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Welford algorithm for STD and VAR
Naive algorithm for calculating STD and VAR is subject to catastrophic cancellation. A well-known Welford's algorithms is used instead.
This commit is contained in:
Andrey Piskunov
217
mysql-test/columnstore/basic/r/std_aggregate_columnstore.result
Normal file
217
mysql-test/columnstore/basic/r/std_aggregate_columnstore.result
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@ -0,0 +1,217 @@
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DROP DATABASE IF EXISTS std_test_db;
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CREATE DATABASE std_test_db;
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USE std_test_db;
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create table t1 (
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col_signed tinyint,
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col_unsigned tinyint unsigned
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)engine=columnstore;
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LOAD DATA LOCAL infile 'MTR_SUITE_DIR/../std_data/tinyint_range.tbl' INTO TABLE t1 FIELDS TERMINATED BY '|';;
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ALTER TABLE t1 ADD COLUMN col_small_signed SMALLINT;
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ALTER TABLE t1 ADD COLUMN col_small_unsigned SMALLINT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_med_signed MEDIUMINT;
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ALTER TABLE t1 ADD COLUMN col_med_unsigned MEDIUMINT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_int_signed INT;
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ALTER TABLE t1 ADD COLUMN col_int_unsigned INT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_big_signed BIGINT;
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ALTER TABLE t1 ADD COLUMN col_big_unsigned BIGINT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_dec_signed DECIMAL(38,0);
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ALTER TABLE t1 ADD COLUMN col_dec_unsigned DECIMAL(38,0) UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_float_signed FLOAT;
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ALTER TABLE t1 ADD COLUMN col_float_unsigned FLOAT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_double_signed DOUBLE;
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ALTER TABLE t1 ADD COLUMN col_double_unsigned DOUBLE UNSIGNED;
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UPDATE t1 SET col_small_signed=col_signed + sign(col_signed) * 32000;
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UPDATE t1 SET col_small_unsigned=col_unsigned + 65000;
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UPDATE t1 SET col_med_signed=col_signed + sign(col_signed) * 8388000;
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UPDATE t1 SET col_med_unsigned=col_unsigned + 16776000;
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UPDATE t1 SET col_int_signed=col_signed + sign(col_signed) * 2147483000;
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UPDATE t1 SET col_int_unsigned=col_unsigned + 4294000000;
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UPDATE t1 SET col_big_signed=col_signed + sign(col_signed) * 9223372036854775000;
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UPDATE t1 SET col_big_unsigned=col_unsigned + 18446744073709551000;
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UPDATE t1 SET col_dec_signed=col_signed + sign(col_signed) * 800000000000000000000000000000000001;
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UPDATE t1 SET col_dec_unsigned=col_unsigned + 800000000000000000000000000000000003;
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UPDATE t1 SET col_float_signed=col_signed + 0.637 + sign(col_signed) * 8388000;
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UPDATE t1 SET col_float_unsigned=col_unsigned + 0.637 + 16776000;
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UPDATE t1 SET col_double_signed=col_signed + 0.637 + sign(col_signed) * 2147483000;
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UPDATE t1 SET col_double_unsigned=col_unsigned + 0.637 + 4294000000;
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SELECT 'q1', floor(STD(col_signed)) FROM t1;
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q1 floor(STD(col_signed))
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q1 73
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SELECT 'q2', floor(STD(col_unsigned)) FROM t1;
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q2 floor(STD(col_unsigned))
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q2 73
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SELECT 'q3', floor(STD(col_small_signed)) FROM t1;
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q3 floor(STD(col_small_signed))
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q3 32000
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SELECT 'q4', floor(STD(col_small_unsigned)) FROM t1;
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q4 floor(STD(col_small_unsigned))
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q4 73
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SELECT 'q5', floor(STD(col_med_signed)) FROM t1;
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q5 floor(STD(col_med_signed))
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q5 8371470
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SELECT 'q6', floor(STD(col_med_unsigned)) FROM t1;
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q6 floor(STD(col_med_unsigned))
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q6 73
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SELECT 'q7', floor(STD(col_int_signed)) FROM t1;
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q7 floor(STD(col_int_signed))
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q7 2143234889
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SELECT 'q8', floor(STD(col_int_unsigned)) FROM t1;
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q8 floor(STD(col_int_unsigned))
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q8 73
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SELECT 'q9', floor(STD(col_big_signed)) FROM t1;
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q9 floor(STD(col_big_signed))
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q9 9205126264421172000
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SELECT 'q10', floor(STD(col_big_unsigned)) FROM t1;
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q10 floor(STD(col_big_unsigned))
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q10 73
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SELECT 'q11', floor(STD(col_dec_signed)) FROM t1;
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q11 floor(STD(col_dec_signed))
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q11 798417431511104800000000000000000000
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SELECT 'q13', floor(STD(col_float_signed)) FROM t1;
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q13 floor(STD(col_float_signed))
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q13 8371470
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SELECT 'q14', floor(STD(col_float_unsigned)) FROM t1;
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q14 floor(STD(col_float_unsigned))
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q14 73
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SELECT 'q15', floor(STD(col_double_signed)) FROM t1;
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q15 floor(STD(col_double_signed))
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q15 2143234889
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SELECT 'q16', floor(STD(col_double_unsigned)) FROM t1;
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q16 floor(STD(col_double_unsigned))
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q16 73
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SELECT 'q17', floor(STDDEV_SAMP(col_signed)) FROM t1;
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q17 floor(STDDEV_SAMP(col_signed))
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q17 73
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SELECT 'q18', floor(STDDEV_SAMP(col_unsigned)) FROM t1;
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q18 floor(STDDEV_SAMP(col_unsigned))
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q18 73
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SELECT 'q19', floor(STDDEV_SAMP(col_small_signed)) FROM t1;
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q19 floor(STDDEV_SAMP(col_small_signed))
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q19 32063
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SELECT 'q20', floor(STDDEV_SAMP(col_small_unsigned)) FROM t1;
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q20 floor(STDDEV_SAMP(col_small_unsigned))
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q20 73
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SELECT 'q21', floor(STDDEV_SAMP(col_med_signed)) FROM t1;
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q21 floor(STDDEV_SAMP(col_med_signed))
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q21 8387998
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SELECT 'q22', floor(STDDEV_SAMP(col_med_unsigned)) FROM t1;
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q22 floor(STDDEV_SAMP(col_med_unsigned))
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q22 73
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SELECT 'q23', floor(STDDEV_SAMP(col_int_signed)) FROM t1;
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q23 floor(STDDEV_SAMP(col_int_signed))
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q23 2147466354
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SELECT 'q24', floor(STDDEV_SAMP(col_int_unsigned)) FROM t1;
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q24 floor(STDDEV_SAMP(col_int_unsigned))
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q24 73
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SELECT 'q25', floor(STDDEV_SAMP(col_big_signed)) FROM t1;
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q25 floor(STDDEV_SAMP(col_big_signed))
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q25 9223300272764652000
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SELECT 'q26', floor(STDDEV_SAMP(col_big_unsigned)) FROM t1;
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q26 floor(STDDEV_SAMP(col_big_unsigned))
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q26 73
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SELECT 'q27', floor(STDDEV_SAMP(col_dec_signed)) FROM t1;
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q27 floor(STDDEV_SAMP(col_dec_signed))
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q27 799993775457406500000000000000000000
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SELECT 'q29', floor(STDDEV_SAMP(col_float_signed)) FROM t1;
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q29 floor(STDDEV_SAMP(col_float_signed))
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q29 8387998
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SELECT 'q30', floor(STDDEV_SAMP(col_float_unsigned)) FROM t1;
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q30 floor(STDDEV_SAMP(col_float_unsigned))
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q30 73
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SELECT 'q31', floor(STDDEV_SAMP(col_double_signed)) FROM t1;
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q31 floor(STDDEV_SAMP(col_double_signed))
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q31 2147466354
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SELECT 'q32', floor(STDDEV_SAMP(col_double_unsigned)) FROM t1;
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q32 floor(STDDEV_SAMP(col_double_unsigned))
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q32 73
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SELECT 'q33', floor(VAR_POP(col_signed)) FROM t1;
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q33 floor(VAR_POP(col_signed))
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q33 5376
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SELECT 'q34', floor(VAR_POP(col_unsigned)) FROM t1;
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q34 floor(VAR_POP(col_unsigned))
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q34 5376
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SELECT 'q35', floor(VAR_POP(col_small_signed)) FROM t1;
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q35 floor(VAR_POP(col_small_signed))
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q35 1024021882
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SELECT 'q36', floor(VAR_POP(col_small_unsigned)) FROM t1;
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q36 floor(VAR_POP(col_small_unsigned))
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q36 5376
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SELECT 'q37', floor(VAR_POP(col_med_signed)) FROM t1;
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q37 floor(VAR_POP(col_med_signed))
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q37 70081516547007
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SELECT 'q38', floor(VAR_POP(col_med_unsigned)) FROM t1;
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q38 floor(VAR_POP(col_med_unsigned))
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q38 5376
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SELECT 'q39', floor(VAR_POP(col_int_signed)) FROM t1;
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q39 floor(VAR_POP(col_int_signed))
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q39 4593455793567983000
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SELECT 'q40', floor(VAR_POP(col_int_unsigned)) FROM t1;
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q40 floor(VAR_POP(col_int_unsigned))
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q40 5376
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SELECT 'q41', floor(VAR_POP(col_big_signed)) FROM t1;
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q41 floor(VAR_POP(col_big_signed))
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q41 84734349543936475000000000000000000000
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SELECT 'q42', floor(VAR_POP(col_big_unsigned)) FROM t1;
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q42 floor(VAR_POP(col_big_unsigned))
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q42 5376
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SELECT 'q43', floor(VAR_POP(col_dec_signed)) FROM t1;
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q43 floor(VAR_POP(col_dec_signed))
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q43 637470394940789800000000000000000000000000000000000000000000000000000000
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SELECT 'q45', floor(VAR_POP(col_float_signed)) FROM t1;
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q45 floor(VAR_POP(col_float_signed))
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q45 70081516546971
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SELECT 'q46', floor(VAR_POP(col_float_unsigned)) FROM t1;
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q46 floor(VAR_POP(col_float_unsigned))
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q46 5376
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SELECT 'q47', floor(VAR_POP(col_double_signed)) FROM t1;
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q47 floor(VAR_POP(col_double_signed))
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q47 4593455793567983000
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SELECT 'q48', floor(VAR_POP(col_double_unsigned)) FROM t1;
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q48 floor(VAR_POP(col_double_unsigned))
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q48 5376
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SELECT 'q49', floor(VAR_SAMP(col_signed)) FROM t1;
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q49 floor(VAR_SAMP(col_signed))
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q49 5397
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SELECT 'q50', floor(VAR_SAMP(col_unsigned)) FROM t1;
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q50 floor(VAR_SAMP(col_unsigned))
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q50 5397
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SELECT 'q51', floor(VAR_SAMP(col_small_signed)) FROM t1;
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q51 floor(VAR_SAMP(col_small_signed))
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q51 1028069399
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SELECT 'q52', floor(VAR_SAMP(col_small_unsigned)) FROM t1;
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q52 floor(VAR_SAMP(col_small_unsigned))
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q52 5397
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SELECT 'q53', floor(VAR_SAMP(col_med_signed)) FROM t1;
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q53 floor(VAR_SAMP(col_med_signed))
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q53 70358518588695
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SELECT 'q54', floor(VAR_SAMP(col_med_unsigned)) FROM t1;
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q54 floor(VAR_SAMP(col_med_unsigned))
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q54 5397
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SELECT 'q55', floor(VAR_SAMP(col_int_signed)) FROM t1;
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q55 floor(VAR_SAMP(col_int_signed))
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q55 4611611745321216000
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SELECT 'q56', floor(VAR_SAMP(col_int_unsigned)) FROM t1;
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q56 floor(VAR_SAMP(col_int_unsigned))
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q56 5397
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SELECT 'q57', floor(VAR_SAMP(col_big_signed)) FROM t1;
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q57 floor(VAR_SAMP(col_big_signed))
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q57 85069267921580490000000000000000000000
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SELECT 'q58', floor(VAR_SAMP(col_big_unsigned)) FROM t1;
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q58 floor(VAR_SAMP(col_big_unsigned))
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q58 5397
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SELECT 'q59', floor(VAR_SAMP(col_dec_signed)) FROM t1;
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q59 floor(VAR_SAMP(col_dec_signed))
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q59 639990040770595400000000000000000000000000000000000000000000000000000000
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SELECT 'q61', floor(VAR_SAMP(col_float_signed)) FROM t1;
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q61 floor(VAR_SAMP(col_float_signed))
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q61 70358518588659
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SELECT 'q62', floor(VAR_SAMP(col_float_unsigned)) FROM t1;
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q62 floor(VAR_SAMP(col_float_unsigned))
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q62 5397
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SELECT 'q63', floor(VAR_SAMP(col_double_signed)) FROM t1;
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q63 floor(VAR_SAMP(col_double_signed))
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q63 4611611745321216000
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SELECT 'q64', floor(VAR_SAMP(col_double_unsigned)) FROM t1;
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q64 floor(VAR_SAMP(col_double_unsigned))
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q64 5397
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DROP DATABASE std_test_db;
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229
mysql-test/columnstore/basic/r/std_aggregate_server.result
Normal file
229
mysql-test/columnstore/basic/r/std_aggregate_server.result
Normal file
@ -0,0 +1,229 @@
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DROP DATABASE IF EXISTS std_test_db;
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CREATE DATABASE std_test_db;
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USE std_test_db;
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create table t1 (
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col_signed tinyint,
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col_unsigned tinyint unsigned
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);
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LOAD DATA LOCAL infile 'MTR_SUITE_DIR/../std_data/tinyint_range.tbl' INTO TABLE t1 FIELDS TERMINATED BY '|';;
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ALTER TABLE t1 ADD COLUMN col_small_signed SMALLINT;
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ALTER TABLE t1 ADD COLUMN col_small_unsigned SMALLINT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_med_signed MEDIUMINT;
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ALTER TABLE t1 ADD COLUMN col_med_unsigned MEDIUMINT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_int_signed INT;
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ALTER TABLE t1 ADD COLUMN col_int_unsigned INT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_big_signed BIGINT;
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ALTER TABLE t1 ADD COLUMN col_big_unsigned BIGINT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_dec_signed DECIMAL(38,0);
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ALTER TABLE t1 ADD COLUMN col_dec_unsigned DECIMAL(38,0) UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_float_signed FLOAT;
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ALTER TABLE t1 ADD COLUMN col_float_unsigned FLOAT UNSIGNED;
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ALTER TABLE t1 ADD COLUMN col_double_signed DOUBLE;
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ALTER TABLE t1 ADD COLUMN col_double_unsigned DOUBLE UNSIGNED;
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UPDATE t1 SET col_small_signed=col_signed + sign(col_signed) * 32000;
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UPDATE t1 SET col_small_unsigned=col_unsigned + 65000;
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UPDATE t1 SET col_med_signed=col_signed + sign(col_signed) * 8388000;
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UPDATE t1 SET col_med_unsigned=col_unsigned + 16776000;
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UPDATE t1 SET col_int_signed=col_signed + sign(col_signed) * 2147483000;
|
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UPDATE t1 SET col_int_unsigned=col_unsigned + 4294000000;
|
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UPDATE t1 SET col_big_signed=col_signed + sign(col_signed) * 9223372036854775000;
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UPDATE t1 SET col_big_unsigned=col_unsigned + 18446744073709551000;
|
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UPDATE t1 SET col_dec_signed=col_signed + sign(col_signed) * 800000000000000000000000000000000001;
|
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UPDATE t1 SET col_dec_unsigned=col_unsigned + 800000000000000000000000000000000003;
|
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UPDATE t1 SET col_float_signed=col_signed + 0.637 + sign(col_signed) * 8388000;
|
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UPDATE t1 SET col_float_unsigned=col_unsigned + 0.637 + 16776000;
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UPDATE t1 SET col_double_signed=col_signed + 0.637 + sign(col_signed) * 2147483000;
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UPDATE t1 SET col_double_unsigned=col_unsigned + 0.637 + 4294000000;
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SELECT 'q1', floor(STD(col_signed)) FROM t1;
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q1 floor(STD(col_signed))
|
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q1 73
|
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SELECT 'q2', floor(STD(col_unsigned)) FROM t1;
|
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q2 floor(STD(col_unsigned))
|
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q2 73
|
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SELECT 'q3', floor(STD(col_small_signed)) FROM t1;
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q3 floor(STD(col_small_signed))
|
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q3 32000
|
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SELECT 'q4', floor(STD(col_small_unsigned)) FROM t1;
|
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q4 floor(STD(col_small_unsigned))
|
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q4 73
|
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SELECT 'q5', floor(STD(col_med_signed)) FROM t1;
|
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q5 floor(STD(col_med_signed))
|
||||
q5 8371470
|
||||
SELECT 'q6', floor(STD(col_med_unsigned)) FROM t1;
|
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q6 floor(STD(col_med_unsigned))
|
||||
q6 73
|
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SELECT 'q7', floor(STD(col_int_signed)) FROM t1;
|
||||
q7 floor(STD(col_int_signed))
|
||||
q7 2143234889
|
||||
SELECT 'q8', floor(STD(col_int_unsigned)) FROM t1;
|
||||
q8 floor(STD(col_int_unsigned))
|
||||
q8 73
|
||||
SELECT 'q9', floor(STD(col_big_signed)) FROM t1;
|
||||
q9 floor(STD(col_big_signed))
|
||||
q9 9205126264421171000
|
||||
SELECT 'q10', floor(STD(col_big_unsigned)) FROM t1;
|
||||
q10 floor(STD(col_big_unsigned))
|
||||
q10 0
|
||||
SELECT 'q11', floor(STD(col_dec_signed)) FROM t1;
|
||||
q11 floor(STD(col_dec_signed))
|
||||
q11 798417431511105000000000000000000000
|
||||
SELECT 'q12', floor(STD(col_dec_unsigned)) FROM t1;
|
||||
q12 floor(STD(col_dec_unsigned))
|
||||
q12 0
|
||||
SELECT 'q13', floor(STD(col_float_signed)) FROM t1;
|
||||
q13 floor(STD(col_float_signed))
|
||||
q13 8371470
|
||||
SELECT 'q14', floor(STD(col_float_unsigned)) FROM t1;
|
||||
q14 floor(STD(col_float_unsigned))
|
||||
q14 73
|
||||
SELECT 'q15', floor(STD(col_double_signed)) FROM t1;
|
||||
q15 floor(STD(col_double_signed))
|
||||
q15 2143234889
|
||||
SELECT 'q16', floor(STD(col_double_unsigned)) FROM t1;
|
||||
q16 floor(STD(col_double_unsigned))
|
||||
q16 73
|
||||
SELECT 'q17', floor(STDDEV_SAMP(col_signed)) FROM t1;
|
||||
q17 floor(STDDEV_SAMP(col_signed))
|
||||
q17 73
|
||||
SELECT 'q18', floor(STDDEV_SAMP(col_unsigned)) FROM t1;
|
||||
q18 floor(STDDEV_SAMP(col_unsigned))
|
||||
q18 73
|
||||
SELECT 'q19', floor(STDDEV_SAMP(col_small_signed)) FROM t1;
|
||||
q19 floor(STDDEV_SAMP(col_small_signed))
|
||||
q19 32063
|
||||
SELECT 'q20', floor(STDDEV_SAMP(col_small_unsigned)) FROM t1;
|
||||
q20 floor(STDDEV_SAMP(col_small_unsigned))
|
||||
q20 73
|
||||
SELECT 'q21', floor(STDDEV_SAMP(col_med_signed)) FROM t1;
|
||||
q21 floor(STDDEV_SAMP(col_med_signed))
|
||||
q21 8387998
|
||||
SELECT 'q22', floor(STDDEV_SAMP(col_med_unsigned)) FROM t1;
|
||||
q22 floor(STDDEV_SAMP(col_med_unsigned))
|
||||
q22 73
|
||||
SELECT 'q23', floor(STDDEV_SAMP(col_int_signed)) FROM t1;
|
||||
q23 floor(STDDEV_SAMP(col_int_signed))
|
||||
q23 2147466354
|
||||
SELECT 'q24', floor(STDDEV_SAMP(col_int_unsigned)) FROM t1;
|
||||
q24 floor(STDDEV_SAMP(col_int_unsigned))
|
||||
q24 73
|
||||
SELECT 'q25', floor(STDDEV_SAMP(col_big_signed)) FROM t1;
|
||||
q25 floor(STDDEV_SAMP(col_big_signed))
|
||||
q25 9223300272764650000
|
||||
SELECT 'q26', floor(STDDEV_SAMP(col_big_unsigned)) FROM t1;
|
||||
q26 floor(STDDEV_SAMP(col_big_unsigned))
|
||||
q26 0
|
||||
SELECT 'q27', floor(STDDEV_SAMP(col_dec_signed)) FROM t1;
|
||||
q27 floor(STDDEV_SAMP(col_dec_signed))
|
||||
q27 799993775457406500000000000000000000
|
||||
SELECT 'q28', floor(STDDEV_SAMP(col_dec_unsigned)) FROM t1;
|
||||
q28 floor(STDDEV_SAMP(col_dec_unsigned))
|
||||
q28 0
|
||||
SELECT 'q29', floor(STDDEV_SAMP(col_float_signed)) FROM t1;
|
||||
q29 floor(STDDEV_SAMP(col_float_signed))
|
||||
q29 8387998
|
||||
SELECT 'q30', floor(STDDEV_SAMP(col_float_unsigned)) FROM t1;
|
||||
q30 floor(STDDEV_SAMP(col_float_unsigned))
|
||||
q30 73
|
||||
SELECT 'q31', floor(STDDEV_SAMP(col_double_signed)) FROM t1;
|
||||
q31 floor(STDDEV_SAMP(col_double_signed))
|
||||
q31 2147466354
|
||||
SELECT 'q32', floor(STDDEV_SAMP(col_double_unsigned)) FROM t1;
|
||||
q32 floor(STDDEV_SAMP(col_double_unsigned))
|
||||
q32 73
|
||||
SELECT 'q33', floor(VAR_POP(col_signed)) FROM t1;
|
||||
q33 floor(VAR_POP(col_signed))
|
||||
q33 5376
|
||||
SELECT 'q34', floor(VAR_POP(col_unsigned)) FROM t1;
|
||||
q34 floor(VAR_POP(col_unsigned))
|
||||
q34 5376
|
||||
SELECT 'q35', floor(VAR_POP(col_small_signed)) FROM t1;
|
||||
q35 floor(VAR_POP(col_small_signed))
|
||||
q35 1024021882
|
||||
SELECT 'q36', floor(VAR_POP(col_small_unsigned)) FROM t1;
|
||||
q36 floor(VAR_POP(col_small_unsigned))
|
||||
q36 5376
|
||||
SELECT 'q37', floor(VAR_POP(col_med_signed)) FROM t1;
|
||||
q37 floor(VAR_POP(col_med_signed))
|
||||
q37 70081516547007
|
||||
SELECT 'q38', floor(VAR_POP(col_med_unsigned)) FROM t1;
|
||||
q38 floor(VAR_POP(col_med_unsigned))
|
||||
q38 5376
|
||||
SELECT 'q39', floor(VAR_POP(col_int_signed)) FROM t1;
|
||||
q39 floor(VAR_POP(col_int_signed))
|
||||
q39 4593455793567980000
|
||||
SELECT 'q40', floor(VAR_POP(col_int_unsigned)) FROM t1;
|
||||
q40 floor(VAR_POP(col_int_unsigned))
|
||||
q40 5376
|
||||
SELECT 'q41', floor(VAR_POP(col_big_signed)) FROM t1;
|
||||
q41 floor(VAR_POP(col_big_signed))
|
||||
q41 84734349543936470000000000000000000000
|
||||
SELECT 'q42', floor(VAR_POP(col_big_unsigned)) FROM t1;
|
||||
q42 floor(VAR_POP(col_big_unsigned))
|
||||
q42 0
|
||||
SELECT 'q43', floor(VAR_POP(col_dec_signed)) FROM t1;
|
||||
q43 floor(VAR_POP(col_dec_signed))
|
||||
q43 637470394940789900000000000000000000000000000000000000000000000000000000
|
||||
SELECT 'q44', floor(VAR_POP(col_dec_unsigned)) FROM t1;
|
||||
q44 floor(VAR_POP(col_dec_unsigned))
|
||||
q44 0
|
||||
SELECT 'q45', floor(VAR_POP(col_float_signed)) FROM t1;
|
||||
q45 floor(VAR_POP(col_float_signed))
|
||||
q45 70081516546971
|
||||
SELECT 'q46', floor(VAR_POP(col_float_unsigned)) FROM t1;
|
||||
q46 floor(VAR_POP(col_float_unsigned))
|
||||
q46 5376
|
||||
SELECT 'q47', floor(VAR_POP(col_double_signed)) FROM t1;
|
||||
q47 floor(VAR_POP(col_double_signed))
|
||||
q47 4593455793567980000
|
||||
SELECT 'q48', floor(VAR_POP(col_double_unsigned)) FROM t1;
|
||||
q48 floor(VAR_POP(col_double_unsigned))
|
||||
q48 5376
|
||||
SELECT 'q49', floor(VAR_SAMP(col_signed)) FROM t1;
|
||||
q49 floor(VAR_SAMP(col_signed))
|
||||
q49 5397
|
||||
SELECT 'q50', floor(VAR_SAMP(col_unsigned)) FROM t1;
|
||||
q50 floor(VAR_SAMP(col_unsigned))
|
||||
q50 5397
|
||||
SELECT 'q51', floor(VAR_SAMP(col_small_signed)) FROM t1;
|
||||
q51 floor(VAR_SAMP(col_small_signed))
|
||||
q51 1028069399
|
||||
SELECT 'q52', floor(VAR_SAMP(col_small_unsigned)) FROM t1;
|
||||
q52 floor(VAR_SAMP(col_small_unsigned))
|
||||
q52 5397
|
||||
SELECT 'q53', floor(VAR_SAMP(col_med_signed)) FROM t1;
|
||||
q53 floor(VAR_SAMP(col_med_signed))
|
||||
q53 70358518588695
|
||||
SELECT 'q54', floor(VAR_SAMP(col_med_unsigned)) FROM t1;
|
||||
q54 floor(VAR_SAMP(col_med_unsigned))
|
||||
q54 5397
|
||||
SELECT 'q55', floor(VAR_SAMP(col_int_signed)) FROM t1;
|
||||
q55 floor(VAR_SAMP(col_int_signed))
|
||||
q55 4611611745321213400
|
||||
SELECT 'q56', floor(VAR_SAMP(col_int_unsigned)) FROM t1;
|
||||
q56 floor(VAR_SAMP(col_int_unsigned))
|
||||
q56 5397
|
||||
SELECT 'q57', floor(VAR_SAMP(col_big_signed)) FROM t1;
|
||||
q57 floor(VAR_SAMP(col_big_signed))
|
||||
q57 85069267921580480000000000000000000000
|
||||
SELECT 'q58', floor(VAR_SAMP(col_big_unsigned)) FROM t1;
|
||||
q58 floor(VAR_SAMP(col_big_unsigned))
|
||||
q58 0
|
||||
SELECT 'q59', floor(VAR_SAMP(col_dec_signed)) FROM t1;
|
||||
q59 floor(VAR_SAMP(col_dec_signed))
|
||||
q59 639990040770595400000000000000000000000000000000000000000000000000000000
|
||||
SELECT 'q60', floor(VAR_SAMP(col_dec_unsigned)) FROM t1;
|
||||
q60 floor(VAR_SAMP(col_dec_unsigned))
|
||||
q60 0
|
||||
SELECT 'q61', floor(VAR_SAMP(col_float_signed)) FROM t1;
|
||||
q61 floor(VAR_SAMP(col_float_signed))
|
||||
q61 70358518588659
|
||||
SELECT 'q62', floor(VAR_SAMP(col_float_unsigned)) FROM t1;
|
||||
q62 floor(VAR_SAMP(col_float_unsigned))
|
||||
q62 5397
|
||||
SELECT 'q63', floor(VAR_SAMP(col_double_signed)) FROM t1;
|
||||
q63 floor(VAR_SAMP(col_double_signed))
|
||||
q63 4611611745321213400
|
||||
SELECT 'q64', floor(VAR_SAMP(col_double_unsigned)) FROM t1;
|
||||
q64 floor(VAR_SAMP(col_double_unsigned))
|
||||
q64 5397
|
||||
DROP DATABASE std_test_db;
|
||||
@ -33,7 +33,7 @@ q5 floor(STD(u_custKey))
|
||||
q5 6749
|
||||
SELECT 'q6', floor(STD(u_bigcustKey)) FROM customer;
|
||||
q6 floor(STD(u_bigcustKey))
|
||||
q6 6688
|
||||
q6 6749
|
||||
SELECT 'q7', AVG(u_custKey) FROM customer;
|
||||
q7 AVG(u_custKey)
|
||||
q7 4294007575.1667
|
||||
|
||||
118
mysql-test/columnstore/basic/t/std_aggregate_columnstore.test
Normal file
118
mysql-test/columnstore/basic/t/std_aggregate_columnstore.test
Normal file
@ -0,0 +1,118 @@
|
||||
-- source ../include/have_columnstore.inc
|
||||
|
||||
--disable_warnings
|
||||
DROP DATABASE IF EXISTS std_test_db;
|
||||
--enable_warnings
|
||||
|
||||
CREATE DATABASE std_test_db;
|
||||
USE std_test_db;
|
||||
|
||||
create table t1 (
|
||||
col_signed tinyint,
|
||||
col_unsigned tinyint unsigned
|
||||
)engine=columnstore;
|
||||
|
||||
--replace_result $MTR_SUITE_DIR MTR_SUITE_DIR
|
||||
--eval LOAD DATA LOCAL infile '$MTR_SUITE_DIR/../std_data/tinyint_range.tbl' INTO TABLE t1 FIELDS TERMINATED BY '|';
|
||||
|
||||
ALTER TABLE t1 ADD COLUMN col_small_signed SMALLINT;
|
||||
ALTER TABLE t1 ADD COLUMN col_small_unsigned SMALLINT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_med_signed MEDIUMINT;
|
||||
ALTER TABLE t1 ADD COLUMN col_med_unsigned MEDIUMINT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_int_signed INT;
|
||||
ALTER TABLE t1 ADD COLUMN col_int_unsigned INT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_big_signed BIGINT;
|
||||
ALTER TABLE t1 ADD COLUMN col_big_unsigned BIGINT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_dec_signed DECIMAL(38,0);
|
||||
ALTER TABLE t1 ADD COLUMN col_dec_unsigned DECIMAL(38,0) UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_float_signed FLOAT;
|
||||
ALTER TABLE t1 ADD COLUMN col_float_unsigned FLOAT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_double_signed DOUBLE;
|
||||
ALTER TABLE t1 ADD COLUMN col_double_unsigned DOUBLE UNSIGNED;
|
||||
|
||||
UPDATE t1 SET col_small_signed=col_signed + sign(col_signed) * 32000;
|
||||
UPDATE t1 SET col_small_unsigned=col_unsigned + 65000;
|
||||
UPDATE t1 SET col_med_signed=col_signed + sign(col_signed) * 8388000;
|
||||
UPDATE t1 SET col_med_unsigned=col_unsigned + 16776000;
|
||||
UPDATE t1 SET col_int_signed=col_signed + sign(col_signed) * 2147483000;
|
||||
UPDATE t1 SET col_int_unsigned=col_unsigned + 4294000000;
|
||||
UPDATE t1 SET col_big_signed=col_signed + sign(col_signed) * 9223372036854775000;
|
||||
UPDATE t1 SET col_big_unsigned=col_unsigned + 18446744073709551000;
|
||||
UPDATE t1 SET col_dec_signed=col_signed + sign(col_signed) * 800000000000000000000000000000000001;
|
||||
UPDATE t1 SET col_dec_unsigned=col_unsigned + 800000000000000000000000000000000003;
|
||||
UPDATE t1 SET col_float_signed=col_signed + 0.637 + sign(col_signed) * 8388000;
|
||||
UPDATE t1 SET col_float_unsigned=col_unsigned + 0.637 + 16776000;
|
||||
UPDATE t1 SET col_double_signed=col_signed + 0.637 + sign(col_signed) * 2147483000;
|
||||
UPDATE t1 SET col_double_unsigned=col_unsigned + 0.637 + 4294000000;
|
||||
|
||||
|
||||
SELECT 'q1', floor(STD(col_signed)) FROM t1;
|
||||
SELECT 'q2', floor(STD(col_unsigned)) FROM t1;
|
||||
SELECT 'q3', floor(STD(col_small_signed)) FROM t1;
|
||||
SELECT 'q4', floor(STD(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q5', floor(STD(col_med_signed)) FROM t1;
|
||||
SELECT 'q6', floor(STD(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q7', floor(STD(col_int_signed)) FROM t1;
|
||||
SELECT 'q8', floor(STD(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q9', floor(STD(col_big_signed)) FROM t1;
|
||||
SELECT 'q10', floor(STD(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q11', floor(STD(col_dec_signed)) FROM t1;
|
||||
SELECT 'q13', floor(STD(col_float_signed)) FROM t1;
|
||||
SELECT 'q14', floor(STD(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q15', floor(STD(col_double_signed)) FROM t1;
|
||||
SELECT 'q16', floor(STD(col_double_unsigned)) FROM t1;
|
||||
|
||||
|
||||
SELECT 'q17', floor(STDDEV_SAMP(col_signed)) FROM t1;
|
||||
SELECT 'q18', floor(STDDEV_SAMP(col_unsigned)) FROM t1;
|
||||
SELECT 'q19', floor(STDDEV_SAMP(col_small_signed)) FROM t1;
|
||||
SELECT 'q20', floor(STDDEV_SAMP(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q21', floor(STDDEV_SAMP(col_med_signed)) FROM t1;
|
||||
SELECT 'q22', floor(STDDEV_SAMP(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q23', floor(STDDEV_SAMP(col_int_signed)) FROM t1;
|
||||
SELECT 'q24', floor(STDDEV_SAMP(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q25', floor(STDDEV_SAMP(col_big_signed)) FROM t1;
|
||||
SELECT 'q26', floor(STDDEV_SAMP(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q27', floor(STDDEV_SAMP(col_dec_signed)) FROM t1;
|
||||
SELECT 'q29', floor(STDDEV_SAMP(col_float_signed)) FROM t1;
|
||||
SELECT 'q30', floor(STDDEV_SAMP(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q31', floor(STDDEV_SAMP(col_double_signed)) FROM t1;
|
||||
SELECT 'q32', floor(STDDEV_SAMP(col_double_unsigned)) FROM t1;
|
||||
|
||||
SELECT 'q33', floor(VAR_POP(col_signed)) FROM t1;
|
||||
SELECT 'q34', floor(VAR_POP(col_unsigned)) FROM t1;
|
||||
SELECT 'q35', floor(VAR_POP(col_small_signed)) FROM t1;
|
||||
SELECT 'q36', floor(VAR_POP(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q37', floor(VAR_POP(col_med_signed)) FROM t1;
|
||||
SELECT 'q38', floor(VAR_POP(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q39', floor(VAR_POP(col_int_signed)) FROM t1;
|
||||
SELECT 'q40', floor(VAR_POP(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q41', floor(VAR_POP(col_big_signed)) FROM t1;
|
||||
SELECT 'q42', floor(VAR_POP(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q43', floor(VAR_POP(col_dec_signed)) FROM t1;
|
||||
SELECT 'q45', floor(VAR_POP(col_float_signed)) FROM t1;
|
||||
SELECT 'q46', floor(VAR_POP(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q47', floor(VAR_POP(col_double_signed)) FROM t1;
|
||||
SELECT 'q48', floor(VAR_POP(col_double_unsigned)) FROM t1;
|
||||
|
||||
|
||||
SELECT 'q49', floor(VAR_SAMP(col_signed)) FROM t1;
|
||||
SELECT 'q50', floor(VAR_SAMP(col_unsigned)) FROM t1;
|
||||
SELECT 'q51', floor(VAR_SAMP(col_small_signed)) FROM t1;
|
||||
SELECT 'q52', floor(VAR_SAMP(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q53', floor(VAR_SAMP(col_med_signed)) FROM t1;
|
||||
SELECT 'q54', floor(VAR_SAMP(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q55', floor(VAR_SAMP(col_int_signed)) FROM t1;
|
||||
SELECT 'q56', floor(VAR_SAMP(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q57', floor(VAR_SAMP(col_big_signed)) FROM t1;
|
||||
SELECT 'q58', floor(VAR_SAMP(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q59', floor(VAR_SAMP(col_dec_signed)) FROM t1;
|
||||
SELECT 'q61', floor(VAR_SAMP(col_float_signed)) FROM t1;
|
||||
SELECT 'q62', floor(VAR_SAMP(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q63', floor(VAR_SAMP(col_double_signed)) FROM t1;
|
||||
SELECT 'q64', floor(VAR_SAMP(col_double_unsigned)) FROM t1;
|
||||
|
||||
|
||||
|
||||
# Clean UP
|
||||
DROP DATABASE std_test_db;
|
||||
121
mysql-test/columnstore/basic/t/std_aggregate_server.test
Normal file
121
mysql-test/columnstore/basic/t/std_aggregate_server.test
Normal file
@ -0,0 +1,121 @@
|
||||
-- source ../include/have_columnstore.inc
|
||||
|
||||
--disable_warnings
|
||||
DROP DATABASE IF EXISTS std_test_db;
|
||||
--enable_warnings
|
||||
|
||||
CREATE DATABASE std_test_db;
|
||||
USE std_test_db;
|
||||
|
||||
create table t1 (
|
||||
col_signed tinyint,
|
||||
col_unsigned tinyint unsigned
|
||||
);
|
||||
|
||||
--replace_result $MTR_SUITE_DIR MTR_SUITE_DIR
|
||||
--eval LOAD DATA LOCAL infile '$MTR_SUITE_DIR/../std_data/tinyint_range.tbl' INTO TABLE t1 FIELDS TERMINATED BY '|';
|
||||
|
||||
ALTER TABLE t1 ADD COLUMN col_small_signed SMALLINT;
|
||||
ALTER TABLE t1 ADD COLUMN col_small_unsigned SMALLINT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_med_signed MEDIUMINT;
|
||||
ALTER TABLE t1 ADD COLUMN col_med_unsigned MEDIUMINT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_int_signed INT;
|
||||
ALTER TABLE t1 ADD COLUMN col_int_unsigned INT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_big_signed BIGINT;
|
||||
ALTER TABLE t1 ADD COLUMN col_big_unsigned BIGINT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_dec_signed DECIMAL(38,0);
|
||||
ALTER TABLE t1 ADD COLUMN col_dec_unsigned DECIMAL(38,0) UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_float_signed FLOAT;
|
||||
ALTER TABLE t1 ADD COLUMN col_float_unsigned FLOAT UNSIGNED;
|
||||
ALTER TABLE t1 ADD COLUMN col_double_signed DOUBLE;
|
||||
ALTER TABLE t1 ADD COLUMN col_double_unsigned DOUBLE UNSIGNED;
|
||||
|
||||
UPDATE t1 SET col_small_signed=col_signed + sign(col_signed) * 32000;
|
||||
UPDATE t1 SET col_small_unsigned=col_unsigned + 65000;
|
||||
UPDATE t1 SET col_med_signed=col_signed + sign(col_signed) * 8388000;
|
||||
UPDATE t1 SET col_med_unsigned=col_unsigned + 16776000;
|
||||
UPDATE t1 SET col_int_signed=col_signed + sign(col_signed) * 2147483000;
|
||||
UPDATE t1 SET col_int_unsigned=col_unsigned + 4294000000;
|
||||
UPDATE t1 SET col_big_signed=col_signed + sign(col_signed) * 9223372036854775000;
|
||||
UPDATE t1 SET col_big_unsigned=col_unsigned + 18446744073709551000;
|
||||
UPDATE t1 SET col_dec_signed=col_signed + sign(col_signed) * 800000000000000000000000000000000001;
|
||||
UPDATE t1 SET col_dec_unsigned=col_unsigned + 800000000000000000000000000000000003;
|
||||
UPDATE t1 SET col_float_signed=col_signed + 0.637 + sign(col_signed) * 8388000;
|
||||
UPDATE t1 SET col_float_unsigned=col_unsigned + 0.637 + 16776000;
|
||||
UPDATE t1 SET col_double_signed=col_signed + 0.637 + sign(col_signed) * 2147483000;
|
||||
UPDATE t1 SET col_double_unsigned=col_unsigned + 0.637 + 4294000000;
|
||||
|
||||
|
||||
SELECT 'q1', floor(STD(col_signed)) FROM t1;
|
||||
SELECT 'q2', floor(STD(col_unsigned)) FROM t1;
|
||||
SELECT 'q3', floor(STD(col_small_signed)) FROM t1;
|
||||
SELECT 'q4', floor(STD(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q5', floor(STD(col_med_signed)) FROM t1;
|
||||
SELECT 'q6', floor(STD(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q7', floor(STD(col_int_signed)) FROM t1;
|
||||
SELECT 'q8', floor(STD(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q9', floor(STD(col_big_signed)) FROM t1;
|
||||
SELECT 'q10', floor(STD(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q11', floor(STD(col_dec_signed)) FROM t1;
|
||||
SELECT 'q12', floor(STD(col_dec_unsigned)) FROM t1;
|
||||
SELECT 'q13', floor(STD(col_float_signed)) FROM t1;
|
||||
SELECT 'q14', floor(STD(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q15', floor(STD(col_double_signed)) FROM t1;
|
||||
SELECT 'q16', floor(STD(col_double_unsigned)) FROM t1;
|
||||
|
||||
|
||||
SELECT 'q17', floor(STDDEV_SAMP(col_signed)) FROM t1;
|
||||
SELECT 'q18', floor(STDDEV_SAMP(col_unsigned)) FROM t1;
|
||||
SELECT 'q19', floor(STDDEV_SAMP(col_small_signed)) FROM t1;
|
||||
SELECT 'q20', floor(STDDEV_SAMP(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q21', floor(STDDEV_SAMP(col_med_signed)) FROM t1;
|
||||
SELECT 'q22', floor(STDDEV_SAMP(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q23', floor(STDDEV_SAMP(col_int_signed)) FROM t1;
|
||||
SELECT 'q24', floor(STDDEV_SAMP(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q25', floor(STDDEV_SAMP(col_big_signed)) FROM t1;
|
||||
SELECT 'q26', floor(STDDEV_SAMP(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q27', floor(STDDEV_SAMP(col_dec_signed)) FROM t1;
|
||||
SELECT 'q28', floor(STDDEV_SAMP(col_dec_unsigned)) FROM t1;
|
||||
SELECT 'q29', floor(STDDEV_SAMP(col_float_signed)) FROM t1;
|
||||
SELECT 'q30', floor(STDDEV_SAMP(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q31', floor(STDDEV_SAMP(col_double_signed)) FROM t1;
|
||||
SELECT 'q32', floor(STDDEV_SAMP(col_double_unsigned)) FROM t1;
|
||||
|
||||
SELECT 'q33', floor(VAR_POP(col_signed)) FROM t1;
|
||||
SELECT 'q34', floor(VAR_POP(col_unsigned)) FROM t1;
|
||||
SELECT 'q35', floor(VAR_POP(col_small_signed)) FROM t1;
|
||||
SELECT 'q36', floor(VAR_POP(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q37', floor(VAR_POP(col_med_signed)) FROM t1;
|
||||
SELECT 'q38', floor(VAR_POP(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q39', floor(VAR_POP(col_int_signed)) FROM t1;
|
||||
SELECT 'q40', floor(VAR_POP(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q41', floor(VAR_POP(col_big_signed)) FROM t1;
|
||||
SELECT 'q42', floor(VAR_POP(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q43', floor(VAR_POP(col_dec_signed)) FROM t1;
|
||||
SELECT 'q44', floor(VAR_POP(col_dec_unsigned)) FROM t1;
|
||||
SELECT 'q45', floor(VAR_POP(col_float_signed)) FROM t1;
|
||||
SELECT 'q46', floor(VAR_POP(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q47', floor(VAR_POP(col_double_signed)) FROM t1;
|
||||
SELECT 'q48', floor(VAR_POP(col_double_unsigned)) FROM t1;
|
||||
|
||||
|
||||
SELECT 'q49', floor(VAR_SAMP(col_signed)) FROM t1;
|
||||
SELECT 'q50', floor(VAR_SAMP(col_unsigned)) FROM t1;
|
||||
SELECT 'q51', floor(VAR_SAMP(col_small_signed)) FROM t1;
|
||||
SELECT 'q52', floor(VAR_SAMP(col_small_unsigned)) FROM t1;
|
||||
SELECT 'q53', floor(VAR_SAMP(col_med_signed)) FROM t1;
|
||||
SELECT 'q54', floor(VAR_SAMP(col_med_unsigned)) FROM t1;
|
||||
SELECT 'q55', floor(VAR_SAMP(col_int_signed)) FROM t1;
|
||||
SELECT 'q56', floor(VAR_SAMP(col_int_unsigned)) FROM t1;
|
||||
SELECT 'q57', floor(VAR_SAMP(col_big_signed)) FROM t1;
|
||||
SELECT 'q58', floor(VAR_SAMP(col_big_unsigned)) FROM t1;
|
||||
SELECT 'q59', floor(VAR_SAMP(col_dec_signed)) FROM t1;
|
||||
SELECT 'q60', floor(VAR_SAMP(col_dec_unsigned)) FROM t1;
|
||||
SELECT 'q61', floor(VAR_SAMP(col_float_signed)) FROM t1;
|
||||
SELECT 'q62', floor(VAR_SAMP(col_float_unsigned)) FROM t1;
|
||||
SELECT 'q63', floor(VAR_SAMP(col_double_signed)) FROM t1;
|
||||
SELECT 'q64', floor(VAR_SAMP(col_double_unsigned)) FROM t1;
|
||||
|
||||
|
||||
# Clean UP
|
||||
DROP DATABASE std_test_db;
|
||||
254
mysql-test/columnstore/std_data/tinyint_range.tbl
Normal file
254
mysql-test/columnstore/std_data/tinyint_range.tbl
Normal file
@ -0,0 +1,254 @@
|
||||
-126|0
|
||||
-125|1
|
||||
-124|2
|
||||
-123|3
|
||||
-122|4
|
||||
-121|5
|
||||
-120|6
|
||||
-119|7
|
||||
-118|8
|
||||
-117|9
|
||||
-116|10
|
||||
-115|11
|
||||
-114|12
|
||||
-113|13
|
||||
-112|14
|
||||
-111|15
|
||||
-110|16
|
||||
-109|17
|
||||
-108|18
|
||||
-107|19
|
||||
-106|20
|
||||
-105|21
|
||||
-104|22
|
||||
-103|23
|
||||
-102|24
|
||||
-101|25
|
||||
-100|26
|
||||
-99|27
|
||||
-98|28
|
||||
-97|29
|
||||
-96|30
|
||||
-95|31
|
||||
-94|32
|
||||
-93|33
|
||||
-92|34
|
||||
-91|35
|
||||
-90|36
|
||||
-89|37
|
||||
-88|38
|
||||
-87|39
|
||||
-86|40
|
||||
-85|41
|
||||
-84|42
|
||||
-83|43
|
||||
-82|44
|
||||
-81|45
|
||||
-80|46
|
||||
-79|47
|
||||
-78|48
|
||||
-77|49
|
||||
-76|50
|
||||
-75|51
|
||||
-74|52
|
||||
-73|53
|
||||
-72|54
|
||||
-71|55
|
||||
-70|56
|
||||
-69|57
|
||||
-68|58
|
||||
-67|59
|
||||
-66|60
|
||||
-65|61
|
||||
-64|62
|
||||
-63|63
|
||||
-62|64
|
||||
-61|65
|
||||
-60|66
|
||||
-59|67
|
||||
-58|68
|
||||
-57|69
|
||||
-56|70
|
||||
-55|71
|
||||
-54|72
|
||||
-53|73
|
||||
-52|74
|
||||
-51|75
|
||||
-50|76
|
||||
-49|77
|
||||
-48|78
|
||||
-47|79
|
||||
-46|80
|
||||
-45|81
|
||||
-44|82
|
||||
-43|83
|
||||
-42|84
|
||||
-41|85
|
||||
-40|86
|
||||
-39|87
|
||||
-38|88
|
||||
-37|89
|
||||
-36|90
|
||||
-35|91
|
||||
-34|92
|
||||
-33|93
|
||||
-32|94
|
||||
-31|95
|
||||
-30|96
|
||||
-29|97
|
||||
-28|98
|
||||
-27|99
|
||||
-26|100
|
||||
-25|101
|
||||
-24|102
|
||||
-23|103
|
||||
-22|104
|
||||
-21|105
|
||||
-20|106
|
||||
-19|107
|
||||
-18|108
|
||||
-17|109
|
||||
-16|110
|
||||
-15|111
|
||||
-14|112
|
||||
-13|113
|
||||
-12|114
|
||||
-11|115
|
||||
-10|116
|
||||
-9|117
|
||||
-8|118
|
||||
-7|119
|
||||
-6|120
|
||||
-5|121
|
||||
-4|122
|
||||
-3|123
|
||||
-2|124
|
||||
-1|125
|
||||
0|126
|
||||
1|127
|
||||
2|128
|
||||
3|129
|
||||
4|130
|
||||
5|131
|
||||
6|132
|
||||
7|133
|
||||
8|134
|
||||
9|135
|
||||
10|136
|
||||
11|137
|
||||
12|138
|
||||
13|139
|
||||
14|140
|
||||
15|141
|
||||
16|142
|
||||
17|143
|
||||
18|144
|
||||
19|145
|
||||
20|146
|
||||
21|147
|
||||
22|148
|
||||
23|149
|
||||
24|150
|
||||
25|151
|
||||
26|152
|
||||
27|153
|
||||
28|154
|
||||
29|155
|
||||
30|156
|
||||
31|157
|
||||
32|158
|
||||
33|159
|
||||
34|160
|
||||
35|161
|
||||
36|162
|
||||
37|163
|
||||
38|164
|
||||
39|165
|
||||
40|166
|
||||
41|167
|
||||
42|168
|
||||
43|169
|
||||
44|170
|
||||
45|171
|
||||
46|172
|
||||
47|173
|
||||
48|174
|
||||
49|175
|
||||
50|176
|
||||
51|177
|
||||
52|178
|
||||
53|179
|
||||
54|180
|
||||
55|181
|
||||
56|182
|
||||
57|183
|
||||
58|184
|
||||
59|185
|
||||
60|186
|
||||
61|187
|
||||
62|188
|
||||
63|189
|
||||
64|190
|
||||
65|191
|
||||
66|192
|
||||
67|193
|
||||
68|194
|
||||
69|195
|
||||
70|196
|
||||
71|197
|
||||
72|198
|
||||
73|199
|
||||
74|200
|
||||
75|201
|
||||
76|202
|
||||
77|203
|
||||
78|204
|
||||
79|205
|
||||
80|206
|
||||
81|207
|
||||
82|208
|
||||
83|209
|
||||
84|210
|
||||
85|211
|
||||
86|212
|
||||
87|213
|
||||
88|214
|
||||
89|215
|
||||
90|216
|
||||
91|217
|
||||
92|218
|
||||
93|219
|
||||
94|220
|
||||
95|221
|
||||
96|222
|
||||
97|223
|
||||
98|224
|
||||
99|225
|
||||
100|226
|
||||
101|227
|
||||
102|228
|
||||
103|229
|
||||
104|230
|
||||
105|231
|
||||
106|232
|
||||
107|233
|
||||
108|234
|
||||
109|235
|
||||
110|236
|
||||
111|237
|
||||
112|238
|
||||
113|239
|
||||
114|240
|
||||
115|241
|
||||
116|242
|
||||
117|243
|
||||
118|244
|
||||
119|245
|
||||
120|246
|
||||
121|247
|
||||
122|248
|
||||
123|249
|
||||
124|250
|
||||
125|251
|
||||
126|252
|
||||
127|253
|
||||
Reference in New Issue
Block a user