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An algorithm is a methodical approach for solving a problem.
For Example:
1) The algorithm to multiply "A" by "B" is to add "A" to itself "B" times.
2) The algorithm to compute the average of "N" number is to add them up and then divide by "N".
Nested loopjoin for each tuple ‘tr’in‘r’{ for each tuple ‘ts’in‘s’{ if (‘tr’and‘ts’ satisfy the join condition ‘0’){ add tuple( tr*ts)to the result set } }} |
1) A nested loop join with the outer relation r and the inner relation s can be used to compute a theta join
2) The nested loop join algorithm requires no indices and can be used for any join condition
3) A nested loop join is expensive since every pair of tuples in the two relations has to be examined.
Tuple-based nested loopjoinalgorithm: FOR each tuple ‘s’in‘S’ DO For each tuple ‘r’in‘R’ Do IF ‘r’and‘s’jointo make a tuple ‘t’THEN output t; |
Properties of Algorithms
Some of the popular methodologies are:
For each chunk b of R DO FOR each block b of R DO FOR each tuple t of b DO Find the tuples of S in memory that joinwith t Output the joinof t with each of these tuples |
Example: Black Based Nested Loops