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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。: o7 y/ m0 A0 O% C1 ?
源代码如下!
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复制代码
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+ l) w3 w/ U/ n. G) O# b$ ochar msg[256];
1 d; k$ ?6 |9 ^& a% N/ K; }4 xconst double vec1[2]={0.2,3.4};
0 Q& m p- ^" z. Hconst double vec2[2]={1.5,4.5};" z6 Y' b( V" o& g( W5 c, X; k" @
double scale = 1.5;5 R7 ]9 ]0 }4 Q9 T* D
double scale1 = 1.3;- y" T* k! i$ v O
double scale2 = -1.1;# O8 p( t% }3 w& @
double sumVec[2],vec_comb[2],vec_perp[2];6 c2 y m1 x' o9 [0 l; w H- y
double oscale1,oscale2;
2 I. L8 U# S9 [( T3 t0 G- z$ S7 Vdouble tol = 0.0254;# i% U8 J1 q# _5 S' V
const double vec_src[2]={1,2};: V w( L0 }9 X6 c' I4 O# k4 L
double vec_dst[2],cross_product,distance,magnitude,mid_pnt[2];
p2 l8 M# o% T" s) c. Idouble unit_vec[2],scale_vec[2],sub_vec[2],neg_vec[2];7 l' P1 S h. D# z( C/ P, n
int isEqual,isParallel,isPerpen,isZero;& {$ U' p7 K* m( K0 J
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double parameter = 0.5 ;# g9 I$ U7 v3 M7 `8 C+ ~
double pnt1[2] = {0,0};4 ~, S% y* H: H. ^% y
double pnt2[2] = {2,5};
$ L9 v! d, ~$ g0 Qdouble pnt_on_seg;1 Y' t0 ] }, @
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) R8 `, b6 \ c' h# k4 L//------------------------------------------------------------------------------
) s+ `- a" j. B' a; Y e( h1 d// Do something1 e& q- J _% C0 h
//------------------------------------------------------------------------------
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void ufvecTest::do_it()2 u3 N8 O) g: `. h8 |
{
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; n0 j- m8 D" Q8 d# S6 J // TODO: add your code here
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/*
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2 u! p1 W& L5 p& Z$ O+ c 1 UF_VEC2_add : 两个向量相加
5 a4 }+ c; z: X: @$ W vec1 + vec2 = sumVec$ u7 F+ s( [2 y: | u5 |
======================
# e% \" g5 M3 F" } */( [: k" U9 r" K" f# R6 _! `0 {/ M7 \
lw->Open();* _1 y) ^: H$ v9 W# K8 p6 Z5 w
UF_VEC2_add(vec1,vec2,sumVec);4 G; U4 Z; E- T
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]);/ q7 Y# o6 h: N; R t7 S
lw->WriteLine(msg);
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/* ' z7 f7 ^4 L# v; {6 j) x* ? P
======================
J% t8 r$ V% J$ \* [0 \ 2 UF_VEC2_affine_comb : 仿射变换5 M O; y/ ~/ D7 L' Q" X6 o
vec_comb = vec1 + scale * vec2; k u9 F/ G! y1 i( d* K- \
======================
% F9 a* I" v7 l6 T* H */
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, Y8 A# ]2 ?0 Q# }2 c4 Q, f" i2 P UF_VEC2_affine_comb(vec1,scale,vec2,vec_comb);
/ L3 \ M6 b. x1 t" T& i 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]);2 ]1 N) V, M+ a4 k
lw->WriteLine(msg);
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3 Z+ }5 `* b! y3 H4 }( g \ /*
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- M4 U- `, ? T2 }; H9 p 3 UF_VEC2_ask_perpendicular : 求出垂直的向量 5 F1 X" P1 n; s4 u/ g- |9 l
vec1.vec_perp = 0
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& B6 o7 _+ C% \1 R4 e! V4 B */
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% w. k( Z+ V& i5 w% [) i% N3 f UF_VEC2_ask_perpendicular(vec1,vec_perp);
3 n+ b; a. i- Y& ^3 ~$ G6 y sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec_perp{%f,%f}= 0",vec1[0],vec1[1],vec_perp[0],vec_perp[1]);
) Z+ }( U; {$ {8 K$ U% O; G lw->WriteLine(msg);7 u% ?( t+ F4 g9 |* f( O1 i+ \
+ M2 |3 f- G, C: j! F- C# S+ V0 i. p /* + g* ?' Y; t, S' R1 B$ }
======================
y4 S/ d3 _3 |5 F 4 UF_VEC2_components : 求出垂直的向量
* \3 P- s% {0 r: ?/ Y vec_comb = scale1 vec1 + scale2 vec2
" C0 J5 O2 z. v 返回: 0 可计算 1 平行. z6 l6 i6 u# q8 _1 |
======================
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int result = UF_VEC2_components(vec1,vec2,vec_comb,tol,&oscale1,&oscale2);
* t5 @: \9 A, s! n# y4 |7 C7 x( h5 d sprintf_s(msg,sizeof(msg),"oscale1 = %f,oscale2 = %f, result = %d ",oscale1,oscale2,result);1 K0 H& ?$ {6 R5 h; o' P
lw->WriteLine(msg);4 z% `6 a$ v8 a' ?, X2 {/ v
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/* 9 A, v! _- ]. q, {8 u) ?7 U
======================
/ s1 J: f& N+ L% |/ A 5 UF_VEC2_convex_comb : 计算点在直线上的位置) z& a/ S% l' l9 Q& H: B8 P# n9 ^' q
pnt_on_seg = (parameter pnt1) + ((1.0 - parameter) pnt2).
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/ S* E+ R9 y' _% C/ b */
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; c9 O# b `* P. u& _# ^7 N# o$ U UF_VEC2_convex_comb(parameter,pnt1,pnt2,&pnt_on_seg);
/ j% H2 E1 t3 p1 x* R sprintf_s(msg,sizeof(msg),"pnt_on_seg = %f",pnt_on_seg);
% g9 n9 w% z) ] lw->WriteLine(msg);& f3 J, p6 V1 B# e( @: M3 E
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/*
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6 UF_VEC2_copy : 向量拷贝- G. }$ {/ A6 b. D5 t; s: N1 h
vector (vec_dst = vec_src).+ d+ v W) h5 S/ F, E5 Z2 |
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*/
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UF_VEC2_copy(vec_src,vec_dst);
- @: k% O: W+ I0 ~5 P8 [& N 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]);
' r7 j& n" k: j1 G$ ^1 a lw->WriteLine(msg);
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/*
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7 UF_VEC2_cross : 向量向量积
& ?% h" T8 r' F cross_product = vec1 x vec2
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*/
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UF_VEC2_cross(vec1,vec2,&cross_product);. C# J0 _' T$ Z; L. r' R
sprintf_s(msg,sizeof(msg),"vec1{%f,%f} X vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
& o5 d, Z4 C( K9 v lw->WriteLine(msg);7 r5 T- u9 v7 z* K \% @9 Y
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/* ' ] @4 _' }5 {" m2 ]
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8 UF_VEC2_dot : 向量数量积
0 {9 ?6 [6 p: N: k! q cross_product = vec1 . vec2
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*/
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7 C* K/ f; f- |2 @! @3 Y UF_VEC2_dot(vec1,vec2,&cross_product);
' F/ w( V V7 D, h' a sprintf_s(msg,sizeof(msg),"vec1{%f,%f} . vec2{%f,%f}= %f",vec1[0],vec1[1],vec2[0],vec2[1],cross_product);
2 e: h/ N3 ~1 Y. E1 w lw->WriteLine(msg);3 M3 O5 X2 c& w- B# Q
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/*
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9 UF_VEC2_distance : 两点距离' H, E+ N/ M- p
(distance = ||pnt1 - pnt2||)
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UF_VEC2_distance(vec1,vec2,&distance);" H" k$ ]$ U6 i* K
sprintf_s(msg,sizeof(msg),"||vec1{%f,%f} - vec2{%f,%f}||= %f",vec1[0],vec1[1],vec2[0],vec2[1],distance);# i7 n& t- @/ ]( T2 t& B; {
lw->WriteLine(msg);" Z' k$ w. u- H. X* z$ t0 z/ x
" F/ @1 w) h P3 o' S8 ^ /*
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10 UF_VEC2_is_XX : 判断矢量关系
, r/ G1 z3 [, S6 p* [ 0 = false
% Y8 F( l; n8 W; Y7 Y0 j" U 1 = true& @7 ]# D2 b' N8 m d* ?
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UF_VEC2_is_equal(vec1,vec2,tol,&isEqual); //相等
4 J* P# M5 c* [3 I' Q4 Z UF_VEC2_is_parallel(vec1,vec2,tol,&isParallel); //平行: ~1 v, {+ X, p$ S' H: M
UF_VEC2_is_perpendicular(vec1,vec2,tol,&isPerpen);//垂直! {% G6 ~( l7 g& g, {- W$ t
UF_VEC2_is_zero(vec1,tol,&isZero);//为07 G5 T$ L( Z2 I
5 {3 T, G; a! @' a! Z 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);$ y# F( z+ F6 J1 h
lw->WriteLine(msg);
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* w$ c1 ?( k& J, S$ e: |7 B u /* $ M( X' @* a" X- ]/ R
======================
1 }" _, G$ W" B* c: m! {5 _$ D 11 UF_VEC2_linear_comb : 线形组合
; n; N) l3 U2 K4 \1 B vec_comb = (scale vec1) + (scale2 vec2)5 l w' j6 U( {4 Z! N
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*/
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UF_VEC2_linear_comb(scale1,vec1,scale2,vec2,vec_comb);: _& |$ L9 ?0 [, D$ V3 x" Q
G- e) o: l- E. z" G 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]);+ U/ Z. \0 c2 Y) G/ F! y
lw->WriteLine(msg);6 e, }- J S" z) p0 P% i8 ]! m
6 ?, l! j; S: S; |! u /*
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12 UF_VEC2_mag : 向量模" e. U) g* m4 W3 }9 T
magnitude = ||vec||$ r0 ^" j2 J& w: k& U- u0 Q' @
======================
$ _( a T& L; U0 G3 Q# j& { */
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, R/ X$ X1 ?* p UF_VEC2_mag(vec1,&magnitude);7 M5 d6 J0 y* Y; _
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sprintf_s(msg,sizeof(msg),"UF_VEC2_mag = ||{%f,%f}|| = %f",vec1[0],vec1[1],magnitude);- r& C9 B+ Q- o( e1 F& e
lw->WriteLine(msg);' G! H1 u+ S/ U6 M; S
& w$ R I6 ` o( M# |" O0 D7 R2 u! ^ /*
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13 UF_VEC2_midpt : 求中点 / Z0 {& A: I2 I1 k6 V
mid_pnt = (0.5 pnt1) + (0.5 pnt2)* \1 `# T0 ?5 j1 b f! N
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*/
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+ O8 }& N+ ~5 s% M; f; k! ? UF_VEC2_midpt(vec1,vec2,mid_pnt);( R0 q4 |) R9 e: f6 v: e0 l- u6 C
' t' b& e. f, n+ L8 H) F: ~$ M 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]);) }0 z9 Q% R; Z7 x
lw->WriteLine(msg);
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/* % {2 Y6 S- x7 b; B; s0 S- |
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) C, [2 T; |5 F+ {& c4 e 14 UF_VEC2_XXX : 向量的其他操作,反向,求差,单位划! O4 l p/ ?8 `
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*/
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UF_VEC2_negate(vec1,neg_vec);
! U2 k! p+ l6 a' I UF_VEC2_rotate(vec1,2,vec_comb);
# |- u8 }$ E/ S3 H+ t! F m UF_VEC2_scale(scale,vec1,scale_vec);
/ F3 U$ h: [8 s& ^& P# p9 d UF_VEC2_sub(vec1,vec2,sub_vec);. H; F; I1 }2 {
UF_VEC2_unitize(vec1,tol,&magnitude,unit_vec);* U4 Q# t7 I3 T! D1 a" K
+ J% L8 K- 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],( Z+ p4 ~. g3 U7 r0 X% h: Y. U' I
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 A' q5 i2 {) ?8 ^
lw->WriteLine(msg);4 v5 S: G9 ]( J& `0 h, L' n
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