[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： 7OWbAu;  
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关键点说几个： }3R13  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） _7DkS}NJs  
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 _lW+>xQ  
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 a(]`F(L  

以下是几个重要的函数： ^w~23g.  
1.判断点在区域中函数 C6_@\&OA  
2.计算夹角函数 "!K'A7.^  
3.转置函数 v&FF|)$  
4.得到区域中心点，及区域半径函数 NrDi  
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） 6a}"6d/sTL  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 {5*|C-WWtG  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single 0^'
B3$>  
   cax = x2 - x1 {J/I-=CmML  
   cay = y2 - y1 Wl^R8w#Z$  
   cbx = x2 - x3 yz+, gLY  
   cby = y2 - y3 mmw^{MK!  
   mo_jj = cax * cbx + cay * cby sM1RU  
   mo_ca = Sqr(cax * cax + cay * cay) h?\2_s  
   mo_cb = Sqr(cbx * cbx + cby * cby) `nR%Cav,U  
   cos_acb = mo_jj / (mo_ca * mo_cb) ?j7vZ}iRi  
   'ff_cos = cos_acb cD1o"bq  
   If cos_acb >= 1 Then &@"]+33  
   nn = 0 0e["]Tlnm  
   ElseIf cos_acb <= -1 Then Uh.Zi3X6}6  
   nn = 3.14159265258979 1gO2C$  
   Else Q4s&E\}  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) (UNtRz'=;  
   End If _nT{g  
   'ff_angle = nn )_zlrX  
   ff_angle = nn * 180 / 3.14159265258979 PU9`
<3z5  
End Function

'判断点在区域内函数 s_jBu  
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 +V v+K(lh$  
Dim aob, boc, cod, doa, sum As Single xSpC'"   
  If ppx = p1x And ppy = p1y Then Y ?]G}5  
     point_in = True sc`"P-J+vp  
     Exit Function ]8U ~Iy  
  End If 9CUimZ  
  If ppx = p2x And ppy = p2y Then wCZO9sU:6=  
     point_in = True 1H:ea7YVU  
     Exit Function 8dT'xuch  
  End If >',y  
   If ppx = p3x And ppy = p3y Then YTY%#"  
     point_in = True !jS4!2'  
     Exit Function [UPNd!sy  
  End If P`s(kIe  
     FyD.>ot7M  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) & %}/AoU  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) <z#BsnjW{  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) 5{>0eFzG  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) O{KB0"s>i  
    sum = aob + boc + cod + doa ZcPUtun  
    If 360.01 > sum And sum > 359.99 Then /rF8@l  
       point_in = True !awh*Xj6  
    Else U
FZ"C,  
       point_in = False bLG]Wa  
    End If rb_Z5T  
End Function

'得到点半径,得到交点坐标函数 gn5% F5W  
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() i^%-aBZ  
    '求得中心点坐标 X7cWgo66T  
Dim tt As String c
qQRU  
Dim rt(3) As Single QJ<[Zx  
    '判断是否平行 4UCwT1  
   acx = p3x - p1x >_Uj?F:  
   acy = p3y - p1y ko[TDh$T5  
   bdx = p4x - p2x PKtU:Eg  
   bdy = p4y - p2y {vfq  
   If acx * bdy = acy * bdx Then CM 9P"-  
      rt(0) = 0 ^tE_LL+ji|  
      Exit Function Qyj(L[KJ  
   Else .)ST[G]WK  
      '判断斜率存在否 iPU% /_>  
      If p1x = p3x And p2x <> p4x Then ^@_).:oX7  
         tt = "ac_n_bd_y" atnQC  
      ElseIf p1x <> p3x And p2x = p4x Then nUqy1(  
         tt = "ac_y_bd_n" VN|G5*  
      ElseIf p1x <> p3x And p2x <> p4x Then ]V<"(?,K  
         tt = "ac_y_bd_y" 7Dl%UG]  
      End If 1pCkWe  
    Select Case tt WFh@%j  
         Case "ac_n_bd_y" UvD-C?u'  
            'bd线段方程 G]lvHD  
            k_bd = bdy / bdx ]C)|+`XE@  
            b_bd = p2y - k_bd * p2x :V
FTVmr  
            p_x = p1x (UzPklkZ  
            p_y = k_bd * p_x + b_bd ??I:H  
         Case "ac_y_bd_n" .}p|`3$P  
            'ac线段方程 )VY10R)$  
            k_ac = acy / acx !QTPWA  
            b_ac = p1y - k_ac * p1x LVmY=d>  
            p_x = p2x DQ5W6W  
            p_y = k_ac * p_x + b_ac @KJV1t`  
        Case "ac_y_bd_y" &|z|SY]DL  
           'ac，bd线段都要求 6PJ'lA;*b  
           k_ac = acy / acx EW;1`x  
           b_ac = p1y - k_ac * p1x ,eK2I Ao  
           k_bd = bdy / bdx hNVMz`r  
           b_bd = p2y - k_bd * p2x P C
sK()  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) )d_U)b7i  
           p_y = k_ac * p_x + b_ac E!dp~RwZu  
        End Select `$Kes;[X  
      rt(1) = p_x ++k J\N{  
      rt(2) = p_y AY@k-4  
     1)Eq&ASB  
'计算最大半径 |`v^d|  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) !=knppY  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) >Qk97we'9  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) 2$DSBQEx  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) s[Gswd  
Dim bb(5) As Single 9F)W19i.  
  bb(1) = rr1 }+JLn%H)  
  bb(2) = rr2 hOn  
  bb(3) = rr3 4L
$};L  
  bb(4) = rr4 [U']kt  
  nb = rr1 q06@SD$   
For i = 1 To 4 D{3fhPNU<b  
    If nb <= bb(i) Then *cQz[S@F  
       nb = bb(i) `=v@i9cTZ  
    End If iW-t}}Z>B  
Next i 'yeh7oR  
    rt(0) = Sqr(nb) U-ULQ|6U  
    rr = rt() I2W{tl  
  End If YZ{;%&rB  
         R{ 4u|A?9  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  :LU"5g  

-Cg`x=G;z  
有热压工艺方面的人才或者资料分享下； 6hR^qdHg  
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 8Ix-i  

高手真多！

楼主威武霸气.