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, m
from proveit.numbers import Exp, ModAbs, one, subtract, two
from proveit.physics.quantum.QPE import _b_floor, _n, _t, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(ModAbs(subtract(m, _b_floor), _two_pow_t), subtract(Exp(two, subtract(_t, _n)), 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(\left|m - b_{\textit{f}}\right|_{\textup{mod}\thinspace 2^{t}}, 2^{t - n} - 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: 3
operands: 4
2Operationoperator: 21
operands: 5
3Literal
4ExprTuple6, 7
5ExprTuple8, 9
6Operationoperator: 21
operands: 10
7Operationoperator: 12
operands: 11
8Operationoperator: 12
operands: 13
9Operationoperator: 26
operand: 19
10ExprTuple15, 16
11ExprTuple17, 24
12Literal
13ExprTuple17, 18
14ExprTuple19
15Variable
16Operationoperator: 26
operand: 23
17Literal
18Operationoperator: 21
operands: 22
19Literal
20ExprTuple23
21Literal
22ExprTuple24, 25
23Literal
24Literal
25Operationoperator: 26
operand: 28
26Literal
27ExprTuple28
28Literal