From b84420fdf1df78a4cc7369e182b09d3123811dbc Mon Sep 17 00:00:00 2001 From: dimakuv Date: Sat, 25 Apr 2015 15:31:21 +0200 Subject: [PATCH] initial commit --- c_sequential/3sat/3sat.c | 97 ++++++++++++++++++++ c_sequential/3sat/Makefile | 19 ++++ c_sequential/bucketsort/Makefile | 20 +++++ c_sequential/bucketsort/bucketsort.c | 54 ++++++++++++ c_sequential/bucketsort/bucketsort.h | 6 ++ c_sequential/bucketsort/main.c | 65 ++++++++++++++ c_sequential/friendly/Makefile | 20 +++++ c_sequential/friendly/friendly.c | 69 +++++++++++++++ c_sequential/haar/Makefile | 27 ++++++ c_sequential/haar/haar.c | 127 +++++++++++++++++++++++++++ c_sequential/haar/input_generator.c | 54 ++++++++++++ c_sequential/knapsack/Makefile | 20 +++++ c_sequential/knapsack/knapsack.c | 67 ++++++++++++++ problemset.pdf | Bin 0 -> 465381 bytes 14 files changed, 645 insertions(+) create mode 100644 c_sequential/3sat/3sat.c create mode 100644 c_sequential/3sat/Makefile create mode 100644 c_sequential/bucketsort/Makefile create mode 100644 c_sequential/bucketsort/bucketsort.c create mode 100644 c_sequential/bucketsort/bucketsort.h create mode 100644 c_sequential/bucketsort/main.c create mode 100644 c_sequential/friendly/Makefile create mode 100644 c_sequential/friendly/friendly.c create mode 100644 c_sequential/haar/Makefile create mode 100644 c_sequential/haar/haar.c create mode 100644 c_sequential/haar/input_generator.c create mode 100644 c_sequential/knapsack/Makefile create mode 100644 c_sequential/knapsack/knapsack.c create mode 100644 problemset.pdf diff --git a/c_sequential/3sat/3sat.c b/c_sequential/3sat/3sat.c new file mode 100644 index 0000000..2829ff4 --- /dev/null +++ b/c_sequential/3sat/3sat.c @@ -0,0 +1,97 @@ +#include +#include +#include + +// Solves the 3-SAT system using an exaustive search +// It finds all the possible values for the set of variables using +// a number. The binary representation of this number represents +// the values of the variables. Since a long variable has 64 bits, +// this implementations works with problems with up to 64 variables. +long solveClauses(short **clauses, int nClauses, int nVar) { + + long *iVar = (long *) malloc(nVar * sizeof(long)); + int i; + for (i = 0; i < nVar; i++) + iVar[i] = exp2(i); + + unsigned long maxNumber = exp2(nVar); + long number; + short var; + int c; + + for (number = 0; number < maxNumber; number++) { + + for (c = 0; c < nClauses; c++) { + + var = clauses[0][c]; + if (var > 0 && (number & iVar[var - 1]) > 0) + continue; // clause is true + else if (var < 0 && (number & iVar[-var - 1]) == 0) + continue; // clause is true + + var = clauses[1][c]; + if (var > 0 && (number & iVar[var - 1]) > 0) + continue; // clause is true + else if (var < 0 && (number & iVar[-var - 1]) == 0) + continue; // clause is true + + var = clauses[2][c]; + if (var > 0 && (number & iVar[var - 1]) > 0) + continue; // clause is true + else if (var < 0 && (number & iVar[-var - 1]) == 0) + continue; // clause is true + + break; // clause is false + } + + if (c == nClauses) + return number; + + } + return -1; + +} + +// Read nClauses clauses of size 3. nVar represents the number of variables +// Clause[0][i], Clause[1][i] and Clause[2][i] contains the 3 elements of the i-esime clause. +// Each element of the caluse vector may contain values selected from: +// k = -nVar, ..., -2, -1, 1, 2, ..., nVar. The value of k represents the index of the variable. +// A negative value remains the negation of the variable. +short **readClauses(int nClauses, int nVar) { + + short **clauses = (short **) malloc(3 * sizeof(short *)); + clauses[0] = (short *) malloc(nClauses * sizeof(short)); + clauses[1] = (short *) malloc(nClauses * sizeof(short)); + clauses[2] = (short *) malloc(nClauses * sizeof(short)); + + int i; + for (i = 0; i < nClauses; i++) { + scanf("%hd %hd %hd", &clauses[0][i], &clauses[1][i], &clauses[2][i]); + } + + return clauses; +} + +int main(int argc, char *argv[]) { + + int nClauses; + int nVar; + + scanf("%d %d", &nClauses, &nVar); + + short **clauses = readClauses(nClauses, nVar); + + long solution = solveClauses(clauses, nClauses, nVar); + + int i; + if (solution >= 0) { + printf("Solution found [%ld]: ", solution); + for (i = 0; i < nVar; i++) + printf("%d ", (int) ((solution & (long) exp2(i)) / exp2(i))); + printf("\n"); + } else + printf("Solution not found.\n"); + + return EXIT_SUCCESS; +} + diff --git a/c_sequential/3sat/Makefile b/c_sequential/3sat/Makefile new file mode 100644 index 0000000..4b34c9c --- /dev/null +++ b/c_sequential/3sat/Makefile @@ -0,0 +1,19 @@ +CC = gcc +FLAGS = -O3 -Wall -Wno-unused-result + +SRC = 3sat.c +EXEC = bin/3sat + +all: make_dirs $(EXEC) + +clean: + rm -f -r bin + +make_dirs: + mkdir -p bin + +$(EXEC): $(SRC) + $(CC) $(FLAGS) $^ -o $@ -lm + +run: + ./$(EXEC) < input/small1.in diff --git a/c_sequential/bucketsort/Makefile b/c_sequential/bucketsort/Makefile new file mode 100644 index 0000000..a886663 --- /dev/null +++ b/c_sequential/bucketsort/Makefile @@ -0,0 +1,20 @@ +CC = gcc +FLAGS = -O3 -Wall -Wno-unused-result + +SRC = bucketsort.c main.c +EXEC = bin/bucketsort + +all: make_dirs $(EXEC) + +clean: + rm -f -r bin + +make_dirs: + mkdir -p bin + +$(EXEC): $(SRC) + $(CC) $(FLAGS) $^ -o $@ + +run: + ./$(EXEC) input/medium.in input/medium.out + diff --git a/c_sequential/bucketsort/bucketsort.c b/c_sequential/bucketsort/bucketsort.c new file mode 100644 index 0000000..888ffb2 --- /dev/null +++ b/c_sequential/bucketsort/bucketsort.c @@ -0,0 +1,54 @@ +#include +#include +#include "bucketsort.h" + +#define N_BUCKETS 94 + +typedef struct { + long int *data; + int length; + long int total; +} bucket; + +void sort(char *a, bucket *bucket) { + int j, i, length; + long int key; + length = bucket->length; + for (j = 1; j < bucket->total; j++) { + key = bucket->data[j]; + i = j - 1; + while (i >= 0 + && strcmp(a + bucket->data[i] * length, a + key * length) > 0) { + bucket->data[i + 1] = bucket->data[i]; + i--; + } + bucket->data[i + 1] = key; + } +} + +long int* bucket_sort(char *a, int length, long int size) { + + long int i; + bucket buckets[N_BUCKETS], *b; + long int *returns; + + // allocate memory + returns = malloc(sizeof(long int) * size); + for (i = 0; i < N_BUCKETS; i++) { + buckets[i].data = returns + i * size / N_BUCKETS; + buckets[i].length = length; + buckets[i].total = 0; + } + + // copy the keys to "buckets" + for (i = 0; i < size; i++) { + b = &buckets[*(a + i * length) - 0x21]; + b->data[b->total++] = i; + } + + // sort each "bucket" + for (i = 0; i < N_BUCKETS; i++) + sort(a, &buckets[i]); + + return returns; +} diff --git a/c_sequential/bucketsort/bucketsort.h b/c_sequential/bucketsort/bucketsort.h new file mode 100644 index 0000000..ad891cf --- /dev/null +++ b/c_sequential/bucketsort/bucketsort.h @@ -0,0 +1,6 @@ +#ifndef BUCKETSORT_H_ +#define BUCKETSORT_H_ + +long int* bucket_sort(char *, int, long int); + +#endif /* BUCKETSORT_H_ */ diff --git a/c_sequential/bucketsort/main.c b/c_sequential/bucketsort/main.c new file mode 100644 index 0000000..8a4bc6d --- /dev/null +++ b/c_sequential/bucketsort/main.c @@ -0,0 +1,65 @@ +#include +#include +#include "bucketsort.h" + +#define LENGTH 8 + +FILE *fin, *fout; + +char *strings; +long int N; + +void openfiles(char* in, char* out) { + fin = fopen(in, "r+"); + if (fin == NULL) { + perror("fopen fin"); + exit(EXIT_FAILURE); + } + + fout = fopen(out, "w"); + if (fout == NULL) { + perror("fopen fout"); + exit(EXIT_FAILURE); + } +} + +void closefiles(void) { + fclose(fin); + fclose(fout); +} + +int main(int argc, char* argv[]) { + long int i, *r; + + if (argc != 3) { + printf("usage: %s [input_file] [output_file]\n", argv[0]); + return 0; + } + + openfiles(argv[1], argv[2]); + + fscanf(fin, "%ld", &N); + strings = (char*) malloc(N * LENGTH); + if (strings == NULL) { + perror("malloc strings"); + exit(EXIT_FAILURE); + } + + for (i = 0; i < N; i++) + fscanf(fin, "%s", strings + (i * LENGTH)); + + fflush(stdout); + + r = bucket_sort(strings, LENGTH, N); + + fflush(stdout); + + for (i = 0; i < N; i++) + fprintf(fout, "%s\n", strings + (r[i] * LENGTH)); + + free(r); + free(strings); + closefiles(); + + return EXIT_SUCCESS; +} diff --git a/c_sequential/friendly/Makefile b/c_sequential/friendly/Makefile new file mode 100644 index 0000000..20d727a --- /dev/null +++ b/c_sequential/friendly/Makefile @@ -0,0 +1,20 @@ +CC = gcc +FLAGS = -O3 -Wall -Wno-unused-result + +SRC = friendly.c +EXEC = bin/friendly + +all: make_dirs $(EXEC) + +clean: + rm -f -r bin + +make_dirs: + mkdir -p bin + +$(EXEC): $(SRC) + $(CC) $(FLAGS) $^ -o $@ + +run: + ./$(EXEC) < input/small.in + diff --git a/c_sequential/friendly/friendly.c b/c_sequential/friendly/friendly.c new file mode 100644 index 0000000..2f572c7 --- /dev/null +++ b/c_sequential/friendly/friendly.c @@ -0,0 +1,69 @@ +#include +#include +#include + +int gcd(int u, int v) { + if (v == 0) + return u; + return gcd(v, u % v); +} + +void friendly_numbers(long int start, long int end) { + long int last = end - start + 1; + + long int *the_num; + the_num = (long int*) malloc(sizeof(long int) * last); + long int *num; + num = (long int*) malloc(sizeof(long int) * last); + long int *den; + den = (long int*) malloc(sizeof(long int) * last); + + long int i, j, factor, ii, sum, done, n; + + for (i = start; i <= end; i++) { + ii = i - start; + sum = 1 + i; + the_num[ii] = i; + done = i; + factor = 2; + while (factor < done) { + if ((i % factor) == 0) { + sum += (factor + (i / factor)); + if ((done = i / factor) == factor) + sum -= factor; + } + factor++; + } + num[ii] = sum; + den[ii] = i; + n = gcd(num[ii], den[ii]); + num[ii] /= n; + den[ii] /= n; + } // end for + + for (i = 0; i < last; i++) { + for (j = i + 1; j < last; j++) { + if ((num[i] == num[j]) && (den[i] == den[j])) + printf("%ld and %ld are FRIENDLY\n", the_num[i], the_num[j]); + } + } + + free(the_num); + free(num); + free(den); +} + +int main(int argc, char **argv) { + long int start; + long int end; + + while (1) { + scanf("%ld %ld", &start, &end); + if (start == 0 && end == 0) + break; + printf("Number %ld to %ld\n", start, end); + friendly_numbers(start, end); + } + + return EXIT_SUCCESS; +} diff --git a/c_sequential/haar/Makefile b/c_sequential/haar/Makefile new file mode 100644 index 0000000..2b19c6b --- /dev/null +++ b/c_sequential/haar/Makefile @@ -0,0 +1,27 @@ +CC = gcc +FLAGS = -O3 -Wall -Wno-unused-result + +SRC = haar.c +EXEC = bin/haar +GEN = bin/input_generator + +all: make_dirs $(EXEC) $(GEN) + +clean: + rm -f -r bin + rm -f -r input + +make_dirs: + mkdir -p bin + mkdir -p input + +$(EXEC): $(SRC) + $(CC) $(FLAGS) $^ -o $@ + +$(GEN): input_generator.c + $(CC) $(FLAGS) $^ -o $@ + +run: + ./$(GEN) input/medium.in + ./$(EXEC) input/medium.in input/medium.out + diff --git a/c_sequential/haar/haar.c b/c_sequential/haar/haar.c new file mode 100644 index 0000000..1fa9989 --- /dev/null +++ b/c_sequential/haar/haar.c @@ -0,0 +1,127 @@ +#include +#include +#include + +#include +#include + +#define pixel(x,y) pixels[((y)*size)+(x)] + +//#define DEBUG + +void print(int *pixels, int size) { + int x, y; + for (y = 0; y < size; y++) { + for (x = 0; x < size; x++) { + printf("%10d ", pixel(x,y)); + } + printf("\n"); + fflush(stdout); + } +} + +int main(int argc, char *argv[]) { + if (argc != 3) { + printf("usage: %s [input_file] [output_file]\n", argv[0]); + return 0; + } + + FILE *in; + FILE *out; + + clock_t start; + clock_t end; + + in = fopen(argv[1], "rb"); + if (in == NULL) { + perror(argv[1]); + exit(EXIT_FAILURE); + } + + out = fopen(argv[2], "wb"); + if (out == NULL) { + perror(argv[2]); + exit(EXIT_FAILURE); + } + + long long int s, size, mid; + int x, y; + long long int a, d; + double SQRT_2; + + fread(&size, sizeof(size), 1, in); + + fwrite(&size, sizeof(size), 1, out); + + int *pixels = (int *) malloc(size * size * sizeof(int)); + + start = clock(); + if (!fread(pixels, size * size * sizeof(int), 1, in)) { + perror("read error"); + exit(EXIT_FAILURE); + } + end = clock(); + printf("time to read: %ju (%f s)\n", (uintmax_t)(end - start), (float)(end - start) / CLOCKS_PER_SEC); + +#ifdef DEBUG + printf("origin: %lld\n", size); + print(pixels, size); +#endif + + // haar + start = clock(); + + SQRT_2 = sqrt(2); + for (s = size; s > 1; s /= 2) { + mid = s / 2; + // row-transformation + for (y = 0; y < mid; y++) { + for (x = 0; x < mid; x++) { + a = pixel(x,y); + a = (a+pixel(mid+x,y))/SQRT_2; + d = pixel(x,y); + d = (d-pixel(mid+x,y))/SQRT_2; + pixel(x,y) = a; + pixel(mid+x,y) = d; + } + } + +#ifdef DEBUG + printf("after row-transformation: %lld\n", mid); + print(pixels, size); +#endif + // column-transformation + for (y = 0; y < mid; y++) { + for (x = 0; x < mid; x++) { + a = pixel(x,y); + a = (a+pixel(x,mid+y))/SQRT_2; + d = pixel(x,y); + d = (d-pixel(x,mid+y))/SQRT_2; + pixel(x,y) = a; + pixel(x,mid+y) = d; + } + } + +#ifdef DEBUG + printf("after column-transformation: %lld\n", mid); + print(pixels, size); +#endif + } + + end = clock(); + printf("time to haar: %ju (%f s)\n", (uintmax_t)(end - start), (float)(end - start) / CLOCKS_PER_SEC); + + start = clock(); + + fwrite(pixels, size * size * sizeof(int), 1, out); + + end = clock(); + printf("time to write: %ju (%f s)\n", (uintmax_t)(end - start), (float)(end - start) / CLOCKS_PER_SEC); + + free(pixels); + + fclose(out); + fclose(in); + + return EXIT_SUCCESS; +} diff --git a/c_sequential/haar/input_generator.c b/c_sequential/haar/input_generator.c new file mode 100644 index 0000000..29bc1c8 --- /dev/null +++ b/c_sequential/haar/input_generator.c @@ -0,0 +1,54 @@ +#include +#include +#include +#include + +// change size to make image bigger/smaller +#define IMGSIZE 0x3000 // 0x6000 + +#define image(x,y) pixels[((unsigned int)y*size+x)] + +// generates an image +int main(int argc, char *argv[]) { + if (argc != 2) { + printf("usage: %s [create_file]", argv[0]); + return 0; + } + + unsigned long long int size; + unsigned long long int x, y; + + FILE *out; + srand(time(NULL)); + + out = fopen(argv[1], "wb"); + if (out == NULL ) { + perror(argv[1]); + exit(EXIT_FAILURE); + } + + size = IMGSIZE; + printf("%lld\n", size); + + fwrite(&size, sizeof(size), 1, out); + fflush(out); + + int *pixels = (int*) malloc(size * size * sizeof(int)); + if (pixels == NULL ) { + perror("malloc pixels"); + exit(EXIT_FAILURE); + } + + for (y = 0; y < size; y++) { + for (x = 0; x < size; x++) { + image(x,y)= (rand()&0xFFFF); + } + } + fwrite(pixels, size * size * sizeof(int), 1, out); + + fflush(out); + fclose(out); + free(pixels); + + return EXIT_SUCCESS; +} diff --git a/c_sequential/knapsack/Makefile b/c_sequential/knapsack/Makefile new file mode 100644 index 0000000..bf7111e --- /dev/null +++ b/c_sequential/knapsack/Makefile @@ -0,0 +1,20 @@ +CC = gcc +FLAGS = -O3 -Wall -Wno-unused-result + +SRC = knapsack.c +EXEC = bin/knapsack + +all: make_dirs $(EXEC) + +clean: + rm -f -r bin + +make_dirs: + mkdir -p bin + +$(EXEC): $(SRC) + $(CC) $(FLAGS) $^ -o $@ + +run: + ./$(EXEC) < input/small.in + diff --git a/c_sequential/knapsack/knapsack.c b/c_sequential/knapsack/knapsack.c new file mode 100644 index 0000000..306e926 --- /dev/null +++ b/c_sequential/knapsack/knapsack.c @@ -0,0 +1,67 @@ +/* @author St\'efano Drimon Kurz M\'or */ + +#include +#include +#include + +typedef struct _item_t { + int value; // v_i + int weight; // w_i + float density; // v_i/w_i +} item_t; + +int greater_f(const int x, const int y); +int compare_f(const void *x, const void *y); + +int knapsack_f(const int n, const int M, const item_t * const itens) { + + int v = 0, w = 0; + int r = 0; + + if (n < 1) + return 0; + + while (M - w >= 0) { + r = greater_f(r, v + knapsack_f(n - 1, M - w, &(itens[1]))); + v += itens[0].value; + w += itens[0].weight; + } + + return r; + +} + +int main(int argc, const char *argv[]) { + + int n; + int M; + item_t *itens; + + int i; + + scanf("%d %d", &n, &M); + itens = (item_t*) calloc(n, sizeof(item_t)); + + for (i = 0; i < n; ++i) { + scanf("%d %d", &(itens[i].value), &(itens[i].weight)); + itens[i].density = (float) (itens[i].value) / itens[i].weight; + } + + qsort(itens, (size_t) n, sizeof(item_t), compare_f); + + printf("%d\n", knapsack_f(n, M, itens)); + + free(itens); + + return 0; + +} + +int greater_f(const int x, const int y) { + return (x > y) ? x : y; +} + +int compare_f(const void *x, const void *y) { + return ((item_t*) x)->density - ((item_t*) y)->density; +} + diff --git a/problemset.pdf b/problemset.pdf new file mode 100644 index 0000000000000000000000000000000000000000..e78cc5866afe63db3f77afabfb4efe710296fec1 GIT binary patch literal 465381 zcmd3O1ymi&wk-rFxVr^+XG3szm*Bc_clQ9n-5r9vORxkdxH|+79^AqwXKD8yQ^!?y;hUS3yab*(X+wBlGQ(L@UTooj6^mD=J2rG+ziTYwm=3U zeMfyu8xsb3eG{Mq5%be!MFweoYZFRaM>;`8Dk26YM|&qjM`e2;P|?Q5kqGdk21N!L zeR~TDYh#wFd%nib`Ml%!d5z=eHIAQE zb3E6gP4s6Ae`NTZg-=6a4}7xl=U6BL9c-NJ4S^0%Jr%XFcKoqpB6@C)L6n*3*+K?U z7NX~t8AMr$n4TNwk1~JG0jm-1~ zZCo{<>|rEg<7A^}VI~5wGSf4%Y7;#Tn6=}RK@LQ$KYGU?W^dzU`wPD369y#)WqW;V z2iqTp8@e$FDKQ8Goy`n^ieiFKwJYlzI6P(f3FObtIS?`ac^rOJ{A(OU%`6>(_6(wy z`i?+hprMTskU<(~ZQ^K3#LU47_)*Hi(H^L81rO_*o`GXgnbv>dk$(@xYe1FBh^S+Z zM%6rDu3=TD;Gm`we+f3*+wN#(3%}|7=rzj80tR_EHVg&uN$Se%`{yXxwbL+tA7o2^{={uwN$N*p4pb+*zKsf&9Kyxt;xyt>};j?3(tK0YS;K`Vd?7j;AMxCW&kD)gxZOmQsoRa 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