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
from proveit.numbers import Mult, frac, one
from proveit.physics.quantum.QPE import _b_round, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Mult(frac(Mult(one, _two_pow_t), one), frac(_b_round, Mult(_two_pow_t, one))), Mult(frac(one, one), frac(_b_round, 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(\frac{1 \cdot 2^{t}}{1} \cdot \frac{b_{\textit{r}}}{2^{t} \cdot 1}, \frac{1}{1} \cdot \frac{b_{\textit{r}}}{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
0ExprTuple1, 2
1Operationoperator: 18
operands: 3
2Operationoperator: 18
operands: 4
3ExprTuple5, 6
4ExprTuple7, 8
5Operationoperator: 12
operands: 9
6Operationoperator: 12
operands: 10
7Operationoperator: 12
operands: 11
8Operationoperator: 12
operands: 13
9ExprTuple14, 21
10ExprTuple16, 15
11ExprTuple21, 21
12Literal
13ExprTuple16, 21
14Operationoperator: 18
operands: 17
15Operationoperator: 18
operands: 19
16Literal
17ExprTuple21, 20
18Literal
19ExprTuple20, 21
20Operationoperator: 22
operands: 23
21Literal
22Literal
23ExprTuple24, 25
24Literal
25Literal