c语言有限元
❶ 鍏冭$畻镄凢ELAC骞惰岀増鍜屼覆琛岀増链変粈涔埚尯鍒
銆銆鍏冭$畻镄凢ELAC骞惰岀増鍜屼覆琛岀増镄勫尯鍒鍏蜂綋濡备笅锛
FELAC骞惰岀増杞浠讹纴涓昏佽捐℃濇兂閲囩敤鍏冧欢鍖栫▼搴忚捐℃柟娉曞拰链夐檺鍏冭瑷锛屾牴鎹链夐檺鍏冩柟娉旷粺涓镄勬暟瀛﹀师鐞嗗强鍏跺唴鍦ㄨ勫緥锛屼互绫讳技浜庢暟瀛﹀叕寮忔帹鐞嗙殑鏂瑰纺锛岀敱链夐檺鍏冮梾棰樼殑寰鍒嗘柟绋嬭〃杈惧纺鍙婂叾姹傝В绠楁硶镊锷ㄤ骇鐢熸湁闄愬厓绋嫔簭銆傛ょ郴缁熼傜敤浜庡悇绉嶉嗗烟镄勫悇绉嶅伐绋嬩笌绉戝﹁$畻闂棰桡纴绐佺牬浜嗙洰鍓嶉氱敤链夐檺鍏幂▼搴忓彧鐢ㄤ簬鐗瑰畾棰嗗烟鍜岀壒瀹氶梾棰樼殑闄愬埗銆傜敤鎴峰彧闇瑕佽緭鍏ユ湁闄愬厓鏂规硶镓闇瑕佺殑钖勭嶈〃杈惧纺鍜屽叕寮忥纴鍗冲彲镊锷ㄤ骇鐢熸墍闇瑕佺殑鍏ㄩ儴链夐檺鍏幂▼搴忥纴鍏朵腑链夐檺鍏冭$畻绋嫔簭涓篊璇瑷缂栧啓镄勬湁闄愬厓璁$畻绋嫔簭銆傜敤鎴峰湪瀹夎呬简璇ョ郴缁熺殑璁$畻链轰笂锛屽彲浠ヤ笉闇瑕佽仈缃戯纴鍗冲彲鐩存帴鐢熸垚璁$畻绋嫔簭锛岃ョ郴缁熶笉浠呰兘澶熺敓鎴愪覆琛屾湁闄愬厓璁$畻绋嫔簭锛屼篃鍙浠ョ敓鎴愬苟琛屾湁闄愬厓璁$畻绋嫔簭锛屽苟琛岀増娌℃湁鐢佃剳鍙版暟宸ヤ綔镄勯檺鍒讹纴澶у氭暟浼氶夋嫨骞惰岀増銆
FELAC涓茶岀増杞浠讹纴璁捐℃濇兂閲囩敤鍏冧欢鍖栫殑绋嫔簭璁捐℃柟娉曞拰链夐檺鍏冭瑷锛屾牴鎹链夐檺鍏冩柟娉旷粺涓镄勬暟瀛﹀师鐞嗗强鍏跺唴鍦ㄨ勫緥锛屼互绫讳技浜庢暟瀛﹀叕寮忔帹鐞嗙殑鏂瑰纺锛岀敱链夐檺鍏冮梾棰樼殑锅忓井鍒嗘柟绋嬭〃杈惧纺鍙婂叾姹傝В绠楁硶镊锷ㄤ骇鐢熸湁闄愬厓绋嫔簭銆傛ょ郴缁熼傜敤浜庡悇绉嶉嗗烟镄勫悇绉嶅伐绋嬩笌绉戝﹁$畻闂棰桡纴绐佺牬浜嗙洰鍓嶉氱敤链夐檺鍏幂▼搴忓彧鐢ㄤ簬鐗瑰畾棰嗗烟鍜岀壒瀹氶梾棰樼殑闄愬埗銆傜敤鎴峰彧闇瑕佽緭鍏ユ湁闄愬厓鏂规硶镓闇瑕佺殑钖勭嶈〃杈惧纺鍜屽叕寮忥纴鍗冲彲镊锷ㄤ骇鐢熸墍闇瑕佺殑鍏ㄩ儴链夐檺鍏幂▼搴忥纴鍏朵腑链夐檺鍏冭$畻绋嫔簭涓篊璇瑷缂栧啓镄勬湁闄愬厓璁$畻绋嫔簭銆傜敤鎴峰湪瀹夎呬简璇ョ郴缁熺殑璁$畻链轰笂锛屽彲浠ヤ笉闇瑕佽仈缃戯纴鍗冲彲鐩存帴鐢熸垚璁$畻绋嫔簭锛岃ョ郴缁熷彧鑳界敓鎴愪覆琛岀殑链夐檺鍏冨强链夐檺浣撶Н娉曡$畻绋嫔簭锛屼覆琛岀増鏄鍙鑳藉湪涓鍙扮数鑴戣繘琛屽伐浣溿
❷ 锘轰簬c璇瑷镄勪竴缁存湁闄愬厓杞浠剁殑璁捐
boolInitFft(FFT_HANDLE*hfft,intcount,intwindow)
46{
47inti;
48
49hfft->count=count;
50hfft->win=newfloat[count];
51if(hfft->win==NULL)
52{
53returnfalse;
54}
55hfft->wt=newCOMPLEX[count];
56if(hfft->wt==NULL)
57{
58delete[]hfft->win;
59returnfalse;
60}
61for(i=0;i<count;i++)
62{
63hfft->win[i]=float(0.50-0.50*cos(2*M_PI*i/(count-1)));
64}
65for(i=0;i<count;i++)
66{
67floatangle=-i*M_PI*2/count;
68hfft->wt[i].re=cos(angle);
69hfft->wt[i].im=sin(angle);
70}
71
72returntrue;
73}
74
75voidFFT(FFT_HANDLE*hfft,COMPLEX*TD2FD)
76{
77inti,j,k,butterfly,p;
78
79intpower=NumberOfBits(hfft->count);
80
81/*铦跺舰杩愮畻*/
82for(k=0;k<power;k++)
83{
84for(j=0;j<1<<k;j++)
85{
86butterfly=1<<(power-k);
87for(i=0;i<butterfly/2;i++)
88{
89p=j*butterfly;
90COMPLEXt=TD2FD[i+p]+TD2FD[i+p+butterfly/2];
91TD2FD[i+p+butterfly/2]=(TD2FD[i+p]-TD2FD[i+p+butterfly/2])*hfft->wt[i*(1<<k)];
92TD2FD[i+p]=t;
93}
94}
95}
96
97/*閲嶆柊鎺掑簭*/
98for(i=1,j=hfft->count/2;i<=hfft->count-2;i++)
99{
100if(i<j)
101{
102COMPLEXt=TD2FD[j];
103TD2FD[j]=TD2FD[i];
104TD2FD[i]=t;
105}
106k=hfft->count/2;
107while(k<=j)
108{
109j=j-k;
110k=k/2;
111}
112j=j+k;
113}
114}
❸ 鐢╟璇瑷寮鍙戞湁闄愬厓杞浠讹纴链钖庢庝箞鐢熸垚锲
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