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* replace exit with assert in test_single_page * improve save_raw_single_page docs option * More grammar fixes * "Built from" link in new tab * fix mistype * Example of include in docs * add anchor to meeting form * Draft of translation helper * WIP on translation helper * Replace some fa docs content with machine translation * add normalize-en-markdown.sh * normalize some en markdown * normalize some en markdown * admonition support * normalize * normalize * normalize * support wide tables * normalize * normalize * normalize * normalize * normalize * normalize * normalize * normalize * normalize * normalize * normalize * normalize * normalize * lightly edited machine translation of introdpection.md * lightly edited machhine translation of lazy.md * WIP on translation utils * Normalize ru docs * Normalize other languages * some fixes * WIP on normalize/translate tools * add requirements.txt * [experimental] add es docs language as machine translated draft * remove duplicate script * Back to wider tab-stop (narrow renders not so well)
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Bit functions
Bit functions work for any pair of types from UInt8, UInt16, UInt32, UInt64, Int8, Int16, Int32, Int64, Float32, or Float64.
The result type is an integer with bits equal to the maximum bits of its arguments. If at least one of the arguments is signed, the result is a signed number. If an argument is a floating-point number, it is cast to Int64.
bitAnd(a, b)
bitOr(a, b)
bitXor(a, b)
bitNot(a)
bitShiftLeft(a, b)
bitShiftRight(a, b)
bitRotateLeft(a, b)
bitRotateRight(a, b)
bitTest
Takes any integer and converts it into binary form, returns the value of a bit at specified position. The countdown starts from 0 from the right to the left.
Syntax
SELECT bitTest(number, index)
Parameters
number– integer number.index– position of bit.
Returned values
Returns a value of bit at specified position.
Type: UInt8.
Example
For example, the number 43 in base-2 (binary) numeral system is 101011.
Query:
SELECT bitTest(43, 1)
Result:
┌─bitTest(43, 1)─┐
│ 1 │
└────────────────┘
Another example:
Query:
SELECT bitTest(43, 2)
Result:
┌─bitTest(43, 2)─┐
│ 0 │
└────────────────┘
bitTestAll
Returns result of logical conjuction (AND operator) of all bits at given positions. The countdown starts from 0 from the right to the left.
The conjuction for bitwise operations:
0 AND 0 = 0
0 AND 1 = 0
1 AND 0 = 0
1 AND 1 = 1
Syntax
SELECT bitTestAll(number, index1, index2, index3, index4, ...)
Parameters
number– integer number.index1,index2,index3,index4– positions of bit. For example, for set of positions (index1,index2,index3,index4) is true if and only if all of its positions are true (index1⋀index2, ⋀index3⋀index4).
Returned values
Returns result of logical conjuction.
Type: UInt8.
Example
For example, the number 43 in base-2 (binary) numeral system is 101011.
Query:
SELECT bitTestAll(43, 0, 1, 3, 5)
Result:
┌─bitTestAll(43, 0, 1, 3, 5)─┐
│ 1 │
└────────────────────────────┘
Another example:
Query:
SELECT bitTestAll(43, 0, 1, 3, 5, 2)
Result:
┌─bitTestAll(43, 0, 1, 3, 5, 2)─┐
│ 0 │
└───────────────────────────────┘
bitTestAny
Returns result of logical disjunction (OR operator) of all bits at given positions. The countdown starts from 0 from the right to the left.
The disjunction for bitwise operations:
0 OR 0 = 0
0 OR 1 = 1
1 OR 0 = 1
1 OR 1 = 1
Syntax
SELECT bitTestAny(number, index1, index2, index3, index4, ...)
Parameters
number– integer number.index1,index2,index3,index4– positions of bit.
Returned values
Returns result of logical disjuction.
Type: UInt8.
Example
For example, the number 43 in base-2 (binary) numeral system is 101011.
Query:
SELECT bitTestAny(43, 0, 2)
Result:
┌─bitTestAny(43, 0, 2)─┐
│ 1 │
└──────────────────────┘
Another example:
Query:
SELECT bitTestAny(43, 4, 2)
Result:
┌─bitTestAny(43, 4, 2)─┐
│ 0 │
└──────────────────────┘