751 lines
27 KiB
C
751 lines
27 KiB
C
/*
|
|
* peano.c
|
|
*
|
|
* Basic peano arithmetic
|
|
*
|
|
* (c) 2017 Simon Brooke <simon@journeyman.cc>
|
|
* Licensed under GPL version 2.0, or, at your option, any later version.
|
|
*/
|
|
|
|
#include <ctype.h>
|
|
#include <math.h>
|
|
#include <stdbool.h>
|
|
#include <stdio.h>
|
|
#include <stdlib.h>
|
|
#include <string.h>
|
|
|
|
#include "memory/consspaceobject.h"
|
|
#include "memory/conspage.h"
|
|
#include "debug.h"
|
|
#include "ops/equal.h"
|
|
#include "arith/integer.h"
|
|
#include "ops/intern.h"
|
|
#include "ops/lispops.h"
|
|
#include "arith/peano.h"
|
|
#include "io/print.h"
|
|
#include "arith/ratio.h"
|
|
#include "io/read.h"
|
|
#include "arith/real.h"
|
|
#include "memory/stack.h"
|
|
|
|
long double to_long_double( struct cons_pointer arg );
|
|
int64_t to_long_int( struct cons_pointer arg );
|
|
struct cons_pointer add_2( struct stack_frame *frame,
|
|
struct cons_pointer frame_pointer,
|
|
struct cons_pointer arg1,
|
|
struct cons_pointer arg2 );
|
|
|
|
/**
|
|
* return true if this `arg` points to a number whose value is zero.
|
|
*/
|
|
bool zerop( struct cons_pointer arg ) {
|
|
bool result = false;
|
|
struct cons_space_object cell = pointer2cell( arg );
|
|
|
|
switch ( cell.tag.value ) {
|
|
case INTEGERTV:{
|
|
do {
|
|
debug_print( L"zerop: ", DEBUG_ARITH );
|
|
debug_dump_object( arg, DEBUG_ARITH );
|
|
result =
|
|
( pointer2cell( arg ).payload.integer.value == 0 );
|
|
arg = pointer2cell( arg ).payload.integer.more;
|
|
} while ( result && integerp( arg ) );
|
|
}
|
|
break;
|
|
case RATIOTV:
|
|
result = zerop( cell.payload.ratio.dividend );
|
|
break;
|
|
case REALTV:
|
|
result = ( cell.payload.real.value == 0 );
|
|
break;
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
/**
|
|
* does this `arg` point to a negative number?
|
|
*/
|
|
bool is_negative( struct cons_pointer arg ) {
|
|
bool result = false;
|
|
struct cons_space_object cell = pointer2cell( arg );
|
|
|
|
switch ( cell.tag.value ) {
|
|
case INTEGERTV:
|
|
result = cell.payload.integer.value < 0;
|
|
break;
|
|
case RATIOTV:
|
|
result = is_negative( cell.payload.ratio.dividend );
|
|
break;
|
|
case REALTV:
|
|
result = ( cell.payload.real.value < 0 );
|
|
break;
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
struct cons_pointer absolute( struct cons_pointer arg ) {
|
|
struct cons_pointer result = NIL;
|
|
struct cons_space_object cell = pointer2cell( arg );
|
|
|
|
if ( is_negative( arg ) ) {
|
|
switch ( cell.tag.value ) {
|
|
case INTEGERTV:
|
|
result =
|
|
make_integer( llabs( cell.payload.integer.value ),
|
|
cell.payload.integer.more );
|
|
break;
|
|
case RATIOTV:
|
|
result = make_ratio( absolute( cell.payload.ratio.dividend ),
|
|
cell.payload.ratio.divisor );
|
|
break;
|
|
case REALTV:
|
|
result = make_real( 0 - cell.payload.real.value );
|
|
break;
|
|
}
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
/**
|
|
* Return the closest possible `binary64` representation to the value of
|
|
* this `arg`, expected to be an integer, ratio or real, or `NAN` if `arg`
|
|
* is not any of these.
|
|
*
|
|
* @arg a pointer to an integer, ratio or real.
|
|
*
|
|
* \todo cannot throw an exception out of here, which is a problem
|
|
* if a ratio may legally have zero as a divisor, or something which is
|
|
* not a number is passed in.
|
|
*/
|
|
long double to_long_double( struct cons_pointer arg ) {
|
|
long double result = 0;
|
|
struct cons_space_object cell = pointer2cell( arg );
|
|
|
|
switch ( cell.tag.value ) {
|
|
case INTEGERTV:
|
|
// obviously, this doesn't work for bignums
|
|
result = ( long double ) cell.payload.integer.value;
|
|
// sadly, this doesn't work at all.
|
|
// result += 1.0;
|
|
// for (bool is_first = false; integerp(arg); is_first = true) {
|
|
// debug_printf(DEBUG_ARITH, L"to_long_double: accumulator = %lf, arg = ", result);
|
|
// debug_dump_object(arg, DEBUG_ARITH);
|
|
// if (!is_first) {
|
|
// result *= (long double)(MAX_INTEGER + 1);
|
|
// }
|
|
// result *= (long double)(cell.payload.integer.value);
|
|
// arg = cell.payload.integer.more;
|
|
// cell = pointer2cell( arg );
|
|
// }
|
|
break;
|
|
case RATIOTV:
|
|
result = to_long_double( cell.payload.ratio.dividend ) /
|
|
to_long_double( cell.payload.ratio.divisor );
|
|
break;
|
|
case REALTV:
|
|
result = cell.payload.real.value;
|
|
break;
|
|
default:
|
|
result = NAN;
|
|
break;
|
|
}
|
|
|
|
debug_print( L"to_long_double( ", DEBUG_ARITH );
|
|
debug_print_object( arg, DEBUG_ARITH );
|
|
debug_printf( DEBUG_ARITH, L") => %lf\n", result );
|
|
|
|
return result;
|
|
}
|
|
|
|
|
|
/**
|
|
* Return the closest possible `int64_t` representation to the value of
|
|
* this `arg`, expected to be an integer, ratio or real, or `NAN` if `arg`
|
|
* is not any of these.
|
|
*
|
|
* @arg a pointer to an integer, ratio or real.
|
|
*
|
|
* \todo cannot throw an exception out of here, which is a problem
|
|
* if a ratio may legally have zero as a divisor, or something which is
|
|
* not a number (or is a big number) is passed in.
|
|
*/
|
|
int64_t to_long_int( struct cons_pointer arg ) {
|
|
int64_t result = 0;
|
|
struct cons_space_object cell = pointer2cell( arg );
|
|
switch ( cell.tag.value ) {
|
|
case INTEGERTV:
|
|
/* \todo if (integerp(cell.payload.integer.more)) {
|
|
* throw an exception!
|
|
* } */
|
|
result = cell.payload.integer.value;
|
|
break;
|
|
case RATIOTV:
|
|
result = lroundl( to_long_double( arg ) );
|
|
break;
|
|
case REALTV:
|
|
result = lroundl( cell.payload.real.value );
|
|
break;
|
|
}
|
|
return result;
|
|
}
|
|
|
|
|
|
/**
|
|
* Function: calculate the absolute value of a number.
|
|
*
|
|
* (absolute arg)
|
|
*
|
|
* @param env the evaluation environment - ignored;
|
|
* @param frame the stack frame.
|
|
* @return the absolute value of the number represented by the first
|
|
* argument, or NIL if it was not a number.
|
|
*/
|
|
struct cons_pointer lisp_absolute( struct stack_frame
|
|
*frame, struct cons_pointer frame_pointer, struct
|
|
cons_pointer env ) {
|
|
return absolute( frame->arg[0] );
|
|
}
|
|
|
|
/**
|
|
* return a cons_pointer indicating a number which is the sum of
|
|
* the numbers indicated by `arg1` and `arg2`.
|
|
*/
|
|
struct cons_pointer add_2( struct stack_frame *frame,
|
|
struct cons_pointer frame_pointer,
|
|
struct cons_pointer arg1,
|
|
struct cons_pointer arg2 ) {
|
|
struct cons_pointer result;
|
|
struct cons_space_object cell1 = pointer2cell( arg1 );
|
|
struct cons_space_object cell2 = pointer2cell( arg2 );
|
|
|
|
debug_print( L"add_2( arg1 = ", DEBUG_ARITH );
|
|
debug_dump_object( arg1, DEBUG_ARITH );
|
|
debug_print( L"; arg2 = ", DEBUG_ARITH );
|
|
debug_dump_object( arg2, DEBUG_ARITH );
|
|
debug_print( L"\n", DEBUG_ARITH );
|
|
|
|
if ( zerop( arg1 ) ) {
|
|
result = arg2;
|
|
} else if ( zerop( arg2 ) ) {
|
|
result = arg1;
|
|
} else {
|
|
|
|
switch ( cell1.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg1;
|
|
break;
|
|
case INTEGERTV:
|
|
switch ( cell2.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg2;
|
|
break;
|
|
case INTEGERTV:
|
|
result = add_integers( arg1, arg2 );
|
|
break;
|
|
case RATIOTV:
|
|
result = add_integer_ratio( arg1, arg2 );
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( arg1 ) +
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot add: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
break;
|
|
case RATIOTV:
|
|
switch ( cell2.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg2;
|
|
break;
|
|
case INTEGERTV:
|
|
result = add_integer_ratio( arg2, arg1 );
|
|
break;
|
|
case RATIOTV:
|
|
result = add_ratio_ratio( arg1, arg2 );
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( arg1 ) +
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot add: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( arg1 ) +
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result = exceptionp( arg2 ) ? arg2 :
|
|
throw_exception( c_string_to_lisp_string
|
|
( L"Cannot add: not a number" ),
|
|
frame_pointer );
|
|
}
|
|
}
|
|
|
|
debug_print( L"}; => ", DEBUG_ARITH );
|
|
debug_print_object( arg2, DEBUG_ARITH );
|
|
debug_print( L"\n", DEBUG_ARITH );
|
|
|
|
return result;
|
|
}
|
|
|
|
/**
|
|
* Add an indefinite number of numbers together
|
|
* @param env the evaluation environment - ignored;
|
|
* @param frame the stack frame.
|
|
* @return a pointer to an integer, ratio or real.
|
|
* @exception if any argument is not a number, returns an exception.
|
|
*/
|
|
struct cons_pointer lisp_add( struct stack_frame
|
|
*frame, struct cons_pointer frame_pointer, struct
|
|
cons_pointer env ) {
|
|
struct cons_pointer result = make_integer( 0, NIL );
|
|
struct cons_pointer tmp;
|
|
|
|
for ( int i = 0;
|
|
i < args_in_frame &&
|
|
!nilp( frame->arg[i] ) && !exceptionp( result ); i++ ) {
|
|
tmp = result;
|
|
result = add_2( frame, frame_pointer, result, frame->arg[i] );
|
|
if ( !eq( tmp, result ) ) {
|
|
dec_ref( tmp );
|
|
}
|
|
}
|
|
|
|
struct cons_pointer more = frame->more;
|
|
while ( consp( more ) && !exceptionp( result ) ) {
|
|
tmp = result;
|
|
result = add_2( frame, frame_pointer, result, c_car( more ) );
|
|
if ( !eq( tmp, result ) ) {
|
|
dec_ref( tmp );
|
|
}
|
|
|
|
more = c_cdr( more );
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
|
|
/**
|
|
* return a cons_pointer indicating a number which is the product of
|
|
* the numbers indicated by `arg1` and `arg2`.
|
|
*/
|
|
struct cons_pointer multiply_2( struct stack_frame *frame,
|
|
struct cons_pointer frame_pointer,
|
|
struct cons_pointer arg1,
|
|
struct cons_pointer arg2 ) {
|
|
struct cons_pointer result;
|
|
struct cons_space_object cell1 = pointer2cell( arg1 );
|
|
struct cons_space_object cell2 = pointer2cell( arg2 );
|
|
|
|
debug_print( L"multiply_2( arg1 = ", DEBUG_ARITH );
|
|
debug_print_object( arg1, DEBUG_ARITH );
|
|
debug_print( L"; arg2 = ", DEBUG_ARITH );
|
|
debug_print_object( arg2, DEBUG_ARITH );
|
|
debug_print( L")\n", DEBUG_ARITH );
|
|
|
|
if ( zerop( arg1 ) ) {
|
|
result = arg2;
|
|
} else if ( zerop( arg2 ) ) {
|
|
result = arg1;
|
|
} else {
|
|
switch ( cell1.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg1;
|
|
break;
|
|
case INTEGERTV:
|
|
switch ( cell2.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg2;
|
|
break;
|
|
case INTEGERTV:
|
|
result = multiply_integers( arg1, arg2 );
|
|
break;
|
|
case RATIOTV:
|
|
result = multiply_integer_ratio( arg1, arg2 );
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( arg1 ) *
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result =
|
|
throw_exception( make_cons
|
|
( c_string_to_lisp_string
|
|
( L"Cannot multiply: argument 2 is not a number: " ),
|
|
c_type( arg2 ) ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
break;
|
|
case RATIOTV:
|
|
switch ( cell2.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg2;
|
|
break;
|
|
case INTEGERTV:
|
|
result = multiply_integer_ratio( arg2, arg1 );
|
|
break;
|
|
case RATIOTV:
|
|
result = multiply_ratio_ratio( arg1, arg2 );
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( arg1 ) *
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result =
|
|
throw_exception( make_cons
|
|
( c_string_to_lisp_string
|
|
( L"Cannot multiply: argument 2 is not a number" ),
|
|
c_type( arg2 ) ),
|
|
frame_pointer );
|
|
}
|
|
break;
|
|
case REALTV:
|
|
result = exceptionp( arg2 ) ? arg2 :
|
|
make_real( to_long_double( arg1 ) *
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( make_cons( c_string_to_lisp_string
|
|
( L"Cannot multiply: argument 1 is not a number" ),
|
|
c_type( arg1 ) ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
}
|
|
|
|
debug_print( L"multiply_2 returning: ", DEBUG_ARITH );
|
|
debug_print_object( result, DEBUG_ARITH );
|
|
debug_print( L"\n", DEBUG_ARITH );
|
|
|
|
return result;
|
|
}
|
|
|
|
#define multiply_one_arg(arg) {if (exceptionp(arg)){result=arg;}else{tmp = result; result = multiply_2( frame, frame_pointer, result, arg ); if ( !eq( tmp, result ) ) dec_ref( tmp );}}
|
|
|
|
/**
|
|
* Multiply an indefinite number of numbers together
|
|
* @param env the evaluation environment - ignored;
|
|
* @param frame the stack frame.
|
|
* @return a pointer to an integer, ratio or real.
|
|
* @exception if any argument is not a number, returns an exception.
|
|
*/
|
|
struct cons_pointer lisp_multiply( struct
|
|
stack_frame
|
|
*frame, struct cons_pointer frame_pointer, struct
|
|
cons_pointer env ) {
|
|
struct cons_pointer result = make_integer( 1, NIL );
|
|
struct cons_pointer tmp;
|
|
|
|
for ( int i = 0; i < args_in_frame && !nilp( frame->arg[i] )
|
|
&& !exceptionp( result ); i++ ) {
|
|
debug_print( L"lisp_multiply: accumulator = ", DEBUG_ARITH );
|
|
debug_print_object( result, DEBUG_ARITH );
|
|
debug_print( L"; arg = ", DEBUG_ARITH );
|
|
debug_print_object( frame->arg[i], DEBUG_ARITH );
|
|
debug_println( DEBUG_ARITH );
|
|
|
|
multiply_one_arg( frame->arg[i] );
|
|
}
|
|
|
|
struct cons_pointer more = frame->more;
|
|
while ( consp( more )
|
|
&& !exceptionp( result ) ) {
|
|
multiply_one_arg( c_car( more ) );
|
|
more = c_cdr( more );
|
|
}
|
|
|
|
debug_print( L"lisp_multiply returning: ", DEBUG_ARITH );
|
|
debug_print_object( result, DEBUG_ARITH );
|
|
debug_println( DEBUG_ARITH );
|
|
|
|
return result;
|
|
}
|
|
|
|
/**
|
|
* return a cons_pointer indicating a number which is the
|
|
* 0 - the number indicated by `arg`.
|
|
*/
|
|
struct cons_pointer negative( struct cons_pointer arg ) {
|
|
struct cons_pointer result = NIL;
|
|
struct cons_space_object cell = pointer2cell( arg );
|
|
|
|
switch ( cell.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg;
|
|
break;
|
|
case INTEGERTV:
|
|
result =
|
|
make_integer( 0 - cell.payload.integer.value,
|
|
cell.payload.integer.more );
|
|
break;
|
|
case NILTV:
|
|
result = TRUE;
|
|
break;
|
|
case RATIOTV:
|
|
result = make_ratio( negative( cell.payload.ratio.dividend ),
|
|
cell.payload.ratio.divisor );
|
|
break;
|
|
case REALTV:
|
|
result = make_real( 0 - to_long_double( arg ) );
|
|
break;
|
|
case TRUETV:
|
|
result = NIL;
|
|
break;
|
|
}
|
|
|
|
return result;
|
|
}
|
|
|
|
|
|
/**
|
|
* Function: is this number negative?
|
|
*
|
|
* * (negative? arg)
|
|
*
|
|
* @param env the evaluation environment - ignored;
|
|
* @param frame the stack frame.
|
|
* @return T if the first argument was a negative number, or NIL if it
|
|
* was not.
|
|
*/
|
|
struct cons_pointer lisp_is_negative( struct stack_frame
|
|
*frame,
|
|
struct cons_pointer frame_pointer, struct
|
|
cons_pointer env ) {
|
|
return is_negative( frame->arg[0] ) ? TRUE : NIL;
|
|
}
|
|
|
|
|
|
/**
|
|
* return a cons_pointer indicating a number which is the result of
|
|
* subtracting the number indicated by `arg2` from that indicated by `arg1`,
|
|
* in the context of this `frame`.
|
|
*/
|
|
struct cons_pointer subtract_2( struct stack_frame *frame,
|
|
struct cons_pointer frame_pointer,
|
|
struct cons_pointer arg1,
|
|
struct cons_pointer arg2 ) {
|
|
struct cons_pointer result = NIL;
|
|
|
|
switch ( pointer2cell( arg1 ).tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg1;
|
|
break;
|
|
case INTEGERTV:
|
|
switch ( pointer2cell( arg2 ).tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg2;
|
|
break;
|
|
case INTEGERTV:{
|
|
struct cons_pointer i = negative( arg2 );
|
|
inc_ref( i );
|
|
result = add_integers( arg1, i );
|
|
dec_ref( i );
|
|
}
|
|
break;
|
|
case RATIOTV:{
|
|
struct cons_pointer tmp = make_ratio( arg1,
|
|
make_integer( 1,
|
|
NIL ) );
|
|
inc_ref( tmp );
|
|
result = subtract_ratio_ratio( tmp, arg2 );
|
|
dec_ref( tmp );
|
|
}
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( arg1 ) -
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot subtract: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
break;
|
|
case RATIOTV:
|
|
switch ( pointer2cell( arg2 ).tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = arg2;
|
|
break;
|
|
case INTEGERTV:{
|
|
struct cons_pointer tmp = make_ratio( arg2,
|
|
make_integer( 1,
|
|
NIL ) );
|
|
inc_ref( tmp );
|
|
result = subtract_ratio_ratio( arg1, tmp );
|
|
dec_ref( tmp );
|
|
}
|
|
break;
|
|
case RATIOTV:
|
|
result = subtract_ratio_ratio( arg1, arg2 );
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( arg1 ) -
|
|
to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot subtract: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
break;
|
|
case REALTV:
|
|
result = exceptionp( arg2 ) ? arg2 :
|
|
make_real( to_long_double( arg1 ) - to_long_double( arg2 ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot subtract: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
|
|
// and if not nilp[frame->arg[2]) we also have an error.
|
|
|
|
return result;
|
|
}
|
|
|
|
/**
|
|
* Subtract one number from another. If more than two arguments are passed
|
|
* in the frame, the additional arguments are ignored.
|
|
* @param env the evaluation environment - ignored;
|
|
* @param frame the stack frame.
|
|
* @return a pointer to an integer, ratio or real.
|
|
* @exception if either argument is not a number, returns an exception.
|
|
*/
|
|
struct cons_pointer lisp_subtract( struct
|
|
stack_frame
|
|
*frame, struct cons_pointer frame_pointer, struct
|
|
cons_pointer env ) {
|
|
return subtract_2( frame, frame_pointer, frame->arg[0], frame->arg[1] );
|
|
}
|
|
|
|
/**
|
|
* Divide one number by another. If more than two arguments are passed
|
|
* in the frame, the additional arguments are ignored.
|
|
* @param env the evaluation environment - ignored;
|
|
* @param frame the stack frame.
|
|
* @return a pointer to an integer or real.
|
|
* @exception if either argument is not a number, returns an exception.
|
|
*/
|
|
struct cons_pointer lisp_divide( struct
|
|
stack_frame
|
|
*frame, struct cons_pointer frame_pointer, struct
|
|
cons_pointer env ) {
|
|
struct cons_pointer result = NIL;
|
|
struct cons_space_object arg0 = pointer2cell( frame->arg[0] );
|
|
struct cons_space_object arg1 = pointer2cell( frame->arg[1] );
|
|
|
|
switch ( arg0.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = frame->arg[0];
|
|
break;
|
|
case INTEGERTV:
|
|
switch ( arg1.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = frame->arg[1];
|
|
break;
|
|
case INTEGERTV:{
|
|
struct cons_pointer unsimplified =
|
|
make_ratio( frame->arg[0],
|
|
frame->arg[1] );
|
|
/* OK, if result may be unsimplified, we should not inc_ref it
|
|
* - but if not, we should dec_ref it. */
|
|
result = simplify_ratio( unsimplified );
|
|
if ( !eq( unsimplified, result ) ) {
|
|
dec_ref( unsimplified );
|
|
}
|
|
}
|
|
break;
|
|
case RATIOTV:{
|
|
struct cons_pointer one = make_integer( 1, NIL );
|
|
struct cons_pointer ratio =
|
|
make_ratio( frame->arg[0], one );
|
|
inc_ref( ratio );
|
|
result = divide_ratio_ratio( ratio, frame->arg[1] );
|
|
dec_ref( ratio );
|
|
}
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( frame->arg[0] ) /
|
|
to_long_double( frame->arg[1] ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot divide: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
break;
|
|
case RATIOTV:
|
|
switch ( arg1.tag.value ) {
|
|
case EXCEPTIONTV:
|
|
result = frame->arg[1];
|
|
break;
|
|
case INTEGERTV:{
|
|
struct cons_pointer one = make_integer( 1, NIL );
|
|
inc_ref( one );
|
|
struct cons_pointer ratio =
|
|
make_ratio( frame->arg[1], one );
|
|
inc_ref( ratio );
|
|
result = divide_ratio_ratio( frame->arg[0], ratio );
|
|
dec_ref( ratio );
|
|
dec_ref( one );
|
|
}
|
|
break;
|
|
case RATIOTV:
|
|
result =
|
|
divide_ratio_ratio( frame->arg[0], frame->arg[1] );
|
|
break;
|
|
case REALTV:
|
|
result =
|
|
make_real( to_long_double( frame->arg[0] ) /
|
|
to_long_double( frame->arg[1] ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot divide: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
break;
|
|
case REALTV:
|
|
result = exceptionp( frame->arg[1] ) ? frame->arg[1] :
|
|
make_real( to_long_double( frame->arg[0] ) /
|
|
to_long_double( frame->arg[1] ) );
|
|
break;
|
|
default:
|
|
result = throw_exception( c_string_to_lisp_string
|
|
( L"Cannot divide: not a number" ),
|
|
frame_pointer );
|
|
break;
|
|
}
|
|
|
|
return result;
|
|
}
|