Question

1. (5 points) These are the predefined MPI reduction operations: • MPI BAND, • MPI BOR, • MPI BXOR • MPI LAND, • MPI LOR, • MPI LXOR, • MPI MAX, • MPI MAXLOC, • MPI MIN, • MPI MINLOC, • MPI PROD, • MPI SUM. (a) (1 point) Which operations can be used with floating point types like MPI FLOAT or MPI DOUBLE? (b) (1 point) Which operations cannot be used with C integer types like MPI INT? (c) (2 points) All of the operations are associative, of course. Associative operations may or may not be • commutative: a b=b a ; • invertible: for every a there is an inverse a-1 such that a-1 ♡ (a o b) = b and (b 8a8a-1 = b. Characterize each of the operations that can be used with MPI_INT by whether it is commutative and whether it is invertible. (d) (1 point) Give an example of an associative, non-commutative operation that can be applied to integers.

Answer 1

with floating points MPL - MAX, MPI. MIN, MP1-SUM, MPI. PROD operations can be done each one of the operations can be used with the e integer function. So every operation work with them like Pinteger and integer function. MPIR MAXLOC and MPI. MINLOC are the operations which is don not coorl with the integer a function MPI-BAND and MPI BOR are the operations which are associative in nature of course but they are not commutative in nature with integer. are commutative MAX, MIN, SUM, PRON, LAND , LOR in nature. only the MAX, MIN, SUM, PROD are inversible en nature.