math.inc 7.3 KB

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  1. {
  2. Implementation of mathematical routines for x86_64
  3. This file is part of the Free Pascal run time library.
  4. Copyright (c) 1999-2005 by the Free Pascal development team
  5. See the file COPYING.FPC, included in this distribution,
  6. for details about the copyright.
  7. This program is distributed in the hope that it will be useful,
  8. but WITHOUT ANY WARRANTY; without even the implied warranty of
  9. MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
  10. **********************************************************************}
  11. label
  12. FPC_ABSMASK_DOUBLE,
  13. FPC_ABSMASK_SINGLE;
  14. procedure dummyproc;assembler;
  15. asm
  16. .data
  17. .balign 16
  18. .globl FPC_ABSMASK_SINGLE
  19. FPC_ABSMASK_SINGLE:
  20. .quad 0x7FFFFFFF7FFFFFFF
  21. .quad 0x7FFFFFFF7FFFFFFF
  22. .globl FPC_ABSMASK_DOUBLE
  23. FPC_ABSMASK_DOUBLE:
  24. .quad 0x7FFFFFFFFFFFFFFF
  25. .quad 0x7FFFFFFFFFFFFFFF
  26. .text
  27. end;
  28. {****************************************************************************
  29. FPU Control word
  30. ****************************************************************************}
  31. procedure Set8087CW(cw:word);assembler;
  32. asm
  33. movw cw,%ax
  34. {$ifdef FPC_PIC}
  35. movq default8087cw@GOTPCREL(%rip),%rdx
  36. movw %ax,(%rdx)
  37. fnclex
  38. fldcw (%rdx)
  39. {$else FPC_PIC}
  40. movw %ax,default8087cw
  41. fnclex
  42. fldcw default8087cw
  43. {$endif FPC_PIC}
  44. end;
  45. function Get8087CW:word;assembler;
  46. asm
  47. pushq $0
  48. fnstcw (%rsp)
  49. popq %rax
  50. end;
  51. procedure SetSSECSR(w : dword);
  52. var
  53. _w : dword;
  54. begin
  55. _w:=w;
  56. asm
  57. ldmxcsr _w
  58. end;
  59. end;
  60. function GetSSECSR : dword;
  61. var
  62. _w : dword;
  63. begin
  64. asm
  65. stmxcsr _w
  66. end;
  67. result:=_w;
  68. end;
  69. {****************************************************************************
  70. EXTENDED data type routines
  71. ****************************************************************************}
  72. {$ifndef FPC_SYSTEM_HAS_PI}
  73. {$define FPC_SYSTEM_HAS_PI}
  74. function fpc_pi_real : ValReal;compilerproc;
  75. begin
  76. { Function is handled internal in the compiler }
  77. runerror(207);
  78. result:=0;
  79. end;
  80. {$endif FPC_SYSTEM_HAS_PI}
  81. {$ifndef FPC_SYSTEM_HAS_ABS}
  82. {$define FPC_SYSTEM_HAS_ABS}
  83. function fpc_abs_real(d : ValReal) : ValReal;compilerproc;
  84. begin
  85. { Function is handled internal in the compiler }
  86. runerror(207);
  87. result:=0;
  88. end;
  89. {$endif FPC_SYSTEM_HAS_ABS}
  90. {$ifndef FPC_SYSTEM_HAS_SQR}
  91. {$define FPC_SYSTEM_HAS_SQR}
  92. function fpc_sqr_real(d : ValReal) : ValReal;compilerproc;
  93. begin
  94. { Function is handled internal in the compiler }
  95. runerror(207);
  96. result:=0;
  97. end;
  98. {$endif FPC_SYSTEM_HAS_SQR}
  99. {$ifndef FPC_SYSTEM_HAS_SQRT}
  100. {$define FPC_SYSTEM_HAS_SQRT}
  101. function fpc_sqrt_real(d : ValReal) : ValReal;compilerproc;
  102. begin
  103. { Function is handled internal in the compiler }
  104. runerror(207);
  105. result:=0;
  106. end;
  107. {$endif FPC_SYSTEM_HAS_SQRT}
  108. {$ifndef FPC_SYSTEM_HAS_ARCTAN}
  109. {$define FPC_SYSTEM_HAS_ARCTAN}
  110. function fpc_arctan_real(d : ValReal) : ValReal;compilerproc;
  111. begin
  112. { Function is handled internal in the compiler }
  113. runerror(207);
  114. result:=0;
  115. end;
  116. {$endif FPC_SYSTEM_HAS_ARCTAN}
  117. {$ifndef FPC_SYSTEM_HAS_LN}
  118. {$define FPC_SYSTEM_HAS_LN}
  119. function fpc_ln_real(d : ValReal) : ValReal;compilerproc;
  120. begin
  121. { Function is handled internal in the compiler }
  122. runerror(207);
  123. result:=0;
  124. end;
  125. {$endif FPC_SYSTEM_HAS_LN}
  126. {$ifndef FPC_SYSTEM_HAS_SIN}
  127. {$define FPC_SYSTEM_HAS_SIN}
  128. function fpc_sin_real(d : ValReal) : ValReal;compilerproc;
  129. begin
  130. { Function is handled internal in the compiler }
  131. runerror(207);
  132. result:=0;
  133. end;
  134. {$endif FPC_SYSTEM_HAS_SIN}
  135. {$ifndef FPC_SYSTEM_HAS_COS}
  136. {$define FPC_SYSTEM_HAS_COS}
  137. function fpc_cos_real(d : ValReal) : ValReal;compilerproc;
  138. begin
  139. { Function is handled internal in the compiler }
  140. runerror(207);
  141. result:=0;
  142. end;
  143. {$endif FPC_SYSTEM_HAS_COS}
  144. {$ifndef WIN64}
  145. {$ifndef FPC_SYSTEM_HAS_EXP}
  146. {$define FPC_SYSTEM_HAS_EXP}
  147. function fpc_exp_real(d : ValReal) : ValReal;assembler;compilerproc;
  148. asm
  149. subq $16,%rsp
  150. // comes from DJ GPP
  151. fldt d
  152. fldl2e
  153. fmulp %st,%st(1)
  154. fstcw -2(%rbp)
  155. fstcw -4(%rbp)
  156. andw $0xf3ff,-4(%rbp)
  157. orw $0x0400,-4(%rbp)
  158. fldcw -4(%rbp)
  159. fld %st(0)
  160. frndint
  161. fldcw -2(%rbp)
  162. fxch %st(1)
  163. fsub %st(1),%st
  164. f2xm1
  165. fld1
  166. faddp %st,%st(1)
  167. fscale
  168. fstp %st(1)
  169. end;
  170. {$endif FPC_SYSTEM_HAS_EXP}
  171. {$ifndef FPC_SYSTEM_HAS_FRAC}
  172. {$define FPC_SYSTEM_HAS_FRAC}
  173. function fpc_frac_real(d : ValReal) : ValReal;assembler;compilerproc;
  174. asm
  175. subq $16,%rsp
  176. fnstcw -4(%rbp)
  177. fwait
  178. movw -4(%rbp),%cx
  179. orw $0x0c3f,%cx
  180. movw %cx,-8(%rbp)
  181. fldcw -8(%rbp)
  182. fwait
  183. fldt d
  184. frndint
  185. fldt d
  186. fsub %st(1),%st
  187. fstp %st(1)
  188. fnclex
  189. fldcw -4(%rbp)
  190. end;
  191. {$endif FPC_SYSTEM_HAS_FRAC}
  192. {$ifndef FPC_SYSTEM_HAS_INT}
  193. {$define FPC_SYSTEM_HAS_INT}
  194. function fpc_int_real(d : ValReal) : ValReal;assembler;compilerproc;
  195. asm
  196. subq $16,%rsp
  197. fnstcw -4(%rbp)
  198. fwait
  199. movw -4(%rbp),%cx
  200. orw $0x0c3f,%cx
  201. movw %cx,-8(%rbp)
  202. fldcw -8(%rbp)
  203. fwait
  204. fldt d
  205. frndint
  206. fwait
  207. fldcw -4(%rbp)
  208. end;
  209. {$endif FPC_SYSTEM_HAS_INT}
  210. {$ifndef FPC_SYSTEM_HAS_TRUNC}
  211. {$define FPC_SYSTEM_HAS_TRUNC}
  212. function fpc_trunc_real(d : ValReal) : int64;assembler;compilerproc;
  213. var
  214. oldcw,
  215. newcw : word;
  216. res : int64;
  217. asm
  218. fnstcw oldcw
  219. fwait
  220. movw oldcw,%cx
  221. orw $0x0c3f,%cx
  222. movw %cx,newcw
  223. fldcw newcw
  224. fldt d
  225. fistpq res
  226. fwait
  227. movq res,%rax
  228. fldcw oldcw
  229. end;
  230. {$endif FPC_SYSTEM_HAS_TRUNC}
  231. {$ifndef FPC_SYSTEM_HAS_ROUND}
  232. {$define FPC_SYSTEM_HAS_ROUND}
  233. function fpc_round_real(d : ValReal) : int64;assembler;compilerproc;
  234. var
  235. res : int64;
  236. asm
  237. fldt d
  238. fistpq res
  239. fwait
  240. movq res,%rax
  241. end;
  242. {$endif FPC_SYSTEM_HAS_ROUND}
  243. {$ifndef FPC_SYSTEM_HAS_POWER}
  244. {$define FPC_SYSTEM_HAS_POWER}
  245. function power(bas,expo : extended) : extended;
  246. begin
  247. if bas=0 then
  248. begin
  249. if expo<>0 then
  250. power:=0.0
  251. else
  252. HandleError(207);
  253. end
  254. else if expo=0 then
  255. power:=1
  256. else
  257. { bas < 0 is not allowed }
  258. if bas<0 then
  259. handleerror(207)
  260. else
  261. power:=exp(ln(bas)*expo);
  262. end;
  263. {$endif FPC_SYSTEM_HAS_POWER}
  264. {$endif WIN64}