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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。1 |: n. Y; t8 r8 N! Y) z' B. |
源代码如下!) I0 S$ M! r& ^
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复制代码
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, p1 S p2 D5 C5 w( e" K7 C4 Uchar msg[256];; Z3 g0 {4 Z* [# D' _$ ~
const double vec1[2]={0.2,3.4};: H0 f7 P0 b! l) F/ n
const double vec2[2]={1.5,4.5};+ m' ?6 k" N$ A1 S1 Z& a7 i' P
double scale = 1.5;
: [/ T5 ], c( }6 R8 z$ Ldouble scale1 = 1.3;
3 a/ W+ O o" h# Y( s% y0 q) edouble scale2 = -1.1;
; V) _7 N `& X6 f9 E9 Odouble sumVec[2],vec_comb[2],vec_perp[2];3 L+ h3 E9 W- b% m- x
double oscale1,oscale2;6 B) V; b, U& i2 f% z; X" b. P
double tol = 0.0254;# i* Z' n/ i, J7 @, Q
const double vec_src[2]={1,2};
) Z7 Q6 F* |' j; y6 ldouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];* I5 U6 A" S! [0 B/ T
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
! \; w# k& s& O% e1 H4 T& \int isEqual,isParallel,isPerpen,isZero;9 ?% P: \2 U: V8 {4 @8 O) I
! @+ C X# p Cdouble parameter = 0.5 ;
/ x, X: R, i3 X3 e) E$ Gdouble pnt1[2] = {0,0};6 `7 ]/ ^4 p- }# ~8 Z: D
double pnt2[2] = {2,5};
/ g+ u5 W7 Y c. fdouble pnt_on_seg;4 y0 D7 J5 ^1 K
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' b6 B# Y$ O9 e//------------------------------------------------------------------------------
* K/ \/ e8 S- P" V0 P// Do something; Z& @* @+ T9 k7 I
//------------------------------------------------------------------------------9 Q( }* _4 F+ F5 p
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void ufvecTest::do_it() p) S3 x, p% U3 s7 c
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// TODO: add your code here
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* @9 Y4 [. r: ?4 [/ d- H /*
* ^' i6 K8 {! o/ m* ^, w ======================
: n& i- U g: S! f* r; X) L( U 1 UF_VEC2_add : 两个向量相加 8 o0 B% Z& g- j! @$ I6 U) ^+ F
vec1 + vec2 = sumVec5 g/ z# ]' D, I
======================
' g9 k( d) ^! j5 e6 g( g */
+ r* C0 x* |7 C% T lw->Open();
) B" A; q3 t S. t0 v6 l9 J UF_VEC2_add(vec1,vec2,sumVec);6 e: u- {6 W- I# o$ I X8 r
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]);
7 @' a% B# [( }: o& ` lw->WriteLine(msg);4 H( A7 I: S8 w: }0 }3 i0 J
0 i, k, U3 ?4 h# y( o2 u/ u- A /*
3 B1 j; c/ V8 R! S9 [" O7 y0 G ======================
6 U; R7 m. L% r) W1 ~; W' { 2 UF_VEC2_affine_comb : 仿射变换
: [2 O" K, E& s/ H' v+ k vec_comb = vec1 + scale * vec2;* `; y: _' a6 w" _: l. P8 B+ H
======================
- t. Z3 t* A4 W4 f */
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
9 y$ L) Q7 I) U. n& x7 }5 { 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]);; H/ K0 w+ c: Z$ L
lw->WriteLine(msg);3 r+ v& d" w L; N: ?6 T
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/*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量
' b6 n. K9 J* }4 O, F, E0 k1 e vec1.vec_perp = 07 h0 z# L( n, Q+ j1 k
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*/
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
' ^6 x5 D6 N" A- q8 J! t2 p sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);5 _9 x# k/ X8 V5 I0 G
lw->WriteLine(msg);
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======================
' V: }7 t4 D; j# g1 n 4 UF_VEC2_components : 求出垂直的向量
3 {4 `, g6 j, J- _) U' a1 _9 [$ i/ [ vec_comb = scale1 vec1 + scale2 vec2% _8 @& A3 m1 h
返回: 0 可计算 1 平行
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*/
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7 |7 J1 O% _2 t- z" U& F$ X0 J ] int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
+ ]6 [) ^+ F2 S9 p, x) ` sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
b$ ]- y6 S4 n- W: }1 b. [4 E! ` lw->WriteLine(msg);! ?, D, u4 `* u
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/*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
4 X$ a9 J% I8 y3 U% I: r pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). 4 O# S6 ?+ p! u! K
======================
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1 _2 D6 p3 c6 N UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
- m7 A& |; q* k8 P2 j sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);0 h" P) ?: [7 j# k! p3 _8 |
lw->WriteLine(msg);0 q5 ^+ x) \: l g) l
3 X0 ?+ f; g" w0 \/ z) Q /*
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! f- A' T# `: w8 M0 j. E 6 UF_VEC2_copy : 向量拷贝
/ W7 ^6 a+ i. n vector (vec_dst = vec_src).
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*/
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8 c Z" G0 `; z7 f, I UF_VEC2_copy(vec_src,vec_dst);
. \: o/ v/ k& ?! \5 K 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]);, {3 T7 A; u5 v3 ^: V2 l( X# t! ^
lw->WriteLine(msg);, v0 P0 [' V+ H* s# _4 d6 S, r+ P
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/* - q+ r( J g8 K; h: B& l
======================
- u& P* ^" V( x. R0 h 7 UF_VEC2_cross : 向量向量积2 K, F0 x) W# U
cross_product = vec1 x vec2# d6 W6 N, j/ k4 z, ?7 o+ W t! \
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% {; a4 s* r i& u% S UF_VEC2_cross(vec1,vec2,&cross_product);" F3 Q8 n2 \; g0 ~
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
# P' L0 f% K3 U/ L( [' j lw->WriteLine(msg);
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$ S. a. M3 N: `4 T8 ~6 ~/ f /* 3 m: s% @# a& |7 Y* `
======================
! ~5 |2 A3 F" [# d9 P 8 UF_VEC2_dot : 向量数量积. e) L& }9 C* D: b
cross_product = vec1 . vec2
5 G5 R6 H" m- K& z& ] ======================
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UF_VEC2_dot(vec1,vec2,&cross_product);7 i( l6 M( b' c3 c1 e
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);+ ] E# |) N2 P- L, H# {. m* ]
lw->WriteLine(msg);
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/* . h4 O' }! _. P$ }) K- D4 |3 G) V: j
======================
* n+ k9 z, r- j. ?3 [$ a0 L 9 UF_VEC2_distance : 两点距离; q: |* `: r7 m0 d- S
(distance = ||pnt1 - pnt2||)* `' l7 q, }7 h! A$ M: L* a9 O
======================
; C2 A& w8 x% t) E- W. o+ f */
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UF_VEC2_distance(vec1,vec2,&distance);
; N& k$ [" E; X `/ W* d3 v8 U sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);. L J: K2 q+ N# \/ }
lw->WriteLine(msg);
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/* , i( \/ p2 ]7 H* x' f
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10 UF_VEC2_is_XX : 判断矢量关系* G7 D. l6 Z8 g/ P( P, ~% q; e
0 = false7 h' }# G, i7 f6 a! K/ G7 \- P
1 = true
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+ ?; u2 X0 ]" F7 p! S UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等& V3 U& _( I1 Y" @
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
7 \, Z! |: x1 \. m8 Y4 i$ ` UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
; @5 A, ?- V4 D) n6 U8 z/ i+ N& ?' V UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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% ^$ q L+ Z. L0 ^ 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);- D% x9 \) D+ R
lw->WriteLine(msg);0 J7 t7 \( I0 K
) u, S) ^* V, ?& `# W /* ! j/ R. E1 D2 Q) q L! h
======================1 |, b9 h! S h# L2 r3 W! V
11 UF_VEC2_linear_comb : 线形组合* p# ]+ ^# o9 [6 _% X2 v- b9 ]; Z
vec_comb = (scale vec1) + (scale2 vec2)
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) X3 D7 y" k2 ^, P3 h UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);! i% Q5 F5 d$ X) Q k U( v
$ X& A5 C; i. K$ T 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]);( }$ g" D' h. h$ e! z& y
lw->WriteLine(msg);- d9 _& u4 Q a' g
* l$ p. r, v( | /* : _. k8 x) t2 @- E) X0 l- x
======================
7 ]( w% o, n, Q! n% B: K 12 UF_VEC2_mag : 向量模
, e+ q+ a8 p6 L( [) K& A7 X magnitude = ||vec||) |! C) R& S0 ^
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UF_VEC2_mag(vec1,&magnitude);) Q: S, ]0 d6 M5 T/ ]! s S$ j
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);7 ]: v, H- o* _5 J) h2 N4 L
lw->WriteLine(msg);
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/* ( B. r* i/ E0 N" T
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13 UF_VEC2_midpt : 求中点 : B h6 b9 S. G" P, L! u6 {
mid_pnt = (0.5 pnt1) + (0.5 pnt2)1 p+ I9 S+ \: g5 T6 T# V N/ m
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*/
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6 r: U( x8 @* _# W1 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 l9 K2 l# H, b, O& @, g
lw->WriteLine(msg);) h! D$ q% Y: m- y6 `
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14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划6 v T5 m3 x4 j- t
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% V. g$ m0 N# \9 a; ? UF_VEC2_negate(vec1,neg_vec);) r; ~9 P9 t7 W# A, @5 ?
UF_VEC2_rotate(vec1,2,vec_comb);8 P1 {4 g; _# S, X" q- m2 e2 `: O& I
UF_VEC2_scale(scale,vec1,scale_vec);! `+ u% U4 |" e7 d0 N5 L1 `3 W
UF_VEC2_sub(vec1,vec2,sub_vec);
* W2 H' Z0 {* m& x 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],
5 b. o/ c9 s* z6 `( o! t" ~ 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* x4 X* Q3 c0 g- u6 d
lw->WriteLine(msg);
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}
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