[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： #'5C*RO  
R #f*QXv  
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关键点说几个： A,'F`au  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） }O+a  
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 h&|S*  
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 7Mj:bm&9  

以下是几个重要的函数： Z}AhDIw!G  
1.判断点在区域中函数 _2a)b(<tF  
2.计算夹角函数 <\'aUfF v  
3.转置函数 <~Oy3#{  
4.得到区域中心点，及区域半径函数 2PC:F9dh\  
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） u- }@^Y$M  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 ~[Z(6yX  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single lxfv'A  
   cax = x2 - x1 .1f!w!ltVR  
   cay = y2 - y1 J6mUU3F9f  
   cbx = x2 - x3 "#8I &xZK  
   cby = y2 - y3 pD]2.O  
   mo_jj = cax * cbx + cay * cby ]$!7;P  
   mo_ca = Sqr(cax * cax + cay * cay) b(~#CHg  
   mo_cb = Sqr(cbx * cbx + cby * cby) ul{D)zm\D  
   cos_acb = mo_jj / (mo_ca * mo_cb) sitgz)Ki^  
   'ff_cos = cos_acb e8&7W3 m  
   If cos_acb >= 1 Then v.53fx  
   nn = 0 : cPV08i  
   ElseIf cos_acb <= -1 Then QN;GMX5&  
   nn = 3.14159265258979 63'L58O  
   Else P6)d#M  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) 5O~;^0iC  
   End If @QDUz>_y  
   'ff_angle = nn MhjIE<OI=  
   ff_angle = nn * 180 / 3.14159265258979 #!>`$  
End Function

'判断点在区域内函数 &-x/c\jz  
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 xM>dv5<E  
Dim aob, boc, cod, doa, sum As Single Up>,~bs]  
  If ppx = p1x And ppy = p1y Then NJKk\RM@7  
     point_in = True T{ lm z<g  
     Exit Function p+2uK|T9  
  End If .yb8<qs  
  If ppx = p2x And ppy = p2y Then (JiEV3GH  
     point_in = True ! &
V,+}>)  
     Exit Function K4^B~0~  
  End If aX~' gq>  
   If ppx = p3x And ppy = p3y Then obw:@
i#  
     point_in = True N]|U-fN\  
     Exit Function }Ub "Vb  
  End If }80n5X<9  
     [ HjG
dC  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) i{PX=  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) s'@@q  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) *kDV ^RBfq  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) CjA}-ee  
    sum = aob + boc + cod + doa 16I(S  
    If 360.01 > sum And sum > 359.99 Then ,0$b8lb;x/  
       point_in = True BCHI@a  
    Else >2)!w  
       point_in = False (yz8}L3  
    End If "2@Ys*e  
End Function

'得到点半径,得到交点坐标函数 RwwX;I"o%  
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() 3'2}F%!Mv  
    '求得中心点坐标 WJL,L[XC  
Dim tt As String JXnPKAN  
Dim rt(3) As Single _E[{7"3}  
    '判断是否平行 9P)
<CD0  
   acx = p3x - p1x I@q>ES!1H  
   acy = p3y - p1y ,K6]Q|U@r  
   bdx = p4x - p2x Dl/_jM  
   bdy = p4y - p2y P-`^I`r  
   If acx * bdy = acy * bdx Then Q<``}:y|>  
      rt(0) = 0 o6KBJx  
      Exit Function C5RDP~au  
   Else ddHIP`wb  
      '判断斜率存在否 pN]Hp"v  
      If p1x = p3x And p2x <> p4x Then Q84KU8?d  
         tt = "ac_n_bd_y" 1I
^Sv  
      ElseIf p1x <> p3x And p2x = p4x Then e#HP+b$  
         tt = "ac_y_bd_n" lE|T'?/  
      ElseIf p1x <> p3x And p2x <> p4x Then \ bT]?.si  
         tt = "ac_y_bd_y" A#  M  
      End If M9OFK\)  
    Select Case tt rw\4KI@ L  
         Case "ac_n_bd_y" t2Y~MyT/  
            'bd线段方程 }C&c=3V  
            k_bd = bdy / bdx VDmd+bvJV  
            b_bd = p2y - k_bd * p2x tl^[MLQa  
            p_x = p1x iRVLo~  
            p_y = k_bd * p_x + b_bd sTqB%$K}  
         Case "ac_y_bd_n" gwYd4  
            'ac线段方程 +Ae.>%}  
            k_ac = acy / acx |B`tRq  
            b_ac = p1y - k_ac * p1x `WW0~
Tp3  
            p_x = p2x uU\iji\  
            p_y = k_ac * p_x + b_ac NR[mzJv  
        Case "ac_y_bd_y" d?P aZz{4  
           'ac，bd线段都要求 ,RHHNTB("  
           k_ac = acy / acx v:0i5h&M  
           b_ac = p1y - k_ac * p1x } 
R/  
           k_bd = bdy / bdx r/T DU[`&  
           b_bd = p2y - k_bd * p2x gPi_+-@  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) |#B"j1D,H  
           p_y = k_ac * p_x + b_ac qpeK><o  
        End Select e4b~s  
      rt(1) = p_x e](=)h|  
      rt(2) = p_y YBO53S]=  
     2yZ6:U~  
'计算最大半径 X m3t xp#  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) HW G~m:km  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) ;hvXFU  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 7a<qP=J  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) M5V1j(URE  
Dim bb(5) As Single kt#W~n  
  bb(1) = rr1 GXRjR\Ch  
  bb(2) = rr2 >cNXB7]E>  
  bb(3) = rr3 @^%_ir(  
  bb(4) = rr4 [mPdT^h  
  nb = rr1 #0D.37R+k  
For i = 1 To 4 0)]1)z(P
 
    If nb <= bb(i) Then d"UW38K{  
       nb = bb(i) GvOAs-$  
    End If 5uer [1A  
Next i '5U$`Xe1  
    rt(0) = Sqr(nb) !y`e,(E  
    rr = rt() ~a%hRJg  
  End If rk|(BA  
         ,<^HB+{Wo  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  %7>AcTN~  

CQjZAv  
有热压工艺方面的人才或者资料分享下； 4^[}]'w  
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 afF+*\xXN  

高手真多！

楼主威武霸气.