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標題: MATLAB求助 [打印本頁]

作者: 云溪 時間: 2012-11-22 15:13
標題: MATLAB求助
  為什么MATLAB中cos（pi/2)不等于0，而是以分數的形式表示，怎么能讓這些值很小的分數變為0呢？
說明：我在做一個計算時，最后出現的結果是下面這樣的，但是其中的那些分數本來應該是零的
T40 =

[ (4967757600021511*cos(s1)^2)/81129638414606681695789005144064 - (4967757600021511*cos(s1)*sin(s1))/81129638414606681695789005144064 - (4967757600021511*3^(1/2)*sin(s1)^2)/243388915243820045087367015432192 + (2^(1/2)*3^(1/2)*sin(s1))/3 - (4967757600021511*3^(1/2)*cos(s1)*sin(s1))/243388915243820045087367015432192, (3^(1/2)*sin(s1)^2)/3 - (24678615572571482867467662723121*cos(s1)*sin(s1))/6582018229284824168619876730229402019930943462534319453394436096 - cos(s1)^2 + (4967757600021511*2^(1/2)*3^(1/2)*sin(s1))/243388915243820045087367015432192 - (24678615572571482867467662723121*3^(1/2)*cos(s1)*sin(s1))/19746054687854472505859630190688206059792830387602958360183308288, cos(s1)*sin(s1) + (4967757600021511*2^(1/2)*3^(1/2)*sin(s1))/243388915243820045087367015432192 + (3^(1/2)*cos(s1)*sin(s1))/3, a1*cos(s1) - a3*((3^(1/2)*sin(s1)^2)/3 - cos(s1)^2) + d4*(cos(s1)*sin(s1) + (3^(1/2)*cos(s1)*sin(s1))/3) + (2^(1/2)*3^(1/2)*d3*sin(s1))/3 + (4967757600021511*2^(1/2)*3^(1/2)*d4*sin(s1))/243388915243820045087367015432192]
[ (4967757600021511*cos(s1)*sin(s1))/81129638414606681695789005144064 - (4967757600021511*sin(s1)^2)/81129638414606681695789005144064 + (4967757600021511*3^(1/2)*cos(s1)^2)/243388915243820045087367015432192 + (4967757600021511*3^(1/2)*cos(s1)*sin(s1))/243388915243820045087367015432192 - (2^(1/2)*3^(1/2)*cos(s1))/3, (24678615572571482867467662723121*3^(1/2)*cos(s1)^2)/19746054687854472505859630190688206059792830387602958360183308288 - (24678615572571482867467662723121*sin(s1)^2)/6582018229284824168619876730229402019930943462534319453394436096 - cos(s1)*sin(s1) - (3^(1/2)*cos(s1)*sin(s1))/3 - (4967757600021511*2^(1/2)*3^(1/2)*cos(s1))/243388915243820045087367015432192,          - (3^(1/2)*cos(s1)^2)/3 - (4967757600021511*2^(1/2)*3^(1/2)*cos(s1))/243388915243820045087367015432192 + sin(s1)^2, d4*(sin(s1)^2 - (3^(1/2)*cos(s1)^2)/3) + a1*sin(s1) + a3*(cos(s1)*sin(s1) + (3^(1/2)*cos(s1)*sin(s1))/3) - (2^(1/2)*3^(1/2)*d3*cos(s1))/3 - (4967757600021511*2^(1/2)*3^(1/2)*d4*cos(s1))/243388915243820045087367015432192]
[                                                                                                                                                 3^(1/2)/3 + (4967757600021511*2^(1/2)*3^(1/2)*sin(s1))/243388915243820045087367015432192 + (4967757600021511*2^(1/2)*3^(1/2)*cos(s1))/243388915243820045087367015432192,                                                                                                                                           (4967757600021511*3^(1/2))/243388915243820045087367015432192 - (2^(1/2)*3^(1/2)*sin(s1))/3 + (24678615572571482867467662723121*2^(1/2)*3^(1/2)*cos(s1))/19746054687854472505859630190688206059792830387602958360183308288,                                  (4967757600021511*3^(1/2))/243388915243820045087367015432192 - (2^(1/2)*3^(1/2)*cos(s1))/3,                                                                         (3^(1/2)*d3)/3 + (4967757600021511*3^(1/2)*d4)/243388915243820045087367015432192 - (2^(1/2)*3^(1/2)*d4*cos(s1))/3 + (2^(1/2)*3^(1/2)*a3*sin(s1))/3]
[                                                                                                                                                                                                                                                                                                                      0,                                                                                                                                                                                                                                                                                                                                                                   0,                                                                                                                         0,                                                                                                                                                                                                                         1]

作者: 云溪 時間: 2012-11-22 15:28

www.zzoo.cc 發表于 2012-11-22 15:21 9 U1 d4 U: [& k: @' ]; Y
這個帖子好像在哪看過 ...

在哪里？我去看看，這個問題真的讓我很困惑

作者: 路上的黑馬 時間: 2012-11-22 15:55
不懂，這是什么啊？學習學習

作者: 云溪 時間: 2012-11-22 16:22

路上的黑馬發表于 2012-11-22 15:55 / x3 ^/ G% T$ e; h9 w9 r
不懂，這是什么啊？學習學習

這是一個機械臂關節之間的變換矩陣，就是不曉得為什么結果會是這樣的

作者: 云溪 時間: 2012-11-22 20:30
找到一個方法，跟各位分享下，如果有更好的辦法，希望各位大俠指教，下面是我的解決辦法：
cos（sym（pi/2）），這樣運行后結果就是零了，之前的矩陣結果是：T40 =

[  (2^(1/2)*3^(1/2)*sin(s1))/3,             (3^(1/2)*sin(s1)^2)/3 - cos(s1)^2, cos(s1)*sin(s1) + (3^(1/2)*cos(s1)*sin(s1))/3, a1*cos(s1) - a3*((3^(1/2)*sin(s1)^2)/3 - cos(s1)^2) + d4*(cos(s1)*sin(s1) + (3^(1/2)*cos(s1)*sin(s1))/3) + (2^(1/2)*3^(1/2)*d3*sin(s1))/3]
[ -(2^(1/2)*3^(1/2)*cos(s1))/3, - cos(s1)*sin(s1) - (3^(1/2)*cos(s1)*sin(s1))/3,          sin(s1)^2 - (3^(1/2)*cos(s1)^2)/3, d4*(sin(s1)^2 - (3^(1/2)*cos(s1)^2)/3) + a1*sin(s1) + a3*(cos(s1)*sin(s1) + (3^(1/2)*cos(s1)*sin(s1))/3) - (2^(1/2)*3^(1/2)*d3*cos(s1))/3]
[                   3^(1/2)/3,                   -(2^(1/2)*3^(1/2)*sin(s1))/3,                -(2^(1/2)*3^(1/2)*cos(s1))/3,                                                       (3^(1/2)*d3)/3 - (2^(1/2)*3^(1/2)*d4*cos(s1))/3 + (2^(1/2)*3^(1/2)*a3*sin(s1))/3]
[                         0,                                              0,                                           0,                                                                                                                                        1]

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