Attached is a patch implementing factorial(), returning numeric. Points

to note:

1) arttype is numeric. I thought this was the best way of allowing
arbitarily large factorials, even though factorial(2^63) is a large
number. Happy to change to integers if this is overkill.
2) since we're accepting numeric arguments, the patch tests for floats.
If a numeric is passed with non-zero decimal portion, an error is raised
since (from memory) they are undefined.

Gavin Sherry
This commit is contained in:
Bruce Momjian 2003-12-01 21:52:38 +00:00
parent af03663878
commit 04a4821ade
9 changed files with 74 additions and 100 deletions

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@ -8,7 +8,7 @@
*
*
* IDENTIFICATION
* $PostgreSQL: pgsql/src/backend/utils/adt/int.c,v 1.58 2003/11/29 19:51:58 pgsql Exp $
* $PostgreSQL: pgsql/src/backend/utils/adt/int.c,v 1.59 2003/12/01 21:52:37 momjian Exp $
*
*-------------------------------------------------------------------------
*/
@ -26,7 +26,7 @@
* intpl, intmi, int4mul, intdiv
*
* Arithmetic operators:
* intmod, int4fac
* intmod
*/
#include "postgres.h"
@ -849,40 +849,6 @@ int42mod(PG_FUNCTION_ARGS)
PG_RETURN_INT32(arg1 % arg2);
}
/* int[24]fac()
* Factorial
*/
Datum
int4fac(PG_FUNCTION_ARGS)
{
int32 arg1 = PG_GETARG_INT32(0);
int32 result;
if (arg1 == 0)
result = 1;
else if (arg1 < 0)
result = 0;
else
for (result = 1; arg1 > 0; --arg1)
result *= arg1;
PG_RETURN_INT32(result);
}
Datum
int2fac(PG_FUNCTION_ARGS)
{
int16 arg1 = PG_GETARG_INT16(0);
int32 result;
if (arg1 == 0)
result = 1;
else if (arg1 < 0)
result = 0;
else
for (result = 1; arg1 > 0; --arg1)
result *= arg1;
PG_RETURN_INT32(result);
}
/* int[24]abs()
* Absolute value

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@ -7,7 +7,7 @@
* Portions Copyright (c) 1994, Regents of the University of California
*
* IDENTIFICATION
* $PostgreSQL: pgsql/src/backend/utils/adt/int8.c,v 1.49 2003/11/29 19:51:58 pgsql Exp $
* $PostgreSQL: pgsql/src/backend/utils/adt/int8.c,v 1.50 2003/12/01 21:52:37 momjian Exp $
*
*-------------------------------------------------------------------------
*/
@ -561,26 +561,6 @@ int8mod(PG_FUNCTION_ARGS)
PG_RETURN_INT64(result);
}
/* int8fac()
* Factorial
*/
Datum
int8fac(PG_FUNCTION_ARGS)
{
int64 arg1 = PG_GETARG_INT64(0);
int64 result;
int64 i;
if (arg1 == 0)
result = 1;
else if (arg1 < 1)
result = 0;
else
for (i = arg1, result = 1; i > 0; --i)
result *= i;
PG_RETURN_INT64(result);
}
Datum
int8inc(PG_FUNCTION_ARGS)

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@ -14,7 +14,7 @@
* Copyright (c) 1998-2003, PostgreSQL Global Development Group
*
* IDENTIFICATION
* $PostgreSQL: pgsql/src/backend/utils/adt/numeric.c,v 1.68 2003/11/29 19:51:59 pgsql Exp $
* $PostgreSQL: pgsql/src/backend/utils/adt/numeric.c,v 1.69 2003/12/01 21:52:37 momjian Exp $
*
*-------------------------------------------------------------------------
*/
@ -1288,6 +1288,55 @@ numeric_larger(PG_FUNCTION_ARGS)
* ----------------------------------------------------------------------
*/
/*
* numeric_fac()
* Computer factorial
*/
Datum
numeric_fac(PG_FUNCTION_ARGS)
{
int64 num = PG_GETARG_INT64(0);
NumericVar count;
NumericVar fact;
NumericVar zerovar;
NumericVar result;
Numeric res;
if(num < 1) {
res = make_result(&const_one);
PG_RETURN_NUMERIC(res);
}
init_var(&fact);
init_var(&count);
init_var(&result);
init_var(&zerovar);
zero_var(&zerovar);
int8_to_numericvar((int64)num, &result);
set_var_from_var(&const_one, &count);
for(num = num - 1; num > 0; num--) {
set_var_from_var(&result,&count);
int8_to_numericvar((int64)num,&fact);
mul_var(&count, &fact, &result, count.dscale + fact.dscale);
}
res = make_result(&count);
free_var(&count);
free_var(&fact);
free_var(&result);
free_var(&zerovar);
PG_RETURN_NUMERIC(res);
}
/*
* numeric_sqrt() -

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@ -8,7 +8,7 @@
* Portions Copyright (c) 1996-2003, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
* $PostgreSQL: pgsql/src/include/catalog/pg_operator.h,v 1.122 2003/11/29 22:40:58 pgsql Exp $
* $PostgreSQL: pgsql/src/include/catalog/pg_operator.h,v 1.123 2003/12/01 21:52:37 momjian Exp $
*
* NOTES
* the genbki.sh script reads this file and generates .bki
@ -122,12 +122,12 @@ DATA(insert OID = 375 ( "||" PGNSP PGUID b f 2277 2277 2277 0 0 0 0 0 0 arra
DATA(insert OID = 352 ( "=" PGNSP PGUID b t 28 28 16 352 0 0 0 0 0 xideq eqsel eqjoinsel ));
DATA(insert OID = 353 ( "=" PGNSP PGUID b f 28 23 16 0 0 0 0 0 0 xideqint4 eqsel eqjoinsel ));
DATA(insert OID = 388 ( "!" PGNSP PGUID r f 20 0 1700 0 0 0 0 0 0 numeric_fac - - ));
DATA(insert OID = 389 ( "!!" PGNSP PGUID l f 0 20 1700 0 0 0 0 0 0 numeric_fac - - ));
DATA(insert OID = 385 ( "=" PGNSP PGUID b t 29 29 16 385 0 0 0 0 0 cideq eqsel eqjoinsel ));
DATA(insert OID = 386 ( "=" PGNSP PGUID b t 22 22 16 386 0 0 0 0 0 int2vectoreq eqsel eqjoinsel ));
DATA(insert OID = 387 ( "=" PGNSP PGUID b f 27 27 16 387 0 0 0 0 0 tideq eqsel eqjoinsel ));
#define TIDEqualOperator 387
DATA(insert OID = 388 ( "!" PGNSP PGUID r f 20 0 20 0 0 0 0 0 0 int8fac - - ));
DATA(insert OID = 389 ( "!!" PGNSP PGUID l f 0 20 20 0 0 0 0 0 0 int8fac - - ));
DATA(insert OID = 410 ( "=" PGNSP PGUID b t 20 20 16 410 411 412 412 412 413 int8eq eqsel eqjoinsel ));
DATA(insert OID = 411 ( "<>" PGNSP PGUID b f 20 20 16 411 410 0 0 0 0 int8ne neqsel neqjoinsel ));
@ -176,8 +176,6 @@ DATA(insert OID = 511 ( "@" PGNSP PGUID b f 600 603 16 0 0 0 0 0 0 on_
DATA(insert OID = 512 ( "@" PGNSP PGUID b f 600 602 16 755 0 0 0 0 0 on_ppath - - ));
DATA(insert OID = 513 ( "@@" PGNSP PGUID l f 0 603 600 0 0 0 0 0 0 box_center - - ));
DATA(insert OID = 514 ( "*" PGNSP PGUID b f 23 23 23 514 0 0 0 0 0 int4mul - - ));
DATA(insert OID = 515 ( "!" PGNSP PGUID r f 23 0 23 0 0 0 0 0 0 int4fac - - ));
DATA(insert OID = 516 ( "!!" PGNSP PGUID l f 0 23 23 0 0 0 0 0 0 int4fac - - ));
DATA(insert OID = 517 ( "<->" PGNSP PGUID b f 600 600 701 517 0 0 0 0 0 point_distance - - ));
DATA(insert OID = 518 ( "<>" PGNSP PGUID b f 23 23 16 518 96 0 0 0 0 int4ne neqsel neqjoinsel ));
DATA(insert OID = 519 ( "<>" PGNSP PGUID b f 21 21 16 519 94 0 0 0 0 int2ne neqsel neqjoinsel ));
@ -507,8 +505,6 @@ DATA(insert OID = 1133 ( ">" PGNSP PGUID b f 701 700 16 1122 1134 0 0 0 0 f
DATA(insert OID = 1134 ( "<=" PGNSP PGUID b f 701 700 16 1125 1133 0 0 0 0 float84le scalarltsel scalarltjoinsel ));
DATA(insert OID = 1135 ( ">=" PGNSP PGUID b f 701 700 16 1124 1132 0 0 0 0 float84ge scalargtsel scalargtjoinsel ));
DATA(insert OID = 1158 ( "!" PGNSP PGUID r f 21 0 23 0 0 0 0 0 0 int2fac - - ));
DATA(insert OID = 1175 ( "!!" PGNSP PGUID l f 0 21 23 0 0 0 0 0 0 int2fac - - ));
/* LIKE hacks by Keith Parks. */
DATA(insert OID = 1207 ( "~~" PGNSP PGUID b f 19 25 16 0 1208 0 0 0 0 namelike likesel likejoinsel ));

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@ -7,7 +7,7 @@
* Portions Copyright (c) 1996-2003, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
* $PostgreSQL: pgsql/src/include/catalog/pg_proc.h,v 1.316 2003/11/29 22:40:58 pgsql Exp $
* $PostgreSQL: pgsql/src/include/catalog/pg_proc.h,v 1.317 2003/12/01 21:52:37 momjian Exp $
*
* NOTES
* The script catalog/genbki.sh reads this file and generates .bki
@ -208,8 +208,6 @@ DESCR("PostgreSQL version string");
/* OIDS 100 - 199 */
DATA(insert OID = 100 ( int8fac PGNSP PGUID 12 f f t f i 1 20 "20" int8fac - _null_ ));
DESCR("factorial");
DATA(insert OID = 101 ( eqsel PGNSP PGUID 12 f f t f s 4 701 "2281 26 2281 23" eqsel - _null_ ));
DESCR("restriction selectivity of = and related operators");
DATA(insert OID = 102 ( neqsel PGNSP PGUID 12 f f t f s 4 701 "2281 26 2281 23" neqsel - _null_ ));
@ -231,7 +229,7 @@ DATA(insert OID = 109 ( unknownin PGNSP PGUID 12 f f t f i 1 705 "2275" un
DESCR("I/O");
DATA(insert OID = 110 ( unknownout PGNSP PGUID 12 f f t f i 1 2275 "705" unknownout - _null_ ));
DESCR("I/O");
DATA(insert OID = 111 ( numeric_fac PGNSP PGUID 12 f f t f i 1 1700 "20" numeric_fac - _null_ ));
DATA(insert OID = 112 ( text PGNSP PGUID 12 f f t f i 1 25 "23" int4_text - _null_ ));
DESCR("convert int4 to text");
DATA(insert OID = 113 ( text PGNSP PGUID 12 f f t f i 1 25 "21" int2_text - _null_ ));
@ -294,8 +292,6 @@ DATA(insert OID = 140 ( areajoinsel PGNSP PGUID 12 f f t f s 4 701 "2281 26
DESCR("join selectivity for area-comparison operators");
DATA(insert OID = 141 ( int4mul PGNSP PGUID 12 f f t f i 2 23 "23 23" int4mul - _null_ ));
DESCR("multiply");
DATA(insert OID = 142 ( int4fac PGNSP PGUID 12 f f t f i 1 23 "23" int4fac - _null_ ));
DESCR("factorial");
DATA(insert OID = 144 ( int4ne PGNSP PGUID 12 f f t f i 2 16 "23 23" int4ne - _null_ ));
DESCR("not equal");
DATA(insert OID = 145 ( int2ne PGNSP PGUID 12 f f t f i 2 16 "21 21" int2ne - _null_ ));
@ -571,9 +567,6 @@ DESCR("Current date and time - increments during transactions");
DATA(insert OID = 275 ( isfinite PGNSP PGUID 12 f f t f i 1 16 "702" abstime_finite - _null_ ));
DESCR("finite abstime?");
DATA(insert OID = 276 ( int2fac PGNSP PGUID 12 f f t f i 1 23 "21" int2fac - _null_ ));
DESCR("factorial");
DATA(insert OID = 277 ( inter_sl PGNSP PGUID 12 f f t f i 2 16 "601 628" inter_sl - _null_ ));
DESCR("intersect?");
DATA(insert OID = 278 ( inter_lb PGNSP PGUID 12 f f t f i 2 16 "628 603" inter_lb - _null_ ));
@ -1758,11 +1751,7 @@ DATA(insert OID = 1390 ( isfinite PGNSP PGUID 12 f f t f i 1 16 "1186" inte
DESCR("finite interval?");
DATA(insert OID = 1391 ( factorial PGNSP PGUID 12 f f t f i 1 23 "21" int2fac - _null_ ));
DESCR("factorial");
DATA(insert OID = 1392 ( factorial PGNSP PGUID 12 f f t f i 1 23 "23" int4fac - _null_ ));
DESCR("factorial");
DATA(insert OID = 1393 ( factorial PGNSP PGUID 12 f f t f i 1 20 "20" int8fac - _null_ ));
DATA(insert OID = 1376 ( factorial PGNSP PGUID 12 f f t f i 1 1700 "20" numeric_fac - _null_ ));
DESCR("factorial");
DATA(insert OID = 1394 ( abs PGNSP PGUID 12 f f t f i 1 700 "700" float4abs - _null_ ));
DESCR("absolute value");

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@ -7,7 +7,7 @@
* Portions Copyright (c) 1996-2003, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
* $PostgreSQL: pgsql/src/include/utils/builtins.h,v 1.230 2003/11/29 22:41:15 pgsql Exp $
* $PostgreSQL: pgsql/src/include/utils/builtins.h,v 1.231 2003/12/01 21:52:38 momjian Exp $
*
*-------------------------------------------------------------------------
*/
@ -159,8 +159,6 @@ extern Datum int4mod(PG_FUNCTION_ARGS);
extern Datum int2mod(PG_FUNCTION_ARGS);
extern Datum int24mod(PG_FUNCTION_ARGS);
extern Datum int42mod(PG_FUNCTION_ARGS);
extern Datum int4fac(PG_FUNCTION_ARGS);
extern Datum int2fac(PG_FUNCTION_ARGS);
extern Datum int2larger(PG_FUNCTION_ARGS);
extern Datum int2smaller(PG_FUNCTION_ARGS);
extern Datum int4larger(PG_FUNCTION_ARGS);
@ -720,6 +718,7 @@ extern Datum numeric_mod(PG_FUNCTION_ARGS);
extern Datum numeric_inc(PG_FUNCTION_ARGS);
extern Datum numeric_smaller(PG_FUNCTION_ARGS);
extern Datum numeric_larger(PG_FUNCTION_ARGS);
extern Datum numeric_fac(PG_FUNCTION_ARGS);
extern Datum numeric_sqrt(PG_FUNCTION_ARGS);
extern Datum numeric_exp(PG_FUNCTION_ARGS);
extern Datum numeric_ln(PG_FUNCTION_ARGS);

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@ -7,7 +7,7 @@
* Portions Copyright (c) 1996-2003, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
* $PostgreSQL: pgsql/src/include/utils/int8.h,v 1.39 2003/11/29 22:41:15 pgsql Exp $
* $PostgreSQL: pgsql/src/include/utils/int8.h,v 1.40 2003/12/01 21:52:38 momjian Exp $
*
* NOTES
* These data types are supported on all 64-bit architectures, and may
@ -72,7 +72,6 @@ extern Datum int8mi(PG_FUNCTION_ARGS);
extern Datum int8mul(PG_FUNCTION_ARGS);
extern Datum int8div(PG_FUNCTION_ARGS);
extern Datum int8abs(PG_FUNCTION_ARGS);
extern Datum int8fac(PG_FUNCTION_ARGS);
extern Datum int8mod(PG_FUNCTION_ARGS);
extern Datum int8inc(PG_FUNCTION_ARGS);
extern Datum int8larger(PG_FUNCTION_ARGS);

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@ -15,19 +15,17 @@ CREATE OPERATOR <% (
negator = >=%
);
CREATE OPERATOR @#@ (
rightarg = int4, -- left unary
procedure = int4fac
rightarg = int8, -- left unary
procedure = numeric_fac
);
CREATE OPERATOR #@# (
leftarg = int4, -- right unary
procedure = int4fac
leftarg = int8, -- right unary
procedure = numeric_fac
);
CREATE OPERATOR #%# (
leftarg = int4, -- right unary
procedure = int4fac
leftarg = int8, -- right unary
procedure = numeric_fac
);
-- Test comments
COMMENT ON OPERATOR ###### (int4, NONE) IS 'bad right unary';
ERROR: operator does not exist: integer ######
COMMENT ON OPERATOR #%# (int4, NONE) IS 'right unary';
COMMENT ON OPERATOR #%# (int4, NONE) IS NULL;

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@ -18,23 +18,21 @@ CREATE OPERATOR <% (
);
CREATE OPERATOR @#@ (
rightarg = int4, -- left unary
procedure = int4fac
rightarg = int8, -- left unary
procedure = numeric_fac
);
CREATE OPERATOR #@# (
leftarg = int4, -- right unary
procedure = int4fac
leftarg = int8, -- right unary
procedure = numeric_fac
);
CREATE OPERATOR #%# (
leftarg = int4, -- right unary
procedure = int4fac
leftarg = int8, -- right unary
procedure = numeric_fac
);
-- Test comments
COMMENT ON OPERATOR ###### (int4, NONE) IS 'bad right unary';
COMMENT ON OPERATOR #%# (int4, NONE) IS 'right unary';
COMMENT ON OPERATOR #%# (int4, NONE) IS NULL;