[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： [1F*bI  
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关键点说几个： N_pJk2E  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） lWqrU1Sjl  
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 4H|(c[K;  
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 jcI&w#re  

以下是几个重要的函数： *P#WDXRwd  
1.判断点在区域中函数 G 2mX;  
2.计算夹角函数 !}4MN:r  
3.转置函数 1!.(4gV  
4.得到区域中心点，及区域半径函数 )=-0M9e.{  
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） X+~ XJ  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 I8QjKI (  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single a\%xB >LX  
   cax = x2 - x1 9JWa$iBH@  
   cay = y2 - y1 )x]3Zq  
   cbx = x2 - x3 OQ,NOiNkap  
   cby = y2 - y3 3LfC{ER  
   mo_jj = cax * cbx + cay * cby #^4,GLIM  
   mo_ca = Sqr(cax * cax + cay * cay) RGK8'i/X  
   mo_cb = Sqr(cbx * cbx + cby * cby) @]![o %  
   cos_acb = mo_jj / (mo_ca * mo_cb) o}<4*qlI  
   'ff_cos = cos_acb [Tnsr(Z  
   If cos_acb >= 1 Then 11,!XD*"  
   nn = 0 CEC nq3  
   ElseIf cos_acb <= -1 Then \tRG1&{$%  
   nn = 3.14159265258979 sF7^qrVQP9  
   Else e{KByFl  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) l$YC/bP  
   End If \T;\XAGr  
   'ff_angle = nn &<+ A((/i  
   ff_angle = nn * 180 / 3.14159265258979 #BQ.R,  
End Function

'判断点在区域内函数 8`b`QtGf  
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 zSE<"(a  
Dim aob, boc, cod, doa, sum As Single @A+RVg*=  
  If ppx = p1x And ppy = p1y Then KE1ao9H8wR  
     point_in = True Y $u9%0q|?  
     Exit Function ||zb6|7I4  
  End If @w>zF/  
  If ppx = p2x And ppy = p2y Then yi^b)2G  
     point_in = True HK~xOAF  
     Exit Function U#n#7G6fRp  
  End If 5VO;s1  
   If ppx = p3x And ppy = p3y Then @Eb2k!T  
     point_in = True $o+5/c?|  
     Exit Function !6G?zipB  
  End If J>^\oAgpE  
     TM8=U-A  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) }dxDtqb  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) ^ZM0c>ev=l  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) {T'GQz+R"  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) JxjI]SF02  
    sum = aob + boc + cod + doa dDDGM:]  
    If 360.01 > sum And sum > 359.99 Then {u[V{XIUh  
       point_in = True W- $a Y2  
    Else Jd,)a#<j  
       point_in = False efG6v  
    End If x"4} isp<  
End Function

'得到点半径,得到交点坐标函数 ySbqnw'  
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() as+GbstN  
    '求得中心点坐标 zNSu  
Dim tt As String I =Wc&1g  
Dim rt(3) As Single OTB$V k  
    '判断是否平行 a4gi,pz$
]  
   acx = p3x - p1x ( #Z`  
   acy = p3y - p1y rg_Q
"g  
   bdx = p4x - p2x 7{oe ->r  
   bdy = p4y - p2y E^hHH?w+  
   If acx * bdy = acy * bdx Then sP'0Sl~NU  
      rt(0) = 0 x\s,= n3z  
      Exit Function JIO$=+p  
   Else ~^)^q8  
      '判断斜率存在否 Q6C-4ja  
      If p1x = p3x And p2x <> p4x Then r
'BAT
3  
         tt = "ac_n_bd_y" V2|3i}V"  
      ElseIf p1x <> p3x And p2x = p4x Then Xj+q~4{|vt  
         tt = "ac_y_bd_n" BsZ{|,oQnZ  
      ElseIf p1x <> p3x And p2x <> p4x Then
d h^^G^  
         tt = "ac_y_bd_y" ~9Cz6yF  
      End If 1on'^8]0  
    Select Case tt +~sd"v6  
         Case "ac_n_bd_y" jY!ZkQsVe  
            'bd线段方程 *oI*-C  
            k_bd = bdy / bdx ]7AX%EG3  
            b_bd = p2y - k_bd * p2x 17g^ALs  
            p_x = p1x G&eP5'B4i  
            p_y = k_bd * p_x + b_bd 02JL*  
         Case "ac_y_bd_n" o**yZ2  
            'ac线段方程 |4Ck;gg!j  
            k_ac = acy / acx C.!_]Pxs  
            b_ac = p1y - k_ac * p1x  PWgDFL?  
            p_x = p2x
VY 1vXM3y  
            p_y = k_ac * p_x + b_ac >x:EJV   
        Case "ac_y_bd_y" R@T6U:1  
           'ac，bd线段都要求 ,je`YEC  
           k_ac = acy / acx @nV5.r0W}B  
           b_ac = p1y - k_ac * p1x u3tZ[Y2 c  
           k_bd = bdy / bdx ET^|z  
           b_bd = p2y - k_bd * p2x qW^vz  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) @=]8^?$t 0  
           p_y = k_ac * p_x + b_ac H ;@!?I  
        End Select {#Q\z>  
      rt(1) = p_x ~bA,GfSn0  
      rt(2) = p_y 0WxCSL$#I  
     e5
v`;(^M  
'计算最大半径 ek-!b!iI  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ^gro=Bp(  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) !#D=w$@r:  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) q(z7~:+qNr  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) FJM;X-UOY  
Dim bb(5) As Single %.x@gi q  
  bb(1) = rr1 0??Yr  
  bb(2) = rr2 2O""4_G  
  bb(3) = rr3 3-wD^4)O,  
  bb(4) = rr4 GaNq2G  
  nb = rr1 ?H;{~n?  
For i = 1 To 4 V/#v\*JHFc  
    If nb <= bb(i) Then u"VS* hSH  
       nb = bb(i) uOk%AL>  
    End If FbSa~uN  
Next i 1IA5.@G:  
    rt(0) = Sqr(nb) d;suACW  
    rr = rt() ij)Cm]4(2  
  End If +$beo2x6  
         r:.uBc&_  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  22IYrk  

~^7  
有热压工艺方面的人才或者资料分享下； TolrEcI  
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 Ut;'Gk  

高手真多！

楼主威武霸气.