[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： z<jWy$Ta;  
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图片:2.jpg

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关键点说几个： @W^A%6"j  
1.区域是由点围成的，所以EXCEL中需要定义点的坐标（区域） 3D k W  
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@m
  
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 S3Tww
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以下是几个重要的函数： atFj Vk^  
1.判断点在区域中函数 gR(*lXm5w  
2.计算夹角函数 5sx-u!7  
3.转置函数 H.Z:at5n  
4.得到区域中心点，及区域半径函数 _'dsEF  
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） 1DGVAIcD  
6.文件开启与关闭，这个最常见了，就不说了

'计算夹角函数 >)U 7$<&b  
Function ff_angle(x1 As Single, y1 As Single, x2 As Single, y2 As Single, x3 As Single, y3 As Single) As Single %n9}P , ?  
   cax = x2 - x1 $d!Sl a  
   cay = y2 - y1 >NW /0'/  
   cbx = x2 - x3 wI}5[m  
   cby = y2 - y3 ."PR Z,  
   mo_jj = cax * cbx + cay * cby :j vx-jQ  
   mo_ca = Sqr(cax * cax + cay * cay) -";'l@D=  
   mo_cb = Sqr(cbx * cbx + cby * cby) z(3mhMJY  
   cos_acb = mo_jj / (mo_ca * mo_cb) EH]5ZZ[Z  
   'ff_cos = cos_acb W==HV0n  
   If cos_acb >= 1 Then MlsF?"H p  
   nn = 0 &H,j .~a&l  
   ElseIf cos_acb <= -1 Then <0R7uH  
   nn = 3.14159265258979 JHc|.2Oe  
   Else
OtF{=7  
   nn = Atn(-cos_acb / Sqr(-cos_acb * cos_acb + 1)) + 2 * Atn(1) x"v5'EpL  
   End If fh )QX  
   'ff_angle = nn {`KgyCW:  
   ff_angle = nn * 180 / 3.14159265258979 <i~ ( 8F\  
End Function

'判断点在区域内函数 ?qw&H /R  
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 g;\zD_":l  
Dim aob, boc, cod, doa, sum As Single ]NuY{T&:  
  If ppx = p1x And ppy = p1y Then u-pE ;|  
     point_in = True g84~d(\?  
     Exit Function *2 4P T7  
  End If 5gGYG]*l  
  If ppx = p2x And ppy = p2y Then ?Hf^&yo  
     point_in = True y*\ M7}](  
     Exit Function &.=d,XKN  
  End If 9 o-T#~i  
   If ppx = p3x And ppy = p3y Then Fmt5"3B  
     point_in = True }&rf'E9  
     Exit Function ^gH.5L0]gH  
  End If {.H}+@0  
     OWB^24Z&3  
    aob = ff_angle(p1x, p1y, ppx, ppy, p2x, p2y) 0UWLs_k:  
    boc = ff_angle(p2x, p2y, ppx, ppy, p3x, p3y) W8yr06{]  
    cod = ff_angle(p3x, p3y, ppx, ppy, p4x, p4y) T {(6*^g<B  
    doa = ff_angle(p4x, p4y, ppx, ppy, p1x, p1y) EZIMp8^  
    sum = aob + boc + cod + doa 11X-X  
    If 360.01 > sum And sum > 359.99 Then 27t:-O  
       point_in = True ;r- \h1iA'  
    Else !F;W#Gc  
       point_in = False -YA1Uk  
    End If @a>+r1  
End Function

'得到点半径,得到交点坐标函数 "]*0)h_  
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() A37Z;/H~k  
    '求得中心点坐标 XdLB1H  
Dim tt As String _ 97F  
Dim rt(3) As Single DD"]as"#  
    '判断是否平行 Tp)-L0kD_k  
   acx = p3x - p1x
lb{*,S  
   acy = p3y - p1y a`q">T%q  
   bdx = p4x - p2x x?va26FV  
   bdy = p4y - p2y ["MF-tQ5  
   If acx * bdy = acy * bdx Then rbO9NRg>  
      rt(0) = 0 9i yNR!  
      Exit Function PM7*@~.  
   Else 1f~unb\Gg  
      '判断斜率存在否 T1M4@j  
      If p1x = p3x And p2x <> p4x Then .FqbX5\p,  
         tt = "ac_n_bd_y" Ct|iZLh`j  
      ElseIf p1x <> p3x And p2x = p4x Then <3O>  
         tt = "ac_y_bd_n" 1W$@ V!  
      ElseIf p1x <> p3x And p2x <> p4x Then %:N5k+}  
         tt = "ac_y_bd_y" r<UZ\d -  
      End If h[ba$S,T  
    Select Case tt &=<x&4H+  
         Case "ac_n_bd_y" p8%x@%k  
            'bd线段方程 E2LpQNvN%g  
            k_bd = bdy / bdx dL |D  
            b_bd = p2y - k_bd * p2x `L]cJ0tAs  
            p_x = p1x Pqo"~&Y|~  
            p_y = k_bd * p_x + b_bd -+Kx^V#'R  
         Case "ac_y_bd_n" \[B5j0vV,  
            'ac线段方程 =>)l6**UE  
            k_ac = acy / acx TW{.qed8^  
            b_ac = p1y - k_ac * p1x ~>k<I:BtrT  
            p_x = p2x &]ts*qCEL  
            p_y = k_ac * p_x + b_ac
#=OKY@z/  
        Case "ac_y_bd_y" GBHv| GO  
           'ac，bd线段都要求 2%. A{!  
           k_ac = acy / acx 2?z3s|+[  
           b_ac = p1y - k_ac * p1x QyJ}zwD  
           k_bd = bdy / bdx TlQ#0_as[  
           b_bd = p2y - k_bd * p2x iNe;h|  
           p_x = -(b_bd - b_ac) / (k_bd - k_ac) BCJo/m  
           p_y = k_ac * p_x + b_ac sn@gchO9s  
        End Select )0j^Fq5[+  
      rt(1) = p_x PUuxKW}  
      rt(2) = p_y F7Mf>."  
     k9~NIvnB`  
'计算最大半径 ;Lu%v%BM  
   rr1 = (p1x - p_x) * (p1x - p_x) + (p1y - p_y) * (p1y - p_y) i`z1if6O  
   rr2 = (p2x - p_x) * (p2x - p_x) + (p2y - p_y) * (p2y - p_y) %qV=PC  
   rr3 = (p3x - p_x) * (p3x - p_x) + (p3y - p_y) * (p3y - p_y) .Quu_S_vH  
   rr4 = (p4x - p_x) * (p4x - p_x) + (p4y - p_y) * (p4y - p_y) ]- ")r  
Dim bb(5) As Single )c^Rc9e/  
  bb(1) = rr1 K``MS  
  bb(2) = rr2 ]EnB`g(4;  
  bb(3) = rr3 AT<K>&)  
  bb(4) = rr4 (]w_}E]N  
  nb = rr1 iyB02\d  
For i = 1 To 4
K9njD#/  
    If nb <= bb(i) Then kl?U2A.=  
       nb = bb(i) I+rHb< P%  
    End If g"EvMv&  
Next i A0m  
    rt(0) = Sqr(nb) ?w#V<3=  
    rr = rt() ['~3"lK^O  
  End If s{(aW5$!s  
         f7Y0L8D  
End Function

高手啊.人才啊.

lifei0715:高手啊.人才啊. (2013-04-08 19:15)  URU,&gy=  

j/.$ (E   
有热压工艺方面的人才或者资料分享下； p]h;M  
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

-#<
6  

高手真多！

楼主威武霸气.