[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： 7 ~8Fs@  
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图片:2.jpg

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关键点说几个： <F & hfy  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） s7} )4.vO  
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 ?.ihWbW_  
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 {~h\;>  

以下是几个重要的函数： j=S"KVp9NF  
1.判断点在区域中函数 4]KceE  
2.计算夹角函数 %TgM-F,8  
3.转置函数 1*jm9])#  
4.得到区域中心点，及区域半径函数 h--bN*}H2  
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） Sn&%epi  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 p\\q[6  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single blv6  
   cax = x2 - x1 _P1-d`b0 a  
   cay = y2 - y1 |D:0BATRP  
   cbx = x2 - x3 9t1_"{'N1  
   cby = y2 - y3 JH#+E04#  
   mo_jj = cax * cbx + cay * cby 9k&$bC+Q  
   mo_ca = Sqr(cax * cax + cay * cay) Y;>'~V#R  
   mo_cb = Sqr(cbx * cbx + cby * cby) 8<!9mgh  
   cos_acb = mo_jj / (mo_ca * mo_cb) FG\?_G  
   'ff_cos = cos_acb C:{'0m*jKs  
   If cos_acb >= 1 Then ,#loVLy  
   nn = 0 iI0'z=J  
   ElseIf cos_acb <= -1 Then [4yQ-L)]e  
   nn = 3.14159265258979 =`H(`2  
   Else ]du~V?N   
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) n0q(EQy1U  
   End If b87o6"j  
   'ff_angle = nn YeJdkt  
   ff_angle = nn * 180 / 3.14159265258979 Ipx:k+J  
End Function

'判断点在区域内函数 ~@;7}Aag  
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 J4i0+u  
Dim aob, boc, cod, doa, sum As Single w=$_',5#Z  
  If ppx = p1x And ppy = p1y Then 1rC'sfz  
     point_in = True \Wk$>?+#@  
     Exit Function RP9||PFS~~  
  End If qDW/8b\^  
  If ppx = p2x And ppy = p2y Then }1wuH  
     point_in = True P.Bk-#}$  
     Exit Function x&d<IU)5  
  End If _G|6xlO  
   If ppx = p3x And ppy = p3y Then MNzq}(p  
     point_in = True :.,I4>b2  
     Exit Function j3><J  
  End If y8@!2O4  
     M*N8p]3Cq  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) x@=7M'vr%  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) hGeRM4zVZZ  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) N.?Wev{  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) Lnzhs;7L  
    sum = aob + boc + cod + doa  a4yU[KK  
    If 360.01 > sum And sum > 359.99 Then i]v!o$7  
       point_in = True ;1nd~0
o  
    Else XN@5TZoaW  
       point_in = False 92i#It}-/  
    End If {`LV{!  
End Function

'得到点半径,得到交点坐标函数
v:chr$>j5  
Function rr(p1x As Single, p1y As Single, p2x As Single, p2y As Single, p3x As Single, p3y As Single, p4x As Single, p4y As Single) As Single() Z&%61jGK  
    '求得中心点坐标 LM}si|  
Dim tt As String 0czy:d,M%  
Dim rt(3) As Single h4/rw fp^  
    '判断是否平行 d={}a,3?  
   acx = p3x - p1x TsQMwV_h  
   acy = p3y - p1y G>Q{[m$  
   bdx = p4x - p2x 7>nA;F 8_  
   bdy = p4y - p2y i=ba=-"Mt  
   If acx * bdy = acy * bdx Then ;8@A7`^  
      rt(0) = 0 Ii)TCSt9U?  
      Exit Function =k'dbcfO$9  
   Else (.c?)_G,  
      '判断斜率存在否 pr2d}~q4{  
      If p1x = p3x And p2x <> p4x Then EQ28pAZ  
         tt = "ac_n_bd_y" 46vz=# ,6L  
      ElseIf p1x <> p3x And p2x = p4x Then >g?,BK@  
         tt = "ac_y_bd_n" ;23F8M%wH  
      ElseIf p1x <> p3x And p2x <> p4x Then | 8AH_Fk  
         tt = "ac_y_bd_y" 
oDC3AK&  
      End If ,MLPVDN*D  
    Select Case tt R:E`  
         Case "ac_n_bd_y" $j:0*Z=>  
            'bd线段方程 it.l;L_nW  
            k_bd = bdy / bdx V{n
pK(  
            b_bd = p2y - k_bd * p2x +RbCa c  
            p_x = p1x gnv4.f:  
            p_y = k_bd * p_x + b_bd /4|qfF3  
         Case "ac_y_bd_n" ,YoIn  
            'ac线段方程 i@2?5U>h  
            k_ac = acy / acx a}wB7B;,g  
            b_ac = p1y - k_ac * p1x 1G\ugLm  
            p_x = p2x n8?gZ` W  
            p_y = k_ac * p_x + b_ac  np~oF  
        Case "ac_y_bd_y" {M=tw  
           'ac，bd线段都要求 I=1tf;Bsi  
           k_ac = acy / acx 1}(g=S  
           b_ac = p1y - k_ac * p1x xzy9~))o  
           k_bd = bdy / bdx 8Vq,J:+  
           b_bd = p2y - k_bd * p2x p\(%bO
 
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) wtY#8'^$&  
           p_y = k_ac * p_x + b_ac ?D.]c;PR  
        End Select W4N$]D=  
      rt(1) = p_x mJT7e  
      rt(2) = p_y p~r +2(J
 
     DzYno-]A]  
'计算最大半径 ZXco5,1  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) `Z{7Ut^)  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) `0sa94H1[  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) MPT[f  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ^,?]]=mE  
Dim bb(5) As Single 6rRPqO j  
  bb(1) = rr1 3&}wfK]X  
  bb(2) = rr2 q* m%Fv  
  bb(3) = rr3 0n1y$*I4  
  bb(4) = rr4 5SDHZ?h  
  nb = rr1 I3SLR  
For i = 1 To 4 K$rH{dUM  
    If nb <= bb(i) Then <uA|nYpp  
       nb = bb(i) Jl}$)'  
    End If Q.!8q3`  
Next i iJq}tIk#2'  
    rt(0) = Sqr(nb) vHao y  
    rr = rt() N^)L@6  
  End If 
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         -tDmzuD6  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  BY6QJkI9x  

]uj6-0q){W  
有热压工艺方面的人才或者资料分享下；  h9RG?r1  
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 pzHN:9r  

高手真多！

楼主威武霸气.