Temporal addition

{number,tnumber} + {number,tnumber}: tnumber

SELECT tint '[2@2012-01-01, 2@2012-01-04)' + 1.5;
-- "[3.5@2012-01-01, 3.5@2012-01-04)"
SELECT tint '[2@2012-01-01, 2@2012-01-04)' + tfloat '[1@2012-01-01, 4@2012-01-04)';
-- "[3@2012-01-01, 6@2012-01-04)"
SELECT tfloat '[1@2012-01-01, 4@2012-01-04)' +
  tfloat '{[1@2012-01-01, 2@2012-01-02), [1@2012-01-02, 2@2012-01-04)}';
-- "{[2@2012-01-01, 4@2012-01-04), [3@2012-01-02, 6@2012-01-04)}"

Temporal subtraction

{number,tnumber} - {number,tnumber}: tnumber

SELECT tint '[1@2012-01-01, 1@2012-01-04)' - tint '[2@2012-01-03, 2@2012-01-05)';
-- "[-1@2012-01-03, -1@2012-01-04)"
SELECT tfloat '[3@2012-01-01, 6@2012-01-04)' - tint '[2@2012-01-01, 2@2012-01-04)';
-- "[1@2012-01-01, 4@2012-01-04)"

Temporal multiplication

{number,tnumber} * {number,tnumber}: tnumber

SELECT tfloat '[1@2012-01-01, 4@2012-01-04)' * 2;
-- "[2@2012-01-01, 8@2012-01-04)"
SELECT tfloat '[1@2012-01-01, 4@2012-01-04)' * tint '[2@2012-01-01, 2@2012-01-04)';
-- "[2@2012-01-01, 8@2012-01-04)"
SELECT tfloat '[1@2012-01-01, 3@2012-01-03)' * '[3@2012-01-01, 1@2012-01-03)'
-- "{[3@2012-01-01, 4@2012-01-02, 3@2012-01-03)}"

Temporal division

{number,tnumber} / {number,tnumber}: tnumber

The function will raise an error if the denominator will ever be equal to zero during the common timespan of the arguments.

SELECT 2 / tfloat '[1@2012-01-01, 3@2012-01-04)';
-- "[2@2012-01-01, 1@2012-01-02 12:00:00+00, 0.666666666666667@2012-01-04)"
SELECT tfloat '[1@2012-01-01, 5@2012-01-05)' / '[5@2012-01-01, 1@2012-01-05)'
-- "{[0.2@2012-01-01, 1@2012-01-03,2012-01-03, 5@2012-01-03,2012-01-05)}"
SELECT 2 / tfloat '[-1@2000-01-01, 1@2000-01-02]'
-- ERROR:  Division by zero
SELECT tfloat '[-1@2000-01-04, 1@2000-01-05]' / tfloat '[-1@2000-01-01, 1@2000-01-05]'
-- "[-2@2000-01-04, 1@2000-01-05]"

Round the values to a number of decimal places

round(tfloat,integer): tfloat

SELECT round(tfloat '[0.785398163397448@2000-01-01, 2.35619449019234@2000-01-02]', 2);
-- "[0.79@2000-01-01, 2.36@2000-01-02]"

Convert from radians to degrees

degrees(tfloat): tfloat

SELECT degrees(tfloat '[0.785398163397448@2000-01-01, 2.35619449019234@2000-01-02]');
-- "[45@2000-01-01, 135@2000-01-02]"

Get the derivative over time of the temporal float in units per second

derivative(tfloat): tfloat

The temporal float must have linear interpolation

SELECT derivative(tfloat '{[0@2000-01-01, 10@2000-01-02, 5@2000-01-03],
  [1@2000-01-04, 0@2000-01-05]}') * 3600 * 24;
--  Interp=Stepwise;{[-10@2000-01-01, 5@2000-01-02, 5@2000-01-03],
  [1@2000-01-04, 1@2000-01-05]}
SELECT derivative(tfloat 'Interp=Stepwise;[0@2000-01-01, 10@2000-01-02, 5@2000-01-03]');
-- ERROR:  The temporal value must have linear interpolation