[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： d, ?GW  
4eSFpy1  
7D 3-/_v  

关键点说几个： E&@#*~   
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 3a ZS1]/  
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 +7_U(|gO  
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 <|82)hO  

以下是几个重要的函数： A+4Kj~`!  
1.判断点在区域中函数 7&%#bMnw  
2.计算夹角函数 b9
-3  
3.转置函数 Cp>y<C"  
4.得到区域中心点，及区域半径函数 7(^F@,,@  
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） :!?Fq/!  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 w&J_c8S  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single '}bmDb*  
   cax = x2 - x1 HPt\ BK  
   cay = y2 - y1 e#3RT8u#  
   cbx = x2 - x3 v.u 5%  
   cby = y2 - y3 hH%fWB2(  
   mo_jj = cax * cbx + cay * cby fy|I3  
   mo_ca = Sqr(cax * cax + cay * cay) R?- zJ ;  
   mo_cb = Sqr(cbx * cbx + cby * cby) FS!)KxC/-  
   cos_acb = mo_jj / (mo_ca * mo_cb) a69e^;,>q  
   'ff_cos = cos_acb DVKb`KJ"  
   If cos_acb >= 1 Then }Ujgd2(U  
   nn = 0 5dD8s-;^T  
   ElseIf cos_acb <= -1 Then .P?n<n#  
   nn = 3.14159265258979 #)[.Xz:U  
   Else VhAJ1[k4!  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) )N1iGJO)  
   End If a1%}Ee  
   'ff_angle = nn H~>8q~o]  
   ff_angle = nn * 180 / 3.14159265258979 3#>%_@<  
End Function

'判断点在区域内函数 u%I%4 gM  
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 E'(nJ  
Dim aob, boc, cod, doa, sum As Single s@y;b0
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  If ppx = p1x And ppy = p1y Then t+]1D@hv  
     point_in = True #:/27  
     Exit Function `8Ych@f]  
  End If {~s\a2YH  
  If ppx = p2x And ppy = p2y Then A,=> |&*  
     point_in = True HJ0;BD.]  
     Exit Function !y'>sAf  
  End If F[!%,-*  
   If ppx = p3x And ppy = p3y Then tns8B  
     point_in = True *p#@W-:9E  
     Exit Function k)X\z@I'  
  End If >7~*j4g  
     y;<suGl
 
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) -/0\_zq7  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) M*Ej*
#  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) m.! M#x2!  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 1sonDBd0@;  
    sum = aob + boc + cod + doa h{$k%YJ?  
    If 360.01 > sum And sum > 359.99 Then XuHR  
       point_in = True (c^ {T)  
    Else <p/2hHfiD  
       point_in = False "19#{yX4  
    End If {x_cgsn  
End Function

'得到点半径,得到交点坐标函数 vq+CW?*"  
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() #W3H;'~/5  
    '求得中心点坐标 r `n|fD.  
Dim tt As String -o`K/f}d  
Dim rt(3) As Single u~Po5W/i  
    '判断是否平行 S<cz2FlV  
   acx = p3x - p1x [)GRP  
   acy = p3y - p1y Jvsy 6R  
   bdx = p4x - p2x 1r}i[5  
   bdy = p4y - p2y I2*(v%.-  
   If acx * bdy = acy * bdx Then 7iwck.*  
      rt(0) = 0 2rf8)8':  
      Exit Function ~ho,bwJM[T  
   Else '-Cx-=  
      '判断斜率存在否 ytjZ7J['{  
      If p1x = p3x And p2x <> p4x Then t!6uz  
         tt = "ac_n_bd_y" <2&qIvHL  
      ElseIf p1x <> p3x And p2x = p4x Then <#nU 06 fN  
         tt = "ac_y_bd_n" 8]`s&d@GY  
      ElseIf p1x <> p3x And p2x <> p4x Then . _|=Btoo  
         tt = "ac_y_bd_y" pV u[  
      End If ?YZgH>7"  
    Select Case tt h9<PP2.(  
         Case "ac_n_bd_y" ly0L)L]\  
            'bd线段方程 7vFm
B  
            k_bd = bdy / bdx CLVT5pj='  
            b_bd = p2y - k_bd * p2x )j~
{P  
            p_x = p1x iQ8{N:58DN  
            p_y = k_bd * p_x + b_bd %7aJSuQN%  
         Case "ac_y_bd_n" knG:6tQ  
            'ac线段方程 %aK[Yvo6  
            k_ac = acy / acx FZ+2{wIV^  
            b_ac = p1y - k_ac * p1x @-\=`#C**  
            p_x = p2x +pYwc0~  
            p_y = k_ac * p_x + b_ac F9K`N8wlu  
        Case "ac_y_bd_y" LTo!DUi
`  
           'ac，bd线段都要求 eaDZ^Z Er  
           k_ac = acy / acx "N=$=Dy>  
           b_ac = p1y - k_ac * p1x `^hA&/1  
           k_bd = bdy / bdx y] D\i5Xv  
           b_bd = p2y - k_bd * p2x X=)L$Kd7  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) a6./;OC  
           p_y = k_ac * p_x + b_ac bO/r1W  
        End Select m[2[9bQ0  
      rt(1) = p_x ||pOiR5  
      rt(2) = p_y qp6'n&^&  
     e.DN,rhqI  
'计算最大半径 wZ\93W-}  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) XIbxi  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) \EoE/2"<  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) L%5y@b{AR  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) \-6y#R-B  
Dim bb(5) As Single Sq_.RU  
  bb(1) = rr1 T5ky:{Y(  
  bb(2) = rr2 m)pHCS  
  bb(3) = rr3 h~Z &L2V  
  bb(4) = rr4 JcmMbd&B  
  nb = rr1 3I( n];  
For i = 1 To 4 ^$O(oE(D  
    If nb <= bb(i) Then ),B/NZ/-  
       nb = bb(i) vvxD}p=y  
    End If *kK +Nvt8s  
Next i /N*<Fq7w~  
    rt(0) = Sqr(nb) Aqf9
1 [c  
    rr = rt() [9Rh"H;h  
  End If )z74,n7-  
         t!/~_}eDJ  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  -b?M5P*:  

;5\'PrE  
有热压工艺方面的人才或者资料分享下； 3A"TpR4f`  
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 Jg'#IM  

高手真多！

楼主威武霸气.