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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。
; n6 y& W- K: d0 Z源代码如下!+ [3 q, U) r6 Z- D& ~8 _
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char msg[256];9 J: L/ s9 _- _& d; F+ {: p3 V
const double vec1[2]={0.2,3.4};
3 ^9 r7 M N4 W" Mconst double vec2[2]={1.5,4.5};
* s4 u( i- n1 d% gdouble scale = 1.5;& ], S- a. G0 s0 V) I
double scale1 = 1.3;
- Q4 j7 r9 m p9 ?7 A @3 \double scale2 = -1.1;* J A2 t9 b3 W8 I0 O' E# d- D
double sumVec[2],vec_comb[2],vec_perp[2];9 u4 `5 i. z, L1 i" B
double oscale1,oscale2;
. s [, e9 C( t( s9 ?5 a8 p- idouble tol = 0.0254;
% O" A3 o. @! |const double vec_src[2]={1,2};
; t: z; N8 c7 k. g( jdouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
: _5 G1 l, W/ \/ n# ydouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
^ A+ e$ `: h& |6 Q0 o( w* yint isEqual,isParallel,isPerpen,isZero;
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& ^( S+ ?' B/ l* N- y$ [! n! [* Adouble parameter = 0.5 ;( m4 ? t& C8 Q H- t6 B. E a
double pnt1[2] = {0,0};( N) L/ L4 |5 o" Q& v( z
double pnt2[2] = {2,5};
: R: ]3 k$ |. v. ]( adouble pnt_on_seg;$ Q* W: p) Q. J. o/ ?. f* v
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1 |+ L6 f9 r6 U3 e9 o' @9 @& `6 y! ^//------------------------------------------------------------------------------
, X2 Q0 n9 g h& U// Do something
# s% D) x( q2 F//------------------------------------------------------------------------------
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7 {" M6 Q: _. Y. C. L" f# h$ V6 ^, P2 Nvoid ufvecTest::do_it()$ ~1 L' v+ T) P$ F d& q
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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 0 o8 \! x9 P4 {$ |3 S- R' V! C7 E
vec1 + vec2 = sumVec2 L& Q( ~& U9 [8 O" x, ?
======================
/ I2 x9 \8 g) a Z */
# j" D) ]9 H1 j* B8 | lw->Open();7 M8 Y, H) F- k5 W0 b
UF_VEC2_add(vec1,vec2,sumVec);* u; W7 L; m$ q- N9 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]);
}3 V/ n- M" s: H% T! b: {/ g: D lw->WriteLine(msg);6 v2 w% o& m$ x% X! f
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/*
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' j- G2 i) O3 F4 q q: M 2 UF_VEC2_affine_comb : 仿射变换. d6 g( l: [- b, P
vec_comb = vec1 + scale * vec2;' y; L$ L9 i3 v, e( U' I" p
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);9 I1 o- t- m) O) u0 b' p: ?
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]);
$ d% ?/ f/ C, s' k5 x# g( l# s lw->WriteLine(msg);
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/*
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量
" W& ]* c* ^3 h$ n+ J9 L; V$ S3 b vec1.vec_perp = 06 r" y7 }; \8 h% v& Z2 I
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*/
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
) G/ J" r* P$ ?+ _1 H% b( e sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);/ B* {6 p7 K! E( d! K
lw->WriteLine(msg);( e3 Y3 W& m' s9 R5 v% J5 R% z
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/*
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: @& k( N9 t2 p* j5 z 4 UF_VEC2_components : 求出垂直的向量
: @) i7 p6 S: A* ~8 a; z vec_comb = scale1 vec1 + scale2 vec2
9 a8 T( x" D4 R# I. C9 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);1 z4 Q$ K9 K9 v$ U& a' e
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result); @+ ~* a% W0 o7 ]
lw->WriteLine(msg);
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c) a3 b# X# k6 N7 F2 I /*
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5 UF_VEC2_convex_comb : 计算点在直线上的位置
1 i6 f! Q, u! ]% z pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). 7 k: @6 c3 I6 W; M# N2 Q
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$ |( h3 x1 S" Z7 \! w* T UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg); _; S! l5 M1 R1 W/ z |/ D
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
2 H- y- G6 D. o& Z: I lw->WriteLine(msg);, |# S: f. ]$ z0 c; w
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/* . X, l( Q4 m, k0 b7 W
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6 UF_VEC2_copy : 向量拷贝
& N6 E0 G9 w6 f4 }4 u! O6 ` vector (vec_dst = vec_src).3 M) N3 Z$ k# B
======================
1 }8 g4 i4 E0 D/ o( ]4 s* ] */
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UF_VEC2_copy(vec_src,vec_dst);' m( s/ L I4 y2 r6 Z7 [
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]);
7 i% n/ _' P2 T W* f8 e lw->WriteLine(msg);9 [/ |$ s, l- S) j. a- h9 [0 L) R+ J
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/* 5 k7 g+ {6 k9 Z( S
======================
1 j0 a9 b3 p+ W6 y, N* y 7 UF_VEC2_cross : 向量向量积* L0 _8 ^3 D/ d. |* p! F5 `8 z
cross_product = vec1 x vec2$ w$ {* U# X( f, V
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*/
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& t7 _# ]4 @( m% k UF_VEC2_cross(vec1,vec2,&cross_product);. H. J& i: W! _4 R0 V! V s
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
. m- k* J9 \; E! ?" S lw->WriteLine(msg);8 o2 x1 |( e& V/ |7 t* L
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# V S, B. o7 h0 F: p /*
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5 [4 u* |0 ~& R. W5 z 8 UF_VEC2_dot : 向量数量积
4 E1 |! i( K: B$ R" } cross_product = vec1 . vec2
# M4 D ~, ~! p ======================
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K* D9 X/ y; B# `1 y UF_VEC2_dot(vec1,vec2,&cross_product);" l) Q" z- ]6 a F8 d' q1 n
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);, ]7 U: v3 h! I. N& v
lw->WriteLine(msg);
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. }, p# Y3 \& Q$ ^5 _, I /* 8 k' k- x# C$ g6 a1 ?6 Q
======================8 a4 U, A" Y) C
9 UF_VEC2_distance : 两点距离
' P% x0 }9 o% S7 _$ Y (distance = ||pnt1 - pnt2||)
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*/
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, Q# c+ J/ V! N# o& X UF_VEC2_distance(vec1,vec2,&distance);5 u/ s, V2 r; o' K5 x
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
$ z6 V6 r( h: I3 I$ C6 D lw->WriteLine(msg);: j9 A: u1 v" k% r& X2 }! C( `
! u/ |6 \! \+ Z9 j6 X# g /*
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10 UF_VEC2_is_XX : 判断矢量关系
( J2 } E% z5 U& W3 S( F |# ?$ { 0 = false% K2 J, B1 c" z! H
1 = true
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4 e2 ?2 D7 y& B& S: F; Y7 M */
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4 B- }$ p! \2 y' W UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
5 m9 \" D+ ~* p: A/ Z' H' y UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
- ~6 ^8 M- p* S6 K0 x" Z UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直, K& ^! P* @( V% D0 ^0 C
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);
4 C: H' `) f2 u* T: h lw->WriteLine(msg);
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! F1 }! Y" ~# q- `9 L2 m+ F' ~1 b9 D1 } /* " V9 g" w) e! f' \; f2 H
======================8 }: m5 v! X0 }# B
11 UF_VEC2_linear_comb : 线形组合) o" F9 E6 E/ L& L) H* c3 m' @
vec_comb = (scale vec1) + (scale2 vec2)4 E; R. W, s+ H* o; O% [ [ f
======================
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k" d1 ~# j+ \$ t5 x UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);
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0 m6 i6 z7 Q# Q" h 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]);
% }5 s) U$ A9 H7 ]: W3 g, m lw->WriteLine(msg);8 @: ]# o# E1 c
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/* # I( c! f) d$ w6 u- ]9 g
======================
5 f. H2 B# f4 I0 e 12 UF_VEC2_mag : 向量模
- S( O1 a6 B& R- q magnitude = ||vec||
& |4 a+ a9 N5 O& V' c; L( v ======================
, K+ E2 ^$ \( R( v9 ^ */
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% e1 w8 A: B7 E' k) U3 O/ E UF_VEC2_mag(vec1,&magnitude);5 S# N) B+ ]! _, k, W% s! Q
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);) V2 w4 u; c7 M
lw->WriteLine(msg);! c$ e; S, I, E2 k- t1 m$ Y
0 o& q4 b- j* Y+ n! H( A" S /* $ S7 i! h7 `5 H4 ]/ k. o
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13 UF_VEC2_midpt : 求中点
" J1 v) t/ K' Q" D5 s3 w# e mid_pnt = (0.5 pnt1) + (0.5 pnt2)2 q Y2 I8 d* A2 z9 d
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UF_VEC2_midpt(vec1,vec2,mid_pnt);$ j- q6 X5 E7 Q' K' {
1 z; d& S8 n$ p8 ^ 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]);
; \8 w) R, \: h* j$ L5 ^) S( g lw->WriteLine(msg);) d9 L# P* K& V- Q( ?: l7 _
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/* . t2 g8 X' a+ r; d9 c: E: g
======================
6 B8 D' w0 n- K$ |, M 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划
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5 o& N' b1 ?$ B) m) o9 ^ l: m- B9 u+ o UF_VEC2_negate(vec1,neg_vec);1 ^5 M+ a+ E( M, W
UF_VEC2_rotate(vec1,2,vec_comb);: D6 i% a$ e- {2 g1 Z4 v( M5 P
UF_VEC2_scale(scale,vec1,scale_vec);, i. r" z0 {# i" H) N# }. a* l
UF_VEC2_sub(vec1,vec2,sub_vec);1 E& [& O; I- K& @( U
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);7 g! c0 F# p5 L/ T
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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],
* n# W; R! }9 w- n" `) a q. [ x0 a; w 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]);8 Q$ q4 Y8 {7 I2 J+ S, }. V- Q# A
lw->WriteLine(msg);; p, ~9 c Z; |8 D* K
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}
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