math.inc 8.2 KB

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  1. {
  2. $Id$
  3. This file is part of the Free Pascal run time library.
  4. Copyright (c) 2000 by Jonas Maebe and other members of the
  5. Free Pascal development team
  6. Implementation of mathamatical Routines (only for real)
  7. See the file COPYING.FPC, included in this distribution,
  8. for details about the copyright.
  9. This program is distributed in the hope that it will be useful,
  10. but WITHOUT ANY WARRANTY; without even the implied warranty of
  11. MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
  12. **********************************************************************}
  13. {****************************************************************************
  14. Int to real helpers
  15. ****************************************************************************}
  16. const
  17. longint_to_real_helper: int64 = $4330000080000000;
  18. cardinal_to_real_helper: int64 = $430000000000000;
  19. int_to_real_factor: double = double(high(cardinal))+1.0;
  20. {****************************************************************************
  21. EXTENDED data type routines
  22. ****************************************************************************}
  23. {$define FPC_SYSTEM_HAS_PI}
  24. function pi : double;[internproc:in_pi];
  25. {$define FPC_SYSTEM_HAS_ABS}
  26. function abs(d : extended) : extended;[internproc:in_abs_extended];
  27. {$define FPC_SYSTEM_HAS_SQR}
  28. function sqr(d : extended) : extended;[internproc:in_sqr_extended];
  29. {$define FPC_SYSTEM_HAS_SQRT}
  30. function sqrt(d : extended) : extended;[internproc:in_sqrt_extended];
  31. {
  32. function arctan(d : extended) : extended;[internconst:in_arctan_extended];
  33. begin
  34. runerror(207);
  35. end;
  36. function ln(d : extended) : extended;[internconst:in_ln_extended];
  37. begin
  38. runerror(207);
  39. end;
  40. function sin(d : extended) : extended;[internconst: in_sin_extended];
  41. begin
  42. runerror(207);
  43. end;
  44. function cos(d : extended) : extended;[internconst:in_cos_extended];
  45. begin
  46. runerror(207);
  47. end;
  48. function exp(d : extended) : extended;[internconst:in_const_exp];
  49. begin
  50. runerror(207);
  51. end;
  52. function frac(d : extended) : extended;[internconst:in_const_frac];
  53. begin
  54. runerror(207);
  55. end;
  56. }
  57. {$define FPC_SYSTEM_HAS_INT}
  58. {$warning FIX ME}
  59. function int(d : extended) : extended;[internconst:in_const_int];
  60. begin
  61. runerror(207);
  62. end;
  63. {$define FPC_SYSTEM_HAS_TRUNC}
  64. {$warning FIX ME}
  65. function trunc(d : extended) : int64;{assembler;}[internconst:in_const_trunc];
  66. { input: d in fr1 }
  67. { output: result in r3 }
  68. {assembler;}
  69. var
  70. temp: packed record
  71. case byte of
  72. 0: (l1,l2: longint);
  73. 1: (d: double);
  74. end;
  75. begin{asm}
  76. { fctiwz f1,f1
  77. stfd f1,temp
  78. lwz r3,temp
  79. lwz r4,4+temp}
  80. end{ ['R3','F1']};
  81. {$define FPC_SYSTEM_HAS_ROUND}
  82. {$ifdef hascompilerproc}
  83. function round(d : extended) : int64;[internconst:in_const_round, external name 'FPC_ROUND'];
  84. function fpc_round(d : extended) : int64;[public, alias:'FPC_ROUND'];{$ifdef hascompilerproc}compilerproc;{$endif hascompilerproc}
  85. {$else}
  86. function round(d : extended) : int64;[internconst:in_const_round];
  87. {$endif hascompilerproc}
  88. { input: d in fr1 }
  89. { output: result in r3 }
  90. {assembler;}
  91. var
  92. temp : packed record
  93. case byte of
  94. 0: (l1,l2: longint);
  95. 1: (d: double);
  96. end;
  97. begin{asm}
  98. { fctiw f1,f1
  99. stfd f1,temp
  100. lwz r3,temp
  101. lwz r4,4+temp}
  102. end{ ['R3','F1']};
  103. {$define FPC_SYSTEM_HAS_POWER}
  104. function power(bas,expo : extended) : extended;
  105. begin
  106. if bas=0 then
  107. begin
  108. if expo<>0 then
  109. power:=0.0
  110. else
  111. HandleError(207);
  112. end
  113. else if expo=0 then
  114. power:=1
  115. else
  116. { bas < 0 is not allowed }
  117. if bas<0 then
  118. handleerror(207)
  119. else
  120. power:=exp(ln(bas)*expo);
  121. end;
  122. {****************************************************************************
  123. Longint data type routines
  124. ****************************************************************************}
  125. {$define FPC_SYSTEM_HAS_POWER_INT64}
  126. function power(bas,expo : Int64) : Int64;
  127. begin
  128. if bas=0 then
  129. begin
  130. if expo<>0 then
  131. power:=0
  132. else
  133. HandleError(207);
  134. end
  135. else if expo=0 then
  136. power:=1
  137. else
  138. begin
  139. if bas<0 then
  140. begin
  141. if odd(expo) then
  142. power:=-round(exp(ln(-bas)*expo))
  143. else
  144. power:=round(exp(ln(-bas)*expo));
  145. end
  146. else
  147. power:=round(exp(ln(bas)*expo));
  148. end;
  149. end;
  150. {****************************************************************************
  151. Helper routines to support old TP styled reals
  152. ****************************************************************************}
  153. { warning: the following converts a little-endian TP-style real }
  154. { to a big-endian double. So don't byte-swap the TP real! }
  155. {$define FPC_SYSTEM_HAS_REAL2DOUBLE}
  156. function real2double(r : real48) : double;
  157. var
  158. res : array[0..7] of byte;
  159. exponent : word;
  160. begin
  161. { copy mantissa }
  162. res[6]:=0;
  163. res[5]:=r[1] shl 5;
  164. res[4]:=(r[1] shr 3) or (r[2] shl 5);
  165. res[3]:=(r[2] shr 3) or (r[3] shl 5);
  166. res[2]:=(r[3] shr 3) or (r[4] shl 5);
  167. res[1]:=(r[4] shr 3) or (r[5] and $7f) shl 5;
  168. res[0]:=(r[5] and $7f) shr 3;
  169. { copy exponent }
  170. { correct exponent: }
  171. exponent:=(word(r[0])+(1023-129));
  172. res[1]:=res[1] or ((exponent and $f) shl 4);
  173. res[0]:=exponent shr 4;
  174. { set sign }
  175. res[0]:=res[0] or (r[5] and $80);
  176. real2double:=double(res);
  177. end;
  178. {****************************************************************************
  179. Int to real helpers
  180. ****************************************************************************}
  181. function fpc_int64_to_double(i: int64): double; compilerproc;
  182. begin
  183. {$warning FIXME}
  184. runerror(207);
  185. end;
  186. function fpc_qword_to_double(q: qword): double; compilerproc;
  187. begin
  188. {$warning FIXME}
  189. runerror(207);
  190. end;
  191. {
  192. $Log$
  193. Revision 1.6 2003-09-02 17:41:49 peter
  194. * updated for int64 to double
  195. Revision 1.5 2003/09/01 20:46:32 peter
  196. * new dummies
  197. Revision 1.4 2003/04/23 21:28:21 peter
  198. * fpc_round added, needed for int64 currency
  199. Revision 1.3 2003/01/22 20:45:15 mazen
  200. * making math code in RTL compiling.
  201. *NB : This does NOT mean necessary that it will generate correct code!
  202. Revision 1.2 2003/01/20 22:21:36 mazen
  203. * many stuff related to RTL fixed
  204. Revision 1.1 2002/12/24 21:30:20 mazen
  205. - some writeln(s) removed in compiler
  206. + many files added to RTL
  207. * some errors fixed in RTL
  208. Revision 1.14 2002/11/28 11:04:16 olle
  209. * macos: refs to globals in begin{asm} adapted to macos
  210. Revision 1.13 2002/10/21 18:08:28 jonas
  211. * round has int64 instead of longint result
  212. Revision 1.12 2002/09/08 13:00:21 jonas
  213. * made pi an internproc instead of internconst
  214. Revision 1.11 2002/09/07 16:01:26 peter
  215. * old logs removed and tabs fixed
  216. Revision 1.10 2002/08/18 22:11:10 florian
  217. * fixed remaining assembler errors
  218. Revision 1.9 2002/08/18 21:37:48 florian
  219. * several errors in inline assembler fixed
  220. Revision 1.8 2002/08/10 17:14:36 jonas
  221. * various fixes, mostly changing the names of the modifies registers to
  222. upper case since that seems to be required by the compiler
  223. Revision 1.7 2002/07/31 16:58:12 jonas
  224. * fixed conversion from int64/qword to double errors
  225. Revision 1.6 2002/07/29 21:28:17 florian
  226. * several fixes to get further with linux/ppc system unit compilation
  227. Revision 1.5 2002/07/28 21:39:29 florian
  228. * made abs a compiler proc if it is generic
  229. Revision 1.4 2002/07/28 20:43:49 florian
  230. * several fixes for linux/powerpc
  231. * several fixes to MT
  232. }