[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： s'Wu \r'  
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图片:2.jpg

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关键点说几个： Cu&y',ee~  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） *~SanL
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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 w9]HJ3qi  
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 iininITOS{  

以下是几个重要的函数： <e'/z3TbRW  
1.判断点在区域中函数 1'4?}0Dok  
2.计算夹角函数 !hWS%m@  
3.转置函数 51-@4E2:l:  
4.得到区域中心点，及区域半径函数 =k^ d5  
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） v@ifB I  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 F4DJM
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Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single .s-*aoj  
   cax = x2 - x1 q1pB~eg5  
   cay = y2 - y1 l/-qVAd!q  
   cbx = x2 - x3 F[KM0t!  
   cby = y2 - y3 .H 9r_  
   mo_jj = cax * cbx + cay * cby [P*zm8b  
   mo_ca = Sqr(cax * cax + cay * cay) L(o#)I>j  
   mo_cb = Sqr(cbx * cbx + cby * cby) %E2V$l0  
   cos_acb = mo_jj / (mo_ca * mo_cb) 21[=xboU  
   'ff_cos = cos_acb Y^tUc
Bm\  
   If cos_acb >= 1 Then {PKf]m  
   nn = 0 *I.eCMDa  
   ElseIf cos_acb <= -1 Then Q6;bORN  
   nn = 3.14159265258979 [JYy  
   Else 4^T_" W}  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) W:>XXUU  
   End If {t!Pv2y<  
   'ff_angle = nn moRo>bvN~  
   ff_angle = nn * 180 / 3.14159265258979 ^h!}jvqE  
End Function

'判断点在区域内函数 VS3lz?o?6g  
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 [>KnMi=o)  
Dim aob, boc, cod, doa, sum As Single Pk>S;KT.  
  If ppx = p1x And ppy = p1y Then 1`GW>ZKv  
     point_in = True L7[f-cK2:  
     Exit Function liMw(F2  
  End If @r=,: 'Mt  
  If ppx = p2x And ppy = p2y Then 5zOC zm  
     point_in = True TE:|w Xe  
     Exit Function m48Ab`  
  End If Mm;[f'{M)  
   If ppx = p3x And ppy = p3y Then NOmFQ)/ &  
     point_in = True CEAmb[h  
     Exit Function !j%uwje\  
  End If 3YG%YhevO  
     $]rC-K:Z  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ]k8f1F  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) UF$O@l  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) ~n$\[rQ  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) A76HM@Q  
    sum = aob + boc + cod + doa C3'?E<F  
    If 360.01 > sum And sum > 359.99 Then Tp|>(~;ai  
       point_in = True H@b4(6  
    Else j2%fAs<  
       point_in = False ^B1$|C D,  
    End If `O5427Im  
End Function

'得到点半径,得到交点坐标函数 Wt=\hixj-  
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() upZtVdd  
    '求得中心点坐标 %w?C)$Kn\  
Dim tt As String $f%om)  
Dim rt(3) As Single E]}_hZU  
    '判断是否平行 :5BCW68le  
   acx = p3x - p1x 56
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   acy = p3y - p1y |o+*Iy)  
   bdx = p4x - p2x B3pjli  
   bdy = p4y - p2y bDm7$ (  
   If acx * bdy = acy * bdx Then s4QCun~m  
      rt(0) = 0 Lz!JLiMEET  
      Exit Function wWSo+40  
   Else ns*:mGh  
      '判断斜率存在否 &er,Wyc(  
      If p1x = p3x And p2x <> p4x Then 8]oolA:^4s  
         tt = "ac_n_bd_y" @biU@[D  
      ElseIf p1x <> p3x And p2x = p4x Then 9aNOfs8(  
         tt = "ac_y_bd_n" Ql%B=vgKL  
      ElseIf p1x <> p3x And p2x <> p4x Then Zd88+GS,#  
         tt = "ac_y_bd_y" V%z?wDC  
      End If D/JSIDd  
    Select Case tt VN(*m(b  
         Case "ac_n_bd_y" I9Uj3cL\  
            'bd线段方程 ;mRZ_^V;  
            k_bd = bdy / bdx kDXQpe  
            b_bd = p2y - k_bd * p2x (> _Lb  
            p_x = p1x #oR`_Dm)P  
            p_y = k_bd * p_x + b_bd \<\H1;=.@'  
         Case "ac_y_bd_n" 'MBXk2?b  
            'ac线段方程 ca3SE^  
            k_ac = acy / acx N&eo;Ti  
            b_ac = p1y - k_ac * p1x \yZVn6GVr  
            p_x = p2x JWYe~  
            p_y = k_ac * p_x + b_ac H XF
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        Case "ac_y_bd_y" 6yO5{._M  
           'ac，bd线段都要求 #p7gg61  
           k_ac = acy / acx 4w#2m>.  
           b_ac = p1y - k_ac * p1x sp MYn&p  
           k_bd = bdy / bdx 0kNKt(_  
           b_bd = p2y - k_bd * p2x Kn<+Au_]L  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) wy .96  
           p_y = k_ac * p_x + b_ac }2;iIw`  
        End Select xm1'  
      rt(1) = p_x
4/k`gT4  
      rt(2) = p_y +2}cR66%  
     !>D[Y  
'计算最大半径 H(tC4'tA  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) Qe\vx1GRLH  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) lM}-'8tt?  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) `/'p1?Z"  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) |cP:1CRzi  
Dim bb(5) As Single l U8pX$  
  bb(1) = rr1 [f! { -T  
  bb(2) = rr2 rfYa<M Qc  
  bb(3) = rr3 %p$XK(6  
  bb(4) = rr4 de)4)EzUP  
  nb = rr1 [7d(PEQL`  
For i = 1 To 4 %8h=_(X\7  
    If nb <= bb(i) Then 6wj o:I  
       nb = bb(i) S9]I[4  
    End If \Vroz=IT:  
Next i h#KSKKNW  
    rt(0) = Sqr(nb) c61OT@dZEA  
    rr = rt() 8)=(
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  End If iw=e"6V  
         2O*At%CzW  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  B!,&{[D  

(wq8[1Wzup  
有热压工艺方面的人才或者资料分享下； @(35I  
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 ]r0j  

高手真多！

楼主威武霸气.