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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。# x) a3 m {7 T. y0 U
源代码如下!1 U$ K( X. {% j& i; G. S. ]
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char msg[256];
7 V' M% R1 e; } n. E( O$ K7 gconst double vec1[2]={0.2,3.4};
& D- J8 J; }9 D* r2 n8 n. i8 ~2 n+ kconst double vec2[2]={1.5,4.5};
6 i. e: ^6 W+ Qdouble scale = 1.5;* y4 G# k ]5 [/ f
double scale1 = 1.3;
4 R! Y1 }# H- Qdouble scale2 = -1.1;
. r, y6 ]8 n6 B+ ]$ w. cdouble sumVec[2],vec_comb[2],vec_perp[2];
$ d/ g; G N( ?: ~double oscale1,oscale2;
; A# b$ y. L1 Mdouble tol = 0.0254;' `0 }0 `2 B9 T4 ~& s
const double vec_src[2]={1,2};1 P M( S( c& v/ j% w* l
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];. [( g4 J. f; M# q* S
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
" O: ?; U# L/ K5 Xint isEqual,isParallel,isPerpen,isZero;
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% W; Q) v* ~6 s+ F7 Hdouble parameter = 0.5 ;( J5 M2 a2 \0 @3 X) L4 x3 D
double pnt1[2] = {0,0};5 }! W; _- O7 j% ]0 [! z( o" F8 w
double pnt2[2] = {2,5};9 M4 @: L- X- d8 B* i' d/ `+ s- Q
double pnt_on_seg;
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//------------------------------------------------------------------------------9 M3 s# i$ m7 V. T* P5 f
// Do something
; T* s, L; Y( q; N4 n8 ^3 Q- J! R$ |1 ]//------------------------------------------------------------------------------5 k& k: ?# G6 s: {
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& N8 X, L4 S$ ivoid ufvecTest::do_it()
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3 `2 F2 m2 f% l# B6 S# C // TODO: add your code here
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/* $ K" b) B, W" f6 F; y, c* T1 A. J
======================
* E! p4 O, j J3 U) r 1 UF_VEC2_add : 两个向量相加
1 K% O L8 K1 u vec1 + vec2 = sumVec
" l: A8 ]+ V9 O* G( K0 z ======================
* ?+ u5 K8 S5 j */
( H* ]3 g ]: d# U, u+ b7 [. R2 V! ~ lw->Open();
9 V6 B! {" i. m0 _ UF_VEC2_add(vec1,vec2,sumVec);$ G( ~5 u: z, f8 L
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]);
: W& x, G0 t0 n lw->WriteLine(msg);0 u7 a* }7 d2 Z6 |( j0 L8 }
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/* " b1 l" S" n& b* t
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2 UF_VEC2_affine_comb : 仿射变换
1 y0 r, j; y) H0 p: I& l. F vec_comb = vec1 + scale * vec2;
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9 T; p/ ]" h: N5 l8 b */
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);& G! w7 w4 V( [! `% m- x
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]);
, v: G7 O5 R3 l) q+ _5 Q- p% n lw->WriteLine(msg);4 H7 y8 b& v: D: G, Q6 [
+ V' ?% j& o$ ? /* ; A# X+ Y# i7 Z. _
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 3 N" f0 D$ q+ y t
vec1.vec_perp = 0
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UF_VEC2_ask_perpendicular(vec1,vec_perp);% Q' h3 T6 M: w, A2 m- n( Z7 w3 S
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);" n2 j- L0 s6 m. Y0 X7 i) Q& S
lw->WriteLine(msg);; j/ V- k9 a/ k. O& [. C& s( N
' a5 C9 G K( I /*
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4 UF_VEC2_components : 求出垂直的向量 ; A0 A' O6 Q# g( Q0 A
vec_comb = scale1 vec1 + scale2 vec2
' O% B4 s' Q2 O8 Y: B 返回: 0 可计算 1 平行
+ n1 f+ w) y( _# G3 D/ L ======================
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c8 s# \. ?3 ^$ d. K" { int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);8 f- r) ^2 G: S$ _, s+ @9 Q8 x
sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);1 X+ q' g9 p5 i, m" ]! i9 y2 W5 N
lw->WriteLine(msg);4 w; I, f+ I; w' @* t
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/* $ M* Y) V! _( b8 u% `
======================
0 D2 b+ i: Y. w% U% W# b 5 UF_VEC2_convex_comb : 计算点在直线上的位置; v/ R6 v! R- ^4 p
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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$ Y$ ~/ G3 m9 v */
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7 O% R5 S: p( ~% y5 z UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);1 D; \" N8 _3 ?; w7 w, z! {
sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);0 Z& g' V4 H+ _) s4 S6 `( I
lw->WriteLine(msg);+ @5 j2 |" p7 Z" R$ f
# ^8 ~ O+ a9 g6 B /* 6 b; s; E! z q5 U. x- ?
======================
: X2 k% k0 v7 M' o 6 UF_VEC2_copy : 向量拷贝
6 R- z* ?. ^$ W2 N; |: T vector (vec_dst = vec_src).- W( H, T# }; M
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UF_VEC2_copy(vec_src,vec_dst);
2 B8 h' ~: y0 v5 m+ 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]);
5 B; s5 k) M* N% L lw->WriteLine(msg);
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+ O; e0 `3 z) k0 y' |) D2 d /* 9 W% h3 l; x7 Q# G! B6 [3 J9 [
======================
2 ]% O c% t* U* F; F 7 UF_VEC2_cross : 向量向量积
$ D9 l2 i9 q6 P! ?% u/ J+ n cross_product = vec1 x vec2
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UF_VEC2_cross(vec1,vec2,&cross_product);
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lw->WriteLine(msg);: S8 V+ A a- ]# Z2 G
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/* : }' H; V3 [0 \0 N# H& ~& l
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8 UF_VEC2_dot : 向量数量积8 c* H% x; Q) |( f( p" l
cross_product = vec1 . vec2% a4 x2 i0 f% F3 X0 D2 b+ v
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*/
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5 J4 a9 s* h5 z1 ?5 P5 |4 E7 z UF_VEC2_dot(vec1,vec2,&cross_product);
3 J$ J) q! X4 f4 n sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
/ W. W0 a. B' g1 z# p0 F k% [" } lw->WriteLine(msg); g" p* ?* ^" D& [+ Q
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/* * d( _+ i3 o# ^ h2 M" Y$ Z. h
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9 UF_VEC2_distance : 两点距离8 i5 v. u& R5 W& w0 V# D; b+ _
(distance = ||pnt1 - pnt2||)
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0 H5 t, H1 o1 _. j4 M! f" }) h: c UF_VEC2_distance(vec1,vec2,&distance);
* h/ k' j/ ?8 Q* ], |( f' M8 B# k sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
8 }1 q) R/ b4 e, y: U lw->WriteLine(msg);3 c( U$ X( J5 m
, L- M3 u- k8 O% Z+ v( }1 r' ^ /*
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10 UF_VEC2_is_XX : 判断矢量关系7 Q! q& a6 Z0 ~6 P
0 = false7 C4 L. U) V" Q0 Z" p: c I
1 = true6 D) L5 n3 r0 r) c9 u8 J
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% v: H! G% y, c1 {' @7 J# s UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等( }+ f m7 B* }. Y
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
! r# c8 l4 k4 K. s) C0 i7 j1 Q/ \ UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直
- I: I/ Q7 i% z& D5 r, ] UF_VEC2_is_zero(vec1,tol,&isZero);//为0* P- \- ` l6 C# |' Z2 r9 t" `: Q
' O# P* X/ w1 z6 O8 n. y 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);6 y+ C: y5 K9 _, L( z1 X6 o
lw->WriteLine(msg);
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/*
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11 UF_VEC2_linear_comb : 线形组合, @2 o$ E( ?3 F: {- f) o8 F0 H
vec_comb = (scale vec1) + (scale2 vec2): z! W1 \) k |' ?* r- R
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) n4 b0 {- ^. i# S 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]);
; C, J& i* j# \6 Q) @4 \( \* F+ e lw->WriteLine(msg);
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1 G9 V6 _, E L/ T& w; T /*
: X; Z y9 a; g' S- r+ K ======================
6 l! J: L1 R7 H& W0 \ 12 UF_VEC2_mag : 向量模
- v! a* V+ c4 \ magnitude = ||vec||( o! O. j5 T6 d3 E' q4 Y
======================
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k3 J- R. |2 I UF_VEC2_mag(vec1,&magnitude);
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- |, e% S6 o9 Y& n' X sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
2 O! f: j) @# f4 o4 n& K8 H lw->WriteLine(msg);
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13 UF_VEC2_midpt : 求中点
9 {; b; a/ p3 O/ `$ W7 N mid_pnt = (0.5 pnt1) + (0.5 pnt2)
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UF_VEC2_midpt(vec1,vec2,mid_pnt);4 L+ ]; @9 q- \0 j0 e0 g3 H
6 L9 Q( M# U) K8 r$ U/ G4 g# V* V 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 y- M0 x: H, V) L) K lw->WriteLine(msg);
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/*
$ z; R; V7 H- W% i ======================. b. T0 K+ V0 x4 g4 @5 g! Y
14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划
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+ d0 h7 s5 y1 H! y7 `/ ]) V */
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UF_VEC2_negate(vec1,neg_vec);
5 C, B8 F& V! |5 s UF_VEC2_rotate(vec1,2,vec_comb);
; b& a- F7 a* D1 U: \0 G UF_VEC2_scale(scale,vec1,scale_vec);3 l' N; T$ T# y. z0 v" j0 Y
UF_VEC2_sub(vec1,vec2,sub_vec);, `9 ]+ k* \! t& ~; z- c3 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],# ^: l* O6 i& Q; [. z6 [- S
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]);$ J% s: [( A& j
lw->WriteLine(msg);
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}
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