ÿØÿà JFIF    ÿÛ „  ( %"1!%)+...383,7(-.+  -+++--++++---+-+-----+---------------+---+-++7-----ÿÀ  ß â" ÿÄ     ÿÄ H    !1AQaq"‘¡2B±ÁÑð#R“Ò Tbr‚²á3csƒ’ÂñDS¢³$CÿÄ   ÿÄ %  !1AQa"23‘ÿÚ   ? ôÿ ¨pŸªáÿ —åYõõ\?àÒü©ŠÄï¨pŸªáÿ —åYõõ\?àÓü©ŠÄá 0Ÿªáÿ Ÿå[úƒ ú®ði~TÁbqÐ8OÕpÿ ƒOò¤Oè`–RÂáœá™êi€ßÉ< FtŸI“öÌ8úDf´°å}“¾œ6  öFá°y¥jñÇh†ˆ¢ã/ÃÐ:ªcÈ "Y¡ðÑl>ÿ ”ÏËte:qž\oäŠe÷󲍷˜HT4&ÿ ÓÐü6ö®¿øþßèô Ÿ•7Ñi’•j|“ñì>b…þS?*Óôÿ ÓÐü*h¥£ír¶ü UãSç‚Ÿ[AÐaè[ûª•õ&õj?†Éö+EzP—WeÒírJFt ‘BŒ†Ï‡%#tE Øz ¥OÛ«!1›üä±Í™%ºÍãö]°î(–:@<‹ŒÊö×òÆt¦ãº+‡¦%ÌÁ²h´OƒJŒtMÜ>ÀÜÊw3Y´•牋4ǍýʏTì>œú=Íwhyë,¾Ôò×õ¿ßÊa»«þˆѪQ|%6ž™A õ%:øj<>É—ÿ Å_ˆCbõ¥š±ý¯Ýƒï…¶|RëócÍf溪“t.СøTÿ *Ä¿-{†çàczůŽ_–^XþŒ±miB[X±d 1,é”zEù»& î9gœf™9Ð'.;—™i}!ôšåîqêÛ٤ёý£½ÆA–àôe"A$˝Úsäÿ ÷Û #°xŸëí(l »ý3—¥5m! rt`†0~'j2(]S¦¦kv,ÚÇ l¦øJA£Šƒ J3E8ÙiŽ:cÉžúeZ°€¯\®kÖ(79«Ž:¯X”¾³Š&¡* ….‰Ž(ÜíŸ2¥ª‡×Hi²TF¤ò[¨íÈRëÉ䢍mgÑ.Ÿ<öäS0í„ǹÁU´f#Vß;Õ–…P@3ío<ä-±»Ž.L|kªÀê›fÂ6@»eu‚|ÓaÞÆŸ…¨ááå>åŠ?cKü6ùTÍÆ”†sĤÚ;H2RÚ†õ\Ö·Ÿn'¾ ñ#ºI¤Å´%çÁ­‚â7›‹qT3Iï¨ÖÚ5I7Ë!ÅOóŸ¶øÝñØôת¦$Tcö‘[«Ö³šÒ';Aþ ¸èíg A2Z"i¸vdÄ÷.iõ®§)¿]¤À†–‡É&ä{V¶iŽ”.Ó×Õÿ û?h¬Mt–íª[ÿ Ñÿ ÌV(í}=ibÔ¡›¥¢±b Lô¥‡piη_Z<‡z§èŒ)iÖwiÇ 2hÙ3·=’d÷8éŽ1¦¸c¤µ€7›7Ø ð\á)} ¹fËí›pAÃL%âc2 í§æQz¿;T8sæ°qø)QFMð‰XŒÂ±N¢aF¨…8¯!U  Z©RÊ ÖPVÄÀÍin™Ì-GˆªÅËŠ›•zË}º±ŽÍFò¹}Uw×#ä5B¤{î}Ð<ÙD é©¤&‡ïDbàÁôMÁ." ¤‡ú*õ'VŽ|¼´Úgllº¼klz[Æüï÷Aób‡Eÿ dÑ»Xx9ÃÜ£ÁT/`¼¸vI±Ýµ·Ë‚“G³þ*Ÿû´r|*}<¨îºœ @¦mÄ’M¹”.œ«Y–|6ÏU¤jç¥ÕÞqO ˜kDÆÁ¨5ÿ š;Њ¦¦€GÙk \ –Þ=â¼=SͧµªS°ÚÍpÜãQűÀõ¬?ÃÁ1Ñ•õZà?hóœ€ L¦l{Y*K˜Ù›zc˜–ˆâ ø+¾ ­-Ök¥%ùEÜA'}ˆ><ÊIè“bpÍ/qÞâvoX€w,\úªò6Z[XdÒæ­@Ö—€$òJí#é>'°Ú ôª˜<)4ryÙ£|óAÅn5žêŸyÒäMÝ2{"}‰–¤l÷ûWX\l¾Á¸góÉOÔ /óñB¤f¸çñ[.P˜ZsÊË*ßT܈§QN¢’¡¨§V¼(Üù*eÕ“”5T¨‹Âê¥FŒã½Dü[8'Ò¥a…Ú¶k7a *•›¼'Ò·\8¨ª\@\õ¢¦íq+DÙrmÎ…_ªæ»ŠÓœ¡¯’Ré9MÅ×D™lælffc+ŒÑ,ý™ÿ ¯þǤ=Å’Á7µ÷ÚÛ/“Ü€ñýã¼àí¾ÕÑ+ƒ,uµMâÀÄbm:ÒÎPæ{˜Gz[ƒ¯«® KHà`ßØŠéí¯P8Aq.C‰ à€kòpj´kN¶qô€…Õ,ÜNŠª-­{Zö’æû44‰sŽè‰îVíRœÕm" 6?³D9¡ÇTíÅꋇ`4«¸ÝÁô ï’ýorqКÇZ«x4Žâéþuïf¹µö[P ,Q£éaX±`PÉÍZ ¸äYúg üAx ’6Lê‚xÝÓ*äQ  Ï’¨hÍ =²,6ï#rÃ<¯–£»ƒ‹,–ê•€ aÛsñ'%Æ"®ÛüìBᝠHÚ3ß°©$“XnœÖ’î2ËTeûìxîß ¦å¿çÉ ðK§þ{‘t‚Ϋ¬jéîZ[ ”š7L¥4VÚCE×]m¤Øy”ä4-dz£œ§¸x.*ãÊÊ b÷•h:©‡¦s`BTÁRû¾g⻩‹jø sF¢àJøFl‘È•Xᓁà~*j¯ +(ÚÕ6-£¯÷GŠØy‚<Ç’.F‹Hœw(+)ÜÜâÈzÄäT§FߘãÏ;DmVœ3Àu@mÚüXÝü•3B¨òÌÁÛ<·ÃÜ z,Ì@õÅ·d2]ü8s÷IôÞ¯^Ç9¢u„~ëAŸï4«M? 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This file is part of the GNU C Library. The GNU C Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The GNU C Library 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. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU C Library; if not, see . */ /* * ISO C99: 7.3 Complex arithmetic */ #ifndef _COMPLEX_H #define _COMPLEX_H 1 #define __GLIBC_INTERNAL_STARTING_HEADER_IMPLEMENTATION #include /* Get general and ISO C99 specific information. */ #include /* Gather machine-dependent _FloatN type support. */ #include __BEGIN_DECLS /* We might need to add support for more compilers here. But since ISO C99 is out hopefully all maintained compilers will soon provide the data types `float complex' and `double complex'. */ #if __GNUC_PREREQ (2, 7) && !__GNUC_PREREQ (2, 97) # define _Complex __complex__ #endif #define complex _Complex /* Narrowest imaginary unit. This depends on the floating-point evaluation method. XXX This probably has to go into a gcc related file. */ #define _Complex_I (__extension__ 1.0iF) /* Another more descriptive name is `I'. XXX Once we have the imaginary support switch this to _Imaginary_I. */ #undef I #define I _Complex_I #if defined __USE_ISOC11 && __GNUC_PREREQ (4, 7) /* Macros to expand into expression of specified complex type. */ # define CMPLX(x, y) __builtin_complex ((double) (x), (double) (y)) # define CMPLXF(x, y) __builtin_complex ((float) (x), (float) (y)) # define CMPLXL(x, y) __builtin_complex ((long double) (x), (long double) (y)) #endif #if __HAVE_FLOAT16 && __GLIBC_USE (IEC_60559_TYPES_EXT) # define CMPLXF16(x, y) __builtin_complex ((_Float16) (x), (_Float16) (y)) #endif #if __HAVE_FLOAT32 && __GLIBC_USE (IEC_60559_TYPES_EXT) # define CMPLXF32(x, y) __builtin_complex ((_Float32) (x), (_Float32) (y)) #endif #if __HAVE_FLOAT64 && __GLIBC_USE (IEC_60559_TYPES_EXT) # define CMPLXF64(x, y) __builtin_complex ((_Float64) (x), (_Float64) (y)) #endif #if __HAVE_FLOAT128 && __GLIBC_USE (IEC_60559_TYPES_EXT) # define CMPLXF128(x, y) __builtin_complex ((_Float128) (x), (_Float128) (y)) #endif #if __HAVE_FLOAT32X && __GLIBC_USE (IEC_60559_TYPES_EXT) # define CMPLXF32X(x, y) __builtin_complex ((_Float32x) (x), (_Float32x) (y)) #endif #if __HAVE_FLOAT64X && __GLIBC_USE (IEC_60559_TYPES_EXT) # define CMPLXF64X(x, y) __builtin_complex ((_Float64x) (x), (_Float64x) (y)) #endif #if __HAVE_FLOAT128X && __GLIBC_USE (IEC_60559_TYPES_EXT) # define CMPLXF128X(x, y) \ __builtin_complex ((_Float128x) (x), (_Float128x) (y)) #endif /* The file contains the prototypes for all the actual math functions. These macros are used for those prototypes, so we can easily declare each function as both `name' and `__name', and can declare the float versions `namef' and `__namef'. */ #define __MATHCALL(function, args) \ __MATHDECL (_Mdouble_complex_,function, args) #define __MATHDECL_IMPL(type, function, args) \ __MATHDECL_1(type, function, args); \ __MATHDECL_1(type, __CONCAT(__,function), args) #define __MATHDECL(type, function, args) \ __MATHDECL_IMPL(type, function, args) #define __MATHDECL_1_IMPL(type, function, args) \ extern type __MATH_PRECNAME(function) args __THROW #define __MATHDECL_1(type, function, args) \ __MATHDECL_1_IMPL(type, function, args) #define _Mdouble_ double #define __MATH_PRECNAME(name) name #include #undef _Mdouble_ #undef __MATH_PRECNAME /* Now the float versions. */ #define _Mdouble_ float #define __MATH_PRECNAME(name) name##f #include #undef _Mdouble_ #undef __MATH_PRECNAME /* And the long double versions. It is non-critical to define them here unconditionally since `long double' is required in ISO C99. */ #if !(defined __NO_LONG_DOUBLE_MATH && defined _LIBC) \ || defined __LDBL_COMPAT # ifdef __LDBL_COMPAT # undef __MATHDECL_1 # define __MATHDECL_1(type, function, args) \ extern type __REDIRECT_NTH(__MATH_PRECNAME(function), args, function) # elif __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1 # undef __MATHDECL_1 # undef __MATHDECL # define __REDIR_TO(function) \ __ ## function ## ieee128 # define __MATHDECL_1(type, function, alias, args) \ extern type __REDIRECT_NTH(__MATH_PRECNAME(function), args, alias) #define __MATHDECL(type, function, args) \ __MATHDECL_1(type, function, __REDIR_TO(function), args); \ __MATHDECL_1(type, __CONCAT(__,function), __REDIR_TO(function), args) # endif # define _Mdouble_ long double # define __MATH_PRECNAME(name) name##l # include # if defined __LDBL_COMPAT \ || __LDOUBLE_REDIRECTS_TO_FLOAT128_ABI == 1 # undef __REDIR_TO # undef __MATHDECL_1 # undef __MATHDECL #define __MATHDECL(type, function, args) \ __MATHDECL_IMPL(type, function, args) # define __MATHDECL_1(type, function, args) \ __MATHDECL_1_IMPL(type, function, args) # endif #endif #undef _Mdouble_ #undef __MATH_PRECNAME #if (__HAVE_DISTINCT_FLOAT16 || (__HAVE_FLOAT16 && !defined _LIBC)) \ && __GLIBC_USE (IEC_60559_TYPES_EXT) # undef _Mdouble_complex_ # define _Mdouble_complex_ __CFLOAT16 # define _Mdouble_ _Float16 # define __MATH_PRECNAME(name) name##f16 # include # undef _Mdouble_ # undef __MATH_PRECNAME # undef _Mdouble_complex_ #endif #if (__HAVE_DISTINCT_FLOAT32 || (__HAVE_FLOAT32 && !defined _LIBC)) \ && __GLIBC_USE (IEC_60559_TYPES_EXT) # undef _Mdouble_complex_ # define _Mdouble_complex_ __CFLOAT32 # define _Mdouble_ _Float32 # define __MATH_PRECNAME(name) name##f32 # include # undef _Mdouble_ # undef __MATH_PRECNAME # undef _Mdouble_complex_ #endif #if (__HAVE_DISTINCT_FLOAT64 || (__HAVE_FLOAT64 && !defined _LIBC)) \ && __GLIBC_USE (IEC_60559_TYPES_EXT) # undef _Mdouble_complex_ # define _Mdouble_complex_ __CFLOAT64 # define _Mdouble_ _Float64 # define __MATH_PRECNAME(name) name##f64 # include # undef _Mdouble_ # undef __MATH_PRECNAME # undef _Mdouble_complex_ #endif #if (__HAVE_DISTINCT_FLOAT128 || (__HAVE_FLOAT128 && !defined _LIBC)) \ && __GLIBC_USE (IEC_60559_TYPES_EXT) # undef _Mdouble_complex_ # define _Mdouble_complex_ __CFLOAT128 # define _Mdouble_ _Float128 # define __MATH_PRECNAME(name) name##f128 # include # undef _Mdouble_ # undef __MATH_PRECNAME # undef _Mdouble_complex_ #endif #if (__HAVE_DISTINCT_FLOAT32X || (__HAVE_FLOAT32X && !defined _LIBC)) \ && __GLIBC_USE (IEC_60559_TYPES_EXT) # undef _Mdouble_complex_ # define _Mdouble_complex_ __CFLOAT32X # define _Mdouble_ _Float32x # define __MATH_PRECNAME(name) name##f32x # include # undef _Mdouble_ # undef __MATH_PRECNAME # undef _Mdouble_complex_ #endif #if (__HAVE_DISTINCT_FLOAT64X || (__HAVE_FLOAT64X && !defined _LIBC)) \ && __GLIBC_USE (IEC_60559_TYPES_EXT) # undef _Mdouble_complex_ # define _Mdouble_complex_ __CFLOAT64X # define _Mdouble_ _Float64x # define __MATH_PRECNAME(name) name##f64x # include # undef _Mdouble_ # undef __MATH_PRECNAME # undef _Mdouble_complex_ #endif #if (__HAVE_DISTINCT_FLOAT128X || (__HAVE_FLOAT128X && !defined _LIBC)) \ && __GLIBC_USE (IEC_60559_TYPES_EXT) # undef _Mdouble_complex_ # define _Mdouble_complex_ __CFLOAT128X # define _Mdouble_ _Float128x # define __MATH_PRECNAME(name) name##f128x # include # undef _Mdouble_ # undef __MATH_PRECNAME # undef _Mdouble_complex_ #endif #undef __MATHDECL_1_IMPL #undef __MATHDECL_1 #undef __MATHDECL #undef __MATHCALL __END_DECLS #endif /* complex.h */