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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。7 ~' Q6 [" T: ?, s- D e5 ]! r8 P
源代码如下!7 i6 Y# X; \4 K
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* [% K2 a1 t/ wchar msg[256];" F. P: b8 \2 b/ n' a
const double vec1[2]={0.2,3.4};6 [: K2 f( g( H4 A2 H
const double vec2[2]={1.5,4.5};- A) R+ d. e% K, |% n; ^
double scale = 1.5;
. L9 R7 W. c9 L6 Q. }. Kdouble scale1 = 1.3;( u3 v5 j$ x x8 J9 q
double scale2 = -1.1;
9 O5 M, B+ Z1 S9 V5 Ddouble sumVec[2],vec_comb[2],vec_perp[2];
0 T: @% B2 S+ _" d; B# d1 t1 H9 ldouble oscale1,oscale2;
& E2 }6 V9 p Y% N+ Sdouble tol = 0.0254;
/ h! V2 w0 z5 s6 c% wconst double vec_src[2]={1,2};
6 B9 u% J4 V: h; o, p; a* |double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];' l3 L9 \% J" B+ m
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
3 T( X4 L* L' vint isEqual,isParallel,isPerpen,isZero;
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double parameter = 0.5 ;
T( q9 O) L6 B+ ~; Odouble pnt1[2] = {0,0};
w$ G: x" W7 B7 u6 `7 Zdouble pnt2[2] = {2,5};
+ b7 @: F7 B% [, ?5 }4 i5 bdouble pnt_on_seg;
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# F* N$ V) ^8 }* F( @0 k0 ?//------------------------------------------------------------------------------1 X. n7 F9 n. P- A! O
// Do something# `# Q" H% ~2 \. z! c6 ]
//------------------------------------------------------------------------------ |7 `; m4 l( W y B# G+ n
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) w5 Z" S% X5 jvoid ufvecTest::do_it()6 n, D* i( S; w: v
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// TODO: add your code here
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/*
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1 UF_VEC2_add : 两个向量相加
) x3 J0 N$ d! w% Q" g0 { vec1 + vec2 = sumVec4 ^& |# _5 A! S' C; J7 E& f7 b3 b
======================* T3 y2 N: s7 G) X) |' b
*/
1 k# t: b5 h8 [6 g& y lw->Open();
1 r B, b- ]) K/ ^+ I7 _$ r, E UF_VEC2_add(vec1,vec2,sumVec);
# r1 k2 D% I5 S4 i9 Z/ k 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]);
1 ~+ S! h3 ~( X lw->WriteLine(msg);/ |% w4 ]' ^/ }+ n( s- B. s6 P) t
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/*
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! [+ u3 K: l' K$ l 2 UF_VEC2_affine_comb : 仿射变换& E9 e* Z# S- N- `4 f) ~
vec_comb = vec1 + scale * vec2;
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
Q1 G) q. N0 u7 ?& y 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]);
- B( |/ F0 |# N lw->WriteLine(msg);7 j0 d8 e# ~& E; V
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/*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量
! o/ z. K3 K; W3 j3 `) E vec1.vec_perp = 0
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UF_VEC2_ask_perpendicular(vec1,vec_perp);$ ?4 u" _) g+ W7 O* Y5 }
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);" n5 I0 p8 M+ X
lw->WriteLine(msg);9 b# K$ M W4 d
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/* 3 h) P) t) E1 s& n
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4 UF_VEC2_components : 求出垂直的向量
! p' l( k' U! J) c vec_comb = scale1 vec1 + scale2 vec2# O& j) ?( K2 }
返回: 0 可计算 1 平行
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; b/ a, O; z; h9 Z, V8 s; Z */
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0 v# ~* h- |" q( l4 N int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
* ^, ?+ ^' a$ X7 g* } sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
0 S# \5 b, [+ e' l lw->WriteLine(msg);' p& ]# \* o" t6 t) g. T
6 J" Y m/ R- t j) ~: f7 D* M; M /* $ T0 t+ ]; g0 H/ a' S$ f) Q; T
======================" f( C4 y. m* I, W
5 UF_VEC2_convex_comb : 计算点在直线上的位置+ g3 p4 u! a- i3 U: s
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
/ t; i/ d* G& ~0 @ sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
4 L, N5 I3 K- t, O lw->WriteLine(msg);2 s/ h- j$ u z
R$ f1 x, p3 Y, u. a$ i3 v /* 7 Y7 F( k: J' i
======================
- y2 N s. z" ^8 [* c- m, I9 k 6 UF_VEC2_copy : 向量拷贝" t9 e) Q0 m, I, T& {/ M
vector (vec_dst = vec_src).
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2 U# K& E, }6 K, M7 m! q UF_VEC2_copy(vec_src,vec_dst);
9 g, _4 s3 K( @; b 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]);: M8 M& t, L3 f& ^3 a
lw->WriteLine(msg);1 X c0 B4 {- d3 W9 _ I
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/*
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3 R; Q& _; i6 K8 A, O 7 UF_VEC2_cross : 向量向量积9 G/ [, y3 b, e$ H% c
cross_product = vec1 x vec2* K" J' Z4 |. P' N/ Z" B: Z3 P1 x: Z* V
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4 T9 X( `, b' t" }: y UF_VEC2_cross(vec1,vec2,&cross_product);0 p8 F7 Y3 @7 L: v
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
( |: s/ J3 N2 f, D lw->WriteLine(msg);
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[/ p% _3 ?, e3 _4 u* Z; E; k /*
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: L p) T; J7 D/ N0 ~ 8 UF_VEC2_dot : 向量数量积8 R- M& r7 q( p3 |5 o+ p. U
cross_product = vec1 . vec2
" Z0 D7 Y( ]- h, Z( K ======================
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3 R1 t T% k- B4 I# V1 a UF_VEC2_dot(vec1,vec2,&cross_product);
/ n0 }' o% T% ]( e2 C$ C sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
" M2 A$ C8 f9 |1 p0 {3 ? lw->WriteLine(msg);1 B7 }# \4 c, e( e1 ~* u
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' U2 W4 G" x& r1 I2 j /*
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$ [4 w& k# [3 ~$ r) V( K 9 UF_VEC2_distance : 两点距离
% X9 H6 r) M2 m+ k6 _6 e) v (distance = ||pnt1 - pnt2||)
/ A( C% I% H( h6 F" P ======================
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4 ~9 Y3 r" o; J! x/ `/ E UF_VEC2_distance(vec1,vec2,&distance);
J$ }+ n4 W4 s sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);. ]1 z! \: o6 T" H& I( [6 F
lw->WriteLine(msg);
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& `! {1 l: a7 h$ G% ^ /*
# B8 O: @' k1 ?$ |" g ======================
4 u; L, p( ?) B/ ^; l 10 UF_VEC2_is_XX : 判断矢量关系* T3 Y: B1 t8 @$ M
0 = false. E2 ~0 H3 Z) \. q7 R( s+ ^
1 = true; f, \9 u: p/ F' b [7 u) V# r
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*/
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2 ?% @3 A; l" T" k. f Z5 c UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等4 q! L/ l. ~- L/ b8 A! V" V$ X
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行( B. G$ e: R# y" ~2 U& K* ~
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直% c% S# J0 i8 x
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);' u: {" f1 S, O9 p1 b
lw->WriteLine(msg);
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4 G) I" m, p$ J3 F) U7 K) a5 m /* & A, a* C: o: q" m0 z }# O2 I6 Q
======================# n. T, W! B+ Y
11 UF_VEC2_linear_comb : 线形组合) W$ \' p' Q+ z) s y# J& x! O
vec_comb = (scale vec1) + (scale2 vec2)
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*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);/ S" v7 v: V3 P% `# |" f r
& l: x s( s) u2 N6 D 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]);# b$ \2 O6 e* H
lw->WriteLine(msg);/ `1 ~1 l* I, |% I
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/*
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12 UF_VEC2_mag : 向量模' G8 F% y/ L: J* y; |3 J. C5 e
magnitude = ||vec||
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UF_VEC2_mag(vec1,&magnitude);0 T$ d9 [9 A, ?9 D
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);( T, V& i8 `. Y$ k6 Z% I
lw->WriteLine(msg);
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13 UF_VEC2_midpt : 求中点 ' q f% }% t, A# O1 ` |4 d0 T7 y
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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*/
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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]);
2 y. v- Q8 m6 [6 _. W lw->WriteLine(msg);
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/*
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1 _$ Q# m2 n$ O: r; a* R 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划0 D3 f N& e+ {2 o, h
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*/
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UF_VEC2_negate(vec1,neg_vec);
3 p) k9 y( Y5 S' Y UF_VEC2_rotate(vec1,2,vec_comb);
' b4 @) h6 e- x( k5 d UF_VEC2_scale(scale,vec1,scale_vec);; C& k) m) E) C2 x+ B& p$ a
UF_VEC2_sub(vec1,vec2,sub_vec);
& F/ o5 R4 K" F3 t9 T. ] UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);1 w+ Y0 n* ^: ] x- L, p/ c
. B' k, q' a3 @( M: l7 F 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],
7 U6 ]/ I! ~+ n& ^, Z: v 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]);6 d. I3 O" v: _/ K2 I" i4 L5 H
lw->WriteLine(msg);! E% l5 {! z% y" K" X* ~7 z
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