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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。* K4 V$ p2 ?: @- h% z" `) C
源代码如下!
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char msg[256];& Y, t4 M/ Q- ^2 F- \& H
const double vec1[2]={0.2,3.4};
- l) s6 {# T3 k$ J- Q+ vconst double vec2[2]={1.5,4.5};
& t8 K' x0 T. V% t" Ndouble scale = 1.5;. [0 F2 u- `4 t
double scale1 = 1.3;2 g q% C( m: ~/ R/ |3 U% c
double scale2 = -1.1;8 U; \7 V+ }2 m8 K' ~9 a: l# z) b
double sumVec[2],vec_comb[2],vec_perp[2];2 j* z4 B2 h) T( j; y: E3 x
double oscale1,oscale2;7 [- t+ W& \5 T6 {7 P
double tol = 0.0254;
_# d/ y8 R' Z2 g8 u; }const double vec_src[2]={1,2};% o! q. D# N& M; x! c1 g
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];" G- v; C( o( i) v2 P& N7 O
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
4 r9 c' W" G8 xint isEqual,isParallel,isPerpen,isZero; S. O9 B1 v6 J& A
5 \% o1 Y$ J% F5 N3 t9 pdouble parameter = 0.5 ;
1 F" r: V) c7 Z7 w# W! f3 \double pnt1[2] = {0,0};
$ K, |% i" {+ Y' w! N* Xdouble pnt2[2] = {2,5};) F: k+ l8 {" K& @1 ~8 a
double pnt_on_seg;" z& t2 K* ~" C6 k5 i0 F0 a& `4 }
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+ h) i! ^2 h& v" l& N0 D//------------------------------------------------------------------------------% A( _# |8 t" m+ F6 _
// Do something
* F6 B; E- J4 h2 B7 h//------------------------------------------------------------------------------
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7 \5 y' i( f2 m" q# W d/ p2 kvoid ufvecTest::do_it()
& E/ E7 B; f' y% M1 L/ {{# q5 W* R$ x/ e* J$ o, x. q% O3 y
: p* Z1 i3 R4 `# q! {; v // TODO: add your code here1 F5 h1 e$ K$ s; c2 c
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' q5 s g4 R( s /* & R+ H. x. I- r4 T0 j. m; ?# O
======================
% t4 V3 X+ ^9 m/ T9 ^# v 1 UF_VEC2_add : 两个向量相加 + b4 b r0 ^# O1 |. Z! i
vec1 + vec2 = sumVec
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lw->Open();
5 u$ u4 ~3 P9 `' m! X1 l$ B UF_VEC2_add(vec1,vec2,sumVec);8 ~) k$ z* X! A8 u& W( v
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]);
% V* M, U' }2 L1 x lw->WriteLine(msg);
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1 q" \1 O* ~1 m7 H( N0 F /* 1 r+ r% ?2 Z: T, G
======================9 j1 r* M0 r+ L4 ~# k: ^
2 UF_VEC2_affine_comb : 仿射变换
; {/ a) V& o; }; Q2 J# n vec_comb = vec1 + scale * vec2;5 M$ _0 U% S/ y' l$ p+ A$ H( H
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*/
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& a7 Z2 i" u6 b' s" r$ c UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);" Z* d/ b. m/ _
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]);2 _0 z' h# j0 b/ R" K
lw->WriteLine(msg);
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/*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量
. [( ^, n I/ m+ g vec1.vec_perp = 0, E" [4 w" v) ^) S
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' z2 I; ?7 T; r UF_VEC2_ask_perpendicular(vec1,vec_perp);
1 l1 ]1 C7 H, `( o1 b6 R0 e sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);/ T+ t' S2 |+ W& J( x& N
lw->WriteLine(msg);7 e/ o3 ^5 n! L+ g+ G% I& _8 T
7 Z; C8 A+ d9 e" J1 [+ u3 s /*
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' q9 ~: N+ M5 w4 @% E w 4 UF_VEC2_components : 求出垂直的向量
6 {7 P& l/ J3 X& S vec_comb = scale1 vec1 + scale2 vec2) s0 y$ q1 |/ F! j
返回: 0 可计算 1 平行
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*/
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
" ^; p9 p8 S- d- h/ M3 y4 V3 C2 E2 Y sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);% }1 U5 F4 F* e# | x
lw->WriteLine(msg);! v2 [4 A" ^/ }3 I5 v% S& H
% ]2 J c' n) i% w /*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
- @3 ]) T; k' z& }) m& j' {% F& ]0 x9 G2 A pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). # f2 z4 d4 W$ ~3 |% u" l' O
======================
1 J) V5 x$ y- J4 f9 N- r */
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);# B, A6 D6 K `6 P; i$ {$ v5 z$ \, |
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
+ a0 G( H8 [ [. S/ y lw->WriteLine(msg);
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/* ( D* s9 J- w2 I
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6 UF_VEC2_copy : 向量拷贝5 l% u' g4 B7 H M w4 j P+ ~8 F
vector (vec_dst = vec_src).1 {) k' Z: X& r$ n
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*/
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8 j* [( e/ p, Q4 R UF_VEC2_copy(vec_src,vec_dst);, S& r% f9 H6 f2 y
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]);5 w1 j! Z' g) I5 V; d+ J) V
lw->WriteLine(msg);7 {& k$ H9 j7 [
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9 v! S, ~0 ^' v! ~ /*
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7 UF_VEC2_cross : 向量向量积5 x- ^2 L# B" B; s1 N
cross_product = vec1 x vec2
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6 X U9 E C% y, ^ UF_VEC2_cross(vec1,vec2,&cross_product);- v' H$ v# B9 ]- F' v0 W
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
' ^' A9 N# z' @+ I lw->WriteLine(msg);% } i( S! ~% `# S6 L; v8 v8 P
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% U' C3 {- k7 V6 u4 k( H1 ^ r /*
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8 UF_VEC2_dot : 向量数量积
9 l$ g7 }! P- Q6 Q% V* _2 p* | cross_product = vec1 . vec2
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*/
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8 t& {4 j X& W2 h: R% ~" I, L( o, t- { UF_VEC2_dot(vec1,vec2,&cross_product);
, u9 b% v z# U& }# z3 @ T) [ sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);8 k2 ]6 v& X) F
lw->WriteLine(msg);8 J# P: D: E8 P4 s6 r- X
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======================
k$ g3 t$ ~+ v9 _6 F+ |6 b 9 UF_VEC2_distance : 两点距离% K2 T, ]7 ?2 j* n* j
(distance = ||pnt1 - pnt2||)
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! P8 J/ K; H4 Z- w+ b* U6 T UF_VEC2_distance(vec1,vec2,&distance);2 S0 E& t, O) |- E1 G! M
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
- y$ V3 e2 K8 ~ lw->WriteLine(msg);6 {4 K% y& _) J5 o- {; A8 ]
+ X( R; T% K- D7 G& } /*
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/ P1 s6 q1 F4 q7 a/ _7 d( O6 p 10 UF_VEC2_is_XX : 判断矢量关系
$ [3 R: W- f: }( y1 q 0 = false
& Q9 z2 V' o( | V 1 = true
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等2 n: ^9 ^8 {0 A0 |- W" [9 Z
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行' }: G6 c- D9 O' v
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
/ k$ L+ y$ G7 B# h. F( O* e( f1 Z. r UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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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);0 f& V% f1 ?& e* V7 Q3 o
lw->WriteLine(msg);7 p. P( d# V& n: r2 j$ A2 ^& {% ^
; V) g! E+ L4 K! G% N8 h /* 5 F z: w, ~' u7 u$ a2 q G
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11 UF_VEC2_linear_comb : 线形组合1 U5 o! M4 }) y
vec_comb = (scale vec1) + (scale2 vec2)/ {1 J- y( _# _. O- A
======================
: H1 n( e% @* J3 r */
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: z W, \. n1 ~ UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);. J2 r, |: V; {2 A/ T; S. P
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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]);; J$ p% w* J. t
lw->WriteLine(msg);; Q e' i( p: p- G' t+ O
6 g9 a% ^6 Z @0 }/ F, ?5 C /*
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12 UF_VEC2_mag : 向量模; k s8 F/ _! M% F X9 R
magnitude = ||vec|| [& S+ j! T; z
======================
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( y% w: d. p7 z' _& I6 L$ R+ s UF_VEC2_mag(vec1,&magnitude);$ {/ o, u; S0 f+ B
: p% X9 [- s+ T. i- {1 ` sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
3 ^+ d: V- G/ v+ j lw->WriteLine(msg);
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/ A& _: r6 }2 y2 z" ~- z: a% o /* " t8 v" E! F$ L F- q/ D7 v
======================
$ Y6 J' L4 o9 k! r; B, E 13 UF_VEC2_midpt : 求中点 % o( v1 u) [3 m1 p# |
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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*/
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) G, n2 ?+ G4 G* U( L UF_VEC2_midpt(vec1,vec2,mid_pnt);
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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]);
3 x7 N# u. v" D" a! d& x lw->WriteLine(msg);& ]6 u" p2 @" _( @
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/* 7 T, }& e6 K; y4 t
======================
' a5 x" g( l# L3 B8 h 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划1 M c2 X! I8 I V
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*/
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" N, Z' r& g7 Z UF_VEC2_negate(vec1,neg_vec);
: ?% S1 S. o) z& a) F UF_VEC2_rotate(vec1,2,vec_comb);
& ^/ O; {; x- `: r* g Q, z- ` UF_VEC2_scale(scale,vec1,scale_vec);
% s+ F% p( F% @/ _* Q. {1 x UF_VEC2_sub(vec1,vec2,sub_vec);
6 L0 v: N* h4 |# X) u: V8 V* M UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);6 V& N7 F* k8 f8 N
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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],
- F- |4 M4 I2 r* ]. R+ M 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]);
/ W3 S6 M/ I+ P: ^" U lw->WriteLine(msg);; t& ?% I" N7 G8 t8 ~4 z
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