PostGeoSQL/ST_3D_GeoAstroide_csc at main · CM-FOGS/PostGeoSQL · GitHub

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DROP FUNCTION IF EXISTS ST_3D_GeoAstroide_csc(
geom GEOMETRY,
distance float,
direction_degrees_teta numeric,
direction_degrees_fi numeric,
x_transform_angle numeric,
y_transform_angle numeric,
h_transform_angle numeric,
first_numerator_exponentiation numeric,
first_denominator_exponentiation numeric,
second_numerator_exponentiation numeric,
second_denominator_exponentiation numeric,
third_numerator_exponentiation numeric,
third_denominator_exponentiation numeric)

CREATE OR REPLACE FUNCTION ST_3D_GeoAstroide_csc(
geom GEOMETRY,
distance float,
direction_degrees_teta numeric,
direction_degrees_fi numeric,
x_transform_angle numeric,
y_transform_angle numeric,
h_transform_angle numeric,
first_numerator_exponentiation numeric,
first_denominator_exponentiation numeric,
second_numerator_exponentiation numeric,
second_denominator_exponentiation numeric,
third_numerator_exponentiation numeric,
third_denominator_exponentiation numeric)
RETURNS GEOMETRY AS
$BODY$
SELECT ST_MakePoint(
ST_X($1)+$2*(COSD($3+$5))^$8*$9,
ST_Y($1)+$2*(SIND($3+$6))^$10*$11,
ST_Z($1)+$2*(COSD($4+$7)^$12*$13)
);
$BODY$
LANGUAGE SQL

Example
1) SELECT ST_ASText(ST_SetSrid(ST_MakeLine(ST_3D_GeoAstroide_csc(geom, exp(COSD(i))-2*COSD(4*i)+(SIND(i/12))^5/7, i, r, 0, 0, 0, 1, 1, 1, 1, 1, 1)),4326)) geom FROM
(SELECT ST_MakePoint(0, 0, 0) geom, generate_series (0,360) i) foo CROSS JOIN generate_series (0,360,10) r;
2) SELECT ST_ASText(ST_SetSrid(ST_MakeLine(ST_3D_GeoAstroide_csc(geom, SIND(3*i) , i, r, 0, 0, 0, 1, 1, 1, 1, 1, 1)),4326)) geom FROM
(SELECT ST_MakePoint(0, 0, 0) geom, generate_series (0,360) i) foo CROSS JOIN generate_series (0,360,10) r
3) ...∞

*Experimental function*

* Note
To visualize the result of building ST_3D() function it is necessary to use PostGIS ST_AsX3D() function. The link to an example of its use is located at - https://postgis.net/docs/ST_AsX3D.html