[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： ' 5F3,/r  
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关键点说几个： eE0
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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） mzGMYi*  
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 FpYeuH%  
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 ZR[6-  

以下是几个重要的函数： bQ`|G(g-d  
1.判断点在区域中函数 m2x=Qv][@c  
2.计算夹角函数 a)qlrtCl  
3.转置函数 'u84d=*l  
4.得到区域中心点，及区域半径函数 wpK[;  
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） }7+`[g  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ypy  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single ^o-)y"GJ  
   cax = x2 - x1 h}n?4B~Gi  
   cay = y2 - y1 ('oA{,#L  
   cbx = x2 - x3 l\"wdS}  
   cby = y2 - y3 1F]jy  
   mo_jj = cax * cbx + cay * cby dUc([&  
   mo_ca = Sqr(cax * cax + cay * cay) 9?Q0O\&uP  
   mo_cb = Sqr(cbx * cbx + cby * cby) ,\'E<O2T  
   cos_acb = mo_jj / (mo_ca * mo_cb) ltg\x8w?c  
   'ff_cos = cos_acb 4OTrMT$y  
   If cos_acb >= 1 Then =EQaZ8k  
   nn = 0 n>L24rL  
   ElseIf cos_acb <= -1 Then (4Ha'uqz  
   nn = 3.14159265258979 l",X  
   Else 'XP  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) qL2Sv(A Z!  
   End If Sh;Z\nj  
   'ff_angle = nn <gLq?~e|A  
   ff_angle = nn * 180 / 3.14159265258979 D&|HS!  
End Function

'判断点在区域内函数 4Pkl()\c  
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 byN4?3F  
Dim aob, boc, cod, doa, sum As Single >7(7  
  If ppx = p1x And ppy = p1y Then (yv)zg9  
     point_in = True jm&PGZ#n=R  
     Exit Function 3!Cab/T  
  End If AVi,+n  
  If ppx = p2x And ppy = p2y Then FKU)# Eo  
     point_in = True UYkuz  
     Exit Function !~!\=e
tm  
  End If 2bt).gGm  
   If ppx = p3x And ppy = p3y Then jVInTR0f[  
     point_in = True Gi Max  
     Exit Function jUCDf-_ m  
  End If '~n=<Y  
     :IRQouTf:,  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) ds:&{~7L<T  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) nV>=n,+s"  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) JVq`v#8  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) jU!ibs}R3  
    sum = aob + boc + cod + doa qLk7C0  
    If 360.01 > sum And sum > 359.99 Then H5/w!y@  
       point_in = True ,'a[1RN  
    Else ROj9#:  
       point_in = False 22gh,e2o  
    End If N51WY7  
End Function

'得到点半径,得到交点坐标函数 n$E'+kox  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() =:(<lKf,<F  
    '求得中心点坐标 (F'?c1  
Dim tt As String .(X!*J]G  
Dim rt(3) As Single yCZ[z A  
    '判断是否平行 Qo])A6$IU  
   acx = p3x - p1x 9}#9i^%}  
   acy = p3y - p1y GpGq' 8|(  
   bdx = p4x - p2x ldNWdz  
   bdy = p4y - p2y VCc57Bo  
   If acx * bdy = acy * bdx Then yYPFk  
      rt(0) = 0 .7r$jmuFs  
      Exit Function X,ok3c4X  
   Else f\c%G=y  
      '判断斜率存在否 zD): yEc  
      If p1x = p3x And p2x <> p4x Then Na{&aqdz  
         tt = "ac_n_bd_y" #r;uM+  
      ElseIf p1x <> p3x And p2x = p4x Then *@[N~:z/  
         tt = "ac_y_bd_n" ({9P, D~2  
      ElseIf p1x <> p3x And p2x <> p4x Then 7&*d]#&~j  
         tt = "ac_y_bd_y" w_9[y  
      End If {!37w[s~  
    Select Case tt rj-Q+rgup  
         Case "ac_n_bd_y" "Tc[1{
eI  
            'bd线段方程 L;'C5#GN  
            k_bd = bdy / bdx %nT&  
            b_bd = p2y - k_bd * p2x z:p9&mi  
            p_x = p1x @+(a{%~7y  
            p_y = k_bd * p_x + b_bd <:I]0|[  
         Case "ac_y_bd_n" B+2Jea,N  
            'ac线段方程 5gH'CzU?  
            k_ac = acy / acx (qg~l@rf  
            b_ac = p1y - k_ac * p1x \!!1o+#1j  
            p_x = p2x A\T9>z^k  
            p_y = k_ac * p_x + b_ac :my@Oxx4@  
        Case "ac_y_bd_y" ;BjJ<?^{  
           'ac，bd线段都要求 '~OKt`SfIo  
           k_ac = acy / acx wZ\% !#}7  
           b_ac = p1y - k_ac * p1x 9Lqo^+0)\  
           k_bd = bdy / bdx xqLIs:*  
           b_bd = p2y - k_bd * p2x x(bM   
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) &ZAc3@l[c  
           p_y = k_ac * p_x + b_ac <7yn:  
        End Select g%2twq_  
      rt(1) = p_x <n)R?P(or  
      rt(2) = p_y brClYpp,h  
     #Q$`3rr  
'计算最大半径 (*dJ   
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) +<W8kb  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) Wkc^?0p  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 7kH GU  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) >TddKR@C  
Dim bb(5) As Single hv8j$2m  
  bb(1) = rr1 kH>^3(Q\  
  bb(2) = rr2 iWMgU:T  
  bb(3) = rr3 u}BN)%`B  
  bb(4) = rr4 oLz9mqp2%  
  nb = rr1 `%Uz0hF  
For i = 1 To 4 "i/3m'<2  
    If nb <= bb(i) Then
~#V1Gunq  
       nb = bb(i) z{dn  
    End If ~AG."<}  
Next i IX y $  
    rt(0) = Sqr(nb) :R9 DJh\  
    rr = rt()
i"U<=~  
  End If "Go)t+-  
         @AAkEWo)_  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  SEc3`y;j%  

y
EfV8aY'*  
有热压工艺方面的人才或者资料分享下； O}!L;?  
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 w*Gv#B9G
  

高手真多！

楼主威武霸气.