[分享]绝对随机网点分布（excel之vba） [复制链接]

想学习的请研究下，直接给程序就没意思了，由于公司想做一套导光板的模具，没有现成的软件可用，就自己做了较简单的程序，虽然简单，但基本功能已经满足了导光板网点设计的要求；具备功能：任意多边形区域；含有光轴，且可以根据光源调整；网点密度可沿光轴方向调整，效果图如下： C4],7"Sw  
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关键点说几个： w~a^r]lPW
 
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） /%9D$\  
2.需要定义光轴的方向；简便的方法就是指定光源坐标，及网点区域坐标，这样光轴就确定了 )z-)S  
3.网点区域密度可调；把区域分成若干小块，每块的密度不同即可 0xrr9X<  

以下是几个重要的函数： s.I%[kada  
1.判断点在区域中函数
kcKcIn{  
2.计算夹角函数 q`z/ S>  
3.转置函数 H-A?F^#  
4.得到区域中心点，及区域半径函数 0"7%*n."2  
5.再有就是若干个点抽取其中一部分；或者采用随机分布（该方法会有重合点，所以没采用） ^Gt&c_gH  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Q^X  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ~_opU(;f  
   cax = x2 - x1 i ,Cvnp6Lv  
   cay = y2 - y1 ,5oe8\uz  
   cbx = x2 - x3 Yt&Isi +  
   cby = y2 - y3 zQ3
m@x  
   mo_jj = cax * cbx + cay * cby $/;D8P5/&=  
   mo_ca = Sqr(cax * cax + cay * cay) fB^h2  
   mo_cb = Sqr(cbx * cbx + cby * cby) V/|).YG2  
   cos_acb = mo_jj / (mo_ca * mo_cb) ta"uxL\gge  
   'ff_cos = cos_acb xi['knUi2-  
   If cos_acb >= 1 Then 0_'(w;!wq:  
   nn = 0 F5UvD[i  
   ElseIf cos_acb <= -1 Then rk$&sDc/3  
   nn = 3.14159265258979 3FRz&FS:j  
   Else "fK`F/  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) {gh41G;n  
   End If Z9X<W`  
   'ff_angle = nn Fp'qn'){:#  
   ff_angle = nn * 180 / 3.14159265258979 @>`+eg][?P  
End Function

'判断点在区域内函数 ?88k`T'EI  
Function point_in(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single, ppx As Single, ppy As Single) As Boolean >,c$e' h  
Dim aob, boc, cod, doa, sum As Single eu=G[>  
  If ppx = p1x And ppy = p1y Then ]0N'Wtbn  
     point_in = True &\<!{Y<'  
     Exit Function 337
y,;  
  End If i%BrnjX  
  If ppx = p2x And ppy = p2y Then ,TeJx+z^  
     point_in = True 6oTWW@  
     Exit Function rJLn=|uR  
  End If m]H[$Q  
   If ppx = p3x And ppy = p3y Then L8OW@)|  
     point_in = True 5)712b(&  
     Exit Function UN ;9h9  
  End If 1.S7MSpTV  
     lMkDLobos  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) WFWQ;U{|  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) +'fy%/  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) R7)\wP*l5  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) _#[~?g`  
    sum = aob + boc + cod + doa ed3d 6/%HR  
    If 360.01 > sum And sum > 359.99 Then +_^Rxx!XA  
       point_in = True )m8ve)l  
    Else DI9hy/T(  
       point_in = False b1+6I_u.  
    End If t<~WDI|AN  
End Function

'得到点半径,得到交点坐标函数 !-G'8a|7  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() C\-Abqc  
    '求得中心点坐标 cb36~{  
Dim tt As String k8>(-W"A  
Dim rt(3) As Single 9gu$vF]9!  
    '判断是否平行 M.DU^
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   acx = p3x - p1x f/1soGA  
   acy = p3y - p1y U2Uf69R  
   bdx = p4x - p2x  ywQ>T+  
   bdy = p4y - p2y 4}i2j  
   If acx * bdy = acy * bdx Then @.rVg XE=!  
      rt(0) = 0 WUC-*(  
      Exit Function :ik$@5wp  
   Else gK&MdF*  
      '判断斜率存在否 [G.4S5FX.]  
      If p1x = p3x And p2x <> p4x Then xXa* d  
         tt = "ac_n_bd_y" B: '}S
A{  
      ElseIf p1x <> p3x And p2x = p4x Then Z`_`^ \"  
         tt = "ac_y_bd_n" m7~<z>5$  
      ElseIf p1x <> p3x And p2x <> p4x Then ]YQ!i@Y  
         tt = "ac_y_bd_y" #9R[%R7Nz  
      End If 4[\$3t.L
 
    Select Case tt 5,Q3#f~!  
         Case "ac_n_bd_y" 7z.(pg=  
            'bd线段方程 /mdPYV  
            k_bd = bdy / bdx
YwbRzY-#F  
            b_bd = p2y - k_bd * p2x C]X:@^Hy  
            p_x = p1x O?p8Gjf  
            p_y = k_bd * p_x + b_bd X jJV  
         Case "ac_y_bd_n" Z`FEB0$  
            'ac线段方程 B #[URZ9S  
            k_ac = acy / acx Y 6NoNc]h  
            b_ac = p1y - k_ac * p1x Nu/D$m'PY  
            p_x = p2x fG *1A\t]  
            p_y = k_ac * p_x + b_ac tEU}?k+:j)  
        Case "ac_y_bd_y" \hlQu{q.  
           'ac，bd线段都要求 Gky e  
           k_ac = acy / acx 3CKd[=-Z  
           b_ac = p1y - k_ac * p1x Ffvv8x  
           k_bd = bdy / bdx ?MW*`U  
           b_bd = p2y - k_bd * p2x "7]YvZYu0  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac)  <>|&%gmz  
           p_y = k_ac * p_x + b_ac zRO-oOJ  
        End Select >e g8zN  
      rt(1) = p_x /J0Y
F  
      rt(2) = p_y (31ia"i%  
     z;c~(o@4  
'计算最大半径 ^)JUl!5j]C  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) gY\g+df-  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) sIM^e  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) .Mn_T*F  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) `6R.*hq  
Dim bb(5) As Single -\6";_Y  
  bb(1) = rr1 BLepCF38  
  bb(2) = rr2 \d"uR@$3mG  
  bb(3) = rr3 F!>92H~3G  
  bb(4) = rr4 .C6wsmQ  
  nb = rr1 I.4o9Z[?  
For i = 1 To 4 iY|zv|;]=  
    If nb <= bb(i) Then LTn@OhC  
       nb = bb(i)  (0wQ [(  
    End If ^R g=*L  
Next i wqB 5KxO  
    rt(0) = Sqr(nb) nnzfKn:J  
    rr = rt() 6w?l I  
  End If jX9{Ki"  
         46yq F  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  &Q>tV+*  

fqY;>Z  
有热压工艺方面的人才或者资料分享下； rgK:ujzW!  
我公司主要做透镜类产品，现在有客户要审核我公司的导光膜工艺，头疼 Q,`R-?v  

高手真多！

楼主威武霸气.