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GPS,UTC和本地时间的显示器
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& w" ]5 A9 Q& |3 J$ R2 I* f转载来源:GPS,UTC和本地时间的显示器8 F. R1 F# N* U
$ C8 k$ Q: K$ n8 V% x8 OGitHub仓库:http://github.com/XinLiGitHub/GpsUtcAndLocalTime
, X4 L+ _" `, Y8 GPS:博文不再更新,后续更新会在GitHub仓库进行。
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GPS,UTC和本地时间的显示器。程序中涉及到朱利安日期的转换,详细介绍见维基百科[Julian day](http://en.wikipedia.org/wiki/Julian_day)。; y: \$ e8 v8 i2 H
7 k# A, b6 w* W u1,开发环境/ @$ z* E0 v. [6 ~. e. {
1,操作系统:Windows 10 专业版, G6 N' u6 Q$ Y( Y, x) v5 [% K! w& z
2,IDE:Visual Studio 2015 专业版- k0 O9 t M* p( t. R
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2,程序源码
' f9 v' I7 w% J3 u3 T9 E$ x DateTime.h文件- Z+ h* U7 k0 V
' d( H; s$ S/ G0 T8 P( G- /****************************************************************
6 J2 n+ ~6 N; g# O; H; B+ z - * Copyright (C) 2017, XinLi, all right reserved., h( ^2 x A+ B. q2 x% r
- * File name: DateTime.h! l( h6 u4 Q0 A8 ^- t
- * Date: 2017.10.17
5 e5 b3 I, n; C - * Description: Date and time module header file.
- h, n( b5 u0 t% {6 h9 d( I - *****************************************************************/
5 m. |+ A A$ o; b0 ~ - 8 a- L% T' v* `% s+ J
- #ifndef __DATETIME_H
+ T/ k# H+ `" D: G7 g - #define __DATETIME_H
- ]& X! z1 i% a5 H& i- G - ' m K; s9 q, Y( i" o
- /****************************************************************
6 @3 ~, f6 l! a( N - * Header include
4 |) q1 q: M9 a, @ - *****************************************************************/
7 N+ @; e# {; P Z; Q4 f& w: s! h. z - W, n7 ?6 C# Z) g) q8 ^
0 V3 J+ _. l4 [& v; D# G- /****************************************************************
' O, b' D: W" s! M: ^ - * Macro definition! d/ X$ R# U. T$ q% U6 M
- *****************************************************************/
5 e3 L3 |0 D n - @% p- ]8 Z! g
3 i$ w; J# @7 e% ~- /****************************************************************' B% s* t* c1 R" W6 q
- * Type definition# h# f9 L2 o, Q3 p3 q
- *****************************************************************/
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- /****************************************************************
* _/ @* r+ a! j0 [( ? - * Structure definition
% [* t: |4 `. w$ H& ^+ ^ - *****************************************************************/
' n3 z/ U1 a( k6 ~ - typedef struct
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- int year;
3 A0 k0 v7 w9 `* A5 X3 _ - int month;! `- B" f, _& j* q' n
- int day;1 w- s _) h8 v- ^" T" j! _- T8 b
- int hour;
) m" Z! N; F* b7 a$ O - int minute;
/ B6 Y g7 E7 W- k, L4 f! x& K$ x - int second;8 R2 q) e; E; X
- }DateTime;$ F5 _& S7 h& j" ?& f
# C2 A6 {/ C7 F l+ Q9 ?. M. U- typedef struct
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- int week;& A$ I& x4 z3 l+ s2 T
- int second;
' m; w9 ^( }$ C9 [# M - }GpsWeekSecond;; Z7 v* Z( k- s3 I
) A9 S, G5 s+ J: ], ]- " d* Z& y- n& {0 H/ g7 g3 E
- #ifdef __cplusplus5 r7 z* _6 A2 Q4 ^5 a5 N) j% P
- extern "C" {& P% l: F0 d3 R; D; H, o1 V
- #endif /* __cplusplus */& z& Y9 [- H4 K* @4 t* A
" R) N% }/ Y+ U2 y3 S0 |- /****************************************************************! J+ \# O$ S x( B2 x3 B9 ?
- * Variable declaration( S. B5 I- W% y2 w) C5 b
- *****************************************************************/- R l5 p3 t f q* K* @* Y
- . D$ |" A! J: E& b
- - `% j; o0 `3 ^8 I8 R
- /****************************************************************
; d) k% t% l( U+ m1 ^+ {) j$ R - * Function declaration) b! x( q1 r, {: T# H
- *****************************************************************/
% l6 n1 n) |1 u8 [ - DateTime GregorianCalendarDateAddYear(DateTime time, int year);0 d3 Z' u# Y; X' j) g K; K5 q
- DateTime GregorianCalendarDateAddMonth(DateTime time, int month);+ K' i2 \) p- A, ]
- DateTime GregorianCalendarDateAddWeek(DateTime time, int week);
4 }' w& G6 |2 ^7 }2 F/ S& Q3 [( H - DateTime GregorianCalendarDateAddDay(DateTime time, int day);" ]4 N z l+ g9 w& e
- DateTime GregorianCalendarDateAddHour(DateTime time, int hour);
2 T. a+ v- g: I2 T - DateTime GregorianCalendarDateAddMinute(DateTime time, int minute);
, n# C3 n# f' E H% d( a# |- z5 _ - DateTime GregorianCalendarDateAddSecond(DateTime time, int second);$ W; x" ?4 X, Z/ \
- GpsWeekSecond GregorianCalendarDateToGpsWeekSecond(DateTime time);
" R! z2 o% Q& z+ j - double GregorianCalendarDateToJulianDate(DateTime time);/ s1 H7 A% r `
- double GregorianCalendarDateToModifiedJulianDate(DateTime time);
4 o5 F( [4 o3 J8 `1 o8 Z - GpsWeekSecond GpsWeekSecondAddYear(GpsWeekSecond time, int year);
. f( t4 D1 [6 [' ? Y - GpsWeekSecond GpsWeekSecondAddMonth(GpsWeekSecond time, int month);( Q/ |8 [* |( c# N. r4 L/ P7 x
- GpsWeekSecond GpsWeekSecondAddWeek(GpsWeekSecond time, int week);$ O( } o3 w7 g/ S! q T: N5 T
- GpsWeekSecond GpsWeekSecondAddDay(GpsWeekSecond time, int day);
# A& ^, \& A& G3 U - GpsWeekSecond GpsWeekSecondAddHour(GpsWeekSecond time, int hour);$ b/ }0 ?8 l% g$ t) u- l
- GpsWeekSecond GpsWeekSecondAddMinute(GpsWeekSecond time, int minute);
* C& v( ?" d8 E - GpsWeekSecond GpsWeekSecondAddSecond(GpsWeekSecond time, int second);
7 o4 |: [8 d9 R. _ - DateTime GpsWeekSecondToGregorianCalendarDate(GpsWeekSecond time);/ A# _3 v7 X9 ?3 k$ F
- double GpsWeekSecondToJulianDate(GpsWeekSecond time);
$ m9 I7 R7 U* {7 o - double GpsWeekSecondToModifiedJulianDate(GpsWeekSecond time);
7 K, _& m& D. n) e6 E - double JulianDateAddYear(double jd, int year);
: I Z3 n: _5 A+ w - double JulianDateAddMonth(double jd, int month);
4 ]( O6 T* C0 C1 K# C - double JulianDateAddWeek(double jd, int week);
9 i) Q4 ~ {& `1 A1 S - double JulianDateAddDay(double jd, int day);
I- N9 H$ _; y& H0 D - double JulianDateAddHour(double jd, int hour);; i/ E) |+ L/ O
- double JulianDateAddMinute(double jd, int minute);
. ^' r" J; U5 u - double JulianDateAddSecond(double jd, int second);
, z/ Q% @+ {7 e5 H+ r - DateTime JulianDateToGregorianCalendarDate(double jd);
6 A0 {# g& O3 [! w - GpsWeekSecond JulianDateToGpsWeekSecond(double jd);
4 z/ l6 e6 L9 H) W" d - double JulianDateToModifiedJulianDate(double jd);
3 I" J$ L! _7 F" i - double ModifiedJulianDateAddYear(double mjd, int year);
4 t/ H5 g, A$ ~ - double ModifiedJulianDateAddMonth(double mjd, int month);
8 |" N9 D% w; Y$ W: D2 I. R - double ModifiedJulianDateAddWeek(double mjd, int week);0 J: F0 P2 |. b$ B
- double ModifiedJulianDateAddDay(double mjd, int day);
+ h) F, j- W" a0 j - double ModifiedJulianDateAddHour(double mjd, int hour);; j7 m' ?8 M# R3 h: r
- double ModifiedJulianDateAddMinute(double mjd, int minute);
2 w9 {+ a/ O5 G- g" M4 [7 U4 ?0 I - double ModifiedJulianDateAddSecond(double mjd, int second);: S. K/ P4 Z. O, U# q
- DateTime ModifiedJulianDateToGregorianCalendarDate(double mjd);
1 r9 W" E( F4 V" ]6 A; P' x - GpsWeekSecond ModifiedJulianDateToGpsWeekSecond(double mjd);
! d3 T0 _. G+ D! V - double ModifiedJulianDateToJulianDate(double mjd);
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4 B/ B6 t. j2 c! D- #ifdef __cplusplus& [/ Q0 W3 D. {1 T
- }
4 _, F( i" |# [9 I! w - #endif /* __cplusplus */ a' m; ]6 O. g& k1 x9 F( p
: z2 D2 _+ _2 k) `: s- #endif /* __DATETIME_H */
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复制代码
7 ~0 Y4 B9 z& _+ g# e9 v0 Z DateTime.c文件4 A4 N; z8 u1 ~1 A: ~9 P
- /****************************************************************5 x* A6 i- s5 O
- * Copyright (C) 2017, XinLi, all right reserved.. K! ^: m3 S: e. A0 q1 o
- * File name: DateTime.c
6 w6 U5 t# P1 o8 j. G1 I' E$ V - * Date: 2017.10.176 ]: X% {* d% F2 P9 i* z
- * Description: Date and time module source file.
6 N0 B) e8 t# i* N8 O - *****************************************************************/
" @% V4 g; C2 K# O. H# O& x7 O- k+ x - 4 K5 V' u R3 L2 z, W4 ~8 I
- /****************************************************************$ w+ P' Z8 j+ Y7 C- X2 @* H
- * Header include
! e" m- h# C5 P6 J* A) e/ q | D - *****************************************************************/; I2 u9 l; e; Z4 }
- #include "DateTime.h"
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- /****************************************************************7 @7 z% f) T% x+ g
- * Global variables* M7 z% D* i4 G* Q! W
- *****************************************************************/
" i) W* |. D1 I$ O - 9 C0 U. t( i; x/ a! {' \7 R
- # _7 R/ @3 k/ |% I0 j
- /****************************************************************
5 S% ^ ?9 y* }8 ]8 n - * Function declaration
" l5 F8 d9 j9 t( X- z, W6 U - *****************************************************************/
& ]' q8 A' F! q" T# Z, E, o - : l; V9 o- ^: @- w/ W
5 m- A- j/ w/ j- s) c* x( a& _: u- /****************************************************************0 H6 M' t7 O! V" O3 a
- * Function definition, k$ N$ j1 |7 @, D, Z A f3 F
- *****************************************************************/4 R, P/ j: z4 R2 H7 d( [: e6 E
* J- A7 [* e ]. F! h) V( J7 \- /****************************************************************& Y8 [+ X% E0 o) ~" g7 d8 j
- * Function: GregorianCalendarDateAddYear
9 v y4 [2 m5 J" Q2 v4 Q3 u' H - * Description: Gregorian calendar date add year.
& D l v/ J5 @; n* u$ o4 x - * Input: time: Gregorian calendar date.
" y, N9 Q* l0 F5 D" p - * year: The number of year to add.
3 d5 R: Y" [$ V0 {8 O - * Output:6 m, ^* `9 `( m/ M5 o+ O
- * Return: Gregorian calendar date.
. {8 s0 h9 P/ j- _: l Z - *****************************************************************/
0 j$ |9 X8 o4 [, K$ \: j/ _ - DateTime GregorianCalendarDateAddYear(DateTime time, int year)
Y: S; U* U* t1 _ - {
" v/ D/ P0 x2 E) v9 ? - time.year += year;% C( z' J. C4 ]3 G3 F' b
- % ^5 a' w, r, h1 L7 F7 N
- if(time.month == 2)' Q: A$ _$ o9 D% @* W+ i" }: [& b
- {
' E) m5 i Y j; D6 P$ v; K" ~ - int mday = 0;
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- if((((time.year % 4) == 0) && ((time.year % 100) != 0)) || ((time.year % 400) == 0))' O' y* d! r, t# ^; H' f
- {
7 w) y9 G% e" y) ~) @* A. |* F" W4 F - mday = 29;* M5 V K5 M/ R) \' U% E
- }
- N( |* ]# Q! D4 c, a - else, K3 H% p i9 O2 y; R
- {$ l; y7 G) ^2 v: c4 F
- mday = 28;
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- ' Y. g3 ~4 I, G/ A# }7 U2 d, A7 B3 L
- if(time.day > mday)
. M0 z0 t, D% q. a$ H4 _2 v8 u - {
& ^9 j5 g* _& v0 P% C G2 Y - time.month += 1;
/ G1 x" L5 {4 V$ a - time.day -= mday;2 V# C( `. C8 K2 _0 \. t
- }
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X, Q( F' `8 O7 q4 z! H- return time;% t% S6 @: L$ Q7 ?( I' |
- }3 n% ~$ D# N4 n5 ?7 X/ D1 u
! P1 `( E: X# \! @" n- /****************************************************************
- u% f* W& |2 Y! M, E6 T" m - * Function: GregorianCalendarDateAddMonth, }" k: ]1 ^& H' L0 y) J) O
- * Description: Gregorian calendar date add month.
& r3 e/ {2 E$ z; v! A - * Input: time: Gregorian calendar date.
. U3 h9 g$ L7 N3 ~. b4 K2 l4 _% Z - * month: The number of month to add.7 v. H& ?- Q3 d# L0 g3 z" u
- * Output:
& G3 B, j/ h: O/ @" t! i$ T: T2 m - * Return: Gregorian calendar date.
% ^6 L2 X% h9 `; t# J% n - *****************************************************************/
$ |. g3 ?/ F/ i, n8 x - DateTime GregorianCalendarDateAddMonth(DateTime time, int month)
& V0 G- U, [* h1 r/ l# {' P6 s - {
6 O3 J; T7 h' l$ s; ^ - time.year += month / 12;) T9 J2 t* s2 ]( S" O
- time.month += month % 12;1 Z* q) p' T& ^0 G# C) i
' f- B# h& a3 [0 J. o$ ^- if(time.month > 12)0 t+ L1 q" w6 s
- {
1 H$ w# n; `" R - time.year += 1;" F' h( v7 S& h$ i( }
- time.month -= 12;
5 M1 v5 r8 p; M6 t$ A6 E0 y! x% c* \4 [ - }
3 \$ P ~% C- K: s1 B' F
! k; T( J8 Z3 c+ C- int mday = 0;
r- w6 |1 ?- u! b3 ?& W0 @9 W7 q% W - - L6 b$ o; J# `6 E# w ]( u t
- if((time.month == 1) || (time.month == 3) || (time.month == 5) || (time.month == 7) ||
) {5 [! T7 f- u - (time.month == 8) || (time.month == 10) || (time.month == 12))
8 D# v8 k# A* H8 Z) J5 |3 @ - {
. Z6 u9 p; A" N, v - mday = 31;$ ~, W9 ^# s, c
- }
0 [- `( ~* a q; ` - else if((time.month == 4) || (time.month == 6) || (time.month == 9) || (time.month == 11))
9 @$ K5 \, a" `0 [/ a$ O - {
( Q* }: X8 g( u. ^: g# G' K$ g - mday = 30;! q6 A3 m( N% t! X; y6 g) B
- }% H' e, S' n; k8 Z# S1 |. D5 A( T
- else' w& n* s: ?8 }7 d" D
- {" ^2 `8 u$ b2 v: A- ~: w: s
- if((((time.year % 4) == 0) && ((time.year % 100) != 0)) || ((time.year % 400) == 0))3 e6 i$ j5 V9 S* k" B6 o9 z
- {
. C( S1 n Z4 o - mday = 29;
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- else
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- mday = 28;
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+ ?* D5 e% r" o/ Q, D( y. h; v( @ - }
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- if(time.day > mday)
& Z$ z6 g( d: `" P+ D - {
7 E! G/ E* h% L, N7 k) l; _( ^ - time.month += 1;
' H9 }# L% A9 p1 ]( J( x* j( e - time.day -= mday;
! P/ B5 P, p2 c4 C! e! L - ) I, r1 Q/ l( c( U6 V, s. [
- if(time.month > 12)
( o* @) |6 _. L w - {
$ W, _0 D( f& q8 S - time.year += 1;
. w0 w% }6 s. J. j) I - time.month -= 12;
) q. c$ A7 E6 Z7 X5 q - }
# {# L) l7 J' [4 E" h1 O - }
( x6 ?2 G5 j/ v2 h% ^
9 e' r+ U3 s5 ?8 o# ^, a- return time;/ s* A$ j# O2 i
- }+ o5 H+ A# C9 [' C2 X* F
9 _0 e# e( O6 ~8 q2 W4 _- /****************************************************************
) i, G& G$ z% T2 C$ h! {( Y5 x3 C - * Function: GregorianCalendarDateAddWeek5 A- g" o7 y- C: D! W. x
- * Description: Gregorian calendar date add week.& b6 F3 M$ ]4 q- e# M0 ]) G2 Y7 h
- * Input: time: Gregorian calendar date.
. ^- z( {4 z+ R N3 n; R - * week: The number of week to add.; i( f; X" o6 \: Z/ C, {, P# m
- * Output:8 ~: T) E, d0 q9 D' u
- * Return: Gregorian calendar date.
" t- K4 S, ]+ C% s* A2 E: m3 b3 z - *****************************************************************/) Z2 f1 m: b) w+ O V
- DateTime GregorianCalendarDateAddWeek(DateTime time, int week)
+ e, H' Y& ~0 e, x! i+ N - {
4 N: C) O* B7 e- t - double jd = GregorianCalendarDateToJulianDate(time) + week * 7.0;, w' A! i5 R. o/ E9 S/ S) j
- 9 o: F2 I' ~! _" d5 R8 I
- return JulianDateToGregorianCalendarDate(jd);
% j9 b/ @4 A: v - }
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- /****************************************************************
. e* J6 X; P9 K$ ^/ V; W - * Function: GregorianCalendarDateAddDay; ~0 u1 h- _1 M d4 g% k& o9 y
- * Description: Gregorian calendar date add day., O; u8 x$ I; B2 {) t) U! n
- * Input: time: Gregorian calendar date.) m% U @% S7 X8 I
- * day: The number of day to add.8 r3 e1 L8 L+ T9 I t3 `+ k
- * Output:: b: A3 J# m Q& ^: ]8 U+ ?
- * Return: Gregorian calendar date. _. K3 B, o! ~2 u, c4 a) e
- *****************************************************************/4 z0 Z5 H9 m0 m. w. e- @8 H
- DateTime GregorianCalendarDateAddDay(DateTime time, int day)2 z- R2 s* r T6 ]
- {
1 |1 C& R6 C( L b: W7 K, P - double jd = GregorianCalendarDateToJulianDate(time) + day;
/ p/ t% @! h3 p* }, Z. m+ ^ - 8 _# d$ p. \9 r
- return JulianDateToGregorianCalendarDate(jd);
9 b$ C% }; ?9 l - }2 P1 q1 ?2 C# i9 ]
. w0 }! P1 q& l7 [1 E$ \0 t- /****************************************************************
5 J7 }+ P% C6 K) N( \0 T - * Function: GregorianCalendarDateAddHour
# I B" ]' H+ [& d9 y4 @( T. x9 I - * Description: Gregorian calendar date add hour.
, f5 O7 n$ t9 O1 A. L - * Input: time: Gregorian calendar date.
5 \/ {( A7 l; j5 k2 R: M/ e" m- ~8 y - * hour: The number of hour to add.3 N* u: b% l2 K1 ^2 E0 `! G
- * Output:
( h; f/ |3 `/ c, N- j1 }' L - * Return: Gregorian calendar date. i3 T" T2 L4 O7 u
- *****************************************************************/- j4 P0 n/ V4 V1 N C2 q) K
- DateTime GregorianCalendarDateAddHour(DateTime time, int hour)
0 ~- N6 O* n6 @$ T# c3 t - {! F4 ?. H. G; ~1 z1 o* g
- time.hour += hour;4 y1 Z) v% h+ }( M0 m2 R
{7 e) O1 P. ^- double jd = GregorianCalendarDateToJulianDate(time);
" O3 ]# f% @2 j# r+ f/ V - : K* \% A3 |# J' l3 P* P" j4 h
- return JulianDateToGregorianCalendarDate(jd);, x i- r( Q; i9 [" {. o6 I6 l
- }
/ p( I; [" T" W- ]& e' c+ s' j - 7 z- T+ c% L7 K0 `+ A5 w# s3 @/ n( B2 l t" t
- /****************************************************************8 ~5 X! Y6 x, k1 T$ d
- * Function: GregorianCalendarDateAddMinute( X- H% ^4 e8 e8 l7 o# }7 \ o0 u
- * Description: Gregorian calendar date add minute.
. K) _0 P( \$ E% X! Y5 ? - * Input: time: Gregorian calendar date./ ?: v' }; s* u: e! A* W5 a' ]6 t. j
- * minute: The number of minute to add.; w2 T3 Z4 e4 ^9 P- Z7 d2 h& J
- * Output:
1 p- |5 z' f1 ^ K - * Return: Gregorian calendar date.
: }$ R) s9 y) n - *****************************************************************/* l' }0 K2 J' [0 \! N5 S, ~
- DateTime GregorianCalendarDateAddMinute(DateTime time, int minute)5 X( H) m; X9 d ?4 |8 R. ^. J: T
- {
/ y& P: \6 s. R, V0 W# M+ F! \ - time.minute += minute;
" s9 r ]% q: i' D' g - 2 p5 ^* t8 n8 d, M6 h" B# p( Y
- double jd = GregorianCalendarDateToJulianDate(time);
6 D4 A) \" V8 Z7 I
9 u' a: {2 j; Q9 P: B ?0 V- return JulianDateToGregorianCalendarDate(jd);
) ^% G9 l5 ?9 ]6 X/ _- G. F - }
2 k, f, B9 Q" u" M1 l" X: l) b
* C: ]* z8 |' h5 Y- /**************************************************************** L' s) T0 N; o8 t7 U
- * Function: GregorianCalendarDateAddSecond
8 W7 \+ |! \: A# ? - * Description: Gregorian calendar date add second., O$ w2 ~: q1 w! x, x
- * Input: time: Gregorian calendar date.4 \3 Q+ d; X) d" }% K+ Z5 B
- * second: The number of seconds to add., p3 A, Q2 p7 r2 A) A
- * Output:
9 G' U( y" m5 O$ S - * Return: Gregorian calendar date.
% [! P/ G. g. u% P - *****************************************************************/+ g$ n! F3 U! {' Z; H a* a2 @
- DateTime GregorianCalendarDateAddSecond(DateTime time, int second)
& ^4 a5 F" s. d7 o8 d - {
' k2 b e! f9 G5 R2 y) ^ - time.second += second;
" ]$ b$ M5 }8 z6 C( T - . J! R. w1 `! D" |
- double jd = GregorianCalendarDateToJulianDate(time);
- r# d( V6 O3 E - + [- j/ K1 a M3 @; l
- return JulianDateToGregorianCalendarDate(jd);
, `/ C j- n8 q M6 Q* | - }
" B( S- |/ L0 q4 Y& K7 S- f
) D }# @( Q. @/ y9 w- /****************************************************************
" d+ P% ~! {* Z+ E( W% N/ l4 I) X - * Function: GregorianCalendarDateToGpsWeekSecond
& n* a; `% |6 G9 f! I3 c4 G - * Description: Gregorian calendar date to gps week and second.5 e8 ?: U D5 K. k$ Q6 t( y
- * Input: time: Gregorian calendar date.
' U! R7 ?: c4 Q* y8 v& c' u9 ` - * Output:
: |2 |: g& `6 U6 {# F) l2 B- H - * Return: Gps week and second.: f; i. @: k2 ]8 C2 J- r+ I
- *****************************************************************/# V" O* _- A8 p* t2 Z
- GpsWeekSecond GregorianCalendarDateToGpsWeekSecond(DateTime time)( j; d, S9 |# m
- {
, h' h1 }3 h1 k& t( F - double jd = GregorianCalendarDateToJulianDate(time);
7 s. J2 v4 J) G; m
! X2 l5 p" _0 |8 i, H- return JulianDateToGpsWeekSecond(jd);
7 f. i \' Q3 U4 @: ~2 } - }" O2 z% V' E9 J
o# e/ e% a3 E( U- /****************************************************************
$ ?% k. v, X* R8 Y - * Function: GregorianCalendarDateToJulianDate
7 U; f! U# T" I - * Description: Gregorian calendar date to julian date.
* C5 o) ]* Y. u9 C& C - * Input: time: Gregorian calendar date., E2 a1 Y/ k( U; Y
- * Output:. ^# @8 V0 m/ X" N; q6 o% q
- * Return: Julian date.
8 x. m' L _; w. `+ u/ u# H - *****************************************************************/
% F; Q& c" P0 f, T$ S# i+ M' Z - double GregorianCalendarDateToJulianDate(DateTime time)! `) @! F( U: L- M# \
- {/ l* \5 m7 K+ U# ?. L
- int jdn = (1461 * (time.year + 4800 + (time.month - 14) / 12)) / 4
/ `8 @7 u! J7 T! L - + (367 * (time.month - 2 - 12 * ((time.month - 14) / 12))) / 12- N% `$ X2 |# n, w, Y
- - (3 * ((time.year + 4900 + (time.month - 14) / 12) / 100)) / 4
# |9 n# i( x6 o; i! G - + time.day - 32075;, ] J6 |% s! ~- z. J. F+ ]- r
3 k) R7 o1 C) t* q* H3 ]: j- double jd = jdn + ((time.hour - 12) * 3600.0 + time.minute * 60.0 + time.second) / 86400.0;2 ?7 Z+ a1 `% K5 g% f
4 S m" M1 b) A, x5 W- return jd;) J+ D. p' _; W ^! k J# ]% o
- }
% g z3 U9 ?0 i1 J! Q3 i& P+ M
( d" x" D. S6 o7 n, `& Q$ ~- /****************************************************************
5 N/ ]3 N, v; N$ |# s) A - * Function: GregorianCalendarDateToModifiedJulianDate
$ F0 T. h! U) y% d5 U- m; t6 p/ L - * Description: Gregorian calendar date to modified julian date.: ?1 t2 c% h" R7 d8 h8 u2 O9 Q8 ` q
- * Input: time: Gregorian calendar date.
. t8 F0 B& q o; T - * Output:
4 w0 C/ N1 U6 i3 D3 | - * Return: Modified julian date.2 B1 W u& N0 u
- *****************************************************************/# Q8 i' V( G1 {1 n
- double GregorianCalendarDateToModifiedJulianDate(DateTime time)* e* h) ~& W) M
- {
U& [ c6 e7 I& @1 P8 p2 h' a. p0 Z - return GregorianCalendarDateToJulianDate(time) - 2400000.5;
0 w' w, ^. `0 x0 h1 G7 U - }
) U% p; I/ D6 m A2 U2 @: v
! d& F+ l+ P/ h l; Y- /****************************************************************4 I( H& d1 B. T- z5 L0 ]
- * Function: GpsWeekSecondAddYear
V$ P/ [1 k9 i3 @ - * Description: Gps week and second add year.; T6 ]3 N' d' b% M6 V3 ?& ?( N
- * Input: time: Gps week and second.8 b! `3 J+ X, D3 E% P& T7 J) V' Q
- * year: The number of year to add.
- h! h, C5 R6 t6 p& A - * Output:/ l; X6 l& ?3 f- p- t8 ?
- * Return: Gps week and second.
, V, e2 C$ l3 J% ]! k4 A" K - *****************************************************************/; i. x3 P& |0 x U
- GpsWeekSecond GpsWeekSecondAddYear(GpsWeekSecond time, int year)
. t7 d0 H" j- k. o! J# f - { ~( x: L2 d7 v v0 g
- DateTime date = GpsWeekSecondToGregorianCalendarDate(time);
* e4 ~7 S: o! ^1 t
; k* T$ s0 t5 S* P- {8 N- date = GregorianCalendarDateAddYear(date, year);
) |# y. u4 _* t1 H. H$ b& k8 T7 [ - - H0 Z4 [, G1 f0 z) @# Q- @* d
- return GregorianCalendarDateToGpsWeekSecond(date);
5 ^# e8 b1 b. S - }# J6 Y5 `6 p3 ~, k# ]$ I1 w9 r" A
- 2 s8 d* X4 d+ p5 b) Q/ U3 o( _' a
- /****************************************************************) F. A* Z( D9 r* i2 l
- * Function: GpsWeekSecondAddMonth; @# {* h5 A; @: j
- * Description: Gps week and second add month.9 _7 }, ~0 v( v: O& t X, u
- * Input: time: Gps week and second.
: i7 N9 f" \% m4 { - * month: The number of month to add.
. ~4 F; C* O6 T6 ~4 z - * Output:! q* C: w0 l7 o7 A
- * Return: Gps week and second.
6 g9 N+ o' S4 G1 n- ~ - *****************************************************************/
* h8 Z% w \7 Y+ _3 W - GpsWeekSecond GpsWeekSecondAddMonth(GpsWeekSecond time, int month)
; q% g' D. G. b7 l - {
+ x8 Q7 ]3 g0 v6 `% p( p6 b - DateTime date = GpsWeekSecondToGregorianCalendarDate(time);
/ @* m% c) Y- E* g" b5 Y - 8 ^9 R% R3 x+ N: ?: O3 A$ B
- date = GregorianCalendarDateAddMonth(date, month);# ]3 u3 @5 o8 ~8 [$ N
- 1 ^* k: g: h6 z" F y/ v. P5 J( T
- return GregorianCalendarDateToGpsWeekSecond(date);
; q4 R& q2 C- V' `; r2 } - }" h ]$ R* H6 u- y$ x' a3 B% U6 z
- 7 y8 ]( d( }0 \" L# t# a
- /****************************************************************5 z$ q! ^ ^* }: s2 | ~- n6 n% p
- * Function: GpsWeekSecondAddWeek
# Z, b- {# i/ R - * Description: Gps week and second add week.- w8 l; B- s6 ^5 k- ]0 m& i w8 @
- * Input: time: Gps week and second.
" J) |& P* {4 x1 ~/ k7 t - * week: The number of week to add.
& g# R# M6 Q/ P$ e! z - * Output:& L0 O# K$ L" J$ h. M1 ]
- * Return: Gps week and second.
6 y- N1 I' U" T8 b; w0 J/ T - *****************************************************************/
7 @" Q& y! t! q8 z+ i4 }% n - GpsWeekSecond GpsWeekSecondAddWeek(GpsWeekSecond time, int week)
5 @6 u% I+ W, M - {( B) L' {6 R# j }6 s
- time.week += week;
* X" j/ X/ z7 C. C# {+ E: i% p& E - 9 z0 I$ L9 \. Q( }3 m1 F" B
- return time;
' Y9 p/ `: S6 [/ k+ E- k - }
+ `$ K& L, t5 ?& r" J! B1 {9 n
# ^! K4 \& \- b5 Y& U8 S) h$ i! r- /****************************************************************
0 s) k3 ]5 w' N4 E. {5 m7 c5 L - * Function: GpsWeekSecondAddDay) a- ]! m8 k: e4 X; x+ K! e
- * Description: Gps week and second add day.. f7 B/ }5 U Q, m+ C0 x {9 i
- * Input: time: Gps week and second.
4 f2 I- O( m& X; U! P8 W! I - * day: The number of day to add.
! ~ K2 w; I9 E$ H& p3 ~* j9 E% Q - * Output:
! k" u& C( I J- k# i: U/ q. _3 y - * Return: Gps week and second.
6 S( m3 G3 y: ~1 t- o - *****************************************************************/ k: o$ L8 R! i8 ~
- GpsWeekSecond GpsWeekSecondAddDay(GpsWeekSecond time, int day)3 z% @: \4 F% Q6 r$ U/ o6 @
- {
2 ?0 x; t# `" e' z7 F$ c - time.week += day / 7;
- v8 Z1 N; o% S; y1 m - time.second += day % 7 * 86400;% i! T' N; a) _; f
- & z& Q8 z% W# ^ P; a7 d4 c9 D
- if(time.second > 604799)
- O, q, \- c8 b% N5 _3 [( h8 o - {$ r+ K! R" Z3 |0 V3 e0 v
- time.week += 1;; e0 u5 X& c2 Q; n/ P
- time.second -= 604800;
`( T( l6 Z. j" C+ [) p+ J4 ` - }' W' t. w f! n
- 9 M8 g) x1 L% p- }
- return time;5 {, }- {! g5 l6 B) o1 |
- }
- X t) n# _) M5 l
. I9 W! a7 |$ h2 K7 ?$ Z- /****************************************************************9 R5 T) E! b3 X/ O: q ?: `
- * Function: GpsWeekSecondAddHour
7 B9 G/ s3 K$ w& u - * Description: Gps week and second add hour.
+ |% `7 x" H+ p3 ~" O' f - * Input: time: Gps week and second.
) P9 `; |; O- s3 S - * hour: The number of hour to add.
. Q. v* s7 G4 q6 G( P* N - * Output:
N( Y% v. n, f4 b3 H8 u - * Return: Gps week and second." I2 q6 c+ G. U& P6 G
- *****************************************************************/
% z7 `8 Q9 I' p+ J+ n' { - GpsWeekSecond GpsWeekSecondAddHour(GpsWeekSecond time, int hour)
5 T: z1 O. b( j. v4 A* X - {( C3 Q, X) \" l! r" V, P9 k
- time.week += hour / 168;6 x$ s( ~! Y9 ?4 h$ _
- time.second += hour % 168 * 3600;( x) F, c3 l- i' j. S
- " H& @; N0 O$ L. A2 y- r% X" T0 y
- if(time.second > 604799)
0 ^8 M4 ]' }; R' y - {% R+ s/ X$ v* U0 E
- time.week += 1;: x# |+ }- ^! e! |! A/ o ~
- time.second -= 604800;* H$ }& c! ]6 x+ o' o
- }
W6 }. H: q- T& l$ J$ a -
T! @5 d" D2 v" l - return time;
! e" T# l- ] c$ x( e0 H% F* M/ M - }
9 V% l: Z& j( t+ g
0 ^) z4 F# {, r* q3 H! s& B2 {- /****************************************************************6 w R( b, l: c: @
- * Function: GpsWeekSecondAddMinute- N6 w- |' x/ @' @7 K* a
- * Description: Gps week and second add minute.
' E- m$ D: h* \, w - * Input: time: Gps week and second.% c8 T n6 L& x ^5 c
- * minute: The number of minute to add.- T& v# |% v+ ]) Z1 @6 a% G
- * Output:
# a( X( k1 m$ m, o8 ]' o( z+ r - * Return: Gps week and second.: z- W3 l/ F; w/ m; F7 p
- *****************************************************************/, O- `% r1 t& Z# ~
- GpsWeekSecond GpsWeekSecondAddMinute(GpsWeekSecond time, int minute)
/ X- K& u! J1 b2 O - {2 i8 ?* [6 S$ t
- time.week += minute / 10080;; {, S6 @# j* ^8 i( d
- time.second += minute % 10080 * 60;- {; I9 b3 W1 D$ q H# L0 V
- / B, U4 M; \0 J! P1 ]* A3 a, a
- if(time.second > 604799)+ U( z+ w9 I, ^! \5 S7 k
- {( q4 t7 R3 U# D6 b8 S- y/ A& X
- time.week += 1;
! y+ r1 g, ? L, k0 \+ y - time.second -= 604800;( p6 E' F1 f+ x0 P4 e0 s: J& b! L
- }
- ]$ \, `# T4 o) k% W- R! ^& \ - ( B, M+ ~2 c" S t E! z
- return time;+ ?6 S" T2 `4 [! U" Q% o' K
- }+ D, ]- T5 S7 J+ U
; h2 w9 z; [3 H4 p- /****************************************************************# k4 h; X4 |* d6 o
- * Function: GpsWeekSecondAddSecond9 U$ X9 u- F9 S* o
- * Description: Gps week and second add second." _# Z, o9 Z2 [. S) e" K3 u7 N
- * Input: time: Gps week and second.
. W! o6 ^. h- f5 v - * second: The number of second to add.
3 I" b) p& B0 Z* J9 s0 Z6 \1 m - * Output: C1 m7 F5 K6 n: P2 ?
- * Return: Gps week and second. T1 [2 i- P. |: F' ^# U3 h$ V
- *****************************************************************/
- m- _' @) D0 Y2 \2 Y: r( M - GpsWeekSecond GpsWeekSecondAddSecond(GpsWeekSecond time, int second)
4 f$ Y4 z ^7 D/ ?0 {/ G( N* [8 @ - {
' G( q6 \% Y( a% x6 C0 m - time.week += second / 604800;
, S( X- l! z3 S; S( R7 Y1 p - time.second += second % 604800;0 u7 J r Y0 @! ~$ j( b+ z
+ |) A' r# P D2 K# p- if(time.second > 604799)
) i1 n6 l5 d; g* r' x$ Q1 t - {
$ O6 I- ~' l" B$ G6 T$ ^( `" w& P) { - time.week += 1;
; |) t9 Q! j$ |, D5 X* R - time.second -= 604800;/ F |# Y& m. F- e/ r$ ]+ j
- }
5 a5 I4 N8 W7 }' ` -
7 d% _7 @( p5 d2 H; h" ]6 g - return time; p0 y) T9 G, X# B
- }
' a- _) f1 ]0 k) v/ e - 2 J* X& \) C2 f+ q5 D
- /****************************************************************
7 I, u0 f9 x* _. L - * Function: GpsWeekSecondToGregorianCalendarDate3 w5 c' V& D8 ]! k/ K' ~9 Q1 w
- * Description: Gps week and second to gregorian calendar date.
D/ V0 h8 `; Q' `3 ?; ~ F9 e& K - * Input: time: Gps week and second.
& r6 D9 ~ Q1 i, d A - * Output:
C" N1 e; {8 d3 W/ n |! `) f/ K) z5 y, [8 q - * Return: Gregorian calendar date.
1 u1 w2 z) |& {, \- V - *****************************************************************/
9 c3 p* u' |; d - DateTime GpsWeekSecondToGregorianCalendarDate(GpsWeekSecond time)' v1 s9 u+ ?5 h D
- {0 F) l8 S" ^' }! k
- double jd = GpsWeekSecondToJulianDate(time);
2 ?$ N4 s$ x, {! v* ?8 y. k7 b - a$ V. H2 g8 z- ?0 l4 |0 b8 m
- return JulianDateToGregorianCalendarDate(jd);
4 A( U: k+ p$ { - }
1 F- \' e' {+ A% V/ R" Q0 }3 \ - & _* i$ i; ~& W2 v) }
- /****************************************************************
3 O& E/ K/ X% O! j - * Function: GpsWeekSecondToJulianDate
& M8 `) D; m9 F9 l0 g4 _ - * Description: Gps week and second to julian date.& S" f9 E& E( n, p. ~9 s) b9 e
- * Input: time: Gps week and second.$ ~0 w o8 a1 M4 E( x
- * Output:) u, c" q: `) S3 [" O
- * Return: Julian date.
, J' z l0 g6 Q - *****************************************************************/
4 ^4 P& q' I ^7 A9 b( ~ - double GpsWeekSecondToJulianDate(GpsWeekSecond time)1 I( L3 t. C, {0 Z; b* j0 T: \
- {
& I, _; ^ l7 y( U/ I9 y - double jd = 2444244.5 + time.week * 7.0 + time.second / 86400.0;
' _; p7 j' o2 _ b0 J5 W( W
+ a% M/ C4 p) r- g- d) r- return jd;
. c; d8 _/ C; W6 Z T3 ` - }/ j/ E; h+ V. d! q9 ^/ F( w/ X3 u
! Q& Z( H" \3 ~' K; z- /****************************************************************/ J* O3 f7 E/ @$ Z! \' C7 @
- * Function: GpsWeekSecondToModifiedJulianDate
( a, P' P+ u8 |; n6 }& }9 I2 o - * Description: Gps week and second to modified julian date.! m) h I! z* S
- * Input: time: Gps week and second./ Q4 l$ F/ _) w( E
- * Output:
" |' A# Q7 j" U+ l - * Return: Modified julian date." q9 T7 }, S9 f; i1 `% `
- *****************************************************************/" d) Z) c: K4 \0 N$ _" [
- double GpsWeekSecondToModifiedJulianDate(GpsWeekSecond time)& w. C" ~" Q5 m6 j+ I! U
- {
0 U. {" S0 D% J - return GpsWeekSecondToJulianDate(time) - 2400000.5;0 i- S1 d8 P0 ]- Q% D
- }! l; g. x1 ^8 M; K+ E8 w1 ` |( W0 z
- Y! E3 b0 q% n- B8 C/ z
- /****************************************************************
5 W, O; E, x* c- y- _+ g$ f - * Function: JulianDateAddYear
- |8 d2 |/ I+ }' z) G2 R$ J% }3 c9 P - * Description: Julian date add year.
7 a& _9 B2 _2 h' {8 U1 l1 I - * Input: jd: Julian date.
& j: F- A) }8 E1 z. i - * year: The number of year to add.) T* W: ]; m; N' F
- * Output:
' V8 p8 \6 g G" s. q0 K( I - * Return: Julian date.
0 E) C8 L$ o( j1 ` - *****************************************************************/
& u5 A' L9 m, m# g' A3 K: q - double JulianDateAddYear(double jd, int year). M! Y" P3 b/ W& j7 O5 l
- {
5 ~/ S: J" k% h0 Z. m( T; `" w/ } - DateTime date = JulianDateToGregorianCalendarDate(jd);
1 b1 X, T1 X+ }: d! n( f1 X. a! b" f - % d3 [9 U/ `# x# F d/ z
- date = GregorianCalendarDateAddYear(date, year);7 j9 M4 @$ }) A& M0 X
- ; I1 j, n3 t* {: J3 i7 G: g
- return GregorianCalendarDateToJulianDate(date);3 j1 c* E2 I7 F: h0 T# A* W* p
- }4 s* P+ I2 M" A8 y! f
- 6 u8 B; L n" ?
- /****************************************************************' G5 k' c4 S* G: h5 Y9 }5 G! J! y
- * Function: JulianDateAddMonth* g8 {- h/ O9 f; {/ _3 i* K% P! w
- * Description: Julian date add month.
( c7 V! r' e, R5 Z, m$ r - * Input: jd: Julian date.2 C+ n8 j/ h: r& l h/ ?
- * month: The number of month to add.
4 S6 L# m1 _' g) f! O - * Output:
& u+ h! Z$ F- A- k - * Return: Julian date.7 }) w' t/ Y' p9 W- E/ O
- *****************************************************************/: d( u1 Z8 g% E4 H+ k3 B
- double JulianDateAddMonth(double jd, int month)
2 U: |8 {+ l2 O - {
7 _8 k- e) u4 ] - DateTime date = JulianDateToGregorianCalendarDate(jd);
" D* {( Z3 F7 F& F. O) |, u- ` - / `7 m' J" h( K( W
- date = GregorianCalendarDateAddMonth(date, month);/ l! @7 k% U6 m- W' d2 P2 }
) n8 |6 I! X9 x2 H- return GregorianCalendarDateToJulianDate(date);
8 M. I( B4 F1 w1 X# k4 r3 S - }$ X- _3 _6 Y3 X8 x1 F- P; C+ r
J! }; h+ c& j9 j; F8 i; i- /****************************************************************
3 I( ^2 I5 {; ?, W/ o! j: I! B - * Function: JulianDateAddWeek
3 l- I2 W8 K$ j% | - * Description: Julian date add week.
0 ]; Q1 K' N6 l, N - * Input: jd: Julian date.3 Z9 t y5 O2 v9 R, g9 F
- * week: The number of week to add.
, [ f' X4 L/ Z& k% i0 Q - * Output:' M* B g; @: I" Q. j0 y* u
- * Return: Julian date.
( u. U: }% H5 g* g0 n5 c$ m ?# ]. q - *****************************************************************/ \ ]; B+ b! I. B% Q7 e
- double JulianDateAddWeek(double jd, int week)9 Q. c* d% u3 b" _/ ^2 m
- {
' r: D# m" W6 Q2 E+ Z/ b. f - jd += week * 7.0;8 U0 ~* h9 G& M' _6 i V
, T8 b7 U# s" l% |1 A: W- return jd;
/ ]0 }, [# @! |# a0 J3 j, ?! X - }
2 d# r" C1 z! Y1 L8 p7 @ - $ R3 u8 w- W& D5 p7 S9 z6 s4 f
- /****************************************************************
6 ?: t% d+ Q( i - * Function: JulianDateAddDay9 |6 m2 @4 ?6 ]3 f% r( G W
- * Description: Julian date add day.5 Y& z& G3 t) u! r( c
- * Input: jd: Julian date. s& x; s& z4 k6 I) j- w) F5 ?
- * day: The number of day to add.
& q" A& _" f% j$ F - * Output:- e( y& ]9 k- X5 Z( I
- * Return: Julian date.
. {9 u5 \1 I0 M0 U9 i - *****************************************************************/
% i: e& @& N0 G F% L2 a - double JulianDateAddDay(double jd, int day)
4 i* }9 X {" P( O( K+ f! S+ E4 Y0 W - {
. {/ m- h3 j& x9 J9 {5 R. m" a$ ^6 F - jd += day;
- y! @) W" d2 @0 p$ X+ S8 W
% a: T2 Q B; M9 O9 J4 X8 S% _- return jd;* i4 C" J2 b, N; K& ?( z" }. v0 ^
- }' s7 j; t/ Z0 v2 }( r5 U5 n* S X
- ( P6 Y9 [( |% S& Q5 W; W b1 E$ A
- /****************************************************************5 p0 B1 T9 z4 Z0 V% Z0 Y
- * Function: JulianDateAddHour
6 ? N& I$ k, F# U - * Description: Julian date add hour.
' s' L# D# ~9 N$ Y - * Input: jd: Julian date., @- ?' t8 T$ L# E: Y
- * hour: The number of hour to add. R; _% p! j- n; u) w
- * Output:
9 F0 j. F3 E+ e; ] - * Return: Julian date.! d$ M+ q' l3 o) w4 n; i0 m* E, p1 ]
- *****************************************************************// D* H, \2 `& R) ?
- double JulianDateAddHour(double jd, int hour)
; q- X9 y' s% y* U1 f. z - {
8 Y+ F7 d) A) S! O - jd += hour / 24.0;. E0 u2 G6 L- O3 {# z" G7 C
- 9 {, D. |! G y, j H
- return jd;
P' O6 @8 ?, G' w) ^2 V- s' ~8 F6 } - }
( [# |" h% M4 Q' x
0 l% z0 [# h. d2 f, F0 J) ?* p3 t- /****************************************************************
, s: K$ R7 O# k& r; Y1 } - * Function: JulianDateAddMinute2 I- ^% s5 M% X9 O% ?
- * Description: Julian date add minute.8 I( i7 j) _; j4 L) p" j0 G
- * Input: jd: Julian date.
2 ]. K. L+ p$ z, y6 j n - * minute: The number of minute to add." H: D$ c v1 A% d
- * Output:
! O1 A' G! D6 A8 M& C - * Return: Julian date.% }- b1 q/ i( ^* o5 n; _: X
- *****************************************************************/
, \0 X9 }+ R0 ? - double JulianDateAddMinute(double jd, int minute)* B9 q% Y1 j/ ~
- {* u; X1 M1 s) r' t, p% J# P3 _
- jd += minute / 1440.0;6 u# }1 j/ N' h- g/ Y4 G( S* S
- & b4 j: m8 z/ j5 g6 o$ T2 D
- return jd;
( v$ @ Y: a+ M) F# _ - }& E* O% i: { m$ N" r2 i; ~
& a: Z% t" \# ~, H- z9 R# G' \- /****************************************************************: ^: t) R* \- E1 {0 b' N
- * Function: JulianDateAddSecond
: r3 t; I) L, K& T s( m+ b9 C - * Description: Julian date add second.
8 l( e4 }0 [, E' L" \# U9 e0 h0 ] - * Input: jd: Julian date.
* G# w& j) t" t( P - * second: The number of second to add.4 d. |5 v& u+ K( `2 F8 r
- * Output:1 g; G& w. `) C2 }
- * Return: Julian date.% h3 C' ]6 U8 }- Z
- *****************************************************************/$ R% n4 b( y! P$ E% x" m
- double JulianDateAddSecond(double jd, int second)
9 }& v2 ]0 C8 @( G- z5 g" \ - {
8 L# G6 ?0 P0 p" k - jd += second / 86400.0;
$ Q. W( g: s( H - 3 ?' c# {* v5 R# \8 j
- return jd;4 P& X6 r# O, d0 S6 k( e" m6 \
- }2 e. e) |2 ]: }% f0 u7 k
# e9 m, q! s4 b+ h+ z( F- /****************************************************************$ D0 i, Y5 [, ]6 Q. f7 W( t
- * Function: JulianDateToGregorianCalendarDate6 x" r6 j5 d0 H% y: O9 r8 X8 c
- * Description: Julian date to gregorian calendar date.
9 x; D3 k$ o2 \ - * Input: jd: Julian date.. z9 C d8 @) z: V) \ _0 W6 {8 {
- * Output:
5 U' _* `9 G2 W - * Return: Gregorian calendar date.& G" ~& J( P: R8 o5 {. t5 O& {
- *****************************************************************/
1 I0 _, B) z1 V9 o3 Y$ b; t) g - DateTime JulianDateToGregorianCalendarDate(double jd)
V, ]' U5 A. \5 R - {+ B; ~0 q& g" ~/ U
- int y = 4716;5 I) e6 ^; G" L0 l4 O3 L n# y
- int j = 1401;
9 d, t; K) P$ S: J! o% g- |$ R - int m = 2;" q! A1 b( p5 v( y5 y- a2 R
- int n = 12;2 u* u' Q5 t4 U+ G% {) x# t: C
- int r = 4;* q% @& ^4 g) G$ t1 c4 e5 Y
- int p = 1461;
+ L" h/ L8 F, N6 z+ } - int v = 3;# F6 t" t9 z5 ?3 Q0 f0 H
- int u = 5;, p% Y8 o, |/ [% e4 m/ l( T, T$ w: n) w
- int s = 153;
/ I% _9 |& E: M. D( u6 H/ p - int w = 2;9 _5 m* v p4 O. K
- int b = 274277;4 J6 z+ c. U! ]: @8 ?% q
- int c = -38;
$ v i& \+ R& h$ r8 [& K( i) T - , y" d6 A7 _' D: h
- int jdn = (int)(jd + 0.5);
; u* f; N; O9 n3 [" J: e0 C - int f = jdn + j + (((4 * jdn + b) / 146097) * 3) / 4 + c;
/ Y1 |8 v- a" q( W, @ - int e = r * f + v;
% n$ k/ A3 b2 L; J; N( o - int g = (e % p) / r;/ n" |2 J- i( B8 h* f
- int h = u * g + w;
9 I4 n+ g8 f; a9 S/ ~
" J! n& x! ^' [. ~- DateTime time = {0};
5 G' z. a2 [ [: z, u" _: X - ' Q0 [- H" _6 |" c
- time.day = (h % s) / u + 1;
) J _" V/ c& s9 I' o5 l - time.month = (h / s + m) % n + 1;- y6 h3 c# P" V& I( a
- time.year = e / p - y + (n + m - time.month) / n;" [- g- I! ~/ C! Z. z
- time.hour = (int)((jd + 0.5 - jdn) * 86400.5) / 3600;8 |+ |2 k& D+ O5 T+ w9 q. |! o& z
- time.minute = (int)((jd + 0.5 - jdn) * 86400.5 - time.hour * 3600) / 60;7 _9 |" ]% B$ o! r% ]
- time.second = (int)((jd + 0.5 - jdn) * 86400.5 - time.hour * 3600 - time.minute * 60);
: c! c0 h7 k" k - 0 U6 `6 P6 g; H5 e" @# Y" `1 E l
- return time;
, U% W! o N0 N: K- K4 `% G - }
8 F( N; P; x% |1 C/ x6 @: q
0 `2 f! `- A& M: B- /****************************************************************
" N* {; M2 p+ D6 S9 j0 u5 y3 o9 g - * Function: JulianDateToGpsWeekSecond
1 w- x0 [" I# Y* y% p - * Description: Julian date to gps week and second.5 ?; _ g$ o* J* P( i3 l
- * Input: jd: Julian date.
- G2 P! V2 l, C( R0 ] - * Output:2 i# X3 V( v1 o: Y( J
- * Return: Gps week and second.
" _" U& u L2 j( l6 `' R$ E2 c9 q - *****************************************************************/
; b) r: q9 D! N! g$ | - GpsWeekSecond JulianDateToGpsWeekSecond(double jd)" x3 L0 N4 o) V6 @# b% v
- {1 b% q8 ?% I l) X
- GpsWeekSecond time = {0};* y. T% E1 U; s% l
- DateTime date = JulianDateToGregorianCalendarDate(jd);" M) U2 {3 X6 B' N4 V1 M7 W& F2 N
- * e7 _2 {0 z0 s& E) ^
- time.week = (int)(jd - 2444244.5) / 7;
( g( e% y" t; ?4 t* i - time.second = ((int)(jd - 2444244.5) - time.week * 7) * 86400 + date.hour * 3600 + date.minute * 60 + date.second;2 e: O$ m" {: b4 ~$ h' b: p& K
! H" f5 O: Z0 {6 {. `0 y3 L- return time;/ \) J) R% n( O( a
- }
0 ^, w7 A F0 _+ | - * [& c" i& d. }0 U$ N5 [* G
- /****************************************************************
/ L# v. n6 S a2 z" ~: ^ - * Function: JulianDateToModifiedJulianDate
& y5 G3 b8 Y K' T+ E2 }9 M$ Z - * Description: Julian date to modified julian date.
5 p( g6 x! F+ m; w7 i3 j - * Input: jd: Julian date.
2 N: {1 Q% M9 A- @% @ - * Output:
# k: p7 ? I2 V+ _0 O - * Return: Modified julian date.
& @# Y- G4 A' e% f' J - *****************************************************************/ y" K, ^, m# n1 Z
- double JulianDateToModifiedJulianDate(double jd)
7 \" D- C2 g8 b9 o5 O; E - {6 A% z2 k$ w: f1 \8 L4 F
- double mjd = jd - 2400000.5;: W- U1 F! y' h0 D% O+ S' X. X
- J0 I" a* e0 P2 J1 G) x9 w: Y- return mjd;* k4 V( C; X2 x0 d. g4 C& }
- }- Z. o, h" w0 ^- D
! ^; B7 G$ a ?/ o H* q- /****************************************************************2 c$ ^+ M. P8 _" O! ^
- * Function: ModifiedJulianDateAddYear$ z1 W; d5 p5 G
- * Description: Modified julian date add year.
. |- A: G7 L6 A2 w% V6 o: c. i - * Input: mjd: Modified julian date.
6 U+ s+ }; z+ w; v8 ] - * year: The number of year to add.: x& S. K* V8 f2 {9 _
- * Output:
( z3 u. J0 M, D; w/ U6 w - * Return: Modified julian date.0 ?0 T4 ^7 R. j. Z M
- *****************************************************************/0 Q/ P- F. I! G" c
- double ModifiedJulianDateAddYear(double mjd, int year)# ?: a7 C5 c; A# r% b. b
- {# ^0 _' N8 O: j3 b- P
- DateTime date = ModifiedJulianDateToGregorianCalendarDate(mjd);
" F# E: K4 R. I1 n0 j( \" G; v/ N& R
! k% o- A' @, I6 d7 g8 X) p- date = GregorianCalendarDateAddYear(date, year);' z) e% h* ~- i% M4 N) H* @* {: ?
9 J/ y- {: R- \- return GregorianCalendarDateToModifiedJulianDate(date);
! k. y- i/ T( q: \/ @9 Q - }9 ]7 f9 X; P% W2 k# T/ b. r
- ' R7 D) O! H: n7 s O# m
- /****************************************************************
m9 G) V: q. _ - * Function: ModifiedJulianDateAddMonth
8 s8 H8 I$ M0 X# A! q; H) }7 Y - * Description: Modified julian date add month.( U& h& V* k) ]. ? H# o
- * Input: mjd: Modified julian date.) f$ D. U" D( v. p* W
- * month: The number of month to add.
. q9 ~5 Y- T" w& Q, d9 @% N( j$ R0 z - * Output:
& E. f: F( ~1 n& y: N - * Return: Modified julian date.
1 r& p$ t, V! I/ |. H - *****************************************************************/
9 Q1 M+ |# g" G! ]+ [ - double ModifiedJulianDateAddMonth(double mjd, int month)
: j5 z8 F9 R# M - {, y8 C0 C$ P- `3 `5 A
- DateTime date = ModifiedJulianDateToGregorianCalendarDate(mjd);
$ _/ D) J' I! i* I - 9 U1 ~4 Y5 D. G
- date = GregorianCalendarDateAddMonth(date, month);7 y% x; V5 P* N: [# N l
* X. R$ o/ }) y" i- return GregorianCalendarDateToModifiedJulianDate(date);) c, l/ _! { N$ j$ j/ L& E
- }& F$ b! e; N" @7 ~: K
& J! H8 e {6 i9 ~. y1 e: I- /****************************************************************
& t% j4 I* _8 s; U - * Function: ModifiedJulianDateAddWeek
9 z: M' f* Q" n' ^" u - * Description: Modified julian date add week.1 l- N' [/ ?5 K3 \$ M2 b4 P
- * Input: mjd: Modified julian date.
2 i& ~" U! P$ k x: T. y - * week: The number of week to add.
2 z8 x: x) ~7 l. V) M. s - * Output:; t5 z2 E# b$ g! g' y( {
- * Return: Modified julian date.
O; r! E+ e% x9 {0 s- x& A - *****************************************************************/ J" y0 e1 N% f" Z6 b0 [4 u
- double ModifiedJulianDateAddWeek(double mjd, int week)- t* b, [0 i% [: Z' ?
- {$ t' u+ P# L2 j7 v% F7 W d
- mjd += week * 7.0;
# W4 B5 j) G9 |% V7 M2 p5 m - 2 v: W1 @5 y3 _1 Q
- return mjd;; x2 m( |2 X2 l Z4 W) R) k, ^
- }4 x0 K- F: \0 e/ b
- ; s0 R# O0 L& X4 g
- /****************************************************************
7 y4 J) `& T( r) h( w - * Function: ModifiedJulianDateAddDay9 Z3 r4 N& V0 M
- * Description: Modified julian date add day.
2 F5 _: h; N" e: ] \ - * Input: mjd: Modified julian date.
! p- G7 S& h9 t* \1 C$ e: I - * day: The number of day to add.6 n3 v% H4 t2 S- d" o4 t
- * Output:' D- O' }) _3 p2 A' k, {0 z
- * Return: Modified julian date.
g3 ~6 T2 o+ t6 @ - *****************************************************************/
: X" N4 u3 T: S: G# P9 T - double ModifiedJulianDateAddDay(double mjd, int day)
+ l0 h" z" w1 ?6 z) T - {& b4 R# Z! @8 s) W
- mjd += day;/ [* Z1 m1 v/ _# Y* j$ ]. E
- , K# L9 I$ h, V7 L+ a( T. L
- return mjd;
: U+ t3 o: s: q7 x P - }- m1 ]! o4 O* v: d |' n% F! R& y$ l
5 Y3 S: k$ F2 I- /****************************************************************
6 w/ V X. M( V5 V, E, V& N - * Function: ModifiedJulianDateAddHour
4 s$ \0 f x. O- g @$ z - * Description: Modified julian date add hour.- w6 |' V* d; l& J! E' d1 e
- * Input: mjd: Modified julian date.
# F0 d) C4 E1 ?5 v - * hour: The number of hour to add.
, F' q( i) M* Z8 u; V* _$ F1 @. V - * Output:
8 b3 P& u" ]4 ?: P# b/ w% v r - * Return: Modified julian date.
2 `, ]/ K4 x2 h& J7 g - *****************************************************************/
+ m/ A" e* M3 S- @0 I - double ModifiedJulianDateAddHour(double mjd, int hour)
# c2 {- L1 O! K3 y( k/ p) T6 L - {
$ Z8 `" w6 w* J5 Z, R/ m - mjd += hour / 24.0;
3 A1 t7 @: S4 o; ~: e - 2 K) Q3 Q: o' K' N8 k" o2 E% \
- return mjd;2 D; }! I6 T$ A0 O* b% k
- }- w3 M3 I; G" K8 `' e# E
- 1 }/ x5 Q, ^5 p+ A; W" R
- /****************************************************************! S! @& a- v {% V
- * Function: ModifiedJulianDateAddMinute* |6 A+ C) E- v; c% c" N
- * Description: Modified julian date add minute.7 S8 H# C6 X' u) _0 U
- * Input: mjd: Modified julian date.
1 X+ Q# x! I" g% ]) ]. u5 B! R, j - * minute: The number of minute to add.0 e5 J' g& g1 ]0 R& @" F0 Y, `1 r
- * Output:( j' w% P& m7 `; d$ @& ]
- * Return: Modified julian date.
) s: b: O2 V% Z6 d* U& o1 J" W - *****************************************************************/
. e; o: u& g0 r w, \. [ - double ModifiedJulianDateAddMinute(double mjd, int minute)
* n( d2 B2 {- Z( W2 I; s - {
% O; ~9 A3 G: }% v2 c+ V; U8 J - mjd += minute / 1440.0;; l+ V' N8 l' x
. ?" c) W: P) Y c' ]- return mjd;7 A8 }1 w9 z! `. Z8 d; b
- }- P4 W: l; _; K
- ! ]2 i& ?7 Y% j. w9 `: j+ e# U
- /****************************************************************; K7 F9 {7 ~/ f3 v$ u6 C2 m
- * Function: ModifiedJulianDateAddSecond+ ]/ {* u8 G z/ L9 c
- * Description: Modified julian date add second.
. w# P' f' i8 W4 |! y5 f - * Input: mjd: Modified julian date.+ ?3 G$ `% W7 ~$ {2 ~) i
- * second: The number of second to add.
5 c4 D7 `* E' j+ \9 R: z, y! | - * Output:
# g" ^+ Z: D% p3 Q - * Return: Modified julian date.( x8 z" a0 U9 |* K5 j0 y
- *****************************************************************/
Y+ i ^+ l% N. [% m - double ModifiedJulianDateAddSecond(double mjd, int second)3 Q$ w! ]- k( o. y1 g
- {2 y" S3 y% p* ^* H, @; `
- mjd += second / 86400.0; _% ?0 l( p& ]! ]" {# R+ A
( A& x7 o% ^' Z) T$ J8 ^6 X- return mjd;# \: Z( S, S% z4 q: ^1 a3 l
- }: V1 _" L$ A0 D
- : x2 F2 r' I" k8 |
- /****************************************************************
i! t3 t, w @* j! M - * Function: ModifiedJulianDateToGregorianCalendarDate
; f4 x. v! ^; g! o# \) ~, t7 F - * Description: Modified julian date to gregorian calendar date., U( k- z/ W6 n1 v+ v
- * Input: mjd: Modified julian date.% z3 b/ C R& z) f
- * Output:
* M2 q/ n: N) {, H; C' t# o - * Return: Gregorian calendar date.
+ c& H4 E! _- |8 v% C - *****************************************************************/) [5 A% N' U7 v3 ^
- DateTime ModifiedJulianDateToGregorianCalendarDate(double mjd)* a8 [+ O' y+ B9 Z
- {: V8 J' e V1 L+ M0 n% N
- return JulianDateToGregorianCalendarDate(mjd + 2400000.5);, |% z1 Z9 z) E8 Y+ Q* ~
- }: l1 E) Q: h2 |) z
5 P; z3 n3 E x6 T- r s( B- /****************************************************************& \- _% Z7 q& O6 B
- * Function: ModifiedJulianDateToGpsWeekSecond
1 C9 r6 d5 O, j1 m - * Description: Modified julian date to gps week and second.0 {( j5 b7 b9 h8 L; ?
- * Input: mjd: Modified julian date.
, `' V% C6 @) m2 F - * Output:
8 C5 {% u: O( n - * Return: Gps week and second.
4 q# k5 M# h6 B, i5 \ - *****************************************************************/
9 q6 d, h" y* D& \7 U! q - GpsWeekSecond ModifiedJulianDateToGpsWeekSecond(double mjd)- h8 o) L7 m# P8 t5 r, e. W9 s
- {' \9 f; Y& b) g1 H
- return JulianDateToGpsWeekSecond(mjd + 2400000.5);5 K$ T+ ?3 w# i1 _0 O( j" q
- }
) x; z1 B0 z% P - ( E! x& [5 P& o& v
- /****************************************************************
6 O% |' |, F- ~+ o/ o7 x8 X - * Function: ModifiedJulianDateToJulianDate5 T% K" H2 Y" i, ?7 J0 g# r
- * Description: Modified julian date to julian date., a( c' U' }% W. J- w% [
- * Input: mjd: Modified julian date.& D' F U$ f, H3 L" L( u! s& F
- * Output:8 `% G0 p: O% _; I: E" \
- * Return: Julian date.6 m: D; B) b+ k, p+ q0 E: o
- *****************************************************************/
& P- p4 L3 [. s! K1 k- {/ { - double ModifiedJulianDateToJulianDate(double mjd)9 V! v/ F. H! I9 `. U( G
- {
# k/ Y6 `2 E" F - double jd = mjd + 2400000.5;
7 ~. i1 q* g# [, x2 g* a - + M. F& [1 u0 o# K" v* H5 P
- return jd;% Y3 H9 o" z, P7 V6 E
- }
# [6 t( A: ]! ~$ k9 I
复制代码 / D3 l0 w9 A0 s3 c$ ~% M
main.c文件
$ i! d! q2 s. J7 u: t7 M- /****************************************************************& e# p* \ y# l6 E" T9 D( z9 ~
- * Copyright (C) 2017, XinLi, all right reserved.! M) T$ k5 I; O+ t5 x
- * File name: main.c: {6 G- D) [6 _! g
- * Date: 2017.10.17
. n* u! v1 O! M: U7 B - * Description: GPS, UTC and local time displays.
" I2 S# Z- I: U* B% j - *****************************************************************/
+ T. I1 h' U: }5 ^8 i, v' }
( u9 L8 {) a1 E* E- /****************************************************************4 i8 Z) P2 X3 U6 m( N9 A( j
- * Header include: K3 K* \9 y Q: v' E- |0 O, \, @
- *****************************************************************/( C0 m! m' g$ B+ ~* E( I X
- #include "DateTime.h" c% }0 u& r: ?2 C$ x! o% g
- #include <stdint.h>
H" s; l$ V; l+ H4 Y6 s# l# E - #include <stdio.h>( q& e& C U* m( v2 x
- #include <time.h>9 d! O j1 ~! a7 j
- #include <windows.h>& ~; R+ h7 ?1 }& `8 Q
- - d6 s+ }, m% _5 |$ t; B& q
- /****************************************************************
* p$ H b/ B" A6 C - * Global variables
7 F3 {( Y; G8 T - *****************************************************************/2 I }$ ^; {1 _5 O6 G2 V- f
- 2 m; ]" R1 C2 M& {8 @# H
) X: J; g. K7 P& t$ Q# ?( ~! k4 V7 R8 k- /****************************************************************
* K/ n1 Y- T* [9 u' S4 I! `1 k1 D - * Function declaration8 g+ z: z* X- c7 B. s k7 t9 L
- *****************************************************************/3 q2 |5 s- x+ `0 m4 \6 q. T- g
- static void gotoxy(int x, int y);. H4 [( `3 w% m( K* L( E
8 z" y" C1 O0 _; _+ O$ b- /****************************************************************
3 ]( X( a/ e9 A: T - * Function definition
' B! _$ s* @: ?) T6 | - *****************************************************************/
@( u8 q) @6 B6 w" s - & E4 l4 h: _9 o3 f0 f3 b: H: i
- /****************************************************************% [- \1 A! b7 Y
- * Function: main
% B5 O1 i) y: Q; ^ - * Description: Program entry. I- h7 w7 [4 n) P0 N8 J( `7 w' @9 g! @
- * Input:
+ _ i6 m. B. l, i/ X - * Output:
" H3 e" }+ W9 U% J - * Return:& P1 Q% Z" }& [8 d7 \
- *****************************************************************/
! L" T4 x9 L. H7 @ - int main(void)0 ]$ z' x8 `/ r1 M2 D
- {8 S, d, e/ k1 Y( z# }
- for(;;)
9 V) G' h/ @$ U; i+ h+ ^7 ^ - {. m1 B0 P4 ~& i, W* v# Q* G
- time_t times = 0;
: T0 s2 ~) c) g - double mjd = 0.0;+ J8 c0 ~8 x5 l3 O
- DateTime utctime = {.year = 1970, .month = 1, .day = 1, .hour = 0, .minute = 0, .second = 0};; p! U* Z/ i$ s8 L& ]
- DateTime localtime = {.year = 1970, .month = 1, .day = 1, .hour = 8, .minute = 0, .second = 0};
. B3 t6 \7 d% P- o: i2 @ - DateTime gpstime = {.year = 1970, .month = 1, .day = 1, .hour = 0, .minute = 0, .second = 0};" G& A; \( E4 D w0 P! m
- GpsWeekSecond gpstimews = {0};
3 L% W R! U2 x5 [5 z0 A - & \! m% B1 s/ W& @" P3 L
- time(×);
4 T8 d2 A" G/ j4 z - ) C/ {' T7 s2 s# x/ m; e
- if(times > INT32_MAX)7 Q1 L4 b! H8 B
- {
6 B/ L0 w( A4 z) B: |* N - utctime = GregorianCalendarDateAddSecond(utctime, INT32_MAX);- Y; a# Y5 K7 a3 w
- utctime = GregorianCalendarDateAddSecond(utctime, (int)(times - INT32_MAX));
3 M, e$ \. G6 u6 O Z - }: q! @: C; C4 E8 Z" K$ e
- else* F+ d& q2 q% o
- {* T6 z7 R3 {" v& J* i2 S) s+ V
- utctime = GregorianCalendarDateAddSecond(utctime, (int)times);
0 V+ B% _+ i+ p% ?$ `: n - }
+ L1 ^3 S% } ^" T - ( k1 w0 u n- Z5 _% a' j5 Q7 d
- mjd = GregorianCalendarDateToModifiedJulianDate(utctime);
2 [- b2 N6 X/ d9 N, y( x - localtime = GregorianCalendarDateAddHour(utctime, 8);
. l1 B& A) i/ g# Z: x - gpstime = GregorianCalendarDateAddSecond(utctime, 18);5 s; Q7 V- r& o3 \
- gpstimews = GregorianCalendarDateToGpsWeekSecond(gpstime);' p0 \8 E/ ^" H2 s$ O
- / t R! l3 d2 j) b6 A
- gotoxy(0, 0);5 C6 H Z, n, M% d' j- R4 z/ M
; f! f6 h- f( f% _6 b. g9 e- printf("Local | %d-%.2d-%.2d %.2d:%.2d:%.2d | timezone UTC+8\n",
o! q$ x" Q+ h1 m( E, w" o - localtime.year, localtime.month, localtime.day,
# r6 s2 o: K) p- C$ y# G- j* m - localtime.hour, localtime.minute, localtime.second);2 k# z2 r% W6 D
4 J1 ^( X9 z6 W) g& e7 A- printf("UTC | %d-%.2d-%.2d %.2d:%.2d:%.2d | MJD %.5f\n",2 I' `6 D' o$ S: T7 ? L' V
- utctime.year, utctime.month, utctime.day,
: u3 h! G/ o2 N$ t/ M Z( s7 f v) ^ - utctime.hour, utctime.minute, utctime.second,/ J% Z" _0 P% {3 H, L* |! ~ S) @
- mjd);* a* y! L8 H& t6 r
0 y+ u3 s# ?1 N- printf("GPS | %d-%.2d-%.2d %.2d:%.2d:%.2d | week %d %d s\n",
$ G- Z/ O0 {( y9 q8 A - gpstime.year, gpstime.month, gpstime.day,# |' z* X9 k' p" k6 q! B7 A. R
- gpstime.hour, gpstime.minute, gpstime.second,
1 S8 P. Q0 a. c+ Y3 h% n, M0 F - gpstimews.week, gpstimews.second);
4 o( |" `2 s. N D: p
, m: M8 m9 M! u$ s2 A- Sleep(100);. Z: I3 _4 n: e* @ \/ n
- }
P5 } h! s$ G - }
% E+ [" d% k7 q2 }1 x( m
, W+ W1 C6 J1 y9 p- /****************************************************************# t: r% I; u. B4 Y: z
- * Function: gotoxy! p6 p @. F5 Z" z s
- * Description: Move the cursor to the specified position on the text screen.
$ Q7 ?5 y8 W/ @. h j# y - * Input: x: X axis coordinates.
7 f6 ^( O. M; z3 Y2 L4 U) c3 C - * y: Y axis coordinates.
% K2 ]* E) J) Q, {# q7 R - * Output:
( p& f) E9 M- G; ?8 M - * Return:
' X: T+ r) b$ l* b2 y - *****************************************************************/
8 }9 ?( O6 o8 f7 c - static void gotoxy(int x, int y)
7 X* }+ s) S+ t0 L" e6 r - {/ O \) k7 ]) T6 g3 r
- COORD pos = {x, y};
1 p: Y6 t4 F5 k1 i" Q6 ? - HANDLE hOut = GetStdHandle(STD_OUTPUT_HANDLE);
0 w7 [: V2 F u - SetConsoleCursorPosition(hOut, pos);& w7 d D q p5 e1 d
- }( r- [$ d* R7 C9 T: r
复制代码 , T# d4 i: f9 Q, R2 F
3,运行效果& u1 T# Y) f* y
& J8 W+ d$ {( G8 s5 M( a3 Z
) D" g: [ y" I6 Q1 q) U
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