mirror of
https://git.postgresql.org/git/postgresql.git
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1058 lines
22 KiB
C
1058 lines
22 KiB
C
/*
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* contrib/seg/seg.c
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*
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******************************************************************************
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This file contains routines that can be bound to a Postgres backend and
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called by the backend in the process of processing queries. The calling
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format for these routines is dictated by Postgres architecture.
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******************************************************************************/
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#include "postgres.h"
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#include <float.h>
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#include "access/gist.h"
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#include "access/skey.h"
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#include "segdata.h"
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/*
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#define GIST_DEBUG
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#define GIST_QUERY_DEBUG
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*/
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PG_MODULE_MAGIC;
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extern int seg_yyparse();
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extern void seg_yyerror(const char *message);
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extern void seg_scanner_init(const char *str);
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extern void seg_scanner_finish(void);
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/*
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extern int seg_yydebug;
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*/
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/*
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* Auxiliary data structure for picksplit method.
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*/
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typedef struct
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{
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float center;
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OffsetNumber index;
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SEG *data;
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} gseg_picksplit_item;
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/*
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** Input/Output routines
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*/
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PG_FUNCTION_INFO_V1(seg_in);
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PG_FUNCTION_INFO_V1(seg_out);
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PG_FUNCTION_INFO_V1(seg_size);
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PG_FUNCTION_INFO_V1(seg_lower);
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PG_FUNCTION_INFO_V1(seg_upper);
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PG_FUNCTION_INFO_V1(seg_center);
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Datum seg_in(PG_FUNCTION_ARGS);
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Datum seg_out(PG_FUNCTION_ARGS);
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Datum seg_size(PG_FUNCTION_ARGS);
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Datum seg_lower(PG_FUNCTION_ARGS);
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Datum seg_upper(PG_FUNCTION_ARGS);
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Datum seg_center(PG_FUNCTION_ARGS);
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/*
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** GiST support methods
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*/
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bool gseg_consistent(GISTENTRY *entry,
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SEG *query,
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StrategyNumber strategy,
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Oid subtype,
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bool *recheck);
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GISTENTRY *gseg_compress(GISTENTRY *entry);
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GISTENTRY *gseg_decompress(GISTENTRY *entry);
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float *gseg_penalty(GISTENTRY *origentry, GISTENTRY *newentry, float *result);
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GIST_SPLITVEC *gseg_picksplit(GistEntryVector *entryvec, GIST_SPLITVEC *v);
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bool gseg_leaf_consistent(SEG *key, SEG *query, StrategyNumber strategy);
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bool gseg_internal_consistent(SEG *key, SEG *query, StrategyNumber strategy);
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SEG *gseg_union(GistEntryVector *entryvec, int *sizep);
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SEG *gseg_binary_union(SEG *r1, SEG *r2, int *sizep);
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bool *gseg_same(SEG *b1, SEG *b2, bool *result);
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/*
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** R-tree support functions
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*/
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bool seg_same(SEG *a, SEG *b);
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bool seg_contains_int(SEG *a, int *b);
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bool seg_contains_float4(SEG *a, float4 *b);
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bool seg_contains_float8(SEG *a, float8 *b);
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bool seg_contains(SEG *a, SEG *b);
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bool seg_contained(SEG *a, SEG *b);
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bool seg_overlap(SEG *a, SEG *b);
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bool seg_left(SEG *a, SEG *b);
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bool seg_over_left(SEG *a, SEG *b);
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bool seg_right(SEG *a, SEG *b);
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bool seg_over_right(SEG *a, SEG *b);
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SEG *seg_union(SEG *a, SEG *b);
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SEG *seg_inter(SEG *a, SEG *b);
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void rt_seg_size(SEG *a, float *sz);
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/*
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** Various operators
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*/
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int32 seg_cmp(SEG *a, SEG *b);
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bool seg_lt(SEG *a, SEG *b);
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bool seg_le(SEG *a, SEG *b);
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bool seg_gt(SEG *a, SEG *b);
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bool seg_ge(SEG *a, SEG *b);
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bool seg_different(SEG *a, SEG *b);
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/*
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** Auxiliary funxtions
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*/
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static int restore(char *s, float val, int n);
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int significant_digits(char *s);
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/*****************************************************************************
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* Input/Output functions
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*****************************************************************************/
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Datum
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seg_in(PG_FUNCTION_ARGS)
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{
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char *str = PG_GETARG_CSTRING(0);
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SEG *result = palloc(sizeof(SEG));
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seg_scanner_init(str);
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if (seg_yyparse(result) != 0)
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seg_yyerror("bogus input");
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seg_scanner_finish();
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PG_RETURN_POINTER(result);
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}
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Datum
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seg_out(PG_FUNCTION_ARGS)
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{
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SEG *seg = (SEG *) PG_GETARG_POINTER(0);
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char *result;
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char *p;
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p = result = (char *) palloc(40);
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if (seg->l_ext == '>' || seg->l_ext == '<' || seg->l_ext == '~')
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p += sprintf(p, "%c", seg->l_ext);
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if (seg->lower == seg->upper && seg->l_ext == seg->u_ext)
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{
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/*
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* indicates that this interval was built by seg_in off a single point
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*/
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p += restore(p, seg->lower, seg->l_sigd);
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}
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else
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{
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if (seg->l_ext != '-')
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{
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/* print the lower boundary if exists */
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p += restore(p, seg->lower, seg->l_sigd);
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p += sprintf(p, " ");
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}
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p += sprintf(p, "..");
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if (seg->u_ext != '-')
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{
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/* print the upper boundary if exists */
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p += sprintf(p, " ");
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if (seg->u_ext == '>' || seg->u_ext == '<' || seg->l_ext == '~')
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p += sprintf(p, "%c", seg->u_ext);
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p += restore(p, seg->upper, seg->u_sigd);
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}
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}
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PG_RETURN_CSTRING(result);
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}
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Datum
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seg_center(PG_FUNCTION_ARGS)
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{
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SEG *seg = (SEG *) PG_GETARG_POINTER(0);
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PG_RETURN_FLOAT4(((float) seg->lower + (float) seg->upper) / 2.0);
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}
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Datum
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seg_lower(PG_FUNCTION_ARGS)
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{
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SEG *seg = (SEG *) PG_GETARG_POINTER(0);
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PG_RETURN_FLOAT4(seg->lower);
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}
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Datum
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seg_upper(PG_FUNCTION_ARGS)
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{
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SEG *seg = (SEG *) PG_GETARG_POINTER(0);
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PG_RETURN_FLOAT4(seg->upper);
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}
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/*****************************************************************************
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* GiST functions
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*****************************************************************************/
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/*
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** The GiST Consistent method for segments
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** Should return false if for all data items x below entry,
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** the predicate x op query == FALSE, where op is the oper
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** corresponding to strategy in the pg_amop table.
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*/
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bool
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gseg_consistent(GISTENTRY *entry,
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SEG *query,
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StrategyNumber strategy,
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Oid subtype,
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bool *recheck)
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{
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/* All cases served by this function are exact */
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*recheck = false;
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/*
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* if entry is not leaf, use gseg_internal_consistent, else use
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* gseg_leaf_consistent
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*/
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if (GIST_LEAF(entry))
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return (gseg_leaf_consistent((SEG *) DatumGetPointer(entry->key), query, strategy));
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else
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return (gseg_internal_consistent((SEG *) DatumGetPointer(entry->key), query, strategy));
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}
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/*
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** The GiST Union method for segments
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** returns the minimal bounding seg that encloses all the entries in entryvec
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*/
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SEG *
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gseg_union(GistEntryVector *entryvec, int *sizep)
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{
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int numranges,
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i;
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SEG *out = (SEG *) NULL;
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SEG *tmp;
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#ifdef GIST_DEBUG
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fprintf(stderr, "union\n");
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#endif
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numranges = entryvec->n;
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tmp = (SEG *) DatumGetPointer(entryvec->vector[0].key);
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*sizep = sizeof(SEG);
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for (i = 1; i < numranges; i++)
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{
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out = gseg_binary_union(tmp, (SEG *)
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DatumGetPointer(entryvec->vector[i].key),
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sizep);
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tmp = out;
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}
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return (out);
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}
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/*
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** GiST Compress and Decompress methods for segments
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** do not do anything.
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*/
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GISTENTRY *
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gseg_compress(GISTENTRY *entry)
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{
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return (entry);
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}
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GISTENTRY *
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gseg_decompress(GISTENTRY *entry)
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{
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return (entry);
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}
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/*
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** The GiST Penalty method for segments
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** As in the R-tree paper, we use change in area as our penalty metric
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*/
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float *
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gseg_penalty(GISTENTRY *origentry, GISTENTRY *newentry, float *result)
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{
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SEG *ud;
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float tmp1,
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tmp2;
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ud = seg_union((SEG *) DatumGetPointer(origentry->key),
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(SEG *) DatumGetPointer(newentry->key));
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rt_seg_size(ud, &tmp1);
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rt_seg_size((SEG *) DatumGetPointer(origentry->key), &tmp2);
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*result = tmp1 - tmp2;
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#ifdef GIST_DEBUG
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fprintf(stderr, "penalty\n");
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fprintf(stderr, "\t%g\n", *result);
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#endif
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return (result);
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}
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/*
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* Compare function for gseg_picksplit_item: sort by center.
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*/
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static int
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gseg_picksplit_item_cmp(const void *a, const void *b)
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{
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const gseg_picksplit_item *i1 = (const gseg_picksplit_item *) a;
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const gseg_picksplit_item *i2 = (const gseg_picksplit_item *) b;
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if (i1->center < i2->center)
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return -1;
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else if (i1->center == i2->center)
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return 0;
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else
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return 1;
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}
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/*
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* The GiST PickSplit method for segments
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*
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* We used to use Guttman's split algorithm here, but since the data is 1-D
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* it's easier and more robust to just sort the segments by center-point and
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* split at the middle.
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*/
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GIST_SPLITVEC *
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gseg_picksplit(GistEntryVector *entryvec,
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GIST_SPLITVEC *v)
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{
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int i;
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SEG *datum_l,
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*datum_r,
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*seg;
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gseg_picksplit_item *sort_items;
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OffsetNumber *left,
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*right;
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OffsetNumber maxoff;
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OffsetNumber firstright;
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#ifdef GIST_DEBUG
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fprintf(stderr, "picksplit\n");
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#endif
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/* Valid items in entryvec->vector[] are indexed 1..maxoff */
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maxoff = entryvec->n - 1;
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/*
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* Prepare the auxiliary array and sort it.
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*/
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sort_items = (gseg_picksplit_item *)
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palloc(maxoff * sizeof(gseg_picksplit_item));
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for (i = 1; i <= maxoff; i++)
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{
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seg = (SEG *) DatumGetPointer(entryvec->vector[i].key);
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/* center calculation is done this way to avoid possible overflow */
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sort_items[i - 1].center = seg->lower * 0.5f + seg->upper * 0.5f;
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sort_items[i - 1].index = i;
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sort_items[i - 1].data = seg;
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}
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qsort(sort_items, maxoff, sizeof(gseg_picksplit_item),
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gseg_picksplit_item_cmp);
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/* sort items below "firstright" will go into the left side */
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firstright = maxoff / 2;
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v->spl_left = (OffsetNumber *) palloc(maxoff * sizeof(OffsetNumber));
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v->spl_right = (OffsetNumber *) palloc(maxoff * sizeof(OffsetNumber));
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left = v->spl_left;
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v->spl_nleft = 0;
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right = v->spl_right;
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v->spl_nright = 0;
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/*
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* Emit segments to the left output page, and compute its bounding box.
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*/
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datum_l = (SEG *) palloc(sizeof(SEG));
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memcpy(datum_l, sort_items[0].data, sizeof(SEG));
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*left++ = sort_items[0].index;
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v->spl_nleft++;
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for (i = 1; i < firstright; i++)
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{
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datum_l = seg_union(datum_l, sort_items[i].data);
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*left++ = sort_items[i].index;
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v->spl_nleft++;
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}
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/*
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* Likewise for the right page.
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*/
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datum_r = (SEG *) palloc(sizeof(SEG));
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memcpy(datum_r, sort_items[firstright].data, sizeof(SEG));
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*right++ = sort_items[firstright].index;
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v->spl_nright++;
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for (i = firstright + 1; i < maxoff; i++)
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{
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datum_r = seg_union(datum_r, sort_items[i].data);
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*right++ = sort_items[i].index;
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v->spl_nright++;
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}
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v->spl_ldatum = PointerGetDatum(datum_l);
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v->spl_rdatum = PointerGetDatum(datum_r);
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return v;
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}
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/*
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** Equality methods
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*/
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bool *
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gseg_same(SEG *b1, SEG *b2, bool *result)
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{
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if (seg_same(b1, b2))
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*result = TRUE;
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else
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*result = FALSE;
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#ifdef GIST_DEBUG
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fprintf(stderr, "same: %s\n", (*result ? "TRUE" : "FALSE"));
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#endif
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return (result);
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}
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/*
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** SUPPORT ROUTINES
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*/
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bool
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gseg_leaf_consistent(SEG *key,
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SEG *query,
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StrategyNumber strategy)
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{
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bool retval;
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#ifdef GIST_QUERY_DEBUG
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fprintf(stderr, "leaf_consistent, %d\n", strategy);
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#endif
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switch (strategy)
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{
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case RTLeftStrategyNumber:
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retval = (bool) seg_left(key, query);
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break;
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case RTOverLeftStrategyNumber:
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retval = (bool) seg_over_left(key, query);
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break;
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case RTOverlapStrategyNumber:
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retval = (bool) seg_overlap(key, query);
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break;
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case RTOverRightStrategyNumber:
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retval = (bool) seg_over_right(key, query);
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break;
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case RTRightStrategyNumber:
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retval = (bool) seg_right(key, query);
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break;
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case RTSameStrategyNumber:
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retval = (bool) seg_same(key, query);
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break;
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case RTContainsStrategyNumber:
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case RTOldContainsStrategyNumber:
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retval = (bool) seg_contains(key, query);
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break;
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case RTContainedByStrategyNumber:
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case RTOldContainedByStrategyNumber:
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retval = (bool) seg_contained(key, query);
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break;
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default:
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retval = FALSE;
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}
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return (retval);
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}
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bool
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gseg_internal_consistent(SEG *key,
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SEG *query,
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StrategyNumber strategy)
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{
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bool retval;
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#ifdef GIST_QUERY_DEBUG
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fprintf(stderr, "internal_consistent, %d\n", strategy);
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#endif
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switch (strategy)
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{
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case RTLeftStrategyNumber:
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retval = (bool) !seg_over_right(key, query);
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break;
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case RTOverLeftStrategyNumber:
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retval = (bool) !seg_right(key, query);
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break;
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case RTOverlapStrategyNumber:
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retval = (bool) seg_overlap(key, query);
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break;
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case RTOverRightStrategyNumber:
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retval = (bool) !seg_left(key, query);
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break;
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case RTRightStrategyNumber:
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retval = (bool) !seg_over_left(key, query);
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break;
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case RTSameStrategyNumber:
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case RTContainsStrategyNumber:
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case RTOldContainsStrategyNumber:
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retval = (bool) seg_contains(key, query);
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break;
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case RTContainedByStrategyNumber:
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case RTOldContainedByStrategyNumber:
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retval = (bool) seg_overlap(key, query);
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break;
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default:
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retval = FALSE;
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}
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return (retval);
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}
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SEG *
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gseg_binary_union(SEG *r1, SEG *r2, int *sizep)
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{
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SEG *retval;
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retval = seg_union(r1, r2);
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*sizep = sizeof(SEG);
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return (retval);
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}
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bool
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seg_contains(SEG *a, SEG *b)
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{
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return ((a->lower <= b->lower) && (a->upper >= b->upper));
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}
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bool
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seg_contained(SEG *a, SEG *b)
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{
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return (seg_contains(b, a));
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}
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/*****************************************************************************
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* Operator class for R-tree indexing
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*****************************************************************************/
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bool
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seg_same(SEG *a, SEG *b)
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{
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return seg_cmp(a, b) == 0;
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}
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/* seg_overlap -- does a overlap b?
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*/
|
|
bool
|
|
seg_overlap(SEG *a, SEG *b)
|
|
{
|
|
return (
|
|
((a->upper >= b->upper) && (a->lower <= b->upper))
|
|
||
|
|
((b->upper >= a->upper) && (b->lower <= a->upper))
|
|
);
|
|
}
|
|
|
|
/* seg_overleft -- is the right edge of (a) located at or left of the right edge of (b)?
|
|
*/
|
|
bool
|
|
seg_over_left(SEG *a, SEG *b)
|
|
{
|
|
return (a->upper <= b->upper);
|
|
}
|
|
|
|
/* seg_left -- is (a) entirely on the left of (b)?
|
|
*/
|
|
bool
|
|
seg_left(SEG *a, SEG *b)
|
|
{
|
|
return (a->upper < b->lower);
|
|
}
|
|
|
|
/* seg_right -- is (a) entirely on the right of (b)?
|
|
*/
|
|
bool
|
|
seg_right(SEG *a, SEG *b)
|
|
{
|
|
return (a->lower > b->upper);
|
|
}
|
|
|
|
/* seg_overright -- is the left edge of (a) located at or right of the left edge of (b)?
|
|
*/
|
|
bool
|
|
seg_over_right(SEG *a, SEG *b)
|
|
{
|
|
return (a->lower >= b->lower);
|
|
}
|
|
|
|
|
|
SEG *
|
|
seg_union(SEG *a, SEG *b)
|
|
{
|
|
SEG *n;
|
|
|
|
n = (SEG *) palloc(sizeof(*n));
|
|
|
|
/* take max of upper endpoints */
|
|
if (a->upper > b->upper)
|
|
{
|
|
n->upper = a->upper;
|
|
n->u_sigd = a->u_sigd;
|
|
n->u_ext = a->u_ext;
|
|
}
|
|
else
|
|
{
|
|
n->upper = b->upper;
|
|
n->u_sigd = b->u_sigd;
|
|
n->u_ext = b->u_ext;
|
|
}
|
|
|
|
/* take min of lower endpoints */
|
|
if (a->lower < b->lower)
|
|
{
|
|
n->lower = a->lower;
|
|
n->l_sigd = a->l_sigd;
|
|
n->l_ext = a->l_ext;
|
|
}
|
|
else
|
|
{
|
|
n->lower = b->lower;
|
|
n->l_sigd = b->l_sigd;
|
|
n->l_ext = b->l_ext;
|
|
}
|
|
|
|
return (n);
|
|
}
|
|
|
|
|
|
SEG *
|
|
seg_inter(SEG *a, SEG *b)
|
|
{
|
|
SEG *n;
|
|
|
|
n = (SEG *) palloc(sizeof(*n));
|
|
|
|
/* take min of upper endpoints */
|
|
if (a->upper < b->upper)
|
|
{
|
|
n->upper = a->upper;
|
|
n->u_sigd = a->u_sigd;
|
|
n->u_ext = a->u_ext;
|
|
}
|
|
else
|
|
{
|
|
n->upper = b->upper;
|
|
n->u_sigd = b->u_sigd;
|
|
n->u_ext = b->u_ext;
|
|
}
|
|
|
|
/* take max of lower endpoints */
|
|
if (a->lower > b->lower)
|
|
{
|
|
n->lower = a->lower;
|
|
n->l_sigd = a->l_sigd;
|
|
n->l_ext = a->l_ext;
|
|
}
|
|
else
|
|
{
|
|
n->lower = b->lower;
|
|
n->l_sigd = b->l_sigd;
|
|
n->l_ext = b->l_ext;
|
|
}
|
|
|
|
return (n);
|
|
}
|
|
|
|
void
|
|
rt_seg_size(SEG *a, float *size)
|
|
{
|
|
if (a == (SEG *) NULL || a->upper <= a->lower)
|
|
*size = 0.0;
|
|
else
|
|
*size = (float) Abs(a->upper - a->lower);
|
|
|
|
return;
|
|
}
|
|
|
|
Datum
|
|
seg_size(PG_FUNCTION_ARGS)
|
|
{
|
|
SEG *seg = (SEG *) PG_GETARG_POINTER(0);
|
|
|
|
PG_RETURN_FLOAT4((float) Abs(seg->upper - seg->lower));
|
|
}
|
|
|
|
|
|
/*****************************************************************************
|
|
* Miscellaneous operators
|
|
*****************************************************************************/
|
|
int32
|
|
seg_cmp(SEG *a, SEG *b)
|
|
{
|
|
/*
|
|
* First compare on lower boundary position
|
|
*/
|
|
if (a->lower < b->lower)
|
|
return -1;
|
|
if (a->lower > b->lower)
|
|
return 1;
|
|
|
|
/*
|
|
* a->lower == b->lower, so consider type of boundary.
|
|
*
|
|
* A '-' lower bound is < any other kind (this could only be relevant if
|
|
* -HUGE_VAL is used as a regular data value). A '<' lower bound is < any
|
|
* other kind except '-'. A '>' lower bound is > any other kind.
|
|
*/
|
|
if (a->l_ext != b->l_ext)
|
|
{
|
|
if (a->l_ext == '-')
|
|
return -1;
|
|
if (b->l_ext == '-')
|
|
return 1;
|
|
if (a->l_ext == '<')
|
|
return -1;
|
|
if (b->l_ext == '<')
|
|
return 1;
|
|
if (a->l_ext == '>')
|
|
return 1;
|
|
if (b->l_ext == '>')
|
|
return -1;
|
|
}
|
|
|
|
/*
|
|
* For other boundary types, consider # of significant digits first.
|
|
*/
|
|
if (a->l_sigd < b->l_sigd) /* (a) is blurred and is likely to include (b) */
|
|
return -1;
|
|
if (a->l_sigd > b->l_sigd) /* (a) is less blurred and is likely to be
|
|
* included in (b) */
|
|
return 1;
|
|
|
|
/*
|
|
* For same # of digits, an approximate boundary is more blurred than
|
|
* exact.
|
|
*/
|
|
if (a->l_ext != b->l_ext)
|
|
{
|
|
if (a->l_ext == '~') /* (a) is approximate, while (b) is exact */
|
|
return -1;
|
|
if (b->l_ext == '~')
|
|
return 1;
|
|
/* can't get here unless data is corrupt */
|
|
elog(ERROR, "bogus lower boundary types %d %d",
|
|
(int) a->l_ext, (int) b->l_ext);
|
|
}
|
|
|
|
/* at this point, the lower boundaries are identical */
|
|
|
|
/*
|
|
* First compare on upper boundary position
|
|
*/
|
|
if (a->upper < b->upper)
|
|
return -1;
|
|
if (a->upper > b->upper)
|
|
return 1;
|
|
|
|
/*
|
|
* a->upper == b->upper, so consider type of boundary.
|
|
*
|
|
* A '-' upper bound is > any other kind (this could only be relevant if
|
|
* HUGE_VAL is used as a regular data value). A '<' upper bound is < any
|
|
* other kind. A '>' upper bound is > any other kind except '-'.
|
|
*/
|
|
if (a->u_ext != b->u_ext)
|
|
{
|
|
if (a->u_ext == '-')
|
|
return 1;
|
|
if (b->u_ext == '-')
|
|
return -1;
|
|
if (a->u_ext == '<')
|
|
return -1;
|
|
if (b->u_ext == '<')
|
|
return 1;
|
|
if (a->u_ext == '>')
|
|
return 1;
|
|
if (b->u_ext == '>')
|
|
return -1;
|
|
}
|
|
|
|
/*
|
|
* For other boundary types, consider # of significant digits first. Note
|
|
* result here is converse of the lower-boundary case.
|
|
*/
|
|
if (a->u_sigd < b->u_sigd) /* (a) is blurred and is likely to include (b) */
|
|
return 1;
|
|
if (a->u_sigd > b->u_sigd) /* (a) is less blurred and is likely to be
|
|
* included in (b) */
|
|
return -1;
|
|
|
|
/*
|
|
* For same # of digits, an approximate boundary is more blurred than
|
|
* exact. Again, result is converse of lower-boundary case.
|
|
*/
|
|
if (a->u_ext != b->u_ext)
|
|
{
|
|
if (a->u_ext == '~') /* (a) is approximate, while (b) is exact */
|
|
return 1;
|
|
if (b->u_ext == '~')
|
|
return -1;
|
|
/* can't get here unless data is corrupt */
|
|
elog(ERROR, "bogus upper boundary types %d %d",
|
|
(int) a->u_ext, (int) b->u_ext);
|
|
}
|
|
|
|
return 0;
|
|
}
|
|
|
|
bool
|
|
seg_lt(SEG *a, SEG *b)
|
|
{
|
|
return seg_cmp(a, b) < 0;
|
|
}
|
|
|
|
bool
|
|
seg_le(SEG *a, SEG *b)
|
|
{
|
|
return seg_cmp(a, b) <= 0;
|
|
}
|
|
|
|
bool
|
|
seg_gt(SEG *a, SEG *b)
|
|
{
|
|
return seg_cmp(a, b) > 0;
|
|
}
|
|
|
|
bool
|
|
seg_ge(SEG *a, SEG *b)
|
|
{
|
|
return seg_cmp(a, b) >= 0;
|
|
}
|
|
|
|
bool
|
|
seg_different(SEG *a, SEG *b)
|
|
{
|
|
return seg_cmp(a, b) != 0;
|
|
}
|
|
|
|
|
|
|
|
/*****************************************************************************
|
|
* Auxiliary functions
|
|
*****************************************************************************/
|
|
|
|
/* The purpose of this routine is to print the floating point
|
|
* value with exact number of significant digits. Its behaviour
|
|
* is similar to %.ng except it prints 8.00 where %.ng would
|
|
* print 8
|
|
*/
|
|
static int
|
|
restore(char *result, float val, int n)
|
|
{
|
|
static char efmt[8] = {'%', '-', '1', '5', '.', '#', 'e', 0};
|
|
char buf[25] = {
|
|
'0', '0', '0', '0', '0',
|
|
'0', '0', '0', '0', '0',
|
|
'0', '0', '0', '0', '0',
|
|
'0', '0', '0', '0', '0',
|
|
'0', '0', '0', '0', '\0'
|
|
};
|
|
char *p;
|
|
int exp;
|
|
int i,
|
|
dp,
|
|
sign;
|
|
|
|
/*
|
|
* put a cap on the number of siugnificant digits to avoid nonsense in the
|
|
* output
|
|
*/
|
|
n = Min(n, FLT_DIG);
|
|
|
|
/* remember the sign */
|
|
sign = (val < 0 ? 1 : 0);
|
|
|
|
efmt[5] = '0' + (n - 1) % 10; /* makes %-15.(n-1)e -- this format
|
|
* guarantees that the exponent is
|
|
* always present */
|
|
|
|
sprintf(result, efmt, val);
|
|
|
|
/* trim the spaces left by the %e */
|
|
for (p = result; *p != ' '; p++);
|
|
*p = '\0';
|
|
|
|
/* get the exponent */
|
|
strtok(pstrdup(result), "e");
|
|
exp = atoi(strtok(NULL, "e"));
|
|
|
|
if (exp == 0)
|
|
{
|
|
/* use the supplied mantyssa with sign */
|
|
strcpy((char *) strchr(result, 'e'), "");
|
|
}
|
|
else
|
|
{
|
|
if (Abs(exp) <= 4)
|
|
{
|
|
/*
|
|
* remove the decimal point from the mantyssa and write the digits
|
|
* to the buf array
|
|
*/
|
|
for (p = result + sign, i = 10, dp = 0; *p != 'e'; p++, i++)
|
|
{
|
|
buf[i] = *p;
|
|
if (*p == '.')
|
|
{
|
|
dp = i--; /* skip the decimal point */
|
|
}
|
|
}
|
|
if (dp == 0)
|
|
dp = i--; /* no decimal point was found in the above
|
|
* for() loop */
|
|
|
|
if (exp > 0)
|
|
{
|
|
if (dp - 10 + exp >= n)
|
|
{
|
|
/*
|
|
* the decimal point is behind the last significant digit;
|
|
* the digits in between must be converted to the exponent
|
|
* and the decimal point placed after the first digit
|
|
*/
|
|
exp = dp - 10 + exp - n;
|
|
buf[10 + n] = '\0';
|
|
|
|
/* insert the decimal point */
|
|
if (n > 1)
|
|
{
|
|
dp = 11;
|
|
for (i = 23; i > dp; i--)
|
|
buf[i] = buf[i - 1];
|
|
buf[dp] = '.';
|
|
}
|
|
|
|
/*
|
|
* adjust the exponent by the number of digits after the
|
|
* decimal point
|
|
*/
|
|
if (n > 1)
|
|
sprintf(&buf[11 + n], "e%d", exp + n - 1);
|
|
else
|
|
sprintf(&buf[11], "e%d", exp + n - 1);
|
|
|
|
if (sign)
|
|
{
|
|
buf[9] = '-';
|
|
strcpy(result, &buf[9]);
|
|
}
|
|
else
|
|
strcpy(result, &buf[10]);
|
|
}
|
|
else
|
|
{ /* insert the decimal point */
|
|
dp += exp;
|
|
for (i = 23; i > dp; i--)
|
|
buf[i] = buf[i - 1];
|
|
buf[11 + n] = '\0';
|
|
buf[dp] = '.';
|
|
if (sign)
|
|
{
|
|
buf[9] = '-';
|
|
strcpy(result, &buf[9]);
|
|
}
|
|
else
|
|
strcpy(result, &buf[10]);
|
|
}
|
|
}
|
|
else
|
|
{ /* exp <= 0 */
|
|
dp += exp - 1;
|
|
buf[10 + n] = '\0';
|
|
buf[dp] = '.';
|
|
if (sign)
|
|
{
|
|
buf[dp - 2] = '-';
|
|
strcpy(result, &buf[dp - 2]);
|
|
}
|
|
else
|
|
strcpy(result, &buf[dp - 1]);
|
|
}
|
|
}
|
|
|
|
/* do nothing for Abs(exp) > 4; %e must be OK */
|
|
/* just get rid of zeroes after [eE]- and +zeroes after [Ee]. */
|
|
|
|
/* ... this is not done yet. */
|
|
}
|
|
return (strlen(result));
|
|
}
|
|
|
|
|
|
/*
|
|
** Miscellany
|
|
*/
|
|
|
|
bool
|
|
seg_contains_int(SEG *a, int *b)
|
|
{
|
|
return ((a->lower <= *b) && (a->upper >= *b));
|
|
}
|
|
|
|
bool
|
|
seg_contains_float4(SEG *a, float4 *b)
|
|
{
|
|
return ((a->lower <= *b) && (a->upper >= *b));
|
|
}
|
|
|
|
bool
|
|
seg_contains_float8(SEG *a, float8 *b)
|
|
{
|
|
return ((a->lower <= *b) && (a->upper >= *b));
|
|
}
|
|
|
|
/* find out the number of significant digits in a string representing
|
|
* a floating point number
|
|
*/
|
|
int
|
|
significant_digits(char *s)
|
|
{
|
|
char *p = s;
|
|
int n,
|
|
c,
|
|
zeroes;
|
|
|
|
zeroes = 1;
|
|
/* skip leading zeroes and sign */
|
|
for (c = *p; (c == '0' || c == '+' || c == '-') && c != 0; c = *(++p));
|
|
|
|
/* skip decimal point and following zeroes */
|
|
for (c = *p; (c == '0' || c == '.') && c != 0; c = *(++p))
|
|
{
|
|
if (c != '.')
|
|
zeroes++;
|
|
}
|
|
|
|
/* count significant digits (n) */
|
|
for (c = *p, n = 0; c != 0; c = *(++p))
|
|
{
|
|
if (!((c >= '0' && c <= '9') || (c == '.')))
|
|
break;
|
|
if (c != '.')
|
|
n++;
|
|
}
|
|
|
|
if (!n)
|
|
return (zeroes);
|
|
|
|
return (n);
|
|
}
|