| /* setoper.c: |
| * A set operation library |
| * created by Komei Fukuda, Nov.14, 1993 |
| * modified on December 5, 1994 |
| (set_card function replaced with a better code by David Bremner) |
| * last modified on June 1, 2000 |
| (set_fwrite_compl(), set_groundsize added. set_compl fixed.) |
| */ |
| |
| #include "setoper.h" |
| |
| #include <limits.h> |
| #define SETBITS (sizeof(long) * CHAR_BIT) |
| /* (Number of chars in a long) * (number of bits in a char) */ |
| |
| /* Definitions for optimized set_card function |
| by David Bremner bremner@cs.mcgill.ca |
| */ |
| |
| /* Caution!!! |
| Bremner's technique depends on the assumption that CHAR_BIT == 8. |
| */ |
| |
| #define LUTBLOCKS(set) (((set[0]-1)/SETBITS+1)*(sizeof(long)/sizeof(set_card_lut_t))) |
| |
| static unsigned char set_card_lut[]={ |
| 0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5, |
| 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, |
| 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, |
| 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, |
| 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, |
| 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, |
| 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, |
| 3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8}; |
| /* End of Definitions for optimized set_card */ |
| |
| unsigned long set_blocks(long len) |
| { |
| long blocks=1L; |
| |
| if (len>0) blocks=((long)len-1)/SETBITS+2; |
| return blocks; |
| } |
| |
| void set_initialize(set_type *setp, long length) |
| /* Make a set with a given bit lengths */ |
| { |
| long i,forlim1,len; |
| |
| if (length<=0) len=1;else len=length; |
| /* if negative length is requested, it generates the shortest length */ |
| |
| forlim1=set_blocks(len); |
| *setp=(unsigned long *) calloc(forlim1, sizeof i); |
| (*setp)[0]=(unsigned long) len; /* size of the ground set */ |
| for (i=1; i<forlim1; i++) |
| (*setp)[i]=0U; |
| } |
| |
| void set_free(set_type set) |
| /* Free the space created with the set pointer set*/ |
| { |
| free(set); |
| } |
| |
| void set_emptyset(set_type set) |
| /* Set set to be the emptyset */ |
| { |
| long i,forlim; |
| |
| forlim=set_blocks(set[0])-1; |
| for (i=1; i<=forlim; i++) |
| set[i]=0U; |
| } |
| |
| void set_copy(set_type setcopy,set_type set) |
| /* Copy the set set[] to setcopy[] with setcopy[] length */ |
| { |
| long i,forlim; |
| |
| forlim=set_blocks(setcopy[0])-1; |
| for (i=1; i<=forlim; i++) |
| setcopy[i]=set[i]; |
| } |
| |
| void set_addelem(set_type set, long elem) |
| /* add elem only if it is within the set[] range */ |
| { |
| long i,j; |
| unsigned long change; |
| unsigned long one=1U; |
| |
| if (elem<=set[0]) |
| { |
| i=(elem-1)/SETBITS+1; |
| j=(elem-1)%SETBITS; |
| change= one << j; /* put 1 in jth position */ |
| set[i]=set[i] | change; |
| } |
| } |
| |
| void set_delelem(set_type set, long elem) |
| /* delete elem only if it is within the set[] range */ |
| { |
| long i,j; |
| unsigned long change; |
| unsigned long one=1U; |
| |
| if (elem<=set[0]) |
| { |
| i=(elem-1)/SETBITS+1; |
| j=(elem-1)%SETBITS; |
| change=one << j; /* put 1 in jth position */ |
| set[i]=(set[i] | change) ^ change; |
| } |
| } |
| |
| void set_int(set_type set,set_type set1,set_type set2) |
| /* Set intersection, assuming set1 and set2 have the same length as set */ |
| { |
| long i,forlim; |
| |
| forlim=set_blocks(set[0])-1; |
| for (i=1;i<=forlim;i++) |
| set[i]=(set1[i] & set2[i]); |
| } |
| |
| void set_uni(set_type set,set_type set1,set_type set2) |
| /* Set union,assuming set1 and set2 have the same length as set */ |
| { |
| long i,forlim; |
| |
| forlim=set_blocks(set[0])-1; |
| for (i=1;i<=forlim;i++) |
| set[i]=set1[i] | set2[i]; |
| } |
| |
| void set_diff(set_type set,set_type set1,set_type set2) |
| /* Set difference se1/set2, assuming set1 and set2 have the same length as set */ |
| { |
| long i,forlim; |
| |
| forlim=set_blocks(set[0])-1; |
| for (i=1;i<=forlim;i++) |
| set[i]=set1[i] & (~set2[i]); |
| } |
| |
| void set_compl(set_type set,set_type set1) |
| /* set[] will be set to the complement of set1[] */ |
| { |
| long i,j,l,forlim; |
| unsigned long change; |
| unsigned long one=1U; |
| |
| forlim=set_blocks(set[0])-1; |
| for (i=1;i<=forlim;i++) |
| set[i]= ~set1[i]; |
| |
| /* the following is necessary to remove 1's in the unused bits. |
| Bremner's trick counts these bits as well. (000601KF) |
| */ |
| l=(set[0]-1)%SETBITS; /* the position of the last elem in the last block */ |
| for (j=l+1; j<=SETBITS-1; j++){ |
| change=one << j; |
| set[forlim]=(set[forlim] | change) ^ change; |
| } |
| } |
| |
| int set_subset(set_type set1,set_type set2) |
| /* Set containment check, set1 <= set2 */ |
| { |
| int yes=1; |
| long i,forlim; |
| |
| forlim=set_blocks(set2[0])-1; |
| for (i=1;i<=forlim && yes;i++) |
| if ((set1[i] | set2[i])!=set2[i]) |
| yes=0; |
| return yes; |
| } |
| |
| int set_member(long elem, set_type set) |
| /* Set membership check, elem in set */ |
| { |
| int yes=0; |
| long i,j; |
| unsigned long testset; |
| unsigned long one=1U; |
| |
| if (elem<=set[0]) |
| { |
| i=(elem-1)/SETBITS+1; |
| j=(elem-1)%SETBITS; |
| testset=set[i] | (one<<j); /* add elem to set[i] */ |
| if (testset==set[i]) |
| yes=1; |
| } |
| return yes; |
| } |
| |
| /*set cardinality, modified by David Bremner bremner@cs.mcgill.ca |
| to optimize for speed.*/ |
| long set_card(set_type set) |
| { |
| unsigned long block; |
| long car=0; |
| set_card_lut_t *p; |
| |
| p=(set_card_lut_t *)&set[1]; |
| for (block=0; block< LUTBLOCKS(set);block++) { |
| car+=set_card_lut[p[block]]; |
| } |
| return car; |
| } |
| |
| /* old safe cardinality code |
| long set_card(set_type set) |
| { |
| long elem,car=0; |
| |
| for (elem=1; elem<=set[0]; elem++) { |
| if (set_member(elem,set)) car++; |
| } |
| return car; |
| } |
| */ |
| |
| long set_groundsize(set_type set) |
| { |
| return set[0]; |
| } |
| |
| void set_write(set_type set) |
| { |
| long elem; |
| |
| for (elem=1;elem<=set[0];elem++) |
| { |
| if (set_member(elem,set)) |
| printf("%ld ",elem); |
| } |
| printf("\n"); |
| } |
| |
| void set_fwrite(FILE *f,set_type set) |
| { |
| long elem; |
| |
| for (elem=1;elem<=set[0];elem++) |
| { |
| if (set_member(elem,set)) |
| fprintf(f,"%ld ",elem); |
| } |
| fprintf(f,"\n"); |
| } |
| |
| void set_fwrite_compl(FILE *f,set_type set) |
| { |
| long elem; |
| |
| for (elem=1;elem<=set[0];elem++) |
| { |
| if (!set_member(elem,set)) |
| fprintf(f,"%ld ",elem); |
| } |
| fprintf(f,"\n"); |
| } |
| |
| void set_binwrite(set_type set) |
| { |
| int i,j; |
| long forlim; |
| unsigned long e1,e2; |
| |
| printf("max element = %ld,\n",set[0]); |
| forlim=set_blocks(set[0])-1; |
| for (i=forlim;i>=1;i--) |
| { |
| e1=e2=set[i]; |
| for (j=SETBITS-1;j>=0;j--) |
| { |
| e1=(e1>>j); |
| printf("%1ld",e1); |
| e1=e2-(e1<<j); |
| e2=e1; |
| } |
| printf(" "); |
| } |
| printf("\n"); |
| } |
| |
| |
| void set_fbinwrite(FILE *f,set_type set) |
| { |
| int i,j; |
| long forlim; |
| long e1,e2; |
| |
| printf("max element = %ld,\n",set[0]); |
| forlim=set_blocks(set[0])-1; |
| for (i=forlim;i>=1;i--) |
| { |
| e1=e2=set[i]; |
| for (j=SETBITS-1;j>=0;j--) |
| { |
| e1=(e1>>j); |
| fprintf(f,"%1ld",e1); |
| e1=e2-(e1<<j); |
| e2=e1; |
| } |
| fprintf(f," "); |
| } |
| fprintf(f,"\n"); |
| } |
| |
| /* End of the library: setoper.c */ |