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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, Mult, Neg, e, frac, i, pi, two
from proveit.physics.quantum.QPE import _b_floor, _delta_b_floor, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(e, Mult(two, pi, i, Add(frac(_b_floor, _two_pow_t), _delta_b_floor, Neg(frac(Add(_b_floor, l), _two_pow_t)))))
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(\mathsf{e}, 2 \cdot \pi \cdot \mathsf{i} \cdot \left(\frac{b_{\textit{f}}}{2^{t}} + \delta_{b_{\textit{f}}} - \frac{b_{\textit{f}} + l}{2^{t}}\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
1Literal
2Operationoperator: 3
operands: 4
3Literal
4ExprTuple28, 5, 6, 7
5Literal
6Literal
7Operationoperator: 22
operands: 8
8ExprTuple9, 10, 11
9Operationoperator: 18
operands: 12
10Operationoperator: 13
operand: 26
11Operationoperator: 15
operand: 17
12ExprTuple26, 21
13Literal
14ExprTuple26
15Literal
16ExprTuple17
17Operationoperator: 18
operands: 19
18Literal
19ExprTuple20, 21
20Operationoperator: 22
operands: 23
21Operationoperator: 24
operands: 25
22Literal
23ExprTuple26, 27
24Literal
25ExprTuple28, 29
26Literal
27Variable
28Literal
29Literal