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pgs_ellipse.sql.in
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pgs_ellipse.sql.in
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-- ****************************
--
-- spherical ellipse functions
--
-- ****************************
CREATE FUNCTION sellipse(spoint, float8, float8, float8)
RETURNS sellipse
AS 'MODULE_PATHNAME', 'sphereellipse_infunc'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse(spoint, float8, float8, float8) IS
'returns spherical ellipse from center, radius1, radius2 and inclination';
CREATE FUNCTION inc(sellipse)
RETURNS float8
AS 'MODULE_PATHNAME', 'sphereellipse_incl'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION inc(sellipse) IS
'inclination of spherical ellipse';
CREATE FUNCTION lrad(sellipse)
RETURNS float8
AS 'MODULE_PATHNAME', 'sphereellipse_rad1'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION lrad(sellipse) IS
'large radius of spherical ellipse';
CREATE FUNCTION srad(sellipse)
RETURNS float8
AS 'MODULE_PATHNAME', 'sphereellipse_rad2'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION srad(sellipse) IS
'small radius of spherical ellipse';
--
-- Casting point as ellipse
--
CREATE FUNCTION sellipse(spoint)
RETURNS sellipse
AS 'MODULE_PATHNAME', 'spherepoint_ellipse'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse(spoint) IS
'returns spherical point as spherical ellipse';
CREATE CAST (spoint AS sellipse)
WITH FUNCTION sellipse(spoint)
AS IMPLICIT;
--
-- Casting ellipse as circle
--
CREATE FUNCTION scircle(sellipse)
RETURNS scircle
AS 'MODULE_PATHNAME', 'sphereellipse_circle'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION scircle(sellipse) IS
'spherical bounding circle of spherical ellipse';
CREATE CAST (sellipse AS scircle)
WITH FUNCTION scircle(sellipse)
AS IMPLICIT;
--
-- Casting circle as ellipse
--
CREATE FUNCTION sellipse(scircle)
RETURNS sellipse
AS 'MODULE_PATHNAME', 'spherecircle_ellipse'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse(scircle) IS
'returns spherical circle as spherical ellipse';
CREATE CAST (scircle AS sellipse)
WITH FUNCTION sellipse(scircle)
AS IMPLICIT;
--
-- Casting ellipse as Euler transformation
--
CREATE FUNCTION strans(sellipse)
RETURNS strans
AS 'MODULE_PATHNAME', 'sphereellipse_trans'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION strans(sellipse) IS
'returns Euler transformation of spherical ellipse';
CREATE CAST (sellipse AS strans)
WITH FUNCTION strans(sellipse)
AS IMPLICIT;
-- ****************************
--
-- spherical ellipse operators
--
-- ****************************
CREATE FUNCTION center(sellipse)
RETURNS spoint
AS 'MODULE_PATHNAME', 'sphereellipse_center'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION center(sellipse) IS
'center of spherical ellipse';
CREATE OPERATOR @@ (
RIGHTARG = sellipse,
PROCEDURE = center
);
COMMENT ON OPERATOR @@ (NONE, sellipse) IS
'center of spherical ellipse';
--
-- equal
--
CREATE FUNCTION sellipse_equal(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_equal'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_equal(sellipse, sellipse) IS
'returns true, if spherical ellipses are equal';
CREATE OPERATOR = (
LEFTARG = sellipse,
RIGHTARG = sellipse,
COMMUTATOR = = ,
NEGATOR = <>,
PROCEDURE = sellipse_equal,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR = (sellipse, sellipse) IS
'true, if spherical ellipses are equal';
--
-- not equal
--
CREATE FUNCTION sellipse_equal_neg(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_equal_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_equal_neg(sellipse, sellipse) IS
'returns true, if spherical ellipses are not equal';
CREATE OPERATOR <> (
LEFTARG = sellipse,
RIGHTARG = sellipse,
COMMUTATOR = <>,
NEGATOR = = ,
PROCEDURE = sellipse_equal_neg,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR <> (sellipse, sellipse) IS
'true, if spherical ellipses are not equal';
--
-- ellipse contains ellipse
--
CREATE FUNCTION sellipse_contains_ellipse(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_ellipse'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_ellipse(sellipse, sellipse) IS
'true if spherical ellipse contains spherical ellipse';
--
-- ellipse is contained by ellipse
--
CREATE FUNCTION sellipse_contains_ellipse_com(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_ellipse_com'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_ellipse_com(sellipse, sellipse) IS
'true if spherical ellipse is contained by spherical ellipse';
--
-- ellipse does not contain ellipse
--
CREATE FUNCTION sellipse_contains_ellipse_neg(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_ellipse_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_ellipse_neg(sellipse, sellipse) IS
'true if spherical ellipse does not contain spherical ellipse';
--
-- ellipse is not contained by ellipse
--
CREATE FUNCTION sellipse_contains_ellipse_com_neg(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_ellipse_com_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_ellipse_com_neg(sellipse, sellipse) IS
'true if spherical ellipse is not contained by spherical ellipse';
--
-- ellipses overlap
--
CREATE FUNCTION sellipse_overlap_ellipse(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_ellipse'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_ellipse(sellipse, sellipse) IS
'true if spherical ellipse overlaps spherical ellipse';
CREATE OPERATOR && (
LEFTARG = sellipse,
RIGHTARG = sellipse,
PROCEDURE = sellipse_overlap_ellipse,
COMMUTATOR = '&&',
NEGATOR = '!&&',
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR && (sellipse, sellipse) IS
'true if spherical ellipses overlap';
--
-- ellipses do not overlap
--
CREATE FUNCTION sellipse_overlap_ellipse_neg(sellipse, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_ellipse_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_ellipse_neg(sellipse, sellipse) IS
'true if spherical ellipse does not overlap spherical ellipse';
CREATE OPERATOR !&& (
LEFTARG = sellipse,
RIGHTARG = sellipse,
PROCEDURE = sellipse_overlap_ellipse_neg,
COMMUTATOR = '!&&',
NEGATOR = '&&',
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR !&& (sellipse, sellipse) IS
'true if spherical ellipse does not overlap spherical ellipse';
--
-- ellipse contains point
--
CREATE FUNCTION sellipse_contains_point(sellipse, spoint)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_point'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_point(sellipse, spoint) IS
'true if spherical ellipse contains spherical point';
--
-- point is contained by ellipse
--
CREATE FUNCTION sellipse_contains_point_com(spoint, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_point_com'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_point_com(spoint, sellipse) IS
'true if spherical ellipse contains spherical point';
--
-- ellipse does not contain point
--
CREATE FUNCTION sellipse_contains_point_neg(sellipse, spoint)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_point_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_point_neg(sellipse, spoint) IS
'true if spherical ellipse contains spherical point';
--
-- point is not contained by ellipse
--
CREATE FUNCTION sellipse_contains_point_com_neg(spoint, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_point_com_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_point_com_neg(spoint, sellipse) IS
'true if spherical ellipse contains spherical point';
--
-- Transformation of ellipse
--
CREATE FUNCTION strans_ellipse(sellipse, strans)
RETURNS sellipse
AS 'MODULE_PATHNAME', 'spheretrans_ellipse'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION strans_ellipse (sellipse, strans) IS
'returns a transformated spherical ellipse';
CREATE OPERATOR + (
LEFTARG = sellipse,
RIGHTARG = strans,
PROCEDURE = strans_ellipse
);
COMMENT ON OPERATOR + (sellipse, strans) IS
'transforms a spherical ellipse';
CREATE FUNCTION strans_ellipse_inverse (sellipse, strans)
RETURNS sellipse
AS 'MODULE_PATHNAME', 'spheretrans_ellipse_inv'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION strans_ellipse_inverse (sellipse, strans) IS
'returns a inverse transformated spherical ellipse';
CREATE OPERATOR - (
LEFTARG = sellipse,
RIGHTARG = strans,
PROCEDURE = strans_ellipse_inverse
);
COMMENT ON OPERATOR - (sellipse, strans) IS
'transforms inverse a spherical ellipse';
--
-- ellipse contains circle
--
CREATE FUNCTION sellipse_contains_circle(sellipse, scircle)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_circle'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_circle(sellipse, scircle) IS
'true if spherical ellipse contains spherical circle';
--
-- circle is contained by ellipse
--
CREATE FUNCTION sellipse_contains_circle_com(scircle, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_circle_com'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_circle_com(scircle, sellipse) IS
'true if spherical ellipse contains spherical circle';
--
-- ellipse does not contain circle
--
CREATE FUNCTION sellipse_contains_circle_neg(sellipse, scircle)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_circle_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_circle_neg(sellipse, scircle) IS
'true if spherical ellipse does not contain spherical circle';
--
-- circle is not contained by ellipse
--
CREATE FUNCTION sellipse_contains_circle_com_neg(scircle, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_circle_com_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_circle_com_neg(scircle, sellipse) IS
'true if spherical ellipse does not contain spherical circle';
--
-- circle contains ellipse
--
CREATE FUNCTION scircle_contains_ellipse(scircle, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'spherecircle_cont_ellipse'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION scircle_contains_ellipse(scircle, sellipse) IS
'true if spherical circle contains spherical ellipse';
--
-- ellipse is contained by circle
--
CREATE FUNCTION scircle_contains_ellipse_com(sellipse, scircle)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'spherecircle_cont_ellipse_com'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION scircle_contains_ellipse_com(sellipse, scircle) IS
'true if spherical circle contains spherical ellipse';
--
-- circle does not contain ellipse
--
CREATE FUNCTION scircle_contains_ellipse_neg(scircle, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'spherecircle_cont_ellipse_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION scircle_contains_ellipse_neg(scircle, sellipse) IS
'true if spherical circle does not contain spherical ellipse';
--
-- ellipse is not contained by circle
--
CREATE FUNCTION scircle_contains_ellipse_com_neg(sellipse, scircle)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'spherecircle_cont_ellipse_com_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION scircle_contains_ellipse_com_neg(sellipse, scircle) IS
'true if spherical circle does not contain spherical ellipse';
--
-- circle overlaps ellipse
--
CREATE FUNCTION sellipse_overlap_circle(sellipse, scircle)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_circle'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_circle(sellipse, scircle) IS
'true if spherical circle overlap spherical ellipse';
CREATE OPERATOR && (
LEFTARG = sellipse,
RIGHTARG = scircle,
PROCEDURE = sellipse_overlap_circle,
COMMUTATOR = '&&',
NEGATOR = '!&&',
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR && (sellipse, scircle) IS
'true if spherical circle overlap spherical ellipse';
--
-- ellipse overlaps circle
--
CREATE FUNCTION sellipse_overlap_circle_com(scircle, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_circle_com'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_circle_com(scircle, sellipse) IS
'true if spherical circle overlap spherical ellipse';
CREATE OPERATOR && (
LEFTARG = scircle,
RIGHTARG = sellipse,
PROCEDURE = sellipse_overlap_circle_com,
COMMUTATOR = '&&',
NEGATOR = '!&&',
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR && (scircle, sellipse) IS
'true if spherical circle overlap spherical ellipse';
--
-- circle does not overlap ellipse
--
CREATE FUNCTION sellipse_overlap_circle_neg(sellipse, scircle)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_circle_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_circle_neg(sellipse, scircle) IS
'true if spherical circle does not overlap spherical ellipse';
CREATE OPERATOR !&& (
LEFTARG = sellipse,
RIGHTARG = scircle,
PROCEDURE = sellipse_overlap_circle_neg,
COMMUTATOR = '!&&',
NEGATOR = '&&',
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR !&& (sellipse, scircle) IS
'true if spherical circle does not overlap spherical ellipse';
--
-- ellipse does not overlap circle
--
CREATE FUNCTION sellipse_overlap_circle_com_neg(scircle, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_circle_com_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_circle_com_neg(scircle, sellipse) IS
'true if spherical circle does not overlap spherical ellipse';
CREATE OPERATOR !&& (
LEFTARG = scircle,
RIGHTARG = sellipse,
PROCEDURE = sellipse_overlap_circle_com_neg,
COMMUTATOR = '!&&',
NEGATOR = '&&',
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR !&& (scircle, sellipse) IS
'true if spherical circle does not overlap spherical ellipse';
--
-- ellipse overlaps line
--
CREATE FUNCTION sellipse_overlap_line (sellipse, sline)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_line'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_line (sellipse, sline) IS
'returns true if spherical line overlaps spherical ellipse';
CREATE OPERATOR && (
LEFTARG = sellipse,
RIGHTARG = sline,
PROCEDURE = sellipse_overlap_line,
COMMUTATOR = '&&',
NEGATOR = '!&&' ,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR && (sellipse, sline) IS
'true if spherical line overlaps spherical ellipse';
--
-- line overlaps ellipse
--
CREATE FUNCTION sellipse_overlap_line_com(sline, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_line_com'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_line_com(sline, sellipse) IS
'returns true if spherical line overlaps spherical ellipse';
CREATE OPERATOR && (
LEFTARG = sline,
RIGHTARG = sellipse,
PROCEDURE = sellipse_overlap_line_com,
COMMUTATOR = '&&',
NEGATOR = '!&&' ,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR && (sline, sellipse) IS
'true if spherical line overlaps spherical ellipse';
--
-- ellipse does not overlap line
--
CREATE FUNCTION sellipse_overlap_line_neg (sellipse, sline)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_line_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_line_neg (sellipse, sline) IS
'returns true if spherical line overlaps spherical ellipse';
CREATE OPERATOR !&& (
LEFTARG = sellipse,
RIGHTARG = sline,
PROCEDURE = sellipse_overlap_line_neg,
COMMUTATOR = '!&&',
NEGATOR = '&&' ,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR !&& (sellipse, sline) IS
'true if spherical line does not overlap spherical ellipse';
--
-- line does not overlap ellipse
--
CREATE FUNCTION sellipse_overlap_line_com_neg(sline, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_overlap_line_com_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_overlap_line_com_neg(sline, sellipse) IS
'returns true if spherical line does not overlap spherical ellipse';
CREATE OPERATOR !&& (
LEFTARG = sline,
RIGHTARG = sellipse,
PROCEDURE = sellipse_overlap_line_com_neg,
COMMUTATOR = '!&&',
NEGATOR = '&&' ,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR !&& (sline, sellipse) IS
'true if spherical line does not overlap spherical ellipse';
--
-- ellipse contains line
--
CREATE FUNCTION sellipse_contains_line(sellipse, sline)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_line'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_line(sellipse, sline) IS
'returns true if spherical ellipse contains spherical line';
--
-- line is contained by ellipse
--
CREATE FUNCTION sellipse_contains_line_com(sline, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_line_com'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_line_com(sline, sellipse) IS
'returns true if spherical ellipse contains spherical line';
--
-- ellipse does not contain line
--
CREATE FUNCTION sellipse_contains_line_neg(sellipse, sline)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_line_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_line_neg(sellipse, sline) IS
'returns true if spherical ellipse does not contain spherical line';
--
-- line is not contained by ellipse
--
CREATE FUNCTION sellipse_contains_line_com_neg(sline, sellipse)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'sphereellipse_cont_line_com_neg'
LANGUAGE 'c'
IMMUTABLE STRICT PARALLEL SAFE;
COMMENT ON FUNCTION sellipse_contains_line_com_neg(sline, sellipse) IS
'returns true if spherical ellipse does not contain spherical line';