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tests
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abelvm
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@ -1,64 +1,3 @@
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/** ----------------------------------------------------------------------------------------
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* @function : FindCircle
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* @precis : Function that determines if three points form a circle. If so a table containing
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* centre and radius is returned. If not, a null table is returned.
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* @version : 1.0
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* @param : p_pt1 : First point in curve
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* @param : p_pt2 : Second point in curve
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* @param : p_pt3 : Third point in curve
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* @return : geometry : In which X,Y ordinates are the centre X, Y and the Z being the radius of found circle
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* or NULL if three points do not form a circle.
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* @history : Simon Greener - Feb 2012 - Original coding.
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* @copyright : Simon Greener @ 2012
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* Licensed under a Creative Commons Attribution-Share Alike 2.5 Australia License. (http://creativecommons.org/licenses/by-sa/2.5/au/)
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**/
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CREATE OR REPLACE FUNCTION _Find_Circle(p_pt1 geometry, p_pt2 geometry, p_pt3 geometry)
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RETURNS geometry AS
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$BODY$
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DECLARE
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v_Centre geometry;
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v_radius NUMERIC;
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v_CX NUMERIC;
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v_CY NUMERIC;
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v_dA NUMERIC;
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v_dB NUMERIC;
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v_dC NUMERIC;
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v_dD NUMERIC;
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v_dE NUMERIC;
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v_dF NUMERIC;
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v_dG NUMERIC;
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BEGIN
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IF ( p_pt1 IS NULL OR p_pt2 IS NULL OR p_pt3 IS NULL ) THEN
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RAISE EXCEPTION 'All supplied points must be not null.';
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RETURN NULL;
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END IF;
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IF ( ST_GeometryType(p_pt1) <> 'ST_Point' OR
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ST_GeometryType(p_pt1) <> 'ST_Point' OR
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ST_GeometryType(p_pt1) <> 'ST_Point' ) THEN
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RAISE EXCEPTION 'All supplied geometries must be points.';
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RETURN NULL;
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END IF;
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v_dA := ST_X(p_pt2) - ST_X(p_pt1);
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v_dB := ST_Y(p_pt2) - ST_Y(p_pt1);
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v_dC := ST_X(p_pt3) - ST_X(p_pt1);
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v_dD := ST_Y(p_pt3) - ST_Y(p_pt1);
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v_dE := v_dA * (ST_X(p_pt1) + ST_X(p_pt2)) + v_dB * (ST_Y(p_pt1) + ST_Y(p_pt2));
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v_dF := v_dC * (ST_X(p_pt1) + ST_X(p_pt3)) + v_dD * (ST_Y(p_pt1) + ST_Y(p_pt3));
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v_dG := 2.0 * (v_dA * (ST_Y(p_pt3) - ST_Y(p_pt2)) - v_dB * (ST_X(p_pt3) - ST_X(p_pt2)));
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-- If v_dG is zero then the three points are collinear and no finite-radius
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-- circle through them exists.
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IF ( v_dG = 0 ) THEN
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RETURN NULL;
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ELSE
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v_CX := (v_dD * v_dE - v_dB * v_dF) / v_dG;
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v_CY := (v_dA * v_dF - v_dC * v_dE) / v_dG;
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v_Radius := SQRT(POWER(ST_X(p_pt1) - v_CX,2) + POWER(ST_Y(p_pt1) - v_CY,2) );
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END IF;
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RETURN ST_SetSRID(ST_MakePoint(v_CX, v_CY, v_radius),ST_Srid(p_pt1));
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END;
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$BODY$
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LANGUAGE plpgsql VOLATILE STRICT;
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-- =============================================================================================
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--
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-- CDB_Voronoi
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@ -209,4 +148,64 @@ BEGIN
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END;
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$$ language plpgsql IMMUTABLE;
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/** ----------------------------------------------------------------------------------------
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* @function : FindCircle
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* @precis : Function that determines if three points form a circle. If so a table containing
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* centre and radius is returned. If not, a null table is returned.
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* @version : 1.0
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* @param : p_pt1 : First point in curve
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* @param : p_pt2 : Second point in curve
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* @param : p_pt3 : Third point in curve
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* @return : geometry : In which X,Y ordinates are the centre X, Y and the Z being the radius of found circle
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* or NULL if three points do not form a circle.
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* @history : Simon Greener - Feb 2012 - Original coding.
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* @copyright : Simon Greener @ 2012
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* Licensed under a Creative Commons Attribution-Share Alike 2.5 Australia License. (http://creativecommons.org/licenses/by-sa/2.5/au/)
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**/
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CREATE OR REPLACE FUNCTION _Find_Circle(p_pt1 geometry, p_pt2 geometry, p_pt3 geometry)
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RETURNS geometry AS
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$BODY$
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DECLARE
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v_Centre geometry;
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v_radius NUMERIC;
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v_CX NUMERIC;
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v_CY NUMERIC;
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v_dA NUMERIC;
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v_dB NUMERIC;
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v_dC NUMERIC;
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v_dD NUMERIC;
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v_dE NUMERIC;
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v_dF NUMERIC;
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v_dG NUMERIC;
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BEGIN
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IF ( p_pt1 IS NULL OR p_pt2 IS NULL OR p_pt3 IS NULL ) THEN
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RAISE EXCEPTION 'All supplied points must be not null.';
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RETURN NULL;
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END IF;
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IF ( ST_GeometryType(p_pt1) <> 'ST_Point' OR
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ST_GeometryType(p_pt1) <> 'ST_Point' OR
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ST_GeometryType(p_pt1) <> 'ST_Point' ) THEN
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RAISE EXCEPTION 'All supplied geometries must be points.';
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RETURN NULL;
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END IF;
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v_dA := ST_X(p_pt2) - ST_X(p_pt1);
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v_dB := ST_Y(p_pt2) - ST_Y(p_pt1);
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v_dC := ST_X(p_pt3) - ST_X(p_pt1);
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v_dD := ST_Y(p_pt3) - ST_Y(p_pt1);
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v_dE := v_dA * (ST_X(p_pt1) + ST_X(p_pt2)) + v_dB * (ST_Y(p_pt1) + ST_Y(p_pt2));
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v_dF := v_dC * (ST_X(p_pt1) + ST_X(p_pt3)) + v_dD * (ST_Y(p_pt1) + ST_Y(p_pt3));
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v_dG := 2.0 * (v_dA * (ST_Y(p_pt3) - ST_Y(p_pt2)) - v_dB * (ST_X(p_pt3) - ST_X(p_pt2)));
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-- If v_dG is zero then the three points are collinear and no finite-radius
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-- circle through them exists.
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IF ( v_dG = 0 ) THEN
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RETURN NULL;
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ELSE
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v_CX := (v_dD * v_dE - v_dB * v_dF) / v_dG;
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v_CY := (v_dA * v_dF - v_dC * v_dE) / v_dG;
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v_Radius := SQRT(POWER(ST_X(p_pt1) - v_CX,2) + POWER(ST_Y(p_pt1) - v_CY,2) );
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END IF;
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RETURN ST_SetSRID(ST_MakePoint(v_CX, v_CY, v_radius),ST_Srid(p_pt1));
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END;
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$BODY$
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LANGUAGE plpgsql VOLATILE STRICT;
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