-- -- NUMERIC -- CREATE TABLE num_data (id int4, val numeric(210,10)); CREATE TABLE num_exp_add (id1 int4, id2 int4, expected numeric(210,10)); CREATE TABLE num_exp_sub (id1 int4, id2 int4, expected numeric(210,10)); CREATE TABLE num_exp_div (id1 int4, id2 int4, expected numeric(210,10)); CREATE TABLE num_exp_mul (id1 int4, id2 int4, expected numeric(210,10)); CREATE TABLE num_exp_sqrt (id int4, expected numeric(210,10)); CREATE TABLE num_exp_ln (id int4, expected numeric(210,10)); CREATE TABLE num_exp_log10 (id int4, expected numeric(210,10)); CREATE TABLE num_exp_power_10_ln (id int4, expected numeric(210,10)); CREATE TABLE num_result (id1 int4, id2 int4, result numeric(210,10)); -- ****************************** -- * The following EXPECTED results are computed by bc(1) -- * with a scale of 200 -- ****************************** BEGIN TRANSACTION; INSERT INTO num_exp_add VALUES (0,0,'0'); INSERT INTO num_exp_sub VALUES (0,0,'0'); INSERT INTO num_exp_mul VALUES (0,0,'0'); INSERT INTO num_exp_div VALUES (0,0,'NaN'); INSERT INTO num_exp_add VALUES (0,1,'0'); INSERT INTO num_exp_sub VALUES (0,1,'0'); INSERT INTO num_exp_mul VALUES (0,1,'0'); INSERT INTO num_exp_div VALUES (0,1,'NaN'); INSERT INTO num_exp_add VALUES (0,2,'-34338492.215397047'); INSERT INTO num_exp_sub VALUES (0,2,'34338492.215397047'); INSERT INTO num_exp_mul VALUES (0,2,'0'); INSERT INTO num_exp_div VALUES (0,2,'0'); INSERT INTO num_exp_add VALUES (0,3,'4.31'); INSERT INTO num_exp_sub VALUES (0,3,'-4.31'); INSERT INTO num_exp_mul VALUES (0,3,'0'); INSERT INTO num_exp_div VALUES (0,3,'0'); INSERT INTO num_exp_add VALUES (0,4,'7799461.4119'); INSERT INTO num_exp_sub VALUES (0,4,'-7799461.4119'); INSERT INTO num_exp_mul VALUES (0,4,'0'); INSERT INTO num_exp_div VALUES (0,4,'0'); INSERT INTO num_exp_add VALUES (0,5,'16397.038491'); INSERT INTO num_exp_sub VALUES (0,5,'-16397.038491'); INSERT INTO num_exp_mul VALUES (0,5,'0'); INSERT INTO num_exp_div VALUES (0,5,'0'); INSERT INTO num_exp_add VALUES (0,6,'93901.57763026'); INSERT INTO num_exp_sub VALUES (0,6,'-93901.57763026'); INSERT INTO num_exp_mul VALUES (0,6,'0'); INSERT INTO num_exp_div VALUES (0,6,'0'); INSERT INTO num_exp_add VALUES (0,7,'-83028485'); INSERT INTO num_exp_sub VALUES (0,7,'83028485'); INSERT INTO num_exp_mul VALUES (0,7,'0'); INSERT INTO num_exp_div VALUES (0,7,'0'); INSERT INTO num_exp_add VALUES (0,8,'74881'); INSERT INTO num_exp_sub VALUES (0,8,'-74881'); INSERT INTO num_exp_mul VALUES (0,8,'0'); INSERT INTO num_exp_div VALUES (0,8,'0'); INSERT INTO num_exp_add VALUES (0,9,'-24926804.045047420'); INSERT INTO num_exp_sub VALUES (0,9,'24926804.045047420'); INSERT INTO num_exp_mul VALUES (0,9,'0'); INSERT INTO num_exp_div VALUES (0,9,'0'); INSERT INTO num_exp_add VALUES (1,0,'0'); INSERT INTO num_exp_sub VALUES (1,0,'0'); INSERT INTO num_exp_mul VALUES (1,0,'0'); INSERT INTO num_exp_div VALUES (1,0,'NaN'); INSERT INTO num_exp_add VALUES (1,1,'0'); INSERT INTO num_exp_sub VALUES (1,1,'0'); INSERT INTO num_exp_mul VALUES (1,1,'0'); INSERT INTO num_exp_div VALUES (1,1,'NaN'); INSERT INTO num_exp_add VALUES (1,2,'-34338492.215397047'); INSERT INTO num_exp_sub VALUES (1,2,'34338492.215397047'); INSERT INTO num_exp_mul VALUES (1,2,'0'); INSERT INTO num_exp_div VALUES (1,2,'0'); INSERT INTO num_exp_add VALUES (1,3,'4.31'); INSERT INTO num_exp_sub VALUES (1,3,'-4.31'); INSERT INTO num_exp_mul VALUES (1,3,'0'); INSERT INTO num_exp_div VALUES (1,3,'0'); INSERT INTO num_exp_add VALUES (1,4,'7799461.4119'); INSERT INTO num_exp_sub VALUES (1,4,'-7799461.4119'); INSERT INTO num_exp_mul VALUES (1,4,'0'); INSERT INTO num_exp_div VALUES (1,4,'0'); INSERT INTO num_exp_add VALUES (1,5,'16397.038491'); INSERT INTO num_exp_sub VALUES (1,5,'-16397.038491'); INSERT INTO num_exp_mul VALUES (1,5,'0'); INSERT INTO num_exp_div VALUES (1,5,'0'); INSERT INTO num_exp_add VALUES (1,6,'93901.57763026'); INSERT INTO num_exp_sub VALUES (1,6,'-93901.57763026'); INSERT INTO num_exp_mul VALUES (1,6,'0'); INSERT INTO num_exp_div VALUES (1,6,'0'); INSERT INTO num_exp_add VALUES (1,7,'-83028485'); INSERT INTO num_exp_sub VALUES (1,7,'83028485'); INSERT INTO num_exp_mul VALUES (1,7,'0'); INSERT INTO num_exp_div VALUES (1,7,'0'); INSERT INTO num_exp_add VALUES (1,8,'74881'); INSERT INTO num_exp_sub VALUES (1,8,'-74881'); INSERT INTO num_exp_mul VALUES (1,8,'0'); INSERT INTO num_exp_div VALUES (1,8,'0'); INSERT INTO num_exp_add VALUES (1,9,'-24926804.045047420'); INSERT INTO num_exp_sub VALUES (1,9,'24926804.045047420'); INSERT INTO num_exp_mul VALUES (1,9,'0'); INSERT INTO num_exp_div VALUES (1,9,'0'); INSERT INTO num_exp_add VALUES (2,0,'-34338492.215397047'); INSERT INTO num_exp_sub VALUES (2,0,'-34338492.215397047'); INSERT INTO num_exp_mul VALUES (2,0,'0'); INSERT INTO num_exp_div VALUES (2,0,'NaN'); INSERT INTO num_exp_add VALUES (2,1,'-34338492.215397047'); INSERT INTO num_exp_sub VALUES (2,1,'-34338492.215397047'); INSERT INTO num_exp_mul VALUES (2,1,'0'); INSERT INTO num_exp_div VALUES (2,1,'NaN'); INSERT INTO num_exp_add VALUES (2,2,'-68676984.430794094'); INSERT INTO num_exp_sub VALUES (2,2,'0'); INSERT INTO num_exp_mul VALUES (2,2,'1179132047626883.596862135856320209'); INSERT INTO num_exp_div VALUES (2,2,'1.00000000000000000000'); INSERT INTO num_exp_add VALUES (2,3,'-34338487.905397047'); INSERT INTO num_exp_sub VALUES (2,3,'-34338496.525397047'); INSERT INTO num_exp_mul VALUES (2,3,'-147998901.44836127257'); INSERT INTO num_exp_div VALUES (2,3,'-7967167.56737750510440835266'); INSERT INTO num_exp_add VALUES (2,4,'-26539030.803497047'); INSERT INTO num_exp_sub VALUES (2,4,'-42137953.627297047'); INSERT INTO num_exp_mul VALUES (2,4,'-267821744976817.8111137106593'); INSERT INTO num_exp_div VALUES (2,4,'-4.40267480046830116685'); INSERT INTO num_exp_add VALUES (2,5,'-34322095.176906047'); INSERT INTO num_exp_sub VALUES (2,5,'-34354889.253888047'); INSERT INTO num_exp_mul VALUES (2,5,'-563049578578.769242506736077'); INSERT INTO num_exp_div VALUES (2,5,'-2094.18866914563535496429'); INSERT INTO num_exp_add VALUES (2,6,'-34244590.637766787'); INSERT INTO num_exp_sub VALUES (2,6,'-34432393.793027307'); INSERT INTO num_exp_mul VALUES (2,6,'-3224438592470.18449811926184222'); INSERT INTO num_exp_div VALUES (2,6,'-365.68599891479766440940'); INSERT INTO num_exp_add VALUES (2,7,'-117366977.215397047'); INSERT INTO num_exp_sub VALUES (2,7,'48689992.784602953'); INSERT INTO num_exp_mul VALUES (2,7,'2851072985828710.485883795'); INSERT INTO num_exp_div VALUES (2,7,'.41357483778485235518'); INSERT INTO num_exp_add VALUES (2,8,'-34263611.215397047'); INSERT INTO num_exp_sub VALUES (2,8,'-34413373.215397047'); INSERT INTO num_exp_mul VALUES (2,8,'-2571300635581.146276407'); INSERT INTO num_exp_div VALUES (2,8,'-458.57416721727870888476'); INSERT INTO num_exp_add VALUES (2,9,'-59265296.260444467'); INSERT INTO num_exp_sub VALUES (2,9,'-9411688.170349627'); INSERT INTO num_exp_mul VALUES (2,9,'855948866655588.453741509242968740'); INSERT INTO num_exp_div VALUES (2,9,'1.37757299946438931811'); INSERT INTO num_exp_add VALUES (3,0,'4.31'); INSERT INTO num_exp_sub VALUES (3,0,'4.31'); INSERT INTO num_exp_mul VALUES (3,0,'0'); INSERT INTO num_exp_div VALUES (3,0,'NaN'); INSERT INTO num_exp_add VALUES (3,1,'4.31'); INSERT INTO num_exp_sub VALUES (3,1,'4.31'); INSERT INTO num_exp_mul VALUES (3,1,'0'); INSERT INTO num_exp_div VALUES (3,1,'NaN'); INSERT INTO num_exp_add VALUES (3,2,'-34338487.905397047'); INSERT INTO num_exp_sub VALUES (3,2,'34338496.525397047'); INSERT INTO num_exp_mul VALUES (3,2,'-147998901.44836127257'); INSERT INTO num_exp_div VALUES (3,2,'-.00000012551512084352'); INSERT INTO num_exp_add VALUES (3,3,'8.62'); INSERT INTO num_exp_sub VALUES (3,3,'0'); INSERT INTO num_exp_mul VALUES (3,3,'18.5761'); INSERT INTO num_exp_div VALUES (3,3,'1.00000000000000000000'); INSERT INTO num_exp_add VALUES (3,4,'7799465.7219'); INSERT INTO num_exp_sub VALUES (3,4,'-7799457.1019'); INSERT INTO num_exp_mul VALUES (3,4,'33615678.685289'); INSERT INTO num_exp_div VALUES (3,4,'.00000055260225961552'); INSERT INTO num_exp_add VALUES (3,5,'16401.348491'); INSERT INTO num_exp_sub VALUES (3,5,'-16392.728491'); INSERT INTO num_exp_mul VALUES (3,5,'70671.23589621'); INSERT INTO num_exp_div VALUES (3,5,'.00026285234387695504'); INSERT INTO num_exp_add VALUES (3,6,'93905.88763026'); INSERT INTO num_exp_sub VALUES (3,6,'-93897.26763026'); INSERT INTO num_exp_mul VALUES (3,6,'404715.7995864206'); INSERT INTO num_exp_div VALUES (3,6,'.00004589912234457595'); INSERT INTO num_exp_add VALUES (3,7,'-83028480.69'); INSERT INTO num_exp_sub VALUES (3,7,'83028489.31'); INSERT INTO num_exp_mul VALUES (3,7,'-357852770.35'); INSERT INTO num_exp_div VALUES (3,7,'-.00000005190989574240'); INSERT INTO num_exp_add VALUES (3,8,'74885.31'); INSERT INTO num_exp_sub VALUES (3,8,'-74876.69'); INSERT INTO num_exp_mul VALUES (3,8,'322737.11'); INSERT INTO num_exp_div VALUES (3,8,'.00005755799201399553'); INSERT INTO num_exp_add VALUES (3,9,'-24926799.735047420'); INSERT INTO num_exp_sub VALUES (3,9,'24926808.355047420'); INSERT INTO num_exp_mul VALUES (3,9,'-107434525.43415438020'); INSERT INTO num_exp_div VALUES (3,9,'-.00000017290624149854'); INSERT INTO num_exp_add VALUES (4,0,'7799461.4119'); INSERT INTO num_exp_sub VALUES (4,0,'7799461.4119'); 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INSERT INTO num_exp_add VALUES (8,6,'168782.57763026'); INSERT INTO num_exp_sub VALUES (8,6,'-19020.57763026'); INSERT INTO num_exp_mul VALUES (8,6,'7031444034.53149906'); INSERT INTO num_exp_div VALUES (8,6,'.79744134113322314424'); INSERT INTO num_exp_add VALUES (8,7,'-82953604'); INSERT INTO num_exp_sub VALUES (8,7,'83103366'); INSERT INTO num_exp_mul VALUES (8,7,'-6217255985285'); INSERT INTO num_exp_div VALUES (8,7,'-.00090187120721280172'); INSERT INTO num_exp_add VALUES (8,8,'149762'); INSERT INTO num_exp_sub VALUES (8,8,'0'); INSERT INTO num_exp_mul VALUES (8,8,'5607164161'); INSERT INTO num_exp_div VALUES (8,8,'1.00000000000000000000'); INSERT INTO num_exp_add VALUES (8,9,'-24851923.045047420'); INSERT INTO num_exp_sub VALUES (8,9,'25001685.045047420'); INSERT INTO num_exp_mul VALUES (8,9,'-1866544013697.195857020'); INSERT INTO num_exp_div VALUES (8,9,'-.00300403532938582735'); INSERT INTO num_exp_add VALUES (9,0,'-24926804.045047420'); INSERT INTO num_exp_sub VALUES (9,0,'-24926804.045047420'); INSERT INTO num_exp_mul VALUES (9,0,'0'); INSERT INTO num_exp_div VALUES (9,0,'NaN'); INSERT INTO num_exp_add VALUES (9,1,'-24926804.045047420'); INSERT INTO num_exp_sub VALUES (9,1,'-24926804.045047420'); INSERT INTO num_exp_mul VALUES (9,1,'0'); INSERT INTO num_exp_div VALUES (9,1,'NaN'); INSERT INTO num_exp_add VALUES (9,2,'-59265296.260444467'); INSERT INTO num_exp_sub VALUES (9,2,'9411688.170349627'); INSERT INTO num_exp_mul VALUES (9,2,'855948866655588.453741509242968740'); INSERT INTO num_exp_div VALUES (9,2,'.72591434384152961526'); INSERT INTO num_exp_add VALUES (9,3,'-24926799.735047420'); INSERT INTO num_exp_sub VALUES (9,3,'-24926808.355047420'); INSERT INTO num_exp_mul VALUES (9,3,'-107434525.43415438020'); INSERT INTO num_exp_div VALUES (9,3,'-5783481.21694835730858468677'); INSERT INTO num_exp_add VALUES (9,4,'-17127342.633147420'); INSERT INTO num_exp_sub VALUES (9,4,'-32726265.456947420'); INSERT INTO num_exp_mul VALUES (9,4,'-194415646271340.1815956522980'); INSERT INTO num_exp_div VALUES (9,4,'-3.19596478892958416484'); INSERT INTO num_exp_add VALUES (9,5,'-24910407.006556420'); INSERT INTO num_exp_sub VALUES (9,5,'-24943201.083538420'); INSERT INTO num_exp_mul VALUES (9,5,'-408725765384.257043660243220'); INSERT INTO num_exp_div VALUES (9,5,'-1520.20159364322004505807'); INSERT INTO num_exp_add VALUES (9,6,'-24832902.467417160'); INSERT INTO num_exp_sub VALUES (9,6,'-25020705.622677680'); INSERT INTO num_exp_mul VALUES (9,6,'-2340666225110.29929521292692920'); INSERT INTO num_exp_div VALUES (9,6,'-265.45671195426965751280'); INSERT INTO num_exp_add VALUES (9,7,'-107955289.045047420'); INSERT INTO num_exp_sub VALUES (9,7,'58101680.954952580'); INSERT INTO num_exp_mul VALUES (9,7,'2069634775752159.035758700'); INSERT INTO num_exp_div VALUES (9,7,'.30021990699995814689'); INSERT INTO num_exp_add VALUES (9,8,'-24851923.045047420'); INSERT INTO num_exp_sub VALUES (9,8,'-25001685.045047420'); INSERT INTO num_exp_mul VALUES (9,8,'-1866544013697.195857020'); INSERT INTO num_exp_div VALUES (9,8,'-332.88556569820675471748'); INSERT INTO num_exp_add VALUES (9,9,'-49853608.090094840'); INSERT INTO num_exp_sub VALUES (9,9,'0'); INSERT INTO num_exp_mul VALUES (9,9,'621345559900192.420120630048656400'); INSERT INTO num_exp_div VALUES (9,9,'1.00000000000000000000'); COMMIT TRANSACTION; BEGIN TRANSACTION; INSERT INTO num_exp_sqrt VALUES (0,'0'); INSERT INTO num_exp_sqrt VALUES (1,'0'); INSERT INTO num_exp_sqrt VALUES (2,'5859.90547836712524903505'); INSERT INTO num_exp_sqrt VALUES (3,'2.07605394920266944396'); INSERT INTO num_exp_sqrt VALUES (4,'2792.75158435189147418923'); INSERT INTO num_exp_sqrt VALUES (5,'128.05092147657509145473'); INSERT INTO num_exp_sqrt VALUES (6,'306.43364311096782703406'); INSERT INTO num_exp_sqrt VALUES (7,'9111.99676251039939975230'); INSERT INTO num_exp_sqrt VALUES (8,'273.64392922189960397542'); INSERT INTO num_exp_sqrt VALUES (9,'4992.67503899937593364766'); COMMIT TRANSACTION; BEGIN TRANSACTION; INSERT INTO num_exp_ln VALUES (0,'NaN'); INSERT INTO num_exp_ln VALUES (1,'NaN'); INSERT INTO num_exp_ln VALUES (2,'17.35177750493897715514'); INSERT INTO num_exp_ln VALUES (3,'1.46093790411565641971'); INSERT INTO num_exp_ln VALUES (4,'15.86956523951936572464'); INSERT INTO num_exp_ln VALUES (5,'9.70485601768871834038'); INSERT INTO num_exp_ln VALUES (6,'11.45000246622944403127'); INSERT INTO num_exp_ln VALUES (7,'18.23469429965478772991'); INSERT INTO num_exp_ln VALUES (8,'11.22365546576315513668'); INSERT INTO num_exp_ln VALUES (9,'17.03145425013166006962'); COMMIT TRANSACTION; BEGIN TRANSACTION; INSERT INTO num_exp_log10 VALUES (0,'NaN'); INSERT INTO num_exp_log10 VALUES (1,'NaN'); INSERT INTO num_exp_log10 VALUES (2,'7.53578122160797276459'); INSERT INTO num_exp_log10 VALUES (3,'.63447727016073160075'); INSERT INTO num_exp_log10 VALUES (4,'6.89206461372691743345'); INSERT INTO num_exp_log10 VALUES (5,'4.21476541614777768626'); INSERT INTO num_exp_log10 VALUES (6,'4.97267288886207207671'); INSERT INTO num_exp_log10 VALUES (7,'7.91922711353275546914'); INSERT INTO num_exp_log10 VALUES (8,'4.87437163556421004138'); INSERT INTO num_exp_log10 VALUES (9,'7.39666659961986567059'); COMMIT TRANSACTION; BEGIN TRANSACTION; INSERT INTO num_exp_power_10_ln VALUES (0,'NaN'); INSERT INTO num_exp_power_10_ln VALUES (1,'NaN'); INSERT INTO num_exp_power_10_ln VALUES (2,'224790267919917955.13261618583642653184'); INSERT INTO num_exp_power_10_ln VALUES (3,'28.90266599445155957393'); INSERT INTO num_exp_power_10_ln VALUES (4,'7405685069594999.07733999469386277636'); INSERT INTO num_exp_power_10_ln VALUES (5,'5068226527.32127265408584640098'); INSERT INTO num_exp_power_10_ln VALUES (6,'281839893606.99372343357047819067'); INSERT INTO num_exp_power_10_ln VALUES (7,'1716699575118597095.42330819910640247627'); INSERT INTO num_exp_power_10_ln VALUES (8,'167361463828.07491320069016125952'); INSERT INTO num_exp_power_10_ln VALUES (9,'107511333880052007.04141124673540337457'); COMMIT TRANSACTION; BEGIN TRANSACTION; INSERT INTO num_data VALUES (0, '0'); INSERT INTO num_data VALUES (1, '0'); INSERT INTO num_data VALUES (2, '-34338492.215397047'); INSERT INTO num_data VALUES (3, '4.31'); INSERT INTO num_data VALUES (4, '7799461.4119'); INSERT INTO num_data VALUES (5, '16397.038491'); INSERT INTO num_data VALUES (6, '93901.57763026'); INSERT INTO num_data VALUES (7, '-83028485'); INSERT INTO num_data VALUES (8, '74881'); INSERT INTO num_data VALUES (9, '-24926804.045047420'); COMMIT TRANSACTION; -- ****************************** -- * Create indices for faster checks -- ****************************** CREATE UNIQUE INDEX num_exp_add_idx ON num_exp_add (id1, id2); ERROR: Cannot create unique index. Table contains non-unique values CREATE UNIQUE INDEX num_exp_sub_idx ON num_exp_sub (id1, id2); ERROR: Cannot create unique index. Table contains non-unique values CREATE UNIQUE INDEX num_exp_div_idx ON num_exp_div (id1, id2); ERROR: Cannot create unique index. Table contains non-unique values CREATE UNIQUE INDEX num_exp_mul_idx ON num_exp_mul (id1, id2); ERROR: Cannot create unique index. Table contains non-unique values CREATE UNIQUE INDEX num_exp_sqrt_idx ON num_exp_sqrt (id); CREATE UNIQUE INDEX num_exp_ln_idx ON num_exp_ln (id); CREATE UNIQUE INDEX num_exp_log10_idx ON num_exp_log10 (id); CREATE UNIQUE INDEX num_exp_power_10_ln_idx ON num_exp_power_10_ln (id); VACUUM ANALYZE num_exp_add; VACUUM ANALYZE num_exp_sub; VACUUM ANALYZE num_exp_div; VACUUM ANALYZE num_exp_mul; VACUUM ANALYZE num_exp_sqrt; VACUUM ANALYZE num_exp_ln; VACUUM ANALYZE num_exp_log10; VACUUM ANALYZE num_exp_power_10_ln; -- ****************************** -- * Now check the behaviour of the NUMERIC type -- ****************************** -- ****************************** -- * Addition check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, t1.val + t2.val FROM num_data t1, num_data t2; SELECT t1.id1, t1.id2, t1.result, t2.expected FROM num_result t1, num_exp_add t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != t2.expected; id1 | id2 | result | expected -----+-----+--------+---------- (0 rows) DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, round(t1.val + t2.val, 10) FROM num_data t1, num_data t2; SELECT t1.id1, t1.id2, t1.result, round(t2.expected, 10) as expected FROM num_result t1, num_exp_add t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != round(t2.expected, 10); id1 | id2 | result | expected -----+-----+--------+---------- (0 rows) -- ****************************** -- * Subtraction check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, t1.val - t2.val FROM num_data t1, num_data t2; SELECT t1.id1, t1.id2, t1.result, t2.expected FROM num_result t1, num_exp_sub t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != t2.expected; id1 | id2 | result | expected -----+-----+--------+---------- (0 rows) DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, round(t1.val - t2.val, 40) FROM num_data t1, num_data t2; SELECT t1.id1, t1.id2, t1.result, round(t2.expected, 40) FROM num_result t1, num_exp_sub t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != round(t2.expected, 40); id1 | id2 | result | round -----+-----+--------+------- (0 rows) -- ****************************** -- * Multiply check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, t1.val * t2.val FROM num_data t1, num_data t2; SELECT t1.id1, t1.id2, t1.result, t2.expected FROM num_result t1, num_exp_mul t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != t2.expected; id1 | id2 | result | expected -----+-----+--------+---------- (0 rows) DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, round(t1.val * t2.val, 30) FROM num_data t1, num_data t2; SELECT t1.id1, t1.id2, t1.result, round(t2.expected, 30) as expected FROM num_result t1, num_exp_mul t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != round(t2.expected, 30); id1 | id2 | result | expected -----+-----+--------+---------- (0 rows) -- ****************************** -- * Division check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, t1.val / t2.val FROM num_data t1, num_data t2 WHERE t2.val != '0.0'; SELECT t1.id1, t1.id2, t1.result, t2.expected FROM num_result t1, num_exp_div t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != t2.expected; id1 | id2 | result | expected -----+-----+--------+---------- (0 rows) DELETE FROM num_result; INSERT INTO num_result SELECT t1.id, t2.id, round(t1.val / t2.val, 80) FROM num_data t1, num_data t2 WHERE t2.val != '0.0'; SELECT t1.id1, t1.id2, t1.result, round(t2.expected, 80) as expected FROM num_result t1, num_exp_div t2 WHERE t1.id1 = t2.id1 AND t1.id2 = t2.id2 AND t1.result != round(t2.expected, 80); id1 | id2 | result | expected -----+-----+--------+---------- (0 rows) -- ****************************** -- * Square root check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT id, 0, SQRT(ABS(val)) FROM num_data; SELECT t1.id1, t1.result, t2.expected FROM num_result t1, num_exp_sqrt t2 WHERE t1.id1 = t2.id AND t1.result != t2.expected; id1 | result | expected -----+--------+---------- (0 rows) -- ****************************** -- * Natural logarithm check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT id, 0, LN(ABS(val)) FROM num_data WHERE val != '0.0'; SELECT t1.id1, t1.result, t2.expected FROM num_result t1, num_exp_ln t2 WHERE t1.id1 = t2.id AND t1.result != t2.expected; id1 | result | expected -----+--------+---------- (0 rows) -- ****************************** -- * Logarithm base 10 check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT id, 0, LOG(numeric '10', ABS(val)) FROM num_data WHERE val != '0.0'; SELECT t1.id1, t1.result, t2.expected FROM num_result t1, num_exp_log10 t2 WHERE t1.id1 = t2.id AND t1.result != t2.expected; id1 | result | expected -----+--------+---------- (0 rows) -- ****************************** -- * POW(10, LN(value)) check -- ****************************** DELETE FROM num_result; INSERT INTO num_result SELECT id, 0, POW(numeric '10', LN(ABS(round(val,200)))) FROM num_data WHERE val != '0.0'; SELECT t1.id1, t1.result, t2.expected FROM num_result t1, num_exp_power_10_ln t2 WHERE t1.id1 = t2.id AND t1.result != t2.expected; id1 | result | expected -----+--------+---------- (0 rows) -- ****************************** -- * miscellaneous checks for things that have been broken in the past... -- ****************************** -- numeric AVG used to fail on some platforms SELECT AVG(val) FROM num_data; avg ---------------------- -13430913.5922423207 (1 row) -- Check for appropriate rounding and overflow CREATE TABLE fract_only (id int, val numeric(4,4)); INSERT INTO fract_only VALUES (1, '0.0'); INSERT INTO fract_only VALUES (2, '0.1'); INSERT INTO fract_only VALUES (3, '1.0'); -- should fail ERROR: overflow on numeric ABS(value) >= 10^0 for field with precision 4 scale 4 INSERT INTO fract_only VALUES (4, '-0.9999'); INSERT INTO fract_only VALUES (5, '0.99994'); INSERT INTO fract_only VALUES (6, '0.99995'); -- should fail ERROR: overflow on numeric ABS(value) >= 10^0 for field with precision 4 scale 4 INSERT INTO fract_only VALUES (7, '0.00001'); INSERT INTO fract_only VALUES (8, '0.00017'); SELECT * FROM fract_only; id | val ----+--------- 1 | 0.0000 2 | 0.1000 4 | -0.9999 5 | 0.9999 7 | 0.0000 8 | 0.0002 (6 rows) DROP TABLE fract_only; -- TO_CHAR() -- SELECT '' AS to_char_1, to_char(val, '9G999G999G999G999G999') FROM num_data; to_char_1 | to_char -----------+------------------------ | 0 | 0 | -34,338,492 | 4 | 7,799,461 | 16,397 | 93,902 | -83,028,485 | 74,881 | -24,926,804 (10 rows) SELECT '' AS to_char_2, to_char(val, '9G999G999G999G999G999D999G999G999G999G999') FROM num_data; to_char_2 | to_char -----------+-------------------------------------------- | .000,000,000,000,000 | .000,000,000,000,000 | -34,338,492.215,397,047,000,000 | 4.310,000,000,000,000 | 7,799,461.411,900,000,000,000 | 16,397.038,491,000,000,000 | 93,901.577,630,260,000,000 | -83,028,485.000,000,000,000,000 | 74,881.000,000,000,000,000 | -24,926,804.045,047,420,000,000 (10 rows) SELECT '' AS to_char_3, to_char(val, '9999999999999999.999999999999999PR') FROM num_data; to_char_3 | to_char -----------+------------------------------------ | .000000000000000 | .000000000000000 | <34338492.215397047000000> | 4.310000000000000 | 7799461.411900000000000 | 16397.038491000000000 | 93901.577630260000000 | <83028485.000000000000000> | 74881.000000000000000 | <24926804.045047420000000> (10 rows) SELECT '' AS to_char_4, to_char(val, '9999999999999999.999999999999999S') FROM num_data; to_char_4 | to_char -----------+----------------------------------- | .000000000000000+ | .000000000000000+ | 34338492.215397047000000- | 4.310000000000000+ | 7799461.411900000000000+ | 16397.038491000000000+ | 93901.577630260000000+ | 83028485.000000000000000- | 74881.000000000000000+ | 24926804.045047420000000- (10 rows) SELECT '' AS to_char_5, to_char(val, 'MI9999999999999999.999999999999999') FROM num_data; to_char_5 | to_char -----------+------------------------------------ | .000000000000000 | .000000000000000 | - 34338492.215397047000000 | 4.310000000000000 | 7799461.411900000000000 | 16397.038491000000000 | 93901.577630260000000 | - 83028485.000000000000000 | 74881.000000000000000 | - 24926804.045047420000000 (10 rows) SELECT '' AS to_char_6, to_char(val, 'FMS9999999999999999.999999999999999') FROM num_data; to_char_6 | to_char -----------+--------------------- | +0. | +0. | -34338492.215397047 | +4.31 | +7799461.4119 | +16397.038491 | +93901.57763026 | -83028485 | +74881 | -24926804.04504742 (10 rows) SELECT '' AS to_char_7, to_char(val, 'FM9999999999999999.999999999999999THPR') FROM num_data; to_char_7 | to_char -----------+---------------------- | 0. | 0. | <34338492.215397047> | 4.31 | 7799461.4119 | 16397.038491 | 93901.57763026 | <83028485> | 74881 | <24926804.04504742> (10 rows) SELECT '' AS to_char_8, to_char(val, 'SG9999999999999999.999999999999999th') FROM num_data; to_char_8 | to_char -----------+----------------------------------- | + .000000000000000 | + .000000000000000 | - 34338492.215397047000000 | + 4.310000000000000 | + 7799461.411900000000000 | + 16397.038491000000000 | + 93901.577630260000000 | - 83028485.000000000000000 | + 74881.000000000000000 | - 24926804.045047420000000 (10 rows) SELECT '' AS to_char_9, to_char(val, '0999999999999999.999999999999999') FROM num_data; to_char_9 | to_char -----------+----------------------------------- | 0000000000000000.000000000000000 | 0000000000000000.000000000000000 | -0000000034338492.215397047000000 | 0000000000000004.310000000000000 | 0000000007799461.411900000000000 | 0000000000016397.038491000000000 | 0000000000093901.577630260000000 | -0000000083028485.000000000000000 | 0000000000074881.000000000000000 | -0000000024926804.045047420000000 (10 rows) SELECT '' AS to_char_10, to_char(val, 'S0999999999999999.999999999999999') FROM num_data; to_char_10 | to_char ------------+----------------------------------- | +0000000000000000.000000000000000 | +0000000000000000.000000000000000 | -0000000034338492.215397047000000 | +0000000000000004.310000000000000 | +0000000007799461.411900000000000 | +0000000000016397.038491000000000 | +0000000000093901.577630260000000 | -0000000083028485.000000000000000 | +0000000000074881.000000000000000 | -0000000024926804.045047420000000 (10 rows) SELECT '' AS to_char_11, to_char(val, 'FM0999999999999999.999999999999999') FROM num_data; to_char_11 | to_char ------------+----------------------------- | 0000000000000000. | 0000000000000000. | -0000000034338492.215397047 | 0000000000000004.31 | 0000000007799461.4119 | 0000000000016397.038491 | 0000000000093901.57763026 | -0000000083028485 | 0000000000074881 | -0000000024926804.04504742 (10 rows) SELECT '' AS to_char_12, to_char(val, 'FM9999999999999999.099999999999999') FROM num_data; to_char_12 | to_char ------------+--------------------- | .0 | .0 | -34338492.215397047 | 4.31 | 7799461.4119 | 16397.038491 | 93901.57763026 | -83028485.0 | 74881.0 | -24926804.04504742 (10 rows) SELECT '' AS to_char_13, to_char(val, 'FM9999999999990999.990999999999999') FROM num_data; to_char_13 | to_char ------------+--------------------- | 0000.000 | 0000.000 | -34338492.215397047 | 0004.310 | 7799461.4119 | 16397.038491 | 93901.57763026 | -83028485.000 | 74881.000 | -24926804.04504742 (10 rows) SELECT '' AS to_char_14, to_char(val, 'FM0999999999999999.999909999999999') FROM num_data; to_char_14 | to_char ------------+----------------------------- | 0000000000000000.00000 | 0000000000000000.00000 | -0000000034338492.215397047 | 0000000000000004.31000 | 0000000007799461.41190 | 0000000000016397.038491 | 0000000000093901.57763026 | -0000000083028485.00000 | 0000000000074881.00000 | -0000000024926804.04504742 (10 rows) SELECT '' AS to_char_15, to_char(val, 'FM9999999990999999.099999999999999') FROM num_data; to_char_15 | to_char ------------+--------------------- | 0000000.0 | 0000000.0 | -34338492.215397047 | 0000004.31 | 7799461.4119 | 0016397.038491 | 0093901.57763026 | -83028485.0 | 0074881.0 | -24926804.04504742 (10 rows) SELECT '' AS to_char_16, to_char(val, 'L9999999999999999.099999999999999') FROM num_data; to_char_16 | to_char ------------+------------------------------------ | .000000000000000 | .000000000000000 | -34338492.215397047000000 | 4.310000000000000 | 7799461.411900000000000 | 16397.038491000000000 | 93901.577630260000000 | -83028485.000000000000000 | 74881.000000000000000 | -24926804.045047420000000 (10 rows) SELECT '' AS to_char_17, to_char(val, 'FM9999999999999999.99999999999999') FROM num_data; to_char_17 | to_char ------------+--------------------- | 0. | 0. | -34338492.215397047 | 4.31 | 7799461.4119 | 16397.038491 | 93901.57763026 | -83028485 | 74881 | -24926804.04504742 (10 rows) SELECT '' AS to_char_18, to_char(val, 'S 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 . 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9') FROM num_data; to_char_18 | to_char ------------+----------------------------------------------------------------------- | . +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | . +0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -3 4 3 3 8 4 9 2 . 2 1 5 3 9 7 0 4 7 0 0 0 0 0 0 0 0 | +4 . 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +7 7 9 9 4 6 1 . 4 1 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 | +1 6 3 9 7 . 0 3 8 4 9 1 0 0 0 0 0 0 0 0 0 0 0 | +9 3 9 0 1 . 5 7 7 6 3 0 2 6 0 0 0 0 0 0 0 0 0 | -8 3 0 2 8 4 8 5 . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | +7 4 8 8 1 . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | -2 4 9 2 6 8 0 4 . 0 4 5 0 4 7 4 2 0 0 0 0 0 0 0 0 0 (10 rows) SELECT '' AS to_char_19, to_char(val, 'FMS 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 . 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9') FROM num_data; to_char_19 | to_char ------------+------------------------------------------------------- | + 0 . | + 0 . | - 3 4 3 3 8 4 9 2 . 2 1 5 3 9 7 0 4 7 | + 4 . 3 1 | + 7 7 9 9 4 6 1 . 4 1 1 9 | + 1 6 3 9 7 . 0 3 8 4 9 1 | + 9 3 9 0 1 . 5 7 7 6 3 0 2 6 | - 8 3 0 2 8 4 8 5 | + 7 4 8 8 1 | - 2 4 9 2 6 8 0 4 . 0 4 5 0 4 7 4 2 (10 rows) SELECT '' AS to_char_20, to_char(val, '99999 "text" 9999 "9999" 999 "\\"text between quote marks\\"" 9999') FROM num_data; to_char_20 | to_char ------------+----------------------------------------------------------- | text 9999 "text between quote marks" 0 | text 9999 "text between quote marks" 0 | text -3 9999 433 "text between quote marks" 8492 | text 9999 "text between quote marks" 4 | text 9999 779 "text between quote marks" 9461 | text 9999 1 "text between quote marks" 6397 | text 9999 9 "text between quote marks" 3902 | text -8 9999 302 "text between quote marks" 8485 | text 9999 7 "text between quote marks" 4881 | text -2 9999 492 "text between quote marks" 6804 (10 rows) SELECT '' AS to_char_21, to_char(val, '999999SG9999999999') FROM num_data; to_char_21 | to_char ------------+------------------- | + 0 | + 0 | - 34338492 | + 4 | + 7799461 | + 16397 | + 93902 | - 83028485 | + 74881 | - 24926804 (10 rows) SELECT '' AS to_char_22, to_char(val, 'FM9999999999999999.999999999999999') FROM num_data; to_char_22 | to_char ------------+--------------------- | 0. | 0. | -34338492.215397047 | 4.31 | 7799461.4119 | 16397.038491 | 93901.57763026 | -83028485 | 74881 | -24926804.04504742 (10 rows) -- TO_NUMBER() -- SELECT '' AS to_number_1, to_number('-34,338,492', '99G999G999'); to_number_1 | to_number -------------+----------- | -34338492 (1 row) SELECT '' AS to_number_2, to_number('-34,338,492.654,878', '99G999G999D999G999'); to_number_2 | to_number -------------+------------------ | -34338492.654878 (1 row) SELECT '' AS to_number_3, to_number('<564646.654564>', '999999.999999PR'); to_number_3 | to_number -------------+---------------- | -564646.654564 (1 row) SELECT '' AS to_number_4, to_number('0.00001-', '9.999999S'); to_number_4 | to_number -------------+----------- | -0.00001 (1 row) SELECT '' AS to_number_5, to_number('5.01-', 'FM9.999999S'); to_number_5 | to_number -------------+----------- | -5.01 (1 row) SELECT '' AS to_number_5, to_number('5.01-', 'FM9.999999MI'); to_number_5 | to_number -------------+----------- | -5.01 (1 row) SELECT '' AS to_number_7, to_number('5 4 4 4 4 8 . 7 8', '9 9 9 9 9 9 . 9 9'); to_number_7 | to_number -------------+----------- | 544448.78 (1 row) SELECT '' AS to_number_8, to_number('.01', 'FM9.99'); to_number_8 | to_number -------------+----------- | 0.01 (1 row) SELECT '' AS to_number_9, to_number('.0', '99999999.99999999'); to_number_9 | to_number -------------+----------- | 0.0 (1 row) SELECT '' AS to_number_10, to_number('0', '99.99'); to_number_10 | to_number --------------+----------- | 0 (1 row) SELECT '' AS to_number_11, to_number('.-01', 'S99.99'); to_number_11 | to_number --------------+----------- | -0.01 (1 row) SELECT '' AS to_number_12, to_number('.01-', '99.99S'); to_number_12 | to_number --------------+----------- | -0.01 (1 row) SELECT '' AS to_number_13, to_number(' . 0 1 -', ' 9 9 . 9 9 S'); to_number_13 | to_number --------------+----------- | -0.01 (1 row)