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 Abs, Mult, pi, two
from proveit.physics.quantum.QPE import _delta_b_round, _two_pow_t
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Abs(_delta_b_round)
expr = ExprTuple(Mult(Abs(two), Abs(pi), sub_expr1, Abs(_two_pow_t)), Mult(_two_pow_t, two, pi, sub_expr1))
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(\left|2\right| \cdot \left|\pi\right| \cdot \left|\delta_{b_{\textit{r}}}\right| \cdot \left|2^{t}\right|, 2^{t} \cdot 2 \cdot \pi \cdot \left|\delta_{b_{\textit{r}}}\right|\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7, 9, 8
4Literal
5ExprTuple16, 22, 15, 9
6Operationoperator: 13
operand: 22
7Operationoperator: 13
operand: 15
8Operationoperator: 13
operand: 16
9Operationoperator: 13
operand: 17
10ExprTuple22
11ExprTuple15
12ExprTuple16
13Literal
14ExprTuple17
15Literal
16Operationoperator: 18
operands: 19
17Operationoperator: 20
operand: 24
18Literal
19ExprTuple22, 23
20Literal
21ExprTuple24
22Literal
23Literal
24Literal