fpc/rtl/x86_64/math.inc

{
    Implementation of mathematical routines for x86_64

    This file is part of the Free Pascal run time library.
    Copyright (c) 1999-2005 by the Free Pascal development team

    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.

 **********************************************************************}

label
  FPC_ABSMASK_DOUBLE,
  FPC_ABSMASK_SINGLE;

procedure dummyproc;assembler;
  asm
  .data
    .balign 16
    .globl FPC_ABSMASK_SINGLE
FPC_ABSMASK_SINGLE:
    .quad 0x7FFFFFFF7FFFFFFF
    .quad 0x7FFFFFFF7FFFFFFF
    .globl FPC_ABSMASK_DOUBLE
FPC_ABSMASK_DOUBLE:
    .quad 0x7FFFFFFFFFFFFFFF
    .quad 0x7FFFFFFFFFFFFFFF
  .text
  end;

{****************************************************************************
                            FPU Control word
 ****************************************************************************}

    procedure Set8087CW(cw:word);assembler;
      asm        
        movw cw,%ax
{$ifdef FPC_PIC}
        movq default8087cw@GOTPCREL(%rip),%rdx
        movw %ax,(%rdx)
        fnclex
        fldcw (%rdx)
{$else FPC_PIC}
        movw %ax,default8087cw{$ifdef FPC_HAS_RIP_RELATIVE}(%rip){$endif}
        fnclex
        fldcw default8087cw{$ifdef FPC_HAS_RIP_RELATIVE}(%rip){$endif}
{$endif FPC_PIC}
      end;


    function Get8087CW:word;assembler;
      asm
        pushq $0
        fnstcw (%rsp)
        popq %rax
      end;
    
    
    procedure SetSSECSR(w : dword);
      begin
        mxcsr:=w;
        asm
          ldmxcsr w
        end;
      end;
    
    
    function GetSSECSR : dword;
      var
        _w : dword;
      begin
        asm
          stmxcsr _w
        end;
        result:=_w;
      end;

{****************************************************************************
                       EXTENDED data type routines
 ****************************************************************************}

    {$ifndef FPC_SYSTEM_HAS_PI}
    {$define FPC_SYSTEM_HAS_PI}
    function fpc_pi_real : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_PI}
    {$ifndef FPC_SYSTEM_HAS_ABS}
    {$define FPC_SYSTEM_HAS_ABS}
    function fpc_abs_real(d : ValReal) : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_ABS}
    {$ifndef FPC_SYSTEM_HAS_SQR}
    {$define FPC_SYSTEM_HAS_SQR}
    function fpc_sqr_real(d : ValReal) : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_SQR}
    {$ifndef FPC_SYSTEM_HAS_SQRT}
    {$define FPC_SYSTEM_HAS_SQRT}
    function fpc_sqrt_real(d : ValReal) : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_SQRT}
    {$ifndef FPC_SYSTEM_HAS_ARCTAN}
    {$define FPC_SYSTEM_HAS_ARCTAN}
    function fpc_arctan_real(d : ValReal) : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_ARCTAN}
    {$ifndef FPC_SYSTEM_HAS_LN}
    {$define FPC_SYSTEM_HAS_LN}
    function fpc_ln_real(d : ValReal) : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_LN}
    {$ifndef FPC_SYSTEM_HAS_SIN}
    {$define FPC_SYSTEM_HAS_SIN}
    function fpc_sin_real(d : ValReal) : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_SIN}
    {$ifndef FPC_SYSTEM_HAS_COS}
    {$define FPC_SYSTEM_HAS_COS}
    function fpc_cos_real(d : ValReal) : ValReal;compilerproc;
    begin
      { Function is handled internal in the compiler }
      runerror(207);
      result:=0;
    end;
    {$endif FPC_SYSTEM_HAS_COS}

{$ifdef FPC_HAS_TYPE_EXTENDED}
    {$ifndef FPC_SYSTEM_HAS_EXP}
    {$define FPC_SYSTEM_HAS_EXP}
    function fpc_exp_real(d : ValReal) : ValReal;assembler;compilerproc;
       asm
            subq        $16,%rsp
            // comes from DJ GPP
            fldt        d
            fldl2e
            fmulp       %st,%st(1)
            fstcw       -2(%rbp)
            fstcw       -4(%rbp)
            andw        $0xf3ff,-4(%rbp)
            orw         $0x0400,-4(%rbp)
            fldcw       -4(%rbp)
            fld         %st(0)
            frndint
            fldcw       -2(%rbp)
            fxch        %st(1)
            fsub        %st(1),%st
            f2xm1
            fld1
            faddp       %st,%st(1)
            fscale
            fstp        %st(1)
      end;
    {$endif FPC_SYSTEM_HAS_EXP}


    {$ifndef FPC_SYSTEM_HAS_FRAC}
    {$define FPC_SYSTEM_HAS_FRAC}
    function fpc_frac_real(d : ValReal) : ValReal;assembler;compilerproc;
      asm
            subq $16,%rsp
            fnstcw -4(%rbp)
            fwait
            movw -4(%rbp),%cx
            orw $0x0c3f,%cx
            movw %cx,-8(%rbp)
            fldcw -8(%rbp)
            fwait
            fldt d
            frndint
            fldt d
            fsub %st(1),%st
            fstp %st(1)
            fnclex
            fldcw -4(%rbp)
      end;
    {$endif FPC_SYSTEM_HAS_FRAC}


    {$ifndef FPC_SYSTEM_HAS_INT}
    {$define FPC_SYSTEM_HAS_INT}
    function fpc_int_real(d : ValReal) : ValReal;assembler;compilerproc;
      asm
            subq $16,%rsp
            fnstcw -4(%rbp)
            fwait
            movw -4(%rbp),%cx
            orw $0x0c3f,%cx
            movw %cx,-8(%rbp)
            fldcw -8(%rbp)
            fwait
            fldt d
            frndint
            fwait
            fldcw -4(%rbp)
      end;
    {$endif FPC_SYSTEM_HAS_INT}


    {$ifndef FPC_SYSTEM_HAS_TRUNC}
    {$define FPC_SYSTEM_HAS_TRUNC}
    function fpc_trunc_real(d : ValReal) : int64;assembler;compilerproc;
      var
        oldcw,
        newcw : word;
        res   : int64;
      asm
        fnstcw oldcw
        fwait
        movw oldcw,%cx
        orw $0x0c3f,%cx
        movw %cx,newcw
        fldcw newcw
        fldt d
        fistpq res
        fwait
        movq res,%rax
        fldcw oldcw
      end;
    {$endif FPC_SYSTEM_HAS_TRUNC}


    {$ifndef FPC_SYSTEM_HAS_ROUND}
    {$define FPC_SYSTEM_HAS_ROUND}
    function fpc_round_real(d : ValReal) : int64;assembler;compilerproc;
      var
        res   : int64;
      asm
        fldt d
        fistpq res
        fwait
        movq res,%rax
      end;
    {$endif FPC_SYSTEM_HAS_ROUND}


    {$ifndef FPC_SYSTEM_HAS_POWER}
    {$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;
    {$endif FPC_SYSTEM_HAS_POWER}
{$endif FPC_HAS_TYPE_EXTENDED}