shapes
Set shc = sh.Parent.Shapes
Dim zo As Long
zo = sh.ZOrderPosition
Dim sh2 As Shape
Set sh2 = shc(zo)
' g=DoO : S -> S
' Test Shape : g(S)=S for all s? If so, g=DoO=I ; D=O^-1 ; D^-1=O. Thus, the Index
' is equal to the ZOrderPosition.
' Use ZOrderPosition to test Shape : O(g(s))=O(s) for all s? I.e., OoDoO=O? If so,
' given that O is bijective, OoD=I ; D=O^-1 ; D^-1=O. Thus, the index is equal to
' the ZOrderPosition.
Dim zo2 As Long
zo2 = sh2.ZOrderPosition
If (zo2 <> zo) Then
MsgBox ("Compound ZOrderPosition: " & zo2 & ", ZOrderPosition: " & zo)
End If
Set sh2idxzosh_shc = sh2
'Set sh2 = Nothing
End Function
Function idx2zo_shc(ByRef shc As Shapes, idx As Long) As Integer
Dim sh As Shape
Set sh = shc(idx)
Dim zo As Long
zo = sh.ZOrderPosition
' f=OoD : N -> N
' Test index : f(i)=i for all i? If so, f=OoD=I ; D=O^-1 ; D^-1=O. Thus, the Index is
' equal to the ZOrderPosition.
If (zo <> idx) Then
MsgBox ("Index: " & idx & ", ZOrderPosition: " & zo)
End If
idx2zo_shc = zo
End Function
PS:我已经对Worksheet的ChartObjects集合的函数进行了适配,也验证了等价Index=ZOrder。
PS2:有人可能会问,这是否是任何收藏的典型(甚至是保证)。在Excel VBA:Shapes 集合中 ZOrderPosition 的非连续编号我报告了一种情况,不仅这是不正确的,而且 Index 和 ZOrderPosition 甚至都不是排列(请注意,它是与 ChartObject 关联的 Shape 的 Shapes 集合,a情况与上述不同)。