function solve_nonl_single18 M: r$ u% M( [$ Y" o3 I9 S
clear all;clc. j! ~1 b. A, b2 ]! M
format long
/ x, c+ L# I1 x/ I9 ]8 Aglobal a
! \) \( l* k# H1 na_span=linspace(-0.06,0.06,200);& i. J6 X0 o+ L; S) R L6 f9 x
n=length(a_span);
A3 ?4 ~' C6 g" @x0=1e-9;
) y4 Y3 {" U7 r Voptions=optimset('Algorithm','trust-region-dogleg','TolFun',1e-12,'TolX',1e-12);$ {7 s) }1 b: L" A
for i=1:n& j s; o+ v; c" o. _( E% C
a=a_span(i);1 v* G" F/ h& E6 D5 }" N0 y2 X$ t: O
x(i)=fsolve(@nonl,x0,options);
$ \5 P7 {- F" k; S8 ]" h: z) C y(i)=nonl(x(i));- A& X F0 G2 w5 m: V. c8 q4 g
end
8 V" t; q( P: B6 b7 Ia_span', x',y'
x" v( W, |+ n$ g/ pfunction f=nonl(x)
1 O! h# B4 S! T. w# ?7 N; p* Q0 vglobal a
3 H) c) f9 j' H/ w; {f=1/2*(285+60)*3000*sin(x)-1/2*(25*sin(x)*sin(a)+(60-25*cos(x))*cos(a))*3000*sin(x)+60^2*25*sin(x)*a*sin(a)-60^2*25*cos(x)*a*cos(a)-60*285*(25*cos(x)*sin(a)+25*sin(x)*cos(a));. [7 u R7 L3 s" {# |9 W% { J
* v5 Y9 s) S: w+ `& b& J \運行結果 ans =
6 h# X2 E. l2 M( B5 \" A -0.060000000000000
) R0 G' \ x+ b! |! X- b -0.059396984924623
. t4 h2 }2 a& r3 }- A& p: @ -0.058793969849246& D, ^, G& Y' Y( d3 m: E& P. W
-0.0581909547738690 h6 I; s" l% l' y% l [& p
-0.057587939698492
7 N& F" J! y9 p* i -0.056984924623116( J* D: J- ]! B, p
-0.056381909547739) K7 X9 M' U; X, f$ F0 z& N
-0.0557788944723629 u0 T% j+ a$ D
-0.0551758793969851 m" X* n) A! u6 @4 O# T) \
-0.0545728643216085 [* j4 ?/ k1 O/ m g
-0.053969849246231
* _+ |/ Q; p, z- [1 ] -0.053366834170854
! Z, x# x! {! G3 d. a4 l -0.052763819095477
2 N* C L% Z2 M -0.052160804020100
! @* X* ^. U. ^1 w$ t3 \" ~ }2 f -0.051557788944724
9 ]' n G. }4 [# B8 A -0.0509547738693470 s Y& { G0 r' |- {
-0.050351758793970# ?: P' F, k! M* V' T# w$ q
-0.049748743718593
$ d5 m9 w% H( G* ^5 S -0.049145728643216
, ~4 M) T6 K. ]' N! P6 _$ V -0.048542713567839
) _. \+ W& V4 N+ l -0.0479396984924622 v1 C8 E1 F! @# r0 [
-0.0473366834170856 b, F( D9 f" B9 t
-0.046733668341709: o0 H' v& ~1 m7 ~
-0.046130653266332
, q0 d6 h% K4 _3 ~ -0.045527638190955- ]7 S. N) _) M
-0.0449246231155784 \9 K, ^ F0 N$ R& a# O+ Q3 U
-0.044321608040201& b J1 d$ h$ S7 z1 P
-0.043718592964824( u: l) N# c3 }* j {9 j9 K$ o$ `0 \
-0.043115577889447
( d. a4 v# @3 @! C- c -0.042512562814070" d* K6 t! B5 r
-0.041909547738693
6 {6 G4 @+ h$ O& |7 m0 w -0.0413065326633175 d' X) P2 S' d0 y; w
-0.0407035175879401 f7 \; r1 g+ _8 s4 O9 x
-0.040100502512563
& d" u! d( N% [! T2 W) ?# v( K -0.039497487437186
2 S! d+ d6 h9 w -0.038894472361809- C( F8 d1 a4 f2 b
-0.0382914572864327 `4 o$ s& ^+ g/ {& U
-0.037688442211055* ~; M. y! m/ C7 f0 o0 Q
-0.0370854271356787 x6 u( ~. A8 i" F. g+ _0 ^5 ]
-0.036482412060302# A W6 f& P; |. S4 f
-0.035879396984925
% w4 W$ z* b6 P" W+ X, m: ` -0.035276381909548
7 |. @3 b: p+ [) n3 S9 d -0.034673366834171
; Q, O# j, v3 V -0.0340703517587946 [% D) u# @5 o! i6 X6 R
-0.033467336683417" a: T# ]0 P% F
-0.0328643216080409 f! z# `& X1 `$ B1 T( N
-0.0322613065326631 x, D8 X: n! X3 s1 ?5 R
-0.031658291457286
, @* {; g) F. }! C& _! k7 x -0.031055276381910
; H8 u0 `# r/ A) v' K) |2 ?. n -0.0304522613065335 ?! W% C: ~- E# h
-0.029849246231156
' r3 J) |* N/ X/ b -0.029246231155779
$ Z# H3 X; `, U& v -0.028643216080402
. x9 t9 J+ [+ S8 ]+ o0 L( Q$ K -0.028040201005025$ _ W% z C) v* N6 U4 N
-0.027437185929648
* y8 Y7 P" B" }2 Q; p& H8 Q( j -0.026834170854271
$ [4 y) N' V( n3 Y7 o -0.026231155778894
: @4 Q( I, _, _, q6 Q; B -0.025628140703518
9 I( T( D- ~2 r2 N C4 B" H) g! a- k -0.025025125628141
! f, H+ X* Y0 F2 @) Q -0.024422110552764
/ `% X$ L% w5 ~ -0.023819095477387
f$ b# k9 s V" c7 F/ n -0.0232160804020104 U$ b; G' F9 m
-0.022613065326633
, h. ]( V' D* {- T -0.022010050251256
0 c" o U% ^9 M O! l -0.0214070351758792 i. F* X" Z% k! k
-0.020804020100503
* z3 @* a( [( y0 f* O& }, `( h -0.020201005025126
; x, w: |# u: ]( q, l# s -0.019597989949749
* C2 M- s& q6 _, e, L- ]6 w -0.0189949748743729 ?2 Z* _0 e; s' H
-0.018391959798995
/ r+ \) R6 \) O -0.017788944723618: t' l7 z7 M( V( E2 h& J$ G
-0.017185929648241
5 s i" C! C7 ] -0.016582914572864
+ N) t% s3 I3 U -0.015979899497487
8 a$ C" K. v1 W" h8 ` -0.015376884422111/ }/ p+ ~( C+ w
-0.014773869346734 ^* `4 \0 e& C3 w- L* J- j1 O
-0.014170854271357
( @! C" Y. h! @/ l( \8 a2 x -0.013567839195980
% ^5 y, p3 d. t3 {) _8 R -0.012964824120603: B9 P6 h5 ` p$ A' `
-0.012361809045226
# w$ ` n% m2 J, d, U( t -0.011758793969849
! T7 |: u4 \% l/ m- d -0.011155778894472
1 B* ]' o+ ^9 z4 L+ D6 y2 N -0.010552763819095! G" Q. O/ h$ M* F$ i
-0.0099497487437194 i$ K, i' u8 Q2 N( y* a O# f- L
-0.0093467336683426 ? A6 f' u D& U/ _9 T6 q) H* @' x
-0.0087437185929654 J- t q, ~$ O' W2 s
-0.0081407035175881 p' O, k* m4 r1 p; v
-0.007537688442211- m3 m$ t& {7 {# u! S- t
-0.0069346733668349 N' W1 |* h( Z$ F" o) R/ q2 `
-0.0063316582914578 I' ^2 r+ Z% l8 Y5 i% k& c _
-0.005728643216080
4 }% Y' G9 j' |9 t -0.0051256281407044 C7 r+ d- W5 V5 R2 P7 N
-0.004522613065327
4 R* @6 t% z3 G -0.003919597989950
2 V* R( ~) ]/ ^9 m; b7 t -0.003316582914573
0 a4 k# Q$ |8 J' e; _ -0.002713567839196: c! l# U v& m0 U. q. q+ o
-0.002110552763819+ ]* @) g s7 ]
-0.001507537688442) l+ Q4 h2 Q. W! y
-0.000904522613065
9 m3 r/ x& N8 S; M( Q" q; U8 ?4 h -0.000301507537688
$ E/ X3 N. t+ A9 ^ 0.000301507537688
) w! ^( |, m4 y: ? 0.000904522613065; u3 C7 `( j6 J f: {+ l- p! t
0.001507537688442+ A0 d. X8 e X6 h
0.002110552763819
0 [* {/ ?1 p3 Q3 s& k8 D- q 0.0027135678391962 s7 u8 m" t2 n8 H* I" j7 u
0.003316582914573* `/ M) m: k$ M$ R( r) T
0.003919597989950" u6 D# Q# ]! N+ k) v/ g
0.004522613065327. T5 z; Z9 f* ]" p; K+ F
0.0051256281407048 V0 q7 e' ] o/ F) e) q
0.005728643216080
& U6 I. q! w# x, T+ z 0.006331658291457
( t8 g$ z; k6 v& q: R1 h: t" J4 x* L( J 0.006934673366834' V* c/ ]8 s$ f( u0 a# g
0.007537688442211' [/ ~/ K* ]8 s2 \
0.008140703517588
1 i8 b: `; {9 g+ O; u 0.008743718592965# q- y% W* \6 R9 O( ?
0.009346733668342+ ]# d! S; s2 P( t/ {. y
0.009949748743719
1 s5 L' A" f/ |& ^' ~8 | 0.010552763819095
! N; V$ T. E5 L1 T+ Y. ` 0.011155778894472
6 u4 ~( [7 U u- q& U* j* p6 \ 0.011758793969849
+ e q. B! w+ l# a# `* j 0.012361809045226
9 d; Y) D5 O2 D8 u8 J' ^, d% a 0.0129648241206035 y8 G) p5 n3 H/ }) w
0.013567839195980" u4 I# @; Q5 o+ `3 g
0.014170854271357
( v% d. m* }3 F# p; a0 L1 e5 G& t 0.014773869346734& K& z& y9 O' q% o# L8 Y5 d
0.015376884422111! M+ K7 P$ L6 t. j4 n
0.0159798994974876 E+ {8 V: u9 x, }( { l. U/ O" H6 `
0.0165829145728643 K1 [! C2 @" K! H" n
0.017185929648241: o0 M# z: l( a" o3 n6 g! f/ E# X
0.0177889447236181 {1 d( N' D. B# e$ @- i1 `) [
0.018391959798995
2 e+ D! I8 b! s! p+ n" l- O 0.018994974874372- h+ d9 B- u$ ]9 }
0.019597989949749
5 K- h5 x& r1 u7 N1 Z/ [ 0.020201005025126
0 H( }8 j$ z& ?1 e* H( H8 f 0.020804020100503+ k- {: x" m4 v R( i6 u5 ^+ D
0.021407035175879- f7 Z3 c* x) G! B; P
0.022010050251256$ f% r/ k' E% c4 T
0.022613065326633: b9 m8 }7 i O! b" r# k2 N
0.023216080402010" O7 P, E1 s2 k$ J- g
0.023819095477387
z! u) G" _1 l# [" O) H U 0.024422110552764. m; S0 f9 c1 a
0.025025125628141
/ F1 G6 G0 B# H 0.025628140703518% ~3 j1 Z1 d% ?0 r# Y& |
0.026231155778894
, D) u& }9 H+ r4 B- k 0.026834170854271; i4 T) B3 C; S% N. b
0.027437185929648; ?1 p9 q8 f3 Y5 \/ V
0.028040201005025& ?5 C# ]+ t) E. a9 N w( b% z
0.0286432160804021 D0 i, H9 o: K7 W$ m- f
0.029246231155779; j( l* n* V C; ? Y
0.029849246231156) W; P% U: r& J) \, t. a4 w$ @
0.030452261306533# h. H. i5 i3 G: j+ [
0.031055276381910
0 r( _4 K; i+ i 0.031658291457286
* [+ ]1 j+ P+ V1 L3 N# K( G 0.032261306532663% ] N- {, N' F# I. c3 d$ y
0.0328643216080405 Y7 f9 a' D! c9 n' t* s
0.033467336683417" V; X( r5 L# Y' J& V
0.034070351758794
4 z4 n0 l% F" V- i0 { O& k$ b 0.0346733668341716 h* r( a' @1 N4 G
0.035276381909548
# p ]9 y% t! G" h, s, A 0.035879396984925
; x$ ?$ w# m$ K o4 K 0.036482412060302/ _4 j/ \7 {; [% F; U
0.037085427135678
0 t4 M* b: ~! Z2 z3 ]# d 0.037688442211055$ j( i B5 J) p+ F% B8 r; X
0.038291457286432 ~+ K6 ~5 g, I+ l, B$ B7 a+ @1 [
0.0388944723618090 }! b5 K, R; O" l+ Z" O
0.039497487437186% R% i" L# K+ e9 D1 H0 |' o
0.040100502512563% @# ~ S3 L/ N% W# O
0.040703517587940( _0 i- A) N; P
0.041306532663317- V) x- r0 y6 l9 H5 X
0.041909547738693
: G8 D0 W# {7 N' W 0.042512562814070 h- z; \9 H; X
0.043115577889447
% ?/ P& N2 Q/ y. S0 T# v0 e 0.043718592964824
# h- i2 @, v9 I) _* {- z 0.0443216080402014 u8 Y' ~) T. t& b9 ~. z! V
0.044924623115578
! ^+ h+ _/ I) Z+ p' ^9 g+ U, X& k 0.045527638190955" K9 e: I$ V6 L- F/ g& A
0.046130653266332/ I; T- S8 z5 ]3 P3 y
0.046733668341709
% ]' l% f- v8 J4 P: B$ z 0.047336683417085& d+ G- E g( m. _7 }7 h5 `
0.047939698492462% r+ T& j: w7 Q, i1 B4 }9 S) C
0.048542713567839
T$ S" O4 w$ a: S 0.049145728643216
% G; \$ Z. h$ R/ l# G, m 0.049748743718593. E$ `: Z" R9 Q" @+ H* L
0.050351758793970
# a7 N3 p8 v5 m9 C/ h$ |; B9 A 0.0509547738693474 t6 t! O; |, [$ J& L7 O# ^1 I7 v% P! [
0.051557788944724
3 C7 N& V2 e' T( ?* P 0.052160804020101, t) R! A9 R3 ^) _( c# Y3 e
0.052763819095477
( Z4 \& m* L5 Q. U2 C4 x 0.053366834170854* d J- [) {3 r4 s( U
0.053969849246231* o" d; G# P: I A' Q% s
0.0545728643216080 P& |* l& x/ a k
0.055175879396985. K( r" g+ q; ~! D! i5 C" ~& e
0.055778894472362, w1 e/ x7 n' o( L
0.056381909547739
( a$ P; r! `0 r 0.056984924623116 r$ }1 K9 `7 B
0.057587939698492
! s E! }) _4 z$ a" n 0.058190954773869
. b7 c, ~/ [4 X) r2 V M+ G 0.0587939698492463 b( e; \% G, j1 C
0.059396984924623. R5 ?8 R4 h3 n/ q* L9 ~
0.060000000000000
e1 X. _1 |0 z X; N5 j& }# D: N. ^- A1 I2 a, ~; i: I. g
( _4 S" H+ O7 V% q" r2 [: d
ans =
% G$ E7 G/ _8 A% {; p
6 G. G6 J% F" n- E8 C) K -1.033689540653716
! M3 @2 V1 _. m# c -1.013619827890691
# O' e9 n& n- h! Q -0.994621366531083
0 F; k8 z4 W, | -0.976510534039504
# a" f7 u& H5 Z5 A, t: | -0.959151639002957( t% I/ f9 H% \( w0 B( W$ j ]
-0.942440908631668
3 g( Z/ w u T9 F3 B# O -0.926296779035772
0 N9 _! z0 q) Q -0.910653694311287( o! B+ `5 S- R% U
-0.895457976752101* i! p# M. `9 \% l4 I
-0.8806649792649755 C, t! L* Q" x+ K7 A2 y& F
-0.866237063671064, j) a8 @+ S& h6 i; y# ^
-0.852142129100671
0 r `2 d+ u; W+ p: M7 `. c. L' t8 B -0.8383525174605601 y4 b9 c- w8 N7 @/ ]
-0.824844183890339# y0 y# c3 J" v* v
-0.811596057546419
: m4 T+ E; W( H. J: N2 k -0.798589541746273
0 w( X$ O" O" U -0.785808117918193
- ~: i; }! N+ C6 E -0.773237028068739
6 S+ p5 ^7 y0 W( o1 q. d -0.760863017467603 z7 ~/ E6 a+ g; n2 M! T3 l7 k. w
-0.748674124097121' l2 S0 K5 I9 j, P. y
-0.736659504835453! Q3 p) U% |7 c" m9 A6 ]* ~
-0.724809290796292
U/ q% y2 }4 Z: b1 i9 Q -0.713114466033284
I9 U- j: y$ E/ L( v s -0.701566765133452! O" F1 u. a N1 G! S
-0.690158586205827/ z2 g9 X& @6 Z( a$ |' r% i& H
-0.678882916512848# ?) Z% o. {, ^. Y9 S+ C
-0.667733268556930 a1 X, E) F, ^2 Q8 X
-0.6567036248699293 w; H1 |. {2 ` X
-0.6457883900909379 {9 [ x& u: _ l% f
-0.6349823491828922 @0 @3 z8 x' u0 _! ~5 x
-0.624280630847343
/ u4 _6 `5 m! p: X -0.613678675363112& K; Q/ }7 o) G/ D% U3 Y3 V" z6 s0 ^
-0.603172206207723
8 Q) ]/ U) O0 F! U# T3 \/ r -0.592757204927887
' b7 C$ Y1 ^, g$ e1 ]+ B% S -0.582429888812360
- ?; G; D T# p* ^7 k5 C5 D -0.5721866909916120 x1 n' t! C& g
-0.5620242426469652 {8 k6 H7 o! u% e R+ j6 g
-0.551939357060015
! n6 y* d! s0 d& { I+ B0 `; \9 C -0.541929015272840
3 ?8 m' `# q$ r0 i: n -0.531990353162879" e% S e/ e, G4 ? x
-0.522120649763841
5 @3 A( m- @/ d8 h -0.5123173166875127 Y3 G$ T0 [/ Z# r
-0.5025778885209210 y ^' t, I" _9 K) r
-0.492900014089836
: W) n) Q% b, e/ t7 P9 u8 V -0.483281448493885. {9 y( P7 T5 u4 {$ G& }! M
-0.473720045830499% H+ i8 {0 |- b. |+ |& ^ ~5 V& `! @; |
-0.4642137525352636 |. F7 }8 ], s2 u' |- t6 S- f
-0.454760601275071
* A; J4 ?" m& p+ g- \( q -0.445358705338140. a7 y8 z* @+ E: J
-0.436006253471471
3 K# o8 O( ]& G5 O -0.426701505122098
9 ?$ @# u7 G0 f. _ -0.417442786043397+ N) m9 \) h) H. t! |
-0.408228484231992
9 f+ Y2 Q7 Z0 K+ ]) F -0.399057046164675
; c' B l0 R. j -0.389926973307911
2 j' W- a3 g$ @6 @ -0.380836818875499
1 ?$ n% K4 k$ v+ K3 S2 n -0.371785184812454& Q0 K9 E7 J/ g E
-0.362770718985392( n/ b0 W+ U' W) e o* H* `
-0.353792112561766* }9 y, w/ Z6 Q9 S
-0.344848097561934" j! t' J/ x" V2 U$ P
-0.335937444569670: h" d2 m- y9 M$ O1 R0 o4 R+ J2 z
-0.327058960588106. ^9 @$ h0 N3 {( j
-0.318211487029265* c- r8 ]2 z3 ]# K
-0.309393897826506
7 N% O0 [- T& d; y. C1 y- ?+ ] -0.300605097660121: t# z! U: y* C5 U) v. [
-0.291844020287246
9 a& F# `$ I2 M) @ -0.283109626967980' d; p$ a( H! |+ z9 N+ x' \1 I! Y
-0.274400904980369
5 T- m+ B% _9 `8 x; b -0.265716866217476
5 V; @$ m; s- Y- F) G -0.2570565458603811 F" D- \8 }' ^! Z: p. R1 @
-0.2484190011214434 x) C( o* z3 f6 |7 d- C* W4 B
-0.239803310052597) U/ Y( W7 F/ _3 Q' `. B: }4 R
-0.231208570413935* K7 T2 ~, `1 h
-0.222633898598121. `# \! ? _9 ~8 T: U
-0.214078428606594
6 S5 n' o. n) ^$ W, b -0.2055413110737915 [# Z- X: s( U) t. H# p
-0.197021712335900
5 K) H. L* a+ E3 {* k! ^5 i0 Q -0.188518813540922
5 Q7 Y" }# k! ~" _+ O$ M -0.180031809797061
. a" b8 \$ [1 e -0.171559909356608
: J9 E7 W. T1 H( D -0.163102332832782
) l5 R: q. F, a -0.1546583124470610 @( K' m& v" i0 Q% B5 h$ A
-0.146227091304754! N. X: G3 a1 M$ {* J* U
-0.137807922696691' R$ s& U; F9 C, {: |6 Z& N* a# w
-0.129400069425041+ @3 ^+ \' i" e
-0.1210028031513718 }0 M1 a) l9 R9 F U% T' e0 F
-0.112615403765200
- T ?" \: E, | -0.104237158771362
, \+ E, e. m: o$ ^ -0.0958673626946132 x. R- y$ t( O5 V b& r; |
-0.087505316499959+ M# P3 B3 d f3 q2 {
-0.079150327027304
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樓主: shouce
