Shekharrajak

from sympy import *

# https://www.rose-hulman.edu/~finn/CCLI/Notes/day09.pdf

a0, a1, a2, a3, t = symbols('a0 a1 a2 a3 t')

polynomial = a0 + a1*t + a2*t**2 + a3*t**3
polynomial_d = diff(polynomial, t)

p0, v0, p1, v1 = symbols('p0 v0 p1 v1')

Shekharrajak

import random
import multiprocessing
from itertools import starmap, izip, repeat, imap
from operator import mul

def calc_row_of_product_matrix(a_row, b, izip=izip):
    '''Calculate a row of the product matrix P = A * B
    Arguments:
      a_row is af A
      b is the B matrix

Shekharrajak

import csv
import cStringIO
import codecs
import glob
import json
import requests


def fetch_jsons():
    url = ('https://summerofcode.withgoogle.com/api/program/current/project/'

Shekharrajak

def nlinsolve_matrix(system, symbols):
    r"""
    reference : http://people.math.gatech.edu/~aleykin3/math4803spr13/BOOK/chapter1.pdf
    page :9 example = 2.2
    currently for 2 equations

    Examples
    >>> from sympy.solvers.solveset import nlinsolve_matrix
    >>> nlinsolve_matrix([x*y - 1, 4*x**2 + y**2 - 5],[x,y])
    >>> {(-1, -1), (-1/2, -2), (1/2, 2), (1, 1)}

Shekharrajak

In [ ]: solveset(2*sin(x) - 1<0,x, S.Reals)
Out[ ]: 
⎛    π⎞   ⎛5⋅π   ⎞
⎜-∞, ─⎟ ∪ ⎜───, ∞⎟
⎝    6⎠   ⎝ 6    ⎠

Shekharrajak

def reduce_imageset(soln):
    """
    Try to reduce number of imageset in the args.
    It is mostly helper to _solve_trig method defined in
    solvers/solveset.py.

    First extract the expression of imageset and
    sort the negative and positive expression.
    and using interpolate defined in polys/polyfuncs.py
    generates a function in `n`, which can return all the

Shekharrajak

def reduce_imageset(new_imgset, imgset = S.EmptySet):
    """
    Try to reduce number of imageset in the args.
    It is mostly helper to _solve_trig method defined in
    solvers/solveset.py.

    First extract the expression of imageset and put in list in new_list
    (for new_imgset expr) and final_list(for imgset expr). If there is any
    expr in new_list have difference of pi or -pi with any final_list expr.

Shekharrajak

def solveset_univariate_trig_inequality(expr, gen, relational=True):
    """Solves a real univariate inequality.

    Examples
    ========

    >>> from sympy.solvers.inequalities import solveset_univariate_trig_inequality
    >>> from sympy.core.symbol import Symbol
    >>> x = Symbol('x')
    >>> solveset((2*cos(x)+1)/(2*cos(x)-1) > 0, x, S.Reals)

Shekharrajak

##############################################################################
# ------------------------------nonlinsolve ---------------------------------#
##############################################################################


def substitution(system, symbols=None, result=[{}], known_symbols=[], exclude=[],
                 all_symbols=None):
    r""" Solves the `system` using substitution method.
    A helper function for     `nonlinsolve`. This will be called from
    `nonlinsolve` when any equation(s)     is non polynomial equation.

Shekharrajak

##############################################################################
# ------------------------------nonlinsolve ---------------------------------#
##############################################################################


def substitution(system, symbols=None, result=[{}], known_symbols=[],
                 exclude=[], all_symbols=None):
    r""" Solves the `system` using substitution method.