[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： 2sN
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JO=[YoTr  
6u`F d#  

关键点说几个： G?f\>QSZ  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） z <mK>$  
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 dz~coZ9  
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 qE'9QQ>:b  

以下是几个重要的函数： iC iZJ"  
1.判断点在区域中函数 NrP0Ep%V  
2.计算夹角函数 '`1CBU$  
3.转置函数 42>Ge>#F  
4.得到区域中心点，及区域半径函数 e#/E~r&  
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） &rkEK4  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数
+2 Af&~T  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single };'\~g,1  
   cax = x2 - x1 Zw wqSyuGf  
   cay = y2 - y1 Fs[aa#v4B  
   cbx = x2 - x3 u{["50~  
   cby = y2 - y3 >vo=]cw  
   mo_jj = cax * cbx + cay * cby Fd*8N8Pi  
   mo_ca = Sqr(cax * cax + cay * cay) TIvRhbu  
   mo_cb = Sqr(cbx * cbx + cby * cby) %4HRW;IU  
   cos_acb = mo_jj / (mo_ca * mo_cb) H4]Ul eU  
   'ff_cos = cos_acb FZ8b7nJ)4m  
   If cos_acb >= 1 Then ]~Y<o  
   nn = 0 )?wJF<[_#  
   ElseIf cos_acb <= -1 Then ws^4?O  
   nn = 3.14159265258979 @?"h !fyu  
   Else mS0udHod  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) a'\o7_  
   End If 41SGWAd#:  
   'ff_angle = nn %6_AM  
   ff_angle = nn * 180 / 3.14159265258979 vB+ '  
End Function

'判断点在区域内函数 *&f$K1p  
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  wd)jl%  
Dim aob, boc, cod, doa, sum As Single <\;#jF%V  
  If ppx = p1x And ppy = p1y Then &d|r~NhP  
     point_in = True !fj(tPq  
     Exit Function "U7qo}`I  
  End If M}!2H*
 
  If ppx = p2x And ppy = p2y Then HF(KN{0.B  
     point_in = True 2,*M|+W~  
     Exit Function `hb%+-lj+  
  End If G\(|N9^:  
   If ppx = p3x And ppy = p3y Then o^ XtU5SVq  
     point_in = True 2p"WTd  
     Exit Function F;]%V%F.X  
  End If @*sWu_-Y%  
     A
F%@VLf  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) +>PX&F  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) )P+7PhE{J  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y)
pxa(  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) qT^I?g"!  
    sum = aob + boc + cod + doa ,2W8=ON  
    If 360.01 > sum And sum > 359.99 Then `*shF9.\C  
       point_in = True hodgDrmO/  
    Else B $mX3B
+a  
       point_in = False )vSRHE  
    End If k`N^Vdr  
End Function

'得到点半径,得到交点坐标函数 i,/0/?)*_  
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() 5wDg'X]>V  
    '求得中心点坐标 Kuu *&u  
Dim tt As String #NryLE!/  
Dim rt(3) As Single ilqy/fL#  
    '判断是否平行 m*kl  
   acx = p3x - p1x =UfsL%  
   acy = p3y - p1y ZG&>:Si;  
   bdx = p4x - p2x #iHs* /85  
   bdy = p4y - p2y TJR:vr  
   If acx * bdy = acy * bdx Then 0a XPPnuX  
      rt(0) = 0 ?m\t|/0Q  
      Exit Function #$8%
w  
   Else @y\XR  
      '判断斜率存在否 )`O~f_pIC  
      If p1x = p3x And p2x <> p4x Then 8p:e##%  
         tt = "ac_n_bd_y" MjC_ (cs  
      ElseIf p1x <> p3x And p2x = p4x Then lUMS;H(  
         tt = "ac_y_bd_n" \6Zr  
      ElseIf p1x <> p3x And p2x <> p4x Then fO[+LR 'ax  
         tt = "ac_y_bd_y" ~yW4)4k;b  
      End If |#cm`v  
    Select Case tt %UERc{~o*,  
         Case "ac_n_bd_y" `ux{;4q  
            'bd线段方程 (<xfCH F5  
            k_bd = bdy / bdx [QoK5Yw{  
            b_bd = p2y - k_bd * p2x 9\BT0kx  
            p_x = p1x %D%8^Zd_  
            p_y = k_bd * p_x + b_bd -7@/[9Gf`:  
         Case "ac_y_bd_n" Gsq00j &<Z  
            'ac线段方程 tnN.:%mZ  
            k_ac = acy / acx wc}5m Hs  
            b_ac = p1y - k_ac * p1x %,@e^3B  
            p_x = p2x L>aLqQ3  
            p_y = k_ac * p_x + b_ac ?kH8Lw~{5W  
        Case "ac_y_bd_y" L(|N[#  
           'ac，bd线段都要求 1Vrh4g.l  
           k_ac = acy / acx ?R$F)g7<  
           b_ac = p1y - k_ac * p1x uXJ;A *  
           k_bd = bdy / bdx !h23cj+V  
           b_bd = p2y - k_bd * p2x SwTL|+u  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) ,*&:2o_r  
           p_y = k_ac * p_x + b_ac Mb|a+,:>3  
        End Select i]YV {  
      rt(1) = p_x /_AnP  
      rt(2) = p_y
IoQEtA  
     YQ9'0F[l  
'计算最大半径 75f"'nJ)  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 1{ ~#H<K  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) (_mnB W  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 'g=  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) nYR#  
Dim bb(5) As Single V3Q+s8OIF  
  bb(1) = rr1 -D  
  bb(2) = rr2 c'>/  
  bb(3) = rr3 \E72L5nJW  
  bb(4) = rr4 |:nOp(A\*  
  nb = rr1 K6v6ynp/  
For i = 1 To 4 ZM!CaR  
    If nb <= bb(i) Then B(LWdap~  
       nb = bb(i) S;3R S;  
    End If BP'36?=Zo  
Next i NO "xL,  
    rt(0) = Sqr(nb) :~e>Ob[,"  
    rr = rt() ov`h  
  End If Z0x ar]4V  
         a oD`=I*<  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  p6]7&{>  

&Lt}=3G  
有热压工艺方面的人才或者资料分享下； E.r>7`E  
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 vX{J' H]u  

高手真多！

楼主威武霸气.