[3] | 1 | /* Tracy-2 |
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| 2 | |
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| 3 | J. Bengtsson, CBP, LBL 1990 - 1994 Pascal version |
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| 4 | SLS, PSI 1995 - 1997 |
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| 5 | M. Boege SLS, PSI 1998 C translation |
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| 6 | L. Nadolski SOLEIL 2002 Link to NAFF, Radia field maps |
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| 7 | J. Bengtsson NSLS-II, BNL 2004 - |
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| 8 | */ |
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| 9 | /* Current revision $Revision: 1.20 $ |
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| 10 | On branch $Name: $ |
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| 11 | Latest change by $Author: zhang $ |
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| 12 | */ |
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| 13 | |
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| 14 | /**************************/ |
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| 15 | /* Routines for printing */ |
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| 16 | /**************************/ |
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| 17 | |
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[11] | 18 | /******************************************************************************* |
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| 19 | * |
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| 20 | * |
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| 21 | * |
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| 22 | * |
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| 23 | ******************************************************************************/ |
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[3] | 24 | /**** same as asctime in C without the \n at the end****/ |
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| 25 | char *asctime2(const struct tm *timeptr) { |
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| 26 | // terminated with \0. |
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| 27 | static char wday_name[7][4] = { "Sun", "Mon", "Tue", "Wed", "Thu", "Fri", |
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| 28 | "Sat" }; |
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| 29 | // terminated with \0. |
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| 30 | static char mon_name[12][4] = { "Jan", "Feb", "Mar", "Apr", "May", "Jun", |
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| 31 | "Jul", "Aug", "Sep", "Oct", "Nov", "Dec" }; |
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| 32 | static char result[26]; |
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| 33 | |
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| 34 | sprintf(result, "%.3s %.3s%3d %.2d:%.2d:%.2d %d", |
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| 35 | wday_name[timeptr->tm_wday], mon_name[timeptr->tm_mon], |
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| 36 | timeptr->tm_mday, timeptr->tm_hour, timeptr->tm_min, |
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| 37 | timeptr->tm_sec, 1900 + timeptr->tm_year); |
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| 38 | return result; |
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| 39 | } |
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[11] | 40 | /******************************************************************************* |
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| 41 | * |
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| 42 | * |
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| 43 | * |
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| 44 | * |
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| 45 | ******************************************************************************/ |
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[3] | 46 | /** Get time and date **/ |
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| 47 | struct tm* GetTime() { |
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| 48 | struct tm *whattime; |
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| 49 | /* Get time and date */ |
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| 50 | time_t aclock; |
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| 51 | time(&aclock); /* Get time in seconds */ |
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| 52 | whattime = localtime(&aclock); /* Convert time to struct */ |
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| 53 | return whattime; |
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| 54 | } |
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| 55 | /**************************************************************************** |
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| 56 | * uint32_t stampstart() |
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| 57 | |
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| 58 | |
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| 59 | Purpose: record time in millliseconds |
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| 60 | |
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| 61 | Input: |
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| 62 | none |
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| 63 | |
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| 64 | Output: |
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| 65 | non |
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| 66 | |
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| 67 | Return: |
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| 68 | time in milliseconds |
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| 69 | |
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| 70 | Global variables: |
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| 71 | none |
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| 72 | |
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| 73 | specific functions: |
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| 74 | none |
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| 75 | |
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| 76 | Comments: |
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| 77 | to be used with stampstop() |
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| 78 | |
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| 79 | ****************************************************************************/ |
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| 80 | |
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| 81 | uint32_t stampstart(void) { |
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| 82 | struct timeval tv; |
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| 83 | struct timezone tz; |
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| 84 | struct tm *tm; |
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| 85 | uint32_t start; |
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| 86 | const bool timedebug = false; |
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| 87 | |
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| 88 | // get the time |
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| 89 | gettimeofday(&tv, &tz); |
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| 90 | tm = localtime(&tv.tv_sec); |
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| 91 | |
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| 92 | // print detailed time in milliseconds |
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| 93 | if (timedebug) |
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| 94 | printf("TIMESTAMP-START\t %d:%02d:%02d:%d (~%d ms)\n", tm->tm_hour, |
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| 95 | tm->tm_min, tm->tm_sec, tv.tv_usec, tm->tm_hour * 3600 * 1000 |
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| 96 | + tm->tm_min * 60 * 1000 + tm->tm_sec * 1000 |
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| 97 | + tv.tv_usec / 1000); |
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| 98 | |
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| 99 | start = tm->tm_hour * 3600 * 1000 + tm->tm_min * 60 * 1000 + tm->tm_sec |
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| 100 | * 1000 + tv.tv_usec / 1000; |
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| 101 | |
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| 102 | return (start); |
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| 103 | |
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| 104 | } |
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| 105 | |
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| 106 | // compute time elapsed since start |
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| 107 | /**************************************************************************** |
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| 108 | * uint32_t stampstop(uint32_t start) |
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| 109 | |
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| 110 | Purpose: compute time elapsed since start time |
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| 111 | |
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| 112 | Input: |
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| 113 | start starting time i millisecond |
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| 114 | |
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| 115 | Output: |
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| 116 | none |
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| 117 | |
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| 118 | Return: |
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| 119 | none |
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| 120 | |
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| 121 | Global variables: |
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| 122 | none |
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| 123 | |
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| 124 | specific functions: |
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| 125 | none |
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| 126 | |
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| 127 | Comments: |
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| 128 | to be used with stampstart |
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| 129 | |
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| 130 | ****************************************************************************/ |
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| 131 | uint32_t stampstop(uint32_t start) { |
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| 132 | |
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| 133 | struct timeval tv; |
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| 134 | struct timezone tz; |
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| 135 | struct tm *tm; |
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| 136 | uint32_t stop; |
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| 137 | const bool timedebug = false; |
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| 138 | bool prt = true; |
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| 139 | // get the time |
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| 140 | gettimeofday(&tv, &tz); |
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| 141 | tm = localtime(&tv.tv_sec); |
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| 142 | |
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| 143 | stop = tm->tm_hour * 3600 * 1000 + tm->tm_min * 60 * 1000 + tm->tm_sec |
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| 144 | * 1000 + tv.tv_usec / 1000; |
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| 145 | |
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| 146 | // print detailed time in milliseconds |
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| 147 | if (timedebug) { |
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| 148 | printf("TIMESTAMP-END\t %d:%02d:%02d:%d (~%d ms) \n", tm->tm_hour, |
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| 149 | tm->tm_min, tm->tm_sec, tv.tv_usec, tm->tm_hour * 3600 * 1000 |
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| 150 | + tm->tm_min * 60 * 1000 + tm->tm_sec * 1000 |
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| 151 | + tv.tv_usec / 1000); |
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| 152 | printf("ELAPSED\t %d ms\n", stop - start); |
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| 153 | } |
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| 154 | |
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| 155 | uint32_t delta, hour, minute, second, millisecond; |
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| 156 | delta = stop - start; |
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| 157 | hour = delta / 3600000; |
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| 158 | minute = (delta - 3600000 * hour) / 60000; |
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| 159 | second = (delta - 3600000 * hour - minute * 60000) / 1000; |
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| 160 | millisecond = delta - 3600000 * hour - minute * 60000 - second * 1000; |
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| 161 | |
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| 162 | if (prt) |
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| 163 | printf("ELAPSED\t %d h %d min %d s %d ms\n", hour, minute, second, |
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| 164 | millisecond); |
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| 165 | |
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| 166 | return (stop); |
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| 167 | |
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| 168 | } |
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| 169 | /****************************************************************************/ |
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| 170 | /* void printglob(void) |
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| 171 | |
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| 172 | Purpose: |
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| 173 | Print global variables on screen |
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| 174 | Print tunes and chromaticities |
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| 175 | Print Oneturn matrix |
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| 176 | |
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| 177 | Input: |
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| 178 | none |
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| 179 | |
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| 180 | Output: |
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| 181 | output on the screen |
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| 182 | |
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| 183 | Return: |
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| 184 | none |
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| 185 | |
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| 186 | Global variables: |
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| 187 | globval |
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| 188 | |
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| 189 | Specific functions: |
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| 190 | none |
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| 191 | |
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| 192 | Comments: |
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| 193 | 26/03/03 Oneturn matrix added |
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| 194 | 26/03/03 RF acceptance added |
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| 195 | 10/05/03 Momentum compaction factor added |
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| 196 | 16/05/03 Correction for a asymmetrical vaccum vessel |
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| 197 | 20/06/03 Add corrector, skew quad and bpm number |
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| 198 | 27/10/03 Add flag for radiation and chambre |
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| 199 | |
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| 200 | Comments copied from Tracy 2.7(soleil),Written by L.Nadolski. |
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[11] | 201 | |
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| 202 | 03/06/2013 Add feature to print the summary on the sreen and an external file |
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[3] | 203 | |
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| 204 | ****************************************************************************/ |
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| 205 | void printglob(void) { |
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| 206 | printf("\n***************************************************************" |
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| 207 | "***************\n"); |
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| 208 | printf("\n"); |
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| 209 | printf(" dPcommon = %9.3e dPparticle = %9.3e" |
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| 210 | " Energy [GeV] = %.3f\n", globval.dPcommon, globval.dPparticle, |
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| 211 | globval.Energy); |
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| 212 | printf(" MaxAmplx [m] = %9.3e MaxAmply [m] = %9.3e" |
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| 213 | " RFAccept [%%] = +/- %4.2f\n", Cell[0].maxampl[X_][1], |
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| 214 | Cell[0].maxampl[Y_][1], globval.delta_RF * 1e2); |
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| 215 | printf(" MatMeth = %s ", globval.MatMeth ? "TRUE " : "FALSE"); |
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| 216 | printf(" Cavity_On = %s ", globval.Cavity_on ? "TRUE " : "FALSE"); |
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| 217 | printf(" Radiation_On = %s \n", globval.radiation ? "TRUE " : "FALSE"); |
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| 218 | |
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| 219 | if(globval.bpm == 0) |
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| 220 | printf(" bpm = 0"); |
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| 221 | else |
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| 222 | printf(" bpm = %3d", GetnKid(globval.bpm)); |
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| 223 | if(globval.qt == 0) |
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| 224 | printf(" qt = 0 \n"); |
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| 225 | else |
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| 226 | printf(" qt = %3d \n", GetnKid(globval.qt)); |
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| 227 | if(globval.hcorr == 0) |
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| 228 | printf(" hcorr = 0"); |
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| 229 | else |
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| 230 | printf(" hcorr = %3d", GetnKid(globval.hcorr)); |
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| 231 | if(globval.vcorr == 0) |
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| 232 | printf(" vcorr = 0 \n"); |
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| 233 | else |
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| 234 | printf(" vcorr = %3d \n", GetnKid(globval.vcorr)); |
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| 235 | |
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| 236 | printf(" Chambre_On = %s \n", globval.Aperture_on ? "TRUE " : "FALSE"); |
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| 237 | |
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| 238 | printf(" alphac = %8.4e\n", globval.Alphac); |
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| 239 | printf(" nux = %8.6f nuy = %8.6f", |
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| 240 | globval.TotalTune[X_], globval.TotalTune[Y_]); |
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| 241 | if (globval.Cavity_on) |
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| 242 | printf(" omega = %13.9f\n", globval.Omega); |
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| 243 | else { |
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| 244 | printf("\n"); |
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| 245 | printf(" ksix = %8.6f ksiy = %8.6f\n", |
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| 246 | globval.Chrom[X_], globval.Chrom[Y_]); |
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| 247 | } |
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| 248 | printf("\n"); |
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| 249 | printf(" OneTurn matrix:\n"); |
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| 250 | printf("\n"); |
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| 251 | prtmat(ss_dim, globval.OneTurnMat); |
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| 252 | |
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| 253 | printf("\nTwiss parameters at entrance:\n"); |
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| 254 | printf( |
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| 255 | " Betax [m] = % 9.3e Alphax = % 9.3e Etax [m] = % 9.3e Etaxp = % 9.3e\n" |
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| 256 | " Betay [m] = % 9.3e Alphay = % 9.3e Etay [m] = % 9.3e Etayp = % 9.3e\n\n", |
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| 257 | Cell[1].Beta[X_], Cell[1].Alpha[X_], Cell[1].Eta[X_], |
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| 258 | Cell[1].Etap[X_], Cell[1].Beta[Y_], Cell[1].Alpha[Y_], |
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| 259 | Cell[1].Eta[Y_], Cell[1].Etap[Y_]); |
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| 260 | |
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| 261 | fflush( stdout); |
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| 262 | } |
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| 263 | |
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| 264 | /****************************************************************************/ |
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[11] | 265 | /* void printglob2file(void) |
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[3] | 266 | |
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| 267 | Purpose: |
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[11] | 268 | Print global variables on screen |
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| 269 | Print tunes and chromaticities |
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| 270 | Print Oneturn matrix |
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| 271 | |
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| 272 | Input: |
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| 273 | none |
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| 274 | |
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| 275 | Output: |
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| 276 | output on the screen |
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| 277 | |
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| 278 | Return: |
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| 279 | none |
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| 280 | |
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| 281 | Global variables: |
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| 282 | globval |
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| 283 | |
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| 284 | Specific functions: |
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| 285 | none |
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| 286 | |
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| 287 | Comments: |
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| 288 | 03/06/2013 by Jianfeng Zhang @ LAL |
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| 289 | The same feature as the file printglob(void), but |
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| 290 | added feature to print the lattice summary to an external file |
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| 291 | |
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| 292 | |
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| 293 | ****************************************************************************/ |
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| 294 | void printglob2file(const char fic[]) { |
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| 295 | FILE *fout; |
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| 296 | int i=0,j=0; |
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| 297 | |
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| 298 | fout = fopen(fic,"w"); |
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| 299 | |
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| 300 | fprintf(fout, "\n***************************************************************" |
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| 301 | "***************\n"); |
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| 302 | fprintf(fout,"\n"); |
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| 303 | fprintf(fout," dPcommon = %9.3e dPparticle = %9.3e" |
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| 304 | " Energy [GeV] = %.3f\n", globval.dPcommon, globval.dPparticle, |
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| 305 | globval.Energy); |
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| 306 | fprintf(fout," MaxAmplx [m] = %9.3e MaxAmply [m] = %9.3e" |
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| 307 | " RFAccept [%%] = +/- %4.2f\n", Cell[0].maxampl[X_][1], |
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| 308 | Cell[0].maxampl[Y_][1], globval.delta_RF * 1e2); |
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| 309 | fprintf(fout," MatMeth = %s ", globval.MatMeth ? "TRUE " : "FALSE"); |
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| 310 | fprintf(fout," Cavity_On = %s ", globval.Cavity_on ? "TRUE " : "FALSE"); |
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| 311 | fprintf(fout," Radiation_On = %s \n", globval.radiation ? "TRUE " : "FALSE"); |
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| 312 | |
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| 313 | if(globval.bpm == 0) |
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| 314 | fprintf(fout," bpm = 0"); |
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| 315 | else |
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| 316 | fprintf(fout," bpm = %3d", GetnKid(globval.bpm)); |
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| 317 | if(globval.qt == 0) |
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| 318 | fprintf(fout," qt = 0 \n"); |
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| 319 | else |
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| 320 | fprintf(fout," qt = %3d \n", GetnKid(globval.qt)); |
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| 321 | if(globval.hcorr == 0) |
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| 322 | fprintf(fout," hcorr = 0"); |
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| 323 | else |
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| 324 | fprintf(fout," hcorr = %3d", GetnKid(globval.hcorr)); |
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| 325 | if(globval.vcorr == 0) |
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| 326 | fprintf(fout," vcorr = 0 \n"); |
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| 327 | else |
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| 328 | fprintf(fout," vcorr = %3d \n", GetnKid(globval.vcorr)); |
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| 329 | |
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| 330 | fprintf(fout," Chambre_On = %s \n", globval.Aperture_on ? "TRUE " : "FALSE"); |
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| 331 | |
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| 332 | fprintf(fout," alphac = %8.4e\n", globval.Alphac); |
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| 333 | fprintf(fout," nux = %8.6f nuy = %8.6f", |
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| 334 | globval.TotalTune[X_], globval.TotalTune[Y_]); |
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| 335 | if (globval.Cavity_on) |
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| 336 | fprintf(fout," omega = %13.9f\n", globval.Omega); |
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| 337 | else { |
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| 338 | fprintf(fout,"\n"); |
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| 339 | fprintf(fout," ksix = %8.6f ksiy = %8.6f\n", |
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| 340 | globval.Chrom[X_], globval.Chrom[Y_]); |
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| 341 | } |
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| 342 | fprintf(fout,"\n"); |
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| 343 | |
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| 344 | fprintf(fout," OneTurn matrix:\n"); |
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| 345 | for(i=0;i<ss_dim;i++){ |
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| 346 | fprintf(fout,"\n"); |
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| 347 | for(j=0;j<ss_dim;j++) |
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| 348 | fprintf(fout,"%14.6e",globval.OneTurnMat[i][j]); |
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| 349 | } |
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| 350 | |
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| 351 | fprintf(fout,"\n\nTwiss parameters at entrance:\n"); |
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| 352 | fprintf(fout, |
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| 353 | " Betax [m] = % 9.3e Alphax = % 9.3e Etax [m] = % 9.3e Etaxp = % 9.3e\n" |
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| 354 | " Betay [m] = % 9.3e Alphay = % 9.3e Etay [m] = % 9.3e Etayp = % 9.3e\n\n", |
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| 355 | Cell[1].Beta[X_], Cell[1].Alpha[X_], Cell[1].Eta[X_], |
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| 356 | Cell[1].Etap[X_], Cell[1].Beta[Y_], Cell[1].Alpha[Y_], |
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| 357 | Cell[1].Eta[Y_], Cell[1].Etap[Y_]); |
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| 358 | |
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| 359 | fclose(fout); |
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| 360 | } |
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| 361 | |
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| 362 | /****************************************************************************/ |
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| 363 | /* void printlatt(const char fic[]) |
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| 364 | |
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| 365 | Purpose: |
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[3] | 366 | Print twiss parameters into file linlat.out |
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| 367 | name, position, alpha, beta, phase, dispersion and its derivative |
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| 368 | |
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| 369 | Input: |
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| 370 | none |
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| 371 | |
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| 372 | Output: |
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| 373 | none |
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| 374 | |
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| 375 | Return: |
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| 376 | none |
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| 377 | |
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| 378 | Global variables: |
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| 379 | globval |
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| 380 | |
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| 381 | Specific functions: |
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| 382 | getelem |
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| 383 | |
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| 384 | Comments: |
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| 385 | 28/04/03 outfile end with .out extension instead of .dat |
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| 386 | Twiss parameters are computed at the end of elements |
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| 387 | |
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| 388 | ****************************************************************************/ |
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| 389 | //void printlatt(void) |
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| 390 | void printlatt(const char fic[]) { |
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| 391 | long int i = 0; |
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| 392 | FILE *outf; |
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| 393 | struct tm *newtime; |
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| 394 | |
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| 395 | /* Get time and date */ |
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| 396 | newtime = GetTime(); |
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| 397 | |
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| 398 | if ((outf = fopen(fic, "w")) == NULL) { |
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| 399 | fprintf(stdout, "printlatt: Error while opening file %s \n", fic); |
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| 400 | exit(1); |
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| 401 | } |
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| 402 | |
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| 403 | fprintf(outf, "# TRACY III -- %s -- %s \n", fic, |
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| 404 | asctime2(newtime)); |
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| 405 | fprintf( |
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| 406 | outf, |
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| 407 | "# name s alphax betax nux etax etapx alphay betay nuy etay etapy\n"); |
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| 408 | fprintf( |
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| 409 | outf, |
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| 410 | "# [m] [m] [m] [m] [m]\n"); |
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| 411 | fprintf(outf, "# exit \n"); |
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| 412 | |
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| 413 | for (i = 1L; i <= globval.Cell_nLoc; i++) { |
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| 414 | fprintf( |
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| 415 | outf, |
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| 416 | "%4ld:%.*s% 8.4f% 8.3f% 7.3f% 7.3f% 7.3f% 7.3f% 8.3f% 7.3f% 7.3f% 12.3e% 12.3e\n", |
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| 417 | i, SymbolLength, Cell[i].Elem.PName, Cell[i].S, |
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| 418 | Cell[i].Alpha[X_], Cell[i].Beta[X_], Cell[i].Nu[X_], |
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| 419 | Cell[i].Eta[X_], Cell[i].Etap[X_], Cell[i].Alpha[Y_], |
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| 420 | Cell[i].Beta[Y_], Cell[i].Nu[Y_], Cell[i].Eta[Y_], |
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| 421 | Cell[i].Etap[Y_]); |
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| 422 | } |
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| 423 | fclose(outf); |
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| 424 | } |
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[11] | 425 | /******************************************************************************* |
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| 426 | * |
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| 427 | * |
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| 428 | * |
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| 429 | * |
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| 430 | ******************************************************************************/ |
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[3] | 431 | double int_curly_H1(long int n) { |
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| 432 | /* Integration with Simpson's Rule */ |
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| 433 | |
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| 434 | double curly_H; |
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| 435 | Vector2 alpha[3], beta[3], nu[3], eta[3], etap[3]; |
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| 436 | |
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| 437 | // only works for matrix style calculations |
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| 438 | get_twiss3(n, alpha, beta, nu, eta, etap); |
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| 439 | |
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| 440 | curly_H = (get_curly_H(alpha[0][X_], beta[0][X_], eta[0][X_], etap[0][X_]) |
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| 441 | + 4.0 * get_curly_H(alpha[1][X_], beta[1][X_], eta[1][X_], |
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| 442 | etap[1][X_]) + get_curly_H(alpha[2][X_], beta[2][X_], |
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| 443 | eta[2][X_], etap[2][X_])) / 6.0; |
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| 444 | |
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| 445 | return curly_H; |
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| 446 | } |
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[11] | 447 | /******************************************************************************* |
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| 448 | * |
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| 449 | * |
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| 450 | * |
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| 451 | * |
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| 452 | ******************************************************************************/ |
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[3] | 453 | void prt_sigma(void) { |
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| 454 | long int i; |
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| 455 | double code = 0.0; |
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| 456 | FILE *outf; |
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| 457 | |
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| 458 | outf = file_write("../out/sigma.out"); |
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| 459 | |
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| 460 | fprintf(outf, "# name s sqrt(sx) sqrt(sx') sqrt(sy) sqrt(sy')\n"); |
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| 461 | fprintf(outf, "# [m] [mm] [mrad] [mm] [mrad]\n"); |
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| 462 | fprintf(outf, "#\n"); |
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| 463 | |
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| 464 | for (i = 0; i <= globval.Cell_nLoc; i++) { |
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| 465 | switch (Cell[i].Elem.Pkind) { |
---|
| 466 | case drift: |
---|
| 467 | code = 0.0; |
---|
| 468 | break; |
---|
| 469 | case Mpole: |
---|
| 470 | if (Cell[i].Elem.M->Pirho != 0) |
---|
| 471 | code = 0.5; |
---|
| 472 | else if (Cell[i].Elem.M->PBpar[Quad + HOMmax] != 0) |
---|
| 473 | code = sgn(Cell[i].Elem.M->PBpar[Quad + HOMmax]); |
---|
| 474 | else if (Cell[i].Elem.M->PBpar[Sext + HOMmax] != 0) |
---|
| 475 | code = 1.5 * sgn(Cell[i].Elem.M->PBpar[Sext + HOMmax]); |
---|
| 476 | else if (Cell[i].Fnum == globval.bpm) |
---|
| 477 | code = 2.0; |
---|
| 478 | else |
---|
| 479 | code = 0.0; |
---|
| 480 | break; |
---|
| 481 | default: |
---|
| 482 | code = 0.0; |
---|
| 483 | break; |
---|
| 484 | } |
---|
| 485 | fprintf(outf, "%4ld %.*s %6.2f %4.1f %9.3e %9.3e %9.3e %9.3e\n", i, |
---|
| 486 | SymbolLength, Cell[i].Elem.PName, Cell[i].S, code, 1e3 * sqrt( |
---|
| 487 | Cell[i].sigma[x_][x_]), 1e3 * sqrt(fabs( |
---|
| 488 | Cell[i].sigma[x_][px_])), 1e3 * sqrt( |
---|
| 489 | Cell[i].sigma[y_][y_]), 1e3 * sqrt(fabs( |
---|
| 490 | Cell[i].sigma[y_][py_]))); |
---|
| 491 | } |
---|
| 492 | |
---|
| 493 | fclose(outf); |
---|
| 494 | } |
---|
| 495 | |
---|
| 496 | void recalc_S(void) { |
---|
| 497 | long int k; |
---|
| 498 | double S_tot; |
---|
| 499 | |
---|
| 500 | S_tot = 0.0; |
---|
| 501 | for (k = 0; k <= globval.Cell_nLoc; k++) { |
---|
| 502 | S_tot += Cell[k].Elem.PL; |
---|
| 503 | Cell[k].S = S_tot; |
---|
| 504 | } |
---|
| 505 | } |
---|
| 506 | /************************************************************************** |
---|
| 507 | getcod(double dP, long &lastpos) |
---|
| 508 | |
---|
| 509 | Purpose: |
---|
| 510 | Find the closed orbit for the particle with energy offset dP |
---|
| 511 | |
---|
| 512 | Input: |
---|
| 513 | imax number of iteration for cod search |
---|
| 514 | dP particle energy offset |
---|
| 515 | eps accuracy for cod search |
---|
| 516 | |
---|
| 517 | Output: |
---|
| 518 | |
---|
| 519 | Return: |
---|
| 520 | |
---|
| 521 | |
---|
| 522 | Comments: |
---|
| 523 | |
---|
| 524 | ***************************************************************************/ |
---|
| 525 | bool getcod(double dP, long &lastpos) { |
---|
| 526 | return GetCOD(globval.CODimax, globval.CODeps, dP, lastpos); |
---|
| 527 | } |
---|
| 528 | |
---|
| 529 | void get_twiss3(long int loc, Vector2 alpha[], Vector2 beta[], Vector2 nu[], |
---|
| 530 | Vector2 eta[], Vector2 etap[]) { |
---|
| 531 | /* Get Twiss functions at magnet entrance-, center-, and exit. */ |
---|
| 532 | |
---|
| 533 | long int j, k; |
---|
| 534 | Vector2 dnu; |
---|
| 535 | Matrix Ascr0, Ascr1; |
---|
| 536 | |
---|
| 537 | // Lattice functions at the magnet entrance |
---|
| 538 | for (k = 0; k <= 1; k++) { |
---|
| 539 | alpha[0][k] = Cell[loc - 1].Alpha[k]; |
---|
| 540 | beta[0][k] = Cell[loc - 1].Beta[k]; |
---|
| 541 | nu[0][k] = Cell[loc - 1].Nu[k]; |
---|
| 542 | eta[0][k] = Cell[loc - 1].Eta[k]; |
---|
| 543 | etap[0][k] = Cell[loc - 1].Etap[k]; |
---|
| 544 | } |
---|
| 545 | |
---|
| 546 | UnitMat(5, Ascr0); |
---|
| 547 | for (k = 0; k <= 1; k++) { |
---|
| 548 | Ascr0[2 * k][2 * k] = sqrt(Cell[loc - 1].Beta[k]); |
---|
| 549 | Ascr0[2 * k][2 * k + 1] = 0.0; |
---|
| 550 | Ascr0[2 * k + 1][2 * k] = -Cell[loc - 1].Alpha[k] / Ascr0[2 * k][2 * k]; |
---|
| 551 | Ascr0[2 * k + 1][2 * k + 1] = 1 / Ascr0[2 * k][2 * k]; |
---|
| 552 | } |
---|
| 553 | Ascr0[0][4] = eta[0][X_]; |
---|
| 554 | Ascr0[1][4] = etap[0][X_]; |
---|
| 555 | Ascr0[2][4] = eta[1][Y_]; |
---|
| 556 | Ascr0[3][4] = etap[1][Y_]; |
---|
| 557 | CopyMat(5, Ascr0, Ascr1); |
---|
| 558 | MulLMat(5, Cell[loc].Elem.M->AU55, Ascr1); |
---|
| 559 | dnu[0] |
---|
| 560 | = (atan(Ascr1[0][1] / Ascr1[0][0]) |
---|
| 561 | - atan(Ascr0[0][1] / Ascr0[0][0])) / (2.0 * M_PI); |
---|
| 562 | dnu[1] |
---|
| 563 | = (atan(Ascr1[2][3] / Ascr1[2][2]) |
---|
| 564 | - atan(Ascr0[2][3] / Ascr0[2][2])) / (2.0 * M_PI); |
---|
| 565 | |
---|
| 566 | // Lattice functions at the magnet center |
---|
| 567 | for (k = 0; k <= 1; k++) { |
---|
| 568 | alpha[1][k] = -Ascr1[2 * k][2 * k] * Ascr1[2 * k + 1][2 * k] - Ascr1[2 |
---|
| 569 | * k][2 * k + 1] * Ascr1[2 * k + 1][2 * k + 1]; |
---|
| 570 | beta[1][k] = pow(Ascr1[2 * k][2 * k], 2.0) + pow( |
---|
| 571 | Ascr1[2 * k][2 * k + 1], 2); |
---|
| 572 | nu[1][k] = nu[0][k] + dnu[k]; |
---|
| 573 | j = 2 * k + 1; |
---|
| 574 | eta[1][k] = Ascr1[j - 1][4]; |
---|
| 575 | etap[1][k] = Ascr1[j][4]; |
---|
| 576 | } |
---|
| 577 | |
---|
| 578 | CopyMat(5, Ascr1, Ascr0); |
---|
| 579 | MulLMat(5, Cell[loc].Elem.M->AD55, Ascr1); |
---|
| 580 | dnu[0] |
---|
| 581 | = (atan(Ascr1[0][1] / Ascr1[0][0]) |
---|
| 582 | - atan(Ascr0[0][1] / Ascr0[0][0])) / (2.0 * M_PI); |
---|
| 583 | dnu[1] |
---|
| 584 | = (atan(Ascr1[2][3] / Ascr1[2][2]) |
---|
| 585 | - atan(Ascr0[2][3] / Ascr0[2][2])) / (2.0 * M_PI); |
---|
| 586 | |
---|
| 587 | // Lattice functions at the magnet exit |
---|
| 588 | for (k = 0; k <= 1; k++) { |
---|
| 589 | alpha[2][k] = -Ascr1[2 * k][2 * k] * Ascr1[2 * k + 1][2 * k] - Ascr1[2 |
---|
| 590 | * k][2 * k + 1] * Ascr1[2 * k + 1][2 * k + 1]; |
---|
| 591 | beta[2][k] = pow(Ascr1[2 * k][2 * k], 2.0) + pow( |
---|
| 592 | Ascr1[2 * k][2 * k + 1], 2); |
---|
| 593 | nu[2][k] = nu[1][k] + dnu[k]; |
---|
| 594 | j = 2 * k + 1; |
---|
| 595 | eta[2][k] = Ascr1[j - 1][4]; |
---|
| 596 | etap[2][k] = Ascr1[j][4]; |
---|
| 597 | } |
---|
| 598 | } |
---|
[11] | 599 | /******************************************************************************* |
---|
| 600 | * |
---|
| 601 | * |
---|
| 602 | * |
---|
| 603 | * |
---|
| 604 | ******************************************************************************/ |
---|
[3] | 605 | void getabn(Vector2 &alpha, Vector2 &beta, Vector2 &nu) { |
---|
| 606 | Vector2 gamma; |
---|
| 607 | Cell_GetABGN(globval.OneTurnMat, alpha, beta, gamma, nu); |
---|
| 608 | } |
---|
[11] | 609 | /******************************************************************************* |
---|
| 610 | * |
---|
| 611 | * |
---|
| 612 | * |
---|
| 613 | * |
---|
| 614 | ******************************************************************************/ |
---|
[3] | 615 | void TraceABN(long i0, long i1, const Vector2 &alpha, const Vector2 &beta, |
---|
| 616 | const Vector2 &eta, const Vector2 &etap, const double dP) { |
---|
| 617 | long i, j; |
---|
| 618 | double sb; |
---|
| 619 | ss_vect<tps> Ascr; |
---|
| 620 | |
---|
| 621 | UnitMat(6, globval.Ascr); |
---|
| 622 | for (i = 1; i <= 2; i++) { |
---|
| 623 | sb = sqrt(beta[i - 1]); |
---|
| 624 | j = i * 2 - 1; |
---|
| 625 | globval.Ascr[j - 1][j - 1] = sb; |
---|
| 626 | globval.Ascr[j - 1][j] = 0.0; |
---|
| 627 | globval.Ascr[j][j - 1] = -(alpha[i - 1] / sb); |
---|
| 628 | globval.Ascr[j][j] = 1 / sb; |
---|
| 629 | } |
---|
| 630 | globval.Ascr[0][4] = eta[0]; |
---|
| 631 | globval.Ascr[1][4] = etap[0]; |
---|
| 632 | globval.Ascr[2][4] = eta[1]; |
---|
| 633 | globval.Ascr[3][4] = etap[1]; |
---|
| 634 | |
---|
| 635 | for (i = 0; i < 6; i++) |
---|
| 636 | globval.CODvect[i] = 0.0; |
---|
| 637 | globval.CODvect[4] = dP; |
---|
| 638 | |
---|
| 639 | if (globval.MatMeth) |
---|
| 640 | Cell_Twiss_M(i0, i1, globval.Ascr, false, false, dP); |
---|
| 641 | else { |
---|
| 642 | for (i = 0; i <= 5; i++) { |
---|
| 643 | Ascr[i] = tps(globval.CODvect[i]); |
---|
| 644 | for (j = 0; j <= 5; j++) |
---|
| 645 | Ascr[i] += globval.Ascr[i][j] * tps(0.0, j + 1); |
---|
| 646 | } |
---|
| 647 | Cell_Twiss(i0, i1, Ascr, false, false, dP); |
---|
| 648 | } |
---|
| 649 | |
---|
| 650 | } |
---|
| 651 | |
---|
| 652 | /****************************************************************************/ |
---|
| 653 | /* void FitTune(long qf, long qd, double nux, double nuy) |
---|
| 654 | |
---|
| 655 | Purpose: |
---|
| 656 | Fit tunes to the target values using quadrupoles "qf" and "qd" |
---|
| 657 | Input: |
---|
| 658 | qf : tuned quadrupole |
---|
| 659 | qd : tuned quadrupole |
---|
| 660 | nux: target horizontal tune |
---|
| 661 | nuy: target vertical tune |
---|
| 662 | Output: |
---|
| 663 | none |
---|
| 664 | |
---|
| 665 | Return: |
---|
| 666 | none |
---|
| 667 | |
---|
| 668 | Global variables: |
---|
| 669 | |
---|
| 670 | specific functions: |
---|
| 671 | |
---|
| 672 | Comments: |
---|
| 673 | |
---|
| 674 | ****************************************************************************/ |
---|
| 675 | void FitTune(long qf, long qd, double nux, double nuy) { |
---|
| 676 | long i; |
---|
| 677 | iVector2 nq = { 0, 0 }; |
---|
| 678 | Vector2 nu = { 0.0, 0.0 }; |
---|
| 679 | fitvect qfbuf, qdbuf; |
---|
| 680 | |
---|
| 681 | /* Get elements for the first quadrupole family */ |
---|
| 682 | nq[X_] = GetnKid(qf); |
---|
| 683 | for (i = 1; i <= nq[X_]; i++) |
---|
| 684 | qfbuf[i - 1] = Elem_GetPos(qf, i); |
---|
| 685 | |
---|
| 686 | /* Get elements for the second quadrupole family */ |
---|
| 687 | nq[Y_] = GetnKid(qd); |
---|
| 688 | for (i = 1; i <= nq[Y_]; i++) |
---|
| 689 | qdbuf[i - 1] = Elem_GetPos(qd, i); |
---|
| 690 | |
---|
| 691 | nu[X_] = nux; |
---|
| 692 | nu[Y_] = nuy; |
---|
| 693 | |
---|
| 694 | /* fit tunes */ |
---|
| 695 | Ring_Fittune(nu, nueps, nq, qfbuf, qdbuf, nudkL, nuimax); |
---|
| 696 | } |
---|
| 697 | |
---|
| 698 | /****************************************************************************/ |
---|
| 699 | /* void FitChrom(long sf, long sd, double ksix, double ksiy) |
---|
| 700 | |
---|
| 701 | Purpose: |
---|
| 702 | Fit chromaticities to the target values using sextupoles "sf" and "sd" |
---|
| 703 | Input: |
---|
| 704 | sf : tuned sextupole |
---|
| 705 | sd : tuned sextupole |
---|
| 706 | ksix: target horizontal chromaticity |
---|
| 707 | ksiy: target vertical chromaticity |
---|
| 708 | Output: |
---|
| 709 | none |
---|
| 710 | |
---|
| 711 | Return: |
---|
| 712 | none |
---|
| 713 | |
---|
| 714 | Global variables: |
---|
| 715 | |
---|
| 716 | specific functions: |
---|
| 717 | |
---|
| 718 | Comments: |
---|
| 719 | |
---|
| 720 | ****************************************************************************/ |
---|
| 721 | |
---|
| 722 | void FitChrom(long sf, long sd, double ksix, double ksiy) { |
---|
| 723 | long i; |
---|
| 724 | iVector2 ns = { 0, 0 }; |
---|
| 725 | fitvect sfbuf, sdbuf; |
---|
| 726 | Vector2 ksi = { 0.0, 0.0 }; |
---|
| 727 | |
---|
| 728 | /* Get elements for the first sextupole family */ |
---|
| 729 | ns[X_] = GetnKid(sf); |
---|
| 730 | for (i = 1; i <= ns[X_]; i++) |
---|
| 731 | sfbuf[i - 1] = Elem_GetPos(sf, i); |
---|
| 732 | |
---|
| 733 | /* Get elements for the second sextupole family */ |
---|
| 734 | ns[Y_] = GetnKid(sd); |
---|
| 735 | for (i = 1; i <= ns[Y_]; i++) |
---|
| 736 | sdbuf[i - 1] = Elem_GetPos(sd, i); |
---|
| 737 | |
---|
| 738 | ksi[X_] = ksix; |
---|
| 739 | ksi[Y_] = ksiy; |
---|
| 740 | |
---|
| 741 | /* Fit chromaticities */ |
---|
| 742 | /* Ring_Fitchrom(ksi, ksieps, ns, sfbuf, sdbuf, 1.0, 1);*/ |
---|
| 743 | Ring_Fitchrom(ksi, ksieps, ns, sfbuf, sdbuf, ksidkpL, ksiimax); |
---|
| 744 | } |
---|
[11] | 745 | /******************************************************************************* |
---|
| 746 | * |
---|
| 747 | * |
---|
| 748 | * |
---|
| 749 | * |
---|
| 750 | ******************************************************************************/ |
---|
[3] | 751 | void FitDisp(long q, long pos, double eta) { |
---|
[11] | 752 | long i=0L, nq=0L; |
---|
[3] | 753 | fitvect qbuf; |
---|
| 754 | |
---|
| 755 | /* Get elements for the quadrupole family */ |
---|
| 756 | nq = GetnKid(q); |
---|
| 757 | for (i = 1; i <= nq; i++) |
---|
| 758 | qbuf[i - 1] = Elem_GetPos(q, i); |
---|
| 759 | |
---|
| 760 | Ring_FitDisp(pos, eta, dispeps, nq, qbuf, dispdkL, dispimax); |
---|
| 761 | } |
---|
[11] | 762 | /******************************************************************************* |
---|
| 763 | * |
---|
| 764 | * |
---|
| 765 | * |
---|
| 766 | * |
---|
| 767 | ******************************************************************************/ |
---|
[3] | 768 | #define nfloq 4 |
---|
| 769 | |
---|
| 770 | void getfloqs(Vector &x) { |
---|
| 771 | // Transform to Floquet space |
---|
| 772 | LinTrans(nfloq, globval.Ascrinv, x); |
---|
| 773 | } |
---|
| 774 | |
---|
| 775 | #undef nfloq |
---|
| 776 | |
---|
[11] | 777 | /******************************************************************************* |
---|
| 778 | * |
---|
| 779 | * |
---|
| 780 | * |
---|
| 781 | * |
---|
| 782 | ******************************************************************************/ |
---|
[3] | 783 | #define ntrack 4 |
---|
| 784 | |
---|
| 785 | // 4D tracking in normal or Floquet space over nmax turns |
---|
| 786 | |
---|
| 787 | void track(const char *file_name, double ic1, double ic2, double ic3, |
---|
| 788 | double ic4, double dp, long int nmax, long int &lastn, |
---|
| 789 | long int &lastpos, int floqs, double f_rf) { |
---|
| 790 | /* Single particle tracking around closed orbit: |
---|
| 791 | |
---|
| 792 | Output floqs |
---|
| 793 | |
---|
| 794 | Phase Space 0 [x, px, y, py, delta, ct] |
---|
| 795 | Floquet Space 1 [x^, px^, y^, py^, delta, ct] |
---|
| 796 | Action-Angle Variables 2 [2Jx, phx, 2Jy, phiy, delta, ct] |
---|
| 797 | |
---|
| 798 | */ |
---|
[11] | 799 | long int i=0L; |
---|
| 800 | double twoJx=0.0, twoJy=0.0, phix=0.0, phiy=0.0, scl_1 = 1.0, scl_2 = 1.0; |
---|
[3] | 801 | Vector x0, x1, x2, xf; |
---|
| 802 | FILE *outf; |
---|
| 803 | |
---|
| 804 | bool prt = false; |
---|
| 805 | |
---|
| 806 | if ((floqs == 0)) { |
---|
| 807 | scl_1 = 1e3; |
---|
| 808 | scl_2 = 1e3; |
---|
| 809 | x0[x_] = ic1; |
---|
| 810 | x0[px_] = ic2; |
---|
| 811 | x0[y_] = ic3; |
---|
| 812 | x0[py_] = ic4; |
---|
| 813 | } else if ((floqs == 1)) { |
---|
| 814 | scl_1 = 1.0; |
---|
| 815 | scl_2 = 1.0; |
---|
| 816 | x0[x_] = ic1; |
---|
| 817 | x0[px_] = ic2; |
---|
| 818 | x0[y_] = ic3; |
---|
| 819 | x0[py_] = ic4; |
---|
| 820 | LinTrans(4, globval.Ascr, x0); |
---|
| 821 | } else if (floqs == 2) { |
---|
| 822 | scl_1 = 1e6; |
---|
| 823 | scl_2 = 1.0; |
---|
| 824 | x0[x_] = sqrt(ic1) * cos(ic2); |
---|
| 825 | x0[px_] = -sqrt(ic1) * sin(ic2); |
---|
| 826 | x0[y_] = sqrt(ic3) * cos(ic4); |
---|
| 827 | x0[py_] = -sqrt(ic3) * sin(ic4); |
---|
| 828 | LinTrans(4, globval.Ascr, x0); |
---|
| 829 | } |
---|
| 830 | |
---|
| 831 | outf = file_write(file_name); |
---|
| 832 | fprintf(outf, "# Tracking with TRACY"); |
---|
| 833 | getcod(dp, lastpos); |
---|
| 834 | if (floqs == 0) |
---|
| 835 | fprintf(outf, "\n"); |
---|
| 836 | else if (floqs == 1) { |
---|
| 837 | Ring_GetTwiss(false, dp); |
---|
| 838 | fprintf(outf, "# (Floquet space)\n"); |
---|
| 839 | } else if (floqs == 2) { |
---|
| 840 | Ring_GetTwiss(false, dp); |
---|
| 841 | fprintf(outf, "# (Action-Angle variables)\n"); |
---|
| 842 | } |
---|
| 843 | fprintf(outf, "#\n"); |
---|
| 844 | fprintf(outf, "#%3d%6ld% .1E% .1E% .1E% .1E% 7.5f% 7.5f\n", 1, nmax, 1e0, |
---|
| 845 | 1e0, 0e0, 0e0, globval.TotalTune[0], globval.TotalTune[1]); |
---|
| 846 | if (floqs == 0) { |
---|
| 847 | fprintf(outf, |
---|
| 848 | "# N x p_x y p_y"); |
---|
| 849 | fprintf(outf, " delta cdt\n"); |
---|
| 850 | fprintf(outf, "# [mm] [mrad]" |
---|
| 851 | " [mm] [mrad]"); |
---|
| 852 | } else if (floqs == 1) { |
---|
| 853 | fprintf(outf, "# N x^ px^ y^ py^"); |
---|
| 854 | fprintf(outf, " delta cdt"); |
---|
| 855 | fprintf(outf, "# " |
---|
| 856 | " "); |
---|
| 857 | } else if (floqs == 2) { |
---|
| 858 | fprintf(outf, |
---|
| 859 | "# N 2Jx phi_x 2Jy phi_y"); |
---|
| 860 | fprintf(outf, " delta cdt\n"); |
---|
| 861 | fprintf(outf, "# " |
---|
| 862 | " "); |
---|
| 863 | } |
---|
| 864 | if (f_rf == 0.0) { |
---|
| 865 | fprintf(outf, " [%%] [mm]\n"); |
---|
| 866 | fprintf(outf, "#\n"); |
---|
| 867 | fprintf(outf, "%4d %23.16e %23.16e %23.16e %23.16e %23.16e %23.16e\n", |
---|
| 868 | 0, scl_1 * ic1, scl_2 * ic2, scl_1 * ic3, scl_2 * ic4, |
---|
| 869 | 1e2 * dp, 1e3 * globval.CODvect[ct_]); |
---|
| 870 | } else { |
---|
| 871 | fprintf(outf, " [%%] [deg]\n"); |
---|
| 872 | fprintf(outf, "#\n"); |
---|
| 873 | fprintf(outf, "%4d %23.16e %23.16e %23.16e %23.16e %23.16e %23.16e\n", |
---|
| 874 | 0, scl_1 * ic1, scl_2 * ic2, scl_1 * ic3, scl_2 * ic4, |
---|
| 875 | 1e2 * dp, 2.0 * f_rf * 180.0 * globval.CODvect[ct_] / c0); |
---|
| 876 | } |
---|
| 877 | x2[x_] = x0[x_] + globval.CODvect[x_]; |
---|
| 878 | x2[px_] = x0[px_] + globval.CODvect[px_]; |
---|
| 879 | x2[y_] = x0[y_] + globval.CODvect[y_]; |
---|
| 880 | x2[py_] = x0[py_] + globval.CODvect[py_]; |
---|
| 881 | if (globval.Cavity_on) { |
---|
| 882 | x2[delta_] = dp + globval.CODvect[delta_]; |
---|
| 883 | x2[ct_] = globval.CODvect[ct_]; |
---|
| 884 | } else { |
---|
| 885 | x2[delta_] = dp; |
---|
| 886 | x2[ct_] = 0.0; |
---|
| 887 | } |
---|
| 888 | |
---|
| 889 | lastn = 0; |
---|
| 890 | |
---|
| 891 | if (prt) { |
---|
| 892 | printf("\n"); |
---|
| 893 | printf("track:\n"); |
---|
| 894 | printf("%4ld %7.3f %7.3f %7.3f %7.3f %7.3f %7.3f\n", lastn, 1e3 |
---|
| 895 | * x2[x_], 1e3 * x2[px_], 1e3 * x2[y_], 1e3 * x2[py_], 1e2 |
---|
| 896 | * x2[delta_], 1e3 * x2[ct_]); |
---|
| 897 | } |
---|
| 898 | |
---|
| 899 | if (globval.MatMeth) |
---|
| 900 | Cell_Concat(dp); |
---|
| 901 | |
---|
| 902 | do { |
---|
| 903 | (lastn)++; |
---|
| 904 | for (i = 0; i < nv_; i++) |
---|
| 905 | x1[i] = x2[i]; |
---|
| 906 | |
---|
| 907 | if (globval.MatMeth) { |
---|
| 908 | Cell_fPass(x2, lastpos); |
---|
| 909 | } else { |
---|
| 910 | Cell_Pass(0, globval.Cell_nLoc, x2, lastpos); |
---|
| 911 | } |
---|
| 912 | |
---|
| 913 | for (i = x_; i <= py_; i++) |
---|
| 914 | xf[i] = x2[i] - globval.CODvect[i]; |
---|
| 915 | |
---|
| 916 | for (i = delta_; i <= ct_; i++) |
---|
| 917 | if (globval.Cavity_on && (i != ct_)) |
---|
| 918 | xf[i] = x2[i] - globval.CODvect[i]; |
---|
| 919 | else |
---|
| 920 | xf[i] = x2[i]; |
---|
| 921 | |
---|
| 922 | if (floqs == 1) |
---|
| 923 | getfloqs(xf); |
---|
| 924 | else if (floqs == 2) { |
---|
| 925 | getfloqs(xf); |
---|
| 926 | twoJx = pow(xf[x_], 2) + pow(xf[px_], 2); |
---|
| 927 | twoJy = pow(xf[y_], 2) + pow(xf[py_], 2); |
---|
| 928 | phix = atan2(xf[px_], xf[x_]); |
---|
| 929 | phiy = atan2(xf[py_], xf[y_]); |
---|
| 930 | xf[x_] = twoJx; |
---|
| 931 | xf[px_] = phix; |
---|
| 932 | xf[y_] = twoJy; |
---|
| 933 | xf[py_] = phiy; |
---|
| 934 | } |
---|
| 935 | if (f_rf == 0.0) |
---|
| 936 | fprintf( |
---|
| 937 | outf, |
---|
| 938 | "%4ld %23.16le %23.16le %23.16le %23.16le %23.16le %23.16le\n", |
---|
| 939 | lastn, scl_1 * xf[0], scl_2 * xf[1], scl_1 * xf[2], scl_2 |
---|
| 940 | * xf[3], 1e2 * xf[4], 1e3 * xf[5]); |
---|
| 941 | else |
---|
| 942 | fprintf( |
---|
| 943 | outf, |
---|
| 944 | "%4ld %23.16le %23.16le %23.16le %23.16le %23.16le %23.16le\n", |
---|
| 945 | lastn, scl_1 * xf[0], scl_2 * xf[1], scl_1 * xf[2], scl_2 |
---|
| 946 | * xf[3], 1e2 * xf[4], 2.0 * f_rf * 180.0 * xf[5] |
---|
| 947 | / c0); |
---|
| 948 | } while ((lastn != nmax) && (lastpos == globval.Cell_nLoc)); |
---|
| 949 | |
---|
| 950 | if (globval.MatMeth) |
---|
| 951 | Cell_Pass(0, globval.Cell_nLoc, x1, lastpos); |
---|
| 952 | |
---|
| 953 | fclose(outf); |
---|
| 954 | } |
---|
| 955 | |
---|
| 956 | #undef ntrack |
---|
| 957 | |
---|
[11] | 958 | /******************************************************************************* |
---|
| 959 | * |
---|
| 960 | * |
---|
| 961 | * |
---|
| 962 | * |
---|
| 963 | ******************************************************************************/ |
---|
[3] | 964 | #define step 0.1 |
---|
| 965 | #define px 0.0 |
---|
| 966 | #define py 0.0 |
---|
| 967 | void track_(double r, struct LOC_getdynap *LINK) { |
---|
[11] | 968 | long i=0L, lastn=0L, lastpos=0L; |
---|
[3] | 969 | Vector x; |
---|
| 970 | |
---|
| 971 | x[0] = r * cos(LINK->phi); |
---|
| 972 | x[1] = px; |
---|
| 973 | x[2] = r * sin(LINK->phi); |
---|
| 974 | x[3] = py; |
---|
| 975 | x[4] = LINK->delta; |
---|
| 976 | x[5] = 0.0; |
---|
| 977 | /* transform to phase space */ |
---|
| 978 | if (LINK->floqs) { |
---|
| 979 | LinTrans(5, globval.Ascr, x); |
---|
| 980 | } |
---|
| 981 | for (i = 0; i <= 3; i++) |
---|
| 982 | x[i] += globval.CODvect[i]; |
---|
| 983 | lastn = 0; |
---|
| 984 | do { |
---|
| 985 | lastn++; |
---|
| 986 | if (globval.MatMeth) { |
---|
| 987 | Cell_fPass(x, lastpos); |
---|
| 988 | } else { |
---|
| 989 | Cell_Pass(0, globval.Cell_nLoc, x, lastpos); |
---|
| 990 | } |
---|
| 991 | } while (lastn != LINK->nturn && lastpos == globval.Cell_nLoc); |
---|
| 992 | LINK->lost = (lastn != LINK->nturn); |
---|
| 993 | } |
---|
| 994 | #undef step |
---|
| 995 | #undef px |
---|
| 996 | #undef py |
---|
| 997 | |
---|
| 998 | /****************************************************************************/ |
---|
| 999 | /* void Trac(double x, double px, double y, double py, double dp, double ctau, |
---|
| 1000 | long nmax, long pos, long &lastn, long &lastpos, FILE *outf1) |
---|
| 1001 | |
---|
| 1002 | Purpose: |
---|
| 1003 | Single particle tracking w/ respect to the chamber centrum |
---|
| 1004 | Based on the version of tracy 2 in soleillib.c |
---|
| 1005 | Input: |
---|
| 1006 | x, px, y, py 4 transverses coordinates |
---|
| 1007 | ctau c*tau |
---|
| 1008 | dp energy offset |
---|
| 1009 | nmax number of turns |
---|
| 1010 | pos starting position for tracking |
---|
| 1011 | aperture global physical aperture |
---|
| 1012 | |
---|
| 1013 | Output: |
---|
| 1014 | lastn last n (should be nmax if not lost) |
---|
| 1015 | lastpos last position in the ring |
---|
| 1016 | outf1 output file with 6D phase at different pos |
---|
| 1017 | |
---|
| 1018 | Return: |
---|
| 1019 | lastn: last tracking turn that particle is not lost |
---|
| 1020 | lastpos: last element position that particle is not lost |
---|
| 1021 | |
---|
| 1022 | Global variables: |
---|
| 1023 | globval |
---|
| 1024 | |
---|
| 1025 | specific functions: |
---|
| 1026 | Cell_Pass |
---|
| 1027 | |
---|
| 1028 | Comments: |
---|
| 1029 | Absolute TRACKING with respect to the center of the vacuum vessel |
---|
| 1030 | BUG: last printout is wrong because not at pos but at the end of |
---|
| 1031 | the ring |
---|
| 1032 | 26/04/03 print output for phase space is for position pos now |
---|
| 1033 | 01/12/03 tracking from 0 to pos -1L instead of 0 to pos |
---|
| 1034 | (wrong observation point) |
---|
| 1035 | |
---|
| 1036 | 23/07/10 change the call variable in Cell_Pass( ): pos-1L --> pos (L704, L717). |
---|
| 1037 | since the Cell_Pass( ) is tracking from element i0 to i1(tracy 3), and |
---|
| 1038 | the Cell_Pass( ) is tracking from element i0+1L to i1(tracy 2). |
---|
| 1039 | |
---|
| 1040 | ****************************************************************************/ |
---|
| 1041 | void Trac(double x, double px, double y, double py, double dp, double ctau, |
---|
| 1042 | long nmax, long pos, long &lastn, long &lastpos, FILE *outf1) { |
---|
[11] | 1043 | |
---|
| 1044 | bool lostF = true; /* Lost particle Flag */ |
---|
[3] | 1045 | Vector x1; /* tracking coordinates */ |
---|
| 1046 | Vector2 aperture; |
---|
| 1047 | |
---|
| 1048 | /* Compute closed orbit: useful if insertion devices */ |
---|
| 1049 | |
---|
| 1050 | aperture[0] = 1e0; |
---|
| 1051 | aperture[1] = 1e0; |
---|
| 1052 | |
---|
| 1053 | x1[0] = x; |
---|
| 1054 | x1[1] = px; |
---|
| 1055 | x1[2] = y; |
---|
| 1056 | x1[3] = py; |
---|
| 1057 | x1[4] = dp; |
---|
| 1058 | x1[5] = ctau; |
---|
| 1059 | |
---|
| 1060 | lastn = 0L; |
---|
| 1061 | (lastpos) = pos; |
---|
| 1062 | |
---|
| 1063 | if (trace) |
---|
| 1064 | fprintf(outf1, "\n"); |
---|
| 1065 | if (trace) |
---|
| 1066 | fprintf(outf1, |
---|
| 1067 | "%6ld %+10.5e %+10.5e %+10.5e %+10.5e %+10.5e %+10.5e \n", |
---|
| 1068 | lastn, x1[0], x1[1], x1[2], x1[3], x1[4], x1[5]); |
---|
| 1069 | |
---|
| 1070 | // Cell_Pass(pos -1L, globval.Cell_nLoc, x1, lastpos); |
---|
| 1071 | Cell_Pass(pos, globval.Cell_nLoc, x1, lastpos); |
---|
| 1072 | |
---|
| 1073 | if (lastpos == globval.Cell_nLoc) |
---|
| 1074 | do { |
---|
| 1075 | (lastn)++; /* 3) continue tracking for nmax turns*/ |
---|
| 1076 | Cell_Pass(0L, pos - 1L, x1, lastpos); /* 1) check whether particle is stable at element from 0 to pos-1L*/ |
---|
| 1077 | |
---|
| 1078 | if (trace) |
---|
| 1079 | fprintf( |
---|
| 1080 | outf1, |
---|
| 1081 | "%6ld %+10.5e %+10.5e %+10.5e %+10.5e %+10.5e %+10.5e \n", |
---|
| 1082 | lastn, x1[0], x1[1], x1[2], x1[3], x1[4], x1[5]); |
---|
| 1083 | |
---|
| 1084 | if (lastpos == pos - 1L) |
---|
| 1085 | Cell_Pass(pos, globval.Cell_nLoc, x1, lastpos); /* 2) check particle is stable at element from pos to end*/ |
---|
| 1086 | // Cell_Pass(pos-1L,globval.Cell_nLoc, x1, lastpos); |
---|
| 1087 | |
---|
| 1088 | } while (((lastn) < nmax) && ((lastpos) == globval.Cell_nLoc)); |
---|
| 1089 | |
---|
| 1090 | if (lastpos == globval.Cell_nLoc) |
---|
| 1091 | Cell_Pass(0L, pos, x1, lastpos); |
---|
| 1092 | |
---|
| 1093 | if (lastpos != pos) { |
---|
| 1094 | printf("Trac: Particle lost \n"); |
---|
| 1095 | fprintf(stdout, "turn:%6ld plane: %1d" |
---|
| 1096 | " %+10.5g %+10.5g %+10.5g %+10.5g %+10.5g %+10.5g \n", lastn, |
---|
| 1097 | status.lossplane, x1[0], x1[1], x1[2], x1[3], x1[4], x1[5]); |
---|
| 1098 | } |
---|
| 1099 | } |
---|
| 1100 | |
---|
| 1101 | /****************************************************************************/ |
---|
| 1102 | /*bool chk_if_lost(double x0, double y0, double delta, |
---|
| 1103 | long int nturn, bool floqs) |
---|
| 1104 | |
---|
| 1105 | Purpose: |
---|
| 1106 | Binary search for dynamical aperture in Floquet space. |
---|
| 1107 | |
---|
| 1108 | Input: |
---|
| 1109 | none |
---|
| 1110 | |
---|
| 1111 | Output: |
---|
| 1112 | none |
---|
| 1113 | |
---|
| 1114 | Return: |
---|
| 1115 | none |
---|
| 1116 | |
---|
| 1117 | Global variables: |
---|
| 1118 | px_0, py_0 |
---|
| 1119 | |
---|
| 1120 | Specific functions: |
---|
| 1121 | chk_if_lost |
---|
| 1122 | |
---|
| 1123 | Comments: |
---|
| 1124 | none |
---|
| 1125 | |
---|
| 1126 | ****************************************************************************/ |
---|
| 1127 | |
---|
| 1128 | #define nfloq 4 |
---|
| 1129 | bool chk_if_lost(double x0, double y0, double delta, long int nturn, bool floqs) { |
---|
[11] | 1130 | |
---|
| 1131 | long int i=0L, lastn=0L, lastpos=0L; |
---|
[3] | 1132 | Vector x; |
---|
| 1133 | |
---|
| 1134 | bool prt = false; |
---|
| 1135 | |
---|
| 1136 | x[x_] = x0; |
---|
| 1137 | x[px_] = px_0; |
---|
| 1138 | x[y_] = y0; |
---|
| 1139 | x[py_] = py_0; |
---|
| 1140 | x[delta_] = delta; |
---|
| 1141 | x[ct_] = 0.0; |
---|
| 1142 | if (floqs) |
---|
| 1143 | // transform to phase space |
---|
| 1144 | LinTrans(nfloq, globval.Ascr, x); |
---|
| 1145 | for (i = 0; i <= 3; i++) |
---|
| 1146 | x[i] += globval.CODvect[i]; |
---|
| 1147 | |
---|
| 1148 | lastn = 0; |
---|
| 1149 | if (prt) { |
---|
| 1150 | printf("\n"); |
---|
| 1151 | printf("chk_if_lost:\n"); |
---|
| 1152 | printf("%4ld %7.3f %7.3f %7.3f %7.3f %7.3f %7.3f\n", lastn, |
---|
| 1153 | 1e3 * x[x_], 1e3 * x[px_], 1e3 * x[y_], 1e3 * x[py_], 1e2 |
---|
| 1154 | * x[delta_], 1e3 * x[ct_]); |
---|
| 1155 | } |
---|
| 1156 | do { |
---|
| 1157 | lastn++; |
---|
| 1158 | if (globval.MatMeth) |
---|
| 1159 | Cell_fPass(x, lastpos); |
---|
| 1160 | else |
---|
| 1161 | Cell_Pass(0, globval.Cell_nLoc, x, lastpos); |
---|
| 1162 | if (prt) |
---|
| 1163 | printf("%4ld %7.3f %7.3f %7.3f %7.3f %7.3f %7.3f\n", lastn, 1e3 |
---|
| 1164 | * x[x_], 1e3 * x[px_], 1e3 * x[y_], 1e3 * x[py_], 1e2 |
---|
| 1165 | * x[delta_], 1e3 * x[ct_]); |
---|
| 1166 | } while ((lastn != nturn) && (lastpos == globval.Cell_nLoc)); |
---|
| 1167 | return (lastn != nturn); |
---|
| 1168 | } |
---|
| 1169 | #undef nfloq |
---|
| 1170 | |
---|
| 1171 | /****************************************************************************/ |
---|
| 1172 | /* void getdynap(double *r, double phi, double delta, double eps, |
---|
| 1173 | int nturn, bool floqs) |
---|
| 1174 | |
---|
| 1175 | Purpose: |
---|
| 1176 | Binary search for dynamical aperture in Floquet space. |
---|
| 1177 | |
---|
| 1178 | |
---|
| 1179 | Input: |
---|
| 1180 | none |
---|
| 1181 | |
---|
| 1182 | Output: |
---|
| 1183 | none |
---|
| 1184 | |
---|
| 1185 | Return: |
---|
| 1186 | none |
---|
| 1187 | |
---|
| 1188 | Global variables: |
---|
| 1189 | none |
---|
| 1190 | |
---|
| 1191 | Specific functions: |
---|
| 1192 | chk_if_lost |
---|
| 1193 | |
---|
| 1194 | Comments: |
---|
| 1195 | none |
---|
| 1196 | |
---|
| 1197 | ****************************************************************************/ |
---|
| 1198 | void getdynap(double &r, double phi, double delta, double eps, int nturn, |
---|
| 1199 | bool floqs) { |
---|
| 1200 | /* Determine dynamical aperture by binary search. */ |
---|
| 1201 | double rmin = 0.0, rmax = r; |
---|
| 1202 | |
---|
| 1203 | const bool prt = false; |
---|
| 1204 | const double r_reset = 1e-3, r0 = 10e-3; |
---|
| 1205 | |
---|
| 1206 | if (prt) |
---|
| 1207 | printf("\n"); |
---|
| 1208 | |
---|
| 1209 | if (globval.MatMeth) |
---|
| 1210 | Cell_Concat(delta); |
---|
| 1211 | while (!chk_if_lost(rmax * cos(phi), rmax * sin(phi), delta, nturn, floqs)) { |
---|
| 1212 | if (rmax < r_reset) |
---|
| 1213 | rmax = r0; |
---|
| 1214 | rmax *= 2.0; |
---|
| 1215 | } |
---|
| 1216 | while (rmax - rmin >= eps) { |
---|
| 1217 | r = rmin + (rmax - rmin) / 2.0; |
---|
| 1218 | if (prt) |
---|
| 1219 | printf("getdynap: %6.3f %6.3f %6.3f\n", 1e3 * rmin, 1e3 * rmax, 1e3 |
---|
| 1220 | * r); |
---|
| 1221 | if (!chk_if_lost(r * cos(phi), r * sin(phi), delta, nturn, floqs)) |
---|
| 1222 | rmin = r; |
---|
| 1223 | else |
---|
| 1224 | rmax = r; |
---|
| 1225 | if (rmin > rmax) { |
---|
| 1226 | printf("getdynap: rmin > rmax\n"); |
---|
| 1227 | exit_(0); |
---|
| 1228 | } |
---|
| 1229 | |
---|
| 1230 | } |
---|
| 1231 | r = rmin; |
---|
| 1232 | } |
---|
| 1233 | |
---|
| 1234 | /****************************************************************************/ |
---|
| 1235 | /* void getcsAscr(void) |
---|
| 1236 | |
---|
| 1237 | Purpose: |
---|
| 1238 | Get Courant-Snyder Ascr |
---|
| 1239 | |
---|
| 1240 | |
---|
| 1241 | Input: |
---|
| 1242 | none |
---|
| 1243 | |
---|
| 1244 | Output: |
---|
| 1245 | none |
---|
| 1246 | |
---|
| 1247 | Return: |
---|
| 1248 | none |
---|
| 1249 | |
---|
| 1250 | Global variables: |
---|
| 1251 | none |
---|
| 1252 | |
---|
| 1253 | Specific functions: |
---|
| 1254 | none |
---|
| 1255 | |
---|
| 1256 | Comments: |
---|
| 1257 | none |
---|
| 1258 | |
---|
| 1259 | ****************************************************************************/ |
---|
| 1260 | void getcsAscr(void) { |
---|
[11] | 1261 | long i=0L, j=0L; |
---|
| 1262 | double phi=0.0; |
---|
[3] | 1263 | Matrix R; |
---|
| 1264 | |
---|
| 1265 | UnitMat(6, R); |
---|
| 1266 | for (i = 1; i <= 2; i++) { |
---|
| 1267 | phi = -atan2(globval.Ascr[i * 2 - 2][i * 2 - 1], |
---|
| 1268 | globval.Ascr[i * 2 - 2][i * 2 - 2]); |
---|
| 1269 | R[i * 2 - 2][i * 2 - 2] = cos(phi); |
---|
| 1270 | R[i * 2 - 1][i * 2 - 1] = R[i * 2 - 2][i * 2 - 2]; |
---|
| 1271 | R[i * 2 - 2][i * 2 - 1] = sin(phi); |
---|
| 1272 | R[i * 2 - 1][i * 2 - 2] = -R[i * 2 - 2][i * 2 - 1]; |
---|
| 1273 | } |
---|
| 1274 | MulRMat(6, globval.Ascr, R); |
---|
| 1275 | for (i = 1; i <= 2; i++) { |
---|
| 1276 | if (globval.Ascr[i * 2 - 2][i * 2 - 2] < 0.0) { |
---|
| 1277 | for (j = 0; j <= 5; j++) { |
---|
| 1278 | globval.Ascr[j][i * 2 - 2] = -globval.Ascr[j][i * 2 - 2]; |
---|
| 1279 | globval.Ascr[j][i * 2 - 1] = -globval.Ascr[j][i * 2 - 1]; |
---|
| 1280 | } |
---|
| 1281 | } |
---|
| 1282 | } |
---|
| 1283 | if (!InvMat(6, globval.Ascrinv)) |
---|
| 1284 | printf(" *** Ascr is singular\n"); |
---|
| 1285 | } |
---|
| 1286 | |
---|
| 1287 | /**************************************************************************** |
---|
| 1288 | void dynap(FILE *fp, double r, const double delta, const double eps, |
---|
| 1289 | const int npoint, const int nturn, double x[], double y[], |
---|
| 1290 | const bool floqs, const bool print) |
---|
| 1291 | |
---|
| 1292 | Purpose: |
---|
| 1293 | Determine the dynamical aperture by tracking using polar coordinates, |
---|
| 1294 | and sampling in phase. |
---|
| 1295 | Assumes mid-plane symmetry |
---|
| 1296 | Write the dynamic aperture to file "fp" |
---|
| 1297 | |
---|
| 1298 | Input: |
---|
| 1299 | r initial guess |
---|
| 1300 | delta off momentum energy |
---|
| 1301 | eps precision for binary search |
---|
| 1302 | npoint sample number for phase coordinate |
---|
| 1303 | nturn number of turn for computing da |
---|
| 1304 | x[] horizontal dynamics aperture |
---|
| 1305 | y[] vertical dynamics aperture |
---|
| 1306 | floqs true means Floquet space |
---|
| 1307 | print true means Print out to the screen |
---|
| 1308 | |
---|
| 1309 | Output: |
---|
| 1310 | |
---|
| 1311 | |
---|
| 1312 | Return: |
---|
| 1313 | none |
---|
| 1314 | |
---|
| 1315 | Global variables: |
---|
| 1316 | none |
---|
| 1317 | |
---|
| 1318 | Specific functions: |
---|
| 1319 | getdynap |
---|
| 1320 | |
---|
| 1321 | Comments: |
---|
| 1322 | none |
---|
| 1323 | |
---|
| 1324 | ****************************************************************************/ |
---|
| 1325 | void dynap(FILE *fp, double r, const double delta, const double eps, |
---|
| 1326 | const int npoint, const int nturn, double x[], double y[], |
---|
| 1327 | const bool floqs, const bool print) |
---|
| 1328 | |
---|
| 1329 | { |
---|
| 1330 | /* Determine the dynamical aperture by tracking. |
---|
| 1331 | Assumes mid-plane symmetry. */ |
---|
| 1332 | |
---|
[11] | 1333 | long int i=0L, lastpos=0L; |
---|
| 1334 | double phi=0.0, x_min=0.0, x_max=0.0, y_min=0.0, y_max=0.0; |
---|
[3] | 1335 | |
---|
| 1336 | getcod(delta, lastpos); |
---|
| 1337 | if (floqs) { |
---|
| 1338 | Ring_GetTwiss(false, delta); |
---|
| 1339 | if (print) { |
---|
| 1340 | printf("\n"); |
---|
| 1341 | printf("Dynamical Aperture (Floquet space):\n"); |
---|
| 1342 | printf(" x^ y^\n"); |
---|
| 1343 | printf("\n"); |
---|
| 1344 | } |
---|
| 1345 | fprintf(fp, "# Dynamical Aperture (Floquet space):\n"); |
---|
| 1346 | fprintf(fp, "# x^ y^\n"); |
---|
| 1347 | fprintf(fp, "#\n"); |
---|
| 1348 | } else { |
---|
| 1349 | if (print) { |
---|
| 1350 | printf("\n"); |
---|
| 1351 | printf("Dynamical Aperture:\n"); |
---|
| 1352 | printf(" x y\n"); |
---|
| 1353 | printf(" [mm] [mm]\n"); |
---|
| 1354 | printf("\n"); |
---|
| 1355 | } |
---|
| 1356 | fprintf(fp, "# Dynamical Aperture:\n"); |
---|
| 1357 | fprintf(fp, "# x y\n"); |
---|
| 1358 | fprintf(fp, "# [mm] [mm]\n"); |
---|
| 1359 | fprintf(fp, "#\n"); |
---|
| 1360 | } |
---|
| 1361 | |
---|
| 1362 | x_min = 0.0; |
---|
| 1363 | x_max = 0.0; |
---|
| 1364 | y_min = 0.0; |
---|
| 1365 | y_max = 0.0; |
---|
| 1366 | for (i = 0; i < npoint; i++) { |
---|
| 1367 | phi = i * M_PI / (npoint - 1); |
---|
| 1368 | if (i == 0) |
---|
| 1369 | phi = 1e-3; |
---|
| 1370 | else if (i == npoint - 1) |
---|
| 1371 | phi -= 1e-3; |
---|
| 1372 | getdynap(r, phi, delta, eps, nturn, floqs); |
---|
| 1373 | x[i] = r * cos(phi); |
---|
| 1374 | y[i] = r * sin(phi); |
---|
| 1375 | x_min = min(x[i], x_min); |
---|
| 1376 | x_max = max(x[i], x_max); |
---|
| 1377 | y_min = min(y[i], y_min); |
---|
| 1378 | y_max = max(y[i], y_max); |
---|
| 1379 | if (!floqs) { |
---|
| 1380 | if (print) |
---|
| 1381 | printf(" %6.2f %6.2f\n", 1e3 * x[i], 1e3 * y[i]); |
---|
| 1382 | fprintf(fp, " %6.2f %6.2f\n", 1e3 * x[i], 1e3 * y[i]); |
---|
| 1383 | } else { |
---|
| 1384 | if (print) |
---|
| 1385 | printf(" %10.3e %10.3e\n", x[i], y[i]); |
---|
| 1386 | fprintf(fp, " %10.3e %10.3e\n", x[i], y[i]); |
---|
| 1387 | } |
---|
| 1388 | fflush(fp); |
---|
| 1389 | } |
---|
| 1390 | |
---|
| 1391 | if (print) { |
---|
| 1392 | printf("\n"); |
---|
| 1393 | printf(" x^: %6.2f - %5.2f y^: %6.2f - %5.2f mm\n", 1e3 * x_min, 1e3 |
---|
| 1394 | * x_max, 1e3 * y_min, 1e3 * y_max); |
---|
| 1395 | } |
---|
| 1396 | } |
---|
| 1397 | |
---|
| 1398 | /****************************************************************************/ |
---|
| 1399 | /* double get_aper(int n, double x[], double y[]) |
---|
| 1400 | |
---|
| 1401 | Purpose: |
---|
| 1402 | |
---|
| 1403 | |
---|
| 1404 | Input: |
---|
| 1405 | none |
---|
| 1406 | |
---|
| 1407 | Output: |
---|
| 1408 | none |
---|
| 1409 | |
---|
| 1410 | Return: |
---|
| 1411 | none |
---|
| 1412 | |
---|
| 1413 | Global variables: |
---|
| 1414 | none |
---|
| 1415 | |
---|
| 1416 | Specific functions: |
---|
| 1417 | none |
---|
| 1418 | |
---|
| 1419 | Comments: |
---|
| 1420 | none |
---|
| 1421 | |
---|
| 1422 | ****************************************************************************/ |
---|
| 1423 | double get_aper(int n, double x[], double y[]) { |
---|
[11] | 1424 | int i=0; |
---|
| 1425 | double A=0.0; |
---|
[3] | 1426 | |
---|
| 1427 | A = 0.0; |
---|
| 1428 | for (i = 2; i <= n; i++) |
---|
| 1429 | A += x[i - 2] * y[i - 1] - x[i - 1] * y[i - 2]; |
---|
| 1430 | A += x[n - 1] * y[0] - x[0] * y[n - 1]; |
---|
| 1431 | // x2 from mid-plane symmetry |
---|
| 1432 | A = fabs(A); |
---|
| 1433 | // printf("\n"); |
---|
| 1434 | // printf(" Dyn. Aper.: %5.1f mm^2\n", 1e6*A); |
---|
| 1435 | return (A); |
---|
| 1436 | } |
---|
| 1437 | |
---|
[11] | 1438 | /************************************************************************** |
---|
| 1439 | * void GetTrack(const char *file_name, long *n, double x[], double px[], |
---|
| 1440 | double y[], double py[]) |
---|
| 1441 | * |
---|
| 1442 | * |
---|
| 1443 | * |
---|
| 1444 | **************************************************************************/ |
---|
[3] | 1445 | void GetTrack(const char *file_name, long *n, double x[], double px[], |
---|
| 1446 | double y[], double py[]) { |
---|
[11] | 1447 | int k=0; |
---|
[3] | 1448 | char line[200]; |
---|
| 1449 | FILE *inf; |
---|
| 1450 | |
---|
| 1451 | inf = file_read(file_name); |
---|
| 1452 | |
---|
| 1453 | do { |
---|
| 1454 | fgets(line, 200, inf); |
---|
| 1455 | } while (strstr(line, "#") != NULL); |
---|
| 1456 | |
---|
| 1457 | // skip initial conditions |
---|
| 1458 | fgets(line, 200, inf); |
---|
| 1459 | |
---|
| 1460 | do { |
---|
| 1461 | sscanf(line, "%d", &k); |
---|
| 1462 | sscanf(line, "%*d %lf %lf %lf %lf", &x[k - 1], &px[k - 1], &y[k - 1], |
---|
| 1463 | &py[k - 1]); |
---|
| 1464 | } while (fgets(line, 200, inf) != NULL); |
---|
| 1465 | |
---|
| 1466 | *n = k; |
---|
| 1467 | |
---|
| 1468 | fclose(inf); |
---|
| 1469 | } |
---|
| 1470 | |
---|
| 1471 | /****************************************************************************/ |
---|
| 1472 | /* void Getj(long n, double *x, double *px, double *y, double *py) |
---|
| 1473 | |
---|
| 1474 | Purpose: |
---|
| 1475 | Calculates the linear invariant |
---|
| 1476 | |
---|
| 1477 | Input: |
---|
| 1478 | none |
---|
| 1479 | |
---|
| 1480 | Output: |
---|
| 1481 | none |
---|
| 1482 | |
---|
| 1483 | Return: |
---|
| 1484 | none |
---|
| 1485 | |
---|
| 1486 | Global variables: |
---|
| 1487 | none |
---|
| 1488 | |
---|
| 1489 | Specific functions: |
---|
| 1490 | none |
---|
| 1491 | |
---|
| 1492 | Comments: |
---|
| 1493 | none |
---|
| 1494 | |
---|
| 1495 | ****************************************************************************/ |
---|
| 1496 | void Getj(long n, double *x, double *px, double *y, double *py) { |
---|
[11] | 1497 | long int i=0L; |
---|
[3] | 1498 | |
---|
| 1499 | for (i = 0; i < n; i++) { |
---|
| 1500 | x[i] = (pow(x[i], 2) + pow(px[i], 2)) / 2.0; |
---|
| 1501 | y[i] = (pow(y[i], 2) + pow(py[i], 2)) / 2.0; |
---|
| 1502 | } |
---|
| 1503 | } |
---|
| 1504 | |
---|
| 1505 | /****************************************************************************/ |
---|
| 1506 | /* double GetArg(double x, double px, double nu) |
---|
| 1507 | |
---|
| 1508 | Purpose: |
---|
| 1509 | get argument of x |
---|
| 1510 | |
---|
| 1511 | Input: |
---|
| 1512 | none |
---|
| 1513 | |
---|
| 1514 | Output: |
---|
| 1515 | none |
---|
| 1516 | |
---|
| 1517 | Return: |
---|
| 1518 | none |
---|
| 1519 | |
---|
| 1520 | Global variables: |
---|
| 1521 | none |
---|
| 1522 | |
---|
| 1523 | Specific functions: |
---|
| 1524 | none |
---|
| 1525 | |
---|
| 1526 | Comments: |
---|
| 1527 | 17/07/03 use M_PI instead of pi |
---|
| 1528 | |
---|
| 1529 | ****************************************************************************/ |
---|
| 1530 | double GetArg(double x, double px, double nu) { |
---|
[11] | 1531 | |
---|
| 1532 | double phi=0.0, val=0.0; |
---|
[3] | 1533 | |
---|
| 1534 | phi = GetAngle(x, px); |
---|
| 1535 | if (phi < 0.0) |
---|
| 1536 | phi += 2.0 * M_PI; |
---|
| 1537 | val = phi + Fract(nu) * 2.0 * M_PI; |
---|
| 1538 | if (val < 0.0) |
---|
| 1539 | val += 2.0 * M_PI; |
---|
| 1540 | return val; |
---|
| 1541 | } |
---|
| 1542 | |
---|
| 1543 | /****************************************************************************/ |
---|
| 1544 | /* void GetPhi(long n, double *x, double *px, double *y, double *py) |
---|
| 1545 | |
---|
| 1546 | Purpose: |
---|
| 1547 | get linear phases |
---|
| 1548 | |
---|
| 1549 | Input: |
---|
| 1550 | none |
---|
| 1551 | |
---|
| 1552 | Output: |
---|
| 1553 | none |
---|
| 1554 | |
---|
| 1555 | Return: |
---|
| 1556 | none |
---|
| 1557 | |
---|
| 1558 | Global variables: |
---|
| 1559 | none |
---|
| 1560 | |
---|
| 1561 | Specific functions: |
---|
| 1562 | none |
---|
| 1563 | |
---|
| 1564 | Comments: |
---|
| 1565 | none |
---|
| 1566 | |
---|
| 1567 | ****************************************************************************/ |
---|
| 1568 | void GetPhi(long n, double *x, double *px, double *y, double *py) { |
---|
| 1569 | /* Calculates the linear phase */ |
---|
[11] | 1570 | long i=0L; |
---|
[3] | 1571 | |
---|
| 1572 | for (i = 1; i <= n; i++) { |
---|
| 1573 | x[i - 1] = GetArg(x[i - 1], px[i - 1], i * globval.TotalTune[0]); |
---|
| 1574 | y[i - 1] = GetArg(y[i - 1], py[i - 1], i * globval.TotalTune[1]); |
---|
| 1575 | } |
---|
| 1576 | } |
---|
| 1577 | |
---|
| 1578 | /*********************************/ |
---|
| 1579 | /* Routines for Fourier analysis */ |
---|
| 1580 | /*********************************/ |
---|
| 1581 | |
---|
| 1582 | void Sinfft(int n, double xr[]) { |
---|
| 1583 | /* DFT with sine window */ |
---|
[11] | 1584 | int i=0; |
---|
[3] | 1585 | double xi[n]; |
---|
| 1586 | |
---|
| 1587 | for (i = 0; i < n; i++) { |
---|
| 1588 | xr[i] = sin((double) i / (double) n * M_PI) * xr[i]; |
---|
| 1589 | xi[i] = 0.0; |
---|
| 1590 | } |
---|
| 1591 | FFT(n, xr, xi); |
---|
| 1592 | for (i = 0; i < n; i++) |
---|
| 1593 | xr[i] = sqrt(xr[i] * xr[i] + xi[i] * xi[i]); |
---|
| 1594 | } |
---|
| 1595 | |
---|
| 1596 | void sin_FFT(int n, double xr[]) { |
---|
| 1597 | /* DFT with sine window */ |
---|
| 1598 | int i; |
---|
| 1599 | double *xi; |
---|
| 1600 | |
---|
| 1601 | xi = dvector(1, 2 * n); |
---|
| 1602 | |
---|
| 1603 | for (i = 1; i <= n; i++) { |
---|
| 1604 | xi[2 * i - 1] = sin((double) i / n * M_PI) * xr[i - 1]; |
---|
| 1605 | xi[2 * i] = 0.0; |
---|
| 1606 | } |
---|
| 1607 | dfour1(xi, (unsigned long) n, 1); |
---|
| 1608 | for (i = 1; i <= n; i++) |
---|
| 1609 | xr[i - 1] = sqrt(pow(xi[2 * i - 1], 2) + pow(xi[2 * i], 2)) * 2.0 / n; |
---|
| 1610 | |
---|
| 1611 | free_dvector(xi, 1, 2 * n); |
---|
| 1612 | } |
---|
[11] | 1613 | /******************************************************************************* |
---|
| 1614 | * |
---|
| 1615 | * |
---|
| 1616 | * |
---|
| 1617 | * |
---|
| 1618 | ******************************************************************************/ |
---|
[3] | 1619 | void sin_FFT(int n, double xr[], double xi[]) { |
---|
| 1620 | /* DFT with sine window */ |
---|
[11] | 1621 | int i=0; |
---|
[3] | 1622 | double *xri; |
---|
| 1623 | |
---|
| 1624 | xri = dvector(1, 2 * n); |
---|
| 1625 | |
---|
| 1626 | for (i = 1; i <= n; i++) { |
---|
| 1627 | xri[2 * i - 1] = sin((double) i / n * M_PI) * xr[i - 1]; |
---|
| 1628 | xri[2 * i] = sin((double) i / n * M_PI) * xi[i - 1]; |
---|
| 1629 | } |
---|
| 1630 | dfour1(xri, (unsigned long) n, 1); |
---|
| 1631 | for (i = 1; i <= n; i++) { |
---|
| 1632 | xr[i - 1] = sqrt(pow(xri[2 * i - 1], 2) + pow(xri[2 * i], 2)) * 2.0 / n; |
---|
| 1633 | xi[i - 1] = atan2(xri[2 * i], xri[2 * i - 1]); |
---|
| 1634 | } |
---|
| 1635 | |
---|
| 1636 | free_dvector(xri, 1, 2 * n); |
---|
| 1637 | } |
---|
[11] | 1638 | /******************************************************************************* |
---|
| 1639 | * |
---|
| 1640 | * |
---|
| 1641 | * |
---|
| 1642 | * |
---|
| 1643 | ******************************************************************************/ |
---|
[3] | 1644 | void GetInd(int n, int k, int *ind1, int *ind3) { |
---|
| 1645 | if (k == 1) { |
---|
| 1646 | *ind1 = 2; |
---|
| 1647 | *ind3 = 2; |
---|
| 1648 | } else if (k == n / 2 + 1) { |
---|
| 1649 | *ind1 = n / 2; |
---|
| 1650 | *ind3 = n / 2; |
---|
| 1651 | } else { |
---|
| 1652 | *ind1 = k - 1; |
---|
| 1653 | *ind3 = k + 1; |
---|
| 1654 | } |
---|
| 1655 | } |
---|
[11] | 1656 | /******************************************************************************* |
---|
| 1657 | * |
---|
| 1658 | * |
---|
| 1659 | * |
---|
| 1660 | * |
---|
| 1661 | ******************************************************************************/ |
---|
[3] | 1662 | void GetInd1(int n, int k, int *ind1, int *ind3) { |
---|
| 1663 | if (k == 1) { |
---|
| 1664 | *ind1 = 2; |
---|
| 1665 | *ind3 = 2; |
---|
| 1666 | } else if (k == n) { |
---|
| 1667 | *ind1 = n - 1; |
---|
| 1668 | *ind3 = n - 1; |
---|
| 1669 | } else { |
---|
| 1670 | *ind1 = k - 1; |
---|
| 1671 | *ind3 = k + 1; |
---|
| 1672 | } |
---|
| 1673 | } |
---|
[11] | 1674 | /******************************************************************************* |
---|
| 1675 | * |
---|
| 1676 | * |
---|
| 1677 | * |
---|
| 1678 | * |
---|
| 1679 | ******************************************************************************/ |
---|
[3] | 1680 | void GetPeak(int n, double *x, int *k) { |
---|
| 1681 | /* Locate peak in DFT spectrum */ |
---|
[11] | 1682 | int ind1=0, ind2=0, ind3=0; |
---|
| 1683 | double peak=0.0; |
---|
[3] | 1684 | |
---|
| 1685 | *k = 1; |
---|
| 1686 | for (ind2 = 1; ind2 <= n / 2 + 1; ind2++) { |
---|
| 1687 | GetInd(n, ind2, &ind1, &ind3); |
---|
| 1688 | if (x[ind2 - 1] > peak && x[ind1 - 1] < x[ind2 - 1] && x[ind3 - 1] |
---|
| 1689 | < x[ind2 - 1]) { |
---|
| 1690 | peak = x[ind2 - 1]; |
---|
| 1691 | *k = ind2; |
---|
| 1692 | } |
---|
| 1693 | } |
---|
| 1694 | } |
---|
[11] | 1695 | /******************************************************************************* |
---|
| 1696 | * |
---|
| 1697 | * |
---|
| 1698 | * |
---|
| 1699 | * |
---|
| 1700 | ******************************************************************************/ |
---|
[3] | 1701 | void GetPeak1(int n, double *x, int *k) { |
---|
| 1702 | /* Locate peak in DFT spectrum */ |
---|
[11] | 1703 | int ind1=0, ind2=0, ind3=0; |
---|
| 1704 | double peak=0.0; |
---|
[3] | 1705 | |
---|
| 1706 | *k = 1; |
---|
| 1707 | for (ind2 = 1; ind2 <= n; ind2++) { |
---|
| 1708 | GetInd1(n, ind2, &ind1, &ind3); |
---|
| 1709 | if (x[ind2 - 1] > peak && x[ind1 - 1] < x[ind2 - 1] && x[ind3 - 1] |
---|
| 1710 | < x[ind2 - 1]) { |
---|
| 1711 | peak = x[ind2 - 1]; |
---|
| 1712 | *k = ind2; |
---|
| 1713 | } |
---|
| 1714 | } |
---|
| 1715 | } |
---|
[11] | 1716 | /******************************************************************************* |
---|
| 1717 | * |
---|
| 1718 | * |
---|
| 1719 | * |
---|
| 1720 | * |
---|
| 1721 | ******************************************************************************/ |
---|
[3] | 1722 | double Int2snu(int n, double *x, int k) { |
---|
| 1723 | /* Get frequency by nonlinear interpolation with two samples |
---|
| 1724 | for sine window. The interpolation is: |
---|
| 1725 | |
---|
| 1726 | 1 2 A(k) 1 |
---|
| 1727 | nu = - [ k - 1 + ------------- - - ] , k-1 <= N nu <= k |
---|
| 1728 | N A(k-1) + A(k) 2 |
---|
| 1729 | */ |
---|
[11] | 1730 | int ind=0, ind1=0, ind3=0; |
---|
| 1731 | double ampl1=0.0, ampl2=0.0; |
---|
[3] | 1732 | |
---|
| 1733 | GetInd(n, k, &ind1, &ind3); |
---|
| 1734 | if (x[ind3 - 1] > x[ind1 - 1]) { |
---|
| 1735 | ampl1 = x[k - 1]; |
---|
| 1736 | ampl2 = x[ind3 - 1]; |
---|
| 1737 | ind = k; |
---|
| 1738 | } else { |
---|
| 1739 | ampl1 = x[ind1 - 1]; |
---|
| 1740 | ampl2 = x[k - 1]; |
---|
| 1741 | /* Interpolate in right direction for 0 frequency */ |
---|
| 1742 | if (k != 1) |
---|
| 1743 | ind = ind1; |
---|
| 1744 | else |
---|
| 1745 | ind = 0; |
---|
| 1746 | } |
---|
| 1747 | /* Avoid division by zero */ |
---|
| 1748 | if (ampl1 + ampl2 != 0.0) |
---|
| 1749 | return ((ind - 1 + 2 * ampl2 / (ampl1 + ampl2) - 0.5) / n); |
---|
| 1750 | else |
---|
| 1751 | return 0.0; |
---|
| 1752 | } |
---|
| 1753 | |
---|
| 1754 | /****************************************************************************/ |
---|
| 1755 | /* double Sinc(double omega) |
---|
| 1756 | |
---|
| 1757 | Purpose: |
---|
| 1758 | |
---|
| 1759 | |
---|
| 1760 | Input: |
---|
| 1761 | none |
---|
| 1762 | |
---|
| 1763 | Output: |
---|
| 1764 | none |
---|
| 1765 | |
---|
| 1766 | Return: |
---|
| 1767 | none |
---|
| 1768 | |
---|
| 1769 | Global variables: |
---|
| 1770 | none |
---|
| 1771 | |
---|
| 1772 | Specific functions: |
---|
| 1773 | none |
---|
| 1774 | |
---|
| 1775 | Comments: |
---|
| 1776 | zero test to be changed numericallywise |
---|
| 1777 | |
---|
| 1778 | ****************************************************************************/ |
---|
| 1779 | double Sinc(double omega) { |
---|
| 1780 | /* Function to calculate: |
---|
| 1781 | |
---|
| 1782 | sin( omega ) |
---|
| 1783 | ------------ |
---|
| 1784 | omega |
---|
| 1785 | */ |
---|
| 1786 | if (omega != 0.0) |
---|
| 1787 | return (sin(omega) / omega); |
---|
| 1788 | else |
---|
| 1789 | return 1.0; |
---|
| 1790 | } |
---|
| 1791 | |
---|
| 1792 | /****************************************************************************/ |
---|
| 1793 | /* double intsampl(long n, double *x, double nu, long k) |
---|
| 1794 | |
---|
| 1795 | Purpose: |
---|
| 1796 | |
---|
| 1797 | |
---|
| 1798 | Input: |
---|
| 1799 | none |
---|
| 1800 | |
---|
| 1801 | Output: |
---|
| 1802 | none |
---|
| 1803 | |
---|
| 1804 | Return: |
---|
| 1805 | none |
---|
| 1806 | |
---|
| 1807 | Global variables: |
---|
| 1808 | none |
---|
| 1809 | |
---|
| 1810 | Specific functions: |
---|
| 1811 | none |
---|
| 1812 | |
---|
| 1813 | Comments: |
---|
| 1814 | 17/07/03 use M_PI instead of pi |
---|
| 1815 | |
---|
| 1816 | ****************************************************************************/ |
---|
| 1817 | double intsampl(int n, double *x, double nu, int k) { |
---|
| 1818 | /* Get amplitude by nonlinear interpolation for sine window. The |
---|
| 1819 | distribution is given by: |
---|
| 1820 | |
---|
| 1821 | 1 sin pi ( k + 1/2 ) sin pi ( k - 1/2 ) |
---|
| 1822 | F(k) = - ( -------------------- + -------------------- ) |
---|
| 1823 | 2 pi ( k + 1/2 ) pi ( k - 1/2 ) |
---|
| 1824 | */ |
---|
[11] | 1825 | double corr=0.0; |
---|
[3] | 1826 | |
---|
| 1827 | corr = (Sinc(M_PI * (k - 1 + 0.5 - nu * n)) + Sinc(M_PI * (k - 1 - 0.5 - nu |
---|
| 1828 | * n))) / 2; |
---|
| 1829 | return (x[k - 1] / corr); |
---|
| 1830 | } |
---|
| 1831 | |
---|
| 1832 | /****************************************************************************/ |
---|
| 1833 | /* double linint(long n, long k, double nu, double *x) |
---|
| 1834 | |
---|
| 1835 | Purpose: |
---|
| 1836 | |
---|
| 1837 | |
---|
| 1838 | Input: |
---|
| 1839 | none |
---|
| 1840 | |
---|
| 1841 | Output: |
---|
| 1842 | none |
---|
| 1843 | |
---|
| 1844 | Return: |
---|
| 1845 | none |
---|
| 1846 | |
---|
| 1847 | Global variables: |
---|
| 1848 | none |
---|
| 1849 | |
---|
| 1850 | Specific functions: |
---|
| 1851 | none |
---|
| 1852 | |
---|
| 1853 | Comments: |
---|
| 1854 | 17/07/03 use M_PI instead of pi |
---|
| 1855 | |
---|
| 1856 | ****************************************************************************/ |
---|
| 1857 | double linint(int n, int k, double nu, double *x) { |
---|
| 1858 | /* Get phase by linear interpolation for rectangular window |
---|
| 1859 | with -pi <= phi <= pi */ |
---|
[11] | 1860 | int i=0; |
---|
| 1861 | double phi=0.0; |
---|
[3] | 1862 | double xr[n], xi[n]; |
---|
| 1863 | |
---|
| 1864 | for (i = 0; i < n; i++) { |
---|
| 1865 | xr[i] = x[i]; |
---|
| 1866 | xi[i] = 0.0; |
---|
| 1867 | } |
---|
| 1868 | FFT(n, xr, xi); |
---|
| 1869 | phi = GetAngle(xr[k - 1], xi[k - 1]) - (n * nu - k + 1) * M_PI; |
---|
| 1870 | if (phi > M_PI) |
---|
| 1871 | phi -= 2.0 * M_PI; |
---|
| 1872 | else if (phi < -M_PI) |
---|
| 1873 | phi += 2.0 * M_PI; |
---|
| 1874 | return phi; |
---|
| 1875 | } |
---|
| 1876 | |
---|
| 1877 | /****************************************************************************/ |
---|
| 1878 | /* void FndRes(struct LOC_findres *LINK) |
---|
| 1879 | |
---|
| 1880 | Purpose: |
---|
| 1881 | |
---|
| 1882 | |
---|
| 1883 | Input: |
---|
| 1884 | none |
---|
| 1885 | |
---|
| 1886 | Output: |
---|
| 1887 | none |
---|
| 1888 | |
---|
| 1889 | Return: |
---|
| 1890 | none |
---|
| 1891 | |
---|
| 1892 | Global variables: |
---|
| 1893 | none |
---|
| 1894 | |
---|
| 1895 | Specific functions: |
---|
| 1896 | none |
---|
| 1897 | |
---|
| 1898 | Comments: |
---|
| 1899 | none |
---|
| 1900 | |
---|
| 1901 | ****************************************************************************/ |
---|
| 1902 | void FndRes(struct LOC_findres *LINK) { |
---|
[11] | 1903 | int i=0, j=0, FORLIM=0, FORLIM1=0; |
---|
| 1904 | double delta=0.0; |
---|
[3] | 1905 | |
---|
| 1906 | FORLIM = LINK->n; |
---|
| 1907 | for (i = 0; i <= FORLIM; i++) { |
---|
| 1908 | FORLIM1 = LINK->n; |
---|
| 1909 | for (j = -LINK->n; j <= FORLIM1; j++) { |
---|
| 1910 | delta = fabs(i * LINK->nux + j * LINK->nuy); |
---|
| 1911 | delta -= (int) delta; |
---|
| 1912 | if (delta > 0.5) |
---|
| 1913 | delta = 1 - delta; |
---|
| 1914 | delta = fabs(delta - LINK->f); |
---|
| 1915 | delta -= (int) delta; |
---|
| 1916 | if (delta > 0.5) |
---|
| 1917 | delta = 1 - delta; |
---|
| 1918 | if (delta < LINK->eps) { |
---|
| 1919 | if (abs(i) + abs(j) < LINK->n && (i != 0 || j >= 0)) { |
---|
| 1920 | LINK->found = true; |
---|
| 1921 | *LINK->nx = i; |
---|
| 1922 | *LINK->ny = j; |
---|
| 1923 | } |
---|
| 1924 | } |
---|
| 1925 | } |
---|
| 1926 | } |
---|
| 1927 | } |
---|
| 1928 | |
---|
| 1929 | /****************************************************************************/ |
---|
| 1930 | /* void FindRes(long n_, double nux_, double nuy_, double f_, |
---|
| 1931 | long *nx_, long *ny_) |
---|
| 1932 | |
---|
| 1933 | Purpose: |
---|
| 1934 | |
---|
| 1935 | |
---|
| 1936 | Input: |
---|
| 1937 | none |
---|
| 1938 | |
---|
| 1939 | Output: |
---|
| 1940 | none |
---|
| 1941 | |
---|
| 1942 | Return: |
---|
| 1943 | none |
---|
| 1944 | |
---|
| 1945 | Global variables: |
---|
| 1946 | none |
---|
| 1947 | |
---|
| 1948 | Specific functions: |
---|
| 1949 | none |
---|
| 1950 | |
---|
| 1951 | Comments: |
---|
| 1952 | none |
---|
| 1953 | |
---|
| 1954 | ****************************************************************************/ |
---|
| 1955 | void FindRes(int n_, double nux_, double nuy_, double f_, int *nx_, int *ny_) { |
---|
| 1956 | /* Match f by a linear combination of nux and nuy */ |
---|
| 1957 | struct LOC_findres V; |
---|
| 1958 | |
---|
| 1959 | V.n = n_; |
---|
| 1960 | V.nux = nux_; |
---|
| 1961 | V.nuy = nuy_; |
---|
| 1962 | V.f = f_; |
---|
| 1963 | V.nx = nx_; |
---|
| 1964 | V.ny = ny_; |
---|
| 1965 | V.found = false; |
---|
| 1966 | V.eps = 0.5e-6; |
---|
| 1967 | do { |
---|
| 1968 | V.eps = 10 * V.eps; |
---|
| 1969 | FndRes(&V); |
---|
| 1970 | } while (!V.found); |
---|
| 1971 | } |
---|
[11] | 1972 | /******************************************************************************* |
---|
| 1973 | * |
---|
| 1974 | * |
---|
| 1975 | * |
---|
| 1976 | * |
---|
| 1977 | ******************************************************************************/ |
---|
[3] | 1978 | void GetPeaks(int n, double *x, int nf, double *nu, double *A) { |
---|
[11] | 1979 | int i=0, k=0, ind1=0, ind3=0; |
---|
[3] | 1980 | |
---|
| 1981 | for (i = 0; i < nf; i++) { |
---|
| 1982 | GetPeak(n, x, &k); |
---|
| 1983 | nu[i] = Int2snu(n, x, k); |
---|
| 1984 | A[i] = intsampl(n, x, nu[i], k); |
---|
| 1985 | /* Make peak flat to allow for new call */ |
---|
| 1986 | GetInd(n, k, &ind1, &ind3); |
---|
| 1987 | if (x[ind1 - 1] > x[ind3 - 1]) |
---|
| 1988 | x[k - 1] = x[ind1 - 1]; |
---|
| 1989 | else |
---|
| 1990 | x[k - 1] = x[ind3 - 1]; |
---|
| 1991 | } |
---|
| 1992 | } |
---|
[11] | 1993 | /******************************************************************************* |
---|
| 1994 | * |
---|
| 1995 | * |
---|
| 1996 | * |
---|
| 1997 | * |
---|
| 1998 | ******************************************************************************/ |
---|
[3] | 1999 | void GetPeaks1(int n, double *x, int nf, double *nu, double *A) { |
---|
[11] | 2000 | int i=0, k=0, ind1=0, ind3=0; |
---|
[3] | 2001 | |
---|
| 2002 | for (i = 0; i < nf; i++) { |
---|
| 2003 | GetPeak1(n, x, &k); |
---|
| 2004 | nu[i] = Int2snu(n, x, k); |
---|
| 2005 | A[i] = intsampl(n, x, nu[i], k); |
---|
| 2006 | /* Make peak flat to allow for new call */ |
---|
| 2007 | GetInd1(n, k, &ind1, &ind3); |
---|
| 2008 | if (x[ind1 - 1] > x[ind3 - 1]) |
---|
| 2009 | x[k - 1] = x[ind1 - 1]; |
---|
| 2010 | else |
---|
| 2011 | x[k - 1] = x[ind3 - 1]; |
---|
| 2012 | } |
---|
| 2013 | } |
---|
| 2014 | |
---|
| 2015 | /*******************************/ |
---|
| 2016 | /* Routines for magnetic error */ |
---|
| 2017 | /*******************************/ |
---|
| 2018 | |
---|
| 2019 | void SetTol(int Fnum, double dxrms, double dyrms, double drrms) { |
---|
[11] | 2020 | int i=0; |
---|
| 2021 | long k=0L; |
---|
[3] | 2022 | |
---|
| 2023 | for (i = 1; i <= GetnKid(Fnum); i++) { |
---|
| 2024 | k = Elem_GetPos(Fnum, i); |
---|
| 2025 | Cell[k].Elem.M->PdSrms[X_] = dxrms; |
---|
| 2026 | Cell[k].Elem.M->PdSrnd[X_] = normranf(); |
---|
| 2027 | Cell[k].Elem.M->PdSrms[Y_] = dyrms; |
---|
| 2028 | Cell[k].Elem.M->PdSrnd[Y_] = normranf(); |
---|
| 2029 | Cell[k].Elem.M->PdTrms = drrms; |
---|
| 2030 | Cell[k].Elem.M->PdTrnd = normranf(); |
---|
| 2031 | Mpole_SetdS(Fnum, i); |
---|
| 2032 | Mpole_SetdT(Fnum, i); |
---|
| 2033 | } |
---|
| 2034 | } |
---|
[11] | 2035 | /******************************************************************************* |
---|
| 2036 | * |
---|
| 2037 | * |
---|
| 2038 | * |
---|
| 2039 | * |
---|
| 2040 | ******************************************************************************/ |
---|
[3] | 2041 | void Scale_Tol(int Fnum, double dxrms, double dyrms, double drrms) { |
---|
[11] | 2042 | int Knum=0; |
---|
| 2043 | long int loc=0L; |
---|
[3] | 2044 | |
---|
| 2045 | for (Knum = 1; Knum <= GetnKid(Fnum); Knum++) { |
---|
| 2046 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2047 | Cell[loc].Elem.M->PdSrms[X_] = dxrms; |
---|
| 2048 | Cell[loc].Elem.M->PdSrms[Y_] = dyrms; |
---|
| 2049 | Cell[loc].Elem.M->PdTrms = drrms; |
---|
| 2050 | Mpole_SetdS(Fnum, Knum); |
---|
| 2051 | Mpole_SetdT(Fnum, Knum); |
---|
| 2052 | } |
---|
| 2053 | } |
---|
| 2054 | |
---|
| 2055 | /****************************************************************************/ |
---|
| 2056 | /* void SetaTol(int Fnum, int Knum, double dx, double dy, double dr) |
---|
| 2057 | |
---|
| 2058 | Purpose: |
---|
| 2059 | Set a known random multipole displacement error |
---|
| 2060 | |
---|
| 2061 | Input: |
---|
| 2062 | none |
---|
| 2063 | |
---|
| 2064 | Output: |
---|
| 2065 | none |
---|
| 2066 | |
---|
| 2067 | Return: |
---|
| 2068 | none |
---|
| 2069 | |
---|
| 2070 | Global variables: |
---|
| 2071 | none |
---|
| 2072 | |
---|
| 2073 | Specific functions: |
---|
| 2074 | none |
---|
| 2075 | |
---|
| 2076 | Comments: |
---|
| 2077 | none |
---|
| 2078 | |
---|
| 2079 | ****************************************************************************/ |
---|
| 2080 | void SetaTol(int Fnum, int Knum, double dx, double dy, double dr) { |
---|
[11] | 2081 | long int loc=0L; |
---|
[3] | 2082 | |
---|
| 2083 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2084 | Cell[loc].Elem.M->PdSrms[0] = dx; |
---|
| 2085 | Cell[loc].Elem.M->PdSrnd[0] = 1e0; |
---|
| 2086 | Cell[loc].Elem.M->PdSrms[1] = dy; |
---|
| 2087 | Cell[loc].Elem.M->PdSrnd[1] = 1e0; |
---|
| 2088 | Cell[loc].Elem.M->PdTrms = dr; |
---|
| 2089 | Cell[loc].Elem.M->PdTrnd = 1e0; |
---|
| 2090 | Mpole_SetdS(Fnum, Knum); |
---|
| 2091 | Mpole_SetdT(Fnum, Knum); |
---|
| 2092 | } |
---|
[11] | 2093 | /******************************************************************************* |
---|
| 2094 | * |
---|
| 2095 | * |
---|
| 2096 | * |
---|
| 2097 | * |
---|
| 2098 | ******************************************************************************/ |
---|
[3] | 2099 | void ini_aper(const double Dxmin, const double Dxmax, const double Dymin, |
---|
| 2100 | const double Dymax) { |
---|
[11] | 2101 | int k=0; |
---|
[3] | 2102 | |
---|
| 2103 | for (k = 0; k <= globval.Cell_nLoc; k++) { |
---|
| 2104 | Cell[k].maxampl[X_][0] = Dxmin; |
---|
| 2105 | Cell[k].maxampl[X_][1] = Dxmax; |
---|
| 2106 | Cell[k].maxampl[Y_][0] = Dymin; |
---|
| 2107 | Cell[k].maxampl[Y_][1] = Dymax; |
---|
| 2108 | } |
---|
| 2109 | } |
---|
[11] | 2110 | /******************************************************************************* |
---|
| 2111 | * |
---|
| 2112 | * |
---|
| 2113 | * |
---|
| 2114 | * |
---|
| 2115 | ******************************************************************************/ |
---|
[3] | 2116 | void set_aper(const int Fnum, const double Dxmin, const double Dxmax, |
---|
| 2117 | const double Dymin, const double Dymax) { |
---|
[11] | 2118 | int i=0; |
---|
| 2119 | long int loc=0L; |
---|
[3] | 2120 | |
---|
| 2121 | for (i = 1; i <= GetnKid(Fnum); i++) { |
---|
| 2122 | loc = Elem_GetPos(Fnum, i); |
---|
| 2123 | Cell[loc].maxampl[X_][0] = Dxmin; |
---|
| 2124 | Cell[loc].maxampl[X_][1] = Dxmax; |
---|
| 2125 | Cell[loc].maxampl[Y_][0] = Dymin; |
---|
| 2126 | Cell[loc].maxampl[Y_][1] = Dymax; |
---|
| 2127 | } |
---|
| 2128 | } |
---|
[11] | 2129 | /************************************************* |
---|
| 2130 | * void LoadApertures(const char *ChamberFileName) |
---|
| 2131 | * |
---|
| 2132 | * |
---|
| 2133 | * |
---|
| 2134 | **************************************************/ |
---|
[3] | 2135 | void LoadApertures(const char *ChamberFileName) { |
---|
| 2136 | char line[128], FamName[32]; |
---|
[11] | 2137 | long Fnum=0L; |
---|
| 2138 | double Xmin=0.0, Xmax=0.0, Ymin=0.0, Ymax=0.0; |
---|
[3] | 2139 | FILE *ChamberFile; |
---|
| 2140 | |
---|
| 2141 | ChamberFile = file_read(ChamberFileName); |
---|
| 2142 | |
---|
| 2143 | do |
---|
| 2144 | fgets(line, 128, ChamberFile); |
---|
| 2145 | while (strstr(line, "#") != NULL); |
---|
| 2146 | |
---|
| 2147 | do { |
---|
| 2148 | sscanf(line, "%s %lf %lf %lf %lf", FamName, &Xmin, &Xmax, &Ymin, &Ymax); |
---|
| 2149 | Fnum = ElemIndex(FamName); |
---|
| 2150 | if (Fnum > 0) |
---|
| 2151 | set_aper(Fnum, Xmin, Xmax, Ymin, Ymax); |
---|
| 2152 | } while (fgets(line, 128, ChamberFile) != NULL); |
---|
| 2153 | |
---|
| 2154 | fclose(ChamberFile); |
---|
| 2155 | } |
---|
[11] | 2156 | /********************************************************************************** |
---|
| 2157 | * void LoadTolerances(const char *TolFileName) |
---|
| 2158 | * |
---|
| 2159 | * |
---|
| 2160 | * |
---|
| 2161 | **********************************************************************************/ |
---|
[3] | 2162 | // Load tolerances from the file |
---|
| 2163 | void LoadTolerances(const char *TolFileName) { |
---|
| 2164 | char line[128], FamName[32]; |
---|
[11] | 2165 | int Fnum=0; |
---|
| 2166 | double dx=0.0, dy=0.0, dr=0.0; |
---|
[3] | 2167 | FILE *tolfile; |
---|
| 2168 | |
---|
| 2169 | tolfile = file_read(TolFileName); |
---|
[11] | 2170 | if(tolfile == NULL){ |
---|
| 2171 | printf("LoadTolerances(): Error! Failure to read file: %s \n",TolFileName); |
---|
| 2172 | exit_(1); |
---|
| 2173 | } |
---|
[3] | 2174 | |
---|
| 2175 | do |
---|
| 2176 | fgets(line, 128, tolfile); |
---|
| 2177 | while (strstr(line, "#") != NULL); |
---|
| 2178 | |
---|
| 2179 | do { |
---|
| 2180 | if (strstr(line, "#") == NULL) { |
---|
| 2181 | sscanf(line, "%s %lf %lf %lf", FamName, &dx, &dy, &dr); |
---|
| 2182 | Fnum = ElemIndex(FamName); |
---|
| 2183 | if (Fnum > 0) { |
---|
| 2184 | SetTol(Fnum, dx, dy, dr); |
---|
| 2185 | } else { |
---|
| 2186 | printf("LoadTolerances: undefined element %s\n", FamName); |
---|
| 2187 | exit_(1); |
---|
| 2188 | } |
---|
| 2189 | } |
---|
| 2190 | } while (fgets(line, 128, tolfile) != NULL); |
---|
| 2191 | |
---|
| 2192 | fclose(tolfile); |
---|
| 2193 | } |
---|
| 2194 | |
---|
[11] | 2195 | /************************************************************************************** |
---|
| 2196 | * void ScaleTolerances(const char *TolFileName, const double scl) |
---|
| 2197 | * |
---|
| 2198 | * |
---|
| 2199 | * |
---|
| 2200 | * ************************************************************************************/ |
---|
[3] | 2201 | // Load tolerances from the file |
---|
| 2202 | void ScaleTolerances(const char *TolFileName, const double scl) { |
---|
| 2203 | char line[128], FamName[32]; |
---|
[11] | 2204 | int Fnum=0; |
---|
| 2205 | double dx=0.0, dy=0.0, dr=0.0; |
---|
[3] | 2206 | FILE *tolfile; |
---|
| 2207 | |
---|
| 2208 | tolfile = file_read(TolFileName); |
---|
[11] | 2209 | if(tolfile == NULL){ |
---|
| 2210 | printf("LoadTolerances(): Error! Failure to read file: %s \n",TolFileName); |
---|
| 2211 | exit_(1); |
---|
| 2212 | } |
---|
| 2213 | |
---|
[3] | 2214 | do |
---|
| 2215 | fgets(line, 128, tolfile); |
---|
| 2216 | while (strstr(line, "#") != NULL); |
---|
| 2217 | |
---|
| 2218 | do { |
---|
| 2219 | if (strstr(line, "#") == NULL) { |
---|
| 2220 | sscanf(line, "%s %lf %lf %lf", FamName, &dx, &dy, &dr); |
---|
| 2221 | Fnum = ElemIndex(FamName); |
---|
| 2222 | if (Fnum > 0) { |
---|
| 2223 | Scale_Tol(Fnum, scl * dx, scl * dy, scl * dr); |
---|
| 2224 | } else { |
---|
| 2225 | printf("ScaleTolerances: undefined element %s\n", FamName); |
---|
| 2226 | exit_(1); |
---|
| 2227 | } |
---|
| 2228 | } |
---|
| 2229 | } while (fgets(line, 128, tolfile) != NULL); |
---|
| 2230 | fclose(tolfile); |
---|
| 2231 | } |
---|
[11] | 2232 | /******************************************************************************* |
---|
| 2233 | * |
---|
| 2234 | * |
---|
| 2235 | * |
---|
| 2236 | * |
---|
| 2237 | ******************************************************************************/ |
---|
[3] | 2238 | void SetKpar(int Fnum, int Knum, int Order, double k) { |
---|
| 2239 | |
---|
| 2240 | Cell[Elem_GetPos(Fnum, Knum)].Elem.M->PBpar[Order + HOMmax] = k; |
---|
| 2241 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2242 | } |
---|
[11] | 2243 | /******************************************************************************* |
---|
| 2244 | * |
---|
| 2245 | * |
---|
| 2246 | * |
---|
| 2247 | * |
---|
| 2248 | ******************************************************************************/ |
---|
[3] | 2249 | void SetL(int Fnum, int Knum, double L) { |
---|
| 2250 | |
---|
| 2251 | Cell[Elem_GetPos(Fnum, Knum)].Elem.PL = L; |
---|
| 2252 | } |
---|
[11] | 2253 | /******************************************************************************* |
---|
| 2254 | * |
---|
| 2255 | * |
---|
| 2256 | * |
---|
| 2257 | * |
---|
| 2258 | ******************************************************************************/ |
---|
[3] | 2259 | void SetL(int Fnum, double L) { |
---|
[11] | 2260 | int i=0; |
---|
[3] | 2261 | |
---|
| 2262 | for (i = 1; i <= GetnKid(Fnum); i++) |
---|
| 2263 | Cell[Elem_GetPos(Fnum, i)].Elem.PL = L; |
---|
| 2264 | } |
---|
[11] | 2265 | /******************************************************************************* |
---|
| 2266 | * |
---|
| 2267 | * |
---|
| 2268 | * |
---|
| 2269 | * |
---|
| 2270 | ******************************************************************************/ |
---|
[3] | 2271 | void SetdKpar(int Fnum, int Knum, int Order, double dk) { |
---|
| 2272 | |
---|
| 2273 | Cell[Elem_GetPos(Fnum, Knum)].Elem.M->PBpar[Order + HOMmax] += dk; |
---|
| 2274 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2275 | } |
---|
[11] | 2276 | /******************************************************************************* |
---|
| 2277 | * |
---|
| 2278 | * |
---|
| 2279 | * |
---|
| 2280 | * |
---|
| 2281 | ******************************************************************************/ |
---|
[3] | 2282 | void SetKLpar(int Fnum, int Knum, int Order, double kL) { |
---|
[11] | 2283 | long int loc=0L; |
---|
[3] | 2284 | |
---|
| 2285 | if (abs(Order) > HOMmax) { |
---|
| 2286 | printf("SetKLPar: Error!....Multipole Order %d > HOMmax %d\n", Order, |
---|
| 2287 | HOMmax); |
---|
| 2288 | exit_(1); |
---|
| 2289 | } |
---|
| 2290 | |
---|
| 2291 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2292 | if (Cell[loc].Elem.PL != 0e0) |
---|
| 2293 | Cell[loc].Elem.M->PBpar[Order + HOMmax] = kL / Cell[loc].Elem.PL; |
---|
| 2294 | else |
---|
| 2295 | Cell[loc].Elem.M->PBpar[Order + HOMmax] = kL; |
---|
| 2296 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2297 | } |
---|
[11] | 2298 | /******************************************************************************* |
---|
| 2299 | * |
---|
| 2300 | * |
---|
| 2301 | * |
---|
| 2302 | * |
---|
| 2303 | ******************************************************************************/ |
---|
[3] | 2304 | void SetdKLpar(int Fnum, int Knum, int Order, double dkL) { |
---|
[11] | 2305 | long int loc=0L; |
---|
[3] | 2306 | |
---|
| 2307 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2308 | if (Cell[loc].Elem.PL != 0e0) |
---|
| 2309 | Cell[loc].Elem.M->PBpar[Order + HOMmax] += dkL / Cell[loc].Elem.PL; |
---|
| 2310 | else |
---|
| 2311 | Cell[loc].Elem.M->PBpar[Order + HOMmax] += dkL; |
---|
| 2312 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2313 | } |
---|
| 2314 | |
---|
| 2315 | /************************************************************* |
---|
| 2316 | void SetdKrpar(int Fnum, int Knum, int Order, double dkrel) |
---|
| 2317 | |
---|
| 2318 | Purpose: |
---|
| 2319 | Increase or reduce the strength of element by a certain scale. |
---|
| 2320 | |
---|
| 2321 | Input: |
---|
| 2322 | Fnum family number |
---|
| 2323 | Knum kid number |
---|
| 2324 | order field strength order to be modified |
---|
| 2325 | bnr scale of the field strength with order "order" |
---|
| 2326 | |
---|
| 2327 | Output: |
---|
| 2328 | |
---|
| 2329 | Comments: |
---|
| 2330 | |
---|
| 2331 | |
---|
| 2332 | **************************************************************/ |
---|
| 2333 | void SetdKrpar(int Fnum, int Knum, int Order, double dkrel) { |
---|
[11] | 2334 | long int loc=0L; |
---|
[3] | 2335 | |
---|
| 2336 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2337 | if (Order == Dip && Cell[loc].Elem.M->Pthick == thick) |
---|
| 2338 | Cell[loc].Elem.M->PBpar[Dip + HOMmax] += dkrel |
---|
| 2339 | * Cell[loc].Elem.M->Pirho; |
---|
| 2340 | else |
---|
| 2341 | Cell[loc].Elem.M->PBpar[Order + HOMmax] += dkrel |
---|
| 2342 | * Cell[loc].Elem.M->PBpar[Order + HOMmax]; |
---|
| 2343 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2344 | } |
---|
[11] | 2345 | /******************************************************************************* |
---|
| 2346 | * |
---|
| 2347 | * |
---|
| 2348 | * |
---|
| 2349 | * |
---|
| 2350 | ******************************************************************************/ |
---|
[3] | 2351 | void Setbn(int Fnum, int order, double bn) { |
---|
[11] | 2352 | int i=0; |
---|
[3] | 2353 | |
---|
| 2354 | for (i = 1; i <= GetnKid(Fnum); i++) |
---|
| 2355 | SetKpar(Fnum, i, order, bn); |
---|
| 2356 | } |
---|
[11] | 2357 | /******************************************************************************* |
---|
| 2358 | * |
---|
| 2359 | * |
---|
| 2360 | * |
---|
| 2361 | * |
---|
| 2362 | ******************************************************************************/ |
---|
[3] | 2363 | void SetbnL(int Fnum, int order, double bnL) { |
---|
[11] | 2364 | int i=0; |
---|
[3] | 2365 | |
---|
| 2366 | for (i = 1; i <= GetnKid(Fnum); i++) |
---|
| 2367 | SetKLpar(Fnum, i, order, bnL); |
---|
| 2368 | } |
---|
[11] | 2369 | /******************************************************************************* |
---|
| 2370 | * |
---|
| 2371 | * |
---|
| 2372 | * |
---|
| 2373 | * |
---|
| 2374 | ******************************************************************************/ |
---|
[3] | 2375 | void Setdbn(int Fnum, int order, double dbn) { |
---|
[11] | 2376 | int i=0; |
---|
[3] | 2377 | |
---|
| 2378 | for (i = 1; i <= GetnKid(Fnum); i++) |
---|
| 2379 | SetdKpar(Fnum, i, order, dbn); |
---|
| 2380 | } |
---|
[11] | 2381 | /******************************************************************************* |
---|
| 2382 | * |
---|
| 2383 | * |
---|
| 2384 | * |
---|
| 2385 | * |
---|
| 2386 | ******************************************************************************/ |
---|
[3] | 2387 | void SetdbnL(int Fnum, int order, double dbnL) { |
---|
[11] | 2388 | int i=0; |
---|
[3] | 2389 | |
---|
| 2390 | for (i = 1; i <= GetnKid(Fnum); i++) { |
---|
| 2391 | SetdKLpar(Fnum, i, order, dbnL); |
---|
| 2392 | } |
---|
| 2393 | } |
---|
| 2394 | |
---|
| 2395 | /************************************************************* |
---|
| 2396 | void Setbnr(int Fnum, int order, double bnr) |
---|
| 2397 | |
---|
| 2398 | Purpose: |
---|
| 2399 | Increase or reduce the strength of element family by a certain |
---|
| 2400 | scale. |
---|
| 2401 | |
---|
| 2402 | Input: |
---|
| 2403 | Fnum family number |
---|
| 2404 | order field strength order to be modified |
---|
| 2405 | bnr scale of the field strength with order "order" |
---|
| 2406 | |
---|
| 2407 | Output: |
---|
| 2408 | |
---|
| 2409 | Comments: |
---|
| 2410 | Jianfeng Zhang 07/04/2011 |
---|
| 2411 | Fix the bug in the type definition of the function parameter 'order' |
---|
| 2412 | from 'long' to 'int'. |
---|
| 2413 | |
---|
| 2414 | **************************************************************/ |
---|
| 2415 | //void Setbnr(int Fnum, long order, double bnr) { |
---|
| 2416 | void Setbnr(int Fnum, int order, double bnr) { |
---|
[11] | 2417 | int i=0; |
---|
[3] | 2418 | |
---|
| 2419 | for (i = 1; i <= GetnKid(Fnum); i++) |
---|
| 2420 | SetdKrpar(Fnum, i, order, bnr); |
---|
| 2421 | } |
---|
[11] | 2422 | /******************************************************************************* |
---|
| 2423 | * |
---|
| 2424 | * |
---|
| 2425 | * |
---|
| 2426 | * |
---|
| 2427 | ******************************************************************************/ |
---|
[3] | 2428 | void SetbnL_sys(int Fnum, int Order, double bnL_sys) { |
---|
[11] | 2429 | int Knum=0; |
---|
| 2430 | long int loc=0L; |
---|
[3] | 2431 | |
---|
| 2432 | for (Knum = 1; Knum <= GetnKid(Fnum); Knum++) { |
---|
| 2433 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2434 | if (Cell[loc].Elem.PL != 0.0) |
---|
| 2435 | Cell[loc].Elem.M->PBsys[Order + HOMmax] = bnL_sys |
---|
| 2436 | / Cell[loc].Elem.PL; |
---|
| 2437 | else |
---|
| 2438 | Cell[loc].Elem.M->PBsys[Order + HOMmax] = bnL_sys; |
---|
| 2439 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2440 | } |
---|
| 2441 | } |
---|
[11] | 2442 | /******************************************************************************* |
---|
| 2443 | * |
---|
| 2444 | * |
---|
| 2445 | * |
---|
| 2446 | * |
---|
| 2447 | ******************************************************************************/ |
---|
[3] | 2448 | void set_dbn_rel(const int type, const int n, const double dbn_rel) { |
---|
[11] | 2449 | long int j=0L; |
---|
| 2450 | double dbn=0.0; |
---|
[3] | 2451 | |
---|
| 2452 | printf("\n"); |
---|
| 2453 | printf("Setting Db_%d/b_%d = %6.1e for:\n", n, type, dbn_rel); |
---|
| 2454 | printf("\n"); |
---|
| 2455 | for (j = 0; j <= globval.Cell_nLoc; j++) |
---|
| 2456 | if ((Cell[j].Elem.Pkind == Mpole) && (Cell[j].Elem.M->n_design == type)) { |
---|
| 2457 | printf("%s\n", Cell[j].Elem.PName); |
---|
| 2458 | dbn = dbn_rel * Cell[j].Elem.M->PBpar[type + HOMmax]; |
---|
| 2459 | Cell[j].Elem.M->PBrms[n + HOMmax] = dbn; |
---|
| 2460 | Cell[j].Elem.M->PBrnd[n + HOMmax] = normranf(); |
---|
| 2461 | Mpole_SetPB(Cell[j].Fnum, Cell[j].Knum, n); |
---|
| 2462 | } |
---|
| 2463 | } |
---|
| 2464 | |
---|
| 2465 | /******************************************************************** |
---|
| 2466 | double GetKpar(int Fnum, int Knum, int Order) |
---|
| 2467 | |
---|
| 2468 | Purpose: |
---|
| 2469 | Return the n-th order design field strength of the element |
---|
| 2470 | |
---|
| 2471 | Input: |
---|
| 2472 | Fnum family index |
---|
| 2473 | Knum kid index |
---|
| 2474 | Order design field strength |
---|
| 2475 | |
---|
| 2476 | Ouput: |
---|
| 2477 | None |
---|
| 2478 | |
---|
| 2479 | Return: |
---|
| 2480 | n-th order design field strength |
---|
| 2481 | |
---|
| 2482 | *********************************************************************/ |
---|
| 2483 | double GetKpar(int Fnum, int Knum, int Order) { |
---|
| 2484 | return (Cell[Elem_GetPos(Fnum, Knum)].Elem.M->PBpar[Order + HOMmax]); |
---|
| 2485 | } |
---|
| 2486 | |
---|
| 2487 | /******************************************************************** |
---|
| 2488 | double GetL(int Fnum, int Knum) |
---|
| 2489 | |
---|
| 2490 | Purpose: |
---|
| 2491 | Return the length of the element with "Fnum" and "Knum" |
---|
| 2492 | |
---|
| 2493 | Input: |
---|
| 2494 | Fnum family index |
---|
| 2495 | Knum kid index |
---|
| 2496 | |
---|
| 2497 | |
---|
| 2498 | Ouput: |
---|
| 2499 | None |
---|
| 2500 | |
---|
| 2501 | Return: |
---|
| 2502 | |
---|
| 2503 | |
---|
| 2504 | *********************************************************************/ |
---|
| 2505 | double GetL(int Fnum, int Knum) { |
---|
| 2506 | return (Cell[Elem_GetPos(Fnum, Knum)].Elem.PL); |
---|
| 2507 | } |
---|
| 2508 | |
---|
| 2509 | /******************************************************************** |
---|
| 2510 | double GetKLpar(int Fnum, int Knum, int Order) |
---|
| 2511 | |
---|
| 2512 | Purpose: |
---|
| 2513 | Return the n-th order design integrated field strength of the element |
---|
| 2514 | |
---|
| 2515 | Input: |
---|
| 2516 | Fnum family index |
---|
| 2517 | Knum kid index |
---|
| 2518 | Order design field strength |
---|
| 2519 | |
---|
| 2520 | Ouput: |
---|
| 2521 | None |
---|
| 2522 | |
---|
| 2523 | Return: |
---|
| 2524 | n-th order design integrated field strength |
---|
| 2525 | |
---|
| 2526 | *********************************************************************/ |
---|
| 2527 | |
---|
| 2528 | double GetKLpar(int Fnum, int Knum, int Order) { |
---|
| 2529 | long int loc = 0L; |
---|
| 2530 | |
---|
| 2531 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2532 | if (Cell[loc].Elem.PL != 0e0) |
---|
| 2533 | return (Cell[loc].Elem.M->PBpar[Order + HOMmax] * Cell[loc].Elem.PL); |
---|
| 2534 | else |
---|
| 2535 | return (Cell[loc].Elem.M->PBpar[Order + HOMmax]); |
---|
| 2536 | } |
---|
[11] | 2537 | /******************************************************************************* |
---|
| 2538 | * |
---|
| 2539 | * |
---|
| 2540 | * |
---|
| 2541 | * |
---|
| 2542 | ******************************************************************************/ |
---|
[3] | 2543 | void SetdKLrms(int Fnum, int Order, double dkLrms) { |
---|
[11] | 2544 | long int Knum=0L, loc=0L; |
---|
[3] | 2545 | |
---|
| 2546 | for (Knum = 1; Knum <= GetnKid(Fnum); Knum++) { |
---|
| 2547 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2548 | if (Cell[loc].Elem.PL != 0e0) |
---|
| 2549 | Cell[loc].Elem.M->PBrms[Order + HOMmax] = dkLrms |
---|
| 2550 | / Cell[loc].Elem.PL; |
---|
| 2551 | else |
---|
| 2552 | Cell[loc].Elem.M->PBrms[Order + HOMmax] = dkLrms; |
---|
| 2553 | Cell[loc].Elem.M->PBrnd[Order + HOMmax] = normranf(); |
---|
| 2554 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2555 | } |
---|
| 2556 | } |
---|
[11] | 2557 | /******************************************************************************* |
---|
| 2558 | * |
---|
| 2559 | * |
---|
| 2560 | * |
---|
| 2561 | * |
---|
| 2562 | ******************************************************************************/ |
---|
[3] | 2563 | void Setdkrrms(int Fnum, int Order, double dkrrms) { |
---|
[11] | 2564 | long int Knum=0L, loc=0L; |
---|
[3] | 2565 | |
---|
| 2566 | for (Knum = 1; Knum <= GetnKid(Fnum); Knum++) { |
---|
| 2567 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2568 | if (Order == Dip && Cell[loc].Elem.M->Pthick == thick) |
---|
| 2569 | Cell[loc].Elem.M->PBrms[Dip + HOMmax] = dkrrms |
---|
| 2570 | * Cell[loc].Elem.M->Pirho; |
---|
| 2571 | else |
---|
| 2572 | Cell[loc].Elem.M->PBrms[Order + HOMmax] = dkrrms |
---|
| 2573 | * Cell[loc].Elem.M->PBpar[Order + HOMmax]; |
---|
| 2574 | Cell[loc].Elem.M->PBrnd[Order + HOMmax] = normranf(); |
---|
| 2575 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2576 | } |
---|
| 2577 | } |
---|
[11] | 2578 | /******************************************************************************* |
---|
| 2579 | * |
---|
| 2580 | * |
---|
| 2581 | * |
---|
| 2582 | * |
---|
| 2583 | ******************************************************************************/ |
---|
[3] | 2584 | void SetKL(int Fnum, int Order) { |
---|
[11] | 2585 | long int Knum=0L; |
---|
[3] | 2586 | |
---|
| 2587 | for (Knum = 1; Knum <= GetnKid(Fnum); Knum++) |
---|
| 2588 | Mpole_SetPB(Fnum, Knum, Order); |
---|
| 2589 | } |
---|
[11] | 2590 | /******************************************************************************* |
---|
| 2591 | * |
---|
| 2592 | * |
---|
| 2593 | * |
---|
| 2594 | * |
---|
| 2595 | ******************************************************************************/ |
---|
[3] | 2596 | void set_dx(const int type, const double sigma_x, const double sigma_y) { |
---|
[11] | 2597 | long int j=0L; |
---|
[3] | 2598 | |
---|
| 2599 | printf("\n"); |
---|
| 2600 | printf("Setting sigma_x,y = (%6.1e, %6.1e) for b_%d:\n", sigma_x, sigma_y, |
---|
| 2601 | type); |
---|
| 2602 | printf("\n"); |
---|
| 2603 | for (j = 0; j <= globval.Cell_nLoc; j++) |
---|
| 2604 | if ((Cell[j].Elem.Pkind == Mpole) && (Cell[j].Elem.M->n_design == type)) { |
---|
| 2605 | printf("%s\n", Cell[j].Elem.PName); |
---|
| 2606 | Cell[j].Elem.M->PdSrms[X_] = sigma_x; |
---|
| 2607 | Cell[j].Elem.M->PdSrms[Y_] = sigma_y; |
---|
| 2608 | Cell[j].Elem.M->PdSrnd[X_] = normranf(); |
---|
| 2609 | Cell[j].Elem.M->PdSrnd[Y_] = normranf(); |
---|
| 2610 | Mpole_SetdS(Cell[j].Fnum, Cell[j].Knum); |
---|
| 2611 | } |
---|
| 2612 | } |
---|
[11] | 2613 | /******************************************************************************* |
---|
| 2614 | * |
---|
| 2615 | * |
---|
| 2616 | * |
---|
| 2617 | * |
---|
| 2618 | ******************************************************************************/ |
---|
[3] | 2619 | void SetBpmdS(int Fnum, double dxrms, double dyrms) { |
---|
[11] | 2620 | long int Knum, loc=0L; |
---|
[3] | 2621 | |
---|
| 2622 | for (Knum = 1; Knum <= GetnKid(Fnum); Knum++) { |
---|
| 2623 | loc = Elem_GetPos(Fnum, Knum); |
---|
| 2624 | Cell[loc].dS[X_] = normranf() * dxrms; |
---|
| 2625 | Cell[loc].dS[Y_] = normranf() * dyrms; |
---|
| 2626 | } |
---|
| 2627 | } |
---|
| 2628 | |
---|
| 2629 | /****************************************************************************** |
---|
| 2630 | void codstat(double *mean, double *sigma, double *xmax, long lastpos, bool all) |
---|
| 2631 | |
---|
| 2632 | Purpose: |
---|
| 2633 | Routines for closed orbit correction |
---|
| 2634 | Return the mean orbit, rms orbit and maximum orbit, based on the orbits at |
---|
| 2635 | all lattice elements or all bpm postion. |
---|
| 2636 | |
---|
| 2637 | Input: |
---|
| 2638 | mean mean value of the orbit, horizontal or vertical |
---|
| 2639 | sigma rms value of the orbit, horizontal or vertical |
---|
| 2640 | xmax maximum value of the orbit, horizontal or vertical |
---|
| 2641 | lastpos last element index in the lattice |
---|
| 2642 | all true, then do statistics on the orbit at all elements |
---|
| 2643 | false, ...............................at all bpm |
---|
| 2644 | ****************************************************************************/ |
---|
| 2645 | void codstat(double *mean, double *sigma, double *xmax, long lastpos, bool all) { |
---|
[11] | 2646 | long i=0L, j=0L, n=0L; |
---|
[3] | 2647 | Vector2 sum, sum2; |
---|
[11] | 2648 | double TEMP=0.0; |
---|
[3] | 2649 | |
---|
| 2650 | n = 0; |
---|
| 2651 | for (j = 0; j <= 1; j++) { |
---|
| 2652 | sum[j] = 0.0; |
---|
| 2653 | sum2[j] = 0.0; |
---|
| 2654 | xmax[j] = 0.0; |
---|
| 2655 | } |
---|
| 2656 | for (i = 0; i <= lastpos; i++) { |
---|
| 2657 | if (all || Cell[i].Fnum == globval.bpm) {//get the sum and max orbit at all elements or all bpm |
---|
| 2658 | n++; |
---|
| 2659 | for (j = 1; j <= 2; j++) { |
---|
| 2660 | sum[j - 1] += Cell[i].BeamPos[j * 2 - 2]; |
---|
| 2661 | TEMP = Cell[i].BeamPos[j * 2 - 2]; |
---|
| 2662 | sum2[j - 1] += TEMP * TEMP; |
---|
| 2663 | xmax[j - 1] |
---|
| 2664 | = max(xmax[j - 1], fabs(Cell[i].BeamPos[j * 2 - 2])); |
---|
| 2665 | } |
---|
| 2666 | } |
---|
| 2667 | } |
---|
| 2668 | for (j = 0; j <= 1; j++) { |
---|
| 2669 | if (n != 0) |
---|
| 2670 | mean[j] = sum[j] / n; //mean value of the orbit |
---|
| 2671 | else |
---|
| 2672 | mean[j] = 0.0; |
---|
| 2673 | if (n != 0 && n != 1) { |
---|
| 2674 | TEMP = sum[j]; |
---|
| 2675 | sigma[j] = (n * sum2[j] - TEMP * TEMP) / (n * (n - 1.0)); |
---|
| 2676 | } else |
---|
| 2677 | sigma[j] = 0.0; |
---|
| 2678 | if (sigma[j] >= 0.0) |
---|
| 2679 | sigma[j] = sqrt(sigma[j]); |
---|
| 2680 | else |
---|
| 2681 | sigma[j] = 0.0; |
---|
| 2682 | } |
---|
| 2683 | } |
---|
| 2684 | |
---|
| 2685 | /****************************************************************************/ |
---|
| 2686 | /* void CodStatBpm(double *mean, double *sigma, double *xmax, long lastpos, |
---|
| 2687 | long bpmdis[mnp]) |
---|
| 2688 | |
---|
| 2689 | Purpose: |
---|
| 2690 | Get statistics for closed orbit |
---|
| 2691 | |
---|
| 2692 | Input: |
---|
| 2693 | none |
---|
| 2694 | |
---|
| 2695 | Output: |
---|
| 2696 | none |
---|
| 2697 | |
---|
| 2698 | Return: |
---|
| 2699 | none |
---|
| 2700 | |
---|
| 2701 | Global variables: |
---|
| 2702 | none |
---|
| 2703 | |
---|
| 2704 | Specific functions: |
---|
| 2705 | none |
---|
| 2706 | |
---|
| 2707 | Comments: |
---|
| 2708 | none |
---|
| 2709 | |
---|
| 2710 | ****************************************************************************/ |
---|
| 2711 | void CodStatBpm(double *mean, double *sigma, double *xmax, long lastpos, |
---|
| 2712 | long bpmdis[mnp]) { |
---|
[11] | 2713 | long i=0L, j=0L, m=0L, n=0L; |
---|
[3] | 2714 | Vector2 sum, sum2; |
---|
[11] | 2715 | double TEMP=0.0; |
---|
[3] | 2716 | |
---|
| 2717 | m = n = 0; |
---|
| 2718 | for (j = 0; j <= 1; j++) { |
---|
| 2719 | sum[j] = 0.0; |
---|
| 2720 | sum2[j] = 0.0; |
---|
| 2721 | xmax[j] = 0.0; |
---|
| 2722 | } |
---|
| 2723 | |
---|
| 2724 | for (i = 0; i <= lastpos; i++) { |
---|
| 2725 | if (Cell[i].Fnum == globval.bpm) { |
---|
| 2726 | if (!bpmdis[m]) { |
---|
| 2727 | for (j = 1; j <= 2; j++) { |
---|
| 2728 | sum[j - 1] += Cell[i].BeamPos[j * 2 - 2]; |
---|
| 2729 | TEMP = Cell[i].BeamPos[j * 2 - 2]; |
---|
| 2730 | sum2[j - 1] += TEMP * TEMP; |
---|
| 2731 | xmax[j - 1] = max(xmax[j - 1], fabs(Cell[i].BeamPos[j * 2 |
---|
| 2732 | - 2])); |
---|
| 2733 | } |
---|
| 2734 | n++; |
---|
| 2735 | } |
---|
| 2736 | m++; |
---|
| 2737 | } |
---|
| 2738 | } |
---|
| 2739 | for (j = 0; j <= 1; j++) { |
---|
| 2740 | if (n != 0) |
---|
| 2741 | mean[j] = sum[j] / n; |
---|
| 2742 | else |
---|
| 2743 | mean[j] = 0.0; |
---|
| 2744 | if (n != 0 && n != 1) { |
---|
| 2745 | TEMP = sum[j]; |
---|
| 2746 | sigma[j] = (n * sum2[j] - TEMP * TEMP) / (n * (n - 1.0)); |
---|
| 2747 | } else |
---|
| 2748 | sigma[j] = 0.0; |
---|
| 2749 | if (sigma[j] >= 0.0) |
---|
| 2750 | sigma[j] = sqrt(sigma[j]); |
---|
| 2751 | else |
---|
| 2752 | sigma[j] = 0.0; |
---|
| 2753 | } |
---|
| 2754 | } |
---|
| 2755 | |
---|
| 2756 | /****************************************************************************/ |
---|
| 2757 | /* double digitize(double x, double maxkick, double maxsamp) |
---|
| 2758 | |
---|
| 2759 | Purpose: |
---|
| 2760 | Map x onto the integer interval (-maxsamp ... maxsamp) where maxsamp |
---|
| 2761 | corresponds maxkick. |
---|
| 2762 | |
---|
| 2763 | |
---|
| 2764 | Input: |
---|
| 2765 | none |
---|
| 2766 | |
---|
| 2767 | Output: |
---|
| 2768 | none |
---|
| 2769 | |
---|
| 2770 | Return: |
---|
| 2771 | none |
---|
| 2772 | |
---|
| 2773 | Global variables: |
---|
| 2774 | none |
---|
| 2775 | |
---|
| 2776 | Specific functions: |
---|
| 2777 | none |
---|
| 2778 | |
---|
| 2779 | Comments: |
---|
| 2780 | none |
---|
| 2781 | |
---|
| 2782 | ****************************************************************************/ |
---|
| 2783 | double digitize(double x, double maxkick, double maxsamp) { |
---|
| 2784 | if (maxkick > 0.) |
---|
| 2785 | if (maxsamp > 1.) |
---|
| 2786 | return Sgn(x) * maxkick / maxsamp * min(floor(fabs(x) / maxkick |
---|
| 2787 | * maxsamp), maxsamp - 1.); |
---|
| 2788 | else { |
---|
| 2789 | return Sgn(x) * min(fabs(x), maxkick); |
---|
| 2790 | } |
---|
| 2791 | else |
---|
| 2792 | return x; |
---|
| 2793 | } |
---|
| 2794 | |
---|
| 2795 | /****************************************************************************/ |
---|
| 2796 | /* double digitize2(long plane, long inum, double x, double maxkick, double maxsamp) |
---|
| 2797 | |
---|
| 2798 | Purpose: |
---|
| 2799 | |
---|
| 2800 | |
---|
| 2801 | Input: |
---|
| 2802 | none |
---|
| 2803 | |
---|
| 2804 | Output: |
---|
| 2805 | none |
---|
| 2806 | |
---|
| 2807 | Return: |
---|
| 2808 | none |
---|
| 2809 | |
---|
| 2810 | Global variables: |
---|
| 2811 | none |
---|
| 2812 | |
---|
| 2813 | Specific functions: |
---|
| 2814 | none |
---|
| 2815 | |
---|
| 2816 | Comments: |
---|
| 2817 | none |
---|
| 2818 | |
---|
| 2819 | ****************************************************************************/ |
---|
| 2820 | svdarray xmemo[2]; |
---|
| 2821 | |
---|
| 2822 | double digitize2(long plane, long inum, double x, double maxkick, |
---|
| 2823 | double maxsamp) { |
---|
| 2824 | double xint; |
---|
| 2825 | |
---|
| 2826 | if (maxkick > 0.) |
---|
| 2827 | if (maxsamp > 1.) { |
---|
| 2828 | xint = min(floor(fabs(x) / maxkick * maxsamp), maxsamp - 1.); |
---|
| 2829 | |
---|
| 2830 | if (fabs(xint - xmemo[inum][plane]) >= 1.) { |
---|
| 2831 | xmemo[inum][plane] = xint; |
---|
| 2832 | } else { |
---|
| 2833 | xmemo[inum][plane] += 0.1; |
---|
| 2834 | xint = min(xmemo[inum][plane], maxsamp - 1.); |
---|
| 2835 | } |
---|
| 2836 | return Sgn(x) * maxkick / maxsamp * xint; |
---|
| 2837 | } else { |
---|
| 2838 | return Sgn(x) * min(fabs(x), maxkick); |
---|
| 2839 | } |
---|
| 2840 | else |
---|
| 2841 | return x; |
---|
| 2842 | } |
---|
| 2843 | |
---|
| 2844 | // MATH ROUTINE a mettre dans mathlib.c |
---|
| 2845 | |
---|
| 2846 | /****************************************************************************/ |
---|
| 2847 | /* void GetMean(n, x) |
---|
| 2848 | |
---|
| 2849 | Purpose: |
---|
| 2850 | Get out the mean value of vector x |
---|
| 2851 | |
---|
| 2852 | Input: |
---|
| 2853 | n vector size |
---|
| 2854 | x vector to get out the mean value |
---|
| 2855 | |
---|
| 2856 | Output: |
---|
| 2857 | none |
---|
| 2858 | |
---|
| 2859 | Return: |
---|
| 2860 | none |
---|
| 2861 | |
---|
| 2862 | Global variables: |
---|
| 2863 | none |
---|
| 2864 | |
---|
| 2865 | Specific functions: |
---|
| 2866 | none |
---|
| 2867 | |
---|
| 2868 | Comments: |
---|
| 2869 | to be moved in mathlib |
---|
| 2870 | |
---|
| 2871 | ****************************************************************************/ |
---|
| 2872 | void GetMean(long n, double *x) { |
---|
[11] | 2873 | long i=0L; |
---|
[3] | 2874 | double mean = 0e0; |
---|
| 2875 | |
---|
| 2876 | if (n < 1) { |
---|
| 2877 | fprintf(stdout, "GetMean: error wrong vector size n=%ld\n", n); |
---|
| 2878 | exit_(1); |
---|
| 2879 | } |
---|
| 2880 | for (i = 0; i < n; i++) |
---|
| 2881 | mean += x[i]; |
---|
| 2882 | mean /= n; |
---|
| 2883 | for (i = 0; i < n; i++) |
---|
| 2884 | x[i] = x[i] - mean; |
---|
| 2885 | } |
---|
| 2886 | |
---|
| 2887 | /****************************************************************************/ |
---|
| 2888 | /* double Fract(double x) |
---|
| 2889 | |
---|
| 2890 | Purpose: |
---|
| 2891 | Gets fractional part of x |
---|
| 2892 | |
---|
| 2893 | Input: |
---|
| 2894 | none |
---|
| 2895 | |
---|
| 2896 | Output: |
---|
| 2897 | none |
---|
| 2898 | |
---|
| 2899 | Return: |
---|
| 2900 | none |
---|
| 2901 | |
---|
| 2902 | Global variables: |
---|
| 2903 | none |
---|
| 2904 | |
---|
| 2905 | Specific functions: |
---|
| 2906 | none |
---|
| 2907 | |
---|
| 2908 | Comments: |
---|
| 2909 | none |
---|
| 2910 | |
---|
| 2911 | ****************************************************************************/ |
---|
| 2912 | double Fract(double x) { |
---|
| 2913 | return (x - (long int) x); |
---|
| 2914 | } |
---|
| 2915 | |
---|
| 2916 | /****************************************************************************/ |
---|
| 2917 | /* double Sgn (double x) |
---|
| 2918 | |
---|
| 2919 | Purpose: |
---|
| 2920 | Gets sign of x |
---|
| 2921 | |
---|
| 2922 | Input: |
---|
| 2923 | none |
---|
| 2924 | |
---|
| 2925 | Output: |
---|
| 2926 | 0 if zero |
---|
| 2927 | 1 if positive |
---|
| 2928 | -1 if negative |
---|
| 2929 | |
---|
| 2930 | Return: |
---|
| 2931 | none |
---|
| 2932 | |
---|
| 2933 | Global variables: |
---|
| 2934 | none |
---|
| 2935 | |
---|
| 2936 | Specific functions: |
---|
| 2937 | none |
---|
| 2938 | |
---|
| 2939 | Comments: |
---|
| 2940 | none |
---|
| 2941 | |
---|
| 2942 | ****************************************************************************/ |
---|
| 2943 | double Sgn(double x) { |
---|
| 2944 | return (x == 0.0 ? 0.0 : (x > 0.0 ? 1.0 : -1.0)); |
---|
| 2945 | } |
---|
| 2946 | |
---|
| 2947 | |
---|
| 2948 | |
---|
| 2949 | /*************************************************************************/ |
---|
| 2950 | /*void PrintCh(void) |
---|
| 2951 | |
---|
| 2952 | Purpose: |
---|
| 2953 | Output vacuum chamber limitation at each element to file "chambre.out" |
---|
| 2954 | |
---|
| 2955 | Input: |
---|
| 2956 | none |
---|
| 2957 | |
---|
| 2958 | Output: |
---|
| 2959 | none |
---|
| 2960 | |
---|
| 2961 | Return: |
---|
| 2962 | none |
---|
| 2963 | |
---|
| 2964 | Global variables: |
---|
| 2965 | none |
---|
| 2966 | |
---|
| 2967 | Specific functions: |
---|
| 2968 | none |
---|
| 2969 | |
---|
| 2970 | Comments: |
---|
| 2971 | none |
---|
| 2972 | |
---|
| 2973 | |
---|
| 2974 | *************************************************************************/ |
---|
| 2975 | void PrintCh(void) { |
---|
| 2976 | long i = 0; |
---|
| 2977 | struct tm *newtime; |
---|
| 2978 | FILE *f; |
---|
| 2979 | |
---|
| 2980 | const char *fic = "chambre.out"; |
---|
| 2981 | |
---|
| 2982 | newtime = GetTime(); |
---|
| 2983 | |
---|
| 2984 | f = file_write(fic); |
---|
| 2985 | fprintf(f, "# TRACY III Synchrotron SOLEIL -- %s -- %s \n", fic, asctime2( |
---|
| 2986 | newtime)); |
---|
| 2987 | fprintf(f, |
---|
| 2988 | "# i name s -xch(mm) +xch(mm) -ych(mm) +ych(mm)\n#\n"); |
---|
| 2989 | |
---|
| 2990 | for (i = 1; i <= globval.Cell_nLoc; i++) |
---|
| 2991 | fprintf(f, "%4ld %15s %6.2f %7.3f %7.3f %7.3f %7.3f\n", i, |
---|
| 2992 | Cell[i].Elem.PName, Cell[i].S, Cell[i].maxampl[X_][0] * 1E3, |
---|
| 2993 | Cell[i].maxampl[X_][1] * 1E3, Cell[i].maxampl[Y_][0] * 1E3, |
---|
| 2994 | Cell[i].maxampl[Y_][1] * 1E3); |
---|
| 2995 | |
---|
| 2996 | fclose(f); |
---|
| 2997 | } |
---|
| 2998 | |
---|
| 2999 | |
---|
| 3000 | /****************************************************************************/ |
---|
| 3001 | /* void GetChromTrac(long Nb, long Nbtour, double emax, |
---|
| 3002 | double *xix, double *xiz) |
---|
| 3003 | |
---|
| 3004 | Purpose: |
---|
| 3005 | Computes chromaticities by tracking |
---|
| 3006 | |
---|
| 3007 | Input: |
---|
| 3008 | Nb point number |
---|
| 3009 | Nbtour turn number |
---|
| 3010 | emax energy step |
---|
| 3011 | |
---|
| 3012 | Output: |
---|
| 3013 | xix horizontal chromaticity |
---|
| 3014 | xiz vertical chromaticity |
---|
| 3015 | |
---|
| 3016 | Return: |
---|
| 3017 | none |
---|
| 3018 | |
---|
| 3019 | Global variables: |
---|
| 3020 | trace |
---|
| 3021 | |
---|
| 3022 | Specific functions: |
---|
| 3023 | Trac_Simple, Get_NAFF |
---|
| 3024 | |
---|
| 3025 | Comments: |
---|
| 3026 | 27/04/03 chromaticities are now output arguments |
---|
| 3027 | 07/10/10 add test if unstable |
---|
| 3028 | |
---|
| 3029 | ****************************************************************************/ |
---|
| 3030 | #define nterm 2 |
---|
| 3031 | #define ZERO 1E-8 |
---|
| 3032 | |
---|
| 3033 | void GetChromTrac(long Nb, long Nbtour, double emax, double *xix, double *xiy) { |
---|
| 3034 | bool status = true; |
---|
| 3035 | int nb_freq[2] = { 0, 0 }; /* frequency number to look for */ |
---|
| 3036 | int i = 0; |
---|
| 3037 | double Tab[6][NTURN], fx[nterm], fy[nterm], nux1, nux2, nuy1, nuy2; |
---|
| 3038 | |
---|
| 3039 | double x = 1e-6, xp = 0.0, y = 1e-6, yp = 0.0; |
---|
| 3040 | double x0 = 1e-6, xp0 = 0.0, y0 = 1e-6, yp0 = 0.0; |
---|
| 3041 | //double xixExtra = 0.0, xizExtra= 0.0, xixhalf= 0.0, xizhalf= 0.0; |
---|
| 3042 | //double nux3 = 0.0, nux4 = 0.0, nuz3 = 0.0, nuz4 = 0.0; |
---|
| 3043 | |
---|
| 3044 | /* initializations */ |
---|
| 3045 | for (i = 0; i < nterm; i++) { |
---|
| 3046 | fx[i] = 0.0; |
---|
| 3047 | fy[i] = 0.0; |
---|
| 3048 | } |
---|
| 3049 | /* end init */ |
---|
| 3050 | |
---|
| 3051 | /* Tracking for delta = emax and computing tunes */ |
---|
| 3052 | x = x0; |
---|
| 3053 | xp = xp0; |
---|
| 3054 | y = y0; |
---|
| 3055 | yp = yp0; |
---|
| 3056 | |
---|
| 3057 | Trac_Simple4DCOD(x, xp, y, yp, emax, 0.0, Nbtour, Tab, &status); |
---|
| 3058 | if (status){ |
---|
| 3059 | Get_NAFF(nterm, Nbtour, Tab, fx, fy, nb_freq); |
---|
| 3060 | nux1 = (fabs(fx[0]) > ZERO ? fx[0] : fx[1]); |
---|
| 3061 | nuy1 = fy[0];} |
---|
| 3062 | else{ |
---|
| 3063 | nux1=999; nuy1=999; |
---|
| 3064 | } |
---|
| 3065 | |
---|
| 3066 | if (trace) |
---|
| 3067 | fprintf(stdout, |
---|
| 3068 | "\nGetChromTrac: Entering routine for chroma using tracking\n"); |
---|
| 3069 | if (trace) |
---|
| 3070 | fprintf(stdout, "emax= % 10.6e nux1=% 10.6e nuy1= % 10.6e\n", emax, |
---|
| 3071 | nux1, nuy1); |
---|
| 3072 | |
---|
| 3073 | /* Tracking for delta = -emax and computing tunes */ |
---|
| 3074 | x = x0; |
---|
| 3075 | xp = xp0; |
---|
| 3076 | y = y0; |
---|
| 3077 | yp = yp0; |
---|
| 3078 | |
---|
| 3079 | Trac_Simple4DCOD(x, xp, y, yp, -emax, 0.0, Nbtour, Tab, &status); |
---|
| 3080 | if (status){ |
---|
| 3081 | Get_NAFF(nterm, Nbtour, Tab, fx, fy, nb_freq); |
---|
| 3082 | if (trace) |
---|
| 3083 | fprintf(stdout, "nturn=%6ld x=% 10.5g xp=% 10.5g z=% 10.5g zp=% 10.5g" |
---|
| 3084 | " delta=% 10.5g ctau=% 10.5g \n", Nbtour, Tab[0][Nbtour - 1], |
---|
| 3085 | Tab[1][Nbtour - 1], Tab[2][Nbtour - 1], Tab[3][Nbtour - 1], |
---|
| 3086 | Tab[4][Nbtour - 1], Tab[5][Nbtour - 1]); |
---|
| 3087 | |
---|
| 3088 | nux2 = (fabs(fx[0]) > ZERO ? fx[0] : fx[1]); |
---|
| 3089 | nuy2 = fy[0]; |
---|
| 3090 | |
---|
| 3091 | if (trace) |
---|
| 3092 | fprintf(stdout, "emax= % 10.6e nux2= % 10.6e nuy2= % 10.6e\n", -emax, |
---|
| 3093 | nux2, nuy2); |
---|
| 3094 | |
---|
| 3095 | /* Computing chromaticities */ |
---|
| 3096 | *xix = (nux2 - nux1) * 0.5 / emax; |
---|
| 3097 | *xiy = (nuy2 - nuy1) * 0.5 / emax; |
---|
| 3098 | |
---|
| 3099 | if (trace) |
---|
| 3100 | fprintf(stdout, |
---|
| 3101 | "GetChromTrac: Exiting routine for chroma using tracking\n\n"); |
---|
| 3102 | } |
---|
| 3103 | else{ // unstable |
---|
| 3104 | *xix = -99999; |
---|
| 3105 | *xiy = -99999; |
---|
| 3106 | } |
---|
| 3107 | |
---|
| 3108 | /* |
---|
| 3109 | // Compute for half a step to diagnose precision |
---|
| 3110 | Trac_Simple(x, xp, z, zp, emax*0.5, 0.0, Nbtour, Tab, &status); |
---|
| 3111 | Get_NAFF(nterm, Nbtour, Tab, fx, fz, nb_freq); |
---|
| 3112 | nux3 = (fabs (fx[0]) > 1e-8 ? fx[0] : fx[1]); nuz3 = fz[0]; |
---|
| 3113 | |
---|
| 3114 | Trac_Simple(x, xp, z, zp, -emax*0.5, 0.0, Nbtour, Tab, &status); |
---|
| 3115 | Get_NAFF(nterm, Nbtour, Tab, fx, fz, nb_freq); |
---|
| 3116 | nux4 = (fabs(fx[0]) > 1e-8 ? fx[0] : fx[1]); nuz4 = fz[0]; |
---|
| 3117 | |
---|
| 3118 | xixhalf = (nux4-nux3)/emax; xizhalf = (nuz4-nuz3)/emax; |
---|
| 3119 | |
---|
| 3120 | // Richardson extrapolation |
---|
| 3121 | xixExtra = (4.0*xixhalf-*xix)/3.0; |
---|
| 3122 | xizExtra = (4.0*xizhalf-*xiz)/3.0; |
---|
| 3123 | |
---|
| 3124 | fprintf(stdout, "chroma evaluated at +/- %6.2g, xix = % f xiz = % f\n", |
---|
| 3125 | emax, *xix, *xiz); |
---|
| 3126 | fprintf(stdout, "chroma evaluated at +/- %6.2g, xix = % f xiz = % f\n", |
---|
| 3127 | emax/2, xixhalf, xizhalf); |
---|
| 3128 | fprintf(stdout, "chroma evaluated from Richardson Extrapolation, xix = % f xiz = % f\n", |
---|
| 3129 | xixExtra, xizExtra); |
---|
| 3130 | */ |
---|
| 3131 | } |
---|
| 3132 | #undef nterm |
---|
| 3133 | #undef ZERO |
---|
| 3134 | |
---|
| 3135 | /****************************************************************************/ |
---|
| 3136 | /* void GetTuneTrac(long Nbtour, double emax, double *nux, double *nuz) |
---|
| 3137 | |
---|
| 3138 | Purpose: |
---|
| 3139 | Computes tunes by tracking |
---|
| 3140 | |
---|
| 3141 | Input: |
---|
| 3142 | Nb point number |
---|
| 3143 | Nbtour turn number |
---|
| 3144 | emax energy step |
---|
| 3145 | |
---|
| 3146 | Output: |
---|
| 3147 | nux horizontal tune (0.0 if unstable) |
---|
| 3148 | nuz vertical tune (0.0 if unstable) |
---|
| 3149 | |
---|
| 3150 | Return: |
---|
| 3151 | none |
---|
| 3152 | |
---|
| 3153 | Global variables: |
---|
| 3154 | trace |
---|
| 3155 | |
---|
| 3156 | Specific functions: |
---|
| 3157 | Trac_Simple, Get_NAFF |
---|
| 3158 | |
---|
| 3159 | Comments: |
---|
| 3160 | Add test on stability |
---|
| 3161 | |
---|
| 3162 | ****************************************************************************/ |
---|
| 3163 | #define nterm 2 |
---|
| 3164 | #define ZERO 1E-8 |
---|
| 3165 | void GetTuneTrac(long Nbtour, double emax, double *nux, double *nuz) { |
---|
| 3166 | double Tab[6][NTURN], fx[nterm], fz[nterm]; |
---|
| 3167 | int nb_freq[2]; |
---|
| 3168 | bool status; |
---|
| 3169 | |
---|
| 3170 | double x = 1e-6, xp = 0.0, z = 1e-6, zp = 0.0; |
---|
| 3171 | |
---|
| 3172 | Trac_Simple4DCOD(x, xp, z, zp, emax, 0.0, Nbtour, Tab, &status); |
---|
| 3173 | if (status){ |
---|
| 3174 | Get_NAFF(nterm, Nbtour, Tab, fx, fz, nb_freq); |
---|
| 3175 | *nux = (fabs(fx[0]) > ZERO ? fx[0] : fx[1]); |
---|
| 3176 | *nuz = fz[0];} |
---|
| 3177 | else{ // particle unstable |
---|
| 3178 | *nux = 0.0; |
---|
| 3179 | *nuz = 0.0;} |
---|
| 3180 | } |
---|
| 3181 | #undef nterm |
---|
| 3182 | #undef ZERO |
---|
| 3183 | |
---|
| 3184 | /****************************************************************************/ |
---|
| 3185 | /* void TransTwiss(double *alpha, double *beta, double *eta, double *etap, double *codvect) |
---|
| 3186 | |
---|
| 3187 | Purpose: high level application |
---|
| 3188 | Calculate Twiss functions for a transport line |
---|
| 3189 | |
---|
| 3190 | Input: |
---|
| 3191 | alpha alpha functions at the line entrance |
---|
| 3192 | beta beta functions at the line entrance |
---|
| 3193 | eta dispersion functions at the line entrance |
---|
| 3194 | etap dispersion derivatives functions at the line entrance |
---|
| 3195 | codvect closed orbit functions at the line entrance |
---|
| 3196 | |
---|
| 3197 | Output: |
---|
| 3198 | none |
---|
| 3199 | |
---|
| 3200 | Return: |
---|
| 3201 | none |
---|
| 3202 | |
---|
| 3203 | Global variables: |
---|
| 3204 | |
---|
| 3205 | |
---|
| 3206 | Specific functions: |
---|
| 3207 | TransTrace |
---|
| 3208 | |
---|
| 3209 | Comments: |
---|
| 3210 | redundant with ttwiss |
---|
| 3211 | |
---|
| 3212 | ****************************************************************************/ |
---|
| 3213 | void TransTwiss(Vector2 &alpha, Vector2 &beta, Vector2 &eta, Vector2 &etap, |
---|
| 3214 | Vector &codvect) { |
---|
| 3215 | TransTrace(0, globval.Cell_nLoc, alpha, beta, eta, etap, codvect); |
---|
| 3216 | } |
---|
| 3217 | |
---|
| 3218 | /****************************************************************************/ |
---|
| 3219 | /* void ttwiss(double *alpha, double *beta, double *eta, double *etap, double dP) |
---|
| 3220 | |
---|
| 3221 | Purpose: |
---|
| 3222 | Calculate Twiss functions for transport line |
---|
| 3223 | |
---|
| 3224 | Input: |
---|
| 3225 | none |
---|
| 3226 | |
---|
| 3227 | Output: |
---|
| 3228 | none |
---|
| 3229 | |
---|
| 3230 | Return: |
---|
| 3231 | none |
---|
| 3232 | |
---|
| 3233 | Global variables: |
---|
| 3234 | none |
---|
| 3235 | |
---|
| 3236 | Specific functions: |
---|
| 3237 | none |
---|
| 3238 | |
---|
| 3239 | Comments: |
---|
| 3240 | redundant with TransTwiss |
---|
| 3241 | |
---|
| 3242 | ****************************************************************************/ |
---|
| 3243 | void ttwiss(const Vector2 &alpha, const Vector2 &beta, const Vector2 &eta, |
---|
| 3244 | const Vector2 &etap, const double dP) { |
---|
| 3245 | TraceABN(0, globval.Cell_nLoc, alpha, beta, eta, etap, dP); |
---|
| 3246 | } |
---|
| 3247 | |
---|
| 3248 | /****************************************************************************/ |
---|
| 3249 | /* void findcodS(double dP) |
---|
| 3250 | |
---|
| 3251 | Purpose: |
---|
| 3252 | Search for the closed orbit using a numerical method |
---|
| 3253 | Algo: Newton_Raphson method |
---|
| 3254 | Quadratic convergence |
---|
| 3255 | May need a guess starting point |
---|
| 3256 | Simple precision algorithm |
---|
| 3257 | |
---|
| 3258 | Input: |
---|
| 3259 | dP energy offset |
---|
| 3260 | |
---|
| 3261 | Output: |
---|
| 3262 | none |
---|
| 3263 | |
---|
| 3264 | Return: |
---|
| 3265 | none |
---|
| 3266 | |
---|
| 3267 | Global variables: |
---|
| 3268 | none |
---|
| 3269 | |
---|
| 3270 | specific functions: |
---|
| 3271 | Newton_Raphson |
---|
| 3272 | |
---|
| 3273 | Comments: |
---|
| 3274 | Method introduced because of bad convergence of da for ID using RADIA maps |
---|
| 3275 | |
---|
| 3276 | ****************************************************************************/ |
---|
| 3277 | void findcodS(double dP) { |
---|
| 3278 | double *vcod; |
---|
| 3279 | Vector x0; |
---|
| 3280 | const int ntrial = 40; // maximum number of trials for closed orbit |
---|
| 3281 | const double tolx = 1e-8; // numerical precision |
---|
[11] | 3282 | int k=0; |
---|
| 3283 | int dim=0; // 4D or 6D tracking |
---|
| 3284 | long lastpos=0L; |
---|
[3] | 3285 | |
---|
| 3286 | vcod = dvector(1, 6); |
---|
| 3287 | |
---|
| 3288 | // starting point |
---|
| 3289 | for (k = 1; k <= 6; k++) |
---|
| 3290 | vcod[k] = 0.0; |
---|
| 3291 | |
---|
| 3292 | vcod[5] = dP; // energy offset |
---|
| 3293 | |
---|
| 3294 | if (globval.Cavity_on) { |
---|
| 3295 | dim = 6; /* 6D tracking*/ |
---|
| 3296 | fprintf(stdout, "Error looking for cod in 6D\n"); |
---|
| 3297 | exit_(1); |
---|
| 3298 | } else { |
---|
| 3299 | dim = 4; /* 4D tracking */ |
---|
| 3300 | vcod[1] = Cell[0].Eta[0] * dP; |
---|
| 3301 | vcod[2] = Cell[0].Etap[0] * dP; |
---|
| 3302 | vcod[3] = Cell[0].Eta[1] * dP; |
---|
| 3303 | vcod[4] = Cell[0].Etap[1] * dP; |
---|
| 3304 | } |
---|
| 3305 | |
---|
| 3306 | Newton_RaphsonS(ntrial, vcod, dim, tolx); |
---|
| 3307 | |
---|
| 3308 | if (status.codflag == false) |
---|
| 3309 | fprintf(stdout, "Error No COD found\n"); |
---|
| 3310 | if (trace) { |
---|
| 3311 | for (k = 1; k <= 6; k++) |
---|
| 3312 | x0[k - 1] = vcod[k]; |
---|
| 3313 | fprintf(stdout, "Before cod % .5e % .5e % .5e % .5e % .5e % .5e \n", |
---|
| 3314 | x0[0], x0[1], x0[2], x0[3], x0[4], x0[5]); |
---|
| 3315 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); |
---|
| 3316 | fprintf(stdout, "After cod % .5e % .5e % .5e % .5e % .5e % .5e \n", |
---|
| 3317 | x0[0], x0[1], x0[2], x0[3], x0[4], x0[5]); |
---|
| 3318 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); |
---|
| 3319 | } |
---|
| 3320 | free_dvector(vcod, 1, 6); |
---|
| 3321 | } |
---|
| 3322 | |
---|
| 3323 | /****************************************************************************/ |
---|
| 3324 | /* void findcod(double dP) |
---|
| 3325 | |
---|
| 3326 | Purpose: |
---|
| 3327 | Search for the closed orbit using a numerical method |
---|
| 3328 | Algo: Newton_Raphson method |
---|
| 3329 | Quadratic convergence |
---|
| 3330 | May need a guess starting point |
---|
| 3331 | Simple precision algorithm |
---|
| 3332 | 4D |
---|
| 3333 | Starting point: linear closed orbit |
---|
| 3334 | |
---|
| 3335 | 6D |
---|
| 3336 | Starting point: zero |
---|
| 3337 | if radiation on : x[5] is the synchroneous phase (equilibrium RF phase) |
---|
| 3338 | off: x[5] is zero |
---|
| 3339 | |
---|
| 3340 | Input: |
---|
| 3341 | dP energy offset |
---|
| 3342 | |
---|
| 3343 | Output: |
---|
| 3344 | none |
---|
| 3345 | |
---|
| 3346 | Return: |
---|
| 3347 | vcod: 6-D closed orbit |
---|
| 3348 | |
---|
| 3349 | Global variables: |
---|
| 3350 | none |
---|
| 3351 | |
---|
| 3352 | specific functions: |
---|
| 3353 | Newton_Raphson |
---|
| 3354 | |
---|
| 3355 | Comments: |
---|
| 3356 | Method introduced because of bad convergence of da for ID |
---|
| 3357 | using RADIA maps |
---|
| 3358 | |
---|
| 3359 | ****************************************************************************/ |
---|
| 3360 | void findcod(double dP) { |
---|
| 3361 | Vector vcod; |
---|
| 3362 | const int ntrial = 40; // maximum number of trials for closed orbit |
---|
| 3363 | const double tolx = 1e-10; // numerical precision |
---|
[11] | 3364 | int k=0, dim = 0; |
---|
| 3365 | long lastpos=0L; |
---|
[3] | 3366 | |
---|
| 3367 | // initializations |
---|
| 3368 | for (k = 0; k <= 5; k++) |
---|
| 3369 | vcod[k] = 0.0; |
---|
| 3370 | |
---|
| 3371 | if (globval.Cavity_on) { |
---|
| 3372 | fprintf(stdout, "warning looking for cod in 6D\n"); |
---|
| 3373 | dim = 6; |
---|
| 3374 | } else { // starting point linear closed orbit |
---|
| 3375 | dim = 4; |
---|
| 3376 | vcod[0] = Cell[0].Eta[0] * dP; |
---|
| 3377 | vcod[1] = Cell[0].Etap[0] * dP; |
---|
| 3378 | vcod[2] = Cell[0].Eta[1] * dP; |
---|
| 3379 | vcod[3] = Cell[0].Etap[1] * dP; |
---|
| 3380 | vcod[4] = dP; // energy offset |
---|
| 3381 | } |
---|
| 3382 | |
---|
| 3383 | Newton_Raphson(dim, vcod, ntrial, tolx); |
---|
| 3384 | |
---|
| 3385 | if (status.codflag == false) |
---|
| 3386 | fprintf(stdout, "Error No COD found\n"); |
---|
| 3387 | |
---|
| 3388 | CopyVec(6, vcod, globval.CODvect); // save closed orbit at the ring entrance |
---|
| 3389 | |
---|
| 3390 | if (trace) { |
---|
| 3391 | fprintf(stdout, "Before cod2 % .5e % .5e % .5e % .5e % .5e % .5e \n", |
---|
| 3392 | vcod[0], vcod[1], vcod[2], vcod[3], vcod[4], vcod[5]); |
---|
| 3393 | Cell_Pass(0, globval.Cell_nLoc, vcod, lastpos); |
---|
| 3394 | fprintf(stdout, "After cod2 % .5e % .5e % .5e % .5e % .5e % .5e \n", |
---|
| 3395 | vcod[0], vcod[1], vcod[2], vcod[3], vcod[4], vcod[5]); |
---|
| 3396 | } |
---|
| 3397 | } |
---|
| 3398 | /****************************************************************************/ |
---|
| 3399 | /* void computeFandJS(double *x, int n, double **fjac, double *fvect) |
---|
| 3400 | |
---|
| 3401 | Purpose: |
---|
| 3402 | Simple precision algo |
---|
| 3403 | Tracks x over one turn. And computes the Jacobian matrix of the |
---|
| 3404 | transformation by numerical differentiation. |
---|
| 3405 | using forward difference formula : faster but less accurate |
---|
| 3406 | using symmetric difference formula |
---|
| 3407 | |
---|
| 3408 | Input: |
---|
| 3409 | x vector for evaluation |
---|
| 3410 | n dimension 4 or 6 |
---|
| 3411 | |
---|
| 3412 | Output: |
---|
| 3413 | fvect transport of x over one turn |
---|
| 3414 | fjac Associated jacobian matrix |
---|
| 3415 | |
---|
| 3416 | Return: |
---|
| 3417 | none |
---|
| 3418 | |
---|
| 3419 | Global variables: |
---|
| 3420 | none |
---|
| 3421 | |
---|
| 3422 | specific functions: |
---|
| 3423 | none |
---|
| 3424 | |
---|
| 3425 | Comments: |
---|
| 3426 | none |
---|
| 3427 | |
---|
| 3428 | ****************************************************************************/ |
---|
| 3429 | |
---|
| 3430 | void computeFandJS(double *x, int n, double **fjac, double *fvect) { |
---|
[11] | 3431 | int i=0, k=0; |
---|
[3] | 3432 | long lastpos = 0L; |
---|
| 3433 | Vector x0, fx, fx1, fx2; |
---|
| 3434 | |
---|
| 3435 | const double deps = 1e-8; //stepsize for numerical differentiation |
---|
| 3436 | |
---|
| 3437 | for (i = 1; i <= 6; i++) |
---|
| 3438 | x0[i - 1] = x[i]; |
---|
| 3439 | |
---|
| 3440 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); |
---|
| 3441 | |
---|
| 3442 | for (i = 1; i <= n; i++) { |
---|
| 3443 | fvect[i] = x0[i - 1]; |
---|
| 3444 | fx[i - 1] = x0[i - 1]; |
---|
| 3445 | } |
---|
| 3446 | |
---|
| 3447 | // compute Jacobian matrix by numerical differentiation |
---|
| 3448 | for (k = 0; k < n; k++) { |
---|
| 3449 | for (i = 1; i <= 6; i++) |
---|
| 3450 | x0[i - 1] = x[i]; |
---|
| 3451 | x0[k] += deps; // differential step in coordinate k |
---|
| 3452 | |
---|
| 3453 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); // tracking along the ring |
---|
| 3454 | for (i = 1; i <= 6; i++) |
---|
| 3455 | fx1[i - 1] = x0[i - 1]; |
---|
| 3456 | |
---|
| 3457 | for (i = 1; i <= 6; i++) |
---|
| 3458 | x0[i - 1] = x[i]; |
---|
| 3459 | x0[5] = 0.0; |
---|
| 3460 | x0[k] -= deps; // differential step in coordinate k |
---|
| 3461 | |
---|
| 3462 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); // tracking along the ring |
---|
| 3463 | for (i = 1; i <= 6; i++) |
---|
| 3464 | fx2[i - 1] = x0[i - 1]; |
---|
| 3465 | |
---|
| 3466 | for (i = 1; i <= n; i++) // symmetric difference formula |
---|
| 3467 | fjac[i][k + 1] = 0.5 * (fx1[i - 1] - fx2[i - 1]) / deps; |
---|
| 3468 | //~ for (i = 1; i <= n; i++) // forward difference formula |
---|
| 3469 | //~ fjac[i][k + 1] = (float) ((x0[i - 1] - fx[i - 1]) / deps); |
---|
| 3470 | } |
---|
| 3471 | } |
---|
| 3472 | |
---|
| 3473 | /****************************************************************************/ |
---|
| 3474 | /* void computeFand(int n, float *x, float **fjac, float *fvect) |
---|
| 3475 | |
---|
| 3476 | Purpose: |
---|
| 3477 | Tracks x over one turn. And computes the Jacobian matrix of the |
---|
| 3478 | transformation by numerical differentiation. |
---|
| 3479 | using symmetric difference formula |
---|
| 3480 | double precision algorithm |
---|
| 3481 | |
---|
| 3482 | Input: |
---|
| 3483 | x vector for evaluation |
---|
| 3484 | |
---|
| 3485 | Output: |
---|
| 3486 | fvect transport of x over one turn |
---|
| 3487 | fjac Associated jacobian matrix |
---|
| 3488 | |
---|
| 3489 | Return: |
---|
| 3490 | none |
---|
| 3491 | |
---|
| 3492 | Global variables: |
---|
| 3493 | none |
---|
| 3494 | |
---|
| 3495 | specific functions: |
---|
| 3496 | none |
---|
| 3497 | |
---|
| 3498 | Comments: |
---|
| 3499 | none |
---|
| 3500 | |
---|
| 3501 | ****************************************************************************/ |
---|
| 3502 | void computeFandJ(int n, Vector &x, Matrix &fjac, Vector &fvect) { |
---|
[11] | 3503 | int i=0, k=0; |
---|
[3] | 3504 | long lastpos = 0; |
---|
| 3505 | Vector x0, fx1, fx2; |
---|
| 3506 | |
---|
| 3507 | const double deps = 1e-8; //stepsize for numerical differentiation |
---|
| 3508 | |
---|
| 3509 | CopyVec(6, x, x0); |
---|
| 3510 | |
---|
| 3511 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); |
---|
| 3512 | CopyVec(n, x0, fvect); |
---|
| 3513 | |
---|
| 3514 | // compute Jacobian matrix by numerical differentiation |
---|
| 3515 | for (k = 0; k < n; k++) { |
---|
| 3516 | CopyVec(6L, x, x0); |
---|
| 3517 | x0[k] += deps; // differential step in coordinate k |
---|
| 3518 | |
---|
| 3519 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); // tracking along the ring |
---|
| 3520 | CopyVec(6L, x0, fx1); |
---|
| 3521 | |
---|
| 3522 | CopyVec(6L, x, x0); |
---|
| 3523 | x0[k] -= deps; // differential step in coordinate k |
---|
| 3524 | |
---|
| 3525 | Cell_Pass(0, globval.Cell_nLoc, x0, lastpos); // tracking along the ring |
---|
| 3526 | CopyVec(6L, x0, fx2); |
---|
| 3527 | |
---|
| 3528 | for (i = 0; i < n; i++) // symmetric difference formula |
---|
| 3529 | fjac[i][k] = 0.5 * (fx1[i] - fx2[i]) / deps; |
---|
| 3530 | } |
---|
| 3531 | } |
---|
| 3532 | |
---|
| 3533 | /****************************************************************************/ |
---|
| 3534 | /* void Newton_RaphsonS(int ntrial,double x[],int n,double tolx, double tolf) |
---|
| 3535 | |
---|
| 3536 | Purpose: |
---|
| 3537 | Newton_Rapson algorithm from Numerical Recipes |
---|
| 3538 | single precision algorithm |
---|
| 3539 | Robustess: quadratic convergence |
---|
| 3540 | Hint: for n-dimensional problem, the algo can be stuck on local minimum |
---|
| 3541 | In this case, it should be enough to provide a resonable starting |
---|
| 3542 | point. |
---|
| 3543 | |
---|
| 3544 | Method: |
---|
| 3545 | look for closed orbit solution of f(x) = x |
---|
| 3546 | This problems is equivalent to finding the zero of g(x)= f(x) - x |
---|
| 3547 | g(x+h) ~= f(x) - x + (Jacobian(f) -Id) h + O(h*h) |
---|
| 3548 | Then at first order we solve h: |
---|
| 3549 | h = - inverse(Jacobian(f) -Id) * (f(x)-x) |
---|
| 3550 | the new guess is then xnew = x + h |
---|
| 3551 | By iteration, this converges quadratically. |
---|
| 3552 | |
---|
| 3553 | The algo is stopped whenever |x -xnew| < tolx |
---|
| 3554 | |
---|
| 3555 | f(x) is computes by tracking over one turn |
---|
| 3556 | Jacobian(f) is computed numerically by numerical differentiation |
---|
| 3557 | These two operations are provided by the function computeFandJ |
---|
| 3558 | |
---|
| 3559 | Input: |
---|
| 3560 | ntrial number of iterations for closed zero search |
---|
| 3561 | n number of dimension 4 or 6 |
---|
| 3562 | x intial guess for the closed orbit |
---|
| 3563 | tolx tolerance over the solution x |
---|
| 3564 | tolf tolerance over the evalution f(x) |
---|
| 3565 | |
---|
| 3566 | Output: |
---|
| 3567 | x closed orbit |
---|
| 3568 | |
---|
| 3569 | Return: |
---|
| 3570 | none |
---|
| 3571 | |
---|
| 3572 | Global variables: |
---|
| 3573 | status |
---|
| 3574 | |
---|
| 3575 | specific functions: |
---|
| 3576 | computeFandJS |
---|
| 3577 | ludcmp,lubksb |
---|
| 3578 | |
---|
| 3579 | Comments: |
---|
| 3580 | none |
---|
| 3581 | |
---|
| 3582 | ****************************************************************************/ |
---|
| 3583 | |
---|
| 3584 | void Newton_RaphsonS(int ntrial, double x[], int n, double tolx) { |
---|
[11] | 3585 | int k=0, i=0, *indx; |
---|
| 3586 | double errx=0.0, d=0.0, *bet, *fvect, **alpha; |
---|
[3] | 3587 | |
---|
| 3588 | errx = 0.0; |
---|
| 3589 | // NR arrays start from 1 and not 0 !!! |
---|
| 3590 | indx = ivector(1, n); |
---|
| 3591 | bet = dvector(1, n); |
---|
| 3592 | fvect = dvector(1, n); |
---|
| 3593 | alpha = dmatrix(1, n, 1, n); |
---|
| 3594 | |
---|
| 3595 | for (k = 1; k <= ntrial; k++) { // loop over number of iterations |
---|
| 3596 | // supply function values at x in fvect and Jacobian matrix in fjac |
---|
| 3597 | computeFandJS(x, n, alpha, fvect); |
---|
| 3598 | |
---|
| 3599 | // Jacobian -Id |
---|
| 3600 | for (i = 1; i <= n; i++) |
---|
| 3601 | alpha[i][i] -= 1.0; |
---|
| 3602 | for (i = 1; i <= n; i++) |
---|
| 3603 | bet[i] = x[i] - fvect[i]; // right side of linear equation |
---|
| 3604 | // solve linear equations using LU decomposition using NR routines |
---|
| 3605 | dludcmp(alpha, n, indx, &d); |
---|
| 3606 | dlubksb(alpha, n, indx, bet); |
---|
| 3607 | errx = 0.0; // check root convergence |
---|
| 3608 | for (i = 1; i <= n; i++) { // update solution |
---|
| 3609 | errx += fabs(bet[i]); |
---|
| 3610 | x[i] += bet[i]; |
---|
| 3611 | } |
---|
| 3612 | |
---|
| 3613 | if (trace) |
---|
| 3614 | fprintf( |
---|
| 3615 | stdout, |
---|
| 3616 | "%02d: cod % .5e % .5e % .5e % .5e % .5e % .5e errx =% .5e\n", |
---|
| 3617 | k, x[1], x[2], x[3], x[4], x[5], x[6], errx); |
---|
| 3618 | if (errx <= tolx) { |
---|
| 3619 | status.codflag = true; |
---|
| 3620 | break; |
---|
| 3621 | } |
---|
| 3622 | } |
---|
| 3623 | // check whenver closed orbit found out |
---|
| 3624 | if ((k >= ntrial) && (errx >= tolx * 100)) |
---|
| 3625 | status.codflag = false; |
---|
| 3626 | |
---|
| 3627 | free_dmatrix(alpha, 1, n, 1, n); |
---|
| 3628 | free_dvector(bet, 1, n); |
---|
| 3629 | free_dvector(fvect, 1, n); |
---|
| 3630 | free_ivector(indx, 1, n); |
---|
| 3631 | } |
---|
| 3632 | |
---|
| 3633 | /****************************************************************************/ |
---|
| 3634 | /* int Newton_Raphson(int n, double x[], int ntrial, double tolx) |
---|
| 3635 | |
---|
| 3636 | Purpose: |
---|
| 3637 | Newton_Rapson algorithm from Numerical Recipes |
---|
| 3638 | double precision algorithm |
---|
| 3639 | Robustess: quadratic convergence |
---|
| 3640 | Hint: for n-dimensional problem, the algo can be stuck on local minimum |
---|
| 3641 | In this case, it should be enough to provide a resonable starting |
---|
| 3642 | point. |
---|
| 3643 | |
---|
| 3644 | Method: |
---|
| 3645 | look for closed orbit solution of f(x) = x |
---|
| 3646 | This problems is equivalent to finding the zero of g(x)= f(x) - x |
---|
| 3647 | g(x+h) ~= f(x) - x + (Jacobian(f) -Id) h + O(h*h) |
---|
| 3648 | Then at first order we solve h: |
---|
| 3649 | h = - inverse(Jacobian(f) -Id) * (f(x)-x) |
---|
| 3650 | the new guess is then xnew = x + h |
---|
| 3651 | By iteration, this converges quadratically. |
---|
| 3652 | |
---|
| 3653 | The algo is stopped whenever |x -xnew| < tolx |
---|
| 3654 | |
---|
| 3655 | f(x) is computes by tracking over one turn |
---|
| 3656 | Jacobian(f) is computed numerically by numerical differentiation |
---|
| 3657 | These two operations are provided by the function computeFandJ |
---|
| 3658 | |
---|
| 3659 | Input: |
---|
| 3660 | ntrial number of iterations for closed zero search |
---|
| 3661 | x intial guess for the closed orbit |
---|
| 3662 | tolx tolerance over the solution x |
---|
| 3663 | tolf tolerance over the evalution f(x) |
---|
| 3664 | |
---|
| 3665 | Output: |
---|
| 3666 | x closed orbit |
---|
| 3667 | |
---|
| 3668 | Return: |
---|
| 3669 | none |
---|
| 3670 | |
---|
| 3671 | Global variables: |
---|
| 3672 | status |
---|
| 3673 | |
---|
| 3674 | specific functions: |
---|
| 3675 | computeFandJ |
---|
| 3676 | InvMat, LinTrans |
---|
| 3677 | |
---|
| 3678 | Comments: |
---|
| 3679 | none |
---|
| 3680 | |
---|
| 3681 | ****************************************************************************/ |
---|
| 3682 | int Newton_Raphson(int n, Vector &x, int ntrial, double tolx) { |
---|
[11] | 3683 | int k=0, i=0; |
---|
| 3684 | double errx=0.0; |
---|
[3] | 3685 | Vector bet, fvect; |
---|
| 3686 | Matrix alpha; |
---|
| 3687 | |
---|
| 3688 | errx = 0.0; |
---|
| 3689 | |
---|
| 3690 | for (k = 1; k <= ntrial; k++) { // loop over number of iterations |
---|
| 3691 | // supply function values at x in fvect and Jacobian matrix in fjac |
---|
| 3692 | computeFandJ(n, x, alpha, fvect); |
---|
| 3693 | |
---|
| 3694 | // Jacobian - Id |
---|
| 3695 | for (i = 0; i < n; i++) |
---|
| 3696 | alpha[i][i] -= 1.0; |
---|
| 3697 | for (i = 0; i < n; i++) |
---|
| 3698 | bet[i] = x[i] - fvect[i]; // right side of linear equation |
---|
| 3699 | // inverse matrix using gauss jordan method from Tracy (from NR) |
---|
| 3700 | if (!InvMat((long) n, alpha)) |
---|
| 3701 | fprintf(stdout, "Matrix non inversible ...\n"); |
---|
| 3702 | LinTrans((long) n, alpha, bet); // bet = alpha*bet |
---|
| 3703 | errx = 0.0; // check root convergence |
---|
| 3704 | for (i = 0; i < n; i++) { // update solution |
---|
| 3705 | errx += fabs(bet[i]); |
---|
| 3706 | x[i] += bet[i]; |
---|
| 3707 | } |
---|
| 3708 | |
---|
| 3709 | if (trace) |
---|
| 3710 | fprintf( |
---|
| 3711 | stdout, |
---|
| 3712 | "%02d: cod2 % .5e % .5e % .5e % .5e % .5e % .5e errx =% .5e\n", |
---|
| 3713 | k, x[0], x[1], x[2], x[3], x[4], x[5], errx); |
---|
| 3714 | if (errx <= tolx) { |
---|
| 3715 | status.codflag = true; |
---|
| 3716 | return 1; |
---|
| 3717 | } |
---|
| 3718 | } |
---|
| 3719 | // check whever closed orbit found out |
---|
| 3720 | if ((k >= ntrial) && (errx >= tolx)) { |
---|
| 3721 | status.codflag = false; |
---|
| 3722 | return 1; |
---|
| 3723 | } |
---|
| 3724 | return 0; |
---|
| 3725 | } |
---|
[11] | 3726 | /******************************************************************************* |
---|
| 3727 | * |
---|
| 3728 | * |
---|
| 3729 | * |
---|
| 3730 | * |
---|
| 3731 | ******************************************************************************/ |
---|
[3] | 3732 | void rm_mean(long int n, double x[]) { |
---|
[11] | 3733 | long int i=0L; |
---|
| 3734 | double mean=0.0; |
---|
[3] | 3735 | |
---|
| 3736 | for (i = 0; i < n; i++) |
---|
| 3737 | mean += x[i]; |
---|
| 3738 | mean /= n; |
---|
| 3739 | for (i = 0; i < n; i++) |
---|
| 3740 | x[i] -= mean; |
---|
| 3741 | } |
---|