[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： *eAt'  
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|$T?P*pI.  

关键点说几个： BBoVn^Z*R  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） R*"zLJ
P  
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 Yu%ZwTvw  
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 g*U[?I"sC  

以下是几个重要的函数： 5,V3_p:)VI  
1.判断点在区域中函数 LwCf}4u"  
2.计算夹角函数 WGMEZx  
3.转置函数 \g;-q9g;O  
4.得到区域中心点，及区域半径函数 s4\_%je<v  
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） ~p/1 9/  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 B}p{$g!  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single  F| O  
   cax = x2 - x1 5F|oNI}$:  
   cay = y2 - y1 ~@Eu4ip)F  
   cbx = x2 - x3 ^b`aO$  
   cby = y2 - y3 U> 1voc  
   mo_jj = cax * cbx + cay * cby \ssqIRk  
   mo_ca = Sqr(cax * cax + cay * cay) 0W>,RR)  
   mo_cb = Sqr(cbx * cbx + cby * cby) `GT{=XJfY  
   cos_acb = mo_jj / (mo_ca * mo_cb) _0e;&2')  
   'ff_cos = cos_acb r5aOQ  
   If cos_acb >= 1 Then z0-`D.D@\  
   nn = 0 5"9!kZ(<  
   ElseIf cos_acb <= -1 Then 2_Otv2
 
   nn = 3.14159265258979 OAZ5I)D>  
   Else t5WW3$Nf  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) C.;H?So(  
   End If P>i[X0UnL  
   'ff_angle = nn uz;z+Bd^  
   ff_angle = nn * 180 / 3.14159265258979 4XXuj  
End Function

'判断点在区域内函数 {]6Pd`-  
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 S 7 *LV;  
Dim aob, boc, cod, doa, sum As Single m_g2Cep  
  If ppx = p1x And ppy = p1y Then tjTnFP/=  
     point_in = True (7_}UT@w-  
     Exit Function &`IC3O5  
  End If }grel5lq  
  If ppx = p2x And ppy = p2y Then 0B?t:XU,  
     point_in = True ;HbAk`\1A  
     Exit Function ;XXB^,  
  End If 
U}2b{  
   If ppx = p3x And ppy = p3y Then { vOr'j@  
     point_in = True Tweku}D7  
     Exit Function ruQ1Cph  
  End If j!<(`  
     Y(3X5v?[  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) H!yqIh  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) $(8CU$gi=  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) gkw/Rd1oG  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) .>Fy ]Cqoh  
    sum = aob + boc + cod + doa S)$iHBx{  
    If 360.01 > sum And sum > 359.99 Then &nyJ :?  
       point_in = True \=NS@_t,  
    Else I@/+=  
       point_in = False 4V9S~^v|  
    End If \&Zp/;n  
End Function

'得到点半径,得到交点坐标函数 o!-kwtw`l  
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() &;wNJ)
Uc  
    '求得中心点坐标 C_ 4(-OWq  
Dim tt As String }s++^uX6  
Dim rt(3) As Single f\U(7)2  
    '判断是否平行 M!)~h<YL  
   acx = p3x - p1x "vL,c]D  
   acy = p3y - p1y _(%;O:i  
   bdx = p4x - p2x {GP#/5$=  
   bdy = p4y - p2y #<*=)[  
   If acx * bdy = acy * bdx Then (@&+?A"6`  
      rt(0) = 0 x^]J^L45  
      Exit Function `+0K~k|DC  
   Else z<u*I@;  
      '判断斜率存在否 s5
cY>  
      If p1x = p3x And p2x <> p4x Then
>Xv Fg  
         tt = "ac_n_bd_y" _my!YS5n  
      ElseIf p1x <> p3x And p2x = p4x Then sf5F$  
         tt = "ac_y_bd_n" ;\48Q;  
      ElseIf p1x <> p3x And p2x <> p4x Then =jIP29+  
         tt = "ac_y_bd_y" G~nQR qv  
      End If *P0sl( &  
    Select Case tt thK4@C|X4  
         Case "ac_n_bd_y" '74*-yd  
            'bd线段方程 >o,l/#z  
            k_bd = bdy / bdx =Hf`yH\#  
            b_bd = p2y - k_bd * p2x ' |Ia-RbX  
            p_x = p1x 8qF OO3c\V  
            p_y = k_bd * p_x + b_bd Oz-;2  
         Case "ac_y_bd_n" ;@$v_i  
            'ac线段方程 ]7DS>%mY(  
            k_ac = acy / acx 'S#D+oF(1~  
            b_ac = p1y - k_ac * p1x vMv? fE"  
            p_x = p2x X 3q2XU  
            p_y = k_ac * p_x + b_ac P5Is#7udN8  
        Case "ac_y_bd_y" 4IGn,D^  
           'ac，bd线段都要求 "l[ c/q[  
           k_ac = acy / acx -ztgi
rU  
           b_ac = p1y - k_ac * p1x XkRPD  
           k_bd = bdy / bdx U]}f]GK  
           b_bd = p2y - k_bd * p2x sX[k}=HCK  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) Mp,aQ0bNS  
           p_y = k_ac * p_x + b_ac y1
OpZ  
        End Select Bm4fdf#A]  
      rt(1) = p_x $*q^7ME  
      rt(2) = p_y 9gQ ]!Oq  
     :TkR]bhm  
'计算最大半径 2C[xrZa^  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) ly( LMr  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) w tSX(LNY  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 2`P=ekF]  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) i)=dp!Bx^  
Dim bb(5) As Single BBDt^$  
  bb(1) = rr1 ESi'3mbeC  
  bb(2) = rr2 B:rzM:BQ  
  bb(3) = rr3 Zg=jDPt}  
  bb(4) = rr4 |{V@t1`  
  nb = rr1 Yc p<N>)  
For i = 1 To 4 P={8qln,X  
    If nb <= bb(i) Then "(+p1  
       nb = bb(i) `BzjDI:a  
    End If \$W\[s4I  
Next i lOEB ,/P  
    rt(0) = Sqr(nb) GD@|XwK){  
    rr = rt() P&sYS<9q  
  End If xua E\*m  
         =.(~`ici~  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  $Gs|Z$(  

[7Liken  
有热压工艺方面的人才或者资料分享下； `M!'PMX  
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 6kHuKxY,  

高手真多！

楼主威武霸气.