Begun work on bignums; changed integer size to 64 bits
I'm fairly sure the size of a long int on my machines is 64 bit anyway, but for portability it needs to be explicit.
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14
src/arith/bignum.c
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14
src/arith/bignum.c
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@ -0,0 +1,14 @@
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/*
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* bignum.c
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*
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* Allocation of and operations on arbitrary precision integers.
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*
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* (c) 2018 Simon Brooke <simon@journeyman.cc>
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* Licensed under GPL version 2.0, or, at your option, any later version.
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*/
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/*
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* Bignums generally follow Knuth, vol 2, 4.3. The word size is 64 bits,
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* and words are stored in individual cons-space objects, comprising the
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* word itself and a pointer to the next word in the number.
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*/
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16
src/arith/bignum.h
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16
src/arith/bignum.h
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@ -0,0 +1,16 @@
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/**
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* bignum.h
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*
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* functions for bignum cells.
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*
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*
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* (c) 2017 Simon Brooke <simon@journeyman.cc>
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* Licensed under GPL version 2.0, or, at your option, any later version.
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*/
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#ifndef __bignum_h
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#define __bignum_h
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#endif
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@ -35,7 +35,7 @@ long double numeric_value( struct cons_pointer pointer ) {
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/**
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* Allocate an integer cell representing this value and return a cons pointer to it.
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*/
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struct cons_pointer make_integer( long int value ) {
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struct cons_pointer make_integer( int64_t value ) {
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struct cons_pointer result = allocate_cell( INTEGERTAG );
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struct cons_space_object *cell = &pointer2cell( result );
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cell->payload.integer.value = value;
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@ -16,6 +16,6 @@ long double numeric_value( struct cons_pointer pointer );
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/**
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* Allocate an integer cell representing this value and return a cons pointer to it.
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*/
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struct cons_pointer make_integer( long int value );
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struct cons_pointer make_integer( int64_t value );
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#endif
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@ -27,7 +27,7 @@
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#include "stack.h"
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long double to_long_double( struct cons_pointer arg );
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long int to_long_int( struct cons_pointer arg );
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int64_t to_long_int( struct cons_pointer arg );
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struct cons_pointer add_2( struct stack_frame *frame, struct cons_pointer arg1,
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struct cons_pointer arg2 );
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@ -97,8 +97,8 @@ long double to_long_double( struct cons_pointer arg ) {
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* if a ratio may legally have zero as a divisor, or something which is
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* not a number (or is a big number) is passed in.
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*/
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long int to_long_int( struct cons_pointer arg ) {
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long int result = 0;
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int64_t to_long_int( struct cons_pointer arg ) {
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int64_t result = 0;
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struct cons_space_object cell = pointer2cell( arg );
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switch ( cell.tag.value ) {
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case INTEGERTV:
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@ -125,10 +125,13 @@ struct cons_pointer add_2( struct stack_frame *frame, struct cons_pointer arg1,
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struct cons_space_object cell1 = pointer2cell( arg1 );
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struct cons_space_object cell2 = pointer2cell( arg2 );
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#ifdef DEBUG
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fputws( L"add_2( arg1 = ", stderr );
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print( stderr, arg1 );
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fputws( L"; arg2 = ", stderr );
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print( stderr, arg2 );
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fputws( L")\n", stderr);
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#endif
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if ( zerop( arg1 ) ) {
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result = arg2;
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@ -199,9 +202,11 @@ struct cons_pointer add_2( struct stack_frame *frame, struct cons_pointer arg1,
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}
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}
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#ifdef DEBUG
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fputws( L"}; => ", stderr );
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print( stderr, arg2 );
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fputws( L"\n", stderr );
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#endif
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return result;
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}
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@ -254,17 +259,19 @@ struct cons_pointer multiply_2( struct stack_frame *frame,
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struct cons_space_object cell1 = pointer2cell( arg1 );
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struct cons_space_object cell2 = pointer2cell( arg2 );
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#ifdef DEBUG
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fputws( L"multiply_2( arg1 = ", stderr );
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print( stderr, arg1 );
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fputws( L"; arg2 = ", stderr );
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print( stderr, arg2 );
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fputws( L")\n", stderr);
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#endif
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if ( zerop( arg1 ) ) {
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result = arg2;
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} else if ( zerop( arg2 ) ) {
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result = arg1;
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} else {
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switch ( cell1.tag.value ) {
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case EXCEPTIONTV:
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result = arg1;
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@ -328,9 +335,11 @@ struct cons_pointer multiply_2( struct stack_frame *frame,
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}
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}
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fputws( L"}; => ", stderr );
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#ifdef DEBUG
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fputws( L" => ", stderr );
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print( stderr, arg2 );
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fputws( L"\n", stderr );
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#endif
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return result;
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}
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@ -28,9 +28,9 @@ struct cons_pointer inverse( struct stack_frame *frame,
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struct cons_pointer arg );
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/**
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* return, as a long int, the greatest common divisor of `m` and `n`,
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* return, as a int64_t, the greatest common divisor of `m` and `n`,
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*/
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long int greatest_common_divisor( long int m, long int n ) {
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int64_t greatest_common_divisor( int64_t m, int64_t n ) {
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int o;
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while ( m ) {
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o = m;
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@ -42,9 +42,9 @@ long int greatest_common_divisor( long int m, long int n ) {
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}
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/**
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* return, as a long int, the least common multiple of `m` and `n`,
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* return, as a int64_t, the least common multiple of `m` and `n`,
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*/
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long int least_common_multiple( long int m, long int n ) {
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int64_t least_common_multiple( int64_t m, int64_t n ) {
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return m / greatest_common_divisor( m, n ) * n;
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}
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@ -59,7 +59,7 @@ struct cons_pointer simplify_ratio( struct stack_frame *frame,
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struct cons_pointer result = arg;
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if (ratiop(arg)) {
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long int ddrv =
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int64_t ddrv =
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pointer2cell( pointer2cell( arg ).payload.ratio.dividend ).
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payload.integer.value, drrv =
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pointer2cell( pointer2cell( arg ).payload.ratio.divisor ).
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@ -106,7 +106,7 @@ struct cons_pointer add_ratio_ratio( struct stack_frame *frame,
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if ( ratiop(arg1) && ratiop(arg2)) {
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struct cons_space_object cell1 = pointer2cell( arg1 );
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struct cons_space_object cell2 = pointer2cell( arg2 );
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long int dd1v =
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int64_t dd1v =
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pointer2cell( cell1.payload.ratio.dividend ).payload.integer.value,
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dd2v =
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pointer2cell( cell2.payload.ratio.dividend ).payload.integer.value,
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@ -231,7 +231,7 @@ struct cons_pointer multiply_ratio_ratio( struct
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if ( ratiop(arg1) && ratiop(arg2)) {
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struct cons_space_object cell1 = pointer2cell( arg1 );
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struct cons_space_object cell2 = pointer2cell( arg2 );
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long int dd1v =
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int64_t dd1v =
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pointer2cell( cell1.payload.ratio.dividend ).payload.integer.value,
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dd2v =
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pointer2cell( cell2.payload.ratio.dividend ).payload.integer.value,
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@ -127,8 +127,10 @@ void dump_pages( FILE * output ) {
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void free_cell( struct cons_pointer pointer ) {
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struct cons_space_object *cell = &pointer2cell( pointer );
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#ifdef DEBUG
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fwprintf( stderr, L"Freeing cell " );
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dump_object( stderr, pointer );
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#endif
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switch ( cell->tag.value ) {
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/* for all the types of cons-space object which point to other
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@ -173,7 +175,7 @@ void free_cell( struct cons_pointer pointer ) {
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if ( !check_tag( pointer, FREETAG ) ) {
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if ( cell->count == 0 ) {
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strncpy( &cell->tag.bytes[0], FREETAG, 4 );
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strncpy( &cell->tag.bytes[0], FREETAG, TAGLENGTH );
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cell->payload.free.car = NIL;
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cell->payload.free.cdr = freelist;
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freelist = pointer;
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@ -209,7 +211,7 @@ struct cons_pointer allocate_cell( char *tag ) {
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if ( strncmp( &cell->tag.bytes[0], FREETAG, TAGLENGTH ) == 0 ) {
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freelist = cell->payload.free.cdr;
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strncpy( &cell->tag.bytes[0], tag, 4 );
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strncpy( &cell->tag.bytes[0], tag, TAGLENGTH );
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cell->count = 0;
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cell->payload.cons.car = NIL;
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@ -28,6 +28,13 @@
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/**
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* tag values, all of which must be 4 bytes. Must not collide with vector space tag values
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*/
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/**
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* A word within a bignum - arbitrary precision integer.
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*/
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#define BIGNUMTAG "BIGN"
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#define BIGNUMTV 1313294658
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/**
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* An ordinary cons cell: 1397641027
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*/
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* An exception.
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*/
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#define EXCEPTIONTAG "EXEP"
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/* TODO: this is wrong */
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#define EXCEPTIONTV 1346721861
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/**
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@ -162,6 +168,11 @@
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*/
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#define nilp(conspoint) (check_tag(conspoint,NILTAG))
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/**
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* true if conspointer points to a cons cell, else false
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*/
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#define bignump(conspoint) (check_tag(conspoint,BIGNUMTAG))
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/**
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* true if conspointer points to a cons cell, else false
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*/
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* true if conspointer points to some sort of a number cell,
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* else false
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*/
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#define numberp(conspoint) (check_tag(conspoint,INTEGERTAG)||check_tag(conspoint,RATIOTAG)||heck_tag(conspoint,REALTAG))
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#define numberp(conspoint) (check_tag(conspoint,INTEGERTAG)||check_tag(conspoint,RATIOTAG)||check_tag(conspoint,REALTAG)||check_tag(conspoint,BIGNUMTAG))
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/**
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* true if thr conspointer points to a vector pointer.
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@ -274,6 +285,16 @@ struct stack_frame {
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struct cons_pointer function; /* the function to be called */
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};
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/**
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* payload of a bignum cell. Intentionally similar to an integer payload, but
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* with a next pointer.
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*/
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struct bignum_payload {
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int64_t value;
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struct cons_pointer next;
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};
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/**
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* payload of a cons cell.
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*/
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* optional bignum object.
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*/
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struct integer_payload {
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long int value;
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int64_t value;
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};
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/**
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@ -45,9 +45,9 @@ struct cons_pointer make_vec_pointer( char *tag, uint64_t address ) {
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* NOTE that `tag` should be the vector-space tag of the particular type of
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* vector-space object, NOT `VECTORPOINTTAG`.
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*/
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struct cons_pointer make_vso( char *tag, long int payload_size ) {
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struct cons_pointer make_vso( char *tag, int64_t payload_size ) {
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struct cons_pointer result = NIL;
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long int total_size = sizeof( struct vector_space_header ) + payload_size;
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int64_t total_size = sizeof( struct vector_space_header ) + payload_size;
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struct vector_space_header *vso = malloc( total_size );
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@ -34,6 +34,11 @@
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#define NAMESPACETAG "NMSP"
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#define NAMESPACETV 0
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/*
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* a stack frame.
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*/
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#define STACKFRAMETAG "STAK"
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#define STACKFRAMETV
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/*
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* a vector of cons pointers.
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*/
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#define pointer_to_vso(pointer)(vectorpointp(pointer)? pointer2cell(pointer).payload.vectorp.address : 0)
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struct cons_pointer make_vso( char *tag, long int payload_size );
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struct cons_pointer make_vso( char *tag, int64_t payload_size );
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struct vector_space_header {
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union {
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@ -125,8 +125,8 @@ struct cons_pointer read_continuation( struct stack_frame *frame, FILE * input,
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struct cons_pointer read_number( struct stack_frame *frame, FILE * input,
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wint_t initial, bool seen_period ) {
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struct cons_pointer result = NIL;
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long int accumulator = 0;
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long int dividend = 0;
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int64_t accumulator = 0;
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int64_t dividend = 0;
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int places_of_decimals = 0;
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wint_t c;
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fwprintf( stderr, L"read_number starting '%c' (%d)\n", initial, initial );
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@ -1,9 +1,26 @@
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#include <stdint.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#define TAGLENGTH 4
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struct dummy {
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union {
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char bytes[TAGLENGTH]; /* the tag (type) of this cell,
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* considered as bytes */
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uint32_t value; /* the tag considered as a number */
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} tag;
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};
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int main( int argc, char *argv[] ) {
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struct dummy *b = malloc( sizeof( struct dummy));
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struct dummy buffer = *b;
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for (int i = 1; i < argc; i++) {
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printf( "%4.4s:\t%u\n", argv[i], (uint32_t)*argv[i]);
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strncpy( &buffer.tag.bytes[0], argv[i], TAGLENGTH );
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printf( "%4.4s:\t%d\n", argv[i], buffer.tag.value);
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}
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}
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