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- {
- $Id$
- This file is part of the Free Pascal run time library.
- Copyright (c) 2000 by Jonas Maebe and other members of the
- Free Pascal development team
- Implementation of mathamatical Routines (only for real)
- See the file COPYING.FPC, included in this distribution,
- for details about the copyright.
- This program is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
- **********************************************************************}
- {****************************************************************************
- Int to real helpers
- ****************************************************************************}
- const
- longint_to_real_helper: int64 = $4330000080000000;
- cardinal_to_real_helper: int64 = $430000000000000;
- int_to_real_factor: double = double(high(cardinal))+1.0;
- {****************************************************************************
- EXTENDED data type routines
- ****************************************************************************}
- {$define FPC_SYSTEM_HAS_PI}
- function pi : double;[internproc:in_pi];
- {$define FPC_SYSTEM_HAS_ABS}
- function abs(d : extended) : extended;[internproc:in_abs_extended];
- {$define FPC_SYSTEM_HAS_SQR}
- function sqr(d : extended) : extended;[internproc:in_sqr_extended];
- {$define FPC_SYSTEM_HAS_SQRT}
- function sqrt(d : extended) : extended;[internproc:in_sqrt_extended];
- {
- function arctan(d : extended) : extended;[internconst:in_arctan_extended];
- begin
- runerror(207);
- end;
- function ln(d : extended) : extended;[internconst:in_ln_extended];
- begin
- runerror(207);
- end;
- function sin(d : extended) : extended;[internconst: in_sin_extended];
- begin
- runerror(207);
- end;
- function cos(d : extended) : extended;[internconst:in_cos_extended];
- begin
- runerror(207);
- end;
- function exp(d : extended) : extended;[internconst:in_const_exp];
- begin
- runerror(207);
- end;
- function frac(d : extended) : extended;[internconst:in_const_frac];
- begin
- runerror(207);
- end;
- }
- {$define FPC_SYSTEM_HAS_INT}
- {$warning FIX ME}
- function int(d : extended) : extended;[internconst:in_const_int];
- begin
- runerror(207);
- end;
- {$define FPC_SYSTEM_HAS_TRUNC}
- {$warning FIX ME}
- function trunc(d : extended) : int64;{assembler;}[internconst:in_const_trunc];
- { input: d in fr1 }
- { output: result in r3 }
- {assembler;}
- var
- temp: packed record
- case byte of
- 0: (l1,l2: longint);
- 1: (d: double);
- end;
- begin{asm}
- { fctiwz f1,f1
- stfd f1,temp
- lwz r3,temp
- lwz r4,4+temp}
- end{ ['R3','F1']};
- {$define FPC_SYSTEM_HAS_ROUND}
- {$ifdef hascompilerproc}
- function round(d : extended) : int64;[internconst:in_const_round, external name 'FPC_ROUND'];
- function fpc_round(d : extended) : int64;[public, alias:'FPC_ROUND'];{$ifdef hascompilerproc}compilerproc;{$endif hascompilerproc}
- {$else}
- function round(d : extended) : int64;[internconst:in_const_round];
- {$endif hascompilerproc}
- { input: d in fr1 }
- { output: result in r3 }
- {assembler;}
- var
- temp : packed record
- case byte of
- 0: (l1,l2: longint);
- 1: (d: double);
- end;
- begin{asm}
- { fctiw f1,f1
- stfd f1,temp
- lwz r3,temp
- lwz r4,4+temp}
- end{ ['R3','F1']};
- {$define FPC_SYSTEM_HAS_POWER}
- function power(bas,expo : extended) : extended;
- begin
- if bas=0 then
- begin
- if expo<>0 then
- power:=0.0
- else
- HandleError(207);
- end
- else if expo=0 then
- power:=1
- else
- { bas < 0 is not allowed }
- if bas<0 then
- handleerror(207)
- else
- power:=exp(ln(bas)*expo);
- end;
- {****************************************************************************
- Longint data type routines
- ****************************************************************************}
- {$define FPC_SYSTEM_HAS_POWER_INT64}
- function power(bas,expo : Int64) : Int64;
- begin
- if bas=0 then
- begin
- if expo<>0 then
- power:=0
- else
- HandleError(207);
- end
- else if expo=0 then
- power:=1
- else
- begin
- if bas<0 then
- begin
- if odd(expo) then
- power:=-round(exp(ln(-bas)*expo))
- else
- power:=round(exp(ln(-bas)*expo));
- end
- else
- power:=round(exp(ln(bas)*expo));
- end;
- end;
- {****************************************************************************
- Helper routines to support old TP styled reals
- ****************************************************************************}
- { warning: the following converts a little-endian TP-style real }
- { to a big-endian double. So don't byte-swap the TP real! }
- {$define FPC_SYSTEM_HAS_REAL2DOUBLE}
- function real2double(r : real48) : double;
- var
- res : array[0..7] of byte;
- exponent : word;
- begin
- { copy mantissa }
- res[6]:=0;
- res[5]:=r[1] shl 5;
- res[4]:=(r[1] shr 3) or (r[2] shl 5);
- res[3]:=(r[2] shr 3) or (r[3] shl 5);
- res[2]:=(r[3] shr 3) or (r[4] shl 5);
- res[1]:=(r[4] shr 3) or (r[5] and $7f) shl 5;
- res[0]:=(r[5] and $7f) shr 3;
- { copy exponent }
- { correct exponent: }
- exponent:=(word(r[0])+(1023-129));
- res[1]:=res[1] or ((exponent and $f) shl 4);
- res[0]:=exponent shr 4;
- { set sign }
- res[0]:=res[0] or (r[5] and $80);
- real2double:=double(res);
- end;
- {
- $Log$
- Revision 1.7 2003-09-14 15:02:24 peter
- * remove int64 to double helpers
- Revision 1.6 2003/09/02 17:41:49 peter
- * updated for int64 to double
- Revision 1.5 2003/09/01 20:46:32 peter
- * new dummies
- Revision 1.4 2003/04/23 21:28:21 peter
- * fpc_round added, needed for int64 currency
- Revision 1.3 2003/01/22 20:45:15 mazen
- * making math code in RTL compiling.
- *NB : This does NOT mean necessary that it will generate correct code!
- Revision 1.2 2003/01/20 22:21:36 mazen
- * many stuff related to RTL fixed
- Revision 1.1 2002/12/24 21:30:20 mazen
- - some writeln(s) removed in compiler
- + many files added to RTL
- * some errors fixed in RTL
- Revision 1.14 2002/11/28 11:04:16 olle
- * macos: refs to globals in begin{asm} adapted to macos
- Revision 1.13 2002/10/21 18:08:28 jonas
- * round has int64 instead of longint result
- Revision 1.12 2002/09/08 13:00:21 jonas
- * made pi an internproc instead of internconst
- Revision 1.11 2002/09/07 16:01:26 peter
- * old logs removed and tabs fixed
- Revision 1.10 2002/08/18 22:11:10 florian
- * fixed remaining assembler errors
- Revision 1.9 2002/08/18 21:37:48 florian
- * several errors in inline assembler fixed
- Revision 1.8 2002/08/10 17:14:36 jonas
- * various fixes, mostly changing the names of the modifies registers to
- upper case since that seems to be required by the compiler
- Revision 1.7 2002/07/31 16:58:12 jonas
- * fixed conversion from int64/qword to double errors
- Revision 1.6 2002/07/29 21:28:17 florian
- * several fixes to get further with linux/ppc system unit compilation
- Revision 1.5 2002/07/28 21:39:29 florian
- * made abs a compiler proc if it is generic
- Revision 1.4 2002/07/28 20:43:49 florian
- * several fixes for linux/powerpc
- * several fixes to MT
- }
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