diff --git a/doc/src/sgml/func.sgml b/doc/src/sgml/func.sgml index 90a2582dfd..63b870de04 100644 --- a/doc/src/sgml/func.sgml +++ b/doc/src/sgml/func.sgml @@ -9506,21 +9506,19 @@ CREATE TYPE rainbow AS ENUM ('red', 'orange', 'yellow', 'green', 'blue', 'purple geometric_type Multiplies each point of the first argument by the second - pointFor this purpose, the - product of two points - (x1,y1) and - (x2,y2) is - defined as - (x1*x2 - - y1*y2, - x1*y2 + - y1*x2).. - Interpreting the point as a vector, this is equivalent to + point (treating a point as being a complex number + represented by real and imaginary parts, and performing standard + complex multiplication). If one interprets + the second point as a vector, this is equivalent to scaling the object's size and distance from the origin by the length of the vector, and rotating it counterclockwise around the origin by the vector's angle from the x axis. - Available for point, box, path, - circle. + Available for point, box,Rotating a + box with these operators only moves its corner points: the box is + still considered to have sides parallel to the axes. Hence the box's + size is not preserved, as a true rotation would do. + path, circle. path '((0,0),(1,0),(1,1))' * point '(3.0,0)' ((0,0),(3,0),(3,3)) @@ -9535,26 +9533,16 @@ CREATE TYPE rainbow AS ENUM ('red', 'orange', 'yellow', 'green', 'blue', 'purple geometric_type / point geometric_type - Divides each point of the first argument by the - second pointFor this purpose, the - quotient of two points - (x1,y1) and - (x2,y2) is - defined as - ((x1*x2 + - y1*y2) / - L, - (y1*x2 - - x1*y2) / - L), - where L = - x2*x2 + - y2*y2.. - Interpreting the point as a vector, this is equivalent to + Divides each point of the first argument by the second + point (treating a point as being a complex number + represented by real and imaginary parts, and performing standard + complex division). If one interprets + the second point as a vector, this is equivalent to scaling the object's size and distance from the origin down by the length of the vector, and rotating it clockwise around the origin by the vector's angle from the x axis. - Available for point, box, path, + Available for point, box, path, circle. path '((0,0),(1,0),(1,1))' / point '(2.0,0)'