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在UG的二次开发中,通常需要使用向量来进行判断,此处给出常用的向量使用教程。以二维向量为例,三维以此类推。/ `8 a* h$ L4 s( C" ?& K: j! J# ]
源代码如下!$ v) a8 W% R$ _! C1 c
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复制代码 / d( [" `9 ~. ^/ k% t% G
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char msg[256];' ]) }4 G0 M. k6 m; k
const double vec1[2]={0.2,3.4};
; B* p* f N% ^4 L, _) g: {const double vec2[2]={1.5,4.5};
9 n) ]3 Z W1 S" r; |) `9 Hdouble scale = 1.5;
5 V; S5 q, b2 y# H% \* p# D# odouble scale1 = 1.3;
# E: W9 F( M4 H; m) u8 O1 a$ m& r9 |, Bdouble scale2 = -1.1;8 z6 D- k& c* d' k1 o, G" |
double sumVec[2],vec_comb[2],vec_perp[2];' {' h+ `! r) Q: q6 R
double oscale1,oscale2;
+ k( e( f* e8 L( vdouble tol = 0.0254;
v( v' f) m3 B( [3 bconst double vec_src[2]={1,2};
& B( a1 p" g6 B, X$ }1 idouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
! J- E; Q+ x* D$ Z% D+ J) ]0 Wdouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
1 O" q9 r* T: O1 E; Z3 Z: {' P' `int isEqual,isParallel,isPerpen,isZero;. s# G' M/ v" G, k. v
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double parameter = 0.5 ;
* z5 Z2 }6 c) T4 _double pnt1[2] = {0,0};7 }- i) u& F- p* |0 E7 ?
double pnt2[2] = {2,5};
; ]+ \- i$ h. Y$ qdouble pnt_on_seg;
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5 w( u2 I" k" o6 r+ r, i" B4 u: N//------------------------------------------------------------------------------
8 q: y! T0 U( g& T; w// Do something) f! Q' o: c( _: M/ |6 {2 p
//------------------------------------------------------------------------------
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4 v# E9 i% Z8 w6 ^6 Y# qvoid ufvecTest::do_it(). I- @1 I3 w4 c: O
{: B2 T& R$ I- }0 x% C% D0 l1 i
4 l9 a% ?+ E5 g! H+ d6 Z // TODO: add your code here: E1 X6 ?, C5 c
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/* ; E' ]2 h) U- n2 U! [0 U% z/ B) t
======================
/ q2 |! C9 j& U! k 1 UF_VEC2_add : 两个向量相加 }5 }% ?/ \* a. |; c
vec1 + vec2 = sumVec
% [/ ?& l+ o* N7 D8 [* \ ======================
! h7 k- K; g# S! j* O; j, `& M */
: J+ z S# R6 u0 o- }+ w" P# }& O lw->Open();7 ]- q6 O& f1 }% t; B: G, P
UF_VEC2_add(vec1,vec2,sumVec);) I' O6 Z% h, u4 O
sprintf_s(msg,sizeof(msg),"vec1{%f,%f}+vec2{%f,%f}={%f,%f}",vec1[0],vec1[1],vec2[0],vec2[1],sumVec[0],sumVec[1]);* P$ b, j9 \& n7 S8 i
lw->WriteLine(msg);% M- e, @( Z3 k M9 X, `
3 D7 H1 G( l7 f- n. n) B3 I /*
, `9 r; k0 j& z5 n ======================
0 z0 n4 b& x0 q# i 2 UF_VEC2_affine_comb : 仿射变换- N2 J; Q0 ^' L- B# a+ f
vec_comb = vec1 + scale * vec2;0 F) W/ g$ l/ ]5 z
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( u5 G- M @3 l' n2 | `2 a6 } UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);& j ?, E2 ]5 p
sprintf_s(msg,sizeof(msg),"vec1{%f,%f}+%f * vec2{%f,%f}={%f,%f}",vec1[0],vec1[1],scale,vec2[0],vec2[1],vec_comb[0],vec_comb[1]);7 p5 |! K1 E3 T
lw->WriteLine(msg); U) h, K/ C0 @) L, q
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/* & o0 b5 M* Y( p5 f' F
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量
# \* w% L4 k' Q9 a9 c3 e vec1.vec_perp = 0
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! W& z$ P4 ]* [7 }: X */
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( p4 q# o2 K, I; F& H: r. G UF_VEC2_ask_perpendicular(vec1,vec_perp);
+ G+ ?9 Q8 u* f/ }1 Y* P/ r sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
- N1 m; `- R4 N, r lw->WriteLine(msg);8 p7 S! g2 M2 m8 j' s& u
: ]( J* K% W& T T /* 9 v6 e' v( H' T; c- j, X
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4 UF_VEC2_components : 求出垂直的向量 1 e7 F0 W9 n, s* S+ m
vec_comb = scale1 vec1 + scale2 vec2
: u1 @$ z j B' X 返回: 0 可计算 1 平行/ o E+ A; i; c9 T& I- U
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*/
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% o4 w- P/ b% e- Y% c+ a6 E int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
1 W6 f9 C5 e2 D% _4 r sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);# I6 c+ q3 t& b2 A' k. Q$ y( G+ [
lw->WriteLine(msg);
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/* ; ~0 L6 Z+ B3 u0 _/ \& _
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
( J* F' X$ M; W4 Y pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
/ g; Q. H2 d: ^ ======================
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' e! b7 K9 v$ i7 ~ UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
, f# D% `# F' N$ \& } sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);" r! _7 e3 H. S0 A
lw->WriteLine(msg);
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======================
) ^$ ~% h' _& r! @1 L 6 UF_VEC2_copy : 向量拷贝
' r1 Z$ j' N) |3 ?9 i1 c vector (vec_dst = vec_src).
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UF_VEC2_copy(vec_src,vec_dst);6 [3 o% `# } T; a: e# p. s
sprintf_s(msg,sizeof(msg),"vec_src = {%f,%f}\tvec_dst = {%f,%f}",vec_src[0],vec_src[1],vec_dst[0],vec_dst[1]);) Q$ |! M: W. O; `# s: o$ p
lw->WriteLine(msg);+ z5 q' ]; h* D4 H. g y( u
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1 {% M& }0 \- p; J! S& J /*
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# L+ P# U+ f) p; O2 k) ^5 R 7 UF_VEC2_cross : 向量向量积
8 Q; S2 E- _* G. z% I5 w7 S P cross_product = vec1 x vec2
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*/
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$ A/ P: X' D. @- Y; R9 l5 Z UF_VEC2_cross(vec1,vec2,&cross_product);
( ]/ |3 p+ w0 v% a' M sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);& g. ^6 C2 c, F L2 p
lw->WriteLine(msg);
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* q4 n1 d$ \1 H& X* R0 A1 H+ H /*
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6 I5 q0 O# [2 @, e+ g( w 8 UF_VEC2_dot : 向量数量积! E: E$ M$ p2 Q
cross_product = vec1 . vec2/ m# z3 i* Y; R0 b6 o& g
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UF_VEC2_dot(vec1,vec2,&cross_product);- p" j/ s# |/ f8 o1 ]
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);1 u5 t+ v5 }7 b% v6 |" W* d% d1 E
lw->WriteLine(msg);' k" ]& @) |- y" K' p- f
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/* 1 V) x) B# Z8 x) U% `4 Z( a
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9 UF_VEC2_distance : 两点距离
# f' t! ]% ~( f0 U (distance = ||pnt1 - pnt2||) w7 K# |* t( Y0 f
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*/
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UF_VEC2_distance(vec1,vec2,&distance);( J: o9 x' K/ ^) R6 J+ b2 J1 M. {
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);" Y2 a: h" Y- Z8 H
lw->WriteLine(msg);3 l( g; J, g7 p) A" ~$ B v; a2 H
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/* 7 n; G7 r- A4 N* g1 h
======================
& o$ a6 o2 k; [. s1 E 10 UF_VEC2_is_XX : 判断矢量关系
7 y3 D! u3 M# s/ ~' q 0 = false# ~) t9 L4 K, c1 E# X5 A
1 = true
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*/
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& ^5 ^: F+ _5 A: `2 d; c( Q UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等2 X( Q: |* f Y' h& m' O0 Y# p5 d
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
) P: U4 n6 e& q2 M: g5 |' ` UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直6 j1 C3 H1 g2 \& a% ?
UF_VEC2_is_zero(vec1,tol,&isZero);//为0( C' t% ~3 X& p- ?7 X' e$ Q
, s/ }4 `3 w9 q5 s9 t$ O sprintf_s(msg,sizeof(msg),"vec1{%f,%f},ve2{%f,%f} is %d equal,%d parallel,%d perpendicular,%d zero",vec1[0],vec1[1],vec2[0],vec2[1],isEqual,isParallel,isPerpen,isZero);! ?/ G' f. ?6 T. c2 Y2 t& U1 M, R
lw->WriteLine(msg);2 U; n+ d/ S% J. d0 u; o& c
2 w# i9 z$ D& u1 }) z& { /*
7 }5 {9 J& F! h) f9 L: } p* s ======================
- f9 F, C+ c" h& f6 m 11 UF_VEC2_linear_comb : 线形组合
|. q( J- L' P7 E: H& U* |- \% l vec_comb = (scale vec1) + (scale2 vec2)7 w1 e/ S2 A5 M1 t0 B
======================
: g) }8 o! w+ Z" ~/ K */
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( t- i+ E0 V* P9 a# A4 i$ I UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);! Y% r" L* b* C* Q. Y
" e1 O) s( x2 z. S: x sprintf_s(msg,sizeof(msg),"vec_comb = (%f {%f,%f}) + (%f {%f,%f}) = {%f,%f}",scale1,vec1[0],vec1[1],scale2,vec2[0],vec2[1],vec_comb[0],vec_comb[1]);
/ f: ]6 j9 r" o, @) Y lw->WriteLine(msg);8 d& u1 j; o% v& Q1 G
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/* ' l7 v7 I8 l' T; I q( x
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12 UF_VEC2_mag : 向量模
$ S) t1 h6 F2 F4 T7 _: _- t# U magnitude = ||vec||( Z% H$ W- ^* @ `, \( r
======================& _2 {4 z0 f4 e" k/ H
*/+ G8 q2 b7 }1 t
- m8 F) x. t2 F0 Q+ K UF_VEC2_mag(vec1,&magnitude);; X+ k, C: Q0 e
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
& g2 m7 p8 c; Y3 r+ t* a lw->WriteLine(msg);
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4 q% E( d6 B% A4 R8 B# J* X6 K /*
: G8 G( y# D5 s. k c ======================- y7 p! q! o y: T J7 J
13 UF_VEC2_midpt : 求中点 % _! O! Z& d& \# @$ c( P7 i
mid_pnt = (0.5 pnt1) + (0.5 pnt2); N1 P+ F8 j" [% O% h9 R! Z
======================$ `" c3 p" m: r+ k
*/
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UF_VEC2_midpt(vec1,vec2,mid_pnt);1 W' \* _2 J, _
6 z6 Q/ ~0 ?9 @( h* p sprintf_s(msg,sizeof(msg),"UF_VEC2_midpt = point1 {%f,%f},point2 {%f,%f} = (%f,%f)",vec1[0],vec1[1],vec2[0],vec2[1],mid_pnt[0],mid_pnt[1]);
; d1 S3 A3 K1 x lw->WriteLine(msg);
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0 h) \# t& }$ t/ g5 C \ /* 5 }3 z* J- ?$ g! j7 Y6 h E; n+ h
======================- g: d7 Q! P2 b3 W
14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划9 D" H$ u1 \+ N
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*/
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UF_VEC2_negate(vec1,neg_vec);
Z. a' y/ l: g4 o$ j/ G7 Y4 N UF_VEC2_rotate(vec1,2,vec_comb);; i, T5 G/ A$ K
UF_VEC2_scale(scale,vec1,scale_vec);
/ H+ f% {. g; u% a; z8 L UF_VEC2_sub(vec1,vec2,sub_vec);
+ ]5 W# q) I2 x) V+ }8 T Y( }2 S UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);
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: X, \- @( y$ Z+ v/ M4 X; l sprintf_s(msg,sizeof(msg),"vec1{%f,%f},vec2{%f,%f}:negative(%f,%f),rotate(%f,%f),scale(%f,%f),sub(%f,%f),unitize(%f,{%f,%f})",vec1[0],vec1[1],vec2[0],vec2[1],neg_vec[0],neg_vec[1],; R# ^' b! d0 ]1 a# D) n0 E
vec_comb[0],vec_comb[1],scale_vec[0],scale_vec[1],sub_vec[0],sub_vec[1],magnitude,unit_vec[0],unit_vec[1]);+ I2 A$ K$ y' p3 E$ I
lw->WriteLine(msg);1 i6 W+ K& W% o
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