参考:http://gpdb.docs.pivotal.io/4390/admin_guide/query/topics/functions-operators.html

Table 4. Advanced Analytic Functions
Function Return Type Full Syntax Description
matrix_add(array[], array[]) smallint[], int[], bigint[], float[] matrix_add( array[[1,1],[2,2]], array[[3,4],[5,6]]) Adds two two-dimensional matrices. The matrices must be conformable.
matrix_multiply( array[], array[]) smallint[]int[], bigint[], float[] matrix_multiply( array[[2,0,0],[0,2,0],[0,0,2]], array[[3,0,3],[0,3,0],[0,0,3]] ) Multiplies two, three- dimensional arrays. The matrices must be conformable.
matrix_multiply( array[], expr) int[], float[] matrix_multiply( array[[1,1,1], [2,2,2], [3,3,3]], 2) Multiplies a two-dimensional array and a scalar numeric value.
matrix_transpose( array[]) Same as input arraytype. matrix_transpose( array [[1,1,1],[2,2,2]]) Transposes a two-dimensional array.
pinv(array []) smallint[]int[], bigint[], float[] pinv(array[[2.5,0,0],[0,1,0],[0,0,.5]]) Calculates the Moore-Penrose pseudoinverse of a matrix.
unnest (array[]) set of anyelement unnest( array['one', 'row', 'per', 'item']) Transforms a one dimensional array into rows. Returns a set ofanyelement, a polymorphic pseudotype in PostgreSQL.
Table 5. Advanced Aggregate Functions
Function Return Type Full Syntax Description
MEDIAN (expr) timestamp, timestampz, interval, float MEDIAN (expression)

Example:

SELECT department_id, MEDIAN(salary)
FROM employees
GROUP BY department_id;
Can take a two-dimensional array as input. Treats such arrays as matrices.
PERCENTILE_CONT (expr) WITHIN GROUP (ORDER BYexpr [DESC/ASC]) timestamp, timestampz, interval, float PERCENTILE_CONT(percentage) WITHIN GROUP (ORDER BY expression)

Example:

SELECT department_id,
PERCENTILE_CONT (0.5) WITHIN GROUP (ORDER BY salary DESC)
"Median_cont";
FROM employees GROUP BY department_id;
Performs an inverse function that assumes a continuous distribution model. It takes a percentile value and a sort specification and returns the same datatype as the numeric datatype of the argument. This returned value is a computed result after performing linear interpolation. Null are ignored in this calculation.
PERCENTILE_DISC (expr) WITHIN GROUP (ORDER BYexpr [DESC/ASC]) timestamp, timestampz, interval, float PERCENTILE_DISC(percentage) WITHIN GROUP (ORDER BY expression)

Example:

SELECT department_id,
PERCENTILE_DISC (0.5) WITHIN GROUP (ORDER BY salary DESC)
"Median_desc";
FROM employees GROUP BY department_id;
Performs an inverse distribution function that assumes a discrete distribution model. It takes a percentile value and a sort specification. This returned value is an element from the set. Null are ignored in this calculation.
sum(array[]) smallint[]int[], bigint[], float[] sum(array[[1,2],[3,4]])

Example:

CREATE TABLE mymatrix (myvalue int[]);
INSERT INTO mymatrix VALUES (array[[1,2],[3,4]]);
INSERT INTO mymatrix VALUES (array[[0,1],[1,0]]);
SELECT sum(myvalue) FROM mymatrix;
sum
---------------
{{1,3},{4,4}}
Performs matrix summation. Can take as input a two-dimensional array that is treated as a matrix.
pivot_sum (label[], label, expr) int[], bigint[], float[] pivot_sum( array['A1','A2'], attr, value) A pivot aggregation using sum to resolve duplicate entries.
mregr_coef(expr, array[]) float[] mregr_coef(y, array[1, x1, x2]) The four mregr_*aggregates perform linear regressions using the ordinary-least-squares method. mregr_coefcalculates the regression coefficients. The size of the return array formregr_coef is the same as the size of the input array of independent variables, since the return array contains the coefficient for each independent variable.
mregr_r2 (expr, array[]) float mregr_r2(y, array[1, x1, x2]) The four mregr_*aggregates perform linear regressions using the ordinary-least-squares method. mregr_r2calculates the r-squared error value for the regression.
mregr_pvalues(expr, array[]) float[] mregr_pvalues(y, array[1, x1, x2]) The four mregr_*aggregates perform linear regressions using the ordinary-least-squares method. mregr_pvaluescalculates the p-values for the regression.
mregr_tstats(expr, array[]) float[] mregr_tstats(y, array[1, x1, x2]) The four mregr_*aggregates perform linear regressions using the ordinary-least-squares method. mregr_tstatscalculates the t-statistics for the regression.
nb_classify(text[], bigint, bigint[], bigint[]) text nb_classify(classes, attr_count, class_count, class_total) Classify rows using a Naive Bayes Classifier. This aggregate uses a baseline of training data to predict the classification of new rows and returns the class with the largest likelihood of appearing in the new rows.
nb_probabilities(text[], bigint, bigint[], bigint[]) text nb_probabilities(classes, attr_count, class_count, class_total) Determine probability for each class using a Naive Bayes Classifier. This aggregate uses a baseline of training data to predict the classification of new rows and returns the probabilities that each class will appear in new rows.

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