| 1 | /***************************************************************************
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| 2 | * FILE: ser_pi_calc.c
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| 3 | * DESCRIPTION:
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| 4 | * Serial pi Calculation - C Version
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| 5 | * This program calculates pi using a "dartboard" algorithm. See
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| 6 | * Fox et al.(1988) Solving Problems on Concurrent Processors, vol.1
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| 7 | * page 207.
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| 8 | * AUTHOR: unknown
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| 9 | * REVISED: 02/23/12 Blaise Barney
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| 10 | ***************************************************************************/
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| 11 | #include <stdio.h>
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| 12 | #include <stdlib.h>
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| 13 |
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| 14 | //void srandom (unsigned seed);
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| 15 | double dboard (int darts);
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| 16 |
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| 17 | #pragma CIVL $output double __pi;
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| 18 |
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| 19 | #define DARTS 1 /* number of throws at dartboard */
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| 20 | #define ROUNDS 1 /* number of times "darts" is iterated */
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| 21 |
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| 22 | int main(int argc, char *argv[])
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| 23 | {
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| 24 | double pi; /* average of pi after "darts" is thrown */
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| 25 | double avepi; /* average pi value for all iterations */
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| 26 | int i, n;
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| 27 |
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| 28 | printf("Starting serial version of pi calculation using dartboard algorithm...\n");
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| 29 | srandom (5); /* seed the random number generator */
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| 30 | avepi = 0;
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| 31 | for (i = 0; i < ROUNDS; i++) {
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| 32 | /* Perform pi calculation on serial processor */
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| 33 | pi = dboard(DARTS);
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| 34 | avepi = ((avepi * i) + pi)/(i + 1);
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| 35 | printf(" After %3d throws, average value of pi = %10.8f\n",
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| 36 | (DARTS * (i + 1)),avepi);
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| 37 | }
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| 38 | #pragma CIVL __pi = avepi;
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| 39 | printf("\nReal value of PI: 3.1415926535897 \n");
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| 40 | }
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| 41 |
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| 42 |
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| 43 | /*****************************************************************************
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| 44 | * dboard
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| 45 | *****************************************************************************/
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| 46 | #define sqr(x) ((x)*(x))
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| 47 | long random(void);
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| 48 |
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| 49 | double dboard(int darts)
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| 50 | {
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| 51 | double x_coord, /* x coordinate, between -1 and 1 */
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| 52 | y_coord, /* y coordinate, between -1 and 1 */
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| 53 | pi, /* pi */
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| 54 | r; /* random number scaled between 0 and 1 */
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| 55 | int score, /* number of darts that hit circle */
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| 56 | n;
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| 57 | unsigned int cconst; /* must be 4-bytes in size */
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| 58 | /*************************************************************************
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| 59 | * The cconst variable must be 4 bytes. We check this and bail if it is
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| 60 | * not the right size
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| 61 | ************************************************************************/
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| 62 | /*if (sizeof(cconst) != 4) {
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| 63 | printf("Wrong data size for cconst variable in dboard routine!\n");
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| 64 | printf("See comments in source file. Quitting.\n");
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| 65 | exit(1);
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| 66 | }*/
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| 67 | /* 2 bit shifted to MAX_RAND later used to scale random number between 0 and 1 */
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| 68 | cconst = 9;
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| 69 | score = 0;
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| 70 |
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| 71 | /***********************************************************************
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| 72 | * Throw darts at board. Done by generating random numbers
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| 73 | * between 0 and 1 and converting them to values for x and y
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| 74 | * coordinates and then testing to see if they "land" in
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| 75 | * the circle." If so, score is incremented. After throwing the
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| 76 | * specified number of darts, pi is calculated. The computed value
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| 77 | * of pi is returned as the value of this function, dboard.
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| 78 | ************************************************************************/
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| 79 |
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| 80 | for (n = 1; n <= darts; n++) {
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| 81 | /* generate random numbers for x and y coordinates */
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| 82 | r = (double)random()/cconst;
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| 83 | x_coord = (2.0 * r) - 1.0;
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| 84 | r = (double)random()/cconst;
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| 85 | y_coord = (2.0 * r) - 1.0;
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| 86 |
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| 87 | /* if dart lands in circle, increment score */
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| 88 | if ((sqr(x_coord) + sqr(y_coord)) <= 1.0)
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| 89 | score++;
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| 90 | }
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| 91 |
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| 92 | /* calculate pi */
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| 93 | pi = 4.0 * (double)score/(double)darts;
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| 94 | return(pi);
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| 95 | }
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