Triangle numbers implementation

This commit is contained in:
2024-09-15 14:51:06 +01:00
parent 97b23e4f71
commit e56169441b
2 changed files with 69 additions and 2 deletions

View File

@@ -1,6 +1,10 @@
CC=clang
CC=g++
CFLAGS=-pedantic -Wall -Wextra -fsanitize=address -fsanitize=undefined -ggdb -fsanitize=address
OUT=
ARGS=
pingala.out: impls/pingala.cpp
$(CC) $(CFLAGS) $^ -o $@
btree.out: impls/btree.cpp
$(CC) $(CFLAGS) $^ -o $@
@@ -16,7 +20,7 @@ vec.out: impls/vec.c
.PHONY: run
run: $(OUT)
./$^
./$^ $(ARGS)
.PHONY: clean
clean:

63
impls/pingala.cpp Normal file
View File

@@ -0,0 +1,63 @@
/* pingala.cpp
* Created: 2024-09-15
* Author: Aryadev Chavali
*/
#include <cstdio>
#include <string>
#include <vector>
void padding(size_t n, size_t depth)
{
for (size_t i = 0; i < ((depth - n) / 2); ++i)
printf("\t");
}
void generate_triangle(const size_t depth)
{
std::vector<size_t> items;
items.reserve(depth * depth);
#define AT(i, j) items[((i) * depth) + (j)]
AT(0, 0) = 1;
padding(0, depth);
printf("%lu\n", items[0]);
for (size_t i = 1; i < depth; ++i)
{
AT(i, 0) = 1;
padding(i, depth);
printf("%lu,\t", AT(i, 0));
for (size_t j = 1; j < i; ++j)
{
// Recurrence relation
AT(i, j) = AT(i - 1, j - 1) + AT(i - 1, j);
printf("%lu,\t", AT(i, j));
}
AT(i, i) = 1;
printf("%lu\n", AT(i, i));
}
#undef AT
}
void usage(FILE *fp)
{
fprintf(fp, "Usage: pingala.out [depth]\n"
"\tdepth: Depth of triangle generated\n");
}
int main(int argc, char *argv[])
{
if (argc < 2)
{
usage(stderr);
return 1;
}
int arg = std::stoi(argv[1]);
if (arg <= 0)
{
usage(stderr);
return 1;
}
generate_triangle(arg);
return 0;
}