diff options
| author | Maxim Yurchuk <maxim-yurchuk@ydb.tech> | 2024-11-20 17:37:57 +0000 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2024-11-20 17:37:57 +0000 |
| commit | f76323e9b295c15751e51e3443aa47a36bee8023 (patch) | |
| tree | 4113c8cad473a33e0f746966e0cf087252fa1d7a /yql/essentials/tests/postgresql/original/cases/numeric.sql | |
| parent | 753ecb8d410a4cb459c26f3a0082fb2d1724fe63 (diff) | |
| parent | a7b9a6afea2a9d7a7bfac4c5eb4c1a8e60adb9e6 (diff) | |
| download | ydb-f76323e9b295c15751e51e3443aa47a36bee8023.tar.gz | |
Merge pull request #11788 from ydb-platform/mergelibs-241120-1113
Library import 241120-1113
Diffstat (limited to 'yql/essentials/tests/postgresql/original/cases/numeric.sql')
| -rw-r--r-- | yql/essentials/tests/postgresql/original/cases/numeric.sql | 1365 |
1 files changed, 1365 insertions, 0 deletions
diff --git a/yql/essentials/tests/postgresql/original/cases/numeric.sql b/yql/essentials/tests/postgresql/original/cases/numeric.sql new file mode 100644 index 0000000000..9233c666d4 --- /dev/null +++ b/yql/essentials/tests/postgresql/original/cases/numeric.sql @@ -0,0 +1,1365 @@ +-- +-- 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'); 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+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; + +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); + +-- ****************************** +-- * 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; + +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); + +-- ****************************** +-- * 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; + +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); + +-- ****************************** +-- * 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; + +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); + +-- ****************************** +-- * 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; + +-- ****************************** +-- * 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; + +-- ****************************** +-- * 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; + +-- ****************************** +-- * 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; + +-- ****************************** +-- * 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); + +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; + +SELECT 'inf'::numeric / '0'; +SELECT '-inf'::numeric / '0'; +SELECT 'nan'::numeric / '0'; +SELECT '0'::numeric / '0'; +SELECT 'inf'::numeric % '0'; +SELECT '-inf'::numeric % '0'; +SELECT 'nan'::numeric % '0'; +SELECT '0'::numeric % '0'; +SELECT div('inf'::numeric, '0'); +SELECT div('-inf'::numeric, '0'); +SELECT div('nan'::numeric, '0'); +SELECT div('0'::numeric, '0'); + +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; + +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; + +-- 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; + +WITH v(x) AS + (VALUES('0'::numeric),('1'),('4.2'),('inf'),('nan')) +SELECT x, sqrt(x) +FROM v; + +SELECT sqrt('-1'::numeric); +SELECT sqrt('-inf'::numeric); + +WITH v(x) AS + (VALUES('1'::numeric),('4.2'),('inf'),('nan')) +SELECT x, + log(x), + log10(x), + ln(x) +FROM v; + +SELECT ln('0'::numeric); +SELECT ln('-1'::numeric); +SELECT ln('-inf'::numeric); + +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); + +SELECT log('0'::numeric, '10'); +SELECT log('10'::numeric, '0'); +SELECT log('-inf'::numeric, '10'); +SELECT log('10'::numeric, '-inf'); +SELECT log('inf'::numeric, '0'); +SELECT log('inf'::numeric, '-inf'); +SELECT log('-inf'::numeric, 'inf'); + +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; + +SELECT power('0'::numeric, '-1'); +SELECT power('0'::numeric, '-inf'); +SELECT power('-1'::numeric, 'inf'); +SELECT power('-2'::numeric, '3'); +SELECT power('-2'::numeric, '3.3'); +SELECT power('-2'::numeric, '-1'); +SELECT power('-2'::numeric, '-1.5'); +SELECT power('-2'::numeric, 'inf'); +SELECT power('-2'::numeric, '-inf'); +SELECT power('inf'::numeric, '-2'); +SELECT power('inf'::numeric, '-inf'); +SELECT power('-inf'::numeric, '2'); +SELECT power('-inf'::numeric, '3'); +SELECT power('-inf'::numeric, '4.5'); +SELECT power('-inf'::numeric, '-2'); +SELECT power('-inf'::numeric, '-3'); +SELECT power('-inf'::numeric, '0'); +SELECT power('-inf'::numeric, 'inf'); +SELECT power('-inf'::numeric, '-inf'); + +-- ****************************** +-- * 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; +SELECT MAX(val) FROM num_data; +SELECT MIN(val) FROM num_data; +SELECT STDDEV(val) FROM num_data; +SELECT VARIANCE(val) FROM num_data; + +-- 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 +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 +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 +INSERT INTO fract_only VALUES (11, '-Inf'); -- should fail +SELECT * FROM fract_only; +DROP TABLE fract_only; + +-- Check conversion to integers +SELECT (-9223372036854775808.5)::int8; -- should fail +SELECT (-9223372036854775808.4)::int8; -- ok +SELECT 9223372036854775807.4::int8; -- ok +SELECT 9223372036854775807.5::int8; -- should fail +SELECT (-2147483648.5)::int4; -- should fail +SELECT (-2147483648.4)::int4; -- ok +SELECT 2147483647.4::int4; -- ok +SELECT 2147483647.5::int4; -- should fail +SELECT (-32768.5)::int2; -- should fail +SELECT (-32768.4)::int2; -- ok +SELECT 32767.4::int2; -- ok +SELECT 32767.5::int2; -- should fail + +-- Check inf/nan conversion behavior +SELECT 'NaN'::float8::numeric; +SELECT 'Infinity'::float8::numeric; +SELECT '-Infinity'::float8::numeric; +SELECT 'NaN'::numeric::float8; +SELECT 'Infinity'::numeric::float8; +SELECT '-Infinity'::numeric::float8; +SELECT 'NaN'::float4::numeric; +SELECT 'Infinity'::float4::numeric; +SELECT '-Infinity'::float4::numeric; +SELECT 'NaN'::numeric::float4; +SELECT 'Infinity'::numeric::float4; +SELECT '-Infinity'::numeric::float4; +SELECT '42'::int2::numeric; +SELECT 'NaN'::numeric::int2; +SELECT 'Infinity'::numeric::int2; +SELECT '-Infinity'::numeric::int2; +SELECT 'NaN'::numeric::int4; +SELECT 'Infinity'::numeric::int4; +SELECT '-Infinity'::numeric::int4; +SELECT 'NaN'::numeric::int8; +SELECT 'Infinity'::numeric::int8; +SELECT '-Infinity'::numeric::int8; + +-- 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; +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); + +-- 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); +SELECT width_bucket(5.0, 3.0, 4.0, -5); +SELECT width_bucket(3.5, 3.0, 3.0, 888); +SELECT width_bucket(5.0::float8, 3.0::float8, 4.0::float8, 0); +SELECT width_bucket(5.0::float8, 3.0::float8, 4.0::float8, -5); +SELECT width_bucket(3.5::float8, 3.0::float8, 3.0::float8, 888); +SELECT width_bucket('NaN', 3.0, 4.0, 888); +SELECT width_bucket(0::float8, 'NaN', 4.0::float8, 888); +SELECT width_bucket(2.0, 3.0, '-inf', 888); +SELECT width_bucket(0::float8, '-inf', 4.0::float8, 888); + +-- normal operation +CREATE TABLE width_bucket_test (operand_num numeric, operand_f8 float8); + +COPY width_bucket_test (operand_num) FROM stdin; +-5.2 +-0.0000000001 +0.000000000001 +1 +1.99999999999999 +2 +2.00000000000001 +3 +4 +4.5 +5 +5.5 +6 +7 +8 +9 +9.99999999999999 +10 +10.0000000000001 +\. + +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; + +-- 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 +SELECT width_bucket(0.0::numeric, 5, '-Infinity'::numeric, 20); -- error +SELECT width_bucket('Infinity'::numeric, 1, 10, 10), + width_bucket('-Infinity'::numeric, 1, 10, 10); +SELECT width_bucket(0.0::float8, 'Infinity'::float8, 5, 10); -- error +SELECT width_bucket(0.0::float8, 5, '-Infinity'::float8, 20); -- error +SELECT width_bucket('Infinity'::float8, 1, 10, 10), + width_bucket('-Infinity'::float8, 1, 10, 10); + +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; +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; + +-- +-- TO_CHAR() +-- +SELECT to_char(val, '9G999G999G999G999G999') + FROM num_data; + +SELECT to_char(val, '9G999G999G999G999G999D999G999G999G999G999') + FROM num_data; + +SELECT to_char(val, '9999999999999999.999999999999999PR') + FROM num_data; + +SELECT to_char(val, '9999999999999999.999999999999999S') + FROM num_data; + +SELECT to_char(val, 'MI9999999999999999.999999999999999') FROM num_data; +SELECT to_char(val, 'FMS9999999999999999.999999999999999') FROM num_data; +SELECT to_char(val, 'FM9999999999999999.999999999999999THPR') FROM num_data; +SELECT to_char(val, 'SG9999999999999999.999999999999999th') FROM num_data; +SELECT to_char(val, '0999999999999999.999999999999999') FROM num_data; +SELECT to_char(val, 'S0999999999999999.999999999999999') FROM num_data; +SELECT to_char(val, 'FM0999999999999999.999999999999999') FROM num_data; +SELECT to_char(val, 'FM9999999999999999.099999999999999') FROM num_data; +SELECT to_char(val, 'FM9999999999990999.990999999999999') FROM num_data; +SELECT to_char(val, 'FM0999999999999999.999909999999999') FROM num_data; +SELECT to_char(val, 'FM9999999990999999.099999999999999') FROM num_data; +SELECT to_char(val, 'L9999999999999999.099999999999999') FROM num_data; +SELECT to_char(val, 'FM9999999999999999.99999999999999') FROM num_data; +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; +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; +SELECT to_char(val, E'99999 "text" 9999 "9999" 999 "\\"text between quote marks\\"" 9999') FROM num_data; +SELECT to_char(val, '999999SG9999999999') FROM num_data; +SELECT to_char(val, 'FM9999999999999999.999999999999999') FROM num_data; +SELECT to_char(val, '9.999EEEE') FROM num_data; + +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; + +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; + +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; + +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; + +SELECT to_char('100'::numeric, 'FM999.9'); +SELECT to_char('100'::numeric, 'FM999.'); +SELECT to_char('100'::numeric, 'FM999'); + +-- Check parsing of literal text in a format string +SELECT to_char('100'::numeric, 'foo999'); +SELECT to_char('100'::numeric, 'f\oo999'); +SELECT to_char('100'::numeric, 'f\\oo999'); +SELECT to_char('100'::numeric, 'f\"oo999'); +SELECT to_char('100'::numeric, 'f\\"oo999'); +SELECT to_char('100'::numeric, 'f"ool"999'); +SELECT to_char('100'::numeric, 'f"\ool"999'); +SELECT to_char('100'::numeric, 'f"\\ool"999'); +SELECT to_char('100'::numeric, 'f"ool\"999'); +SELECT to_char('100'::numeric, 'f"ool\\"999'); + +-- TO_NUMBER() +-- +SET lc_numeric = 'C'; +SELECT to_number('-34,338,492', '99G999G999'); +SELECT to_number('-34,338,492.654,878', '99G999G999D999G999'); +SELECT to_number('<564646.654564>', '999999.999999PR'); +SELECT to_number('0.00001-', '9.999999S'); +SELECT to_number('5.01-', 'FM9.999999S'); +SELECT to_number('5.01-', 'FM9.999999MI'); +SELECT to_number('5 4 4 4 4 8 . 7 8', '9 9 9 9 9 9 . 9 9'); +SELECT to_number('.01', 'FM9.99'); +SELECT to_number('.0', '99999999.99999999'); +SELECT to_number('0', '99.99'); +SELECT to_number('.-01', 'S99.99'); +SELECT to_number('.01-', '99.99S'); +SELECT to_number(' . 0 1-', ' 9 9 . 9 9 S'); +SELECT to_number('34,50','999,99'); +SELECT to_number('123,000','999G'); +SELECT to_number('123456','999G999'); +SELECT to_number('$1234.56','L9,999.99'); +SELECT to_number('$1234.56','L99,999.99'); +SELECT to_number('$1,234.56','L99,999.99'); +SELECT to_number('1234.56','L99,999.99'); +SELECT to_number('1,234.56','L99,999.99'); +SELECT to_number('42nd', '99th'); +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 '); + +-- bad inputs +INSERT INTO num_input_test(n1) VALUES (' '); +INSERT INTO num_input_test(n1) VALUES (' 1234 %'); +INSERT INTO num_input_test(n1) VALUES ('xyz'); +INSERT INTO num_input_test(n1) VALUES ('- 1234'); +INSERT INTO num_input_test(n1) VALUES ('5 . 0'); +INSERT INTO num_input_test(n1) VALUES ('5. 0 '); +INSERT INTO num_input_test(n1) VALUES (''); +INSERT INTO num_input_test(n1) VALUES (' N aN '); +INSERT INTO num_input_test(n1) VALUES ('+ infinity'); + +SELECT * FROM num_input_test; + +-- +-- Test some corner cases for multiplication +-- + +select 4790999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999; + +select 4789999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999; + +select 4770999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999; + +select 4769999999999999999999999999999999999999999999999999999999999999999999999999999999999999 * 9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999; + +select trim_scale((0.1 - 2e-16383) * (0.1 - 3e-16383)); + +-- +-- Test some corner cases for division +-- + +select 999999999999999999999::numeric/1000000000000000000000; +select div(999999999999999999999::numeric,1000000000000000000000); +select mod(999999999999999999999::numeric,1000000000000000000000); +select div(-9999999999999999999999::numeric,1000000000000000000000); +select mod(-9999999999999999999999::numeric,1000000000000000000000); +select div(-9999999999999999999999::numeric,1000000000000000000000)*1000000000000000000000 + mod(-9999999999999999999999::numeric,1000000000000000000000); +select mod (70.0,70) ; +select div (70.0,70) ; +select 70.0 / 70 ; +select 12345678901234567890 % 123; +select 12345678901234567890 / 123; +select div(12345678901234567890, 123); +select div(12345678901234567890, 123) * 123 + 12345678901234567890 % 123; + +-- +-- Test some corner cases for square root +-- + +select sqrt(1.000000000000003::numeric); +select sqrt(1.000000000000004::numeric); +select sqrt(96627521408608.56340355805::numeric); +select sqrt(96627521408608.56340355806::numeric); +select sqrt(515549506212297735.073688290367::numeric); +select sqrt(515549506212297735.073688290368::numeric); +select sqrt(8015491789940783531003294973900306::numeric); +select sqrt(8015491789940783531003294973900307::numeric); + +-- +-- Test code path for raising to integer powers +-- + +select 10.0 ^ -2147483648 as rounds_to_zero; +select 10.0 ^ -2147483647 as rounds_to_zero; +select 10.0 ^ 2147483647 as overflows; +select 117743296169.0 ^ 1000000000 as overflows; + +-- cases that used to return inaccurate results +select 3.789 ^ 21; +select 3.789 ^ 35; +select 1.2 ^ 345; +select 0.12 ^ (-20); +select 1.000000000123 ^ (-2147483648); +select coalesce(nullif(0.9999999999 ^ 23300000000000, 0), 0) as rounds_to_zero; +select round(((1 - 1.500012345678e-1000) ^ 1.45e1003) * 1e1000); + +-- cases that used to error out +select 0.12 ^ (-25); +select 0.5678 ^ (-85); +select coalesce(nullif(0.9999999999 ^ 70000000000000, 0), 0) as underflows; + +-- negative base to integer powers +select (-1.0) ^ 2147483646; +select (-1.0) ^ 2147483647; +select (-1.0) ^ 2147483648; +select (-1.0) ^ 1000000000000000; +select (-1.0) ^ 1000000000000001; + +-- +-- Tests for raising to non-integer powers +-- + +-- special cases +select 0.0 ^ 0.0; +select (-12.34) ^ 0.0; +select 12.34 ^ 0.0; +select 0.0 ^ 12.34; + +-- NaNs +select 'NaN'::numeric ^ 'NaN'::numeric; +select 'NaN'::numeric ^ 0; +select 'NaN'::numeric ^ 1; +select 0 ^ 'NaN'::numeric; +select 1 ^ 'NaN'::numeric; + +-- invalid inputs +select 0.0 ^ (-12.34); +select (-12.34) ^ 1.2; + +-- cases that used to generate inaccurate results +select 32.1 ^ 9.8; +select 32.1 ^ (-9.8); +select 12.3 ^ 45.6; +select 12.3 ^ (-45.6); + +-- big test +select 1.234 ^ 5678; + +-- +-- Tests for EXP() +-- + +-- special cases +select exp(0.0); +select exp(1.0); +select exp(1.0::numeric(71,70)); +select exp('nan'::numeric); +select exp('inf'::numeric); +select exp('-inf'::numeric); +select coalesce(nullif(exp(-5000::numeric), 0), 0) as rounds_to_zero; +select coalesce(nullif(exp(-10000::numeric), 0), 0) as underflows; + +-- cases that used to generate inaccurate results +select exp(32.999); +select exp(-32.999); +select exp(123.456); +select exp(-123.456); + +-- big test +select exp(1234.5678); + +-- +-- Tests for generate_series +-- +select * from generate_series(0.0::numeric, 4.0::numeric); +select * from generate_series(0.1::numeric, 4.0::numeric, 1.3::numeric); +select * from generate_series(4.0::numeric, -1.5::numeric, -2.2::numeric); +-- Trigger errors +select * from generate_series(-100::numeric, 100::numeric, 0::numeric); +select * from generate_series(-100::numeric, 100::numeric, 'nan'::numeric); +select * from generate_series('nan'::numeric, 100::numeric, 10::numeric); +select * from generate_series(0::numeric, 'nan'::numeric, 10::numeric); +select * from generate_series('inf'::numeric, 'inf'::numeric, 10::numeric); +select * from generate_series(0::numeric, 'inf'::numeric, 10::numeric); +select * from generate_series(0::numeric, '42'::numeric, '-inf'::numeric); +-- 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); +-- Check usage with variables +select * from generate_series(1::numeric, 3::numeric) i, generate_series(i,3) j; +select * from generate_series(1::numeric, 3::numeric) i, generate_series(1,i) j; +select * from generate_series(1::numeric, 3::numeric) i, generate_series(1,5,i) j; + +-- +-- Tests for LN() +-- + +-- Invalid inputs +select ln(-12.34); +select ln(0.0); + +-- Some random tests +select ln(1.2345678e-28); +select ln(0.0456789); +select ln(0.349873948359354029493948309745709580730482050975); +select ln(0.99949452); +select ln(1.00049687395); +select ln(1234.567890123456789); +select ln(5.80397490724e5); +select ln(9.342536355e34); + +-- +-- Tests for LOG() (base 10) +-- + +-- invalid inputs +select log(-12.34); +select log(0.0); + +-- some random tests +select log(1.234567e-89); +select log(3.4634998359873254962349856073435545); +select log(9.999999999999999999); +select log(10.00000000000000000); +select log(10.00000000000000001); +select log(590489.45235237); + +-- +-- Tests for LOG() (arbitrary base) +-- + +-- invalid inputs +select log(-12.34, 56.78); +select log(-12.34, -56.78); +select log(12.34, -56.78); +select log(0.0, 12.34); +select log(12.34, 0.0); +select log(1.0, 12.34); + +-- some random tests +select log(1.23e-89, 6.4689e45); +select log(0.99923, 4.58934e34); +select log(1.000016, 8.452010e18); +select log(3.1954752e47, 9.4792021e-73); + +-- +-- Tests for scale() +-- + +select scale(numeric 'NaN'); +select scale(numeric 'inf'); +select scale(NULL::numeric); +select scale(1.12); +select scale(0); +select scale(0.00); +select scale(1.12345); +select scale(110123.12475871856128); +select scale(-1123.12471856128); +select scale(-13.000000000000000); + +-- +-- Tests for min_scale() +-- + +select min_scale(numeric 'NaN') is NULL; -- should be true +select min_scale(numeric 'inf') is NULL; -- should be true +select min_scale(0); -- no digits +select min_scale(0.00); -- no digits again +select min_scale(1.0); -- no scale +select min_scale(1.1); -- scale 1 +select min_scale(1.12); -- scale 2 +select min_scale(1.123); -- scale 3 +select min_scale(1.1234); -- scale 4, filled digit +select min_scale(1.12345); -- scale 5, 2 NDIGITS +select min_scale(1.1000); -- 1 pos in NDIGITS +select min_scale(1e100); -- very big number + +-- +-- Tests for trim_scale() +-- + +select trim_scale(numeric 'NaN'); +select trim_scale(numeric 'inf'); +select trim_scale(1.120); +select trim_scale(0); +select trim_scale(0.00); +select trim_scale(1.1234500); +select trim_scale(110123.12475871856128000); +select trim_scale(-1123.124718561280000000); +select trim_scale(-13.00000000000000000000); +select trim_scale(1e100); + +-- +-- Tests for SUM() +-- + +-- cases that need carry propagation +SELECT SUM(9999::numeric) FROM generate_series(1, 100000); +SELECT SUM((-9999)::numeric) FROM generate_series(1, 100000); + +-- +-- 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); + +-- +-- 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); + +SELECT lcm(9999 * (10::numeric)^131068 + (10::numeric^131068 - 1), 2); -- overflow + +-- +-- Tests for factorial +-- +SELECT factorial(4); +SELECT factorial(15); +SELECT factorial(100000); +SELECT factorial(0); +SELECT factorial(-4); + +-- +-- Tests for pg_lsn() +-- +SELECT pg_lsn(23783416::numeric); +SELECT pg_lsn(0::numeric); +SELECT pg_lsn(18446744073709551615::numeric); +SELECT pg_lsn(-1::numeric); +SELECT pg_lsn(18446744073709551616::numeric); +SELECT pg_lsn('NaN'::numeric); |