mathu.inc 13 KB

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  1. {
  2. This file is part of the Free Pascal run time library.
  3. Copyright (c) 2004 by Florian Klaempfl
  4. member of 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. {$if defined(wince)}
  12. const
  13. _DN_SAVE = $00000000;
  14. _DN_FLUSH = $01000000;
  15. _EM_INVALID = $00000010;
  16. _EM_DENORMAL = $00080000;
  17. _EM_ZERODIVIDE = $00000008;
  18. _EM_OVERFLOW = $00000004;
  19. _EM_UNDERFLOW = $00000002;
  20. _EM_INEXACT = $00000001;
  21. _IC_AFFINE = $00040000;
  22. _IC_PROJECTIVE = $00000000;
  23. _RC_CHOP = $00000300;
  24. _RC_UP = $00000200;
  25. _RC_DOWN = $00000100;
  26. _RC_NEAR = $00000000;
  27. _PC_24 = $00020000;
  28. _PC_53 = $00010000;
  29. _PC_64 = $00000000;
  30. _MCW_DN = $03000000;
  31. _MCW_EM = $0008001F;
  32. _MCW_IC = $00040000;
  33. _MCW_RC = $00000300;
  34. _MCW_PC = $00030000;
  35. function _controlfp(new: DWORD; mask: DWORD): DWORD; cdecl; external 'coredll';
  36. function GetRoundMode: TFPURoundingMode;
  37. var
  38. c: dword;
  39. begin
  40. c:=_controlfp(0, 0);
  41. Result:=TFPURoundingMode((c shr 16) and 3);
  42. end;
  43. function SetRoundMode(const RoundMode: TFPURoundingMode): TFPURoundingMode;
  44. var
  45. c: dword;
  46. begin
  47. c:=Ord(RoundMode) shl 16;
  48. c:=_controlfp(c, _MCW_RC);
  49. Result:=TFPURoundingMode((c shr 16) and 3);
  50. end;
  51. function GetPrecisionMode: TFPUPrecisionMode;
  52. var
  53. c: dword;
  54. begin
  55. c:=_controlfp(0, 0);
  56. if c and _MCW_PC = _PC_64 then
  57. Result:=pmDouble
  58. else
  59. Result:=pmSingle;
  60. end;
  61. function SetPrecisionMode(const Precision: TFPUPrecisionMode): TFPUPrecisionMode;
  62. var
  63. c: dword;
  64. begin
  65. Result:=GetPrecisionMode;
  66. if Precision = pmSingle then
  67. c:=_PC_24
  68. else
  69. c:=_PC_64;
  70. _controlfp(c, _MCW_PC);
  71. end;
  72. function ConvertExceptionMask(em: dword): TFPUExceptionMask;
  73. begin
  74. Result:=[];
  75. if em and _EM_INVALID = 0 then
  76. Result:=Result + [exInvalidOp];
  77. if em and _EM_DENORMAL = 0 then
  78. Result:=Result + [exDenormalized];
  79. if em and _EM_ZERODIVIDE = 0 then
  80. Result:=Result + [exZeroDivide];
  81. if em and _EM_OVERFLOW = 0 then
  82. Result:=Result + [exOverflow];
  83. if em and _EM_UNDERFLOW = 0 then
  84. Result:=Result + [exUnderflow];
  85. if em and _EM_INEXACT = 0 then
  86. Result:=Result + [exPrecision];
  87. end;
  88. function GetExceptionMask: TFPUExceptionMask;
  89. begin
  90. Result:=ConvertExceptionMask(_controlfp(0, 0));
  91. end;
  92. function SetExceptionMask(const Mask: TFPUExceptionMask): TFPUExceptionMask;
  93. var
  94. c: dword;
  95. begin
  96. c:=0;
  97. if not(exInvalidOp in Mask) then
  98. c:=c or _EM_INVALID;
  99. if not(exDenormalized in Mask) then
  100. c:=c or _EM_DENORMAL;
  101. if not(exZeroDivide in Mask) then
  102. c:=c or _EM_ZERODIVIDE;
  103. if not(exOverflow in Mask) then
  104. c:=c or _EM_OVERFLOW;
  105. if not(exUnderflow in Mask) then
  106. c:=c or _EM_UNDERFLOW;
  107. if not(exPrecision in Mask) then
  108. c:=c or _EM_INEXACT;
  109. c:=_controlfp(c, _MCW_EM);
  110. Result:=ConvertExceptionMask(c);
  111. end;
  112. procedure ClearExceptions(RaisePending: Boolean =true);
  113. begin
  114. end;
  115. {$elseif defined(darwin) or defined(FPUVFPV2) or defined(FPUVFPV3) or defined(FPUVFPV4) or defined(FPUVFPV3_d16) or defined(FPUFPV4_s16)}
  116. const
  117. _VFP_ENABLE_IM = 1 shl 8; { invalid operation }
  118. _VFP_ENABLE_ZM = 1 shl 9; { divide by zero }
  119. _VFP_ENABLE_OM = 1 shl 10; { overflow }
  120. _VFP_ENABLE_UM = 1 shl 11; { underflow }
  121. _VFP_ENABLE_PM = 1 shl 12; { inexact }
  122. _VFP_ENABLE_DM = 1 shl 15; { denormalized operation }
  123. _VFP_ENABLE_ALL = _VFP_ENABLE_IM or
  124. _VFP_ENABLE_ZM or
  125. _VFP_ENABLE_OM or
  126. _VFP_ENABLE_UM or
  127. _VFP_ENABLE_PM or
  128. _VFP_ENABLE_DM; { mask for all flags }
  129. _VFP_ROUNDINGMODE_MASK_SHIFT = 22;
  130. _VFP_ROUNDINGMODE_MASK = 3 shl _VFP_ROUNDINGMODE_MASK_SHIFT;
  131. _VFP_EXCEPTIONS_PENDING_MASK =
  132. (1 shl 0) or
  133. (1 shl 1) or
  134. (1 shl 2) or
  135. (1 shl 3) or
  136. (1 shl 4) or
  137. (1 shl 7);
  138. function VFP_GetCW : dword; nostackframe; assembler;
  139. asm
  140. fmrx r0,fpscr
  141. end;
  142. procedure VFP_SetCW(cw : dword); nostackframe; assembler;
  143. asm
  144. fmxr fpscr,r0
  145. end;
  146. function VFPCw2RoundingMode(cw: dword): TFPURoundingMode;
  147. begin
  148. case (cw and _VFP_ROUNDINGMODE_MASK) shr _VFP_ROUNDINGMODE_MASK_SHIFT of
  149. 0 : result := rmNearest;
  150. 1 : result := rmUp;
  151. 2 : result := rmDown;
  152. 3 : result := rmTruncate;
  153. end;
  154. end;
  155. function GetRoundMode: TFPURoundingMode;
  156. begin
  157. result:=VFPCw2RoundingMode(VFP_GetCW);
  158. end;
  159. function SetRoundMode(const RoundMode: TFPURoundingMode): TFPURoundingMode;
  160. var
  161. mode: dword;
  162. oldcw: dword;
  163. begin
  164. softfloat_rounding_mode:=RoundMode;
  165. oldcw:=VFP_GetCW;
  166. case (RoundMode) of
  167. rmNearest : mode := 0;
  168. rmUp : mode := 1;
  169. rmDown : mode := 2;
  170. rmTruncate : mode := 3;
  171. end;
  172. mode:=mode shl _VFP_ROUNDINGMODE_MASK_SHIFT;
  173. VFP_SetCW((oldcw and (not _VFP_ROUNDINGMODE_MASK)) or mode);
  174. result := VFPCw2RoundingMode(oldcw);
  175. end;
  176. function GetPrecisionMode: TFPUPrecisionMode;
  177. begin
  178. result := pmDouble;
  179. end;
  180. function SetPrecisionMode(const Precision: TFPUPrecisionMode): TFPUPrecisionMode;
  181. begin
  182. { nothing to do, not supported }
  183. result := pmDouble;
  184. end;
  185. function VFPCw2ExceptionMask(cw: dword): TFPUExceptionMask;
  186. begin
  187. Result:=[];
  188. if (cw and _VFP_ENABLE_IM)=0 then
  189. include(Result,exInvalidOp);
  190. if (cw and _VFP_ENABLE_DM)=0 then
  191. include(Result,exDenormalized);
  192. if (cw and _VFP_ENABLE_ZM)=0 then
  193. include(Result,exZeroDivide);
  194. if (cw and _VFP_ENABLE_OM)=0 then
  195. include(Result,exOverflow);
  196. if (cw and _VFP_ENABLE_UM)=0 then
  197. include(Result,exUnderflow);
  198. if (cw and _VFP_ENABLE_PM)=0 then
  199. include(Result,exPrecision);
  200. end;
  201. function GetExceptionMask: TFPUExceptionMask;
  202. begin
  203. Result:=VFPCw2ExceptionMask(VFP_GetCW);
  204. end;
  205. function SetExceptionMask(const Mask: TFPUExceptionMask): TFPUExceptionMask;
  206. var
  207. cw : dword;
  208. begin
  209. cw:=VFP_GetCW;
  210. Result:=VFPCw2ExceptionMask(cw);
  211. cw:=cw and not(_VFP_ENABLE_ALL);
  212. {$ifndef darwin}
  213. if not(exInvalidOp in Mask) then
  214. cw:=cw or _VFP_ENABLE_IM;
  215. if not(exDenormalized in Mask) then
  216. cw:=cw or _VFP_ENABLE_DM;
  217. if not(exZeroDivide in Mask) then
  218. cw:=cw or _VFP_ENABLE_ZM;
  219. if not(exOverflow in Mask) then
  220. cw:=cw or _VFP_ENABLE_OM;
  221. if not(exUnderflow in Mask) then
  222. cw:=cw or _VFP_ENABLE_UM;
  223. if not(exPrecision in Mask) then
  224. cw:=cw or _VFP_ENABLE_PM;
  225. {$endif}
  226. VFP_SetCW(cw);
  227. softfloat_exception_mask:=Mask;
  228. end;
  229. procedure ClearExceptions(RaisePending: Boolean =true);
  230. begin
  231. { RaisePending has no effect on ARM, it always raises them at the correct location }
  232. VFP_SetCW(VFP_GetCW and (not _VFP_EXCEPTIONS_PENDING_MASK));
  233. end;
  234. {$else wince/darwin/vfpv2/vfpv3}
  235. {*****************************************************************************
  236. FPA code
  237. *****************************************************************************}
  238. {
  239. Docs from uclib
  240. * We have a slight terminology confusion here. On the ARM, the register
  241. * we're interested in is actually the FPU status word - the FPU control
  242. * word is something different (which is implementation-defined and only
  243. * accessible from supervisor mode.)
  244. *
  245. * The FPSR looks like this:
  246. *
  247. * 31-24 23-16 15-8 7-0
  248. * | system ID | trap enable | system control | exception flags |
  249. *
  250. * We ignore the system ID bits; for interest's sake they are:
  251. *
  252. * 0000 "old" FPE
  253. * 1000 FPPC hardware
  254. * 0001 FPE 400
  255. * 1001 FPA hardware
  256. *
  257. * The trap enable and exception flags are both structured like this:
  258. *
  259. * 7 - 5 4 3 2 1 0
  260. * | reserved | INX | UFL | OFL | DVZ | IVO |
  261. *
  262. * where a `1' bit in the enable byte means that the trap can occur, and
  263. * a `1' bit in the flags byte means the exception has occurred.
  264. *
  265. * The exceptions are:
  266. *
  267. * IVO - invalid operation
  268. * DVZ - divide by zero
  269. * OFL - overflow
  270. * UFL - underflow
  271. * INX - inexact (do not use; implementations differ)
  272. *
  273. * The system control byte looks like this:
  274. *
  275. * 7-5 4 3 2 1 0
  276. * | reserved | AC | EP | SO | NE | ND |
  277. *
  278. * where the bits mean
  279. *
  280. * ND - no denormalised numbers (force them all to zero)
  281. * NE - enable NaN exceptions
  282. * SO - synchronous operation
  283. * EP - use expanded packed-decimal format
  284. * AC - use alternate definition for C flag on compare operations
  285. */
  286. /* masking of interrupts */
  287. #define _FPU_MASK_IM 0x00010000 /* invalid operation */
  288. #define _FPU_MASK_ZM 0x00020000 /* divide by zero */
  289. #define _FPU_MASK_OM 0x00040000 /* overflow */
  290. #define _FPU_MASK_UM 0x00080000 /* underflow */
  291. #define _FPU_MASK_PM 0x00100000 /* inexact */
  292. #define _FPU_MASK_DM 0x00000000 /* denormalized operation */
  293. /* The system id bytes cannot be changed.
  294. Only the bottom 5 bits in the trap enable byte can be changed.
  295. Only the bottom 5 bits in the system control byte can be changed.
  296. Only the bottom 5 bits in the exception flags are used.
  297. The exception flags are set by the fpu, but can be zeroed by the user. */
  298. #define _FPU_RESERVED 0xffe0e0e0 /* These bits are reserved. */
  299. /* The fdlibm code requires strict IEEE double precision arithmetic,
  300. no interrupts for exceptions, rounding to nearest. Changing the
  301. rounding mode will break long double I/O. Turn on the AC bit,
  302. the compiler generates code that assumes it is on. */
  303. #define _FPU_DEFAULT 0x00001000 /* Default value. */
  304. #define _FPU_IEEE 0x001f1000 /* Default + exceptions enabled. */
  305. }
  306. {$if not(defined(gba)) and not(defined(nds)) and not(defined(FPUSOFT)) and not(defined(FPULIBGCC))}
  307. const
  308. _FPU_MASK_IM = $00010000; { invalid operation }
  309. _FPU_MASK_ZM = $00020000; { divide by zero }
  310. _FPU_MASK_OM = $00040000; { overflow }
  311. _FPU_MASK_UM = $00080000; { underflow }
  312. _FPU_MASK_PM = $00100000; { inexact }
  313. _FPU_MASK_DM = $00000000; { denormalized operation }
  314. _FPU_MASK_ALL = $001f0000; { mask for all flags }
  315. function FPU_GetCW : dword; nostackframe; assembler;
  316. asm
  317. rfs r0
  318. end;
  319. procedure FPU_SetCW(cw : dword); nostackframe; assembler;
  320. asm
  321. wfs r0
  322. end;
  323. function FPUCw2ExceptionMask(cw: dword): TFPUExceptionMask;
  324. begin
  325. Result:=[];
  326. if (cw and _FPU_MASK_IM)=0 then
  327. include(Result,exInvalidOp);
  328. if (cw and _FPU_MASK_DM)=0 then
  329. include(Result,exDenormalized);
  330. if (cw and _FPU_MASK_ZM)=0 then
  331. include(Result,exZeroDivide);
  332. if (cw and _FPU_MASK_OM)=0 then
  333. include(Result,exOverflow);
  334. if (cw and _FPU_MASK_UM)=0 then
  335. include(Result,exUnderflow);
  336. if (cw and _FPU_MASK_PM)=0 then
  337. include(Result,exPrecision);
  338. end;
  339. {$endif}
  340. function GetRoundMode: TFPURoundingMode;
  341. begin
  342. GetRoundMode:=softfloat_rounding_mode;
  343. end;
  344. function SetRoundMode(const RoundMode: TFPURoundingMode): TFPURoundingMode;
  345. begin
  346. result:=softfloat_rounding_mode;
  347. softfloat_rounding_mode:=RoundMode;
  348. end;
  349. function GetPrecisionMode: TFPUPrecisionMode;
  350. begin
  351. result := pmDouble;
  352. end;
  353. function SetPrecisionMode(const Precision: TFPUPrecisionMode): TFPUPrecisionMode;
  354. begin
  355. { does not apply }
  356. result := pmDouble;
  357. end;
  358. function GetExceptionMask: TFPUExceptionMask;
  359. begin
  360. {$if not(defined(gba)) and not(defined(nds)) and not(defined(FPUSOFT)) and not(defined(FPULIBGCC))}
  361. Result:=FPUCw2ExceptionMask(FPU_GetCW);
  362. {$else}
  363. Result:=softfloat_exception_mask;
  364. {$endif}
  365. end;
  366. function SetExceptionMask(const Mask: TFPUExceptionMask): TFPUExceptionMask;
  367. {$if not(defined(gba)) and not(defined(nds)) and not(defined(FPUSOFT)) and not(defined(FPULIBGCC))}
  368. var
  369. cw : dword;
  370. {$endif}
  371. begin
  372. {$if not(defined(gba)) and not(defined(nds)) and not(defined(FPUSOFT)) and not(defined(FPULIBGCC))}
  373. cw:=FPU_GetCW;
  374. Result:=FPUCw2ExceptionMask(cw);
  375. cw:=cw or _FPU_MASK_ALL;
  376. if exInvalidOp in Mask then
  377. cw:=cw and not(_FPU_MASK_IM);
  378. if exDenormalized in Mask then
  379. cw:=cw and not(_FPU_MASK_DM);
  380. if exZeroDivide in Mask then
  381. cw:=cw and not(_FPU_MASK_ZM);
  382. if exOverflow in Mask then
  383. cw:=cw and not(_FPU_MASK_OM);
  384. if exUnderflow in Mask then
  385. cw:=cw and not(_FPU_MASK_UM);
  386. if exPrecision in Mask then
  387. cw:=cw and not(_FPU_MASK_PM);
  388. FPU_SetCW(cw);
  389. {$else}
  390. Result:=softfloat_exception_mask;
  391. {$endif}
  392. softfloat_exception_mask:=Mask;
  393. end;
  394. procedure ClearExceptions(RaisePending: Boolean =true);
  395. begin
  396. softfloat_exception_flags:=[];
  397. end;
  398. {$endif wince}