# the Free Software Foundation, either version 3 of the License, or # at your option) any later version. # # pyderiv is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with pyderiv. If not, see <http://www.gnu.org/licenses/>. # Example usage: import deriv x = deriv.varying(5) y = deriv.varying(-7) r = (x * x + y * y) ** .5 print "r", deriv.v(r) print "dr/dx", deriv.v(deriv.d(r, x)) print "dr/dy", deriv.v(deriv.d(r, y)) print "d2r/dx2", deriv.v(deriv.d(r, x, x)) print "d2r/dy2", deriv.v(deriv.d(r, y, y)) print "d2r/dx/dy", deriv.v(deriv.d(r, x, y)) print "d2r/dy/dx", deriv.v(deriv.d(r, y, x)) print r = deriv.sin(x)
def noise2(variance): assert variance >= 0 return math.sqrt(variance) * deriv.varying(0, noise=True)