[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： m}]\^$d  
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关键点说几个： S'=}eeG  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） _CG ED{b@  
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 R T/)<RT9  
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 gaR~K  

以下是几个重要的函数： u6i
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1.判断点在区域中函数 {tUxRX  
2.计算夹角函数 /-Nq DRmJ  
3.转置函数 qb+Gjgp  
4.得到区域中心点，及区域半径函数 Y,{pG]B$w  
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） .DHQJ|J-1  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 f'OcW*t  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ))E| SAr  
   cax = x2 - x1 n= FOB0=  
   cay = y2 - y1 W('V2Z-q  
   cbx = x2 - x3 a=M/0N{!  
   cby = y2 - y3 '?d5L+9  
   mo_jj = cax * cbx + cay * cby ISg-?h/  
   mo_ca = Sqr(cax * cax + cay * cay) C%AN4Mo  
   mo_cb = Sqr(cbx * cbx + cby * cby) !nTI(--  
   cos_acb = mo_jj / (mo_ca * mo_cb) NV`=T?1[5  
   'ff_cos = cos_acb N[;R8SP  
   If cos_acb >= 1 Then %Q zk aXJ  
   nn = 0 rtz ]PH  
   ElseIf cos_acb <= -1 Then ]:~z#k|2@6  
   nn = 3.14159265258979 ^>#@qMw  
   Else 
9EWw  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) .GIygU_  
   End If l4\!J/df  
   'ff_angle = nn hQaa"U7[  
   ff_angle = nn * 180 / 3.14159265258979 synueg  
End Function

'判断点在区域内函数 {0L)B{|  
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 gQuU_dbXSB  
Dim aob, boc, cod, doa, sum As Single n,Q^M$mS0  
  If ppx = p1x And ppy = p1y Then 69N8COLB  
     point_in = True g:Fo7*i  
     Exit Function spma\,o  
  End If 3 ]w a8|  
  If ppx = p2x And ppy = p2y Then kg^5D3!2{Q  
     point_in = True <"nF`'olV  
     Exit Function @*iT%p_L  
  End If 3]67U}`  
   If ppx = p3x And ppy = p3y Then L[MAc](me-  
     point_in = True n_4BNOZ~  
     Exit Function P7*?E*   
  End If 6k;>:[p
 
     B*n_ VBd  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) tD6ukK1x  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) 8r48+_y3u  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 0[ZwtfL1  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Z._%T$8aJv  
    sum = aob + boc + cod + doa Wo6C0Z3g}  
    If 360.01 > sum And sum > 359.99 Then ,$"T/yYer  
       point_in = True bRI`ZT0  
    Else nk2H^RM^  
       point_in = False ?J6\?ct4  
    End If 4_ kg/  
End Function

'得到点半径,得到交点坐标函数 DxxY<OkN  
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() j
~#v*qmDU  
    '求得中心点坐标 1j+RXb\<  
Dim tt As String _"lW  
Dim rt(3) As Single -x+K#T0Z  
    '判断是否平行 4Vv$bbu+  
   acx = p3x - p1x g.COKA  
   acy = p3y - p1y .]ZMxDZ  
   bdx = p4x - p2x :F pt>g  
   bdy = p4y - p2y $q0i=l&$&  
   If acx * bdy = acy * bdx Then E6clVa  
      rt(0) = 0 8WLBq-]G  
      Exit Function R&MetQ~-{  
   Else U\(T<WX,  
      '判断斜率存在否 |[MtUWEW  
      If p1x = p3x And p2x <> p4x Then ~) vz`bD1  
         tt = "ac_n_bd_y" *q0vp^?  
      ElseIf p1x <> p3x And p2x = p4x Then %B04|Q  
         tt = "ac_y_bd_n" 5]Y?NN,GR  
      ElseIf p1x <> p3x And p2x <> p4x Then Rz=wInFs  
         tt = "ac_y_bd_y" PPj%
.i)  
      End If ;oVFcZSA  
    Select Case tt Imz1"+E~  
         Case "ac_n_bd_y" Tr"Bz!  
            'bd线段方程 m&+V@H  
            k_bd = bdy / bdx NkYC(;g  
            b_bd = p2y - k_bd * p2x C*Wyw]:r  
            p_x = p1x HD;l1W)  
            p_y = k_bd * p_x + b_bd UI74RP  
         Case "ac_y_bd_n" Z1R{'@Y0Z  
            'ac线段方程 {hBnEj^@  
            k_ac = acy / acx ]I(<hDuRp  
            b_ac = p1y - k_ac * p1x KvtJtql;  
            p_x = p2x kB]*2o9-3  
            p_y = k_ac * p_x + b_ac !]=S A &  
        Case "ac_y_bd_y" g!
!:o(k  
           'ac，bd线段都要求 epxbTJfc  
           k_ac = acy / acx YI+o:fGC5  
           b_ac = p1y - k_ac * p1x %)P)Xb  
           k_bd = bdy / bdx ^d!I{ y#  
           b_bd = p2y - k_bd * p2x y:
,m(P  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) F 8 gw3  
           p_y = k_ac * p_x + b_ac l'kVi  
        End Select :zsMkdU  
      rt(1) = p_x ?5rM'O2  
      rt(2) = p_y r<EwtO+x  
     d%Nx/DS)  
'计算最大半径 xv0y?#`z  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 4x?4[J~u[  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) +=#@1k~  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) )*Rr5l /l  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ?T_bjALW  
Dim bb(5) As Single Y(h(Z  
  bb(1) = rr1 c[;=7-+  
  bb(2) = rr2 YAYwrKt  
  bb(3) = rr3 y{J7^o(_~  
  bb(4) = rr4 &-p!Lg&D  
  nb = rr1 QHw{@*  
For i = 1 To 4 $fQ'q3  
    If nb <= bb(i) Then M nDaag  
       nb = bb(i) YL9Tsw  
    End If A4f;ftB  
Next i o5<w2(  
    rt(0) = Sqr(nb) *DPKV$  
    rr = rt() DXx),?s>  
  End If Q6=>*}Cm6m  
         Zr$D\(hX  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  }ygxm
b^@Z  

L6"?p-:@'  
有热压工艺方面的人才或者资料分享下； C_ (s  
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 )GF>]|CG  

高手真多！

楼主威武霸气.