|  | 
| 3 | 3 | CREATE OR REPLACE FUNCTION nest2ring(integer, bigint) | 
| 4 | 4 | RETURNS bigint | 
| 5 | 5 | AS 'MODULE_PATHNAME', 'pg_nest2ring' | 
| 6 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 6 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 7 | 7 | COMMENT ON FUNCTION nest2ring(integer, bigint) IS | 
| 8 | 8 | 'converts nested Healpix index to a ring Healpix index for the specified integer level (first argument)'; | 
| 9 | 9 | 
 | 
| 10 | 10 | CREATE OR REPLACE FUNCTION ring2nest(integer, bigint) | 
| 11 | 11 | RETURNS bigint | 
| 12 | 12 | AS 'MODULE_PATHNAME', 'pg_ring2nest' | 
| 13 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 13 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 14 | 14 | COMMENT ON FUNCTION ring2nest(integer, bigint) IS | 
| 15 | 15 | 'converts ringe Healpix index to a nested Healpix index for the specified integer level (first argument)'; | 
| 16 | 16 | 
 | 
| 17 | 17 | CREATE OR REPLACE FUNCTION healpix_convert_nest(integer, integer, bigint) | 
| 18 | 18 | RETURNS bigint | 
| 19 | 19 | AS 'MODULE_PATHNAME' | 
| 20 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 20 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 21 | 21 | COMMENT ON FUNCTION healpix_convert_nest(integer, integer, bigint) IS | 
| 22 | 22 | 'converts nested Healpix index (last argument) from level of second argument to level of first argument'; | 
| 23 | 23 | 
 | 
| 24 | 24 | CREATE OR REPLACE FUNCTION healpix_convert_ring(integer, integer, bigint) | 
| 25 | 25 | RETURNS bigint | 
| 26 | 26 | AS 'MODULE_PATHNAME' | 
| 27 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 27 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 28 | 28 | COMMENT ON FUNCTION healpix_convert_ring(integer, integer, bigint) IS | 
| 29 | 29 | 'converts ring Healpix index (last argument) from level of second argument to level of first argument'; | 
| 30 | 30 | 
 | 
| 31 | 31 | CREATE OR REPLACE FUNCTION nside2order(bigint) | 
| 32 | 32 | RETURNS integer | 
| 33 | 33 | AS 'MODULE_PATHNAME', 'pg_nside2order' | 
| 34 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 34 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 35 | 35 | COMMENT ON FUNCTION nside2order(bigint) IS | 
| 36 | 36 | 'returns integer part of base-two logarithm of argument for powers of two up to 29'; | 
| 37 | 37 | 
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| 38 | 38 | CREATE OR REPLACE FUNCTION order2nside(integer) | 
| 39 | 39 | RETURNS bigint | 
| 40 | 40 | AS 'MODULE_PATHNAME', 'pg_order2nside' | 
| 41 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 41 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 42 | 42 | COMMENT ON FUNCTION order2nside(integer) IS | 
| 43 | 43 | 'returns power of two for non-negative values up to 29'; | 
| 44 | 44 | 
 | 
| 45 | 45 | CREATE OR REPLACE FUNCTION nside2npix(bigint) | 
| 46 | 46 | RETURNS bigint | 
| 47 | 47 | AS 'MODULE_PATHNAME', 'pg_nside2npix' | 
| 48 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 48 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 49 | 49 | COMMENT ON FUNCTION nside2npix(bigint) IS | 
| 50 | 50 | 'returns 12 * nside ^ 2, the number of Healpix elements for the nside parameter'; | 
| 51 | 51 | 
 | 
| 52 | 52 | CREATE OR REPLACE FUNCTION npix2nside(bigint) | 
| 53 | 53 | RETURNS bigint | 
| 54 | 54 | AS 'MODULE_PATHNAME', 'pg_npix2nside' | 
| 55 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 55 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 56 | 56 | COMMENT ON FUNCTION npix2nside(bigint) IS | 
| 57 | 57 | 'returns the nside parameter correspondig to the number of Healpix elements'; | 
| 58 | 58 | 
 | 
| 59 | 59 | CREATE OR REPLACE FUNCTION healpix_nest(integer, spoint) | 
| 60 | 60 | RETURNS bigint | 
| 61 | 61 | AS 'MODULE_PATHNAME' | 
| 62 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 62 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 63 | 63 | COMMENT ON FUNCTION healpix_nest(integer, spoint) IS | 
| 64 | 64 | 'nested Healpix index of a spherical point for the specified integer level (first argument)'; | 
| 65 | 65 | 
 | 
| 66 | 66 | CREATE OR REPLACE FUNCTION healpix_ring(integer, spoint) | 
| 67 | 67 | RETURNS bigint | 
| 68 | 68 | AS 'MODULE_PATHNAME' | 
| 69 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 69 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 70 | 70 | COMMENT ON FUNCTION healpix_ring(integer, spoint) IS | 
| 71 | 71 | 'Healpix ring index of a spherical point for the specified integer level (first argument)'; | 
| 72 | 72 | 
 | 
| 73 | 73 | CREATE OR REPLACE FUNCTION centre_of_healpix_nest(integer, bigint) | 
| 74 | 74 | RETURNS spoint | 
| 75 | 75 | AS 'MODULE_PATHNAME', 'inv_healpix_nest' | 
| 76 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 76 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 77 | 77 | COMMENT ON FUNCTION centre_of_healpix_nest(integer, bigint) IS | 
| 78 | 78 | 'spherical point designating the centre of a nested Healpix element for the specified integer level (first argument)'; | 
| 79 | 79 | 
 | 
| 80 | 80 | CREATE OR REPLACE FUNCTION centre_of_healpix_ring(integer, bigint) | 
| 81 | 81 | RETURNS spoint | 
| 82 | 82 | AS 'MODULE_PATHNAME', 'inv_healpix_ring' | 
| 83 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 83 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 84 | 84 | COMMENT ON FUNCTION centre_of_healpix_ring(integer, bigint) IS | 
| 85 | 85 | 'spherical point designating the centre of a ring Healpix element for the specified integer level (first argument)'; | 
| 86 | 86 | 
 | 
| 87 | 87 | CREATE OR REPLACE FUNCTION center_of_healpix_nest(integer, bigint) | 
| 88 | 88 | RETURNS spoint | 
| 89 | 89 | AS 'MODULE_PATHNAME', 'inv_healpix_nest' | 
| 90 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 90 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 91 | 91 | COMMENT ON FUNCTION center_of_healpix_nest(integer, bigint) IS | 
| 92 | 92 | 'spherical point designating the center of a nested Healpix element for the specified integer level (first argument)'; | 
| 93 | 93 | 
 | 
| 94 | 94 | CREATE OR REPLACE FUNCTION center_of_healpix_ring(integer, bigint) | 
| 95 | 95 | RETURNS spoint | 
| 96 | 96 | AS 'MODULE_PATHNAME', 'inv_healpix_ring' | 
| 97 |  | -LANGUAGE C IMMUTABLE STRICT; | 
|  | 97 | +LANGUAGE C IMMUTABLE STRICT PARALLEL SAFE; | 
| 98 | 98 | COMMENT ON FUNCTION center_of_healpix_ring(integer, bigint) IS | 
| 99 | 99 | 'spherical point designating the center of a ring Healpix element for the specified integer level (first argument)'; | 
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