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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。
0 f8 P8 u2 l6 @. v E源代码如下!+ e! i( m8 F) S3 Q5 I6 }2 q1 g" m2 d
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1 X; _- v; j- w8 T- tchar msg[256];
, P3 K$ W- S nconst double vec1[2]={0.2,3.4};
+ W" l# M; b6 v/ Gconst double vec2[2]={1.5,4.5};, L: j2 m7 f( U5 z* T6 w
double scale = 1.5;# F8 q7 _ s6 N$ i
double scale1 = 1.3;
# f4 v7 `$ ? P+ A; P: q6 ]double scale2 = -1.1;
" X& W9 _+ }3 {3 t" L0 J3 V1 h% {double sumVec[2],vec_comb[2],vec_perp[2];
8 o0 l7 t4 x" Z2 b. m) h6 Adouble oscale1,oscale2;
$ C, T+ g$ i1 cdouble tol = 0.0254;- r9 u# P2 |: V: N4 ~
const double vec_src[2]={1,2};( a- s$ \& m( A) g6 i
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
4 e* a1 ^0 T4 T6 Y1 `double unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];0 ^* d4 I; P% Z9 z1 ]6 q; E
int isEqual,isParallel,isPerpen,isZero;; ^0 f8 {) Y9 h: l5 c
q" Z# g' ]( h9 E! tdouble parameter = 0.5 ;. T9 y6 o7 R6 |7 I0 ]) W
double pnt1[2] = {0,0};
' r; u; j4 H+ P/ i4 Rdouble pnt2[2] = {2,5};: H% o% ~ b: j; {( a& c: A, }/ Q
double pnt_on_seg;
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//------------------------------------------------------------------------------# Z: T+ b6 H: C
// Do something9 j5 T3 B, u* e/ d; x! |2 D, ^
//------------------------------------------------------------------------------0 x- r$ v" G7 t/ W$ V1 p* ?$ M
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void ufvecTest::do_it()( B3 N* J, l `! _, X/ L7 C, e) o
{# ^0 Y2 A6 B* }' s6 k7 }. {
- d& F, H" \- F! B // TODO: add your code here
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/* 9 K: r$ k8 S0 Y7 U* O: q
======================0 y! o [; t% b
1 UF_VEC2_add : 两个向量相加 ; ~2 Z2 J% Y: F( V$ V
vec1 + vec2 = sumVec
' N* Q+ j9 s M/ w1 W5 h2 X7 f; _ ======================
" |7 [: ]" ^0 B */
( V2 A- F9 P' W4 d: P0 }: S; z) s0 m2 Z lw->Open();
: H8 F4 `% ]2 R4 j2 D UF_VEC2_add(vec1,vec2,sumVec);; K, ~6 i, I% p( M
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 g4 d7 w- G# S0 X0 A8 R% ?
lw->WriteLine(msg);
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/*
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r9 e' y1 [9 ~* L7 U5 q) t 2 UF_VEC2_affine_comb : 仿射变换
Z9 T' S2 Y5 C u, ? vec_comb = vec1 + scale * vec2;+ D! J3 C" D' \) F
======================
; k# j* R& | r. _8 B */
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UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
# n( U( g: T3 ], }) ?" w 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]);* ~5 p9 m7 f- P2 h; ?' _6 o$ R7 w1 K! O
lw->WriteLine(msg);$ @# P/ W( R: s u) ], c
, Z, G& V5 w" ^# V k1 ` /* ; c4 G5 z2 K8 V: t+ Y
======================7 j8 o- k7 O& W% y9 |: C3 X2 N
3 UF_VEC2_ask_perpendicular : 求出垂直的向量
$ F3 [; y( N1 B7 R) C4 A vec1.vec_perp = 0
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*/
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UF_VEC2_ask_perpendicular(vec1,vec_perp);
, s6 h5 }- t* j5 U sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);! d% I. }0 W K& m G, Y2 b0 @
lw->WriteLine(msg);! `2 M& Y- ~8 l% }7 u
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/* : v: i! S" Z# q4 D: p
======================
9 X2 w. k$ H9 F( R0 J. m8 I 4 UF_VEC2_components : 求出垂直的向量 z. Q, M G1 P( ]/ A1 Z1 k, E
vec_comb = scale1 vec1 + scale2 vec2& `- \- V" i4 f5 o
返回: 0 可计算 1 平行
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*/
# {6 W' ~1 ~8 [, a5 U
9 W1 F" T! z4 i* |; e8 E) U3 Q! q int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
h3 a. z Q% s" I' m( D sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);' @% M' C) `2 R8 t
lw->WriteLine(msg);% a/ v( d( l8 Q' u: |% E. n& ~0 O
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/* 3 l4 e' q% ]* I* q
======================
) T+ _& m2 N ~5 f6 G 5 UF_VEC2_convex_comb : 计算点在直线上的位置5 h0 |! k& v. u5 }# N3 {
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
) _ G6 c" y2 y" ~6 |& v ======================
' J4 E0 J) t9 i3 j" S */
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UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
+ n9 N0 K+ k0 j6 K% @2 a, ` sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
% Q+ U0 i" \ o9 H. y- e lw->WriteLine(msg);9 u( r" }: v4 A3 K: T1 Q
7 \* V! i; L9 z: X /* $ y5 B/ _6 j" D: Z& v; a. `1 u, v
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6 UF_VEC2_copy : 向量拷贝$ j! W& E" x" X* n
vector (vec_dst = vec_src).
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*/
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UF_VEC2_copy(vec_src,vec_dst);
1 D! n3 \6 D7 X7 _* q. w$ { 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]);
: G; C) |+ f5 I9 d7 G lw->WriteLine(msg);
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======================2 A# ^4 o: g/ d: c- u1 i2 E9 b
7 UF_VEC2_cross : 向量向量积
3 c+ A6 r. m3 |0 @ cross_product = vec1 x vec26 s# T3 F9 o2 t. \6 o' D2 P+ l
======================
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1 A9 u/ n4 Y9 ?5 o0 b/ t( f. } UF_VEC2_cross(vec1,vec2,&cross_product);
9 ~7 c- S$ a7 w+ t sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
$ d3 j8 `; o# m7 D lw->WriteLine(msg);& ?6 t7 H0 R4 R. q6 U% c% Y
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/* * L9 C7 N. r4 I P
======================
) u) B2 j; }( F, n- J 8 UF_VEC2_dot : 向量数量积
C1 C( o; |0 B, ~; y cross_product = vec1 . vec2
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*/
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UF_VEC2_dot(vec1,vec2,&cross_product);
, m2 [ M" F* `0 c sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);9 |0 C% g2 H4 k" d( m
lw->WriteLine(msg);0 t% ?0 W0 j/ n
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! v' _# F6 p, ?( {: g2 H6 B# G4 T /*
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/ e8 Q$ q9 C3 D$ v" w! n- S 9 UF_VEC2_distance : 两点距离" t) j4 [# H8 Y6 o: Y' s' H; B
(distance = ||pnt1 - pnt2||): ?% V. N) Y) ^
======================
* M) ^' Q; q2 l2 U! O1 @4 U */
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UF_VEC2_distance(vec1,vec2,&distance);; B4 N0 Y5 v* O8 s' O
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);
. ]6 w; Z; u% P3 W8 q7 N lw->WriteLine(msg);
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/*
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/ d* ~, Q5 z- U2 ^% B 10 UF_VEC2_is_XX : 判断矢量关系. Q8 L7 ^3 v' i8 Z1 T
0 = false9 W) `0 l* B& |- B' q% {
1 = true$ ]" a. W2 B# l- i" t) S) `& s
======================2 \( C* s8 N3 P
*/
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
8 q; K% o' S4 e; M6 r3 @' b UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行
9 o/ a0 g9 l6 ?3 d UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直( M1 L7 o) ]7 D g
UF_VEC2_is_zero(vec1,tol,&isZero);//为05 t; M. p1 {! z3 \; Y. t
! I' ?. L$ _9 [1 R 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 ?0 |: \" f8 U/ R& L/ p
lw->WriteLine(msg);
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/* $ y) `% c/ N1 i4 T4 h- O
======================5 k& e6 ]! G }
11 UF_VEC2_linear_comb : 线形组合' g3 b6 Y- P& s. B$ u# Z
vec_comb = (scale vec1) + (scale2 vec2)
& g9 [3 F3 h2 y9 ~# T' b$ T ======================; P3 _/ k. M. C6 H; T% z7 }
*/
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f' a1 r$ Z" V; t7 F& C* @. r UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);( t a1 y. O I7 m1 P
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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 a& p7 [! N7 w' m4 r
lw->WriteLine(msg);
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7 h# v3 _1 F8 f/ s- ]* ~7 I /*
" f8 E# v" H8 j) E7 V ======================
" }7 e. x2 w3 c& O1 J 12 UF_VEC2_mag : 向量模9 C) K S! B- E' C6 f# M
magnitude = ||vec||1 k5 H$ b& u& `0 o( ?6 E
======================
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UF_VEC2_mag(vec1,&magnitude);
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2 O) M3 } Q( y. } sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);
. o/ Z* j: C0 A/ O x8 \# h' _! U" g lw->WriteLine(msg);
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/* 6 G3 u" N4 d; b" g
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13 UF_VEC2_midpt : 求中点
: a% T, q! _' p' p3 Q e mid_pnt = (0.5 pnt1) + (0.5 pnt2)$ a& ~1 b t4 p
======================. x7 C6 Z, h5 G- a4 T( F
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' P- g0 a& ~6 i1 Q/ J- v; {& l2 O3 m UF_VEC2_midpt(vec1,vec2,mid_pnt);! j- l( f. w9 h1 J% J# q# d2 V
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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]);
) M9 L) _" y1 n4 z5 q7 ^ lw->WriteLine(msg);
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) c) I7 ^; n" C: V5 n; x /*
9 F. J+ p9 [1 a' _) Q! r ======================, x1 u/ d) b k
14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划& T9 l$ w, N8 x/ ^5 w& [
% ]0 c6 L0 p% G: K8 q
======================! \2 O& _4 @- q, _' m+ c" h/ H7 O" H
*/
; ^$ T3 J8 d1 S2 s R$ H2 x3 y
U" p( Z3 O+ y2 b% ^; o1 m UF_VEC2_negate(vec1,neg_vec);
. h# n6 W& f! z$ z o UF_VEC2_rotate(vec1,2,vec_comb);
) d4 ^3 Z6 d! ]. {, i& n5 U UF_VEC2_scale(scale,vec1,scale_vec);
0 h: @% ]+ z4 }/ O8 J UF_VEC2_sub(vec1,vec2,sub_vec); Z1 d7 A6 m- i
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);6 L# _. W8 V- k; A+ i" _: q- E
8 h2 e# V& e' ~) A3 d 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],
2 S7 E4 c* L( t4 F% r: n+ E 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]);
- f$ S; k2 Z9 L" v! z7 x5 ~: @ lw->WriteLine(msg);8 S7 g2 B5 Z) K# ^5 Q4 I
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