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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。$ W8 I* Q. F& r* M- C) E" p
源代码如下!
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) W- ^! C/ V* Y/ E# z/ _& Gchar msg[256];
! q) ]/ j/ j, D- t i6 i' q- vconst double vec1[2]={0.2,3.4};
6 ~( z( {* _3 o h* \" M' Sconst double vec2[2]={1.5,4.5};
9 ]6 @9 q/ M- ~5 r6 cdouble scale = 1.5;
% m$ I$ z9 M: p/ f% G, adouble scale1 = 1.3;7 f! @; {( L# P0 m ]! |- t
double scale2 = -1.1;
& |; E4 B! o' Y7 A, Mdouble sumVec[2],vec_comb[2],vec_perp[2];+ f. Z1 k! \3 i
double oscale1,oscale2;+ [& c. f- q4 W/ d# `9 n( N
double tol = 0.0254;( {2 V- l$ H, C4 p9 ]
const double vec_src[2]={1,2};5 d2 n1 \* W9 w; P* w# d$ G+ L% ]
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];" N: i' s4 j* x/ I* u F
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
* N) E8 r# p; a3 X6 {5 S9 mint isEqual,isParallel,isPerpen,isZero;* M0 N0 U% j T6 \# W2 ^: y6 b9 @
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double parameter = 0.5 ;; M7 P% F1 c0 ~9 r' n6 Q# ?6 w% l
double pnt1[2] = {0,0};/ S f+ {* t/ p0 O
double pnt2[2] = {2,5};
! F L: a5 m, i6 k+ Y' N6 xdouble pnt_on_seg;$ m1 L, Q0 h; a* Y* |2 s0 J1 X
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//------------------------------------------------------------------------------" ~* n1 P9 l% K% V$ l
// Do something
3 S& D: A. F8 g- j. K2 i: T+ o: u! h//------------------------------------------------------------------------------
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void ufvecTest::do_it()
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Y) ], ~& ^" ]) E: K1 p! H
1 T$ ~4 c; F0 G% I // TODO: add your code here
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/* " |* ]' ^ j4 @( {% {% D
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1 UF_VEC2_add : 两个向量相加 # a e; p' m! S% _1 N$ Y
vec1 + vec2 = sumVec1 v2 t, D/ B0 F+ B$ \6 b+ P7 R
======================
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lw->Open();
' {7 L4 @* t9 b: H' }' j UF_VEC2_add(vec1,vec2,sumVec);' T5 Y% [4 B5 \$ \ w- Y
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]);/ c# x/ V- `8 S8 _1 w* ]. h3 R; [
lw->WriteLine(msg);
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" _; s1 y6 Q. S9 ? /* 2 X7 U8 h# s# v
======================
! J! X3 A+ f/ z) f 2 UF_VEC2_affine_comb : 仿射变换
5 a9 x/ l9 {/ y) M6 `* L, F vec_comb = vec1 + scale * vec2;4 R) t) M5 Y e. i
======================
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) f( u/ w: U4 [2 a; W& a UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
2 ^( `, {& L3 U* R8 c0 v 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]);3 f$ i; J: n6 I
lw->WriteLine(msg);
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/* ; j, m/ b; W6 S; c! h9 H- c k
======================
* S5 Q2 ]5 X) S4 ` 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 * T+ o( }; q- n7 N7 j
vec1.vec_perp = 0
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6 R6 r8 J6 M0 _6 A */
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
5 A2 @ M. Z3 N) h" L, Q sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);$ ]9 M: ^2 e" P0 {4 t, X
lw->WriteLine(msg);6 z) a7 I5 j7 Z1 f# r" d& I
+ I9 D+ D6 N5 }# N0 L$ g: W /*
2 E& x% K. X6 E, \ r ======================
0 k- [( V) v5 t 4 UF_VEC2_components : 求出垂直的向量 E5 B+ V& x' u! `/ i. d
vec_comb = scale1 vec1 + scale2 vec25 q, _1 s4 K* Y
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);
2 m3 R1 p" e1 d* e! r6 ? sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);0 v$ E( b# C$ _6 O7 C
lw->WriteLine(msg);6 g0 ?$ j( \$ W# y* h/ ~( B! A
) n4 s! Z/ p+ J4 p, y. A- N /*
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4 W; x3 R9 Z. G! }! \3 b5 e6 h* n& w 5 UF_VEC2_convex_comb : 计算点在直线上的位置
2 I5 g" w, \6 E% Y4 A pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
+ v8 F1 b2 M# {6 y$ r$ o ======================
2 G# E1 s7 g( H7 B4 Y# l( | */
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' y$ \2 `& h7 N$ T* n2 p UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);" ], H# D. g/ h
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);! e1 N$ r3 S) E$ y* `
lw->WriteLine(msg);
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/* 8 K f7 J1 _2 E9 ?
======================
" Y* m. i$ H& n* J$ M 6 UF_VEC2_copy : 向量拷贝
( V( L# W! C1 Y& G" ] vector (vec_dst = vec_src).
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*/
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UF_VEC2_copy(vec_src,vec_dst);% N; A( j9 I. Z+ X
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]);! y3 l4 D7 R) b5 x9 T) f
lw->WriteLine(msg);+ K6 ~, g! L0 H( v5 x; y
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/* ! ~- e7 D, u+ i5 V. w8 m R
======================
# C7 }3 }6 s! M& \ G- ^' ^ 7 UF_VEC2_cross : 向量向量积
5 L; x' _. T( }- X" ~+ a cross_product = vec1 x vec2
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5 z! l8 Z" u3 |4 V6 I */
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UF_VEC2_cross(vec1,vec2,&cross_product);
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lw->WriteLine(msg);( a9 Q6 F* Q: J4 J& H: g" C
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! S; p: l6 v+ { /* 9 {) s8 h& m2 u- H) |
======================
+ v' n, ~/ U9 B6 @8 C 8 UF_VEC2_dot : 向量数量积' j6 |: z) ]9 l7 y3 Y8 I+ l
cross_product = vec1 . vec2
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*/
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8 I) x( R6 l T( N2 T. f UF_VEC2_dot(vec1,vec2,&cross_product);3 y+ [2 `6 \) `, y: t2 y
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
Z+ v/ G2 m1 B; M7 Y T lw->WriteLine(msg);7 ]! [' v; X5 {, t2 X9 X. Y
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/*
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9 A3 q/ M4 _. e% l& m" ~ 9 UF_VEC2_distance : 两点距离/ W( Z8 l. t+ L3 @+ T, X
(distance = ||pnt1 - pnt2||), c0 M& H5 c9 e6 a; L
======================
/ V8 h6 E4 n; W6 }9 P G* ? */
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' I7 e4 z, L3 k8 [5 g0 t UF_VEC2_distance(vec1,vec2,&distance);
5 \7 a- m9 m: }8 A9 V sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
) c' s0 {+ z( E5 R: y lw->WriteLine(msg);
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: n% ~' X4 ]0 v5 i% B2 |$ \ /*
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10 UF_VEC2_is_XX : 判断矢量关系
, I: j( m8 B; ^0 v. { 0 = false3 I1 \+ v; `. e# J( J1 N$ X
1 = true
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* p% J% {; G: Q0 w" k% z/ O */
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! R. \9 h8 @6 l) \ UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
( S/ e% n9 e$ l UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
4 _$ h+ G# h! J UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
5 `; t! [9 {: E& }* u) q; ~; W4 g" d UF_VEC2_is_zero(vec1,tol,&isZero);//为04 c! i: A* p& f. {: {0 L# }
7 @! D3 t* l( m5 y8 B6 {! v4 J' h 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);
# Z, L6 I( _0 p# Z lw->WriteLine(msg);1 S9 s. C7 O( R* x7 V7 i( o
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/*
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11 UF_VEC2_linear_comb : 线形组合, ^! q) j" U% e( x; o3 p
vec_comb = (scale vec1) + (scale2 vec2)( m5 C- O' {1 y3 y" q$ c: B
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*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);
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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]);6 T% ^# V" K+ x. [& p. @
lw->WriteLine(msg);. _# k! S9 R" \: _* U4 R, \
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/*
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" Y* Q4 {) B/ h 12 UF_VEC2_mag : 向量模. t( K; m7 v4 w0 B* w
magnitude = ||vec||; ~" ^$ ^4 b7 A) g( [
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0 m2 s% |+ C1 d% ]' t3 E UF_VEC2_mag(vec1,&magnitude);; f" L! W, j( Y- ^: p2 J$ }
$ `3 J& h; |$ P, R6 u8 V sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
! K. e0 Y, d" [ lw->WriteLine(msg);
# h) M; x8 V {
9 k' Q& k" z$ }0 Q- q7 G /*
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13 UF_VEC2_midpt : 求中点 7 ]0 ]( z! x/ Y0 I
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
3 i. f5 v6 Z' k, o4 J1 j- } ======================
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- H1 q$ ^* D$ z# [" X- u5 y UF_VEC2_midpt(vec1,vec2,mid_pnt);
! [- ]$ e$ N% I! Q$ B) \6 u7 ]) Y |% m& R- X
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]);/ x- h y( D/ P9 B7 K$ X" A
lw->WriteLine(msg);0 D. i: ]4 B' o/ d
1 |6 y" d9 i& A1 e4 j /* 3 _. o/ p3 D: T8 A) G( O/ v9 X5 r4 {
======================
+ y! i, U# k5 _, \+ R3 @ 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划- e" c/ \( @: `8 a, A3 y' b
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======================
3 x+ ?, D% M6 i( D8 G, \ */
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UF_VEC2_negate(vec1,neg_vec);, [2 _* k3 K3 m4 l0 L
UF_VEC2_rotate(vec1,2,vec_comb);
& W& F; h" ]! p) j- p9 X UF_VEC2_scale(scale,vec1,scale_vec);
, U9 ~( W5 g8 I3 y' H" { UF_VEC2_sub(vec1,vec2,sub_vec);3 b7 z/ i$ S' p6 `8 U3 h2 |
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);
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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],
7 {1 Y7 w. L! Z# K8 T" r 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]);
1 x4 I* V8 F% E( t lw->WriteLine(msg);1 o1 c' ]5 V5 ]; n7 I: ~7 ]
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