9.20. Range Functions and Operators
 See Section 8.17 for an overview of range types. 
Table 9.53 shows the specialized operators available for range types. In addition to those, the usual comparison operators shown in Table 9.1 are available for range types. The comparison operators order first by the range lower bounds, and only if those are equal do they compare the upper bounds. This does not usually result in a useful overall ordering, but the operators are provided to allow unique indexes to be constructed on ranges. 
Table 9.53. Range Operators
|  Operator   Description   Example(s)  | 
|---|
| anyrange@>anyrange→boolean
  Does the first range contain the second?  int4range(2,4) @> int4range(2,3)→t
 | 
| anyrange@>anyelement→boolean
  Does the range contain the element?  '[2011-01-01,2011-03-01)'::tsrange @> '2011-01-10'::timestamp→t
 | 
| anyrange<@anyrange→boolean
  Is the first range contained by the second?  int4range(2,4) <@ int4range(1,7)→t
 | 
| anyelement<@anyrange→boolean
  Is the element contained in the range?  42 <@ int4range(1,7)→f
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| anyrange&&anyrange→boolean
  Do the ranges overlap, that is, have any elements in common?  int8range(3,7) && int8range(4,12)→t
 | 
| anyrange<<anyrange→boolean
  Is the first range strictly left of the second?  int8range(1,10) << int8range(100,110)→t
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| anyrange>>anyrange→boolean
  Is the first range strictly right of the second?  int8range(50,60) >> int8range(20,30)→t
 | 
| anyrange&<anyrange→boolean
  Does the first range not extend to the right of the second?  int8range(1,20) &< int8range(18,20)→t
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| anyrange&>anyrange→boolean
  Does the first range not extend to the left of the second?  int8range(7,20) &> int8range(5,10)→t
 | 
| anyrange-|-anyrange→boolean
  Are the ranges adjacent?  numrange(1.1,2.2) -|- numrange(2.2,3.3)→t
 | 
| anyrange+anyrange→anyrange
  Computes the union of the ranges. The ranges must overlap or be adjacent, so that the union is a single range (but see range_merge()). numrange(5,15) + numrange(10,20)→[5,20)
 | 
| anyrange*anyrange→anyrange
  Computes the intersection of the ranges.  int8range(5,15) * int8range(10,20)→[10,15)
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| anyrange-anyrange→anyrange
  Computes the difference of the ranges. The second range must not be contained in the first in such a way that the difference would not be a single range.  int8range(5,15) - int8range(10,20)→[5,10)
 | 
 The left-of/right-of/adjacent operators always return false when an empty range is involved; that is, an empty range is not considered to be either before or after any other range. 
Table 9.54 shows the functions available for use with range types. 
Table 9.54. Range Functions
|  Function   Description   Example(s)  | 
|---|
|  lower(anyrange) →anyelement  Extracts the lower bound of the range (NULLif the range is empty or the lower bound is infinite). lower(numrange(1.1,2.2))→1.1
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|  upper(anyrange) →anyelement  Extracts the upper bound of the range (NULLif the range is empty or the upper bound is infinite). upper(numrange(1.1,2.2))→2.2
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|  isempty(anyrange) →boolean  Is the range empty?  isempty(numrange(1.1,2.2))→f
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|  lower_inc(anyrange) →boolean  Is the range's lower bound inclusive?  lower_inc(numrange(1.1,2.2))→t
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|  upper_inc(anyrange) →boolean  Is the range's upper bound inclusive?  upper_inc(numrange(1.1,2.2))→f
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|  lower_inf(anyrange) →boolean  Is the range's lower bound infinite?  lower_inf('(,)'::daterange)→t
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|  upper_inf(anyrange) →boolean  Is the range's upper bound infinite?  upper_inf('(,)'::daterange)→t
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|  range_merge(anyrange,anyrange) →anyrange  Computes the smallest range that includes both of the given ranges.  range_merge('[1,2)'::int4range, '[3,4)'::int4range)→[1,4)
 | 
 The lower_inc, upper_inc, lower_inf, and upper_inf functions all return false for an empty range.