[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： :U}.  
~'[0-_]=f  
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关键点说几个： $mV1K)ege  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） iE~][_%U  
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 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 oV(|51(f  

以下是几个重要的函数： kkyi`_ZKn  
1.判断点在区域中函数 Z8X=Md8=  
2.计算夹角函数 uX!5G:x]  
3.转置函数 8zMt&5jD  
4.得到区域中心点，及区域半径函数 >o]!-46  
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） ?=bqya"Y  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数  4 Wb^$i!  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 7CK3t/
3D  
   cax = x2 - x1 '^npZa'%sW  
   cay = y2 - y1 Qb.Ve7c  
   cbx = x2 - x3 .+@;gVZx1  
   cby = y2 - y3 0Z m^6T  
   mo_jj = cax * cbx + cay * cby sbju3nvk  
   mo_ca = Sqr(cax * cax + cay * cay) yGxAur=dE  
   mo_cb = Sqr(cbx * cbx + cby * cby) RjcU0$Hi  
   cos_acb = mo_jj / (mo_ca * mo_cb) u/I|<NAC,  
   'ff_cos = cos_acb dHzQAqb8J  
   If cos_acb >= 1 Then sU|\? pJ  
   nn = 0 ^n@dC?  
   ElseIf cos_acb <= -1 Then ]FQO@y  
   nn = 3.14159265258979 Xxz_h*  
   Else +E7Os|m  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) f"{|c@%  
   End If JNJ96wnX1  
   'ff_angle = nn K1gZ>FEY|N  
   ff_angle = nn * 180 / 3.14159265258979 (}#8$ )  
End Function

'判断点在区域内函数 PXx:JZsju  
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 Ue=Je~Ri;9  
Dim aob, boc, cod, doa, sum As Single ZNKopA(=|%  
  If ppx = p1x And ppy = p1y Then  v<_wf  
     point_in = True MyJ\/`8  
     Exit Function ev{;}2~V  
  End If 4X1!t   
  If ppx = p2x And ppy = p2y Then y37c&XYq  
     point_in = True tQ@%3`  
     Exit Function qDVt  
  End If UGb<&)  
   If ppx = p3x And ppy = p3y Then <\fB+ AZ  
     point_in = True XHh!Q0v;  
     Exit Function ROWI.|  
  End If 4ZX6=-u^  
     !lnRl8oV  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) vg"$&YX9"  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) -r'/PbV0  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) \{@n>Mh  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) BKV,V/*p  
    sum = aob + boc + cod + doa moOc G3=9  
    If 360.01 > sum And sum > 359.99 Then # h/#h\  
       point_in = True 9'5`0$,|^  
    Else blk4@pg  
       point_in = False ,bGYixIfYZ  
    End If Sc/\g  
End Function

'得到点半径,得到交点坐标函数 hRFm]q  
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() #1z/rUh`Cr  
    '求得中心点坐标 (rE.ft5$9  
Dim tt As String J/(^Z?/~P!  
Dim rt(3) As Single S%p.|!  
    '判断是否平行 us7t>EMmB  
   acx = p3x - p1x GpZ}xY'|w,  
   acy = p3y - p1y u==`]\_@  
   bdx = p4x - p2x 49Q tfk  
   bdy = p4y - p2y ]=28s *@  
   If acx * bdy = acy * bdx Then '~\\:37+  
      rt(0) = 0 S11ME  
      Exit Function %jErLg  
   Else B'D\l\w  
      '判断斜率存在否 _wp_y-"  
      If p1x = p3x And p2x <> p4x Then B4MrrW4=  
         tt = "ac_n_bd_y" U^&,xz$Cg  
      ElseIf p1x <> p3x And p2x = p4x Then 7@NV|Idtd  
         tt = "ac_y_bd_n" '5r\o8RjN  
      ElseIf p1x <> p3x And p2x <> p4x Then #7r13$>!  
         tt = "ac_y_bd_y" oO4hBM([  
      End If /7fD;H^*  
    Select Case tt (Zz8 ldO  
         Case "ac_n_bd_y" %nV6#pr  
            'bd线段方程 Q`m
9I  
            k_bd = bdy / bdx Tv6HPD$[  
            b_bd = p2y - k_bd * p2x nXT/zfS  
            p_x = p1x &~KAZ}xu  
            p_y = k_bd * p_x + b_bd : =f!>_r+  
         Case "ac_y_bd_n" eD,'M  
            'ac线段方程 _PPn =kuMa  
            k_ac = acy / acx #;])/8R%  
            b_ac = p1y - k_ac * p1x xS+!/pBf"Y  
            p_x = p2x wec_=EqK0  
            p_y = k_ac * p_x + b_ac ''?iJFR  
        Case "ac_y_bd_y" V)Sw\tS6g  
           'ac，bd线段都要求 Ial"nV0>0  
           k_ac = acy / acx p~3 (nk<+  
           b_ac = p1y - k_ac * p1x 1'YUK"i  
           k_bd = bdy / bdx +:kMYL3  
           b_bd = p2y - k_bd * p2x i?:#lbw_  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) O)
8$aAJ)V  
           p_y = k_ac * p_x + b_ac L-DL)
8;`  
        End Select E"zC6iYZ;  
      rt(1) = p_x :Xs3Vh,V  
      rt(2) = p_y yXT.]%)  
     *_sSM+S  
'计算最大半径 M)"'Q6ck=  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) NilnS!BM  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) 2-pv &  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 'mTQ=1  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) -nQ
(.#-n  
Dim bb(5) As Single !<vy!pXg  
  bb(1) = rr1 D4O^5?F)|  
  bb(2) = rr2 GMlJM  
  bb(3) = rr3 #+Y%Bxf  
  bb(4) = rr4 k![oJ.vHD  
  nb = rr1 q&2L@l3A  
For i = 1 To 4 mEg3.|  
    If nb <= bb(i) Then U'LPaf$O  
       nb = bb(i) jx#9  
    End If 69S*\'L  
Next i Q%:Z&lgy  
    rt(0) = Sqr(nb) INEE 37%  
    rr = rt() 5VSc5*[  
  End If 1T}jK^"  
         8[H bg  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  I|Mw*2U  

.*Z#;3  
有热压工艺方面的人才或者资料分享下； q3`~uTzk  
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 q{+}0!o  

高手真多！

楼主威武霸气.