3601 lines
127 KiB
Plaintext
3601 lines
127 KiB
Plaintext
--
|
|
-- 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');
|
|
INSERT INTO num_exp_mul VALUES (4,0,'0');
|
|
INSERT INTO num_exp_div VALUES (4,0,'NaN');
|
|
INSERT INTO num_exp_add VALUES (4,1,'7799461.4119');
|
|
INSERT INTO num_exp_sub VALUES (4,1,'7799461.4119');
|
|
INSERT INTO num_exp_mul VALUES (4,1,'0');
|
|
INSERT INTO num_exp_div VALUES (4,1,'NaN');
|
|
INSERT INTO num_exp_add VALUES (4,2,'-26539030.803497047');
|
|
INSERT INTO num_exp_sub VALUES (4,2,'42137953.627297047');
|
|
INSERT INTO num_exp_mul VALUES (4,2,'-267821744976817.8111137106593');
|
|
INSERT INTO num_exp_div VALUES (4,2,'-.22713465002993920385');
|
|
INSERT INTO num_exp_add VALUES (4,3,'7799465.7219');
|
|
INSERT INTO num_exp_sub VALUES (4,3,'7799457.1019');
|
|
INSERT INTO num_exp_mul VALUES (4,3,'33615678.685289');
|
|
INSERT INTO num_exp_div VALUES (4,3,'1809619.81714617169373549883');
|
|
INSERT INTO num_exp_add VALUES (4,4,'15598922.8238');
|
|
INSERT INTO num_exp_sub VALUES (4,4,'0');
|
|
INSERT INTO num_exp_mul VALUES (4,4,'60831598315717.14146161');
|
|
INSERT INTO num_exp_div VALUES (4,4,'1.00000000000000000000');
|
|
INSERT INTO num_exp_add VALUES (4,5,'7815858.450391');
|
|
INSERT INTO num_exp_sub VALUES (4,5,'7783064.373409');
|
|
INSERT INTO num_exp_mul VALUES (4,5,'127888068979.9935054429');
|
|
INSERT INTO num_exp_div VALUES (4,5,'475.66281046305802686061');
|
|
INSERT INTO num_exp_add VALUES (4,6,'7893362.98953026');
|
|
INSERT INTO num_exp_sub VALUES (4,6,'7705559.83426974');
|
|
INSERT INTO num_exp_mul VALUES (4,6,'732381731243.745115764094');
|
|
INSERT INTO num_exp_div VALUES (4,6,'83.05996138436129499606');
|
|
INSERT INTO num_exp_add VALUES (4,7,'-75229023.5881');
|
|
INSERT INTO num_exp_sub VALUES (4,7,'90827946.4119');
|
|
INSERT INTO num_exp_mul VALUES (4,7,'-647577464846017.9715');
|
|
INSERT INTO num_exp_div VALUES (4,7,'-.09393717604145131637');
|
|
INSERT INTO num_exp_add VALUES (4,8,'7874342.4119');
|
|
INSERT INTO num_exp_sub VALUES (4,8,'7724580.4119');
|
|
INSERT INTO num_exp_mul VALUES (4,8,'584031469984.4839');
|
|
INSERT INTO num_exp_div VALUES (4,8,'104.15808298366741897143');
|
|
INSERT INTO num_exp_add VALUES (4,9,'-17127342.633147420');
|
|
INSERT INTO num_exp_sub VALUES (4,9,'32726265.456947420');
|
|
INSERT INTO num_exp_mul VALUES (4,9,'-194415646271340.1815956522980');
|
|
INSERT INTO num_exp_div VALUES (4,9,'-.31289456112403769409');
|
|
INSERT INTO num_exp_add VALUES (5,0,'16397.038491');
|
|
INSERT INTO num_exp_sub VALUES (5,0,'16397.038491');
|
|
INSERT INTO num_exp_mul VALUES (5,0,'0');
|
|
INSERT INTO num_exp_div VALUES (5,0,'NaN');
|
|
INSERT INTO num_exp_add VALUES (5,1,'16397.038491');
|
|
INSERT INTO num_exp_sub VALUES (5,1,'16397.038491');
|
|
INSERT INTO num_exp_mul VALUES (5,1,'0');
|
|
INSERT INTO num_exp_div VALUES (5,1,'NaN');
|
|
INSERT INTO num_exp_add VALUES (5,2,'-34322095.176906047');
|
|
INSERT INTO num_exp_sub VALUES (5,2,'34354889.253888047');
|
|
INSERT INTO num_exp_mul VALUES (5,2,'-563049578578.769242506736077');
|
|
INSERT INTO num_exp_div VALUES (5,2,'-.00047751189505192446');
|
|
INSERT INTO num_exp_add VALUES (5,3,'16401.348491');
|
|
INSERT INTO num_exp_sub VALUES (5,3,'16392.728491');
|
|
INSERT INTO num_exp_mul VALUES (5,3,'70671.23589621');
|
|
INSERT INTO num_exp_div VALUES (5,3,'3804.41728329466357308584');
|
|
INSERT INTO num_exp_add VALUES (5,4,'7815858.450391');
|
|
INSERT INTO num_exp_sub VALUES (5,4,'-7783064.373409');
|
|
INSERT INTO num_exp_mul VALUES (5,4,'127888068979.9935054429');
|
|
INSERT INTO num_exp_div VALUES (5,4,'.00210232958726897192');
|
|
INSERT INTO num_exp_add VALUES (5,5,'32794.076982');
|
|
INSERT INTO num_exp_sub VALUES (5,5,'0');
|
|
INSERT INTO num_exp_mul VALUES (5,5,'268862871.275335557081');
|
|
INSERT INTO num_exp_div VALUES (5,5,'1.00000000000000000000');
|
|
INSERT INTO num_exp_add VALUES (5,6,'110298.61612126');
|
|
INSERT INTO num_exp_sub VALUES (5,6,'-77504.53913926');
|
|
INSERT INTO num_exp_mul VALUES (5,6,'1539707782.76899778633766');
|
|
INSERT INTO num_exp_div VALUES (5,6,'.17461941433576102689');
|
|
INSERT INTO num_exp_add VALUES (5,7,'-83012087.961509');
|
|
INSERT INTO num_exp_sub VALUES (5,7,'83044882.038491');
|
|
INSERT INTO num_exp_mul VALUES (5,7,'-1361421264394.416135');
|
|
INSERT INTO num_exp_div VALUES (5,7,'-.00019748690453643710');
|
|
INSERT INTO num_exp_add VALUES (5,8,'91278.038491');
|
|
INSERT INTO num_exp_sub VALUES (5,8,'-58483.961509');
|
|
INSERT INTO num_exp_mul VALUES (5,8,'1227826639.244571');
|
|
INSERT INTO num_exp_div VALUES (5,8,'.21897461960978085228');
|
|
INSERT INTO num_exp_add VALUES (5,9,'-24910407.006556420');
|
|
INSERT INTO num_exp_sub VALUES (5,9,'24943201.083538420');
|
|
INSERT INTO num_exp_mul VALUES (5,9,'-408725765384.257043660243220');
|
|
INSERT INTO num_exp_div VALUES (5,9,'-.00065780749354660427');
|
|
INSERT INTO num_exp_add VALUES (6,0,'93901.57763026');
|
|
INSERT INTO num_exp_sub VALUES (6,0,'93901.57763026');
|
|
INSERT INTO num_exp_mul VALUES (6,0,'0');
|
|
INSERT INTO num_exp_div VALUES (6,0,'NaN');
|
|
INSERT INTO num_exp_add VALUES (6,1,'93901.57763026');
|
|
INSERT INTO num_exp_sub VALUES (6,1,'93901.57763026');
|
|
INSERT INTO num_exp_mul VALUES (6,1,'0');
|
|
INSERT INTO num_exp_div VALUES (6,1,'NaN');
|
|
INSERT INTO num_exp_add VALUES (6,2,'-34244590.637766787');
|
|
INSERT INTO num_exp_sub VALUES (6,2,'34432393.793027307');
|
|
INSERT INTO num_exp_mul VALUES (6,2,'-3224438592470.18449811926184222');
|
|
INSERT INTO num_exp_div VALUES (6,2,'-.00273458651128995823');
|
|
INSERT INTO num_exp_add VALUES (6,3,'93905.88763026');
|
|
INSERT INTO num_exp_sub VALUES (6,3,'93897.26763026');
|
|
INSERT INTO num_exp_mul VALUES (6,3,'404715.7995864206');
|
|
INSERT INTO num_exp_div VALUES (6,3,'21786.90896293735498839907');
|
|
INSERT INTO num_exp_add VALUES (6,4,'7893362.98953026');
|
|
INSERT INTO num_exp_sub VALUES (6,4,'-7705559.83426974');
|
|
INSERT INTO num_exp_mul VALUES (6,4,'732381731243.745115764094');
|
|
INSERT INTO num_exp_div VALUES (6,4,'.01203949512295682469');
|
|
INSERT INTO num_exp_add VALUES (6,5,'110298.61612126');
|
|
INSERT INTO num_exp_sub VALUES (6,5,'77504.53913926');
|
|
INSERT INTO num_exp_mul VALUES (6,5,'1539707782.76899778633766');
|
|
INSERT INTO num_exp_div VALUES (6,5,'5.72674008674192359679');
|
|
INSERT INTO num_exp_add VALUES (6,6,'187803.15526052');
|
|
INSERT INTO num_exp_sub VALUES (6,6,'0');
|
|
INSERT INTO num_exp_mul VALUES (6,6,'8817506281.4517452372676676');
|
|
INSERT INTO num_exp_div VALUES (6,6,'1.00000000000000000000');
|
|
INSERT INTO num_exp_add VALUES (6,7,'-82934583.42236974');
|
|
INSERT INTO num_exp_sub VALUES (6,7,'83122386.57763026');
|
|
INSERT INTO num_exp_mul VALUES (6,7,'-7796505729750.37795610');
|
|
INSERT INTO num_exp_div VALUES (6,7,'-.00113095617281538980');
|
|
INSERT INTO num_exp_add VALUES (6,8,'168782.57763026');
|
|
INSERT INTO num_exp_sub VALUES (6,8,'19020.57763026');
|
|
INSERT INTO num_exp_mul VALUES (6,8,'7031444034.53149906');
|
|
INSERT INTO num_exp_div VALUES (6,8,'1.25401073209839612184');
|
|
INSERT INTO num_exp_add VALUES (6,9,'-24832902.467417160');
|
|
INSERT INTO num_exp_sub VALUES (6,9,'25020705.622677680');
|
|
INSERT INTO num_exp_mul VALUES (6,9,'-2340666225110.29929521292692920');
|
|
INSERT INTO num_exp_div VALUES (6,9,'-.00376709254265256789');
|
|
INSERT INTO num_exp_add VALUES (7,0,'-83028485');
|
|
INSERT INTO num_exp_sub VALUES (7,0,'-83028485');
|
|
INSERT INTO num_exp_mul VALUES (7,0,'0');
|
|
INSERT INTO num_exp_div VALUES (7,0,'NaN');
|
|
INSERT INTO num_exp_add VALUES (7,1,'-83028485');
|
|
INSERT INTO num_exp_sub VALUES (7,1,'-83028485');
|
|
INSERT INTO num_exp_mul VALUES (7,1,'0');
|
|
INSERT INTO num_exp_div VALUES (7,1,'NaN');
|
|
INSERT INTO num_exp_add VALUES (7,2,'-117366977.215397047');
|
|
INSERT INTO num_exp_sub VALUES (7,2,'-48689992.784602953');
|
|
INSERT INTO num_exp_mul VALUES (7,2,'2851072985828710.485883795');
|
|
INSERT INTO num_exp_div VALUES (7,2,'2.41794207151503385700');
|
|
INSERT INTO num_exp_add VALUES (7,3,'-83028480.69');
|
|
INSERT INTO num_exp_sub VALUES (7,3,'-83028489.31');
|
|
INSERT INTO num_exp_mul VALUES (7,3,'-357852770.35');
|
|
INSERT INTO num_exp_div VALUES (7,3,'-19264149.65197215777262180974');
|
|
INSERT INTO num_exp_add VALUES (7,4,'-75229023.5881');
|
|
INSERT INTO num_exp_sub VALUES (7,4,'-90827946.4119');
|
|
INSERT INTO num_exp_mul VALUES (7,4,'-647577464846017.9715');
|
|
INSERT INTO num_exp_div VALUES (7,4,'-10.64541262725136247686');
|
|
INSERT INTO num_exp_add VALUES (7,5,'-83012087.961509');
|
|
INSERT INTO num_exp_sub VALUES (7,5,'-83044882.038491');
|
|
INSERT INTO num_exp_mul VALUES (7,5,'-1361421264394.416135');
|
|
INSERT INTO num_exp_div VALUES (7,5,'-5063.62688881730941836574');
|
|
INSERT INTO num_exp_add VALUES (7,6,'-82934583.42236974');
|
|
INSERT INTO num_exp_sub VALUES (7,6,'-83122386.57763026');
|
|
INSERT INTO num_exp_mul VALUES (7,6,'-7796505729750.37795610');
|
|
INSERT INTO num_exp_div VALUES (7,6,'-884.20756174009028770294');
|
|
INSERT INTO num_exp_add VALUES (7,7,'-166056970');
|
|
INSERT INTO num_exp_sub VALUES (7,7,'0');
|
|
INSERT INTO num_exp_mul VALUES (7,7,'6893729321395225');
|
|
INSERT INTO num_exp_div VALUES (7,7,'1.00000000000000000000');
|
|
INSERT INTO num_exp_add VALUES (7,8,'-82953604');
|
|
INSERT INTO num_exp_sub VALUES (7,8,'-83103366');
|
|
INSERT INTO num_exp_mul VALUES (7,8,'-6217255985285');
|
|
INSERT INTO num_exp_div VALUES (7,8,'-1108.80577182462841041118');
|
|
INSERT INTO num_exp_add VALUES (7,9,'-107955289.045047420');
|
|
INSERT INTO num_exp_sub VALUES (7,9,'-58101680.954952580');
|
|
INSERT INTO num_exp_mul VALUES (7,9,'2069634775752159.035758700');
|
|
INSERT INTO num_exp_div VALUES (7,9,'3.33089171198810413382');
|
|
INSERT INTO num_exp_add VALUES (8,0,'74881');
|
|
INSERT INTO num_exp_sub VALUES (8,0,'74881');
|
|
INSERT INTO num_exp_mul VALUES (8,0,'0');
|
|
INSERT INTO num_exp_div VALUES (8,0,'NaN');
|
|
INSERT INTO num_exp_add VALUES (8,1,'74881');
|
|
INSERT INTO num_exp_sub VALUES (8,1,'74881');
|
|
INSERT INTO num_exp_mul VALUES (8,1,'0');
|
|
INSERT INTO num_exp_div VALUES (8,1,'NaN');
|
|
INSERT INTO num_exp_add VALUES (8,2,'-34263611.215397047');
|
|
INSERT INTO num_exp_sub VALUES (8,2,'34413373.215397047');
|
|
INSERT INTO num_exp_mul VALUES (8,2,'-2571300635581.146276407');
|
|
INSERT INTO num_exp_div VALUES (8,2,'-.00218067233500788615');
|
|
INSERT INTO num_exp_add VALUES (8,3,'74885.31');
|
|
INSERT INTO num_exp_sub VALUES (8,3,'74876.69');
|
|
INSERT INTO num_exp_mul VALUES (8,3,'322737.11');
|
|
INSERT INTO num_exp_div VALUES (8,3,'17373.78190255220417633410');
|
|
INSERT INTO num_exp_add VALUES (8,4,'7874342.4119');
|
|
INSERT INTO num_exp_sub VALUES (8,4,'-7724580.4119');
|
|
INSERT INTO num_exp_mul VALUES (8,4,'584031469984.4839');
|
|
INSERT INTO num_exp_div VALUES (8,4,'.00960079113741758956');
|
|
INSERT INTO num_exp_add VALUES (8,5,'91278.038491');
|
|
INSERT INTO num_exp_sub VALUES (8,5,'58483.961509');
|
|
INSERT INTO num_exp_mul VALUES (8,5,'1227826639.244571');
|
|
INSERT INTO num_exp_div VALUES (8,5,'4.56673929509287019456');
|
|
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);
|
|
CREATE UNIQUE INDEX num_exp_sub_idx ON num_exp_sub (id1, id2);
|
|
CREATE UNIQUE INDEX num_exp_div_idx ON num_exp_div (id1, id2);
|
|
CREATE UNIQUE INDEX num_exp_mul_idx ON num_exp_mul (id1, id2);
|
|
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)
|
|
|
|
-- ******************************
|
|
-- * POWER(10, LN(value)) check
|
|
-- ******************************
|
|
DELETE FROM num_result;
|
|
INSERT INTO num_result SELECT id, 0, POWER(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)
|
|
|
|
-- ******************************
|
|
-- * Check behavior with Inf and NaN inputs. It's easiest to handle these
|
|
-- * separately from the num_data framework used above, because some input
|
|
-- * combinations will throw errors.
|
|
-- ******************************
|
|
WITH v(x) AS
|
|
(VALUES('0'::numeric),('1'),('-1'),('4.2'),('inf'),('-inf'),('nan'))
|
|
SELECT x1, x2,
|
|
x1 + x2 AS sum,
|
|
x1 - x2 AS diff,
|
|
x1 * x2 AS prod
|
|
FROM v AS v1(x1), v AS v2(x2);
|
|
x1 | x2 | sum | diff | prod
|
|
-----------+-----------+-----------+-----------+-----------
|
|
0 | 0 | 0 | 0 | 0
|
|
0 | 1 | 1 | -1 | 0
|
|
0 | -1 | -1 | 1 | 0
|
|
0 | 4.2 | 4.2 | -4.2 | 0.0
|
|
0 | Infinity | Infinity | -Infinity | NaN
|
|
0 | -Infinity | -Infinity | Infinity | NaN
|
|
0 | NaN | NaN | NaN | NaN
|
|
1 | 0 | 1 | 1 | 0
|
|
1 | 1 | 2 | 0 | 1
|
|
1 | -1 | 0 | 2 | -1
|
|
1 | 4.2 | 5.2 | -3.2 | 4.2
|
|
1 | Infinity | Infinity | -Infinity | Infinity
|
|
1 | -Infinity | -Infinity | Infinity | -Infinity
|
|
1 | NaN | NaN | NaN | NaN
|
|
-1 | 0 | -1 | -1 | 0
|
|
-1 | 1 | 0 | -2 | -1
|
|
-1 | -1 | -2 | 0 | 1
|
|
-1 | 4.2 | 3.2 | -5.2 | -4.2
|
|
-1 | Infinity | Infinity | -Infinity | -Infinity
|
|
-1 | -Infinity | -Infinity | Infinity | Infinity
|
|
-1 | NaN | NaN | NaN | NaN
|
|
4.2 | 0 | 4.2 | 4.2 | 0.0
|
|
4.2 | 1 | 5.2 | 3.2 | 4.2
|
|
4.2 | -1 | 3.2 | 5.2 | -4.2
|
|
4.2 | 4.2 | 8.4 | 0.0 | 17.64
|
|
4.2 | Infinity | Infinity | -Infinity | Infinity
|
|
4.2 | -Infinity | -Infinity | Infinity | -Infinity
|
|
4.2 | NaN | NaN | NaN | NaN
|
|
Infinity | 0 | Infinity | Infinity | NaN
|
|
Infinity | 1 | Infinity | Infinity | Infinity
|
|
Infinity | -1 | Infinity | Infinity | -Infinity
|
|
Infinity | 4.2 | Infinity | Infinity | Infinity
|
|
Infinity | Infinity | Infinity | NaN | Infinity
|
|
Infinity | -Infinity | NaN | Infinity | -Infinity
|
|
Infinity | NaN | NaN | NaN | NaN
|
|
-Infinity | 0 | -Infinity | -Infinity | NaN
|
|
-Infinity | 1 | -Infinity | -Infinity | -Infinity
|
|
-Infinity | -1 | -Infinity | -Infinity | Infinity
|
|
-Infinity | 4.2 | -Infinity | -Infinity | -Infinity
|
|
-Infinity | Infinity | NaN | -Infinity | -Infinity
|
|
-Infinity | -Infinity | -Infinity | NaN | Infinity
|
|
-Infinity | NaN | NaN | NaN | NaN
|
|
NaN | 0 | NaN | NaN | NaN
|
|
NaN | 1 | NaN | NaN | NaN
|
|
NaN | -1 | NaN | NaN | NaN
|
|
NaN | 4.2 | NaN | NaN | NaN
|
|
NaN | Infinity | NaN | NaN | NaN
|
|
NaN | -Infinity | NaN | NaN | NaN
|
|
NaN | NaN | NaN | NaN | NaN
|
|
(49 rows)
|
|
|
|
WITH v(x) AS
|
|
(VALUES('0'::numeric),('1'),('-1'),('4.2'),('inf'),('-inf'),('nan'))
|
|
SELECT x1, x2,
|
|
x1 / x2 AS quot,
|
|
x1 % x2 AS mod,
|
|
div(x1, x2) AS div
|
|
FROM v AS v1(x1), v AS v2(x2) WHERE x2 != 0;
|
|
x1 | x2 | quot | mod | div
|
|
-----------+-----------+-------------------------+------+-----------
|
|
0 | 1 | 0.00000000000000000000 | 0 | 0
|
|
1 | 1 | 1.00000000000000000000 | 0 | 1
|
|
-1 | 1 | -1.00000000000000000000 | 0 | -1
|
|
4.2 | 1 | 4.2000000000000000 | 0.2 | 4
|
|
Infinity | 1 | Infinity | NaN | Infinity
|
|
-Infinity | 1 | -Infinity | NaN | -Infinity
|
|
NaN | 1 | NaN | NaN | NaN
|
|
0 | -1 | 0.00000000000000000000 | 0 | 0
|
|
1 | -1 | -1.00000000000000000000 | 0 | -1
|
|
-1 | -1 | 1.00000000000000000000 | 0 | 1
|
|
4.2 | -1 | -4.2000000000000000 | 0.2 | -4
|
|
Infinity | -1 | -Infinity | NaN | -Infinity
|
|
-Infinity | -1 | Infinity | NaN | Infinity
|
|
NaN | -1 | NaN | NaN | NaN
|
|
0 | 4.2 | 0.00000000000000000000 | 0.0 | 0
|
|
1 | 4.2 | 0.23809523809523809524 | 1.0 | 0
|
|
-1 | 4.2 | -0.23809523809523809524 | -1.0 | 0
|
|
4.2 | 4.2 | 1.00000000000000000000 | 0.0 | 1
|
|
Infinity | 4.2 | Infinity | NaN | Infinity
|
|
-Infinity | 4.2 | -Infinity | NaN | -Infinity
|
|
NaN | 4.2 | NaN | NaN | NaN
|
|
0 | Infinity | 0 | 0 | 0
|
|
1 | Infinity | 0 | 1 | 0
|
|
-1 | Infinity | 0 | -1 | 0
|
|
4.2 | Infinity | 0 | 4.2 | 0
|
|
Infinity | Infinity | NaN | NaN | NaN
|
|
-Infinity | Infinity | NaN | NaN | NaN
|
|
NaN | Infinity | NaN | NaN | NaN
|
|
0 | -Infinity | 0 | 0 | 0
|
|
1 | -Infinity | 0 | 1 | 0
|
|
-1 | -Infinity | 0 | -1 | 0
|
|
4.2 | -Infinity | 0 | 4.2 | 0
|
|
Infinity | -Infinity | NaN | NaN | NaN
|
|
-Infinity | -Infinity | NaN | NaN | NaN
|
|
NaN | -Infinity | NaN | NaN | NaN
|
|
0 | NaN | NaN | NaN | NaN
|
|
1 | NaN | NaN | NaN | NaN
|
|
-1 | NaN | NaN | NaN | NaN
|
|
4.2 | NaN | NaN | NaN | NaN
|
|
Infinity | NaN | NaN | NaN | NaN
|
|
-Infinity | NaN | NaN | NaN | NaN
|
|
NaN | NaN | NaN | NaN | NaN
|
|
(42 rows)
|
|
|
|
SELECT 'inf'::numeric / '0';
|
|
ERROR: division by zero
|
|
SELECT '-inf'::numeric / '0';
|
|
ERROR: division by zero
|
|
SELECT 'nan'::numeric / '0';
|
|
?column?
|
|
----------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT '0'::numeric / '0';
|
|
ERROR: division by zero
|
|
SELECT 'inf'::numeric % '0';
|
|
ERROR: division by zero
|
|
SELECT '-inf'::numeric % '0';
|
|
ERROR: division by zero
|
|
SELECT 'nan'::numeric % '0';
|
|
?column?
|
|
----------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT '0'::numeric % '0';
|
|
ERROR: division by zero
|
|
SELECT div('inf'::numeric, '0');
|
|
ERROR: division by zero
|
|
SELECT div('-inf'::numeric, '0');
|
|
ERROR: division by zero
|
|
SELECT div('nan'::numeric, '0');
|
|
div
|
|
-----
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT div('0'::numeric, '0');
|
|
ERROR: division by zero
|
|
WITH v(x) AS
|
|
(VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),('inf'),('-inf'),('nan'))
|
|
SELECT x, -x as minusx, abs(x), floor(x), ceil(x), sign(x), numeric_inc(x) as inc
|
|
FROM v;
|
|
x | minusx | abs | floor | ceil | sign | inc
|
|
-----------+-----------+----------+-----------+-----------+------+-----------
|
|
0 | 0 | 0 | 0 | 0 | 0 | 1
|
|
1 | -1 | 1 | 1 | 1 | 1 | 2
|
|
-1 | 1 | 1 | -1 | -1 | -1 | 0
|
|
4.2 | -4.2 | 4.2 | 4 | 5 | 1 | 5.2
|
|
-7.777 | 7.777 | 7.777 | -8 | -7 | -1 | -6.777
|
|
Infinity | -Infinity | Infinity | Infinity | Infinity | 1 | Infinity
|
|
-Infinity | Infinity | Infinity | -Infinity | -Infinity | -1 | -Infinity
|
|
NaN | NaN | NaN | NaN | NaN | NaN | NaN
|
|
(8 rows)
|
|
|
|
WITH v(x) AS
|
|
(VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),('inf'),('-inf'),('nan'))
|
|
SELECT x, round(x), round(x,1) as round1, trunc(x), trunc(x,1) as trunc1
|
|
FROM v;
|
|
x | round | round1 | trunc | trunc1
|
|
-----------+-----------+-----------+-----------+-----------
|
|
0 | 0 | 0.0 | 0 | 0.0
|
|
1 | 1 | 1.0 | 1 | 1.0
|
|
-1 | -1 | -1.0 | -1 | -1.0
|
|
4.2 | 4 | 4.2 | 4 | 4.2
|
|
-7.777 | -8 | -7.8 | -7 | -7.7
|
|
Infinity | Infinity | Infinity | Infinity | Infinity
|
|
-Infinity | -Infinity | -Infinity | -Infinity | -Infinity
|
|
NaN | NaN | NaN | NaN | NaN
|
|
(8 rows)
|
|
|
|
-- the large values fall into the numeric abbreviation code's maximal classes
|
|
WITH v(x) AS
|
|
(VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),('1e340'),('-1e340'),
|
|
('inf'),('-inf'),('nan'),
|
|
('inf'),('-inf'),('nan'))
|
|
SELECT substring(x::text, 1, 32)
|
|
FROM v ORDER BY x;
|
|
substring
|
|
----------------------------------
|
|
-Infinity
|
|
-Infinity
|
|
-1000000000000000000000000000000
|
|
-7.777
|
|
-1
|
|
0
|
|
1
|
|
4.2
|
|
10000000000000000000000000000000
|
|
Infinity
|
|
Infinity
|
|
NaN
|
|
NaN
|
|
(13 rows)
|
|
|
|
WITH v(x) AS
|
|
(VALUES('0'::numeric),('1'),('4.2'),('inf'),('nan'))
|
|
SELECT x, sqrt(x)
|
|
FROM v;
|
|
x | sqrt
|
|
----------+-------------------
|
|
0 | 0.000000000000000
|
|
1 | 1.000000000000000
|
|
4.2 | 2.049390153191920
|
|
Infinity | Infinity
|
|
NaN | NaN
|
|
(5 rows)
|
|
|
|
SELECT sqrt('-1'::numeric);
|
|
ERROR: cannot take square root of a negative number
|
|
SELECT sqrt('-inf'::numeric);
|
|
ERROR: cannot take square root of a negative number
|
|
WITH v(x) AS
|
|
(VALUES('1'::numeric),('4.2'),('inf'),('nan'))
|
|
SELECT x,
|
|
log(x),
|
|
log10(x),
|
|
ln(x)
|
|
FROM v;
|
|
x | log | log10 | ln
|
|
----------+--------------------+--------------------+--------------------
|
|
1 | 0.0000000000000000 | 0.0000000000000000 | 0.0000000000000000
|
|
4.2 | 0.6232492903979005 | 0.6232492903979005 | 1.4350845252893226
|
|
Infinity | Infinity | Infinity | Infinity
|
|
NaN | NaN | NaN | NaN
|
|
(4 rows)
|
|
|
|
SELECT ln('0'::numeric);
|
|
ERROR: cannot take logarithm of zero
|
|
SELECT ln('-1'::numeric);
|
|
ERROR: cannot take logarithm of a negative number
|
|
SELECT ln('-inf'::numeric);
|
|
ERROR: cannot take logarithm of a negative number
|
|
WITH v(x) AS
|
|
(VALUES('2'::numeric),('4.2'),('inf'),('nan'))
|
|
SELECT x1, x2,
|
|
log(x1, x2)
|
|
FROM v AS v1(x1), v AS v2(x2);
|
|
x1 | x2 | log
|
|
----------+----------+--------------------
|
|
2 | 2 | 1.0000000000000000
|
|
2 | 4.2 | 2.0703893278913979
|
|
2 | Infinity | Infinity
|
|
2 | NaN | NaN
|
|
4.2 | 2 | 0.4830009440873890
|
|
4.2 | 4.2 | 1.0000000000000000
|
|
4.2 | Infinity | Infinity
|
|
4.2 | NaN | NaN
|
|
Infinity | 2 | 0
|
|
Infinity | 4.2 | 0
|
|
Infinity | Infinity | NaN
|
|
Infinity | NaN | NaN
|
|
NaN | 2 | NaN
|
|
NaN | 4.2 | NaN
|
|
NaN | Infinity | NaN
|
|
NaN | NaN | NaN
|
|
(16 rows)
|
|
|
|
SELECT log('0'::numeric, '10');
|
|
ERROR: cannot take logarithm of zero
|
|
SELECT log('10'::numeric, '0');
|
|
ERROR: cannot take logarithm of zero
|
|
SELECT log('-inf'::numeric, '10');
|
|
ERROR: cannot take logarithm of a negative number
|
|
SELECT log('10'::numeric, '-inf');
|
|
ERROR: cannot take logarithm of a negative number
|
|
SELECT log('inf'::numeric, '0');
|
|
ERROR: cannot take logarithm of zero
|
|
SELECT log('inf'::numeric, '-inf');
|
|
ERROR: cannot take logarithm of a negative number
|
|
SELECT log('-inf'::numeric, 'inf');
|
|
ERROR: cannot take logarithm of a negative number
|
|
WITH v(x) AS
|
|
(VALUES('0'::numeric),('1'),('2'),('4.2'),('inf'),('nan'))
|
|
SELECT x1, x2,
|
|
power(x1, x2)
|
|
FROM v AS v1(x1), v AS v2(x2) WHERE x1 != 0 OR x2 >= 0;
|
|
x1 | x2 | power
|
|
----------+----------+--------------------
|
|
0 | 0 | 1.0000000000000000
|
|
0 | 1 | 0.0000000000000000
|
|
0 | 2 | 0.0000000000000000
|
|
0 | 4.2 | 0.0000000000000000
|
|
0 | Infinity | 0
|
|
0 | NaN | NaN
|
|
1 | 0 | 1.0000000000000000
|
|
1 | 1 | 1.0000000000000000
|
|
1 | 2 | 1.0000000000000000
|
|
1 | 4.2 | 1.0000000000000000
|
|
1 | Infinity | 1
|
|
1 | NaN | 1
|
|
2 | 0 | 1.0000000000000000
|
|
2 | 1 | 2.0000000000000000
|
|
2 | 2 | 4.0000000000000000
|
|
2 | 4.2 | 18.379173679952560
|
|
2 | Infinity | Infinity
|
|
2 | NaN | NaN
|
|
4.2 | 0 | 1.0000000000000000
|
|
4.2 | 1 | 4.2000000000000000
|
|
4.2 | 2 | 17.640000000000000
|
|
4.2 | 4.2 | 414.61691860129675
|
|
4.2 | Infinity | Infinity
|
|
4.2 | NaN | NaN
|
|
Infinity | 0 | 1
|
|
Infinity | 1 | Infinity
|
|
Infinity | 2 | Infinity
|
|
Infinity | 4.2 | Infinity
|
|
Infinity | Infinity | Infinity
|
|
Infinity | NaN | NaN
|
|
NaN | 0 | 1
|
|
NaN | 1 | NaN
|
|
NaN | 2 | NaN
|
|
NaN | 4.2 | NaN
|
|
NaN | Infinity | NaN
|
|
NaN | NaN | NaN
|
|
(36 rows)
|
|
|
|
SELECT power('0'::numeric, '-1');
|
|
ERROR: zero raised to a negative power is undefined
|
|
SELECT power('0'::numeric, '-inf');
|
|
ERROR: zero raised to a negative power is undefined
|
|
SELECT power('-1'::numeric, 'inf');
|
|
power
|
|
-------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT power('-2'::numeric, '3');
|
|
power
|
|
---------------------
|
|
-8.0000000000000000
|
|
(1 row)
|
|
|
|
SELECT power('-2'::numeric, '3.3');
|
|
ERROR: a negative number raised to a non-integer power yields a complex result
|
|
SELECT power('-2'::numeric, '-1');
|
|
power
|
|
---------------------
|
|
-0.5000000000000000
|
|
(1 row)
|
|
|
|
SELECT power('-2'::numeric, '-1.5');
|
|
ERROR: a negative number raised to a non-integer power yields a complex result
|
|
SELECT power('-2'::numeric, 'inf');
|
|
power
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT power('-2'::numeric, '-inf');
|
|
power
|
|
-------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT power('inf'::numeric, '-2');
|
|
power
|
|
-------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT power('inf'::numeric, '-inf');
|
|
power
|
|
-------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT power('-inf'::numeric, '2');
|
|
power
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT power('-inf'::numeric, '3');
|
|
power
|
|
-----------
|
|
-Infinity
|
|
(1 row)
|
|
|
|
SELECT power('-inf'::numeric, '4.5');
|
|
ERROR: a negative number raised to a non-integer power yields a complex result
|
|
SELECT power('-inf'::numeric, '-2');
|
|
power
|
|
-------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT power('-inf'::numeric, '-3');
|
|
power
|
|
-------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT power('-inf'::numeric, '0');
|
|
power
|
|
-------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT power('-inf'::numeric, 'inf');
|
|
power
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT power('-inf'::numeric, '-inf');
|
|
power
|
|
-------
|
|
0
|
|
(1 row)
|
|
|
|
-- ******************************
|
|
-- * 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
|
|
------------------------
|
|
-13430913.592242320700
|
|
(1 row)
|
|
|
|
SELECT MAX(val) FROM num_data;
|
|
max
|
|
--------------------
|
|
7799461.4119000000
|
|
(1 row)
|
|
|
|
SELECT MIN(val) FROM num_data;
|
|
min
|
|
----------------------
|
|
-83028485.0000000000
|
|
(1 row)
|
|
|
|
SELECT STDDEV(val) FROM num_data;
|
|
stddev
|
|
-------------------------------
|
|
27791203.28758835329805617386
|
|
(1 row)
|
|
|
|
SELECT VARIANCE(val) FROM num_data;
|
|
variance
|
|
--------------------------------------
|
|
772350980172061.69659105821915863601
|
|
(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: numeric field overflow
|
|
DETAIL: A field with precision 4, scale 4 must round to an absolute value less than 1.
|
|
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: numeric field overflow
|
|
DETAIL: A field with precision 4, scale 4 must round to an absolute value less than 1.
|
|
INSERT INTO fract_only VALUES (7, '0.00001');
|
|
INSERT INTO fract_only VALUES (8, '0.00017');
|
|
INSERT INTO fract_only VALUES (9, 'NaN');
|
|
INSERT INTO fract_only VALUES (10, 'Inf'); -- should fail
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 4, scale 4 cannot hold an infinite value.
|
|
INSERT INTO fract_only VALUES (11, '-Inf'); -- should fail
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 4, scale 4 cannot hold an infinite value.
|
|
SELECT * FROM fract_only;
|
|
id | val
|
|
----+---------
|
|
1 | 0.0000
|
|
2 | 0.1000
|
|
4 | -0.9999
|
|
5 | 0.9999
|
|
7 | 0.0000
|
|
8 | 0.0002
|
|
9 | NaN
|
|
(7 rows)
|
|
|
|
DROP TABLE fract_only;
|
|
-- Check conversion to integers
|
|
SELECT (-9223372036854775808.5)::int8; -- should fail
|
|
ERROR: bigint out of range
|
|
SELECT (-9223372036854775808.4)::int8; -- ok
|
|
int8
|
|
----------------------
|
|
-9223372036854775808
|
|
(1 row)
|
|
|
|
SELECT 9223372036854775807.4::int8; -- ok
|
|
int8
|
|
---------------------
|
|
9223372036854775807
|
|
(1 row)
|
|
|
|
SELECT 9223372036854775807.5::int8; -- should fail
|
|
ERROR: bigint out of range
|
|
SELECT (-2147483648.5)::int4; -- should fail
|
|
ERROR: integer out of range
|
|
SELECT (-2147483648.4)::int4; -- ok
|
|
int4
|
|
-------------
|
|
-2147483648
|
|
(1 row)
|
|
|
|
SELECT 2147483647.4::int4; -- ok
|
|
int4
|
|
------------
|
|
2147483647
|
|
(1 row)
|
|
|
|
SELECT 2147483647.5::int4; -- should fail
|
|
ERROR: integer out of range
|
|
SELECT (-32768.5)::int2; -- should fail
|
|
ERROR: smallint out of range
|
|
SELECT (-32768.4)::int2; -- ok
|
|
int2
|
|
--------
|
|
-32768
|
|
(1 row)
|
|
|
|
SELECT 32767.4::int2; -- ok
|
|
int2
|
|
-------
|
|
32767
|
|
(1 row)
|
|
|
|
SELECT 32767.5::int2; -- should fail
|
|
ERROR: smallint out of range
|
|
-- Check inf/nan conversion behavior
|
|
SELECT 'NaN'::float8::numeric;
|
|
numeric
|
|
---------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT 'Infinity'::float8::numeric;
|
|
numeric
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT '-Infinity'::float8::numeric;
|
|
numeric
|
|
-----------
|
|
-Infinity
|
|
(1 row)
|
|
|
|
SELECT 'NaN'::numeric::float8;
|
|
float8
|
|
--------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT 'Infinity'::numeric::float8;
|
|
float8
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT '-Infinity'::numeric::float8;
|
|
float8
|
|
-----------
|
|
-Infinity
|
|
(1 row)
|
|
|
|
SELECT 'NaN'::float4::numeric;
|
|
numeric
|
|
---------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT 'Infinity'::float4::numeric;
|
|
numeric
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT '-Infinity'::float4::numeric;
|
|
numeric
|
|
-----------
|
|
-Infinity
|
|
(1 row)
|
|
|
|
SELECT 'NaN'::numeric::float4;
|
|
float4
|
|
--------
|
|
NaN
|
|
(1 row)
|
|
|
|
SELECT 'Infinity'::numeric::float4;
|
|
float4
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
SELECT '-Infinity'::numeric::float4;
|
|
float4
|
|
-----------
|
|
-Infinity
|
|
(1 row)
|
|
|
|
SELECT '42'::int2::numeric;
|
|
numeric
|
|
---------
|
|
42
|
|
(1 row)
|
|
|
|
SELECT 'NaN'::numeric::int2;
|
|
ERROR: cannot convert NaN to smallint
|
|
SELECT 'Infinity'::numeric::int2;
|
|
ERROR: cannot convert infinity to smallint
|
|
SELECT '-Infinity'::numeric::int2;
|
|
ERROR: cannot convert infinity to smallint
|
|
SELECT 'NaN'::numeric::int4;
|
|
ERROR: cannot convert NaN to integer
|
|
SELECT 'Infinity'::numeric::int4;
|
|
ERROR: cannot convert infinity to integer
|
|
SELECT '-Infinity'::numeric::int4;
|
|
ERROR: cannot convert infinity to integer
|
|
SELECT 'NaN'::numeric::int8;
|
|
ERROR: cannot convert NaN to bigint
|
|
SELECT 'Infinity'::numeric::int8;
|
|
ERROR: cannot convert infinity to bigint
|
|
SELECT '-Infinity'::numeric::int8;
|
|
ERROR: cannot convert infinity to bigint
|
|
-- Simple check that ceil(), floor(), and round() work correctly
|
|
CREATE TABLE ceil_floor_round (a numeric);
|
|
INSERT INTO ceil_floor_round VALUES ('-5.5');
|
|
INSERT INTO ceil_floor_round VALUES ('-5.499999');
|
|
INSERT INTO ceil_floor_round VALUES ('9.5');
|
|
INSERT INTO ceil_floor_round VALUES ('9.4999999');
|
|
INSERT INTO ceil_floor_round VALUES ('0.0');
|
|
INSERT INTO ceil_floor_round VALUES ('0.0000001');
|
|
INSERT INTO ceil_floor_round VALUES ('-0.000001');
|
|
SELECT a, ceil(a), ceiling(a), floor(a), round(a) FROM ceil_floor_round;
|
|
a | ceil | ceiling | floor | round
|
|
-----------+------+---------+-------+-------
|
|
-5.5 | -5 | -5 | -6 | -6
|
|
-5.499999 | -5 | -5 | -6 | -5
|
|
9.5 | 10 | 10 | 9 | 10
|
|
9.4999999 | 10 | 10 | 9 | 9
|
|
0.0 | 0 | 0 | 0 | 0
|
|
0.0000001 | 1 | 1 | 0 | 0
|
|
-0.000001 | 0 | 0 | -1 | 0
|
|
(7 rows)
|
|
|
|
DROP TABLE ceil_floor_round;
|
|
-- Check rounding, it should round ties away from zero.
|
|
SELECT i as pow,
|
|
round((-2.5 * 10 ^ i)::numeric, -i),
|
|
round((-1.5 * 10 ^ i)::numeric, -i),
|
|
round((-0.5 * 10 ^ i)::numeric, -i),
|
|
round((0.5 * 10 ^ i)::numeric, -i),
|
|
round((1.5 * 10 ^ i)::numeric, -i),
|
|
round((2.5 * 10 ^ i)::numeric, -i)
|
|
FROM generate_series(-5,5) AS t(i);
|
|
pow | round | round | round | round | round | round
|
|
-----+----------+----------+----------+---------+---------+---------
|
|
-5 | -0.00003 | -0.00002 | -0.00001 | 0.00001 | 0.00002 | 0.00003
|
|
-4 | -0.0003 | -0.0002 | -0.0001 | 0.0001 | 0.0002 | 0.0003
|
|
-3 | -0.003 | -0.002 | -0.001 | 0.001 | 0.002 | 0.003
|
|
-2 | -0.03 | -0.02 | -0.01 | 0.01 | 0.02 | 0.03
|
|
-1 | -0.3 | -0.2 | -0.1 | 0.1 | 0.2 | 0.3
|
|
0 | -3 | -2 | -1 | 1 | 2 | 3
|
|
1 | -30 | -20 | -10 | 10 | 20 | 30
|
|
2 | -300 | -200 | -100 | 100 | 200 | 300
|
|
3 | -3000 | -2000 | -1000 | 1000 | 2000 | 3000
|
|
4 | -30000 | -20000 | -10000 | 10000 | 20000 | 30000
|
|
5 | -300000 | -200000 | -100000 | 100000 | 200000 | 300000
|
|
(11 rows)
|
|
|
|
-- Testing for width_bucket(). For convenience, we test both the
|
|
-- numeric and float8 versions of the function in this file.
|
|
-- errors
|
|
SELECT width_bucket(5.0, 3.0, 4.0, 0);
|
|
ERROR: count must be greater than zero
|
|
SELECT width_bucket(5.0, 3.0, 4.0, -5);
|
|
ERROR: count must be greater than zero
|
|
SELECT width_bucket(3.5, 3.0, 3.0, 888);
|
|
ERROR: lower bound cannot equal upper bound
|
|
SELECT width_bucket(5.0::float8, 3.0::float8, 4.0::float8, 0);
|
|
ERROR: count must be greater than zero
|
|
SELECT width_bucket(5.0::float8, 3.0::float8, 4.0::float8, -5);
|
|
ERROR: count must be greater than zero
|
|
SELECT width_bucket(3.5::float8, 3.0::float8, 3.0::float8, 888);
|
|
ERROR: lower bound cannot equal upper bound
|
|
SELECT width_bucket('NaN', 3.0, 4.0, 888);
|
|
ERROR: operand, lower bound, and upper bound cannot be NaN
|
|
SELECT width_bucket(0::float8, 'NaN', 4.0::float8, 888);
|
|
ERROR: operand, lower bound, and upper bound cannot be NaN
|
|
SELECT width_bucket(2.0, 3.0, '-inf', 888);
|
|
ERROR: lower and upper bounds must be finite
|
|
SELECT width_bucket(0::float8, '-inf', 4.0::float8, 888);
|
|
ERROR: lower and upper bounds must be finite
|
|
-- normal operation
|
|
CREATE TABLE width_bucket_test (operand_num numeric, operand_f8 float8);
|
|
COPY width_bucket_test (operand_num) FROM stdin;
|
|
UPDATE width_bucket_test SET operand_f8 = operand_num::float8;
|
|
SELECT
|
|
operand_num,
|
|
width_bucket(operand_num, 0, 10, 5) AS wb_1,
|
|
width_bucket(operand_f8, 0, 10, 5) AS wb_1f,
|
|
width_bucket(operand_num, 10, 0, 5) AS wb_2,
|
|
width_bucket(operand_f8, 10, 0, 5) AS wb_2f,
|
|
width_bucket(operand_num, 2, 8, 4) AS wb_3,
|
|
width_bucket(operand_f8, 2, 8, 4) AS wb_3f,
|
|
width_bucket(operand_num, 5.0, 5.5, 20) AS wb_4,
|
|
width_bucket(operand_f8, 5.0, 5.5, 20) AS wb_4f,
|
|
width_bucket(operand_num, -25, 25, 10) AS wb_5,
|
|
width_bucket(operand_f8, -25, 25, 10) AS wb_5f
|
|
FROM width_bucket_test;
|
|
operand_num | wb_1 | wb_1f | wb_2 | wb_2f | wb_3 | wb_3f | wb_4 | wb_4f | wb_5 | wb_5f
|
|
------------------+------+-------+------+-------+------+-------+------+-------+------+-------
|
|
-5.2 | 0 | 0 | 6 | 6 | 0 | 0 | 0 | 0 | 4 | 4
|
|
-0.0000000001 | 0 | 0 | 6 | 6 | 0 | 0 | 0 | 0 | 5 | 5
|
|
0.000000000001 | 1 | 1 | 5 | 5 | 0 | 0 | 0 | 0 | 6 | 6
|
|
1 | 1 | 1 | 5 | 5 | 0 | 0 | 0 | 0 | 6 | 6
|
|
1.99999999999999 | 1 | 1 | 5 | 5 | 0 | 0 | 0 | 0 | 6 | 6
|
|
2 | 2 | 2 | 5 | 5 | 1 | 1 | 0 | 0 | 6 | 6
|
|
2.00000000000001 | 2 | 2 | 4 | 4 | 1 | 1 | 0 | 0 | 6 | 6
|
|
3 | 2 | 2 | 4 | 4 | 1 | 1 | 0 | 0 | 6 | 6
|
|
4 | 3 | 3 | 4 | 4 | 2 | 2 | 0 | 0 | 6 | 6
|
|
4.5 | 3 | 3 | 3 | 3 | 2 | 2 | 0 | 0 | 6 | 6
|
|
5 | 3 | 3 | 3 | 3 | 3 | 3 | 1 | 1 | 7 | 7
|
|
5.5 | 3 | 3 | 3 | 3 | 3 | 3 | 21 | 21 | 7 | 7
|
|
6 | 4 | 4 | 3 | 3 | 3 | 3 | 21 | 21 | 7 | 7
|
|
7 | 4 | 4 | 2 | 2 | 4 | 4 | 21 | 21 | 7 | 7
|
|
8 | 5 | 5 | 2 | 2 | 5 | 5 | 21 | 21 | 7 | 7
|
|
9 | 5 | 5 | 1 | 1 | 5 | 5 | 21 | 21 | 7 | 7
|
|
9.99999999999999 | 5 | 5 | 1 | 1 | 5 | 5 | 21 | 21 | 7 | 7
|
|
10 | 6 | 6 | 1 | 1 | 5 | 5 | 21 | 21 | 8 | 8
|
|
10.0000000000001 | 6 | 6 | 0 | 0 | 5 | 5 | 21 | 21 | 8 | 8
|
|
(19 rows)
|
|
|
|
-- Check positive and negative infinity: we require
|
|
-- finite bucket bounds, but allow an infinite operand
|
|
SELECT width_bucket(0.0::numeric, 'Infinity'::numeric, 5, 10); -- error
|
|
ERROR: lower and upper bounds must be finite
|
|
SELECT width_bucket(0.0::numeric, 5, '-Infinity'::numeric, 20); -- error
|
|
ERROR: lower and upper bounds must be finite
|
|
SELECT width_bucket('Infinity'::numeric, 1, 10, 10),
|
|
width_bucket('-Infinity'::numeric, 1, 10, 10);
|
|
width_bucket | width_bucket
|
|
--------------+--------------
|
|
11 | 0
|
|
(1 row)
|
|
|
|
SELECT width_bucket(0.0::float8, 'Infinity'::float8, 5, 10); -- error
|
|
ERROR: lower and upper bounds must be finite
|
|
SELECT width_bucket(0.0::float8, 5, '-Infinity'::float8, 20); -- error
|
|
ERROR: lower and upper bounds must be finite
|
|
SELECT width_bucket('Infinity'::float8, 1, 10, 10),
|
|
width_bucket('-Infinity'::float8, 1, 10, 10);
|
|
width_bucket | width_bucket
|
|
--------------+--------------
|
|
11 | 0
|
|
(1 row)
|
|
|
|
DROP TABLE width_bucket_test;
|
|
-- Simple test for roundoff error when results should be exact
|
|
SELECT x, width_bucket(x::float8, 10, 100, 9) as flt,
|
|
width_bucket(x::numeric, 10, 100, 9) as num
|
|
FROM generate_series(0, 110, 10) x;
|
|
x | flt | num
|
|
-----+-----+-----
|
|
0 | 0 | 0
|
|
10 | 1 | 1
|
|
20 | 2 | 2
|
|
30 | 3 | 3
|
|
40 | 4 | 4
|
|
50 | 5 | 5
|
|
60 | 6 | 6
|
|
70 | 7 | 7
|
|
80 | 8 | 8
|
|
90 | 9 | 9
|
|
100 | 10 | 10
|
|
110 | 10 | 10
|
|
(12 rows)
|
|
|
|
SELECT x, width_bucket(x::float8, 100, 10, 9) as flt,
|
|
width_bucket(x::numeric, 100, 10, 9) as num
|
|
FROM generate_series(0, 110, 10) x;
|
|
x | flt | num
|
|
-----+-----+-----
|
|
0 | 10 | 10
|
|
10 | 10 | 10
|
|
20 | 9 | 9
|
|
30 | 8 | 8
|
|
40 | 7 | 7
|
|
50 | 6 | 6
|
|
60 | 5 | 5
|
|
70 | 4 | 4
|
|
80 | 3 | 3
|
|
90 | 2 | 2
|
|
100 | 1 | 1
|
|
110 | 0 | 0
|
|
(12 rows)
|
|
|
|
-- Another roundoff-error hazard
|
|
SELECT width_bucket(0, -1e100::numeric, 1, 10);
|
|
width_bucket
|
|
--------------
|
|
10
|
|
(1 row)
|
|
|
|
SELECT width_bucket(0, -1e100::float8, 1, 10);
|
|
width_bucket
|
|
--------------
|
|
10
|
|
(1 row)
|
|
|
|
SELECT width_bucket(1, 1e100::numeric, 0, 10);
|
|
width_bucket
|
|
--------------
|
|
10
|
|
(1 row)
|
|
|
|
SELECT width_bucket(1, 1e100::float8, 0, 10);
|
|
width_bucket
|
|
--------------
|
|
10
|
|
(1 row)
|
|
|
|
-- Check cases that could trigger overflow or underflow within the calculation
|
|
SELECT oper, low, high, cnt, width_bucket(oper, low, high, cnt)
|
|
FROM
|
|
(SELECT 1.797e+308::float8 AS big, 5e-324::float8 AS tiny) as v,
|
|
LATERAL (VALUES
|
|
(10.5::float8, -big, big, 1),
|
|
(10.5::float8, -big, big, 2),
|
|
(10.5::float8, -big, big, 3),
|
|
(big / 4, -big / 2, big / 2, 10),
|
|
(10.5::float8, big, -big, 1),
|
|
(10.5::float8, big, -big, 2),
|
|
(10.5::float8, big, -big, 3),
|
|
(big / 4, big / 2, -big / 2, 10),
|
|
(0, 0, tiny, 4),
|
|
(tiny, 0, tiny, 4),
|
|
(0, 0, 1, 2147483647),
|
|
(1, 1, 0, 2147483647)
|
|
) as sample(oper, low, high, cnt);
|
|
oper | low | high | cnt | width_bucket
|
|
-------------+-------------+-------------+------------+--------------
|
|
10.5 | -1.797e+308 | 1.797e+308 | 1 | 1
|
|
10.5 | -1.797e+308 | 1.797e+308 | 2 | 2
|
|
10.5 | -1.797e+308 | 1.797e+308 | 3 | 2
|
|
4.4925e+307 | -8.985e+307 | 8.985e+307 | 10 | 8
|
|
10.5 | 1.797e+308 | -1.797e+308 | 1 | 1
|
|
10.5 | 1.797e+308 | -1.797e+308 | 2 | 2
|
|
10.5 | 1.797e+308 | -1.797e+308 | 3 | 2
|
|
4.4925e+307 | 8.985e+307 | -8.985e+307 | 10 | 3
|
|
0 | 0 | 5e-324 | 4 | 1
|
|
5e-324 | 0 | 5e-324 | 4 | 5
|
|
0 | 0 | 1 | 2147483647 | 1
|
|
1 | 1 | 0 | 2147483647 | 1
|
|
(12 rows)
|
|
|
|
-- These fail because the result would be out of int32 range:
|
|
SELECT width_bucket(1::float8, 0, 1, 2147483647);
|
|
ERROR: integer out of range
|
|
SELECT width_bucket(0::float8, 1, 0, 2147483647);
|
|
ERROR: integer out of range
|
|
--
|
|
-- TO_CHAR()
|
|
--
|
|
SELECT to_char(val, '9G999G999G999G999G999')
|
|
FROM num_data;
|
|
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 to_char(val, '9G999G999G999G999G999D999G999G999G999G999')
|
|
FROM num_data;
|
|
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 to_char(val, '9999999999999999.999999999999999PR')
|
|
FROM num_data;
|
|
to_char
|
|
------------------------------------
|
|
.000000000000000
|
|
.000000000000000
|
|
<34338492.215397047000000>
|
|
4.310000000000000
|
|
7799461.411900000000000
|
|
16397.038491000000000
|
|
93901.577630260000000
|
|
<83028485.000000000000000>
|
|
74881.000000000000000
|
|
<24926804.045047420000000>
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, '9999999999999999.999999999999999S')
|
|
FROM num_data;
|
|
to_char
|
|
-----------------------------------
|
|
.000000000000000+
|
|
.000000000000000+
|
|
34338492.215397047000000-
|
|
4.310000000000000+
|
|
7799461.411900000000000+
|
|
16397.038491000000000+
|
|
93901.577630260000000+
|
|
83028485.000000000000000-
|
|
74881.000000000000000+
|
|
24926804.045047420000000-
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'MI9999999999999999.999999999999999') FROM num_data;
|
|
to_char
|
|
-----------------------------------
|
|
.000000000000000
|
|
.000000000000000
|
|
- 34338492.215397047000000
|
|
4.310000000000000
|
|
7799461.411900000000000
|
|
16397.038491000000000
|
|
93901.577630260000000
|
|
- 83028485.000000000000000
|
|
74881.000000000000000
|
|
- 24926804.045047420000000
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'FMS9999999999999999.999999999999999') FROM num_data;
|
|
to_char
|
|
---------------------
|
|
+0.
|
|
+0.
|
|
-34338492.215397047
|
|
+4.31
|
|
+7799461.4119
|
|
+16397.038491
|
|
+93901.57763026
|
|
-83028485.
|
|
+74881.
|
|
-24926804.04504742
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'FM9999999999999999.999999999999999THPR') FROM num_data;
|
|
to_char
|
|
----------------------
|
|
0.
|
|
0.
|
|
<34338492.215397047>
|
|
4.31
|
|
7799461.4119
|
|
16397.038491
|
|
93901.57763026
|
|
<83028485.>
|
|
74881.
|
|
<24926804.04504742>
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'SG9999999999999999.999999999999999th') FROM num_data;
|
|
to_char
|
|
-----------------------------------
|
|
+ .000000000000000
|
|
+ .000000000000000
|
|
- 34338492.215397047000000
|
|
+ 4.310000000000000
|
|
+ 7799461.411900000000000
|
|
+ 16397.038491000000000
|
|
+ 93901.577630260000000
|
|
- 83028485.000000000000000
|
|
+ 74881.000000000000000
|
|
- 24926804.045047420000000
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, '0999999999999999.999999999999999') FROM num_data;
|
|
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 to_char(val, 'S0999999999999999.999999999999999') FROM num_data;
|
|
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 to_char(val, 'FM0999999999999999.999999999999999') FROM num_data;
|
|
to_char
|
|
-----------------------------
|
|
0000000000000000.
|
|
0000000000000000.
|
|
-0000000034338492.215397047
|
|
0000000000000004.31
|
|
0000000007799461.4119
|
|
0000000000016397.038491
|
|
0000000000093901.57763026
|
|
-0000000083028485.
|
|
0000000000074881.
|
|
-0000000024926804.04504742
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'FM9999999999999999.099999999999999') FROM num_data;
|
|
to_char
|
|
---------------------
|
|
.0
|
|
.0
|
|
-34338492.215397047
|
|
4.31
|
|
7799461.4119
|
|
16397.038491
|
|
93901.57763026
|
|
-83028485.0
|
|
74881.0
|
|
-24926804.04504742
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'FM9999999999990999.990999999999999') FROM num_data;
|
|
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 to_char(val, 'FM0999999999999999.999909999999999') FROM num_data;
|
|
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 to_char(val, 'FM9999999990999999.099999999999999') FROM num_data;
|
|
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 to_char(val, 'L9999999999999999.099999999999999') FROM num_data;
|
|
to_char
|
|
------------------------------------
|
|
.000000000000000
|
|
.000000000000000
|
|
-34338492.215397047000000
|
|
4.310000000000000
|
|
7799461.411900000000000
|
|
16397.038491000000000
|
|
93901.577630260000000
|
|
-83028485.000000000000000
|
|
74881.000000000000000
|
|
-24926804.045047420000000
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'FM9999999999999999.99999999999999') FROM num_data;
|
|
to_char
|
|
---------------------
|
|
0.
|
|
0.
|
|
-34338492.215397047
|
|
4.31
|
|
7799461.4119
|
|
16397.038491
|
|
93901.57763026
|
|
-83028485.
|
|
74881.
|
|
-24926804.04504742
|
|
(10 rows)
|
|
|
|
SELECT 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
|
|
-----------------------------------------------------------------------
|
|
+. 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 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
|
|
-------------------------------------------------------
|
|
+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 to_char(val, E'99999 "text" 9999 "9999" 999 "\\"text between quote marks\\"" 9999') FROM num_data;
|
|
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 to_char(val, '999999SG9999999999') FROM num_data;
|
|
to_char
|
|
-------------------
|
|
+ 0
|
|
+ 0
|
|
- 34338492
|
|
+ 4
|
|
+ 7799461
|
|
+ 16397
|
|
+ 93902
|
|
- 83028485
|
|
+ 74881
|
|
- 24926804
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, 'FM9999999999999999.999999999999999') FROM num_data;
|
|
to_char
|
|
---------------------
|
|
0.
|
|
0.
|
|
-34338492.215397047
|
|
4.31
|
|
7799461.4119
|
|
16397.038491
|
|
93901.57763026
|
|
-83028485.
|
|
74881.
|
|
-24926804.04504742
|
|
(10 rows)
|
|
|
|
SELECT to_char(val, '9.999EEEE') FROM num_data;
|
|
to_char
|
|
------------
|
|
0.000e+00
|
|
0.000e+00
|
|
-3.434e+07
|
|
4.310e+00
|
|
7.799e+06
|
|
1.640e+04
|
|
9.390e+04
|
|
-8.303e+07
|
|
7.488e+04
|
|
-2.493e+07
|
|
(10 rows)
|
|
|
|
WITH v(val) AS
|
|
(VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
|
|
SELECT val,
|
|
to_char(val, '9.999EEEE') as numeric,
|
|
to_char(val::float8, '9.999EEEE') as float8,
|
|
to_char(val::float4, '9.999EEEE') as float4
|
|
FROM v;
|
|
val | numeric | float8 | float4
|
|
------------+------------+------------+------------
|
|
0 | 0.000e+00 | 0.000e+00 | 0.000e+00
|
|
-4.2 | -4.200e+00 | -4.200e+00 | -4.200e+00
|
|
4200000000 | 4.200e+09 | 4.200e+09 | 4.200e+09
|
|
0.000012 | 1.200e-05 | 1.200e-05 | 1.200e-05
|
|
Infinity | #.####### | #.####### | #.#######
|
|
-Infinity | #.####### | #.####### | #.#######
|
|
NaN | #.####### | #.####### | #.#######
|
|
(7 rows)
|
|
|
|
WITH v(exp) AS
|
|
(VALUES(-16379),(-16378),(-1234),(-789),(-45),(-5),(-4),(-3),(-2),(-1),(0),
|
|
(1),(2),(3),(4),(5),(38),(275),(2345),(45678),(131070),(131071))
|
|
SELECT exp,
|
|
to_char(('1.2345e'||exp)::numeric, '9.999EEEE') as numeric
|
|
FROM v;
|
|
exp | numeric
|
|
--------+----------------
|
|
-16379 | 1.235e-16379
|
|
-16378 | 1.235e-16378
|
|
-1234 | 1.235e-1234
|
|
-789 | 1.235e-789
|
|
-45 | 1.235e-45
|
|
-5 | 1.235e-05
|
|
-4 | 1.235e-04
|
|
-3 | 1.235e-03
|
|
-2 | 1.235e-02
|
|
-1 | 1.235e-01
|
|
0 | 1.235e+00
|
|
1 | 1.235e+01
|
|
2 | 1.235e+02
|
|
3 | 1.235e+03
|
|
4 | 1.235e+04
|
|
5 | 1.235e+05
|
|
38 | 1.235e+38
|
|
275 | 1.235e+275
|
|
2345 | 1.235e+2345
|
|
45678 | 1.235e+45678
|
|
131070 | 1.235e+131070
|
|
131071 | 1.235e+131071
|
|
(22 rows)
|
|
|
|
WITH v(val) AS
|
|
(VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
|
|
SELECT val,
|
|
to_char(val, 'MI9999999999.99') as numeric,
|
|
to_char(val::float8, 'MI9999999999.99') as float8,
|
|
to_char(val::float4, 'MI9999999999.99') as float4
|
|
FROM v;
|
|
val | numeric | float8 | float4
|
|
------------+----------------+----------------+----------------
|
|
0 | .00 | .00 | .00
|
|
-4.2 | - 4.20 | - 4.20 | - 4.20
|
|
4200000000 | 4200000000.00 | 4200000000.00 | 4200000000
|
|
0.000012 | .00 | .00 | .00
|
|
Infinity | Infinity | Infinity | Infinity
|
|
-Infinity | - Infinity | - Infinity | - Infinity
|
|
NaN | NaN | NaN | NaN
|
|
(7 rows)
|
|
|
|
WITH v(val) AS
|
|
(VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
|
|
SELECT val,
|
|
to_char(val, 'MI99.99') as numeric,
|
|
to_char(val::float8, 'MI99.99') as float8,
|
|
to_char(val::float4, 'MI99.99') as float4
|
|
FROM v;
|
|
val | numeric | float8 | float4
|
|
------------+---------+--------+--------
|
|
0 | .00 | .00 | .00
|
|
-4.2 | - 4.20 | - 4.20 | - 4.20
|
|
4200000000 | ##.## | ##.## | ##.
|
|
0.000012 | .00 | .00 | .00
|
|
Infinity | ##.## | ##.## | ##.
|
|
-Infinity | -##.## | -##.## | -##.
|
|
NaN | ##.## | ##.## | ##.##
|
|
(7 rows)
|
|
|
|
SELECT to_char('100'::numeric, 'FM999.9');
|
|
to_char
|
|
---------
|
|
100.
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'FM999.');
|
|
to_char
|
|
---------
|
|
100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'FM999');
|
|
to_char
|
|
---------
|
|
100
|
|
(1 row)
|
|
|
|
SELECT to_char('12345678901'::float8, 'FM9999999999D9999900000000000000000');
|
|
to_char
|
|
-----------------
|
|
##########.####
|
|
(1 row)
|
|
|
|
-- Check parsing of literal text in a format string
|
|
SELECT to_char('100'::numeric, 'foo999');
|
|
to_char
|
|
---------
|
|
foo 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f\oo999');
|
|
to_char
|
|
----------
|
|
f\oo 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f\\oo999');
|
|
to_char
|
|
-----------
|
|
f\\oo 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f\"oo999');
|
|
to_char
|
|
----------
|
|
f"oo 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f\\"oo999');
|
|
to_char
|
|
-----------
|
|
f\"oo 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f"ool"999');
|
|
to_char
|
|
----------
|
|
fool 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f"\ool"999');
|
|
to_char
|
|
----------
|
|
fool 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f"\\ool"999');
|
|
to_char
|
|
-----------
|
|
f\ool 100
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f"ool\"999');
|
|
to_char
|
|
----------
|
|
fool"999
|
|
(1 row)
|
|
|
|
SELECT to_char('100'::numeric, 'f"ool\\"999');
|
|
to_char
|
|
-----------
|
|
fool\ 100
|
|
(1 row)
|
|
|
|
-- TO_NUMBER()
|
|
--
|
|
SET lc_numeric = 'C';
|
|
SELECT to_number('-34,338,492', '99G999G999');
|
|
to_number
|
|
-----------
|
|
-34338492
|
|
(1 row)
|
|
|
|
SELECT to_number('-34,338,492.654,878', '99G999G999D999G999');
|
|
to_number
|
|
------------------
|
|
-34338492.654878
|
|
(1 row)
|
|
|
|
SELECT to_number('<564646.654564>', '999999.999999PR');
|
|
to_number
|
|
----------------
|
|
-564646.654564
|
|
(1 row)
|
|
|
|
SELECT to_number('0.00001-', '9.999999S');
|
|
to_number
|
|
-----------
|
|
-0.00001
|
|
(1 row)
|
|
|
|
SELECT to_number('5.01-', 'FM9.999999S');
|
|
to_number
|
|
-----------
|
|
-5.01
|
|
(1 row)
|
|
|
|
SELECT to_number('5.01-', 'FM9.999999MI');
|
|
to_number
|
|
-----------
|
|
-5.01
|
|
(1 row)
|
|
|
|
SELECT to_number('5 4 4 4 4 8 . 7 8', '9 9 9 9 9 9 . 9 9');
|
|
to_number
|
|
-----------
|
|
544448.78
|
|
(1 row)
|
|
|
|
SELECT to_number('.01', 'FM9.99');
|
|
to_number
|
|
-----------
|
|
0.01
|
|
(1 row)
|
|
|
|
SELECT to_number('.0', '99999999.99999999');
|
|
to_number
|
|
-----------
|
|
0.0
|
|
(1 row)
|
|
|
|
SELECT to_number('0', '99.99');
|
|
to_number
|
|
-----------
|
|
0
|
|
(1 row)
|
|
|
|
SELECT to_number('.-01', 'S99.99');
|
|
to_number
|
|
-----------
|
|
-0.01
|
|
(1 row)
|
|
|
|
SELECT to_number('.01-', '99.99S');
|
|
to_number
|
|
-----------
|
|
-0.01
|
|
(1 row)
|
|
|
|
SELECT to_number(' . 0 1-', ' 9 9 . 9 9 S');
|
|
to_number
|
|
-----------
|
|
-0.01
|
|
(1 row)
|
|
|
|
SELECT to_number('34,50','999,99');
|
|
to_number
|
|
-----------
|
|
3450
|
|
(1 row)
|
|
|
|
SELECT to_number('123,000','999G');
|
|
to_number
|
|
-----------
|
|
123
|
|
(1 row)
|
|
|
|
SELECT to_number('123456','999G999');
|
|
to_number
|
|
-----------
|
|
123456
|
|
(1 row)
|
|
|
|
SELECT to_number('$1234.56','L9,999.99');
|
|
to_number
|
|
-----------
|
|
1234.56
|
|
(1 row)
|
|
|
|
SELECT to_number('$1234.56','L99,999.99');
|
|
to_number
|
|
-----------
|
|
1234.56
|
|
(1 row)
|
|
|
|
SELECT to_number('$1,234.56','L99,999.99');
|
|
to_number
|
|
-----------
|
|
1234.56
|
|
(1 row)
|
|
|
|
SELECT to_number('1234.56','L99,999.99');
|
|
to_number
|
|
-----------
|
|
1234.56
|
|
(1 row)
|
|
|
|
SELECT to_number('1,234.56','L99,999.99');
|
|
to_number
|
|
-----------
|
|
1234.56
|
|
(1 row)
|
|
|
|
SELECT to_number('42nd', '99th');
|
|
to_number
|
|
-----------
|
|
42
|
|
(1 row)
|
|
|
|
RESET lc_numeric;
|
|
--
|
|
-- Input syntax
|
|
--
|
|
CREATE TABLE num_input_test (n1 numeric);
|
|
-- good inputs
|
|
INSERT INTO num_input_test(n1) VALUES (' 123');
|
|
INSERT INTO num_input_test(n1) VALUES (' 3245874 ');
|
|
INSERT INTO num_input_test(n1) VALUES (' -93853');
|
|
INSERT INTO num_input_test(n1) VALUES ('555.50');
|
|
INSERT INTO num_input_test(n1) VALUES ('-555.50');
|
|
INSERT INTO num_input_test(n1) VALUES ('NaN ');
|
|
INSERT INTO num_input_test(n1) VALUES (' nan');
|
|
INSERT INTO num_input_test(n1) VALUES (' inf ');
|
|
INSERT INTO num_input_test(n1) VALUES (' +inf ');
|
|
INSERT INTO num_input_test(n1) VALUES (' -inf ');
|
|
INSERT INTO num_input_test(n1) VALUES (' Infinity ');
|
|
INSERT INTO num_input_test(n1) VALUES (' +inFinity ');
|
|
INSERT INTO num_input_test(n1) VALUES (' -INFINITY ');
|
|
INSERT INTO num_input_test(n1) VALUES ('12_000_000_000');
|
|
INSERT INTO num_input_test(n1) VALUES ('12_000.123_456');
|
|
INSERT INTO num_input_test(n1) VALUES ('23_000_000_000e-1_0');
|
|
INSERT INTO num_input_test(n1) VALUES ('.000_000_000_123e1_0');
|
|
INSERT INTO num_input_test(n1) VALUES ('.000_000_000_123e+1_1');
|
|
INSERT INTO num_input_test(n1) VALUES ('0b10001110111100111100001001010');
|
|
INSERT INTO num_input_test(n1) VALUES (' -0B_1010_1011_0101_0100_1010_1001_1000_1100_1110_1011_0001_1111_0000_1010_1101_0010 ');
|
|
INSERT INTO num_input_test(n1) VALUES (' +0o112402761777 ');
|
|
INSERT INTO num_input_test(n1) VALUES ('-0O0012_5524_5230_6334_3167_0261');
|
|
INSERT INTO num_input_test(n1) VALUES ('-0x0000000000000000000000000deadbeef');
|
|
INSERT INTO num_input_test(n1) VALUES (' 0X_30b1_F33a_6DF0_bD4E_64DF_9BdA_7D15 ');
|
|
-- bad inputs
|
|
INSERT INTO num_input_test(n1) VALUES (' ');
|
|
ERROR: invalid input syntax for type numeric: " "
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES (' ');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES (' 1234 %');
|
|
ERROR: invalid input syntax for type numeric: " 1234 %"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES (' 1234 %');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('xyz');
|
|
ERROR: invalid input syntax for type numeric: "xyz"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('xyz');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('- 1234');
|
|
ERROR: invalid input syntax for type numeric: "- 1234"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('- 1234');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('5 . 0');
|
|
ERROR: invalid input syntax for type numeric: "5 . 0"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('5 . 0');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('5. 0 ');
|
|
ERROR: invalid input syntax for type numeric: "5. 0 "
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('5. 0 ');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('');
|
|
ERROR: invalid input syntax for type numeric: ""
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES (' N aN ');
|
|
ERROR: invalid input syntax for type numeric: " N aN "
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES (' N aN ');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('+NaN');
|
|
ERROR: invalid input syntax for type numeric: "+NaN"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('+NaN');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('-NaN');
|
|
ERROR: invalid input syntax for type numeric: "-NaN"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('-NaN');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('+ infinity');
|
|
ERROR: invalid input syntax for type numeric: "+ infinity"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('+ infinity');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('_123');
|
|
ERROR: invalid input syntax for type numeric: "_123"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('_123');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('123_');
|
|
ERROR: invalid input syntax for type numeric: "123_"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('123_');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('12__34');
|
|
ERROR: invalid input syntax for type numeric: "12__34"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('12__34');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('123_.456');
|
|
ERROR: invalid input syntax for type numeric: "123_.456"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('123_.456');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('123._456');
|
|
ERROR: invalid input syntax for type numeric: "123._456"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('123._456');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('1.2e_34');
|
|
ERROR: invalid input syntax for type numeric: "1.2e_34"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('1.2e_34');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('1.2e34_');
|
|
ERROR: invalid input syntax for type numeric: "1.2e34_"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('1.2e34_');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('1.2e3__4');
|
|
ERROR: invalid input syntax for type numeric: "1.2e3__4"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('1.2e3__4');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0b1112');
|
|
ERROR: invalid input syntax for type numeric: "0b1112"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0b1112');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0c1112');
|
|
ERROR: invalid input syntax for type numeric: "0c1112"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0c1112');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0o12345678');
|
|
ERROR: invalid input syntax for type numeric: "0o12345678"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0o12345678');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0x1eg');
|
|
ERROR: invalid input syntax for type numeric: "0x1eg"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0x1eg');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0x12.34');
|
|
ERROR: invalid input syntax for type numeric: "0x12.34"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0x12.34');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0x__1234');
|
|
ERROR: invalid input syntax for type numeric: "0x__1234"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0x__1234');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0x1234_');
|
|
ERROR: invalid input syntax for type numeric: "0x1234_"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0x1234_');
|
|
^
|
|
INSERT INTO num_input_test(n1) VALUES ('0x12__34');
|
|
ERROR: invalid input syntax for type numeric: "0x12__34"
|
|
LINE 1: INSERT INTO num_input_test(n1) VALUES ('0x12__34');
|
|
^
|
|
SELECT * FROM num_input_test;
|
|
n1
|
|
-----------------------------------
|
|
123
|
|
3245874
|
|
-93853
|
|
555.50
|
|
-555.50
|
|
NaN
|
|
NaN
|
|
Infinity
|
|
Infinity
|
|
-Infinity
|
|
Infinity
|
|
Infinity
|
|
-Infinity
|
|
12000000000
|
|
12000.123456
|
|
2.3000000000
|
|
1.23
|
|
12.3
|
|
299792458
|
|
-12345678901234567890
|
|
9999999999
|
|
-12345678900987654321
|
|
-3735928559
|
|
987654321234567898765432123456789
|
|
(24 rows)
|
|
|
|
-- Also try it with non-error-throwing API
|
|
SELECT pg_input_is_valid('34.5', 'numeric');
|
|
pg_input_is_valid
|
|
-------------------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT pg_input_is_valid('34xyz', 'numeric');
|
|
pg_input_is_valid
|
|
-------------------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT pg_input_is_valid('1e400000', 'numeric');
|
|
pg_input_is_valid
|
|
-------------------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT * FROM pg_input_error_info('1e400000', 'numeric');
|
|
message | detail | hint | sql_error_code
|
|
--------------------------------+--------+------+----------------
|
|
value overflows numeric format | | | 22003
|
|
(1 row)
|
|
|
|
SELECT pg_input_is_valid('1234.567', 'numeric(8,4)');
|
|
pg_input_is_valid
|
|
-------------------
|
|
t
|
|
(1 row)
|
|
|
|
SELECT pg_input_is_valid('1234.567', 'numeric(7,4)');
|
|
pg_input_is_valid
|
|
-------------------
|
|
f
|
|
(1 row)
|
|
|
|
SELECT * FROM pg_input_error_info('1234.567', 'numeric(7,4)');
|
|
message | detail | hint | sql_error_code
|
|
------------------------+-----------------------------------------------------------------------------------+------+----------------
|
|
numeric field overflow | A field with precision 7, scale 4 must round to an absolute value less than 10^3. | | 22003
|
|
(1 row)
|
|
|
|
SELECT * FROM pg_input_error_info('0x1234.567', 'numeric');
|
|
message | detail | hint | sql_error_code
|
|
-----------------------------------------------------+--------+------+----------------
|
|
invalid input syntax for type numeric: "0x1234.567" | | | 22P02
|
|
(1 row)
|
|
|
|
--
|
|
-- Test precision and scale typemods
|
|
--
|
|
CREATE TABLE num_typemod_test (
|
|
millions numeric(3, -6),
|
|
thousands numeric(3, -3),
|
|
units numeric(3, 0),
|
|
thousandths numeric(3, 3),
|
|
millionths numeric(3, 6)
|
|
);
|
|
\d num_typemod_test
|
|
Table "public.num_typemod_test"
|
|
Column | Type | Collation | Nullable | Default
|
|
-------------+---------------+-----------+----------+---------
|
|
millions | numeric(3,-6) | | |
|
|
thousands | numeric(3,-3) | | |
|
|
units | numeric(3,0) | | |
|
|
thousandths | numeric(3,3) | | |
|
|
millionths | numeric(3,6) | | |
|
|
|
|
-- rounding of valid inputs
|
|
INSERT INTO num_typemod_test VALUES (123456, 123, 0.123, 0.000123, 0.000000123);
|
|
INSERT INTO num_typemod_test VALUES (654321, 654, 0.654, 0.000654, 0.000000654);
|
|
INSERT INTO num_typemod_test VALUES (2345678, 2345, 2.345, 0.002345, 0.000002345);
|
|
INSERT INTO num_typemod_test VALUES (7654321, 7654, 7.654, 0.007654, 0.000007654);
|
|
INSERT INTO num_typemod_test VALUES (12345678, 12345, 12.345, 0.012345, 0.000012345);
|
|
INSERT INTO num_typemod_test VALUES (87654321, 87654, 87.654, 0.087654, 0.000087654);
|
|
INSERT INTO num_typemod_test VALUES (123456789, 123456, 123.456, 0.123456, 0.000123456);
|
|
INSERT INTO num_typemod_test VALUES (987654321, 987654, 987.654, 0.987654, 0.000987654);
|
|
INSERT INTO num_typemod_test VALUES ('NaN', 'NaN', 'NaN', 'NaN', 'NaN');
|
|
SELECT scale(millions), * FROM num_typemod_test ORDER BY millions;
|
|
scale | millions | thousands | units | thousandths | millionths
|
|
-------+-----------+-----------+-------+-------------+------------
|
|
0 | 0 | 0 | 0 | 0.000 | 0.000000
|
|
0 | 1000000 | 1000 | 1 | 0.001 | 0.000001
|
|
0 | 2000000 | 2000 | 2 | 0.002 | 0.000002
|
|
0 | 8000000 | 8000 | 8 | 0.008 | 0.000008
|
|
0 | 12000000 | 12000 | 12 | 0.012 | 0.000012
|
|
0 | 88000000 | 88000 | 88 | 0.088 | 0.000088
|
|
0 | 123000000 | 123000 | 123 | 0.123 | 0.000123
|
|
0 | 988000000 | 988000 | 988 | 0.988 | 0.000988
|
|
| NaN | NaN | NaN | NaN | NaN
|
|
(9 rows)
|
|
|
|
-- invalid inputs
|
|
INSERT INTO num_typemod_test (millions) VALUES ('inf');
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 3, scale -6 cannot hold an infinite value.
|
|
INSERT INTO num_typemod_test (millions) VALUES (999500000);
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 3, scale -6 must round to an absolute value less than 10^9.
|
|
INSERT INTO num_typemod_test (thousands) VALUES (999500);
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 3, scale -3 must round to an absolute value less than 10^6.
|
|
INSERT INTO num_typemod_test (units) VALUES (999.5);
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 3, scale 0 must round to an absolute value less than 10^3.
|
|
INSERT INTO num_typemod_test (thousandths) VALUES (0.9995);
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 3, scale 3 must round to an absolute value less than 1.
|
|
INSERT INTO num_typemod_test (millionths) VALUES (0.0009995);
|
|
ERROR: numeric field overflow
|
|
DETAIL: A field with precision 3, scale 6 must round to an absolute value less than 10^-3.
|
|
--
|
|
-- Test some corner cases for multiplication
|
|
--
|
|
select 4790999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999;
|
|
?column?
|
|
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
47909999999999999999999999999999999999999999999999999999999999999999999999999999999999985209000000000000000000000000000000000000000000000000000000000000000000000000000000000001
|
|
(1 row)
|
|
|
|
select 4789999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999;
|
|
?column?
|
|
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
47899999999999999999999999999999999999999999999999999999999999999999999999999999999999985210000000000000000000000000000000000000000000000000000000000000000000000000000000000001
|
|
(1 row)
|
|
|
|
select 4770999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999;
|
|
?column?
|
|
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
47709999999999999999999999999999999999999999999999999999999999999999999999999999999999985229000000000000000000000000000000000000000000000000000000000000000000000000000000000001
|
|
(1 row)
|
|
|
|
select 4769999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999;
|
|
?column?
|
|
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
47699999999999999999999999999999999999999999999999999999999999999999999999999999999999985230000000000000000000000000000000000000000000000000000000000000000000000000000000000001
|
|
(1 row)
|
|
|
|
select trim_scale((0.1 - 2e-16383) * (0.1 - 3e-16383));
|
|
trim_scale
|
|
------------
|
|
0.01
|
|
(1 row)
|
|
|
|
--
|
|
-- Test some corner cases for division
|
|
--
|
|
select 999999999999999999999::numeric/1000000000000000000000;
|
|
?column?
|
|
------------------------
|
|
1.00000000000000000000
|
|
(1 row)
|
|
|
|
select div(999999999999999999999::numeric,1000000000000000000000);
|
|
div
|
|
-----
|
|
0
|
|
(1 row)
|
|
|
|
select mod(999999999999999999999::numeric,1000000000000000000000);
|
|
mod
|
|
-----------------------
|
|
999999999999999999999
|
|
(1 row)
|
|
|
|
select div(-9999999999999999999999::numeric,1000000000000000000000);
|
|
div
|
|
-----
|
|
-9
|
|
(1 row)
|
|
|
|
select mod(-9999999999999999999999::numeric,1000000000000000000000);
|
|
mod
|
|
------------------------
|
|
-999999999999999999999
|
|
(1 row)
|
|
|
|
select div(-9999999999999999999999::numeric,1000000000000000000000)*1000000000000000000000 + mod(-9999999999999999999999::numeric,1000000000000000000000);
|
|
?column?
|
|
-------------------------
|
|
-9999999999999999999999
|
|
(1 row)
|
|
|
|
select mod (70.0,70) ;
|
|
mod
|
|
-----
|
|
0.0
|
|
(1 row)
|
|
|
|
select div (70.0,70) ;
|
|
div
|
|
-----
|
|
1
|
|
(1 row)
|
|
|
|
select 70.0 / 70 ;
|
|
?column?
|
|
------------------------
|
|
1.00000000000000000000
|
|
(1 row)
|
|
|
|
select 12345678901234567890 % 123;
|
|
?column?
|
|
----------
|
|
78
|
|
(1 row)
|
|
|
|
select 12345678901234567890 / 123;
|
|
?column?
|
|
--------------------
|
|
100371373180768845
|
|
(1 row)
|
|
|
|
select div(12345678901234567890, 123);
|
|
div
|
|
--------------------
|
|
100371373180768844
|
|
(1 row)
|
|
|
|
select div(12345678901234567890, 123) * 123 + 12345678901234567890 % 123;
|
|
?column?
|
|
----------------------
|
|
12345678901234567890
|
|
(1 row)
|
|
|
|
--
|
|
-- Test some corner cases for square root
|
|
--
|
|
select sqrt(1.000000000000003::numeric);
|
|
sqrt
|
|
-------------------
|
|
1.000000000000001
|
|
(1 row)
|
|
|
|
select sqrt(1.000000000000004::numeric);
|
|
sqrt
|
|
-------------------
|
|
1.000000000000002
|
|
(1 row)
|
|
|
|
select sqrt(96627521408608.56340355805::numeric);
|
|
sqrt
|
|
---------------------
|
|
9829929.87811248648
|
|
(1 row)
|
|
|
|
select sqrt(96627521408608.56340355806::numeric);
|
|
sqrt
|
|
---------------------
|
|
9829929.87811248649
|
|
(1 row)
|
|
|
|
select sqrt(515549506212297735.073688290367::numeric);
|
|
sqrt
|
|
------------------------
|
|
718017761.766585921184
|
|
(1 row)
|
|
|
|
select sqrt(515549506212297735.073688290368::numeric);
|
|
sqrt
|
|
------------------------
|
|
718017761.766585921185
|
|
(1 row)
|
|
|
|
select sqrt(8015491789940783531003294973900306::numeric);
|
|
sqrt
|
|
-------------------
|
|
89529278953540017
|
|
(1 row)
|
|
|
|
select sqrt(8015491789940783531003294973900307::numeric);
|
|
sqrt
|
|
-------------------
|
|
89529278953540018
|
|
(1 row)
|
|
|
|
--
|
|
-- Test code path for raising to integer powers
|
|
--
|
|
select 10.0 ^ -2147483648 as rounds_to_zero;
|
|
rounds_to_zero
|
|
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
|
|
(1 row)
|
|
|
|
select 10.0 ^ -2147483647 as rounds_to_zero;
|
|
rounds_to_zero
|
|
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
|
|
(1 row)
|
|
|
|
select 10.0 ^ 2147483647 as overflows;
|
|
ERROR: value overflows numeric format
|
|
select 117743296169.0 ^ 1000000000 as overflows;
|
|
ERROR: value overflows numeric format
|
|
-- cases that used to return inaccurate results
|
|
select 3.789 ^ 21.0000000000000000;
|
|
?column?
|
|
--------------------------------
|
|
1409343026052.8716016316022141
|
|
(1 row)
|
|
|
|
select 3.789 ^ 35.0000000000000000;
|
|
?column?
|
|
----------------------------------------
|
|
177158169650516670809.3820586142670135
|
|
(1 row)
|
|
|
|
select 1.2 ^ 345;
|
|
?column?
|
|
--------------------------------
|
|
2077446682327378559843444695.6
|
|
(1 row)
|
|
|
|
select 0.12 ^ (-20);
|
|
?column?
|
|
------------------------
|
|
2608405330458882702.55
|
|
(1 row)
|
|
|
|
select 1.000000000123 ^ (-2147483648);
|
|
?column?
|
|
--------------------
|
|
0.7678656556403084
|
|
(1 row)
|
|
|
|
select coalesce(nullif(0.9999999999 ^ 23300000000000, 0), 0) as rounds_to_zero;
|
|
rounds_to_zero
|
|
----------------
|
|
0
|
|
(1 row)
|
|
|
|
select round(((1 - 1.500012345678e-1000) ^ 1.45e1003) * 1e1000);
|
|
round
|
|
----------------------------------------------------------
|
|
25218976308958387188077465658068501556514992509509282366
|
|
(1 row)
|
|
|
|
-- cases that used to error out
|
|
select 0.12 ^ (-25);
|
|
?column?
|
|
-----------------------------
|
|
104825960103961013959336.50
|
|
(1 row)
|
|
|
|
select 0.5678 ^ (-85);
|
|
?column?
|
|
----------------------------
|
|
782333637740774446257.7719
|
|
(1 row)
|
|
|
|
select coalesce(nullif(0.9999999999 ^ 70000000000000, 0), 0) as underflows;
|
|
underflows
|
|
------------
|
|
0
|
|
(1 row)
|
|
|
|
-- negative base to integer powers
|
|
select (-1.0) ^ 2147483646;
|
|
?column?
|
|
--------------------
|
|
1.0000000000000000
|
|
(1 row)
|
|
|
|
select (-1.0) ^ 2147483647;
|
|
?column?
|
|
---------------------
|
|
-1.0000000000000000
|
|
(1 row)
|
|
|
|
select (-1.0) ^ 2147483648;
|
|
?column?
|
|
--------------------
|
|
1.0000000000000000
|
|
(1 row)
|
|
|
|
select (-1.0) ^ 1000000000000000;
|
|
?column?
|
|
--------------------
|
|
1.0000000000000000
|
|
(1 row)
|
|
|
|
select (-1.0) ^ 1000000000000001;
|
|
?column?
|
|
---------------------
|
|
-1.0000000000000000
|
|
(1 row)
|
|
|
|
-- integer powers of 10
|
|
select n, 10.0 ^ n as "10^n", (10.0 ^ n) * (10.0 ^ (-n)) = 1 as ok
|
|
from generate_series(-20, 20) n;
|
|
n | 10^n | ok
|
|
-----+----------------------------------------+----
|
|
-20 | 0.000000000000000000010000000000000000 | t
|
|
-19 | 0.00000000000000000010000000000000000 | t
|
|
-18 | 0.0000000000000000010000000000000000 | t
|
|
-17 | 0.000000000000000010000000000000000 | t
|
|
-16 | 0.00000000000000010000000000000000 | t
|
|
-15 | 0.0000000000000010000000000000000 | t
|
|
-14 | 0.000000000000010000000000000000 | t
|
|
-13 | 0.00000000000010000000000000000 | t
|
|
-12 | 0.0000000000010000000000000000 | t
|
|
-11 | 0.000000000010000000000000000 | t
|
|
-10 | 0.00000000010000000000000000 | t
|
|
-9 | 0.0000000010000000000000000 | t
|
|
-8 | 0.000000010000000000000000 | t
|
|
-7 | 0.00000010000000000000000 | t
|
|
-6 | 0.0000010000000000000000 | t
|
|
-5 | 0.000010000000000000000 | t
|
|
-4 | 0.00010000000000000000 | t
|
|
-3 | 0.0010000000000000000 | t
|
|
-2 | 0.010000000000000000 | t
|
|
-1 | 0.10000000000000000 | t
|
|
0 | 1.0000000000000000 | t
|
|
1 | 10.000000000000000 | t
|
|
2 | 100.00000000000000 | t
|
|
3 | 1000.0000000000000 | t
|
|
4 | 10000.000000000000 | t
|
|
5 | 100000.00000000000 | t
|
|
6 | 1000000.0000000000 | t
|
|
7 | 10000000.000000000 | t
|
|
8 | 100000000.00000000 | t
|
|
9 | 1000000000.0000000 | t
|
|
10 | 10000000000.000000 | t
|
|
11 | 100000000000.00000 | t
|
|
12 | 1000000000000.0000 | t
|
|
13 | 10000000000000.000 | t
|
|
14 | 100000000000000.00 | t
|
|
15 | 1000000000000000.0 | t
|
|
16 | 10000000000000000.0 | t
|
|
17 | 100000000000000000.0 | t
|
|
18 | 1000000000000000000.0 | t
|
|
19 | 10000000000000000000.0 | t
|
|
20 | 100000000000000000000.0 | t
|
|
(41 rows)
|
|
|
|
--
|
|
-- Tests for raising to non-integer powers
|
|
--
|
|
-- special cases
|
|
select 0.0 ^ 0.0;
|
|
?column?
|
|
--------------------
|
|
1.0000000000000000
|
|
(1 row)
|
|
|
|
select (-12.34) ^ 0.0;
|
|
?column?
|
|
--------------------
|
|
1.0000000000000000
|
|
(1 row)
|
|
|
|
select 12.34 ^ 0.0;
|
|
?column?
|
|
--------------------
|
|
1.0000000000000000
|
|
(1 row)
|
|
|
|
select 0.0 ^ 12.34;
|
|
?column?
|
|
--------------------
|
|
0.0000000000000000
|
|
(1 row)
|
|
|
|
-- NaNs
|
|
select 'NaN'::numeric ^ 'NaN'::numeric;
|
|
?column?
|
|
----------
|
|
NaN
|
|
(1 row)
|
|
|
|
select 'NaN'::numeric ^ 0;
|
|
?column?
|
|
----------
|
|
1
|
|
(1 row)
|
|
|
|
select 'NaN'::numeric ^ 1;
|
|
?column?
|
|
----------
|
|
NaN
|
|
(1 row)
|
|
|
|
select 0 ^ 'NaN'::numeric;
|
|
?column?
|
|
----------
|
|
NaN
|
|
(1 row)
|
|
|
|
select 1 ^ 'NaN'::numeric;
|
|
?column?
|
|
----------
|
|
1
|
|
(1 row)
|
|
|
|
-- invalid inputs
|
|
select 0.0 ^ (-12.34);
|
|
ERROR: zero raised to a negative power is undefined
|
|
select (-12.34) ^ 1.2;
|
|
ERROR: a negative number raised to a non-integer power yields a complex result
|
|
-- cases that used to generate inaccurate results
|
|
select 32.1 ^ 9.8;
|
|
?column?
|
|
--------------------
|
|
580429286790711.10
|
|
(1 row)
|
|
|
|
select 32.1 ^ (-9.8);
|
|
?column?
|
|
----------------------------------
|
|
0.000000000000001722862754788209
|
|
(1 row)
|
|
|
|
select 12.3 ^ 45.6;
|
|
?column?
|
|
------------------------------------------------------
|
|
50081010321492803393171165777624533697036806969694.9
|
|
(1 row)
|
|
|
|
select 12.3 ^ (-45.6);
|
|
?column?
|
|
---------------------------------------------------------------------
|
|
0.00000000000000000000000000000000000000000000000001996764828785491
|
|
(1 row)
|
|
|
|
-- big test
|
|
select 1.234 ^ 5678;
|
|
?column?
|
|
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
307239295662090741644584872593956173493568238595074141254349565406661439636598896798876823220904084953233015553994854875890890858118656468658643918169805277399402542281777901029346337707622181574346585989613344285010764501017625366742865066948856161360224801370482171458030533346309750557140549621313515752078638620714732831815297168231790779296290266207315344008883935010274044001522606235576584215999260117523114297033944018699691024106823438431754073086813382242140602291215149759520833200152654884259619588924545324.597
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for EXP()
|
|
--
|
|
-- special cases
|
|
select exp(0.0);
|
|
exp
|
|
--------------------
|
|
1.0000000000000000
|
|
(1 row)
|
|
|
|
select exp(1.0);
|
|
exp
|
|
--------------------
|
|
2.7182818284590452
|
|
(1 row)
|
|
|
|
select exp(1.0::numeric(71,70));
|
|
exp
|
|
--------------------------------------------------------------------------
|
|
2.7182818284590452353602874713526624977572470936999595749669676277240766
|
|
(1 row)
|
|
|
|
select exp('nan'::numeric);
|
|
exp
|
|
-----
|
|
NaN
|
|
(1 row)
|
|
|
|
select exp('inf'::numeric);
|
|
exp
|
|
----------
|
|
Infinity
|
|
(1 row)
|
|
|
|
select exp('-inf'::numeric);
|
|
exp
|
|
-----
|
|
0
|
|
(1 row)
|
|
|
|
select coalesce(nullif(exp(-5000::numeric), 0), 0) as rounds_to_zero;
|
|
rounds_to_zero
|
|
----------------
|
|
0
|
|
(1 row)
|
|
|
|
select coalesce(nullif(exp(-10000::numeric), 0), 0) as underflows;
|
|
underflows
|
|
------------
|
|
0
|
|
(1 row)
|
|
|
|
-- cases that used to generate inaccurate results
|
|
select exp(32.999);
|
|
exp
|
|
---------------------
|
|
214429043492155.053
|
|
(1 row)
|
|
|
|
select exp(-32.999);
|
|
exp
|
|
----------------------------------
|
|
0.000000000000004663547361468248
|
|
(1 row)
|
|
|
|
select exp(123.456);
|
|
exp
|
|
------------------------------------------------------------
|
|
413294435277809344957685441227343146614594393746575438.725
|
|
(1 row)
|
|
|
|
select exp(-123.456);
|
|
exp
|
|
-------------------------------------------------------------------------
|
|
0.000000000000000000000000000000000000000000000000000002419582541264601
|
|
(1 row)
|
|
|
|
-- big test
|
|
select exp(1234.5678);
|
|
exp
|
|
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|
146549072930959479983482138503979804217622199675223653966270157446954995433819741094410764947112047906012815540251009949604426069672532417736057033099274204598385314594846509975629046864798765888104789074984927709616261452461385220475510438783429612447831614003668421849727379202555580791042606170523016207262965336641214601082882495255771621327088265411334088968112458492660609809762865582162764292604697957813514621259353683899630997077707406305730694385703091201347848855199354307506425820147289848677003277208302716466011827836279231.9667
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for generate_series
|
|
--
|
|
select * from generate_series(0.0::numeric, 4.0::numeric);
|
|
generate_series
|
|
-----------------
|
|
0.0
|
|
1.0
|
|
2.0
|
|
3.0
|
|
4.0
|
|
(5 rows)
|
|
|
|
select * from generate_series(0.1::numeric, 4.0::numeric, 1.3::numeric);
|
|
generate_series
|
|
-----------------
|
|
0.1
|
|
1.4
|
|
2.7
|
|
4.0
|
|
(4 rows)
|
|
|
|
select * from generate_series(4.0::numeric, -1.5::numeric, -2.2::numeric);
|
|
generate_series
|
|
-----------------
|
|
4.0
|
|
1.8
|
|
-0.4
|
|
(3 rows)
|
|
|
|
-- Trigger errors
|
|
select * from generate_series(-100::numeric, 100::numeric, 0::numeric);
|
|
ERROR: step size cannot equal zero
|
|
select * from generate_series(-100::numeric, 100::numeric, 'nan'::numeric);
|
|
ERROR: step size cannot be NaN
|
|
select * from generate_series('nan'::numeric, 100::numeric, 10::numeric);
|
|
ERROR: start value cannot be NaN
|
|
select * from generate_series(0::numeric, 'nan'::numeric, 10::numeric);
|
|
ERROR: stop value cannot be NaN
|
|
select * from generate_series('inf'::numeric, 'inf'::numeric, 10::numeric);
|
|
ERROR: start value cannot be infinity
|
|
select * from generate_series(0::numeric, 'inf'::numeric, 10::numeric);
|
|
ERROR: stop value cannot be infinity
|
|
select * from generate_series(0::numeric, '42'::numeric, '-inf'::numeric);
|
|
ERROR: step size cannot be infinity
|
|
-- Checks maximum, output is truncated
|
|
select (i / (10::numeric ^ 131071))::numeric(1,0)
|
|
from generate_series(6 * (10::numeric ^ 131071),
|
|
9 * (10::numeric ^ 131071),
|
|
10::numeric ^ 131071) as a(i);
|
|
numeric
|
|
---------
|
|
6
|
|
7
|
|
8
|
|
9
|
|
(4 rows)
|
|
|
|
-- Check usage with variables
|
|
select * from generate_series(1::numeric, 3::numeric) i, generate_series(i,3) j;
|
|
i | j
|
|
---+---
|
|
1 | 1
|
|
1 | 2
|
|
1 | 3
|
|
2 | 2
|
|
2 | 3
|
|
3 | 3
|
|
(6 rows)
|
|
|
|
select * from generate_series(1::numeric, 3::numeric) i, generate_series(1,i) j;
|
|
i | j
|
|
---+---
|
|
1 | 1
|
|
2 | 1
|
|
2 | 2
|
|
3 | 1
|
|
3 | 2
|
|
3 | 3
|
|
(6 rows)
|
|
|
|
select * from generate_series(1::numeric, 3::numeric) i, generate_series(1,5,i) j;
|
|
i | j
|
|
---+---
|
|
1 | 1
|
|
1 | 2
|
|
1 | 3
|
|
1 | 4
|
|
1 | 5
|
|
2 | 1
|
|
2 | 3
|
|
2 | 5
|
|
3 | 1
|
|
3 | 4
|
|
(10 rows)
|
|
|
|
--
|
|
-- Tests for LN()
|
|
--
|
|
-- Invalid inputs
|
|
select ln(-12.34);
|
|
ERROR: cannot take logarithm of a negative number
|
|
select ln(0.0);
|
|
ERROR: cannot take logarithm of zero
|
|
-- Some random tests
|
|
select ln(1.2345678e-28);
|
|
ln
|
|
-----------------------------------------
|
|
-64.26166165451762991204894255882820859
|
|
(1 row)
|
|
|
|
select ln(0.0456789);
|
|
ln
|
|
---------------------
|
|
-3.0861187944847439
|
|
(1 row)
|
|
|
|
select ln(0.349873948359354029493948309745709580730482050975);
|
|
ln
|
|
-----------------------------------------------------
|
|
-1.050182336912082775693991697979750253056317885460
|
|
(1 row)
|
|
|
|
select ln(0.99949452);
|
|
ln
|
|
-------------------------
|
|
-0.00050560779808326467
|
|
(1 row)
|
|
|
|
select ln(1.00049687395);
|
|
ln
|
|
------------------------
|
|
0.00049675054901370394
|
|
(1 row)
|
|
|
|
select ln(1234.567890123456789);
|
|
ln
|
|
--------------------
|
|
7.1184763012977896
|
|
(1 row)
|
|
|
|
select ln(5.80397490724e5);
|
|
ln
|
|
--------------------
|
|
13.271468476626518
|
|
(1 row)
|
|
|
|
select ln(9.342536355e34);
|
|
ln
|
|
--------------------
|
|
80.522470935524187
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for LOG() (base 10)
|
|
--
|
|
-- invalid inputs
|
|
select log(-12.34);
|
|
ERROR: cannot take logarithm of a negative number
|
|
CONTEXT: SQL function "log" statement 1
|
|
select log(0.0);
|
|
ERROR: cannot take logarithm of zero
|
|
CONTEXT: SQL function "log" statement 1
|
|
-- some random tests
|
|
select log(1.234567e-89);
|
|
log
|
|
-----------------------------------------------------------------------------------------------------
|
|
-88.90848533591373725637496492944925187293052336306443143312825869985819779294142441287021741054275
|
|
(1 row)
|
|
|
|
select log(3.4634998359873254962349856073435545);
|
|
log
|
|
--------------------------------------
|
|
0.5395151714070134409152404011959981
|
|
(1 row)
|
|
|
|
select log(9.999999999999999999);
|
|
log
|
|
----------------------
|
|
1.000000000000000000
|
|
(1 row)
|
|
|
|
select log(10.00000000000000000);
|
|
log
|
|
---------------------
|
|
1.00000000000000000
|
|
(1 row)
|
|
|
|
select log(10.00000000000000001);
|
|
log
|
|
---------------------
|
|
1.00000000000000000
|
|
(1 row)
|
|
|
|
select log(590489.45235237);
|
|
log
|
|
-------------------
|
|
5.771212144411727
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for LOG() (arbitrary base)
|
|
--
|
|
-- invalid inputs
|
|
select log(-12.34, 56.78);
|
|
ERROR: cannot take logarithm of a negative number
|
|
select log(-12.34, -56.78);
|
|
ERROR: cannot take logarithm of a negative number
|
|
select log(12.34, -56.78);
|
|
ERROR: cannot take logarithm of a negative number
|
|
select log(0.0, 12.34);
|
|
ERROR: cannot take logarithm of zero
|
|
select log(12.34, 0.0);
|
|
ERROR: cannot take logarithm of zero
|
|
select log(1.0, 12.34);
|
|
ERROR: division by zero
|
|
-- some random tests
|
|
select log(1.23e-89, 6.4689e45);
|
|
log
|
|
------------------------------------------------------------------------------------------------
|
|
-0.5152489207781856983977054971756484879653568168479201885425588841094788842469115325262329756
|
|
(1 row)
|
|
|
|
select log(0.99923, 4.58934e34);
|
|
log
|
|
---------------------
|
|
-103611.55579544132
|
|
(1 row)
|
|
|
|
select log(1.000016, 8.452010e18);
|
|
log
|
|
--------------------
|
|
2723830.2877097365
|
|
(1 row)
|
|
|
|
select log(3.1954752e47, 9.4792021e-73);
|
|
log
|
|
-------------------------------------------------------------------------------------
|
|
-1.51613372350688302142917386143459361608600157692779164475351842333265418126982165
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for scale()
|
|
--
|
|
select scale(numeric 'NaN');
|
|
scale
|
|
-------
|
|
|
|
(1 row)
|
|
|
|
select scale(numeric 'inf');
|
|
scale
|
|
-------
|
|
|
|
(1 row)
|
|
|
|
select scale(NULL::numeric);
|
|
scale
|
|
-------
|
|
|
|
(1 row)
|
|
|
|
select scale(1.12);
|
|
scale
|
|
-------
|
|
2
|
|
(1 row)
|
|
|
|
select scale(0);
|
|
scale
|
|
-------
|
|
0
|
|
(1 row)
|
|
|
|
select scale(0.00);
|
|
scale
|
|
-------
|
|
2
|
|
(1 row)
|
|
|
|
select scale(1.12345);
|
|
scale
|
|
-------
|
|
5
|
|
(1 row)
|
|
|
|
select scale(110123.12475871856128);
|
|
scale
|
|
-------
|
|
14
|
|
(1 row)
|
|
|
|
select scale(-1123.12471856128);
|
|
scale
|
|
-------
|
|
11
|
|
(1 row)
|
|
|
|
select scale(-13.000000000000000);
|
|
scale
|
|
-------
|
|
15
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for min_scale()
|
|
--
|
|
select min_scale(numeric 'NaN') is NULL; -- should be true
|
|
?column?
|
|
----------
|
|
t
|
|
(1 row)
|
|
|
|
select min_scale(numeric 'inf') is NULL; -- should be true
|
|
?column?
|
|
----------
|
|
t
|
|
(1 row)
|
|
|
|
select min_scale(0); -- no digits
|
|
min_scale
|
|
-----------
|
|
0
|
|
(1 row)
|
|
|
|
select min_scale(0.00); -- no digits again
|
|
min_scale
|
|
-----------
|
|
0
|
|
(1 row)
|
|
|
|
select min_scale(1.0); -- no scale
|
|
min_scale
|
|
-----------
|
|
0
|
|
(1 row)
|
|
|
|
select min_scale(1.1); -- scale 1
|
|
min_scale
|
|
-----------
|
|
1
|
|
(1 row)
|
|
|
|
select min_scale(1.12); -- scale 2
|
|
min_scale
|
|
-----------
|
|
2
|
|
(1 row)
|
|
|
|
select min_scale(1.123); -- scale 3
|
|
min_scale
|
|
-----------
|
|
3
|
|
(1 row)
|
|
|
|
select min_scale(1.1234); -- scale 4, filled digit
|
|
min_scale
|
|
-----------
|
|
4
|
|
(1 row)
|
|
|
|
select min_scale(1.12345); -- scale 5, 2 NDIGITS
|
|
min_scale
|
|
-----------
|
|
5
|
|
(1 row)
|
|
|
|
select min_scale(1.1000); -- 1 pos in NDIGITS
|
|
min_scale
|
|
-----------
|
|
1
|
|
(1 row)
|
|
|
|
select min_scale(1e100); -- very big number
|
|
min_scale
|
|
-----------
|
|
0
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for trim_scale()
|
|
--
|
|
select trim_scale(numeric 'NaN');
|
|
trim_scale
|
|
------------
|
|
NaN
|
|
(1 row)
|
|
|
|
select trim_scale(numeric 'inf');
|
|
trim_scale
|
|
------------
|
|
Infinity
|
|
(1 row)
|
|
|
|
select trim_scale(1.120);
|
|
trim_scale
|
|
------------
|
|
1.12
|
|
(1 row)
|
|
|
|
select trim_scale(0);
|
|
trim_scale
|
|
------------
|
|
0
|
|
(1 row)
|
|
|
|
select trim_scale(0.00);
|
|
trim_scale
|
|
------------
|
|
0
|
|
(1 row)
|
|
|
|
select trim_scale(1.1234500);
|
|
trim_scale
|
|
------------
|
|
1.12345
|
|
(1 row)
|
|
|
|
select trim_scale(110123.12475871856128000);
|
|
trim_scale
|
|
-----------------------
|
|
110123.12475871856128
|
|
(1 row)
|
|
|
|
select trim_scale(-1123.124718561280000000);
|
|
trim_scale
|
|
-------------------
|
|
-1123.12471856128
|
|
(1 row)
|
|
|
|
select trim_scale(-13.00000000000000000000);
|
|
trim_scale
|
|
------------
|
|
-13
|
|
(1 row)
|
|
|
|
select trim_scale(1e100);
|
|
trim_scale
|
|
-------------------------------------------------------------------------------------------------------
|
|
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for SUM()
|
|
--
|
|
-- cases that need carry propagation
|
|
SELECT SUM(9999::numeric) FROM generate_series(1, 100000);
|
|
sum
|
|
-----------
|
|
999900000
|
|
(1 row)
|
|
|
|
SELECT SUM((-9999)::numeric) FROM generate_series(1, 100000);
|
|
sum
|
|
------------
|
|
-999900000
|
|
(1 row)
|
|
|
|
--
|
|
-- Tests for VARIANCE()
|
|
--
|
|
CREATE TABLE num_variance (a numeric);
|
|
INSERT INTO num_variance VALUES (0);
|
|
INSERT INTO num_variance VALUES (3e-500);
|
|
INSERT INTO num_variance VALUES (-3e-500);
|
|
INSERT INTO num_variance VALUES (4e-500 - 1e-16383);
|
|
INSERT INTO num_variance VALUES (-4e-500 + 1e-16383);
|
|
-- variance is just under 12.5e-1000 and so should round down to 12e-1000
|
|
SELECT trim_scale(variance(a) * 1e1000) FROM num_variance;
|
|
trim_scale
|
|
------------
|
|
12
|
|
(1 row)
|
|
|
|
-- check that parallel execution produces the same result
|
|
BEGIN;
|
|
ALTER TABLE num_variance SET (parallel_workers = 4);
|
|
SET LOCAL parallel_setup_cost = 0;
|
|
SET LOCAL max_parallel_workers_per_gather = 4;
|
|
SELECT trim_scale(variance(a) * 1e1000) FROM num_variance;
|
|
trim_scale
|
|
------------
|
|
12
|
|
(1 row)
|
|
|
|
ROLLBACK;
|
|
-- case where sum of squares would overflow but variance does not
|
|
DELETE FROM num_variance;
|
|
INSERT INTO num_variance SELECT 9e131071 + x FROM generate_series(1, 5) x;
|
|
SELECT variance(a) FROM num_variance;
|
|
variance
|
|
--------------------
|
|
2.5000000000000000
|
|
(1 row)
|
|
|
|
-- check that parallel execution produces the same result
|
|
BEGIN;
|
|
ALTER TABLE num_variance SET (parallel_workers = 4);
|
|
SET LOCAL parallel_setup_cost = 0;
|
|
SET LOCAL max_parallel_workers_per_gather = 4;
|
|
SELECT variance(a) FROM num_variance;
|
|
variance
|
|
--------------------
|
|
2.5000000000000000
|
|
(1 row)
|
|
|
|
ROLLBACK;
|
|
DROP TABLE num_variance;
|
|
--
|
|
-- Tests for GCD()
|
|
--
|
|
SELECT a, b, gcd(a, b), gcd(a, -b), gcd(-b, a), gcd(-b, -a)
|
|
FROM (VALUES (0::numeric, 0::numeric),
|
|
(0::numeric, numeric 'NaN'),
|
|
(0::numeric, 46375::numeric),
|
|
(433125::numeric, 46375::numeric),
|
|
(43312.5::numeric, 4637.5::numeric),
|
|
(4331.250::numeric, 463.75000::numeric),
|
|
('inf', '0'),
|
|
('inf', '42'),
|
|
('inf', 'inf')
|
|
) AS v(a, b);
|
|
a | b | gcd | gcd | gcd | gcd
|
|
----------+-----------+---------+---------+---------+---------
|
|
0 | 0 | 0 | 0 | 0 | 0
|
|
0 | NaN | NaN | NaN | NaN | NaN
|
|
0 | 46375 | 46375 | 46375 | 46375 | 46375
|
|
433125 | 46375 | 875 | 875 | 875 | 875
|
|
43312.5 | 4637.5 | 87.5 | 87.5 | 87.5 | 87.5
|
|
4331.250 | 463.75000 | 8.75000 | 8.75000 | 8.75000 | 8.75000
|
|
Infinity | 0 | NaN | NaN | NaN | NaN
|
|
Infinity | 42 | NaN | NaN | NaN | NaN
|
|
Infinity | Infinity | NaN | NaN | NaN | NaN
|
|
(9 rows)
|
|
|
|
--
|
|
-- Tests for LCM()
|
|
--
|
|
SELECT a,b, lcm(a, b), lcm(a, -b), lcm(-b, a), lcm(-b, -a)
|
|
FROM (VALUES (0::numeric, 0::numeric),
|
|
(0::numeric, numeric 'NaN'),
|
|
(0::numeric, 13272::numeric),
|
|
(13272::numeric, 13272::numeric),
|
|
(423282::numeric, 13272::numeric),
|
|
(42328.2::numeric, 1327.2::numeric),
|
|
(4232.820::numeric, 132.72000::numeric),
|
|
('inf', '0'),
|
|
('inf', '42'),
|
|
('inf', 'inf')
|
|
) AS v(a, b);
|
|
a | b | lcm | lcm | lcm | lcm
|
|
----------+-----------+--------------+--------------+--------------+--------------
|
|
0 | 0 | 0 | 0 | 0 | 0
|
|
0 | NaN | NaN | NaN | NaN | NaN
|
|
0 | 13272 | 0 | 0 | 0 | 0
|
|
13272 | 13272 | 13272 | 13272 | 13272 | 13272
|
|
423282 | 13272 | 11851896 | 11851896 | 11851896 | 11851896
|
|
42328.2 | 1327.2 | 1185189.6 | 1185189.6 | 1185189.6 | 1185189.6
|
|
4232.820 | 132.72000 | 118518.96000 | 118518.96000 | 118518.96000 | 118518.96000
|
|
Infinity | 0 | NaN | NaN | NaN | NaN
|
|
Infinity | 42 | NaN | NaN | NaN | NaN
|
|
Infinity | Infinity | NaN | NaN | NaN | NaN
|
|
(10 rows)
|
|
|
|
SELECT lcm(9999 * (10::numeric)^131068 + (10::numeric^131068 - 1), 2); -- overflow
|
|
ERROR: value overflows numeric format
|
|
--
|
|
-- Tests for factorial
|
|
--
|
|
SELECT factorial(4);
|
|
factorial
|
|
-----------
|
|
24
|
|
(1 row)
|
|
|
|
SELECT factorial(15);
|
|
factorial
|
|
---------------
|
|
1307674368000
|
|
(1 row)
|
|
|
|
SELECT factorial(100000);
|
|
ERROR: value overflows numeric format
|
|
SELECT factorial(0);
|
|
factorial
|
|
-----------
|
|
1
|
|
(1 row)
|
|
|
|
SELECT factorial(-4);
|
|
ERROR: factorial of a negative number is undefined
|
|
--
|
|
-- Tests for pg_lsn()
|
|
--
|
|
SELECT pg_lsn(23783416::numeric);
|
|
pg_lsn
|
|
-----------
|
|
0/16AE7F8
|
|
(1 row)
|
|
|
|
SELECT pg_lsn(0::numeric);
|
|
pg_lsn
|
|
--------
|
|
0/0
|
|
(1 row)
|
|
|
|
SELECT pg_lsn(18446744073709551615::numeric);
|
|
pg_lsn
|
|
-------------------
|
|
FFFFFFFF/FFFFFFFF
|
|
(1 row)
|
|
|
|
SELECT pg_lsn(-1::numeric);
|
|
ERROR: pg_lsn out of range
|
|
SELECT pg_lsn(18446744073709551616::numeric);
|
|
ERROR: pg_lsn out of range
|
|
SELECT pg_lsn('NaN'::numeric);
|
|
ERROR: cannot convert NaN to pg_lsn
|