Localized projectile-fluid interaction models are widely used for calculating drag and lift coefficients in a highvelocity flow in free-molecular, intermediate, and continuum flow regimes. A fast procedure for evaluating drag and lift coefficients of bodies of revolution in the range of the angles of attack from 0 to 90 deg, which can be employed in these calculations, is suggested. The developed exact method reduces computation of integrals from local force coefficients over the exposed part of the projectile's surface at each value of angle of attack to the evaluation one-dimensional quadratures. Such simplification is achieved by analyzing all possible types of the exposed surface structure and derivation of the analytical formulas via integration over one of the coordinates. The developed procedure comprises a set of formulas and tables, which can be readily implemented in a computer code. Method is applied in an intermediate flow region with a localized interaction model often used in hypersonic aerodynamics and the obtained results are compared with experimental data.