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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。
- w. Z: a* k, r6 F1 w5 y源代码如下!% g# z' F5 a. O/ e0 |3 C% O
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" s N6 J0 z) R' M0 m& J! e% Achar msg[256];2 a4 d0 N' j. H' L6 g/ H
const double vec1[2]={0.2,3.4};
- _1 O- U8 m& U+ Z4 Qconst double vec2[2]={1.5,4.5};
3 G! U3 K- `5 e. cdouble scale = 1.5;
0 k Y( M2 ~9 I, g2 vdouble scale1 = 1.3;' W8 C7 C6 x8 R3 p) K
double scale2 = -1.1;
" d2 W% ^1 E' j7 d! d; j! Qdouble sumVec[2],vec_comb[2],vec_perp[2];" p$ y. Z2 q8 Y( y" U
double oscale1,oscale2;% {# Y; R/ v7 z$ w& C
double tol = 0.0254;
6 b, O* o/ z4 F8 Oconst double vec_src[2]={1,2};
1 y! B' B2 _' c( X, F' L: Rdouble vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];7 U6 d. v. B7 ~4 s" }
double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];
2 l% J4 [0 M# @% g4 v6 Hint isEqual,isParallel,isPerpen,isZero;
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double parameter = 0.5 ;
7 Y& O. U! J8 Bdouble pnt1[2] = {0,0};- Z m( s a/ S8 B
double pnt2[2] = {2,5};8 s7 m' g& h1 b* r7 a" n: n
double pnt_on_seg;
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. m9 v. w2 G5 q$ u0 B" R# s7 F//------------------------------------------------------------------------------
7 k5 f& z7 j: l& K// Do something
* W; L0 u6 q& y6 V+ T//------------------------------------------------------------------------------% o: Z/ m* X# m! e
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void ufvecTest::do_it()7 ]8 `. m5 ]7 I7 N; Y' D
{
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// TODO: add your code here2 G8 S2 {( K Q1 x' V( k
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======================
/ P( g8 D) u2 m3 S h5 Q% [% z 1 UF_VEC2_add : 两个向量相加 1 f1 G3 C9 j: d! t! r5 u6 s
vec1 + vec2 = sumVec/ z' x9 N* t7 i/ A3 X: \2 r J
======================
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lw->Open();" f* j& c z0 T+ N
UF_VEC2_add(vec1,vec2,sumVec);3 D- I9 F5 H) _7 n5 Q4 `1 |. p Z
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]);, k" x6 t; d' j5 o+ L
lw->WriteLine(msg);
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/* ( [9 X( C- L: R9 \. L$ b# l% j( L
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2 UF_VEC2_affine_comb : 仿射变换6 u. I' O" V% i) D& O8 a6 [# `" R' q
vec_comb = vec1 + scale * vec2;5 M- N. x w' Q2 ~( F
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
$ u7 O/ R7 `1 L5 L- e5 | 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]);+ Y# P( z7 Q4 @* o: }9 Z, D* |
lw->WriteLine(msg);( N2 |$ L) m% e! O) v
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/* 5 v0 d( G1 J) \ j. F. x6 @
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3 UF_VEC2_ask_perpendicular : 求出垂直的向量 7 d6 g3 D1 D6 C+ M, j
vec1.vec_perp = 0+ I6 _2 s; Z3 J* k V
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. [8 c8 {( L R$ T% d) Y UF_VEC2_ask_perpendicular(vec1,vec_perp);1 }$ u' v4 ?+ Q1 O# T7 J( t
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
7 T9 v, S& } C K& ^5 G# b3 v lw->WriteLine(msg);
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1 ~7 Z5 u8 `7 D, ?) C /*
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# y+ j8 e. q$ X% c: U+ }5 T/ F 4 UF_VEC2_components : 求出垂直的向量
2 R. Z# @$ m6 Y" e, A0 L vec_comb = scale1 vec1 + scale2 vec2
$ Y5 W6 G; ` s6 p 返回: 0 可计算 1 平行
' L. @9 k. [8 ?. p$ f, u8 n2 T4 W ======================
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
4 Q% T3 [) V0 u& G7 z sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);
6 ]4 ?2 V: n, g3 n! w. i lw->WriteLine(msg);
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5 UF_VEC2_convex_comb : 计算点在直线上的位置8 ?' \! f5 ~, h& m0 R( T5 C
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2). & g k4 t) W$ L, Y, t. A$ z
======================
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5 P/ q/ g' e4 O! ^3 z5 T UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
; k: @# Q# E+ Q$ P% x9 X" l7 m# b sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
3 _5 s3 m& m& c- h6 n! Z/ ] lw->WriteLine(msg);4 H6 V+ O7 T0 r6 B
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/* ; W9 t, j" K8 Y: X+ _
======================
/ R# j- n |; k3 L( V5 l8 K 6 UF_VEC2_copy : 向量拷贝2 x" j c ^( e4 D3 y
vector (vec_dst = vec_src).
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6 p: O' ~. m- s$ D7 [2 n3 N1 r8 s UF_VEC2_copy(vec_src,vec_dst);
) c: g0 _. \$ {- t1 k6 [% V 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]);
" K( S- d I7 ? o2 ?" C lw->WriteLine(msg);
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7 UF_VEC2_cross : 向量向量积7 [& j1 H/ m" x1 k5 _ n% l
cross_product = vec1 x vec2& n8 L# P: R6 j+ w
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*/
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UF_VEC2_cross(vec1,vec2,&cross_product);/ ~) U, b' g& P( L
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
/ m1 I# j1 f b& ^* d lw->WriteLine(msg);
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======================
5 u9 r( {# B9 m; W6 [- w 8 UF_VEC2_dot : 向量数量积
4 z( \3 S5 e' X& N1 a cross_product = vec1 . vec2$ Z; k& d% F7 W3 v" n% N/ N1 V
======================
3 `0 ^# j4 p9 I- T& s0 U% N */
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: B2 `. l1 o& N1 t, T UF_VEC2_dot(vec1,vec2,&cross_product);" f, ?. f5 D& g/ X1 P) d& h6 a
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
$ Z L, \3 a, r- \9 K8 R lw->WriteLine(msg);- L2 P" n! M& T; c0 r. k/ d
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/*
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9 UF_VEC2_distance : 两点距离1 X# Q! t6 d/ t" l& X# Z- r
(distance = ||pnt1 - pnt2||)$ G2 O& ^0 o2 y
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*/
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UF_VEC2_distance(vec1,vec2,&distance);8 D# ]4 Z6 Z$ d$ J# d/ r
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
) J& u7 V# @) @% q0 Q7 [8 G lw->WriteLine(msg);6 ]/ v) }9 a. U, L$ A. ^: c& h6 }
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/* 3 D( d& h+ j U, {1 H, W2 P
======================
2 D2 u6 J" D1 k0 V3 C5 Y; T 10 UF_VEC2_is_XX : 判断矢量关系: w0 u. \4 y; w8 R4 t' ?% O7 i- T; D
0 = false1 X- i! v" M' w4 u3 a5 \) G
1 = true! I* F& l: m0 m& u
======================
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等9 A: r6 }! f0 u2 d1 v) Z
UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
' t: p, x. ?6 {& C& y6 D! h& {8 O UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直) E/ \/ b; z3 b
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);
! T4 w9 i+ U# N3 z( c v/ X" @ lw->WriteLine(msg);
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/* 0 v3 C7 e5 N, [
======================
: {7 Z, U2 e$ l 11 UF_VEC2_linear_comb : 线形组合, v/ Y! {0 n# T J
vec_comb = (scale vec1) + (scale2 vec2) T& F, \2 t* l+ m) B' {: m
======================
9 c `% i# T6 Y0 d8 P+ d0 |! p */
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);6 F+ A+ R0 H8 r# h' g
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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]);
; y1 C. \- f7 r lw->WriteLine(msg);7 c! x2 r9 o) J
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/* ! V6 [4 w8 X) P' g! v
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12 UF_VEC2_mag : 向量模
& ^0 X4 r( s* _* |; B magnitude = ||vec||
9 @( L2 ]2 Z2 n ======================
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UF_VEC2_mag(vec1,&magnitude);, S2 ^( z9 A; Z
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);) J' a4 }1 N2 R
lw->WriteLine(msg);, W( U( N/ G" S
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/*
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13 UF_VEC2_midpt : 求中点
7 M3 T- y) t+ s mid_pnt = (0.5 pnt1) + (0.5 pnt2)9 L/ |& N3 e7 W; d$ \
======================
( E. t3 r) w: W8 s3 N */
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- F4 s: y/ g5 Z5 I& q UF_VEC2_midpt(vec1,vec2,mid_pnt);6 Z9 n+ _. ]7 `3 }. ~3 _
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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]);1 j: R. |5 f9 T5 o
lw->WriteLine(msg);
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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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======================
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3 C' ^; H R* Q' j) k: b# q6 Z5 L UF_VEC2_negate(vec1,neg_vec);+ t K8 E$ o) M9 A5 @& u
UF_VEC2_rotate(vec1,2,vec_comb);6 }- w: l) m* Q1 K: T& _ f/ M5 }
UF_VEC2_scale(scale,vec1,scale_vec);0 y2 ~6 j2 G/ `
UF_VEC2_sub(vec1,vec2,sub_vec);1 ^% z6 q e) q
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);
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. B: f1 P6 O/ w4 n- g# Z 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],
! A9 M1 O3 q& { 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]);$ o$ ~! y: g4 H0 R
lw->WriteLine(msg);" o. B0 J! _- O) P& ]* ]
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}
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