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-rw-r--r--src/test/regress/expected/numeric.out2466
1 files changed, 2466 insertions, 0 deletions
diff --git a/src/test/regress/expected/numeric.out b/src/test/regress/expected/numeric.out
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+++ b/src/test/regress/expected/numeric.out
@@ -0,0 +1,2466 @@
+--
+-- 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)
+
+-- ******************************
+-- * 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 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');
+SELECT * FROM fract_only;
+ id | val
+----+---------
+ 1 | 0.0000
+ 2 | 0.1000
+ 4 | -0.9999
+ 5 | 0.9999
+ 7 | 0.0000
+ 8 | 0.0002
+(6 rows)
+
+DROP TABLE fract_only;
+-- 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;
+ERROR: cannot convert infinity to numeric
+SELECT '-Infinity'::float8::numeric;
+ERROR: cannot convert infinity to numeric
+SELECT 'NaN'::float4::numeric;
+ numeric
+---------
+ NaN
+(1 row)
+
+SELECT 'Infinity'::float4::numeric;
+ERROR: cannot convert infinity to numeric
+SELECT '-Infinity'::float4::numeric;
+ERROR: cannot convert infinity to numeric
+-- 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
+-- 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)
+
+-- for float8 only, check positive and negative infinity: we require
+-- finite bucket bounds, but allow an infinite operand
+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;
+-- TO_CHAR()
+--
+SELECT '' AS to_char_1, to_char(val, '9G999G999G999G999G999')
+ FROM num_data;
+ to_char_1 | to_char
+-----------+------------------------
+ | 0
+ | 0
+ | -34,338,492
+ | 4
+ | 7,799,461
+ | 16,397
+ | 93,902
+ | -83,028,485
+ | 74,881
+ | -24,926,804
+(10 rows)
+
+SELECT '' AS to_char_2, to_char(val, '9G999G999G999G999G999D999G999G999G999G999')
+ FROM num_data;
+ to_char_2 | to_char
+-----------+--------------------------------------------
+ | .000,000,000,000,000
+ | .000,000,000,000,000
+ | -34,338,492.215,397,047,000,000
+ | 4.310,000,000,000,000
+ | 7,799,461.411,900,000,000,000
+ | 16,397.038,491,000,000,000
+ | 93,901.577,630,260,000,000
+ | -83,028,485.000,000,000,000,000
+ | 74,881.000,000,000,000,000
+ | -24,926,804.045,047,420,000,000
+(10 rows)
+
+SELECT '' AS to_char_3, to_char(val, '9999999999999999.999999999999999PR')
+ FROM num_data;
+ to_char_3 | to_char
+-----------+------------------------------------
+ | .000000000000000
+ | .000000000000000
+ | <34338492.215397047000000>
+ | 4.310000000000000
+ | 7799461.411900000000000
+ | 16397.038491000000000
+ | 93901.577630260000000
+ | <83028485.000000000000000>
+ | 74881.000000000000000
+ | <24926804.045047420000000>
+(10 rows)
+
+SELECT '' AS to_char_4, to_char(val, '9999999999999999.999999999999999S')
+ FROM num_data;
+ to_char_4 | to_char
+-----------+-----------------------------------
+ | .000000000000000+
+ | .000000000000000+
+ | 34338492.215397047000000-
+ | 4.310000000000000+
+ | 7799461.411900000000000+
+ | 16397.038491000000000+
+ | 93901.577630260000000+
+ | 83028485.000000000000000-
+ | 74881.000000000000000+
+ | 24926804.045047420000000-
+(10 rows)
+
+SELECT '' AS to_char_5, to_char(val, 'MI9999999999999999.999999999999999') FROM num_data;
+ to_char_5 | to_char
+-----------+-----------------------------------
+ | .000000000000000
+ | .000000000000000
+ | - 34338492.215397047000000
+ | 4.310000000000000
+ | 7799461.411900000000000
+ | 16397.038491000000000
+ | 93901.577630260000000
+ | - 83028485.000000000000000
+ | 74881.000000000000000
+ | - 24926804.045047420000000
+(10 rows)
+
+SELECT '' AS to_char_6, to_char(val, 'FMS9999999999999999.999999999999999') FROM num_data;
+ to_char_6 | to_char
+-----------+---------------------
+ | +0.
+ | +0.
+ | -34338492.215397047
+ | +4.31
+ | +7799461.4119
+ | +16397.038491
+ | +93901.57763026
+ | -83028485.
+ | +74881.
+ | -24926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_7, to_char(val, 'FM9999999999999999.999999999999999THPR') FROM num_data;
+ to_char_7 | to_char
+-----------+----------------------
+ | 0.
+ | 0.
+ | <34338492.215397047>
+ | 4.31
+ | 7799461.4119
+ | 16397.038491
+ | 93901.57763026
+ | <83028485.>
+ | 74881.
+ | <24926804.04504742>
+(10 rows)
+
+SELECT '' AS to_char_8, to_char(val, 'SG9999999999999999.999999999999999th') FROM num_data;
+ to_char_8 | to_char
+-----------+-----------------------------------
+ | + .000000000000000
+ | + .000000000000000
+ | - 34338492.215397047000000
+ | + 4.310000000000000
+ | + 7799461.411900000000000
+ | + 16397.038491000000000
+ | + 93901.577630260000000
+ | - 83028485.000000000000000
+ | + 74881.000000000000000
+ | - 24926804.045047420000000
+(10 rows)
+
+SELECT '' AS to_char_9, to_char(val, '0999999999999999.999999999999999') FROM num_data;
+ to_char_9 | to_char
+-----------+-----------------------------------
+ | 0000000000000000.000000000000000
+ | 0000000000000000.000000000000000
+ | -0000000034338492.215397047000000
+ | 0000000000000004.310000000000000
+ | 0000000007799461.411900000000000
+ | 0000000000016397.038491000000000
+ | 0000000000093901.577630260000000
+ | -0000000083028485.000000000000000
+ | 0000000000074881.000000000000000
+ | -0000000024926804.045047420000000
+(10 rows)
+
+SELECT '' AS to_char_10, to_char(val, 'S0999999999999999.999999999999999') FROM num_data;
+ to_char_10 | to_char
+------------+-----------------------------------
+ | +0000000000000000.000000000000000
+ | +0000000000000000.000000000000000
+ | -0000000034338492.215397047000000
+ | +0000000000000004.310000000000000
+ | +0000000007799461.411900000000000
+ | +0000000000016397.038491000000000
+ | +0000000000093901.577630260000000
+ | -0000000083028485.000000000000000
+ | +0000000000074881.000000000000000
+ | -0000000024926804.045047420000000
+(10 rows)
+
+SELECT '' AS to_char_11, to_char(val, 'FM0999999999999999.999999999999999') FROM num_data;
+ to_char_11 | to_char
+------------+-----------------------------
+ | 0000000000000000.
+ | 0000000000000000.
+ | -0000000034338492.215397047
+ | 0000000000000004.31
+ | 0000000007799461.4119
+ | 0000000000016397.038491
+ | 0000000000093901.57763026
+ | -0000000083028485.
+ | 0000000000074881.
+ | -0000000024926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_12, to_char(val, 'FM9999999999999999.099999999999999') FROM num_data;
+ to_char_12 | to_char
+------------+---------------------
+ | .0
+ | .0
+ | -34338492.215397047
+ | 4.31
+ | 7799461.4119
+ | 16397.038491
+ | 93901.57763026
+ | -83028485.0
+ | 74881.0
+ | -24926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_13, to_char(val, 'FM9999999999990999.990999999999999') FROM num_data;
+ to_char_13 | to_char
+------------+---------------------
+ | 0000.000
+ | 0000.000
+ | -34338492.215397047
+ | 0004.310
+ | 7799461.4119
+ | 16397.038491
+ | 93901.57763026
+ | -83028485.000
+ | 74881.000
+ | -24926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_14, to_char(val, 'FM0999999999999999.999909999999999') FROM num_data;
+ to_char_14 | to_char
+------------+-----------------------------
+ | 0000000000000000.00000
+ | 0000000000000000.00000
+ | -0000000034338492.215397047
+ | 0000000000000004.31000
+ | 0000000007799461.41190
+ | 0000000000016397.038491
+ | 0000000000093901.57763026
+ | -0000000083028485.00000
+ | 0000000000074881.00000
+ | -0000000024926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_15, to_char(val, 'FM9999999990999999.099999999999999') FROM num_data;
+ to_char_15 | to_char
+------------+---------------------
+ | 0000000.0
+ | 0000000.0
+ | -34338492.215397047
+ | 0000004.31
+ | 7799461.4119
+ | 0016397.038491
+ | 0093901.57763026
+ | -83028485.0
+ | 0074881.0
+ | -24926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_16, to_char(val, 'L9999999999999999.099999999999999') FROM num_data;
+ to_char_16 | to_char
+------------+------------------------------------
+ | .000000000000000
+ | .000000000000000
+ | -34338492.215397047000000
+ | 4.310000000000000
+ | 7799461.411900000000000
+ | 16397.038491000000000
+ | 93901.577630260000000
+ | -83028485.000000000000000
+ | 74881.000000000000000
+ | -24926804.045047420000000
+(10 rows)
+
+SELECT '' AS to_char_17, to_char(val, 'FM9999999999999999.99999999999999') FROM num_data;
+ to_char_17 | to_char
+------------+---------------------
+ | 0.
+ | 0.
+ | -34338492.215397047
+ | 4.31
+ | 7799461.4119
+ | 16397.038491
+ | 93901.57763026
+ | -83028485.
+ | 74881.
+ | -24926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_18, to_char(val, 'S 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 . 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9') FROM num_data;
+ to_char_18 | to_char
+------------+-----------------------------------------------------------------------
+ | +. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+ | +. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+ | -3 4 3 3 8 4 9 2 . 2 1 5 3 9 7 0 4 7 0 0 0 0 0 0 0 0
+ | +4 . 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+ | +7 7 9 9 4 6 1 . 4 1 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0
+ | +1 6 3 9 7 . 0 3 8 4 9 1 0 0 0 0 0 0 0 0 0 0 0
+ | +9 3 9 0 1 . 5 7 7 6 3 0 2 6 0 0 0 0 0 0 0 0 0
+ | -8 3 0 2 8 4 8 5 . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+ | +7 4 8 8 1 . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
+ | -2 4 9 2 6 8 0 4 . 0 4 5 0 4 7 4 2 0 0 0 0 0 0 0 0 0
+(10 rows)
+
+SELECT '' AS to_char_19, to_char(val, 'FMS 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 . 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9') FROM num_data;
+ to_char_19 | to_char
+------------+-------------------------------------------------------
+ | +0 .
+ | +0 .
+ | -3 4 3 3 8 4 9 2 . 2 1 5 3 9 7 0 4 7
+ | +4 . 3 1
+ | +7 7 9 9 4 6 1 . 4 1 1 9
+ | +1 6 3 9 7 . 0 3 8 4 9 1
+ | +9 3 9 0 1 . 5 7 7 6 3 0 2 6
+ | -8 3 0 2 8 4 8 5 .
+ | +7 4 8 8 1 .
+ | -2 4 9 2 6 8 0 4 . 0 4 5 0 4 7 4 2
+(10 rows)
+
+SELECT '' AS to_char_20, to_char(val, E'99999 "text" 9999 "9999" 999 "\\"text between quote marks\\"" 9999') FROM num_data;
+ to_char_20 | to_char
+------------+-----------------------------------------------------------
+ | text 9999 "text between quote marks" 0
+ | text 9999 "text between quote marks" 0
+ | text -3 9999 433 "text between quote marks" 8492
+ | text 9999 "text between quote marks" 4
+ | text 9999 779 "text between quote marks" 9461
+ | text 9999 1 "text between quote marks" 6397
+ | text 9999 9 "text between quote marks" 3902
+ | text -8 9999 302 "text between quote marks" 8485
+ | text 9999 7 "text between quote marks" 4881
+ | text -2 9999 492 "text between quote marks" 6804
+(10 rows)
+
+SELECT '' AS to_char_21, to_char(val, '999999SG9999999999') FROM num_data;
+ to_char_21 | to_char
+------------+-------------------
+ | + 0
+ | + 0
+ | - 34338492
+ | + 4
+ | + 7799461
+ | + 16397
+ | + 93902
+ | - 83028485
+ | + 74881
+ | - 24926804
+(10 rows)
+
+SELECT '' AS to_char_22, to_char(val, 'FM9999999999999999.999999999999999') FROM num_data;
+ to_char_22 | to_char
+------------+---------------------
+ | 0.
+ | 0.
+ | -34338492.215397047
+ | 4.31
+ | 7799461.4119
+ | 16397.038491
+ | 93901.57763026
+ | -83028485.
+ | 74881.
+ | -24926804.04504742
+(10 rows)
+
+SELECT '' AS to_char_23, to_char(val, '9.999EEEE') FROM num_data;
+ to_char_23 | 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)
+
+SELECT '' AS to_char_24, to_char('100'::numeric, 'FM999.9');
+ to_char_24 | to_char
+------------+---------
+ | 100.
+(1 row)
+
+SELECT '' AS to_char_25, to_char('100'::numeric, 'FM999.');
+ to_char_25 | to_char
+------------+---------
+ | 100
+(1 row)
+
+SELECT '' AS to_char_26, to_char('100'::numeric, 'FM999');
+ to_char_26 | to_char
+------------+---------
+ | 100
+(1 row)
+
+-- Check parsing of literal text in a format string
+SELECT '' AS to_char_27, to_char('100'::numeric, 'foo999');
+ to_char_27 | to_char
+------------+---------
+ | foo 100
+(1 row)
+
+SELECT '' AS to_char_28, to_char('100'::numeric, 'f\oo999');
+ to_char_28 | to_char
+------------+----------
+ | f\oo 100
+(1 row)
+
+SELECT '' AS to_char_29, to_char('100'::numeric, 'f\\oo999');
+ to_char_29 | to_char
+------------+-----------
+ | f\\oo 100
+(1 row)
+
+SELECT '' AS to_char_30, to_char('100'::numeric, 'f\"oo999');
+ to_char_30 | to_char
+------------+----------
+ | f"oo 100
+(1 row)
+
+SELECT '' AS to_char_31, to_char('100'::numeric, 'f\\"oo999');
+ to_char_31 | to_char
+------------+-----------
+ | f\"oo 100
+(1 row)
+
+SELECT '' AS to_char_32, to_char('100'::numeric, 'f"ool"999');
+ to_char_32 | to_char
+------------+----------
+ | fool 100
+(1 row)
+
+SELECT '' AS to_char_33, to_char('100'::numeric, 'f"\ool"999');
+ to_char_33 | to_char
+------------+----------
+ | fool 100
+(1 row)
+
+SELECT '' AS to_char_34, to_char('100'::numeric, 'f"\\ool"999');
+ to_char_34 | to_char
+------------+-----------
+ | f\ool 100
+(1 row)
+
+SELECT '' AS to_char_35, to_char('100'::numeric, 'f"ool\"999');
+ to_char_35 | to_char
+------------+----------
+ | fool"999
+(1 row)
+
+SELECT '' AS to_char_36, to_char('100'::numeric, 'f"ool\\"999');
+ to_char_36 | to_char
+------------+-----------
+ | fool\ 100
+(1 row)
+
+-- Test scientific notation with various exponents
+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)
+
+-- TO_NUMBER()
+--
+SET lc_numeric = 'C';
+SELECT '' AS to_number_1, to_number('-34,338,492', '99G999G999');
+ to_number_1 | to_number
+-------------+-----------
+ | -34338492
+(1 row)
+
+SELECT '' AS to_number_2, to_number('-34,338,492.654,878', '99G999G999D999G999');
+ to_number_2 | to_number
+-------------+------------------
+ | -34338492.654878
+(1 row)
+
+SELECT '' AS to_number_3, to_number('<564646.654564>', '999999.999999PR');
+ to_number_3 | to_number
+-------------+----------------
+ | -564646.654564
+(1 row)
+
+SELECT '' AS to_number_4, to_number('0.00001-', '9.999999S');
+ to_number_4 | to_number
+-------------+-----------
+ | -0.00001
+(1 row)
+
+SELECT '' AS to_number_5, to_number('5.01-', 'FM9.999999S');
+ to_number_5 | to_number
+-------------+-----------
+ | -5.01
+(1 row)
+
+SELECT '' AS to_number_5, to_number('5.01-', 'FM9.999999MI');
+ to_number_5 | to_number
+-------------+-----------
+ | -5.01
+(1 row)
+
+SELECT '' AS to_number_7, to_number('5 4 4 4 4 8 . 7 8', '9 9 9 9 9 9 . 9 9');
+ to_number_7 | to_number
+-------------+-----------
+ | 544448.78
+(1 row)
+
+SELECT '' AS to_number_8, to_number('.01', 'FM9.99');
+ to_number_8 | to_number
+-------------+-----------
+ | 0.01
+(1 row)
+
+SELECT '' AS to_number_9, to_number('.0', '99999999.99999999');
+ to_number_9 | to_number
+-------------+-----------
+ | 0.0
+(1 row)
+
+SELECT '' AS to_number_10, to_number('0', '99.99');
+ to_number_10 | to_number
+--------------+-----------
+ | 0
+(1 row)
+
+SELECT '' AS to_number_11, to_number('.-01', 'S99.99');
+ to_number_11 | to_number
+--------------+-----------
+ | -0.01
+(1 row)
+
+SELECT '' AS to_number_12, to_number('.01-', '99.99S');
+ to_number_12 | to_number
+--------------+-----------
+ | -0.01
+(1 row)
+
+SELECT '' AS to_number_13, to_number(' . 0 1-', ' 9 9 . 9 9 S');
+ to_number_13 | to_number
+--------------+-----------
+ | -0.01
+(1 row)
+
+SELECT '' AS to_number_14, to_number('34,50','999,99');
+ to_number_14 | to_number
+--------------+-----------
+ | 3450
+(1 row)
+
+SELECT '' AS to_number_15, to_number('123,000','999G');
+ to_number_15 | to_number
+--------------+-----------
+ | 123
+(1 row)
+
+SELECT '' AS to_number_16, to_number('123456','999G999');
+ to_number_16 | to_number
+--------------+-----------
+ | 123456
+(1 row)
+
+SELECT '' AS to_number_17, to_number('$1234.56','L9,999.99');
+ to_number_17 | to_number
+--------------+-----------
+ | 1234.56
+(1 row)
+
+SELECT '' AS to_number_18, to_number('$1234.56','L99,999.99');
+ to_number_18 | to_number
+--------------+-----------
+ | 1234.56
+(1 row)
+
+SELECT '' AS to_number_19, to_number('$1,234.56','L99,999.99');
+ to_number_19 | to_number
+--------------+-----------
+ | 1234.56
+(1 row)
+
+SELECT '' AS to_number_20, to_number('1234.56','L99,999.99');
+ to_number_20 | to_number
+--------------+-----------
+ | 1234.56
+(1 row)
+
+SELECT '' AS to_number_21, to_number('1,234.56','L99,999.99');
+ to_number_21 | to_number
+--------------+-----------
+ | 1234.56
+(1 row)
+
+SELECT '' AS to_number_22, to_number('42nd', '99th');
+ to_number_22 | 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');
+-- 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 ');
+ ^
+SELECT * FROM num_input_test;
+ n1
+---------
+ 123
+ 3245874
+ -93853
+ 555.50
+ -555.50
+ NaN
+ NaN
+(7 rows)
+
+--
+-- 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
+--------------------
+ 0.0000000000000000
+(1 row)
+
+select 10.0 ^ -2147483647 as rounds_to_zero;
+ rounds_to_zero
+--------------------
+ 0.0000000000000000
+(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;
+ ?column?
+--------------------------------
+ 1409343026052.8716016316022141
+(1 row)
+
+select 3.789 ^ 35;
+ ?column?
+----------------------------------------
+ 177158169650516670809.3820586142670135
+(1 row)
+
+select 1.2 ^ 345;
+ ?column?
+-----------------------------------------------
+ 2077446682327378559843444695.5827049735727869
+(1 row)
+
+select 0.12 ^ (-20);
+ ?column?
+--------------------------------------
+ 2608405330458882702.5529619561355838
+(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)
+
+-- cases that used to error out
+select 0.12 ^ (-25);
+ ?column?
+-------------------------------------------
+ 104825960103961013959336.4983657883169110
+(1 row)
+
+select 0.5678 ^ (-85);
+ ?column?
+----------------------------------------
+ 782333637740774446257.7719390061997396
+(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)
+
+--
+-- 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?
+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ 307239295662090741644584872593956173493568238595074141254349565406661439636598896798876823220904084953233015553994854875890890858118656468658643918169805277399402542281777901029346337707622181574346585989613344285010764501017625366742865066948856161360224801370482171458030533346309750557140549621313515752078638620714732831815297168231790779296290266207315344008883935010274044001522606235576584215999260117523114297033944018699691024106823438431754073086813382242140602291215149759520833200152654884259619588924545324.5973362312547382
+(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 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
+-- 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(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(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(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 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)) 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
+(6 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)) 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
+(7 rows)
+
+SELECT lcm(9999 * (10::numeric)^131068 + (10::numeric^131068 - 1), 2); -- overflow
+ERROR: value overflows numeric format
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-17 20:26:10 +0000