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- /* Copyright (C) 1989, 1992 Aladdin Enterprises. All rights reserved.
-
- This file is part of Ghostscript.
-
- Ghostscript is distributed in the hope that it will be useful, but
- WITHOUT ANY WARRANTY. No author or distributor accepts responsibility
- to anyone for the consequences of using it or for whether it serves any
- particular purpose or works at all, unless he says so in writing. Refer
- to the Ghostscript General Public License for full details.
-
- Everyone is granted permission to copy, modify and redistribute
- Ghostscript, but only under the conditions described in the Ghostscript
- General Public License. A copy of this license is supposed to have been
- given to you along with Ghostscript so you can know your rights and
- responsibilities. It should be in a file named COPYING. Among other
- things, the copyright notice and this notice must be preserved on all
- copies. */
-
- /* zarith.c */
- /* Arithmetic operators for Ghostscript */
- #include "math_.h"
- #include "ghost.h"
- #include "errors.h"
- #include "oper.h"
- #include "store.h"
-
- /****** NOTE: none of the arithmetic operators ******/
- /****** currently check for floating exceptions ******/
-
- /* Imported operators */
- extern int zcvi(P1(os_ptr));
-
- /* Define max and min values for what will fit in value.intval. */
- #define min_intval min_long
- #define max_intval max_long
- #define max_half_intval ((1 << (size_of(long) / 2 - 1)) - 1)
-
- /* Macro for accessing next-to-top stack element */
- #define opm1 (op-1)
- /* Macros for generating non-integer cases for arithmetic operations. */
- /* 'frob' is one of the arithmetic operators, +, -, or *. */
- #define non_int_cases(frob,frob_equals)\
- switch ( r_type(op) ) {\
- default: return_error(e_typecheck);\
- case t_real: switch ( r_type(opm1) ) {\
- default: return_error(e_typecheck);\
- case t_real: op[-1].value.realval frob_equals op->value.realval; break;\
- case t_integer: make_real(opm1, op[-1].value.intval frob op->value.realval);\
- } break;\
- case t_integer: switch ( r_type(opm1) ) {\
- default: return_error(e_typecheck);\
- case t_real: op[-1].value.realval frob_equals op->value.intval; break;\
- case t_integer:
- #define end_cases()\
- } }
-
- /* <num1> <num2> add <sum> */
- /* We make this into a separate procedure because */
- /* the interpreter will almost always call it directly. */
- int
- zop_add(register os_ptr op)
- { non_int_cases(+, +=)
- { long int2 = op->value.intval;
- if ( ((op[-1].value.intval += int2) ^ int2) < 0 &&
- ((op[-1].value.intval - int2) ^ int2) >= 0
- )
- { /* Overflow, convert to real */
- make_real(opm1, (float)(op[-1].value.intval - int2) + int2);
- }
- }
- end_cases()
- return 0;
- }
- int
- zadd(os_ptr op)
- { int code = zop_add(op);
- if ( code == 0 ) { pop(1); }
- return code;
- }
-
- /* <num1> <num2> div <real_quotient> */
- int
- zdiv(register os_ptr op)
- { register os_ptr op1 = op - 1;
- /* We can't use the non_int_cases macro, */
- /* because we have to check explicitly for op == 0. */
- switch ( r_type(op) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- if ( op->value.realval == 0 )
- return_error(e_undefinedresult);
- switch ( r_type(op1) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- op1->value.realval /= op->value.realval;
- break;
- case t_integer:
- make_real(op1, op1->value.intval / op->value.realval);
- }
- break;
- case t_integer:
- if ( op->value.intval == 0 )
- return_error(e_undefinedresult);
- switch ( r_type(op1) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- op1->value.realval /= op->value.intval; break;
- case t_integer:
- make_real(op1, (float)op1->value.intval / op->value.intval);
- }
- }
- pop(1);
- return 0;
- }
-
- /* <num1> <num2> mul <product> */
- int
- zmul(register os_ptr op)
- { non_int_cases(*, *=)
- { long int1 = op[-1].value.intval;
- long int2 = op->value.intval;
- long abs1 = (int1 >= 0 ? int1 : - int1);
- long abs2 = (int2 >= 0 ? int2 : - int2);
- float fprod;
- if ( (abs1 > max_half_intval || abs2 > max_half_intval) &&
- /* At least one of the operands is very large. */
- /* Check for integer overflow. */
- abs1 != 0 &&
- abs2 > max_intval / abs1 &&
- /* Check for the boundary case */
- (fprod = (float)int1 * int2,
- (int1 * int2 != min_intval ||
- fprod != (float)min_intval))
- )
- make_real(opm1, fprod);
- else
- op[-1].value.intval = int1 * int2;
- }
- end_cases()
- pop(1);
- return 0;
- }
-
- /* <num1> <num2> sub <difference> */
- /* We make this into a separate procedure because */
- /* the interpreter will almost always call it directly. */
- int
- zop_sub(register os_ptr op)
- { non_int_cases(-, -=)
- { long int1 = op[-1].value.intval;
- if ( (int1 ^ (op[-1].value.intval = int1 - op->value.intval)) < 0 &&
- (int1 ^ op->value.intval) < 0
- )
- { /* Overflow, convert to real */
- make_real(opm1, (float)int1 - op->value.intval);
- }
- }
- end_cases()
- return 0;
- }
- int
- zsub(os_ptr op)
- { int code = zop_sub(op);
- if ( code == 0 ) { pop(1); }
- return code;
- }
-
- /* <num1> <num2> idiv <int_quotient> */
- int
- zidiv(register os_ptr op)
- { /* The Red Book says this only works on integers, */
- /* but implementations also accept reals. */
- /* However, it must be implemented correctly for integers! */
- register os_ptr op1 = op - 1;
- float quo;
- /* We can't use the non_int_cases macro, */
- /* because we have to check explicitly for op == 0. */
- switch ( r_type(op) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- if ( op->value.realval == 0 )
- return_error(e_undefinedresult);
- switch ( r_type(op1) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- quo = op1->value.realval / op->value.realval;
- break;
- case t_integer:
- quo = op1->value.intval / op->value.realval;
- break;
- }
- break;
- case t_integer:
- if ( op->value.intval == 0 )
- return_error(e_undefinedresult);
- switch ( r_type(op1) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- quo = op1->value.realval / op->value.intval;
- break;
- case t_integer:
- if ( (op1->value.intval /= op->value.intval) ==
- min_intval && op->value.intval == -1
- )
- { /* Anomalous boundary case, fail. */
- return_error(e_rangecheck);
- }
- pop(1);
- return 0;
- }
- break;
- }
- if ( !zcvi_possible(quo) )
- return_error(e_rangecheck);
- make_int(op1, (long)quo);
- pop(1);
- return 0;
- }
-
- /* <int1> <int2> mod <remainder> */
- int
- zmod(register os_ptr op)
- { check_type(op[-1], t_integer);
- check_type(*op, t_integer);
- if ( op->value.intval == 0 )
- return_error(e_undefinedresult);
- op[-1].value.intval %= op->value.intval;
- pop(1);
- return 0;
- }
-
- /* <num1> neg <num2> */
- int
- zneg(register os_ptr op)
- { switch ( r_type(op) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- op->value.realval = -op->value.realval;
- break;
- case t_integer:
- if ( op->value.intval == min_intval )
- make_real(op, -(float)min_intval);
- else
- op->value.intval = -op->value.intval;
- }
- return 0;
- }
-
- /* <num1> ceiling <num2> */
- int
- zceiling(register os_ptr op)
- { switch ( r_type(op) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- op->value.realval = ceil(op->value.realval);
- case t_integer: ;
- }
- return 0;
- }
-
- /* <num1> floor <num2> */
- int
- zfloor(register os_ptr op)
- { switch ( r_type(op) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- op->value.realval = floor(op->value.realval);
- case t_integer: ;
- }
- return 0;
- }
-
- /* <num1> round <num2> */
- int
- zround(register os_ptr op)
- { switch ( r_type(op) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- op->value.realval = floor(op->value.realval + 0.5);
- case t_integer: ;
- }
- return 0;
- }
-
- /* <num1> truncate <num2> */
- int
- ztruncate(register os_ptr op)
- { switch ( r_type(op) )
- {
- default:
- return_error(e_typecheck);
- case t_real:
- op->value.realval =
- (op->value.realval < 0.0 ?
- ceil(op->value.realval) :
- floor(op->value.realval));
- case t_integer: ;
- }
- return 0;
- }
-
- /* ------ Initialization table ------ */
-
- op_def zarith_op_defs[] = {
- {"2add", zadd},
- {"1ceiling", zceiling},
- {"2div", zdiv},
- {"2idiv", zidiv},
- {"1floor", zfloor},
- {"2mod", zmod},
- {"2mul", zmul},
- {"1neg", zneg},
- {"1round", zround},
- {"2sub", zsub},
- {"1truncate", ztruncate},
- op_def_end(0)
- };
-