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4.3.2.7. Range functions

The following functions support temporal ordering operations to establish relationships between single scalar values and ranges of such values. These functions are similar to the components in the Health Level Seven (HL7) International Clinical Quality Language (CQL) 1.4 syntax.

before( )

Returns true when an element A is before an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. before( point1 point2 )
  2. before( point range )
  3. before( range point )
  4. before( range1,range2 )

Requirements for evaluating to true

  1. point1 < point2
  2. point < range.start or ( point = range.start and not(range.start included) )
  3. range.end < point or ( range.end = point and not(range.end included) )
  4. range1.end < range2.start or (( not(range1.end included) or not(range2.start included) ) and range1.end = range2.start )

Examples

before( 1, 10 ) = true
before( 10, 1 ) = false
before( 1, [1..10] ) = false
before( 1, (1..10] ) = true
before( 1, [5..10] ) = true
before( [1..10], 10 ) = false
before( [1..10), 10 ) = true
before( [1..10], 15 ) = true
before( [1..10], [15..20] ) = true
before( [1..10], [10..20] ) = false
before( [1..10), [10..20] ) = true
before( [1..10], (10..20] ) = true

after( )

Returns true when an element A is after an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. after( point1 point2 )
  2. after( point range )
  3. after( range, point )
  4. after( range1 range2 )

Requirements for evaluating to true

  1. point1 > point2
  2. point > range.end or ( point = range.end and not(range.end included) )
  3. range.start > point or ( range.start = point and not(range.start included) )
  4. range1.start > range2.end or (( not(range1.start included) or not(range2.end included) ) and range1.start = range2.end )

Examples

after( 10, 5 ) = true
after( 5, 10 ) = false
after( 12, [1..10] ) = true
after( 10, [1..10) ) = true
after( 10, [1..10] ) = false
after( [11..20], 12 ) = false
after( [11..20], 10 ) = true
after( (11..20], 11 ) = true
after( [11..20], 11 ) = false
after( [11..20], [1..10] ) = true
after( [1..10], [11..20] ) = false
after( [11..20], [1..11) ) = true
after( (11..20], [1..11] ) = true

meets( )

Returns true when an element A meets an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. meets( range1, range2 )

Requirements for evaluating to true

  1. range1.end included and range2.start included and range1.end = range2.start

Examples

meets( [1..5], [5..10] ) = true
meets( [1..5), [5..10] ) = false
meets( [1..5], (5..10] ) = false
meets( [1..5], [6..10] ) = false

met by( )

Returns true when an element A is met by an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. met by( range1, range2 )

Requirements for evaluating to true

  1. range1.start included and range2.end included and range1.start = range2.end

Examples

met by( [5..10], [1..5] ) = true
met by( [5..10], [1..5) ) = false
met by( (5..10], [1..5] ) = false
met by( [6..10], [1..5] ) = false

overlaps( )

Returns true when an element A overlaps an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. overlaps( range1, range2 )

Requirements for evaluating to true

  1. ( range1.end > range2.start or (range1.end = range2.start and (range1.end included or range2.end included)) ) and ( range1.start < range2.end or (range1.start = range2.end and range1.start included and range2.end included) )

Examples

overlaps( [1..5], [3..8] ) = true
overlaps( [3..8], [1..5] ) = true
overlaps( [1..8], [3..5] ) = true
overlaps( [3..5], [1..8] ) = true
overlaps( [1..5], [6..8] ) = false
overlaps( [6..8], [1..5] ) = false
overlaps( [1..5], [5..8] ) = true
overlaps( [1..5], (5..8] ) = false
overlaps( [1..5), [5..8] ) = false
overlaps( [1..5), (5..8] ) = false
overlaps( [5..8], [1..5] ) = true
overlaps( (5..8], [1..5] ) = false
overlaps( [5..8], [1..5) ) = false
overlaps( (5..8], [1..5) ) = false

overlaps before( )

Returns true when an element A overlaps before an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. overlaps before( range1 range2 )

Requirements for evaluating to true

  1. ( range1.start < range2.start or (range1.start = range2.start and range1.start included and range2.start included) ) and ( range1.end > range2.start or (range1.end = range2.start and range1.end included and range2.start included) ) and ( range1.end < range2.end or (range1.end = range2.end and (not(range1.end included) or range2.end included )) )

Examples

overlaps before( [1..5], [3..8] ) = true
overlaps before( [1..5], [6..8] ) = false
overlaps before( [1..5], [5..8] ) = true
overlaps before( [1..5], (5..8] ) = false
overlaps before( [1..5), [5..8] ) = false
overlaps before( [1..5), (1..5] ) = true
overlaps before( [1..5], (1..5] ) = true
overlaps before( [1..5), [1..5] ) = false
overlaps before( [1..5], [1..5] ) = false

overlaps after( )

Returns true when an element A overlaps after an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. overlaps after( range1 range2 )

Requirements for evaluating to true

  1. ( range2.start < range1.start or (range2.start = range1.start and range2.start included and not( range1.start included)) ) and ( range2.end > range1.start or (range2.end = range1.start and range2.end included and range1.start included) ) and ( range2.end < range1.end or (range2.end = range1.end and (not(range2.end included) or range1.end included)) )

Examples

overlaps after( [3..8], [1..5] )= true
overlaps after( [6..8], [1..5] )= false
overlaps after( [5..8], [1..5] )= true
overlaps after( (5..8], [1..5] )= false
overlaps after( [5..8], [1..5) )= false
overlaps after( (1..5], [1..5) )= true
overlaps after( (1..5], [1..5] )= true
overlaps after( [1..5], [1..5) )= false
overlaps after( [1..5], [1..5] )= false
overlaps after( (1..5), [1..5] )= false
overlaps after( (1..5], [1..6] )= false
overlaps after( (1..5], (1..5] )= false
overlaps after( (1..5], [2..5] )= false

finishes( )

Returns true when an element A finishes an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. finishes( point, range )
  2. finishes( range1, range2 )

Requirements for evaluating to true

  1. range.end included and range.end = point
  2. range1.end included = range2.end included and range1.end = range2.end and ( range1.start > range2.start or (range1.start = range2.start and (not(range1.start included) or range2.start included)) )

Examples

finishes( 10, [1..10] ) = true
finishes( 10, [1..10) ) = false
finishes( [5..10], [1..10] ) = true
finishes( [5..10), [1..10] ) = false
finishes( [5..10), [1..10) ) = true
finishes( [1..10], [1..10] ) = true
finishes( (1..10], [1..10] ) = true

finished by( )

Returns true when an element A is finished by an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. finished by( range, point )
  2. finished by( range1 range2 )

Requirements for evaluating to true

  1. range.end included and range.end = point
  2. range1.end included = range2.end included and range1.end = range2.end and ( range1.start < range2.start or (range1.start = range2.start and (range1.start included or not(range2.start included))) )

Examples

finished by( [1..10], 10 ) = true
finished by( [1..10), 10 ) = false
finished by( [1..10], [5..10] ) = true
finished by( [1..10], [5..10) ) = false
finished by( [1..10), [5..10) ) = true
finished by( [1..10], [1..10] ) = true
finished by( [1..10], (1..10] ) = true

includes( )

Returns true when an element A includes an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. includes( range, point )
  2. includes( range1, range2 )

Requirements for evaluating to true

  1. (range.start < point and range.end > point) or (range.start = point and range.start included) or (range.end = point and range.end included)
  2. ( range1.start < range2.start or (range1.start = range2.start and (range1.start included or not(range2.start included))) ) and ( range1.end > range2.end or (range1.end = range2.end and (range1.end included or not(range2.end included))) )

Examples

includes( [1..10], 5 ) = true
includes( [1..10], 12 ) = false
includes( [1..10], 1 ) = true
includes( [1..10], 10 ) = true
includes( (1..10], 1 ) = false
includes( [1..10), 10 ) = false
includes( [1..10], [4..6] ) = true
includes( [1..10], [1..5] ) = true
includes( (1..10], (1..5] ) = true
includes( [1..10], (1..10) ) = true
includes( [1..10), [5..10) ) = true
includes( [1..10], [1..10) ) = true
includes( [1..10], (1..10] ) = true
includes( [1..10], [1..10] ) = true

during( )

Returns true when an element A is during an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. during( point, range )
  2. during( range1 range2 )

Requirements for evaluating to true

  1. (range.start < point and range.end > point) or (range.start = point and range.start included) or (range.end = point and range.end included)
  2. ( range2.start < range1.start or (range2.start = range1.start and (range2.start included or not(range1.start included))) ) and ( range2.end > range1.end or (range2.end = range1.end and (range2.end included or not(range1.end included))) )

Examples

during( 5, [1..10] ) = true
during( 12, [1..10] ) = false
during( 1, [1..10] ) = true
during( 10, [1..10] ) = true
during( 1, (1..10] ) = false
during( 10, [1..10) ) = false
during( [4..6], [1..10] ) = true
during( [1..5], [1..10] ) = true
during( (1..5], (1..10] ) = true
during( (1..10), [1..10] ) = true
during( [5..10), [1..10) ) = true
during( [1..10), [1..10] ) = true
during( (1..10], [1..10] ) = true
during( [1..10], [1..10] ) = true

starts( )

Returns true when an element A starts an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. starts( point, range )
  2. starts( range1, range2 )

Requirements for evaluating to true

  1. range.start = point and range.start included
  2. range1.start = range2.start and range1.start included = range2.start included and ( range1.end < range2.end or (range1.end = range2.end and (not(range1.end included) or range2.end included)) )

Examples

starts( 1, [1..10] ) = true
starts( 1, (1..10] ) = false
starts( 2, [1..10] ) = false
starts( [1..5], [1..10] ) = true
starts( (1..5], (1..10] ) = true
starts( (1..5], [1..10] ) = false
starts( [1..5], (1..10] ) = false
starts( [1..10], [1..10] ) = true
starts( [1..10), [1..10] ) = true
starts( (1..10), (1..10) ) = true

started by( )

Returns true when an element A is started by an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. started by( range, point )
  2. started by( range1, range2 )

Requirements for evaluating to true

  1. range.start = point and range.start included
  2. range1.start = range2.start and range1.start included = range2.start included and ( range2.end < range1.end or (range2.end = range1.end and (not(range2.end included) or range1.end included)) )

Examples

started by( [1..10], 1 ) = true
started by( (1..10], 1 ) = false
started by( [1..10], 2 ) = false
started by( [1..10], [1..5] ) = true
started by( (1..10], (1..5] ) = true
started by( [1..10], (1..5] ) = false
started by( (1..10], [1..5] ) = false
started by( [1..10], [1..10] ) = true
started by( [1..10], [1..10) ) = true
started by( (1..10), (1..10) ) = true

coincides( )

Returns true when an element A coincides with an element B and when the relevant requirements for evaluating to true are also met.

Signatures

  1. coincides( point1, point2 )
  2. coincides( range1, range2 )

Requirements for evaluating to true

  1. point1 = point2
  2. range1.start = range2.start and range1.start included = range2.start included and range1.end = range2.end and range1.end included = range2.end included

Examples

coincides( 5, 5 ) = true
coincides( 3, 4 ) = false
coincides( [1..5], [1..5] ) = true
coincides( (1..5), [1..5] ) = false
coincides( [1..5], [2..6] ) = false

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