#!/usr/bin/env python
# encoding: utf-8


from random_expression import RdExpression
from random import choice


fact1 = RdExpression("{c}({a}x + {b}) +  {f}({a}x + {b})",\
        conditions = ["{b} > 0"], \
        with_Exp = False)

fact2 = RdExpression("({a}x + {b})({c}x - {d}) + ({a}x + {b})({e}x + {f})",\
        conditions = ["{b} > 0", "{d} > 0", "{f} > 0", "{e} != {c}"] , \
        with_Exp = False)

fact3 = RdExpression("({a}x + {b})({c}x - {d}) + ({c}x - {d})({e}x - {f})",\
        conditions = ["{b} > 0", "{d} > 0", "{f} > 0", "{d} != {f}"], \
        with_Exp = False)

fact4 = RdExpression("({a}x + {b})({c}x - {d}) - ({a}x + {b})({e}x + {f})",\
        conditions = ["{b} > 0", "{d} > 0", "{f} > 0", "{e} != {c}"], \
        with_Exp = False)

fact5 = RdExpression("({a}x + {b})({c}x - {d}) - ({c}x - {d})({e}x - {f})",\
        conditions = ["{b} > 0", "{d} > 0", "{f} > 0", "{d} != {f}"],\
        with_Exp = False)

id_rmq1 = RdExpression("{a**2}x^2 + {2*a*b}x + {b**2}",\
        conditions = ["{a} > 0", "{b} > 0"], \
        with_Exp = False)

id_rmq2 = RdExpression("{a**2}x^2 - {2*a*b}x + {b**2}",\
        conditions = ["{a} > 0", "{b} > 0"],\
        with_Exp = False)

id_rmq3 = RdExpression("{a**2}x^2 - {b**2}",\
        conditions = ["{a} > 0", "{b} > 0"], \
        with_Exp = False)

rd_fact = lambda : choice([fact2, fact3, fact4, fact5])()
rd_id_rmq= lambda: choice([id_rmq1, id_rmq2, id_rmq3])()

fact = {"fact1" : fact1,\
        "fact2": fact2, \
        "fact3": fact3, \
        "fact4": fact4, \
        "fact5": fact5, \
        "id_rmq1":id_rmq1, \
        "id_rmq2":id_rmq2, \
        "id_rm3": id_rmq3, \
        "rd_fact" : rd_fact, \
        "rd_id_rmq" : rd_id_rmq }

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