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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。
$ ^) D2 |( d# @ _6 c源代码如下!5 r% r0 O* ]/ B( h4 B
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复制代码
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char msg[256];
. P6 l$ q% q, I' Y" G2 d/ @const double vec1[2]={0.2,3.4};2 E+ N+ O4 h, ~8 C! E
const double vec2[2]={1.5,4.5};
6 U% r( o# J7 S. qdouble scale = 1.5;
& g2 {& b" U# j2 |/ @/ C8 X7 xdouble scale1 = 1.3;
% l+ g/ O. J* Zdouble scale2 = -1.1;- r+ ?1 f- k" v
double sumVec[2],vec_comb[2],vec_perp[2];
& K* n ? s. A' t$ e$ x$ Y. Cdouble oscale1,oscale2;
. Y+ Y$ z& m- l4 I: O) |double tol = 0.0254;
9 M7 d1 D6 T! _! oconst double vec_src[2]={1,2};' A2 B: q$ W3 k: e" H
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];: K: m% k$ H ]
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];* _ }# T6 P8 M( k1 O' f; e( }" I
int isEqual,isParallel,isPerpen,isZero;5 r9 F) }8 @" \4 M. I
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double parameter = 0.5 ;* [0 W6 T( \2 a/ `6 `# r5 f
double pnt1[2] = {0,0};/ z" M0 d0 o$ d' K% b
double pnt2[2] = {2,5};
2 f- ^, f0 ~/ ~double pnt_on_seg;: V5 b6 {* {& m) d2 [. X- A
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//------------------------------------------------------------------------------ I" C- k \0 ~. o- a
// Do something! q) z& x5 B3 j- \1 K4 j6 S
//------------------------------------------------------------------------------* e( v8 r% L# y
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# y+ j; |2 T i2 @( O1 h {void ufvecTest::do_it()
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; r3 e7 e2 [# R7 p9 m" \$ r // TODO: add your code here) n0 F2 m4 t9 N1 b9 o
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@% i# D" }) i; V) Z: _- j /*
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1 UF_VEC2_add : 两个向量相加
. @. Y5 }/ C8 K vec1 + vec2 = sumVec
- U: g+ c- V( z ======================
% f5 h+ Z9 T1 L */
0 p+ N3 i, _+ n1 Z! f# O* N lw->Open();( v( F9 H: s9 { D1 n- t9 K9 P" m
UF_VEC2_add(vec1,vec2,sumVec);. `2 b& I. Y2 M/ W. m; c9 {
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]);
3 Z2 x# A5 O4 j4 A+ M% L# M$ X lw->WriteLine(msg); V3 A' t# i; c3 g) @5 S0 E4 }8 R
& g, x% X9 t2 e( U" r /*
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2 UF_VEC2_affine_comb : 仿射变换
8 s' X+ m% C; N3 j vec_comb = vec1 + scale * vec2;
/ t0 I5 O& [7 `6 y1 I( C ======================
+ K1 l2 E" g* b, z& U3 b, H2 p8 }3 Q */) u0 l# M p: c5 G, a2 _! L
' t/ M' D4 M6 |( v4 K UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);1 W. Y/ V- e* ~0 f
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]);
g) o8 I) g: I2 W* A1 T- F4 h lw->WriteLine(msg);6 x/ i' ^8 [; j# O* E5 _1 c: A
7 I% ?' Y @5 @: K /*
1 E, f6 {1 @2 y* c ======================
9 w- a& S* }0 |" z( C6 B& m" l 3 UF_VEC2_ask_perpendicular : 求出垂直的向量
2 w% u2 }9 d! ^% N( Q* X' u vec1.vec_perp = 0/ P7 L5 C% ~* m7 m
======================$ f! ^! s% b( X
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
+ Y) W2 O$ h+ v# x8 [5 K# v# e$ n sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
( _" [8 I$ x+ J% V5 P) w* d* g lw->WriteLine(msg);
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/*
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% m. b' w0 R) E 4 UF_VEC2_components : 求出垂直的向量 o" B0 d+ P0 {2 E7 l
vec_comb = scale1 vec1 + scale2 vec2
$ |0 V+ `3 j9 a% `( N4 f: p6 H/ j 返回: 0 可计算 1 平行
6 i/ w D, @3 f& ^$ f ======================
1 R& i0 c7 g2 G0 r */
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
* o% s7 i5 @4 ~ sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);* N3 a& x) [- R' C6 g: o
lw->WriteLine(msg);. }. v4 f8 Q9 t5 r& M
/ Y4 D r" \3 B) c /* 1 H4 g& O$ Z7 n( o6 q
======================
d2 G3 w' ^1 G3 F0 @0 v5 T. Y/ Y: m 5 UF_VEC2_convex_comb : 计算点在直线上的位置
. a5 v+ w! }1 a* G# O3 ` pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
$ h$ Y- s3 L4 l. b ======================: O3 N1 A7 N, c: q9 k
*/
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, m' v' ]$ n( C$ V+ G$ U7 o UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);1 _9 h. X+ j1 S! e1 g. f) Y
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
0 v# ?- i& v' k& B lw->WriteLine(msg);
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# A! o% A9 R1 E; A8 v9 U /*
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( o+ ~$ r8 V0 i/ j$ i/ x 6 UF_VEC2_copy : 向量拷贝
+ }2 B9 n+ Y+ v3 q vector (vec_dst = vec_src).
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*/
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UF_VEC2_copy(vec_src,vec_dst);
) ?( F: _6 C k }* j4 l 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 {& S+ M* }1 w2 i) e( n
lw->WriteLine(msg);
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/*
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: i# |" ]- m2 U5 ~3 U1 N 7 UF_VEC2_cross : 向量向量积3 f2 h t2 e8 j
cross_product = vec1 x vec2# F$ o' t' l* }! _
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*/
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UF_VEC2_cross(vec1,vec2,&cross_product);" a m9 C1 N( E: Z
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
5 e8 j4 K; C! Q lw->WriteLine(msg);4 z9 c, C) l* O: c I4 g( P
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) S; z% K+ R4 R6 ?+ Y) @3 n4 e /*
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- i w: h, K6 {- X% i: @/ l3 ~# y0 G 8 UF_VEC2_dot : 向量数量积
; X: c4 y: K6 E3 F3 E9 } cross_product = vec1 . vec2
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*/
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, g$ g+ |# y. c7 d) G- D2 Y UF_VEC2_dot(vec1,vec2,&cross_product);' O ~' z3 m8 J7 |; \) g
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);( E$ t) {2 u( O- H- D
lw->WriteLine(msg);% z0 x- U4 A/ G% a
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7 ?1 ]% e& E5 D" z3 ? /*
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9 UF_VEC2_distance : 两点距离/ C) A R! H u4 |6 i+ s
(distance = ||pnt1 - pnt2||)' C0 G7 H4 O) j0 F4 R
======================
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UF_VEC2_distance(vec1,vec2,&distance);7 {+ P0 X; K- T; F# ], m
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
$ V5 d2 r) f& E% G, E lw->WriteLine(msg);4 X+ W1 V4 K$ \: D& \, T2 u
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======================
' Z/ ]; x0 f8 ^# n/ R$ a1 ` 10 UF_VEC2_is_XX : 判断矢量关系0 e6 L, t; q" J
0 = false0 z$ p+ q- i- N# H* S: W2 G+ X
1 = true
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, z7 R* W. b! G8 o */
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/ {- D6 f& c4 M( M, g7 s8 F3 t UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等" X9 i& g' V% V8 U
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
. i' x$ K/ m. Z0 G! A UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直: g8 I- q, ^- U" [: l# _6 T6 U
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);
/ J. y8 h. ^0 U lw->WriteLine(msg);$ c6 B% b) U. I Q( ^% I4 J
' j4 f1 [" z$ ?* z% u V /* - p7 H' r* U9 Q1 ]
======================2 z Z; N+ s6 y: ~1 t
11 UF_VEC2_linear_comb : 线形组合, o# L* ?7 X% [+ H; F
vec_comb = (scale vec1) + (scale2 vec2)0 l, R9 ~ U) f% z2 q# c& H
======================6 M; Q h& s7 i6 ]
*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);& Q$ [6 `1 [& |' z
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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]);
* O; J- \- j4 S" M; Z lw->WriteLine(msg);
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/* ' a8 y8 g! \. F. R' `7 _* U
======================
8 W8 Y3 J( s/ d! o# y 12 UF_VEC2_mag : 向量模! U N. b( X$ S, q, \
magnitude = ||vec||
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*/
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UF_VEC2_mag(vec1,&magnitude);
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);* J l' X/ J9 v. U1 c8 A. H. `2 [6 G
lw->WriteLine(msg);( l6 u2 c: M5 Z% y
/ S/ [) n9 m5 h: N4 d /* , d- F/ H& g% G; K$ M( U
======================6 l$ @7 c$ e& r# D
13 UF_VEC2_midpt : 求中点
& Q! \- @+ m8 p/ O2 X0 T mid_pnt = (0.5 pnt1) + (0.5 pnt2)
5 \* I0 N! S7 e9 T9 }" r ======================
7 [7 @" B# I- p */
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# F4 e; x: ?5 V, O UF_VEC2_midpt(vec1,vec2,mid_pnt);' y% x: u/ R8 m3 r8 @
$ h/ n3 D% N) z9 i 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 |0 R! k4 V8 {6 t
lw->WriteLine(msg);" {8 @) Q4 j5 Y* ^5 e& r8 j
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/*
! W2 S, v1 |/ q; L9 b4 V5 ~ ======================# v( Q7 `9 w# ]
14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划1 u! V4 p. D1 u' X! ? Q5 `/ W+ r
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======================
/ T- M: j% F/ f1 p$ r* q */
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UF_VEC2_negate(vec1,neg_vec);
6 D8 A! k6 Z3 M, }. [ UF_VEC2_rotate(vec1,2,vec_comb);
& `2 g% D/ i) M; ~ UF_VEC2_scale(scale,vec1,scale_vec);
3 g% H. o! A* {' w# }- j9 `0 I UF_VEC2_sub(vec1,vec2,sub_vec);
6 e- [' A/ a5 d- m& B5 [ UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);2 v6 l/ L) U1 }. U, W9 Y, y
8 C. i3 o2 N* @ a9 D2 o 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],! b3 o/ ?- ]: c$ u! u9 {
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]);
! B. Q6 M2 @/ i1 v% } lw->WriteLine(msg);
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}
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