[Solved] Quantum Physics Ex 1

Exercise 1: Setup

• Create a working directory.
• Open emacs and write your first program in FORTRAN(c) Submit a test job.

(d) Connect to the cluster spiro.fisica.unpd.it via ssh and repeat the execution

Exercise 2: Number precision

Integer and real numbers have a finite precision. Explore the limits of INTEGER and REAL in Fortran.

• Sum the numbers 2.000.000 and 1 with INTEGER*2 and INTEGER*4

• Sum the numbers 10³² and 2 10²¹ in single and double precision.

Exercise 3: Test performance

Matrix matrix multiplication is many times the bottleneck of linear algebra computations.

• Write explicitely the matrix-matrix multiplication loop in two different orders.
• Use the Fortran intrinsic function.
• Increase the matrix size and use the Fortran Function CPUTIME to monitor the code performance.

Use the compiler different optimization flags and monitor the performances