1: #include <petscsys.h> 3: /*@C 4: PetscIsCloseAtTol - Returns whether the two floating point numbers 5: are close at given relative and absolute tolerances. 7: Input Parameter: 8: + a - first floating point number 9: . b - second floating point number 10: . rtol - relative tolerance 11: + atol - absolute tolerances 13: Notes: https://www.python.org/dev/peps/pep-0485 15: Level: beginner 16: @*/ 17: PetscBool PetscIsCloseAtTol(PetscReal a,PetscReal b,PetscReal rtol,PetscReal atol) 18: { 19: PetscReal diff; 20: /* NaN is not considered close to any other value, including NaN */ 21: if (PetscIsNanReal(a) || PetscIsNanReal(b)) return PETSC_FALSE; 22: /* Fast path for exact equality or two infinities of same sign */ 23: if (a == b) return PETSC_TRUE; 24: /* Handle two infinities of opposite sign */ 25: if (PetscIsInfReal(a) || PetscIsInfReal(b)) return PETSC_FALSE; 26: /* Cannot error if tolerances are negative */ 27: rtol = PetscAbsReal(rtol); atol = PetscAbsReal(atol); 28: /* The regular check for difference within tolerances */ 29: diff = PetscAbsReal(b - a); 30: return ((diff <= PetscAbsReal(rtol * b)) || (diff <= PetscAbsReal(rtol * a)) || (diff <= atol)) ? PETSC_TRUE : PETSC_FALSE; 31: }