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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。) Y) e3 k6 [+ I$ t6 q2 W- \6 S
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# W9 L1 z F+ c/ W+ R# }8 h: Mchar msg[256];
. j! R( t' V! Gconst double vec1[2]={0.2,3.4};/ W5 i$ ~9 \8 ~8 X" K: {- w
const double vec2[2]={1.5,4.5};( R5 d+ ~9 Q" Q2 C
double scale = 1.5;& G: @; `% S: e) J
double scale1 = 1.3;; F. t) p! k% R3 y q3 G) \" M
double scale2 = -1.1;) w% S1 F( x' [
double sumVec[2],vec_comb[2],vec_perp[2];
* ?+ s2 r) N$ G) b* ]5 `; [8 cdouble oscale1,oscale2;4 ?; I4 _/ d) x
double tol = 0.0254;/ ^6 l/ ^- l H: f# L1 |
const double vec_src[2]={1,2};: ^8 k8 B) y1 S4 b* s& [
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
* z: @9 j) @3 F* j1 M& `6 ]double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
! w# ~' [5 B2 b2 W& g$ gint isEqual,isParallel,isPerpen,isZero;) ?% s7 I8 T G; A" I% I1 N( W
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double parameter = 0.5 ;# o6 z* h) e, _' ?
double pnt1[2] = {0,0};
I. Z+ e) R. ddouble pnt2[2] = {2,5};
f( O: f o2 Q9 G, r- P2 ^6 Z% Rdouble pnt_on_seg;
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5 q1 c: @7 g, R: M6 ?' g: h3 q//------------------------------------------------------------------------------
3 m5 L$ F5 @+ q1 J, g// Do something
/ w% n2 ^. x" b" U//------------------------------------------------------------------------------
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void ufvecTest::do_it()
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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 : m( M' Q" V s& ~8 t9 P
vec1 + vec2 = sumVec7 _: ]2 a6 L- c8 l3 R! Q5 _7 N" Q
======================
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lw->Open();( Q. x8 B8 ~0 i9 j& M; B
UF_VEC2_add(vec1,vec2,sumVec);
6 _6 Y+ h5 ~8 y/ G* _# 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]);1 u$ y- c/ b; h5 v2 B H( z, Z
lw->WriteLine(msg);
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. V' h2 o6 d' L0 {: f /*
' H# [8 F9 Q0 q- l- m2 O; L ======================' [9 e5 Z M$ O! z: j
2 UF_VEC2_affine_comb : 仿射变换- ]- U) I3 k6 B! f( u
vec_comb = vec1 + scale * vec2; H+ q( O+ ~7 P$ f! m% z- [0 p) e
======================
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);' P) m7 l7 l! I
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]);
* i3 h3 ]' ]9 |! @/ o+ r lw->WriteLine(msg);
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/*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 ; P* _5 ~' N5 F
vec1.vec_perp = 0& E+ n* i; p' |; A3 O
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UF_VEC2_ask_perpendicular(vec1,vec_perp);/ @; X! S! L+ r% ?+ i/ Q
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
/ c, {( U: R m lw->WriteLine(msg);6 M9 i M1 C1 z6 _5 @" P' [4 _
5 I: |! H7 Q& d( N /*
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4 UF_VEC2_components : 求出垂直的向量
/ g+ j3 F+ H: I( O5 ^: K vec_comb = scale1 vec1 + scale2 vec2
; \ w* ^& |+ U! _- B$ x+ { 返回: 0 可计算 1 平行/ B0 j3 F5 `. O( A* k# y
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
% t! w2 \" s- A0 N" |% j sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
$ J( y# b& O8 c3 ] lw->WriteLine(msg);. j$ b) A0 D0 l2 [/ {( O1 w
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/*
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5 a7 D0 k, Z- O. ^; A+ R9 g 5 UF_VEC2_convex_comb : 计算点在直线上的位置2 L. h8 N k" Q% ~2 m. o
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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*/
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3 Y' o. q" a; Y1 J0 E UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
& s$ N+ N) z" ]/ ?2 x/ S8 q sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
2 P5 s4 s2 f2 T3 V" {( C lw->WriteLine(msg);
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/*
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2 e+ J& g4 ~9 Q' X# [/ ? 6 UF_VEC2_copy : 向量拷贝
3 n! B. }+ ? [6 |* K+ {9 M+ _7 @& u vector (vec_dst = vec_src).
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*/
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UF_VEC2_copy(vec_src,vec_dst);
* T6 X: s+ m( U. j' }2 a 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]);
) D: D1 m# w# A8 w lw->WriteLine(msg);
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/* * f1 A: r; Q8 q; b# |0 I
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* _- a0 S5 t; o! W* Y; a* J, N 7 UF_VEC2_cross : 向量向量积
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) j* m% W5 q0 A1 {) Y% z2 _ UF_VEC2_cross(vec1,vec2,&cross_product);% o3 z3 e" f2 q
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
; K/ _# \1 K+ J) ~6 {8 {! m1 l lw->WriteLine(msg);
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/ U, a) m- j2 J
/* + h4 k) u1 D- }* x
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8 UF_VEC2_dot : 向量数量积
4 q9 P5 H% n2 x, _' f; P; s cross_product = vec1 . vec2
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UF_VEC2_dot(vec1,vec2,&cross_product);
2 j* q! [% ~) G sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);1 h8 s K1 q) H9 i' o
lw->WriteLine(msg);
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/*
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9 UF_VEC2_distance : 两点距离0 b" ^7 f) K( G# `1 f
(distance = ||pnt1 - pnt2||)
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*/
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0 q, g) J m, C8 D7 \ UF_VEC2_distance(vec1,vec2,&distance);4 j0 N) a( J4 a& y, F
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
n0 K& {8 u+ w+ T lw->WriteLine(msg);" u: p& g/ N! q9 {
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/* . R4 w! p5 f% K
======================
9 U C; G) [4 p! p5 h' q* g 10 UF_VEC2_is_XX : 判断矢量关系
0 L- _3 T0 j* R8 x 0 = false
( e* n* t7 `1 x! O6 G 1 = true
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! P- E5 f/ X; V9 ~) T UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等& G. G; R* h3 d( j* o$ q7 R
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行: d3 |& u3 j9 F: _
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
: @2 Z( P8 ?4 ] P4 I 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);; X5 A) X( Q. Z K0 s+ ~
lw->WriteLine(msg);% e+ }" m2 @9 y
- l3 y# ^" f+ q, T& B* \ /*
: z$ m' ]( R& Q% p; _ ======================
! T6 v# {' \& X" j 11 UF_VEC2_linear_comb : 线形组合
2 ]6 F" }, g" B0 L" [* J vec_comb = (scale vec1) + (scale2 vec2)# Y/ @, E8 ^ k1 K1 C; O
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*/
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1 s+ s7 F, D" \: R/ k1 \ 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]);
" l# ]( R0 }* D" n; Q lw->WriteLine(msg);' X1 }( Z. Z4 N; _) n9 ?
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/*
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" V5 ?4 X7 H( J% B' U. K 12 UF_VEC2_mag : 向量模
! U" p7 o* Y5 c: R5 i magnitude = ||vec||
* |6 P& M! ?+ a! f2 o ======================
9 P4 \& a3 S; k6 k% F `8 p- \ ] */
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UF_VEC2_mag(vec1,&magnitude);
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( y/ F) X2 ~' ^; \; S I, y sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
/ w( r# A7 z. s lw->WriteLine(msg);3 n' M0 y) B0 U) `* `9 x
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/* \+ l% U: L6 v2 V5 n
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13 UF_VEC2_midpt : 求中点 * ~: o, B% G- O/ z1 H, ? l
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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! J& ^0 R+ L0 s */
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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]);
0 |: K8 P) _4 O( s( W* ^ lw->WriteLine(msg);
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/*
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, B* H; i/ q$ a4 r5 q 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划$ A+ b7 M: s+ u p, T4 A$ k
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======================
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/ q8 I& P" t/ h1 O, v UF_VEC2_negate(vec1,neg_vec);6 z, y- Y. n5 c1 O6 H
UF_VEC2_rotate(vec1,2,vec_comb);; W) j- y1 x& g9 x
UF_VEC2_scale(scale,vec1,scale_vec);! I% n4 B$ x8 r( t! r
UF_VEC2_sub(vec1,vec2,sub_vec);
! F% _% y8 N1 c1 P% k% o5 h. M, [ 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],
. o/ C/ p# j2 ?, P 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]);; ~; a a# F8 [# @% S( J- F3 e
lw->WriteLine(msg);. S3 |. [& O6 H$ A# `
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