[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： V!XT=Ou?6  
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关键点说几个： %k8H
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1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） L';b908r2  
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 ]A%S&q  
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 -rXo}I,VI  

以下是几个重要的函数： PrwMR_-  
1.判断点在区域中函数 +@5@`"Jry  
2.计算夹角函数 ~V`F5B  
3.转置函数 8Vf]K}d  
4.得到区域中心点，及区域半径函数 Qi?xx')  
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） +ia N[F$  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数
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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 Vh o3I[C  
   cax = x2 - x1 KsR^:_e  
   cay = y2 - y1 SGK=WLGM
8  
   cbx = x2 - x3 [:xpz,  
   cby = y2 - y3 b$O1I[o  
   mo_jj = cax * cbx + cay * cby \Ng|bWR>LQ  
   mo_ca = Sqr(cax * cax + cay * cay) j$Unw  
   mo_cb = Sqr(cbx * cbx + cby * cby) %*Aq%,.={  
   cos_acb = mo_jj / (mo_ca * mo_cb) tLc9-  
   'ff_cos = cos_acb x}(p\Efx  
   If cos_acb >= 1 Then GL-r;  
   nn = 0 #\LsM ~,  
   ElseIf cos_acb <= -1 Then eT<T[; m  
   nn = 3.14159265258979 B$)&;Q  
   Else |WMP_sGn  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) sPoH12?AL  
   End If V3] Z~@  
   'ff_angle = nn ZL{\M|@jz  
   ff_angle = nn * 180 / 3.14159265258979 ,R8:Y*@P  
End Function

'判断点在区域内函数 }US^GEs(  
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 //W7$DYEG  
Dim aob, boc, cod, doa, sum As Single L28DBjE)A  
  If ppx = p1x And ppy = p1y Then XzV:q!e-  
     point_in = True fO'"UI  
     Exit Function SuuLB6{u3  
  End If $V?h68[c  
  If ppx = p2x And ppy = p2y Then wr+r J  
     point_in = True L%sskV(  
     Exit Function XI"8d.VR  
  End If IA&NMf;{  
   If ppx = p3x And ppy = p3y Then qo^PS  
     point_in = True ^w1&A3=6  
     Exit Function zFpM\{`[g  
  End If gLGu#6YVu  
     ?9I=XTR  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) Fu;\t 0  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) %hM8px4d  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) @UgZZ  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y)
dvLO#o{  
    sum = aob + boc + cod + doa  h|Z%b_a  
    If 360.01 > sum And sum > 359.99 Then b IZuZF>*  
       point_in = True Jq8CII  
    Else Q^c)T>OAI  
       point_in = False -o`Eka!ELz  
    End If yR|Beno  
End Function

'得到点半径,得到交点坐标函数 #Y9'n0 AL  
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() czH`a=mjH  
    '求得中心点坐标 CRKuN  
Dim tt As String -hjGPu  
Dim rt(3) As Single ~lSdWUk>  
    '判断是否平行 `5$B"p&i  
   acx = p3x - p1x e_iXR#bZc  
   acy = p3y - p1y gs?=yNL  
   bdx = p4x - p2x iJH;OV;P  
   bdy = p4y - p2y ZBX,4kxK7  
   If acx * bdy = acy * bdx Then sb^%eUU])  
      rt(0) = 0 BEfp3|Stb  
      Exit Function W{6%Hhp  
   Else 0w24lVR
.  
      '判断斜率存在否 |#x]FNg  
      If p1x = p3x And p2x <> p4x Then F9Y/Z5 Ea  
         tt = "ac_n_bd_y" k 6)ThIG  
      ElseIf p1x <> p3x And p2x = p4x Then n@"h^-  
         tt = "ac_y_bd_n" gXzp$#  
      ElseIf p1x <> p3x And p2x <> p4x Then :% o32  
         tt = "ac_y_bd_y" !~Am1\02  
      End If 2S`D7R#6s  
    Select Case tt Ln2dD>{2  
         Case "ac_n_bd_y" O F|3y~z  
            'bd线段方程 K$K6,54y  
            k_bd = bdy / bdx  | D?lF  
            b_bd = p2y - k_bd * p2x |` +G7?)Y  
            p_x = p1x Q8^fgI|  
            p_y = k_bd * p_x + b_bd vxmz3ht,Q  
         Case "ac_y_bd_n" w)u6J,  
            'ac线段方程 DQ a0S7I  
            k_ac = acy / acx spVE'"^  
            b_ac = p1y - k_ac * p1x Q:/BC= ~  
            p_x = p2x @}Y,A~  
            p_y = k_ac * p_x + b_ac "N|gU;~W  
        Case "ac_y_bd_y" 7j <:hF~  
           'ac，bd线段都要求 /6$8djw  
           k_ac = acy / acx R"0fZENTG  
           b_ac = p1y - k_ac * p1x g/2eY$6Z  
           k_bd = bdy / bdx acXB vs  
           b_bd = p2y - k_bd * p2x Ig*qn# Dd  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ^I4/{,Ev  
           p_y = k_ac * p_x + b_ac ) C?emTih  
        End Select S@N:Cj  
      rt(1) = p_x mF|7:zSo  
      rt(2) = p_y 5V{ B,T  
     %#^)hX,+Q  
'计算最大半径 pjh o#yP  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ?'I[[KuG  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) c,\!<4  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 3Xun>ZQ-  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) $xWebz0  
Dim bb(5) As Single 6tKm'`^z4  
  bb(1) = rr1 ~qk5Mk4$  
  bb(2) = rr2 ^JKV~+ Q  
  bb(3) = rr3 tk"+PTGJT  
  bb(4) = rr4 5,pKv  
  nb = rr1 J#pl7q)^w  
For i = 1 To 4 ~PoBvH
i  
    If nb <= bb(i) Then vXio /m  
       nb = bb(i) )kq3q5*_  
    End If b)5z
'zQu  
Next i ns{BU->f  
    rt(0) = Sqr(nb) %Q0J$eC  
    rr = rt() %dyEF8)  
  End If 6@2 S*\&  
         X)tf3M {J@  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  m6aq_u{W  

la ~T)U7  
有热压工艺方面的人才或者资料分享下； |kvom 4T  
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 EDR;" G(N  

高手真多！

楼主威武霸气.