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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。8 P- l! `0 N2 j. B# k$ y) z9 E
源代码如下!! r* z) J* ^. j" H7 ?! ]7 j: x
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7 A1 s1 C& |& @; Q) Schar msg[256];
$ I m8 Y0 }2 t% S7 ~( econst double vec1[2]={0.2,3.4};5 W$ q2 S* B, r+ I% B0 N) ^; `0 }
const double vec2[2]={1.5,4.5};$ H* L1 P3 A5 r
double scale = 1.5;$ U* i( X9 R' g! C3 s
double scale1 = 1.3;* I3 z) f7 r/ k7 @* N
double scale2 = -1.1;7 [! t& z# n2 k7 l+ `9 [
double sumVec[2],vec_comb[2],vec_perp[2];1 k% c# N& {( r3 _1 t+ [! T" t
double oscale1,oscale2;# D _2 {2 t9 ~
double tol = 0.0254;
% O3 {5 o7 h) u8 Nconst double vec_src[2]={1,2};
; l4 G q7 A) m) O4 y" J fdouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];( l" U* @" d8 R; I0 J# P
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];% Q/ R2 g7 K# Y/ {; i* \: U
int isEqual,isParallel,isPerpen,isZero;
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double parameter = 0.5 ;
5 t8 ^% E' O0 d- Sdouble pnt1[2] = {0,0};% B8 \- } n: X; J
double pnt2[2] = {2,5};
' Z$ n% ?2 P8 n0 Ndouble pnt_on_seg;
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//------------------------------------------------------------------------------
! ~& u" I5 O/ n G- d/ S7 G$ y// Do something P \. ]* C0 m. j3 p, y' Z
//------------------------------------------------------------------------------
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7 o1 _0 \, G. E1 hvoid ufvecTest::do_it()5 U0 `6 z2 L F' M7 w* s& X' \
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( O, L& m2 `' P* ? // TODO: add your code here/ K2 O: i5 [8 u$ h0 D# t0 F3 ^7 N
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/* 3 D- p) c; h$ n) U3 e( Z. n
======================7 |7 o& j0 _5 ?( n3 w
1 UF_VEC2_add : 两个向量相加 + q5 x3 m1 ^* ^; R- j6 d
vec1 + vec2 = sumVec+ m3 s+ [" u# g/ B# y
======================
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lw->Open();
; J; |; n) B4 c0 g# p( d UF_VEC2_add(vec1,vec2,sumVec);
H1 o5 _1 ^" E2 R% l. F 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]);
5 F0 A/ D* e3 o# g2 {* y' F lw->WriteLine(msg);
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6 i* U5 b/ ?: v( k$ P. p /*
3 V: F p; v3 |: ] ======================
' S( s0 q7 z7 P5 r+ p/ T k( l 2 UF_VEC2_affine_comb : 仿射变换8 F! j4 l( t( K2 C1 {
vec_comb = vec1 + scale * vec2;
. `: n4 h, [) |' G# Q3 D. K ======================
' V% g0 ^( ~& Z. O3 N */
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& A$ [: s* @. P$ Q! f; g* \8 W UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
5 n% j! ?$ s9 f3 s' y; m; C 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]);* g( _/ j |& D3 h- g& I
lw->WriteLine(msg);: M6 k. c9 d+ O; ?, s
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/* ; k& s5 u1 ]- N2 n( ^! D" l; R
======================
7 F) b$ _8 Q, U$ G2 L2 L 3 UF_VEC2_ask_perpendicular : 求出垂直的向量
* x O1 U8 L2 U B+ E9 q vec1.vec_perp = 0, R: @9 R+ C* m3 p2 s
======================
6 P: h' e9 V; C+ a3 i" n */
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UF_VEC2_ask_perpendicular(vec1,vec_perp);1 y" `7 Y" k9 }
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]); t' I4 d. U% e5 a4 Q0 u8 G
lw->WriteLine(msg);! | D* X) x: q n
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/*
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4 UF_VEC2_components : 求出垂直的向量
9 h* a/ q l+ H/ {) m$ h vec_comb = scale1 vec1 + scale2 vec2- n+ u9 P- M* `2 ]4 q. j& g ?
返回: 0 可计算 1 平行; s2 f: F8 C' O Z* z' l
======================
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
$ W3 H& }' c2 t4 ?4 j' S sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
/ C+ g: q3 [5 `9 [) n+ ? lw->WriteLine(msg);" P& N# j; o) T/ V
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/*
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# f) X/ a2 B' n5 b 5 UF_VEC2_convex_comb : 计算点在直线上的位置
+ {8 w! c1 h5 F4 z pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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1 M! Y& C0 B- a9 y" U */
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' D8 | w$ g; _# r+ n# Z0 E UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);" X2 j& T" ~( J/ s. T
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);# v7 `. B4 P( l7 Q: w
lw->WriteLine(msg);+ T4 C0 @4 b* K4 h) M7 ]; @
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6 UF_VEC2_copy : 向量拷贝# z- @- Z* t9 a4 X: \) p
vector (vec_dst = vec_src).
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8 E4 M2 y* `0 z. x */
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4 Q, l# c6 y2 {2 g! f- E( J UF_VEC2_copy(vec_src,vec_dst);
- U6 g9 I5 j: U& I( S, Q 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]);6 C! n6 I! J* L% t
lw->WriteLine(msg);
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/* ( W+ P ?" L0 h& V$ {6 {; T
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* t) j0 ?( M. h1 D7 A5 g 7 UF_VEC2_cross : 向量向量积
7 b- b& B' b0 c; e) l' j cross_product = vec1 x vec2" h$ _6 K8 x j( O. p- K- V0 M5 a
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UF_VEC2_cross(vec1,vec2,&cross_product);. h) V* R3 h0 a w/ b
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);) A) O( D% x5 T! g' S. |+ T
lw->WriteLine(msg);0 U" V* A' H' Y" y% Q
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/* 3 n1 ~' E0 {" O& l* m
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0 r, O1 u8 u) y: g/ V 8 UF_VEC2_dot : 向量数量积! A4 V, z) y4 T0 m& [
cross_product = vec1 . vec2
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*/
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UF_VEC2_dot(vec1,vec2,&cross_product);
0 A& J! |) D& k9 Z sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);- b) z6 x7 d& n. k' x `) x5 q e
lw->WriteLine(msg);
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/*
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7 Z! o3 X9 e$ q 9 UF_VEC2_distance : 两点距离1 G# U, i- A& i5 i) k Y4 t
(distance = ||pnt1 - pnt2||)8 W7 h3 J1 @3 n$ i
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*/
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, r, ^9 F+ e, H+ @5 E' E( x. x UF_VEC2_distance(vec1,vec2,&distance);
+ G- T9 {- b5 x' P$ e2 r sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);( b: {5 q7 `( I. e8 j/ h
lw->WriteLine(msg);
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/*
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10 UF_VEC2_is_XX : 判断矢量关系
8 m; r- J$ g6 b% D: v5 s4 i 0 = false$ {3 x8 A, v! G' m! L2 N; `
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( P3 \3 E1 `# \/ ~4 E/ x UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
9 F2 \: V; D* u UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行/ S! Y {: ]6 r8 y: j- ]0 o; b
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
4 g7 c! K- ?( _3 I$ }9 I7 E! G3 k UF_VEC2_is_zero(vec1,tol,&isZero);//为0
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; X" x$ U X2 `3 Y8 @" f 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);
5 Q* n7 o/ ] u3 |4 C6 a lw->WriteLine(msg);
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/*
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1 ?$ V. L( Y% J- O. g, n 11 UF_VEC2_linear_comb : 线形组合
8 y( I1 n( e9 u [/ u i2 d& K vec_comb = (scale vec1) + (scale2 vec2)
5 C7 b! ^' r" g ======================
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7 G' Y Y8 r2 X# B+ V6 | 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]);
3 E# `9 a i r lw->WriteLine(msg);
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/* & a# K1 r$ h6 o1 [2 O
======================
8 H, s, V! U V' A3 w 12 UF_VEC2_mag : 向量模. F% Z9 ]2 \3 B1 p8 k& a
magnitude = ||vec||
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/ H7 N& B) _5 K9 ]* Z& }) ? */
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UF_VEC2_mag(vec1,&magnitude);
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);$ \# \) k l, H4 {" e3 J5 h- b
lw->WriteLine(msg);* t5 {+ d* F9 `. j) V
4 G: S: E6 n: J# S5 N; E /*
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13 UF_VEC2_midpt : 求中点 / N- X7 c( F) U/ l
mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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*/. C" k2 B1 h) O, b4 I
! V, L2 p0 h: j$ b; u5 S, a3 ^( i 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]);
& x8 @* {% t" c* Y; @ lw->WriteLine(msg);
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, W; |6 \( K- H1 S% C B/ B9 S /*
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14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划
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======================
( r" I' `: y+ L8 X8 J4 Y5 ^ */
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4 s( r/ `6 S9 ], S& ]5 n UF_VEC2_negate(vec1,neg_vec);
$ m( ]* ~. U' s) X# P4 N) R( {6 N: [ UF_VEC2_rotate(vec1,2,vec_comb);
4 o- i0 x4 D+ K! [ UF_VEC2_scale(scale,vec1,scale_vec);
: E3 \+ n- E0 W/ n" J! a, E' c5 _ UF_VEC2_sub(vec1,vec2,sub_vec);
6 L6 {7 U8 ]4 D- q2 ]4 H3 s UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);! N! a+ d7 o0 F2 J l, q
+ K U( z+ }, m8 q q8 H& o 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],
3 L. t5 o) W4 L0 U- L9 @" z 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]);( R0 i. \( d$ }2 Y
lw->WriteLine(msg);& M$ Z# [* B _
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