logo

Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import ExprTuple, l
from proveit.numbers import Add, Exp, Mult, Neg, one, pi, two
from proveit.physics.quantum.QPE import _delta_b_floor, _t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(pi, Add(Neg(Mult(l, Exp(two, Neg(_t)))), _delta_b_floor), Exp(pi, Neg(one)))
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left(\pi, -\left(l \cdot 2^{-t}\right) + \delta_{b_{\textit{f}}}, \pi^{-1}\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple8, 1, 2
1Operationoperator: 3
operands: 4
2Operationoperator: 21
operands: 5
3Literal
4ExprTuple6, 7
5ExprTuple8, 9
6Operationoperator: 25
operand: 14
7Operationoperator: 11
operand: 15
8Literal
9Operationoperator: 25
operand: 16
10ExprTuple14
11Literal
12ExprTuple15
13ExprTuple16
14Operationoperator: 17
operands: 18
15Literal
16Literal
17Literal
18ExprTuple19, 20
19Variable
20Operationoperator: 21
operands: 22
21Literal
22ExprTuple23, 24
23Literal
24Operationoperator: 25
operand: 27
25Literal
26ExprTuple27
27Literal