[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： N[~{'i  
xP#vAR  
F0:|uC4  

关键点说几个： l r80RL'_  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 5&?[Vt  
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 Z6s-n$dSm  
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 .c__<I<G<  

以下是几个重要的函数： (V&5EO8)  
1.判断点在区域中函数 o;'E("!<Z  
2.计算夹角函数 MoAie|MKe  
3.转置函数 /{1sU}k-  
4.得到区域中心点，及区域半径函数 ga?:k,xv  
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） !8g419Yg  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 Eep~3U  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single m:}PVJ-"  
   cax = x2 - x1 IRhi1{K$"  
   cay = y2 - y1
(Q5rOrA"  
   cbx = x2 - x3 5!QT }Um  
   cby = y2 - y3 [T |P|\M  
   mo_jj = cax * cbx + cay * cby zA%YaekJ  
   mo_ca = Sqr(cax * cax + cay * cay) 1Kjqs)p^  
   mo_cb = Sqr(cbx * cbx + cby * cby) }VU^ 8
D  
   cos_acb = mo_jj / (mo_ca * mo_cb) Vc[aNpE  
   'ff_cos = cos_acb l4s*+H$vd?  
   If cos_acb >= 1 Then 1d$qr`  
   nn = 0 @V?T'@W7D  
   ElseIf cos_acb <= -1 Then L@5sY0 M  
   nn = 3.14159265258979 @4t_cxmD  
   Else ,?>{M  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) sYEh>%mo^C  
   End If i)iK0g"2  
   'ff_angle = nn |,bP`Z  
   ff_angle = nn * 180 / 3.14159265258979 zG0]!A  
End Function

'判断点在区域内函数 TU6(Q,Yi|  
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^
iShe  
Dim aob, boc, cod, doa, sum As Single L6?~<#-m\M  
  If ppx = p1x And ppy = p1y Then o;9 G{Xj3@  
     point_in = True DPlDuUOd  
     Exit Function 0
<E2^  
  End If upLjkQ)_  
  If ppx = p2x And ppy = p2y Then fsl ZJE  
     point_in = True +/[L-&,  
     Exit Function zviTG
hA  
  End If EI9;J-c  
   If ppx = p3x And ppy = p3y Then -Qn l)JB  
     point_in = True 28LBvJVq@  
     Exit Function ;reBJk  
  End If HUAbq }  
     ken.#>w  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) }[{9u#
@#  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) #bJp)&LO  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) zs(P2$  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) 74 WKy  
    sum = aob + boc + cod + doa eslv
g#Q  
    If 360.01 > sum And sum > 359.99 Then AdpJ4}|0  
       point_in = True 2,Aw6h;  
    Else C hQ] d  
       point_in = False ? 'qyI^m@  
    End If W}y)vrL  
End Function

'得到点半径,得到交点坐标函数 Qqi?DW1)-  
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() bsm/y+R  
    '求得中心点坐标 L|Xg4Z  
Dim tt As String _R(
9O?;q  
Dim rt(3) As Single SA#01}&p  
    '判断是否平行 8f<y~L_(`  
   acx = p3x - p1x Zb&pH~ 7  
   acy = p3y - p1y ?(Ua+*b  
   bdx = p4x - p2x ie11syhV"  
   bdy = p4y - p2y >S-JAPuO  
   If acx * bdy = acy * bdx Then }VRl L>HAC  
      rt(0) = 0 n=PfV3B  
      Exit Function +0 }_
X  
   Else [mv!r-=  
      '判断斜率存在否 LXWI'nxV  
      If p1x = p3x And p2x <> p4x Then '=O1n H<  
         tt = "ac_n_bd_y" d``wx}#Uk  
      ElseIf p1x <> p3x And p2x = p4x Then xFekSH7[F  
         tt = "ac_y_bd_n" @)x*62r+
 
      ElseIf p1x <> p3x And p2x <> p4x Then qe'ssX;  
         tt = "ac_y_bd_y" ?E_;[(Mcr  
      End If Zwz co  
    Select Case tt m[(_
fOd  
         Case "ac_n_bd_y" Ozhn`9L+1!  
            'bd线段方程 z@J>A![m  
            k_bd = bdy / bdx K@JaN/OM  
            b_bd = p2y - k_bd * p2x [KFCc_:  
            p_x = p1x ByuBZ!m  
            p_y = k_bd * p_x + b_bd RJUIB  
         Case "ac_y_bd_n" D)pTE?@W'  
            'ac线段方程 }zS5o [OE  
            k_ac = acy / acx g1?9ge1  
            b_ac = p1y - k_ac * p1x *`|xa@1v`  
            p_x = p2x $_,-ESI  
            p_y = k_ac * p_x + b_ac P;@j  
        Case "ac_y_bd_y" &PH:J*?C}  
           'ac，bd线段都要求 t,dm3+R  
           k_ac = acy / acx x@QNMK.7  
           b_ac = p1y - k_ac * p1x FF#+d~$z  
           k_bd = bdy / bdx w3"L5;oH  
           b_bd = p2y - k_bd * p2x \{]y(GT  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) }3_b%{  
           p_y = k_ac * p_x + b_ac 1og+(m`BL  
        End Select ;2\6U;  
      rt(1) = p_x J^ewG  
      rt(2) = p_y SASLeGaV  
     TTFs|T6`q  
'计算最大半径 5y 5Dn!`  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) 8!cHRtqK  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) UgK c2~  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) iF MfBg  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y)  T&MhSJf#  
Dim bb(5) As Single b>8TH-1t~  
  bb(1) = rr1 :fwtPvLo  
  bb(2) = rr2 xp'Q>%v  
  bb(3) = rr3 !zx8I7e4  
  bb(4) = rr4 mNacLkh[  
  nb = rr1 0^dYu/i5  
For i = 1 To 4 \>pm (gF  
    If nb <= bb(i) Then oQ,<Yx%E3  
       nb = bb(i) H8[A*uYL  
    End If 4oH ,_sr  
Next i })P!7t  
    rt(0) = Sqr(nb) [`qdpzUp&  
    rr = rt() 0+$gR~^^  
  End If d"miPR  
         rD4umWi  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  SK'h!Ye5Z  

;un@E:  
有热压工艺方面的人才或者资料分享下； S \]O8#OX  
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 ftxL-7y%  

高手真多！

楼主威武霸气.