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GPS，UTC和本地时间的显示器
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转载来源：GPS，UTC和本地时间的显示器# j% N$ x* x S) e& R
5 _, ?; G* U6 V: K, QGitHub仓库：http://github.com/XinLiGitHub/GpsUtcAndLocalTime% F0 m4 M8 N3 ]9 p2 }8 ~
PS：博文不再更新，后续更新会在GitHub仓库进行。
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. s% V6 Z/ I4 w/ p Z 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)。( g: ?2 X/ q3 n* [: s) b! w
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1，开发环境5 s7 _$ h* {5 |) T
1，操作系统：Windows 10 专业版& I& \+ n3 P5 `
2，IDE：Visual Studio 2015 专业版
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8 X# d8 ?* l! y! j+ H0 I0 M2，程序源码, q6 p, A9 J# ^
DateTime.h文件
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. O1 U5 n2 ^3 ?0 J' \- /****************************************************************
; P: q2 q H' j! G' x& N6 v7 u - * Copyright (C) 2017, XinLi, all right reserved.7 J& G/ g6 h/ w! J
- * File name: DateTime.h
" d) K* S8 O2 m5 k4 z1 S - * Date: 2017.10.17
8 Y8 k! w. R" F7 r, F, W) y - * Description: Date and time module header file.) H8 z7 j2 C, u. O" D [$ G n6 m4 f7 ^
- *****************************************************************/
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; D. b) b% f; ]5 o) x. U- #ifndef __DATETIME_H
`4 ^6 ^ n5 L8 J - #define __DATETIME_H8 k( k- s) a2 ~9 B3 \' a- x
* V0 i, U5 w4 a( N; K; ]- /****************************************************************# u {+ @7 r& [
- * Header include
4 g0 w* @' E( N6 }5 A/ a - *****************************************************************/7 s3 y1 T+ `. e
, }- L; F3 R' ]; A' v$ H8 {8 z
, U" r4 }2 T3 C5 a- /****************************************************************2 W+ W" s$ ?: E/ L. q, |4 U$ V+ A! E
- * Macro definition2 F" Q6 C0 X3 |; U, u! `1 b. y1 ~
- *****************************************************************/
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+ h% C5 f4 y$ h* o8 }* Z- Y
/ {+ ]9 @9 D9 t, p- /****************************************************************
: y: a# Y7 @: P1 k - * Type definition; S2 S( R6 X; M" h E8 C9 J
- *****************************************************************/) s2 Q! L) A2 C6 j
7 s& U5 r- M4 J0 j8 ]- : K8 ^5 _7 F+ O1 K( p
- /****************************************************************
6 Y( ?$ s# ~5 J! S% R& b& V - * Structure definition7 w* _) v; J* N7 t$ m
- *****************************************************************/
2 A7 o. l" @" o K- t/ G$ Y - typedef struct
. }$ Y6 Y# W6 R$ h- g - {
, O$ n* D% ]. O- Y7 N7 [ - int year;
! X* c. g8 \% I# | - int month;& [( t; A- M# C6 r3 i; p! Y8 K
- int day;9 w* V/ {. }% C, K
- int hour;
: A0 L+ C1 s: d2 d1 R+ A) J' { - int minute;
' u2 s0 v& t+ M7 X+ Y3 Q - int second;
8 p. \. Y7 I x8 C - }DateTime;
( {, X9 S! v% m
+ L5 \8 q( x- X. P0 C" Q- typedef struct
* S; ] @. r b: ?! R- i5 W - {
% F1 {1 ~& g# ?5 N - int week;
0 W y7 ]: i2 W8 Q3 f* _ - int second;
9 r" S: Y: C9 S- E - }GpsWeekSecond;- e" ]1 L: M3 v. U9 ^0 s* f0 ^7 W( r
6 P3 l, c: ]2 n. E: {- u
7 E6 d! p9 `) K- a! B0 e# u% e- #ifdef __cplusplus' L: l* }8 |* r4 i, Q
- extern "C" {
6 [6 W3 \3 |5 U5 m* ^ - #endif /* __cplusplus */
, E/ { i. x( L: N J5 @+ y( z7 p - . R8 e' A8 z6 @
- /****************************************************************! k2 j0 r' S6 r) w& @: _
- * Variable declaration% I# \# r2 q% h n# M
- *****************************************************************/4 K3 ?: s- {8 k# R1 R
- 9 M" e2 R4 r# f. A* e9 j
- ( o3 w0 v5 h4 L7 E- B+ x, k2 u
- /****************************************************************
: N; f1 v* k u: W" z$ B - * Function declaration5 n; U$ Y& }- j8 Q% `
- *****************************************************************/
% k. o$ _) q( t i0 u - DateTime GregorianCalendarDateAddYear(DateTime time, int year);
! l2 c" a- B2 @ J2 i9 A; s - DateTime GregorianCalendarDateAddMonth(DateTime time, int month);6 A. Y& [$ T" [7 m# [. U" \9 t
- DateTime GregorianCalendarDateAddWeek(DateTime time, int week);$ [9 w- e/ ?" Q, j3 w+ d
- DateTime GregorianCalendarDateAddDay(DateTime time, int day);
/ }' S4 `2 \8 m! O) o9 Z; F: Z& Z - DateTime GregorianCalendarDateAddHour(DateTime time, int hour);
6 h- f; \/ y4 y5 h# D8 P& ]: T - DateTime GregorianCalendarDateAddMinute(DateTime time, int minute);
5 d0 O% Y1 h( v y - DateTime GregorianCalendarDateAddSecond(DateTime time, int second);* y! M9 f3 r6 J
- GpsWeekSecond GregorianCalendarDateToGpsWeekSecond(DateTime time);# d: ^4 M, Q# N$ Z1 @1 h5 n
- double GregorianCalendarDateToJulianDate(DateTime time);. P4 y: f& r' Z, K
- double GregorianCalendarDateToModifiedJulianDate(DateTime time);
" l# [/ r7 _. U - GpsWeekSecond GpsWeekSecondAddYear(GpsWeekSecond time, int year);3 Y& z- D, c* ^9 T
- GpsWeekSecond GpsWeekSecondAddMonth(GpsWeekSecond time, int month);
, u/ K! i6 L- K - GpsWeekSecond GpsWeekSecondAddWeek(GpsWeekSecond time, int week);5 D1 R9 ?: N6 m5 x3 y
- GpsWeekSecond GpsWeekSecondAddDay(GpsWeekSecond time, int day);, W: {: j, S* D9 d
- GpsWeekSecond GpsWeekSecondAddHour(GpsWeekSecond time, int hour);
/ H' o: R5 y5 a* D) `- S - GpsWeekSecond GpsWeekSecondAddMinute(GpsWeekSecond time, int minute);
4 E* r& f7 I5 @2 K! [ - GpsWeekSecond GpsWeekSecondAddSecond(GpsWeekSecond time, int second);. {1 X c- o6 y" r2 U" V# z, Y4 a1 s1 E
- DateTime GpsWeekSecondToGregorianCalendarDate(GpsWeekSecond time);
$ ^! f# T5 v j, F+ h* T - double GpsWeekSecondToJulianDate(GpsWeekSecond time);" n2 D' o, c6 V- K* \
- double GpsWeekSecondToModifiedJulianDate(GpsWeekSecond time);
* K0 W% o! u8 O' B0 j9 q+ Y) Y$ f - double JulianDateAddYear(double jd, int year);9 A9 K8 ^) t: @1 ]5 f' m
- double JulianDateAddMonth(double jd, int month);/ W4 L3 U5 N+ V5 e8 ^$ F) x
- double JulianDateAddWeek(double jd, int week);
: m) J+ h# u5 D - double JulianDateAddDay(double jd, int day);. T! u q9 l$ O6 @1 o
- double JulianDateAddHour(double jd, int hour);
% d. y7 X0 H0 |+ z. z# y$ P - double JulianDateAddMinute(double jd, int minute);" g( y, C u* x: @6 \
- double JulianDateAddSecond(double jd, int second);
$ J+ z4 U" S. [2 m& N5 M- T8 { - DateTime JulianDateToGregorianCalendarDate(double jd);
4 w, U: {* b4 g4 P- ?* ?2 v- G' ~ - GpsWeekSecond JulianDateToGpsWeekSecond(double jd);
! B" e" X; x6 s$ v7 h/ W; o+ d - double JulianDateToModifiedJulianDate(double jd);
. ?5 H/ c/ w, a- ~" o% w. Z1 ^ - double ModifiedJulianDateAddYear(double mjd, int year);
. P4 d( f' D" O - double ModifiedJulianDateAddMonth(double mjd, int month);6 e2 ^9 a0 B9 E. l; L
- double ModifiedJulianDateAddWeek(double mjd, int week);, S& K! m( l6 j r f* d
- double ModifiedJulianDateAddDay(double mjd, int day);/ S% c- Q7 E- |* r! v' [( v
- double ModifiedJulianDateAddHour(double mjd, int hour);3 ?& |' m7 J7 R) x! A
- double ModifiedJulianDateAddMinute(double mjd, int minute);
( G. b, Q- a e* a4 a1 c* s - double ModifiedJulianDateAddSecond(double mjd, int second);4 F H K2 E* a4 K
- DateTime ModifiedJulianDateToGregorianCalendarDate(double mjd);
- R* O8 l7 @5 i' R3 [ - GpsWeekSecond ModifiedJulianDateToGpsWeekSecond(double mjd);. Y8 f) S$ b6 t
- double ModifiedJulianDateToJulianDate(double mjd);
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- #ifdef __cplusplus
. D: `. i0 c' S" Y% }# H: L - }% v A4 C0 J( }
- #endif /* __cplusplus */
, `* U' |: h$ x+ N6 p0 a- K! C8 U - ' Q% h% T. K* W/ M# o
- #endif /* __DATETIME_H */2 Z! \' w) @* }7 z" h6 V% F! p
H2 y! ~$ p# g. p6 ]) w7 d* l DateTime.c文件. A. \1 w' [9 x5 h6 i5 D
- /****************************************************************
9 F7 K/ n5 c, l - * Copyright (C) 2017, XinLi, all right reserved.
% L! O7 j1 x9 I. J - * File name: DateTime.c
. q+ O" f# o7 \4 J9 v; i G - * Date: 2017.10.17" L) s6 ]7 B, Q
- * Description: Date and time module source file.
1 O3 B% a$ ^6 B1 M, k - *****************************************************************/: K3 Z& A5 m$ r9 j
- ( a) S# C Y7 q: t$ k
- /****************************************************************
: x/ L# M- U t* v! l4 L r5 d2 h6 u/ \ - * Header include5 D" D. n4 ?; e# \* k; H
- *****************************************************************/
6 D; ?9 j2 H6 v, {! T& c5 P5 C - #include "DateTime.h"
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! P* I H! F1 R- /****************************************************************
, i8 O& h3 E0 C; v+ f - * Global variables3 p' A0 ~/ x( J) S) z4 l
- *****************************************************************/
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9 o; f% F4 r. d/ E$ G* _
( R# ^* }( A+ S. |, e2 B- /****************************************************************& H3 E6 _- _% s% D2 a- {6 ~
- * Function declaration8 V# f, ~% u/ n4 k
- *****************************************************************/6 @. o0 I$ t3 p& n& P
- " [2 x: D; J. G i. ^/ h7 B# X! S
- # D2 Q$ J D8 T) e4 s: k K
- /****************************************************************
/ [3 n% y4 i- M5 a4 s2 e9 V - * Function definition( r! X: h2 \/ ? b9 Q3 R& `
- *****************************************************************/
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2 ]- s; }0 c3 H0 G/ S- /****************************************************************
& b3 q& P6 {! j3 M - * Function: GregorianCalendarDateAddYear
( w5 J3 S C( e b) P& e$ G" v: I - * Description: Gregorian calendar date add year.: r3 z' k" R- P7 t. X1 s6 z
- * Input: time: Gregorian calendar date., }( o: r9 H4 c# y6 R# f
- * year: The number of year to add., {4 [) G) j) M$ K
- * Output:
& R! L( Z, V8 D8 A2 i - * Return: Gregorian calendar date.4 V. i$ n* `" W5 }
- *****************************************************************/
! q- j9 _& D, Z: R7 ~, d - DateTime GregorianCalendarDateAddYear(DateTime time, int year)
2 z* \( y4 B' w$ m' {0 x" U6 E Z - {
5 u9 \3 V2 u: p4 | ^2 |: l" g - time.year += year;. d! q) }0 i+ q1 \# I
* e6 K) ~( M/ A6 E; ]; u; V- if(time.month == 2)7 I5 E7 I2 q" V- Z
- {7 ~) o3 k% F6 Q( M
- int mday = 0;' q& Q" a. } u
- `, ^1 n2 v$ ?3 Q- if((((time.year % 4) == 0) && ((time.year % 100) != 0)) || ((time.year % 400) == 0))3 S) E' X7 H, K8 ?
- {
5 |4 I0 n# c' \; `8 b" O3 O7 Q - mday = 29;
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7 X: _4 w1 R8 _7 S. e( J - else
$ ~# C8 H5 h+ J& k - {% Y) C4 K$ y' D- m y+ }# H
- mday = 28;
( Q' t( P0 C7 ?1 M" d0 X - }
# Q o/ [6 _2 i - - d) ^. t: x. f# `8 h' \2 R
- if(time.day > mday)
) T! ^' f* P8 Q. ^$ X - {
0 T- e( q" E N - time.month += 1;: f3 N) a w) ?8 [* h- J
- time.day -= mday;
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! Y" Z4 E+ g+ q# H3 t8 K% M/ z - }, X4 E" k* w' _# A* K' \- J
- 3 |2 A- N- Q" l3 b$ j
- return time;
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# S; H( [& C4 K, a6 b" S; Z
: a, k7 L: z1 W. \- /****************************************************************
1 Z+ T u! c" y9 @) l2 ?/ k - * Function: GregorianCalendarDateAddMonth6 T5 K9 N9 X' \1 s, u# V
- * Description: Gregorian calendar date add month.1 Y5 H$ _) i8 p; r8 T0 q
- * Input: time: Gregorian calendar date.
/ i @0 y0 _ u; g/ C - * month: The number of month to add.* b8 ~* O" s0 ?: g* z. \
- * Output:
9 b& g$ [) ~: T( G& d - * Return: Gregorian calendar date.
& ^0 P, V( L N8 b6 t) {% |5 Y# G - *****************************************************************/+ I% X# c1 j, C2 S9 M
- DateTime GregorianCalendarDateAddMonth(DateTime time, int month)
2 j3 N- }: l9 L1 J" _ - {
0 n- \- N% m; `) y1 x3 x$ U - time.year += month / 12;1 z7 M- B: l6 i# r& p7 ~
- time.month += month % 12;: k6 ~6 h- H+ G7 L
- & T0 s. h' p* G9 R( a* E! @
- if(time.month > 12)# ?7 h* W* O/ b8 d6 E
- {/ ]7 H& A6 ?! h7 N. x# Q
- time.year += 1;
) @8 S, S/ m2 g; M; W' x - time.month -= 12;! ?- k( v0 `; Z$ e5 T0 g% y( f
- }
9 Y8 D; E8 E' V; m$ B
`! a( a9 q. ?& b- int mday = 0;
5 c4 [) b8 D( ^& h/ ~* L
/ k( ]5 W7 j6 s9 A- if((time.month == 1) || (time.month == 3) || (time.month == 5) || (time.month == 7) ||
9 t: K& _6 ~; b, }$ F - (time.month == 8) || (time.month == 10) || (time.month == 12))+ t- E* g& g+ M1 A5 C. A
- {
4 `5 A ~- V; e. b) X - mday = 31;
. O2 N( l1 U, o. p4 ? - }4 e) j, I/ s4 ~! |
- else if((time.month == 4) || (time.month == 6) || (time.month == 9) || (time.month == 11))2 W0 r1 A2 p" h5 ~- ~6 l2 I9 l
- {
1 T9 [* D( N" P! |8 a# E - mday = 30;
' G+ ~1 m2 K+ t5 U9 ~3 a' J - }9 h- L& r k+ q( N
- else
3 A3 a! R w/ ]& Y, p! } - {
/ J6 i; {( `; |) T+ [- V' X - if((((time.year % 4) == 0) && ((time.year % 100) != 0)) || ((time.year % 400) == 0))
7 X1 w, g' {3 h% P, s% V2 P - {
6 C! v2 ^2 f, H! ^- P - mday = 29;; Q+ o) y! E4 q0 e* q
- }+ j' r; v3 t* O& a S
- else
) @$ C1 O$ [$ D h8 i. f( N* y' P - {$ ~2 M( M$ i' O. m( O" {+ L& y
- mday = 28;0 A; H2 Z& A) Y) W3 a7 b
- }
$ Y3 T* ^, {, i - }
& |- Z- x; }! g8 j, `( Z( { - ! N. P/ B9 R: M% \8 o0 I6 [
- if(time.day > mday)
' z' N1 \% ?! l2 f5 {0 \ - {6 l, l7 |' F- T" E
- time.month += 1;( W+ X5 o- ]# v2 Q0 n! f0 k
- time.day -= mday;/ G4 p* [8 T, }: F6 v1 r
- * E1 T F) o1 m ]0 a) N- W
- if(time.month > 12)
6 H- p( V' l3 A, Y - {8 C! m' s. A% y' M* H9 B0 B
- time.year += 1;/ U' @& |9 Q3 c; S* f
- time.month -= 12;
( J( v1 W5 O' P& G8 ^3 S, X. ~ - }
% v" [& u1 \ P5 p& v, @ - }
: W! q: a& ~+ ^8 s8 n ]0 n
( u" Z+ d( p- p8 @5 z- return time;4 F" C h8 C) {5 C. P4 b
- }
7 u3 A$ e, l/ k
- L( H/ L: h: O6 D0 z$ @$ n- /****************************************************************$ E i8 F0 C' F; B
- * Function: GregorianCalendarDateAddWeek
7 O, D4 Z/ y+ B _- W9 j! b5 u - * Description: Gregorian calendar date add week.
( t$ J: u1 N! b0 o - * Input: time: Gregorian calendar date.% @- H. v1 H5 U5 W3 J
- * week: The number of week to add." n: G: Y3 h9 S3 A$ s
- * Output:9 @5 }8 I- @1 E m& F
- * Return: Gregorian calendar date.0 [& H9 Q& `9 Y
- *****************************************************************/
; g0 S% x- s7 x5 r0 |7 P& I - DateTime GregorianCalendarDateAddWeek(DateTime time, int week)5 D4 ^* v3 T8 W3 N" f$ Y7 C% ~
- {
6 [$ D( }" R& W* o! l6 Q3 \" z - double jd = GregorianCalendarDateToJulianDate(time) + week * 7.0;' j' n D9 M+ ]# u2 [
) ]9 W( V" K5 p5 q- return JulianDateToGregorianCalendarDate(jd);
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- 8 {- j- s x, k! m, L
- /****************************************************************( X. f) }/ R I2 ]
- * Function: GregorianCalendarDateAddDay
# F2 j4 E% ]! U' i# p - * Description: Gregorian calendar date add day.* ]4 F4 e: W( `2 x+ y
- * Input: time: Gregorian calendar date.
/ N3 n# W' N9 J! {) a+ `9 f+ h - * day: The number of day to add.
# R$ k) t9 G7 g7 H$ s9 T# g - * Output:( Z5 |! D0 R' r& y2 I! N
- * Return: Gregorian calendar date.! T: d" j$ _( E; K
- *****************************************************************/$ e9 Y5 ]3 [$ A: K7 {7 q
- DateTime GregorianCalendarDateAddDay(DateTime time, int day)
- J$ p% Z& P+ e/ R - {! _. [' N% g' J/ j) e6 f: W
- double jd = GregorianCalendarDateToJulianDate(time) + day;
2 x, s6 y: `' ~( ^1 |( O+ P - . k$ ?/ L* X; E
- return JulianDateToGregorianCalendarDate(jd);2 B- j8 L; N# @6 y/ Z) L
- }2 ?6 M2 z+ M9 t) q6 b" n3 P h
( V9 \" k0 e6 W* M- /****************************************************************% k6 f7 x) R% N9 D7 \, a. p& ~
- * Function: GregorianCalendarDateAddHour, X8 E5 P- D/ c& k. W* ?
- * Description: Gregorian calendar date add hour.
5 X* {, s- ~. k - * Input: time: Gregorian calendar date. c( U( V5 b* B8 D& r- o
- * hour: The number of hour to add.
6 N- f% I }# L) n" j% R - * Output:7 n+ W8 T8 S9 v* y& h4 s
- * Return: Gregorian calendar date.0 Q2 P# K* p. d5 \$ K. h. p& `* L
- *****************************************************************/
! g3 }/ j' B6 F - DateTime GregorianCalendarDateAddHour(DateTime time, int hour)
0 l& k: x6 M+ k - {
, t N h3 s: B& Y1 S- y - time.hour += hour;
2 i5 ^; J. S' Z, r" j0 D* a
+ |& K. {( A' q' K# _- double jd = GregorianCalendarDateToJulianDate(time);
/ w b1 b# ^7 D+ _8 G2 o
& F# H" j- A. c" _, h- return JulianDateToGregorianCalendarDate(jd);
- ^ E9 I) V) p; j# K& K6 o - }6 J. i2 i& O L, z1 Q
& @" w: j% }3 M6 x& O- /****************************************************************2 ~: k( c- a% S' A2 t
- * Function: GregorianCalendarDateAddMinute
- b" D/ m; M1 I( L) `; Z - * Description: Gregorian calendar date add minute. s, D* Y. W7 Z! a% M
- * Input: time: Gregorian calendar date.
% S, L: \! J8 w& c9 t7 n - * minute: The number of minute to add.3 F) L0 R+ Y8 i% L) `( p) ]
- * Output:" \( x! ?' p5 h$ l: n* h# |
- * Return: Gregorian calendar date.
$ ]' J# J! n4 @! s" U - *****************************************************************/( I5 P" m9 E) p5 P
- DateTime GregorianCalendarDateAddMinute(DateTime time, int minute)
+ E* P0 V- v3 `; y9 }' ?, a, A - {
* p! Z; l$ X% U- R/ S - time.minute += minute;
* \9 q* W7 J; W( T
( b( G; @/ r% } l4 k# n6 x- double jd = GregorianCalendarDateToJulianDate(time);- ]* f# |7 }& D" j$ ^6 w
- 9 x8 n/ ^! k- s2 F8 h
- return JulianDateToGregorianCalendarDate(jd);
. N5 m# t7 p$ ? - }
* e- h- a) G. h3 a3 b& q4 P* v - $ c/ C7 B. E- t$ W9 b4 ?
- /****************************************************************; Q$ U3 M& k1 o5 @' p0 u6 B
- * Function: GregorianCalendarDateAddSecond
! |' y' N6 H6 O3 v3 `9 q - * Description: Gregorian calendar date add second.$ a4 |$ i- G" i0 A$ ^: A7 s6 t
- * Input: time: Gregorian calendar date.7 G' v9 a; O" ~: {6 {/ s
- * second: The number of seconds to add." ^8 b2 h6 u# u2 C% O0 {
- * Output:
+ N2 z! G. a, m4 Q - * Return: Gregorian calendar date.
* x A0 {0 ^9 a' {+ ?" G8 R - *****************************************************************/
! h3 F- @7 `# |% d3 i3 h& S - DateTime GregorianCalendarDateAddSecond(DateTime time, int second)
/ B9 n: ^/ E5 o& |4 x2 S) L5 q - {
" }% F8 F0 P& w - time.second += second;
2 k3 Q1 l$ X7 W
* o% L% P1 t8 ` W# X- double jd = GregorianCalendarDateToJulianDate(time);) |. T+ d: D% Z" T
- : e# f# p: E, H D/ J
- return JulianDateToGregorianCalendarDate(jd);
2 }5 H/ f! s1 f8 ?' K - }* @" t r( b8 C
3 Q% ?$ @: m+ f5 \- /****************************************************************
6 X& `+ N# s* z. t- r - * Function: GregorianCalendarDateToGpsWeekSecond
( |) a) Y8 d# c0 H - * Description: Gregorian calendar date to gps week and second.$ a+ c# t# X3 t
- * Input: time: Gregorian calendar date.
! I- u: @! x' a. B. N# _+ F - * Output:
' R' Y, A$ d6 y/ {3 l+ x6 v - * Return: Gps week and second.
$ J3 ?9 j' Y) L& ^. I5 b8 K - *****************************************************************/9 p6 _0 ?. h3 ~! X7 c# A' J
- GpsWeekSecond GregorianCalendarDateToGpsWeekSecond(DateTime time)0 g4 {6 b) y: K3 ?
- {: a0 @. Z# Z! y* Z" \" g# y
- double jd = GregorianCalendarDateToJulianDate(time);
/ P, x" L# e" i0 N; v' J$ D - # }. b$ c2 Z x8 O& _7 v
- return JulianDateToGpsWeekSecond(jd); t2 f! p3 }2 F; { m7 q
- }- S$ \( S) @4 h8 P
- 9 @6 m+ W1 V- U% Z- T- z
- /****************************************************************" V4 x" ~8 S5 a, ^& S! ]0 n
- * Function: GregorianCalendarDateToJulianDate
+ v3 ^# E+ P8 @/ r - * Description: Gregorian calendar date to julian date.
0 y z0 `" c0 a+ w; l7 z: K - * Input: time: Gregorian calendar date.% X: P; ]5 e8 n2 }5 r4 `
- * Output:6 A, r9 V& D+ X: X& O, E
- * Return: Julian date.% g0 ]! @- T9 z0 q) K5 q1 z) ^. S
- *****************************************************************/
# |* Z! F) p$ Q, b/ B( H# Z - double GregorianCalendarDateToJulianDate(DateTime time)
" b: y5 u+ K0 f4 h" p - {
- ~% W8 M+ J Q- m - int jdn = (1461 * (time.year + 4800 + (time.month - 14) / 12)) / 4
; G6 v* U5 P" v* Y& J - + (367 * (time.month - 2 - 12 * ((time.month - 14) / 12))) / 124 D7 A5 M4 ]% n, u" l
- - (3 * ((time.year + 4900 + (time.month - 14) / 12) / 100)) / 4
& M' e: b! Z( o: w - + time.day - 32075;
' z% C: H. _' o' U- @$ I1 q! N - * L, u1 N* n2 |: n
- double jd = jdn + ((time.hour - 12) * 3600.0 + time.minute * 60.0 + time.second) / 86400.0;
- Z0 a2 A3 C( t: l0 x5 C( @0 U" [
& Q4 I+ Q" Q4 {1 i& H: I- return jd;/ O0 ?7 J8 N7 f$ e c' \
- }
$ z" _' ]5 B' k7 ^$ H) X3 y
4 O/ g. x/ ~; P/ c; m* Q- /****************************************************************
4 b& @4 @- s1 y - * Function: GregorianCalendarDateToModifiedJulianDate
4 a/ @/ p# ]) ? - * Description: Gregorian calendar date to modified julian date.. s/ y) m# ?" O
- * Input: time: Gregorian calendar date.' j; Q9 T3 U8 \' ?5 }/ A, @
- * Output:
8 ]" F! P% f2 `( q% }" ^# @ - * Return: Modified julian date.
, h# i) q0 f6 t- l) i: n - *****************************************************************/! ^+ h' b) C& V2 A+ M
- double GregorianCalendarDateToModifiedJulianDate(DateTime time)% ^4 M5 Z1 k7 f
- {
1 D7 ?6 p+ X' S - return GregorianCalendarDateToJulianDate(time) - 2400000.5;
0 P3 D8 c3 `5 a. R# e! o - }
3 ?: M& k& A1 s" L( Q; N - + y, e+ `- z" |7 X: T. P7 h
- /****************************************************************3 i* r* f6 U9 \4 L
- * Function: GpsWeekSecondAddYear( p+ B9 Z; T C( p; v8 s' I
- * Description: Gps week and second add year.
$ f) `4 e9 K& [# R6 s) i0 I - * Input: time: Gps week and second.
N' C9 z& a/ C- d4 U& ?0 K - * year: The number of year to add.9 P. o) V# C7 e( H2 I/ X
- * Output:7 e' a! T. x ^/ W" W( B. d: n
- * Return: Gps week and second.' ?- O0 S+ {9 q. v2 o0 ]) U+ p
- *****************************************************************/
% H3 H' _0 a+ i - GpsWeekSecond GpsWeekSecondAddYear(GpsWeekSecond time, int year)
. j5 a8 q. f+ u; q9 q: Y - {1 G6 A9 j$ Z8 r% d
- DateTime date = GpsWeekSecondToGregorianCalendarDate(time);
, L% |+ w1 r ^7 `* K2 V6 P0 l# I - % `9 p; M2 E, p4 b) n- f
- date = GregorianCalendarDateAddYear(date, year);6 \7 N2 Q' m8 I/ Y; W9 K
" B# T% q1 I3 _& ^* B- I- return GregorianCalendarDateToGpsWeekSecond(date);
% h l) Z2 k) o - }$ E0 O0 E1 _& M( b
- : b- C# F) K# e7 g1 I+ V
- /****************************************************************
2 q9 F1 B3 m) `% D6 j! B! b2 j) p - * Function: GpsWeekSecondAddMonth
. ^# F: N; K- C: T; l - * Description: Gps week and second add month., ] `, q5 Q7 E) J1 s8 N
- * Input: time: Gps week and second.% ?! [( B) C* c
- * month: The number of month to add.( G7 G$ K' ]7 y% d- u" A
- * Output:
1 l2 w2 w% R. E' c - * Return: Gps week and second.
2 L4 S8 K, b& t/ M# {: X - *****************************************************************/% O9 I6 b r" l2 r) c" [
- GpsWeekSecond GpsWeekSecondAddMonth(GpsWeekSecond time, int month)% B4 a4 ~( j3 I. }- Y! ^
- {
- N8 G3 ^' c6 f6 @. }7 y( j - DateTime date = GpsWeekSecondToGregorianCalendarDate(time);
( e$ y( E N# c. u) g
' d4 R; R2 o* K5 x- date = GregorianCalendarDateAddMonth(date, month);# Y3 R" u3 X) Z
& I. G9 f" x0 C/ q4 I( f3 B- return GregorianCalendarDateToGpsWeekSecond(date);
' `8 Z* G& x9 K6 R, d! P$ y - }' j! D% @# C/ v9 b
' Z. h4 I2 R1 G2 K0 f' F9 Z9 P! k; X4 T1 d- /****************************************************************. b5 u- Y, I+ D6 G4 _8 U! |
- * Function: GpsWeekSecondAddWeek) _: F& ?6 i+ }$ Q! y1 J6 D# F4 X
- * Description: Gps week and second add week.
/ ~' n: L! ?# X: J2 h+ U - * Input: time: Gps week and second.
$ m% e7 G8 w4 b) m5 S! l1 L - * week: The number of week to add.0 e& ]# b3 ^0 N6 K3 [ @ W* V+ }
- * Output:
z: I! t C! B% c8 s" e- ?3 r - * Return: Gps week and second.
% Z# ^5 Z# @1 K8 S* k4 S3 ? - *****************************************************************/
: Z9 m6 Q5 ?* x9 K$ E' j" k! L; w - GpsWeekSecond GpsWeekSecondAddWeek(GpsWeekSecond time, int week)" J8 o* i8 ]* N/ k- M* n: a3 M
- {) S# K, F$ d8 L% i' p; d3 q$ o
- time.week += week;) n8 B7 N4 h8 F- S( w
- ( n3 C* c( Z* `/ h/ l" P+ t; N3 ?
- return time;
! ], h( E$ j3 o* n: ^ - }8 K% G2 E' z; o# [" Z
+ f( J- k) m `, D3 j- /****************************************************************
0 z8 ^! G' d+ e - * Function: GpsWeekSecondAddDay
3 N+ M+ M) y( h0 ~) `1 {" h - * Description: Gps week and second add day.$ \/ k$ a0 I' g1 ^. b. b
- * Input: time: Gps week and second.
W: V p9 Y& `1 v. ` - * day: The number of day to add.
1 H$ N9 w* n3 H e2 j: \1 x; k - * Output:
W4 b8 D$ N5 ^: m) B - * Return: Gps week and second.9 ^& q$ U" Q( x7 o8 d" Z- f0 \
- *****************************************************************/
+ i% }9 K Q7 _, H" ~ - GpsWeekSecond GpsWeekSecondAddDay(GpsWeekSecond time, int day)3 L, Q4 R" Z) k+ S! N
- {+ M3 {9 S$ i k6 _& R$ ?' q$ O
- time.week += day / 7;1 g5 p. O# F. Y# [: y: @
- time.second += day % 7 * 86400;
F- C/ w- P+ Y0 ^$ K - , l/ ?9 k S% N3 i* S0 T3 a
- if(time.second > 604799)5 o% J# L$ c% t: G1 g5 H* o+ B: F V, h
- {& D' p( D- a9 V) M0 v/ v
- time.week += 1;+ K2 S+ S1 k' A5 D' V; m8 a! \( b
- time.second -= 604800;: P. z# V( ^% [& j4 v2 d
- }
2 _' f! i9 z$ v* f: r: [- Q' @
" H: v0 H; c: N. Y) x0 @- return time;" ]% _6 X7 z& x# H/ Q# m" t/ a
- }/ d" X& ?9 b. e' G8 M
2 e7 t2 y3 l1 H. p- /****************************************************************# k- o& Z& y# S9 r) ^
- * Function: GpsWeekSecondAddHour
) C! w1 L) ^# `6 ~# W, d' U! y1 J - * Description: Gps week and second add hour.& X) }/ k3 I5 y6 m8 u# A% v
- * Input: time: Gps week and second.- z. w9 d7 k) g
- * hour: The number of hour to add.
+ @/ R2 t. x( F - * Output:
. i7 w: h' N2 ~& g1 n3 p \ - * Return: Gps week and second.
8 z0 |0 s5 I# i- u" o - *****************************************************************/% z* W- ~ j% z L5 m
- GpsWeekSecond GpsWeekSecondAddHour(GpsWeekSecond time, int hour)7 s/ ^3 Y/ U% j( e2 C
- {* U. K& _; ^% y$ E p& ?2 L" N
- time.week += hour / 168;
/ L* N$ n5 [6 _. f - time.second += hour % 168 * 3600;: J) | r9 F2 m, C2 A
- `0 C! W9 P( d2 y: @7 j
- if(time.second > 604799): B9 F, n+ S/ _, }
- {. D$ Z, W' Y W( g+ V
- time.week += 1;
1 D) H. ~# ^5 j& F' u' ? - time.second -= 604800;* y6 P ~& z! g0 Q8 Q" H e
- }2 ~ ]1 K6 x, x' C1 c
-
# [1 u3 v7 w$ O9 K/ @% y" l& i - return time;
% i2 J! S% L: a; h4 C/ y- _6 ~1 Q* W' g - }7 J4 ]! ^$ Y5 ?
- ! M$ J. K; x3 U1 y4 W
- /****************************************************************8 s- f$ I: W" l U, Q1 z
- * Function: GpsWeekSecondAddMinute L" Y+ b! e# B3 C" M( g
- * Description: Gps week and second add minute.
) y) X% Y/ `/ b - * Input: time: Gps week and second.
! v) o+ L( {4 j) O$ c: u - * minute: The number of minute to add.! E% D" ^& i7 ]+ e7 Y" W" s
- * Output:# S( M9 o9 \. r3 ^2 o/ J! k
- * Return: Gps week and second.
) D3 ?5 h3 F d7 y - *****************************************************************/
+ D0 R1 o2 Z! A2 D3 I - GpsWeekSecond GpsWeekSecondAddMinute(GpsWeekSecond time, int minute)- Q+ L! a& A+ x* P" q; b& K
- {- L! Q& ?/ x3 e4 g. G& u5 ^7 H# S- o- I
- time.week += minute / 10080;/ Q# {- ~) p* P9 y- f
- time.second += minute % 10080 * 60;* V. t1 o4 h! @% `) ?4 Y9 O& @
- & Q+ Q( g$ n; y& D: a6 H, _
- if(time.second > 604799)$ ~- ?# K. O9 w9 `
- {
4 P" C% M, F$ @. C& m$ w - time.week += 1;
% C% C; C- Z$ ?- G - time.second -= 604800;
% T. a C3 x7 X% ]6 n7 z4 |0 l, ^3 j0 T - }
: f. }# a4 n/ O - ; Z# a3 _/ Q, E( y/ y; i
- return time;
# {9 w4 o5 t0 G5 f) F - }+ B G# {+ d1 g. `
- , v9 T6 M" h% _; a7 H
- /****************************************************************! Q( P# }) V P
- * Function: GpsWeekSecondAddSecond
) N; T- P8 h5 d ], Z - * Description: Gps week and second add second.2 @5 [2 x1 |9 d8 w: p
- * Input: time: Gps week and second.
* v, a* R) j3 E# ?& T+ l - * second: The number of second to add.
" x- A6 L4 L. j" \( g/ j - * Output:% Z3 B+ ^: U. ?3 C6 I1 {' n
- * Return: Gps week and second.& z. w9 p/ B8 x' ^+ F- c/ @4 t
- *****************************************************************/
3 e6 W: l4 Q# U/ u/ }8 j7 {& ?8 i6 N - GpsWeekSecond GpsWeekSecondAddSecond(GpsWeekSecond time, int second)
0 f; w* }, `; ?' c9 t, Q9 ?( s3 P - {& z9 c) N g; X3 m; ~; M2 ^0 `
- time.week += second / 604800;
# @% G# j- R2 k& z2 J - time.second += second % 604800;" T7 Z# O9 Z& Q
- . V0 z& w8 A" p
- if(time.second > 604799)
2 J. ^% y3 T, D& ?' l - {
8 p% O9 @; k: f8 n - time.week += 1;
* Z8 B& v! ^) |8 O - time.second -= 604800;. h/ `2 X% B+ J! g9 Y. j
- }
# M \7 I2 \4 v* V -
5 C- t* n' }7 p$ R. S6 h - return time;
+ A5 |. v/ a6 _2 A( i3 M; b - }
4 O& e& R3 x8 U+ G6 G* M0 \
) t7 e. M6 p) M3 T5 E+ s- /****************************************************************
" l9 L* i; E4 i2 C* p% d3 ?1 ]/ k - * Function: GpsWeekSecondToGregorianCalendarDate
, F; f; Q7 n8 c* J - * Description: Gps week and second to gregorian calendar date.* s8 a7 t; U' y7 M5 a* _2 ]
- * Input: time: Gps week and second.
, y5 Q- v) e- ` - * Output:
9 ~5 q7 z. w4 r5 q - * Return: Gregorian calendar date.
9 T* ?& o0 `8 G1 f - *****************************************************************/
: G. R q& |( M6 [" H' S - DateTime GpsWeekSecondToGregorianCalendarDate(GpsWeekSecond time)
! U9 D! y3 A" r - {
( P3 _( y, r. A: B; J9 s, H - double jd = GpsWeekSecondToJulianDate(time);
- m& p! I" W# m! T9 v0 I+ F! I, r - ' z+ S6 M# s( O& {- g/ Q
- return JulianDateToGregorianCalendarDate(jd);1 [" U8 q' e U5 C
- }" [( E+ z% h3 q: l+ c" m
- 7 I" t( M; r y3 S5 K$ ]% F2 D1 ?
- /****************************************************************
( x1 F+ `2 w- O0 d, [ - * Function: GpsWeekSecondToJulianDate
4 \8 _3 S0 `! H# j - * Description: Gps week and second to julian date.
* W9 g7 m0 v0 x1 P2 H7 |1 J1 P - * Input: time: Gps week and second.
( m- F1 l/ P- V+ p1 k2 e - * Output:
# }2 R+ Q) q1 M - * Return: Julian date.
, _' X% B8 ]# }2 V$ V( \ - *****************************************************************/
; @( [9 Z0 i/ _; Q8 f% ]- y9 D - double GpsWeekSecondToJulianDate(GpsWeekSecond time), c9 j9 `. B* Q
- {7 |) V. |2 x! j& k5 t1 C4 |- m
- double jd = 2444244.5 + time.week * 7.0 + time.second / 86400.0;, ?6 n' u6 @/ p5 q0 }% R% L8 i
- / |3 q$ ^ b3 Y% e* @3 @
- return jd;
9 j" W( }! v" f3 R S' ` - }
; X$ m7 v o, Z$ e$ L
$ K/ s2 o; p) `4 `- /****************************************************************- k, j. j! j! X! o# s: e' G( N
- * Function: GpsWeekSecondToModifiedJulianDate) `: g+ U$ X! ]7 {" q
- * Description: Gps week and second to modified julian date.) t4 P& P5 m! J$ ` g' @; f# u
- * Input: time: Gps week and second.
: E5 H1 I4 ~$ m) A2 L0 e/ \0 T8 e - * Output:" A: V: U& Q) m/ o/ T4 I
- * Return: Modified julian date.
: |) {% b* D' x; P# i9 [ - *****************************************************************/6 {, O( H/ o8 P* v9 i
- double GpsWeekSecondToModifiedJulianDate(GpsWeekSecond time)
7 } g" o5 e s4 c$ n" |5 M3 E; y - {2 v! U9 _8 w; q; |+ {
- return GpsWeekSecondToJulianDate(time) - 2400000.5;
# s2 l( ?' a% ?, X4 t - }
6 O+ s6 ~7 R, c6 E9 P/ E w! {1 N- u - 8 [3 G+ g) S( ~& w& o- T
- /****************************************************************
" |2 d2 _- s2 e+ ?# r, F. n - * Function: JulianDateAddYear
% H& l: K$ h# Z. a, Y) |0 @! ~ - * Description: Julian date add year.. d+ @* L% k( z; S
- * Input: jd: Julian date.8 y9 m6 P9 w: Y
- * year: The number of year to add.* _1 }' V( n& P8 n
- * Output:
6 }1 u! I1 ^$ a& L - * Return: Julian date.9 \2 x4 l# M, C! q' d
- *****************************************************************/
" z; ^6 y! ~. i& i$ l8 c. \ - double JulianDateAddYear(double jd, int year)7 t1 D& j# d3 C @: |3 L
- {; @2 R3 Q$ M3 k& X% S
- DateTime date = JulianDateToGregorianCalendarDate(jd);7 X& i6 x L$ F
- : q9 G" }! E0 O: V3 @/ b
- date = GregorianCalendarDateAddYear(date, year);
+ L$ j/ m" g0 x
! \% x) M3 _' _- return GregorianCalendarDateToJulianDate(date);, Q4 T ?5 G K! A! I+ [
- }
! Z) J& [9 ]0 q3 u9 Q
+ L; _: P2 k- G6 \* J- /****************************************************************
1 E9 P0 W# @ |+ j2 [2 x, Z7 p' L, B - * Function: JulianDateAddMonth5 l% K/ G3 c# b6 P3 z" w
- * Description: Julian date add month.4 C: s/ O! @% M0 o$ q
- * Input: jd: Julian date.' Z3 N$ U. Z3 m4 c7 }! O
- * month: The number of month to add.
9 D" Z6 I" X: O/ Z4 t - * Output:, F: F% q4 x$ |/ g. o% v
- * Return: Julian date.* Z6 [7 e @7 a# {
- *****************************************************************// C b, C, Y9 s
- double JulianDateAddMonth(double jd, int month)
$ X1 }" S& m8 G. h% X3 O - {
, T/ J7 X& ]* H- {6 X5 G- a. V - DateTime date = JulianDateToGregorianCalendarDate(jd);
6 @' y; D3 g) g# T. E8 H& |& y - 0 f ~; V8 t8 l6 }, ?
- date = GregorianCalendarDateAddMonth(date, month);: u3 t& w4 q. r8 ?: P
; V* w4 U% P1 {- return GregorianCalendarDateToJulianDate(date);9 `2 P" \& l9 P& g2 w# L
- }8 m& u9 k' d% I, x
- ( w% q; _2 T3 e- t* R
- /****************************************************************
$ ^) a: v( h$ Z* E! N) }5 X - * Function: JulianDateAddWeek
* [, p" R! R3 }; A) ` - * Description: Julian date add week.
3 f. x" C' K0 N. E" B - * Input: jd: Julian date.( i) G' T, j! }$ b$ \% k
- * week: The number of week to add.: G. n1 n/ F# t
- * Output:: J5 f* ~3 V$ F% M- s3 K2 V/ O
- * Return: Julian date., P" ]9 w; B: _( N6 e
- *****************************************************************/) |+ N2 u! e, K: a
- double JulianDateAddWeek(double jd, int week)
" S* P7 K* l/ D - {
# m/ ~- o" }7 e r* r# k - jd += week * 7.0;
% W" N0 T K3 u8 b
, X& }" m @9 P- return jd;
$ A" v: N$ x2 w- F) C - }+ `4 N' e& C) c# z4 Z! [
- 5 T+ ~# D6 J6 I. G' t3 }
- /****************************************************************3 r2 Z }1 S+ B; a+ j8 {& ?7 E
- * Function: JulianDateAddDay( r6 y1 t' b% z; ?$ R# m+ B: u
- * Description: Julian date add day.; m8 [. W) m( d
- * Input: jd: Julian date.
/ z+ @" B% b& U7 W* t, B, O9 } - * day: The number of day to add.) u1 v! J7 j. o& L) b8 ~5 ]) a
- * Output:
( a8 l7 \# N/ B, D6 h& M( k1 d - * Return: Julian date.8 [: p7 {* k9 E: A- C& @5 L, `
- *****************************************************************/" k/ M! w' U. ^2 n; y
- double JulianDateAddDay(double jd, int day)+ f( w7 [" p/ f% o1 \+ ?) b# y
- {+ ~* L1 I! z3 V0 w9 Q& P
- jd += day;; O1 k' {6 D1 W0 n' G1 p
- " f, O, H+ p) f( f6 p
- return jd;
) e" J% @ x" \" M - }
5 T t$ m* U0 g$ Y8 [8 o3 `
0 ^% o: J G! m) L6 U- /****************************************************************: m; G ]. m! U& B
- * Function: JulianDateAddHour5 K: e2 N# V0 u( J, F7 h# U
- * Description: Julian date add hour.
/ o# k1 @1 k& r7 D* Z4 Y7 a - * Input: jd: Julian date.
6 n/ H3 Q! l. D: u- H1 Y, b; a" R8 `- T - * hour: The number of hour to add.
0 b5 _( Z: F" G/ l - * Output:
4 Z+ ^. V; l8 i6 B - * Return: Julian date.
/ U& q8 `3 J0 t; a9 g/ | - *****************************************************************/4 H. o0 X! M: r0 [
- double JulianDateAddHour(double jd, int hour)
( o. h6 f. P* G+ S - {1 w, N( `& B# t2 E
- jd += hour / 24.0;
+ v) U( `$ d2 m2 s1 g9 }0 n
- p. I, Z! X) K+ j X7 s9 O- return jd;
! x/ Y. H2 v, m: z - }/ [; t2 l! l; C( }1 Z* ]: a; S
- . Z1 [6 o, ?( E Q- w3 Z7 {
- /****************************************************************
# F1 O- v$ L# C2 e g - * Function: JulianDateAddMinute
3 p9 o g/ k9 t4 m |& b6 w - * Description: Julian date add minute.
9 T. k, ]6 l/ V: P6 f - * Input: jd: Julian date.
( E; {% q& O* z2 C - * minute: The number of minute to add.
1 M" h6 i8 f( ?: {. j1 x; A - * Output:
! w- P& w. C U+ X - * Return: Julian date.
8 Q- C- s: d+ `) @/ B& B - *****************************************************************/6 b/ |5 [! n$ G6 V- A' I# ]
- double JulianDateAddMinute(double jd, int minute)! L) G* X3 V/ G1 M! {5 b4 m0 G4 ^
- {
/ b% e. o2 Z3 J0 E' V% q - jd += minute / 1440.0;% ~+ r$ u" w, q O# f8 L. B: a
- ' n% N$ n! Z G
- return jd;
, y& C" F; O; S - }
6 ?$ F: V- g1 g3 A, K7 C - 4 t3 Y; l& R/ h: U8 H3 E l( q
- /****************************************************************7 d2 \* {7 j* }9 V0 T# d
- * Function: JulianDateAddSecond4 [$ [" t% K: b6 J
- * Description: Julian date add second.
J2 a( U9 G- r - * Input: jd: Julian date.
. W: U& ~9 A* e2 g. v* w - * second: The number of second to add.; S+ g; S6 K5 z; b8 `
- * Output:( k: N7 Y5 A2 Q9 }& V0 g7 l6 V
- * Return: Julian date.$ j8 x, N4 u4 H
- *****************************************************************/
- M& ]$ F/ z2 Q. z: A - double JulianDateAddSecond(double jd, int second)6 q" V6 C0 A. S- b: B. w
- {
' ]" a# o. P, Z, q, p7 G - jd += second / 86400.0;
% x" l0 C" N' y) G. Q - ( {" v/ P v/ q+ q% W
- return jd;- |) \5 a' z* i+ `, _% Y H* L2 v
- }9 n) z4 l% y) q2 K& }5 c8 ]
+ o# K( a7 |; F- /****************************************************************
$ d0 v- |$ u/ @( K; m- D' |4 d/ ] - * Function: JulianDateToGregorianCalendarDate
, v. f0 l+ A4 r1 I% F$ m - * Description: Julian date to gregorian calendar date.
# V0 M8 n! z: u# a) q - * Input: jd: Julian date. e' l8 e" B' K4 M9 d4 C) V! V
- * Output:
6 |' Q. Z1 Q8 i, T1 [/ B' x3 S - * Return: Gregorian calendar date.& _* n3 |" B; D. M0 c$ @$ W! T
- *****************************************************************/0 D" ]% z _$ v, H: V
- DateTime JulianDateToGregorianCalendarDate(double jd)! J& H" T5 E. ?9 t; x$ b( p3 n
- {
5 U* i# X S- S" K) P- e6 N4 Z - int y = 4716;8 y# w- G9 _: l" F* y
- int j = 1401;
& n a$ M$ }; C2 ] - int m = 2;
4 \# i4 ]3 j4 B( c/ k - int n = 12; o" ]4 k6 e4 m6 X) _
- int r = 4;5 ^/ b/ x3 o. Z3 p {
- int p = 1461;
7 A W, h5 g7 f, }, I5 s - int v = 3;. I' ?, A3 l* T/ g- W6 i
- int u = 5;* j0 O$ G+ C. \! [5 d2 d, h
- int s = 153;
" { m( L9 \" B1 |. X - int w = 2;
6 b* k+ x& g, ^% `: W4 X8 d# V/ R. p - int b = 274277;
& P6 T# w( o0 N b9 B! X3 [ - int c = -38;* x5 F, O7 z8 x& o7 l
/ E3 Z! ]# N4 F$ ]0 C- int jdn = (int)(jd + 0.5);
* j! T7 E6 E, T: c) j; j1 o( L - int f = jdn + j + (((4 * jdn + b) / 146097) * 3) / 4 + c;6 e/ S% z- M" A' G% `
- int e = r * f + v;8 j* M E# _0 n1 ]' i9 M
- int g = (e % p) / r;! k% t3 S- \5 j4 n3 ^6 z
- int h = u * g + w;
& p1 r7 }1 i+ L4 ~1 U; o; a, H - 5 K8 E: E Q7 p4 s
- DateTime time = {0};
# p, f7 z6 b5 W' C - 2 `- W! W" k1 x
- time.day = (h % s) / u + 1;% d' N7 S: q# ]9 Y4 W+ r2 ~
- time.month = (h / s + m) % n + 1;0 W- {$ c4 ~3 K" ]8 X- f
- time.year = e / p - y + (n + m - time.month) / n;
) Z3 T* |8 s" O6 R( g - time.hour = (int)((jd + 0.5 - jdn) * 86400.5) / 3600;5 M1 ?4 O0 q# W* [4 a+ L% T6 l
- time.minute = (int)((jd + 0.5 - jdn) * 86400.5 - time.hour * 3600) / 60;' w" D5 M/ l% m
- time.second = (int)((jd + 0.5 - jdn) * 86400.5 - time.hour * 3600 - time.minute * 60);' B' A& f9 B7 t& R" G
$ B7 Q- o1 Q- }- return time;
6 P! m3 ~/ w' z( D - }
+ e2 M6 t( ?$ W; ~; P5 W0 c - $ F) l! F3 Z+ C* s
- /****************************************************************& w7 y, m4 D$ P3 X
- * Function: JulianDateToGpsWeekSecond
' V6 x- M0 G: r/ W" m - * Description: Julian date to gps week and second.
6 D1 P* a/ T) z - * Input: jd: Julian date.6 h7 |$ i) S4 w0 e; h
- * Output:9 T$ ^ E1 c$ \
- * Return: Gps week and second. V O0 P) ^; m; f& S/ P9 p
- *****************************************************************/3 W' ^4 D" I1 u# e" S
- GpsWeekSecond JulianDateToGpsWeekSecond(double jd)
( p& J7 Q" ?4 ~ ]% p - {& A \5 M( J' ]" ^* T* F0 j! T
- GpsWeekSecond time = {0};* _) V1 J! d. C5 M+ c/ I
- DateTime date = JulianDateToGregorianCalendarDate(jd);2 C0 a4 j7 z x) g, F; D! I
- f' f' G8 M+ m- ^
- time.week = (int)(jd - 2444244.5) / 7;
3 d7 t5 y; E3 m& a6 W) [ - time.second = ((int)(jd - 2444244.5) - time.week * 7) * 86400 + date.hour * 3600 + date.minute * 60 + date.second;
, o p5 U7 A& I; |3 O6 I
; B! _' f( m* q$ y3 w0 M- return time;
! |+ \4 T3 X# {/ r7 q# L* b - }
# o! z" b L3 }4 }2 r - * k$ J" I% s& y
- /****************************************************************' A8 Z$ s! ~4 v( i7 O! F* `
- * Function: JulianDateToModifiedJulianDate
5 u# h1 ~' r% w - * Description: Julian date to modified julian date./ K* |8 J# D5 @7 |% M* ~
- * Input: jd: Julian date.) S, J n1 e2 U4 E4 X
- * Output:) z [' f- G8 ?' d4 A* j
- * Return: Modified julian date.
; Q) V- E) \# S! a6 l - *****************************************************************/
4 f. [5 b: o7 ^3 Z, E - double JulianDateToModifiedJulianDate(double jd)+ A; p0 K" q+ S. g/ }& i' t
- { Z! }) R$ K; @2 O% s2 Z* B/ p1 _8 ~
- double mjd = jd - 2400000.5;# v! f, N8 K6 {% L+ Q5 ]( h
& c' P7 r: I# ~& d- return mjd;2 Q( b- ]5 h. O* R
- }
9 F! } p$ R( W5 A7 y0 m% B
2 H3 B2 F0 r( Y1 ?6 T- /****************************************************************
7 {* y* S1 q( h4 n/ ], M: d) C- a - * Function: ModifiedJulianDateAddYear
R2 K3 N0 e# I* \ - * Description: Modified julian date add year., }2 t$ p7 m# y
- * Input: mjd: Modified julian date.
7 q1 r& l7 k$ D2 ?% h: { - * year: The number of year to add.9 J3 k) @+ g2 z3 k
- * Output:
7 ~) z* A$ A, q - * Return: Modified julian date.
: Y2 ?% S2 ~" u0 x0 E - *****************************************************************/3 L# Y2 k6 g6 A: I2 T! ^- {1 E
- double ModifiedJulianDateAddYear(double mjd, int year); ]8 w8 e! \6 u5 [4 U& i0 ]7 a
- {
/ O! P- Y3 R2 o0 a7 k - DateTime date = ModifiedJulianDateToGregorianCalendarDate(mjd);
+ Y6 p8 K% t# H. b+ |2 G! D - " m* u. H! ^% X! \0 O
- date = GregorianCalendarDateAddYear(date, year);
2 v7 A0 s/ | |+ o# Z! ?
% ^5 n! C* G; r: e4 V" @& k" |- return GregorianCalendarDateToModifiedJulianDate(date);, o7 a/ R. {; w2 f8 V+ W% w
- }
+ j( ^. l( q' O- C/ G - 6 V) I7 J, B0 H; b2 p4 W
- /****************************************************************
8 n& k. e1 f8 p; n1 h P$ P; N8 |/ ]. R - * Function: ModifiedJulianDateAddMonth
' M9 E% V0 r+ ~8 Q# L: U: w' N2 w/ w - * Description: Modified julian date add month.: z1 X5 d9 n/ D% |
- * Input: mjd: Modified julian date.) }3 f* m, G5 O7 E3 c/ H& J U
- * month: The number of month to add.
8 B( D. K; A/ c) F/ a0 ` z - * Output:# y* P9 c- K- B: r" E
- * Return: Modified julian date.' n$ i# x1 o( i: ?
- *****************************************************************/
/ |+ _1 Y+ E# o# Q2 ] G( S8 Z9 Z - double ModifiedJulianDateAddMonth(double mjd, int month)
% t& |, \. [+ z9 K4 Z) y8 B - {
! O1 Z% `: b* B - DateTime date = ModifiedJulianDateToGregorianCalendarDate(mjd);% [# L6 ~, p# I+ a: L2 `' q" O
- ! Q+ i; f$ b& y2 z1 ?
- date = GregorianCalendarDateAddMonth(date, month);
& Z% H2 D( }' d) |5 L" q
- {; e. r% u" L( D1 w( t- return GregorianCalendarDateToModifiedJulianDate(date);
) ?/ a' }4 J3 ~ - }
/ P, u6 R4 D& C2 o3 Y9 { - / V* L: i$ B2 v- Z# I# t) y( S
- /****************************************************************" U: y" N2 \. i
- * Function: ModifiedJulianDateAddWeek
5 C" g/ c/ F% Z7 r: O - * Description: Modified julian date add week.
+ a* X* e- H' u: x! G6 \ - * Input: mjd: Modified julian date.
& f' E8 L1 U* Y. x+ m) N+ S - * week: The number of week to add.$ e1 W( H* w F6 z7 J# G+ K0 F
- * Output:6 m9 r- o' K: O7 U: _# N
- * Return: Modified julian date.
" l" C; }* p2 R6 K" P - *****************************************************************/7 @5 h' x$ x2 D
- double ModifiedJulianDateAddWeek(double mjd, int week)
& I h5 S0 n# e' {. b - {% Q3 P. r/ l1 e- O2 U5 Y
- mjd += week * 7.0;
* ?+ r! C, e5 y5 v1 w/ ^: b9 V
2 x. K8 {. ~( s; i3 E. x+ Y- return mjd;( _) ~( y a" A- g7 O% ]
- }7 R9 g5 E; W3 B7 j% ^0 g
- . Q( B" | D1 R
- /****************************************************************5 u0 G& y" t4 S
- * Function: ModifiedJulianDateAddDay
% ?' {& b# j7 e( t, n. x0 A - * Description: Modified julian date add day.0 b; O+ L- U3 B+ R% d
- * Input: mjd: Modified julian date.
6 |8 y9 Y' \$ M7 n% v( @- A - * day: The number of day to add.
0 o' Y" Y/ Z! V$ i - * Output:/ v! J( t& u" R! P+ I' z
- * Return: Modified julian date.
1 z6 K3 V9 P# o0 I* O% m, N - *****************************************************************/
" ^2 q% c! \/ c1 h) w- {" u# ], }6 d4 q - double ModifiedJulianDateAddDay(double mjd, int day) z9 x' U/ X q. I8 t
- {
3 _' A" a* t) T3 |5 \- q - mjd += day;
. R( m5 K" Z6 w' f0 @ - % r h# d* l# Y" t' }
- return mjd;3 }6 O- r. J; N8 \# U7 `
- }- ]9 v) w0 q1 H8 i! o3 p+ Q
2 R" t, F2 w" u- /****************************************************************+ i9 s% D- b/ @
- * Function: ModifiedJulianDateAddHour
: m) Q: A0 [) W4 x$ k - * Description: Modified julian date add hour.7 o. z7 t+ ^0 F' @9 \1 \) ~
- * Input: mjd: Modified julian date. L, o0 x c0 L7 u4 w$ `5 {% B3 j
- * hour: The number of hour to add.
6 H! [" Y0 g$ }% S/ o - * Output:( r$ P( e5 U. u+ r _
- * Return: Modified julian date.
5 L1 A' {' m+ m$ v: q$ ?/ [; y - *****************************************************************/
s- e5 B3 X$ I( Y, O - double ModifiedJulianDateAddHour(double mjd, int hour)
0 Y j! D: ]1 c' F) } - {
# \' n) B/ F$ G# D! J. {+ n. x# [ - mjd += hour / 24.0;
2 S& `" d. j; B: }, E1 Y: P& C
" w4 n1 X. _; C5 q2 @) f. [8 d! w- return mjd;
/ Q M! A( g$ i0 G - }
- d6 T* f: F6 e/ S4 V
9 q7 G8 l1 ~! |" G* y2 {, V* X6 t- /****************************************************************
1 [, O2 m- w1 } - * Function: ModifiedJulianDateAddMinute" c! O6 }8 X+ P6 t* L
- * Description: Modified julian date add minute.1 j' I( s7 K& }( T
- * Input: mjd: Modified julian date.
+ [+ a4 u( B/ D4 T5 T6 }% P - * minute: The number of minute to add.
9 A; W0 m9 A( w$ v$ U- D - * Output:
L1 [% O: V# T3 a) K - * Return: Modified julian date.
; {7 G4 L4 F, x# l1 q - *****************************************************************/( Q; `" o3 R1 @- P+ x' r/ q0 o2 \
- double ModifiedJulianDateAddMinute(double mjd, int minute)- m x. B3 ~2 A/ m0 q H- L; ^" L
- {4 G2 y4 | q, e$ |7 l
- mjd += minute / 1440.0;
; }& O% I E& ~* n - 4 ^5 J" ~0 k% }6 \) o2 I1 U
- return mjd;
& _' X* _& U( Z8 _ - }
% i- m9 c/ O/ m - 0 T9 i: J8 D" W) Q2 {
- /****************************************************************$ M# ?6 }- I7 _+ I! e8 v
- * Function: ModifiedJulianDateAddSecond( z# n* j( J* Y
- * Description: Modified julian date add second.+ `9 ?0 @: H6 n- @" l1 W2 z, o
- * Input: mjd: Modified julian date.
6 C/ X6 E6 N3 |% l$ V - * second: The number of second to add.
+ f5 i7 s: t: t% n% @6 d3 n, m - * Output:
: o- I- A3 Z8 D7 w V! c - * Return: Modified julian date.
Q- U( q+ P; _5 R" j2 L* R - *****************************************************************/
& ?2 q2 }; c" {, E7 H3 H& r0 k - double ModifiedJulianDateAddSecond(double mjd, int second)
2 V/ H7 n: ?6 ^# n0 r - {
+ t) O7 O% N$ ]) x) E - mjd += second / 86400.0;$ l# K1 E. }8 c, I3 }' m' ~
% u3 v$ I3 Z) d: b* r( Y5 |4 G* M7 g# @- return mjd;
" L, d8 X6 j6 ?9 |4 E: w3 P - }
! L8 M7 c# l% ?0 H1 P/ f
' p- R/ t. }: x- /****************************************************************
( k8 z0 h; s: a: J1 @6 R - * Function: ModifiedJulianDateToGregorianCalendarDate7 |+ \: x; l+ A! [ C% K3 a( p
- * Description: Modified julian date to gregorian calendar date.
/ m% ?( Y) f/ j: I9 @ p - * Input: mjd: Modified julian date.
: Q1 P2 `3 S7 e/ H, Y. w - * Output:
* V" h; v: w0 }: @% H: D - * Return: Gregorian calendar date.; D5 ~) ?2 c3 H
- *****************************************************************/* t5 G, K+ M. S1 V! k' h
- DateTime ModifiedJulianDateToGregorianCalendarDate(double mjd)
2 C; L# n3 q4 ^ - {" L: s* A0 i5 I
- return JulianDateToGregorianCalendarDate(mjd + 2400000.5);
1 P3 Q6 [' s4 O& F4 a - }
( E" B0 H/ U* x
: M }" r7 n' s- L# B, \8 L- /****************************************************************1 R |) ?0 p) [3 F7 M2 ~
- * Function: ModifiedJulianDateToGpsWeekSecond- Z8 s: _, N% F7 z
- * Description: Modified julian date to gps week and second.
9 V( x6 Z% H8 U, x4 D" v - * Input: mjd: Modified julian date." q7 ?5 {% Z0 \0 U( w; A- A
- * Output:
, e' ^2 f5 r$ k - * Return: Gps week and second.+ {0 x" D9 o: O8 J
- *****************************************************************/2 F8 x+ \0 [7 L, k
- GpsWeekSecond ModifiedJulianDateToGpsWeekSecond(double mjd)" D& b( C3 ~! `& I$ f+ z. R
- {: }' p& ~! [3 w( B0 x
- return JulianDateToGpsWeekSecond(mjd + 2400000.5);9 f, b' r( c1 J! f" B' L
- }
8 S% L6 Y) N9 P7 d2 |3 o7 k- M - 7 `9 j3 e& j- b8 P9 F
- /****************************************************************
3 U1 g" K1 C; T - * Function: ModifiedJulianDateToJulianDate
9 G- K1 o- w7 f' P - * Description: Modified julian date to julian date.
! [, z3 t6 v9 X [ - * Input: mjd: Modified julian date.
0 m, F9 x( z% m$ s - * Output:
$ v c8 T! z5 O0 i - * Return: Julian date.
, I- X! K- `. ] - *****************************************************************/
/ E R8 R( D* @' a) N8 k - double ModifiedJulianDateToJulianDate(double mjd)0 t2 R/ _! C9 [- T
- {
8 Y+ \; S: o& J3 l - double jd = mjd + 2400000.5;
_. }2 i5 J ~5 i1 M0 h! W1 ]. ?$ r - , T; p& v, [, t( j3 [9 ~
- return jd;
6 e' O2 w3 `6 x: D+ y, |: T; d - }
2 q9 |' J/ s P
# @5 C$ a! {- m main.c文件
% _* S7 |2 e" C- H- /****************************************************************
( k4 w/ B7 A7 x7 x7 g, O - * Copyright (C) 2017, XinLi, all right reserved.
8 S, H3 @- F5 w6 ~& D* _ - * File name: main.c
! F7 Q" l' U+ ^3 {, K4 N% V# | - * Date: 2017.10.17
* m+ u6 W! {* w: T9 L% M' U: k - * Description: GPS, UTC and local time displays." F X7 i) ]3 b% _' c. h4 g
- *****************************************************************/+ }5 N+ a: f( K: r
. g+ l& {3 h# R* Z- /****************************************************************
% m7 _6 j! ~5 `( y2 [ - * Header include
( P T" ]* o9 V0 S% u - *****************************************************************/
! S N2 ?- B- ~, i1 Z3 a& E - #include "DateTime.h"
4 p* q ]6 n( P+ | - #include <stdint.h>8 J7 ^9 [% K& Z6 A, G; t3 m7 P( l/ C
- #include <stdio.h>
) q1 ?7 e* f* p7 A' ]! o; Z - #include <time.h>
N# B( C0 Q' B$ y2 h0 q - #include <windows.h>& j$ f4 Y9 s7 U( Y- r! X
/ b* [5 w$ R8 O' { V% p* X( O+ }- /****************************************************************
T. K% G" V$ C0 F6 N1 ^/ l) \ - * Global variables5 z2 g- X- ^- K# W* d
- *****************************************************************/' w* q4 q1 Z2 u: C# H% a: N9 h
: i0 c) M5 O% Y8 A' g! U
( j! `# ?& b/ }+ d& Q- u- /****************************************************************
5 P2 b& g0 k; W% h2 {9 y9 O# p$ ~0 r - * Function declaration1 n1 G9 D, h2 `1 |) a
- *****************************************************************/
! P' k; x! C; D- x z% w - static void gotoxy(int x, int y);
! U: x8 O2 B( z V, X - 7 E5 x2 R4 [& w8 m
- /****************************************************************" N0 ]" f0 Z+ X; G
- * Function definition6 t8 z0 N$ G; B% J1 u( f
- *****************************************************************/
9 t. o2 w& Y% w/ r$ g& N - * p, P* j' ~" |7 Q* s7 G, ]
- /****************************************************************
0 b' s: r: S( f - * Function: main6 P P. T$ G6 o2 Z4 f. D! P" ~
- * Description: Program entry.; N7 o6 b# D% c9 ^ r! ^* g+ v
- * Input:
( Y, \1 T" L3 ~5 v P# \ - * Output:
7 i: E: i) Z% O, a" n* x- @% L - * Return:
! |9 |0 J* V; Y6 { - *****************************************************************/2 Q7 o! [9 z& J. [3 ~
- int main(void)% U$ K& j! z4 ]3 t
- {( G! v3 U. L: J! N# Y
- for(;;)1 |; a M" Q4 T
- {2 X% l( y1 ?# G4 p" ^
- time_t times = 0;
% e0 O4 i0 B: w' l+ ]: N, i - double mjd = 0.0; z1 C. n1 u" E8 J7 h7 N
- DateTime utctime = {.year = 1970, .month = 1, .day = 1, .hour = 0, .minute = 0, .second = 0};) l+ I; u3 f8 [' _4 C3 [, L' T8 H2 f
- DateTime localtime = {.year = 1970, .month = 1, .day = 1, .hour = 8, .minute = 0, .second = 0};# f' }) Y. J( \; |% o& o
- DateTime gpstime = {.year = 1970, .month = 1, .day = 1, .hour = 0, .minute = 0, .second = 0};
$ V, {& r; w/ X, I9 {5 @ - GpsWeekSecond gpstimews = {0};! G! D z+ ^3 G3 s8 I
( k+ N/ [# }) W9 {1 w, f+ D6 h- time(×);
$ ]3 l# a0 M9 b8 Z& l K$ `4 F. m' }
3 O9 w% o5 g0 D) X/ ^5 j3 s- if(times > INT32_MAX)2 N0 j% X q) p6 X A
- {8 o4 x0 S: n( S W* p0 J+ [/ u- ?
- utctime = GregorianCalendarDateAddSecond(utctime, INT32_MAX);
. U: ?, ^! ^4 n% e E% K0 q - utctime = GregorianCalendarDateAddSecond(utctime, (int)(times - INT32_MAX));
" ?$ H+ p% U( U1 W2 S - }. J! b4 r" I$ L$ z' `3 e7 J# u
- else3 A4 [' y% P/ E `6 r
- {
# B- V/ `- p5 ~/ Y1 a. H# U - utctime = GregorianCalendarDateAddSecond(utctime, (int)times);
' Y/ ]1 _& J9 e% s6 K2 q) s - }& {- t' {9 ^. k) X' B
- 4 M* X$ ~; |9 h& D5 g
- mjd = GregorianCalendarDateToModifiedJulianDate(utctime);
H: t4 ?1 @$ J8 x9 R, z - localtime = GregorianCalendarDateAddHour(utctime, 8);
' ]; A6 m) C+ I( M - gpstime = GregorianCalendarDateAddSecond(utctime, 18);! V6 C% I. x/ w0 E2 d: X
- gpstimews = GregorianCalendarDateToGpsWeekSecond(gpstime);( T6 f. i% K- b0 i* G
- v6 Q& g3 z: O
- gotoxy(0, 0);
- g& W6 c6 j A( d: F6 ^% t2 ^
" p0 K5 F7 W* q+ U4 M- printf("Local | %d-%.2d-%.2d %.2d:%.2d:%.2d | timezone UTC+8\n",/ O7 F% L4 ]9 m5 Z" Z
- localtime.year, localtime.month, localtime.day,
: E H' S5 }( k" } - localtime.hour, localtime.minute, localtime.second);
5 C) A7 k% w1 X9 b
6 I, z; V0 k0 _" z- printf("UTC | %d-%.2d-%.2d %.2d:%.2d:%.2d | MJD %.5f\n",9 E& x8 K, Y) D! O3 c% e1 ~
- utctime.year, utctime.month, utctime.day,& d! z; {& F! J4 e: y a" q
- utctime.hour, utctime.minute, utctime.second,+ ]- S( J4 J0 ]. E$ L$ I5 f7 u* @
- mjd);0 K! d1 Z! O) j
! |. c" F3 @ @- t$ t- printf("GPS | %d-%.2d-%.2d %.2d:%.2d:%.2d | week %d %d s\n",' Z q7 p& {; Z0 f3 G/ i0 h, L; @
- gpstime.year, gpstime.month, gpstime.day,9 d; i" X; I7 {. j5 P7 F
- gpstime.hour, gpstime.minute, gpstime.second,0 z5 ]6 P; X- Y
- gpstimews.week, gpstimews.second);
& P. k% X- x9 a
. m: u; G: @1 ^% K$ R9 _- Sleep(100);
9 i. Z$ W: }- H6 D - }( | b& ]6 m" ^
- }
4 a% J# g5 z/ x% o H9 Q+ M4 ~
% A( w/ r% G @3 E& o4 n% W+ Y- /****************************************************************; i" B9 T6 r/ Q* t2 f0 U
- * Function: gotoxy
0 |, R$ ~8 c1 J) q+ I) f - * Description: Move the cursor to the specified position on the text screen.
/ K5 B% M' R- L2 `8 s6 S" v - * Input: x: X axis coordinates.
0 k/ @) b# H, Y8 }; m9 j - * y: Y axis coordinates./ F3 M% H+ Z( J; x# M9 w
- * Output:* u) E: [4 z% s* w% T
- * Return:
' a9 T/ n3 ` ?- Z& j - *****************************************************************/$ j. I# f% J% F. N7 V
- static void gotoxy(int x, int y)0 V2 P$ e5 Q0 j, c3 }
- {
0 K) d5 E* X7 h1 y6 z5 S( K4 ^ - COORD pos = {x, y};% H6 z# `( s* A2 G0 g- @ u6 f
- HANDLE hOut = GetStdHandle(STD_OUTPUT_HANDLE);
0 {: _& m2 y) _ - SetConsoleCursorPosition(hOut, pos); H& b6 [% e! Q2 n4 u
- }
3 V1 f. D6 \( e
0 t% I- h2 V& ?' J0 a. ^3，运行效果
1 N' c, K+ W2 F4 p+ i) }
6 e( J4 n: |$ W9 e
! j. l; z' ~* r; Z1 Q7 H
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