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-- spherical transformation functions
CREATE FUNCTION strans_zxz(strans)
RETURNS strans
AS 'MODULE_PATHNAME', 'spheretrans_zxz'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_zxz(strans) IS
'returns Euler transformation as ZXZ transformation';
CREATE FUNCTION strans(FLOAT8, FLOAT8, FLOAT8)
RETURNS strans
AS 'MODULE_PATHNAME', 'spheretrans_from_float8'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans(FLOAT8, FLOAT8, FLOAT8) IS
'returns an transformation object using Euler angles (ZXZ)';
CREATE FUNCTION strans(FLOAT8, FLOAT8, FLOAT8, CSTRING)
RETURNS strans
AS 'MODULE_PATHNAME', 'spheretrans_from_float8_and_type'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans(FLOAT8, FLOAT8, FLOAT8, CSTRING) IS
'returns an transformation object using Euler angles and axis';
CREATE FUNCTION phi(strans)
RETURNS FLOAT8
AS 'MODULE_PATHNAME', 'spheretrans_phi'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION phi(strans) IS
'returns the first angle of Euler angles of a transformation object';
CREATE FUNCTION theta(strans)
RETURNS FLOAT8
AS 'MODULE_PATHNAME', 'spheretrans_theta'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION theta(strans) IS
'returns the second angle of Euler angles of a transformation object';
CREATE FUNCTION psi(strans)
RETURNS FLOAT8
AS 'MODULE_PATHNAME', 'spheretrans_psi'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION psi(strans) IS
'returns the third angle of Euler angles of a transformation object';
CREATE FUNCTION axes(strans)
RETURNS CHARACTER(3)
AS 'MODULE_PATHNAME', 'spheretrans_type'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION axes (strans) IS
'returns the axis of Euler angles of a transformation object';
-- spherical transformation operators
CREATE FUNCTION strans_equal(strans, strans)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'spheretrans_equal'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_equal(strans, strans) IS
'returns true, if Euler transformations are equal';
CREATE OPERATOR = (
LEFTARG = strans,
RIGHTARG = strans,
COMMUTATOR = = ,
NEGATOR = <>,
PROCEDURE = strans_equal,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR = (strans, strans) IS
'true, if Euler transformations are equal';
CREATE FUNCTION strans_not_equal(strans, strans)
RETURNS BOOL
AS 'MODULE_PATHNAME', 'spheretrans_not_equal'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_not_equal(strans, strans) IS
'returns true, if Euler transformations are not equal';
CREATE OPERATOR <> (
LEFTARG = strans,
RIGHTARG = strans,
COMMUTATOR = <>,
NEGATOR = = ,
PROCEDURE = strans_not_equal,
RESTRICT = contsel,
JOIN = contjoinsel
);
COMMENT ON OPERATOR <> (strans, strans) IS
'true, if spherical Euler transformations are not equal';
CREATE FUNCTION strans(strans)
RETURNS strans
AS 'MODULE_PATHNAME', 'spheretrans'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans(strans) IS
'returns Euler transformation';
CREATE OPERATOR + (
RIGHTARG = strans,
PROCEDURE = strans
);
COMMENT ON OPERATOR + (NONE, strans) IS
'returns Euler transformation';
CREATE FUNCTION strans_invert(strans)
RETURNS strans
AS 'MODULE_PATHNAME', 'spheretrans_invert'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_invert(strans) IS
'returns inverse Euler transformation';
CREATE OPERATOR - (
RIGHTARG = strans,
PROCEDURE = strans_invert
);
COMMENT ON OPERATOR - (NONE, strans) IS
'inverts Euler transformation';
CREATE FUNCTION strans_point(spoint, strans)
RETURNS spoint
AS 'MODULE_PATHNAME', 'spheretrans_point'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_point (spoint, strans) IS
'returns a transformated spherical point';
CREATE OPERATOR + (
LEFTARG = spoint,
RIGHTARG = strans,
PROCEDURE = strans_point
);
COMMENT ON OPERATOR + (spoint, strans) IS
'transforms a spherical point';
CREATE FUNCTION strans_point_inverse(spoint, strans)
RETURNS spoint
AS 'MODULE_PATHNAME', 'spheretrans_point_inverse'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_point_inverse (spoint, strans) IS
'returns a inverse transformated spherical point';
CREATE OPERATOR - (
LEFTARG = spoint,
RIGHTARG = strans,
PROCEDURE = strans_point_inverse
);
COMMENT ON OPERATOR - (spoint, strans) IS
'transforms inverse a spherical point';
CREATE FUNCTION strans_trans(strans, strans)
RETURNS strans
AS 'MODULE_PATHNAME', 'spheretrans_trans'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_trans (strans, strans) IS
'returns a transformated Euler transformation';
CREATE OPERATOR + (
LEFTARG = strans,
RIGHTARG = strans,
PROCEDURE = strans_trans
);
COMMENT ON OPERATOR + (strans, strans) IS
'transforms a Euler transformation';
CREATE FUNCTION strans_trans_inv(strans, strans)
RETURNS strans
AS 'MODULE_PATHNAME', 'spheretrans_trans_inv'
LANGUAGE 'c'
IMMUTABLE STRICT;
COMMENT ON FUNCTION strans_trans_inv (strans, strans) IS
'returns a inverse transformated Euler transformation';
CREATE OPERATOR - (
LEFTARG = strans,
RIGHTARG = strans,
PROCEDURE = strans_trans_inv
);
COMMENT ON OPERATOR - (strans, strans) IS
'transforms inverse a Euler transformation';
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