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-- conversions to / from Healpix indexing
CREATE OR REPLACE FUNCTION nest2ring(integer, bigint)
RETURNS bigint
AS 'MODULE_PATHNAME', 'pg_nest2ring'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION nest2ring(integer, bigint) IS
'converts nested Healpix index to a ring Healpix index for the specified integer level (first argument)';
CREATE OR REPLACE FUNCTION ring2nest(integer, bigint)
RETURNS bigint
AS 'MODULE_PATHNAME', 'pg_ring2nest'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION ring2nest(integer, bigint) IS
'converts ringe Healpix index to a nested Healpix index for the specified integer level (first argument)';
CREATE OR REPLACE FUNCTION healpix_convert_nest(integer, integer, bigint)
RETURNS bigint
AS 'MODULE_PATHNAME'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION healpix_convert_nest(integer, integer, bigint) IS
'converts nested Healpix index (last argument) from level of second argument to level of first argument';
CREATE OR REPLACE FUNCTION healpix_convert_ring(integer, integer, bigint)
RETURNS bigint
AS 'MODULE_PATHNAME'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION healpix_convert_ring(integer, integer, bigint) IS
'converts ring Healpix index (last argument) from level of second argument to level of first argument';
CREATE OR REPLACE FUNCTION nside2order(bigint)
RETURNS integer
AS 'MODULE_PATHNAME', 'pg_nside2order'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION nside2order(bigint) IS
'returns integer part of base-two logarithm of argument for powers of two up to 29';
CREATE OR REPLACE FUNCTION order2nside(integer)
RETURNS bigint
AS 'MODULE_PATHNAME', 'pg_order2nside'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION order2nside(integer) IS
'returns power of two for non-negative values up to 29';
CREATE OR REPLACE FUNCTION nside2npix(bigint)
RETURNS bigint
AS 'MODULE_PATHNAME', 'pg_nside2npix'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION nside2npix(bigint) IS
'returns 12 * nside ^ 2, the number of Healpix elements for the nside parameter';
CREATE OR REPLACE FUNCTION npix2nside(bigint)
RETURNS bigint
AS 'MODULE_PATHNAME', 'pg_npix2nside'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION npix2nside(bigint) IS
'returns the nside parameter correspondig to the number of Healpix elements';
CREATE OR REPLACE FUNCTION healpix_nest(integer, spoint)
RETURNS bigint
AS 'MODULE_PATHNAME'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION healpix_nest(integer, spoint) IS
'nested Healpix index of a spherical point for the specified integer level (first argument)';
CREATE OR REPLACE FUNCTION healpix_ring(integer, spoint)
RETURNS bigint
AS 'MODULE_PATHNAME'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION healpix_ring(integer, spoint) IS
'Healpix ring index of a spherical point for the specified integer level (first argument)';
CREATE OR REPLACE FUNCTION centre_of_healpix_nest(integer, bigint)
RETURNS spoint
AS 'MODULE_PATHNAME', 'inv_healpix_nest'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION centre_of_healpix_nest(integer, bigint) IS
'spherical point designating the centre of a nested Healpix element for the specified integer level (first argument)';
CREATE OR REPLACE FUNCTION centre_of_healpix_ring(integer, bigint)
RETURNS spoint
AS 'MODULE_PATHNAME', 'inv_healpix_ring'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION centre_of_healpix_ring(integer, bigint) IS
'spherical point designating the centre of a ring Healpix element for the specified integer level (first argument)';
CREATE OR REPLACE FUNCTION center_of_healpix_nest(integer, bigint)
RETURNS spoint
AS 'MODULE_PATHNAME', 'inv_healpix_nest'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION center_of_healpix_nest(integer, bigint) IS
'spherical point designating the center of a nested Healpix element for the specified integer level (first argument)';
CREATE OR REPLACE FUNCTION center_of_healpix_ring(integer, bigint)
RETURNS spoint
AS 'MODULE_PATHNAME', 'inv_healpix_ring'
LANGUAGE C IMMUTABLE STRICT;
COMMENT ON FUNCTION center_of_healpix_ring(integer, bigint) IS
'spherical point designating the center of a ring Healpix element for the specified integer level (first argument)';
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