diff --git a/lec12/Makefile b/lec12/Makefile
new file mode 100644
index 0000000000000000000000000000000000000000..42a0cabf8d13c6b163b06b08a4363a9fb8b7668d
--- /dev/null
+++ b/lec12/Makefile
@@ -0,0 +1,59 @@
+OBJS = main.o fx_s15_16.o
+#CCFLAGS = -Wall -g -pg
+CCFLAGS = -Wall -O3
+main: $(OBJS)
+ cc $(OBJS) $(CCFLAGS) -o $@
+.c.o:
+ cc -c $(CCFLAGES) $<
+debug: main.c fx_s15_16.c fx_s15_16.h fx_head.h
+ cc -o main_for_debug -pg -g main.c fx_s15_16.c
+clean:
+ rm main $(OBJS)
+# DO NOT DELETE gccmakedep main.c fx_s15_16.c 로 만듦
+main.o: main.c /usr/include/stdc-predef.h fx_head.h fx_s15_16.h \
+ /usr/include/math.h \
+ /usr/include/x86_64-linux-gnu/bits/libc-header-start.h \
+ /usr/include/features.h /usr/include/x86_64-linux-gnu/sys/cdefs.h \
+ /usr/include/x86_64-linux-gnu/bits/wordsize.h \
+ /usr/include/x86_64-linux-gnu/bits/long-double.h \
+ /usr/include/x86_64-linux-gnu/gnu/stubs.h \
+ /usr/include/x86_64-linux-gnu/gnu/stubs-64.h \
+ /usr/include/x86_64-linux-gnu/bits/types.h \
+ /usr/include/x86_64-linux-gnu/bits/typesizes.h \
+ /usr/include/x86_64-linux-gnu/bits/math-vector.h \
+ /usr/include/x86_64-linux-gnu/bits/libm-simd-decl-stubs.h \
+ /usr/include/x86_64-linux-gnu/bits/floatn.h \
+ /usr/include/x86_64-linux-gnu/bits/floatn-common.h \
+ /usr/include/x86_64-linux-gnu/bits/flt-eval-method.h \
+ /usr/include/x86_64-linux-gnu/bits/fp-logb.h \
+ /usr/include/x86_64-linux-gnu/bits/fp-fast.h \
+ /usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h \
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+ /usr/include/x86_64-linux-gnu/bits/types/__mbstate_t.h \
+ /usr/lib/gcc/x86_64-linux-gnu/7/include/stdarg.h \
+ /usr/include/x86_64-linux-gnu/bits/stdio_lim.h \
+ /usr/include/x86_64-linux-gnu/bits/sys_errlist.h
+fx_s15_16.o: fx_s15_16.c /usr/include/stdc-predef.h fx_head.h fx_s15_16.h \
+ /usr/include/math.h \
+ /usr/include/x86_64-linux-gnu/bits/libc-header-start.h \
+ /usr/include/features.h /usr/include/x86_64-linux-gnu/sys/cdefs.h \
+ /usr/include/x86_64-linux-gnu/bits/wordsize.h \
+ /usr/include/x86_64-linux-gnu/bits/long-double.h \
+ /usr/include/x86_64-linux-gnu/gnu/stubs.h \
+ /usr/include/x86_64-linux-gnu/gnu/stubs-64.h \
+ /usr/include/x86_64-linux-gnu/bits/types.h \
+ /usr/include/x86_64-linux-gnu/bits/typesizes.h \
+ /usr/include/x86_64-linux-gnu/bits/math-vector.h \
+ /usr/include/x86_64-linux-gnu/bits/libm-simd-decl-stubs.h \
+ /usr/include/x86_64-linux-gnu/bits/floatn.h \
+ /usr/include/x86_64-linux-gnu/bits/floatn-common.h \
+ /usr/include/x86_64-linux-gnu/bits/flt-eval-method.h \
+ /usr/include/x86_64-linux-gnu/bits/fp-logb.h \
+ /usr/include/x86_64-linux-gnu/bits/fp-fast.h \
+ /usr/include/x86_64-linux-gnu/bits/mathcalls-helper-functions.h \
+ /usr/include/x86_64-linux-gnu/bits/mathcalls.h
diff --git a/lec12/Makefile.1 b/lec12/Makefile.1
new file mode 100644
index 0000000000000000000000000000000000000000..5f3c99dd9fc78ce92cd87319eb5a7b15c23332d8
--- /dev/null
+++ b/lec12/Makefile.1
@@ -0,0 +1,4 @@
+main: main.c fx_s15_16.c fx_head.h fx_s15_16.h
+ cc main.c fx_s15_16.c -o main
+clean:
+ rm main *.o *.out
diff --git a/lec12/Makefile.2 b/lec12/Makefile.2
new file mode 100644
index 0000000000000000000000000000000000000000..9dbc9c09dc0845adea23244859e4ce1da717d171
--- /dev/null
+++ b/lec12/Makefile.2
@@ -0,0 +1,8 @@
+main: main.o fx_s15_16.o
+ cc main.o fx_s15_16.o -o main
+main.o: main.c fx_head.h fx_s15_16.h
+ cc -c main.c
+fx_s15_16.o: fx_head.h fx_s15_16.c
+ cc -c fx_s15_16.c
+clean:
+ rm main *.o *.out
diff --git a/lec12/Makefile.3 b/lec12/Makefile.3
new file mode 100644
index 0000000000000000000000000000000000000000..5e963ab3b7d9021d0c11c345edd705fae7457109
--- /dev/null
+++ b/lec12/Makefile.3
@@ -0,0 +1,10 @@
+OBJS = main.o fx_s15_16.o
+CCFLAGS = -Wall -g -pg
+main: $(OBJS)
+ cc $(OBJS) $(CCFLAGS) -o $@
+main.o: main.c fx_head.h fx_s15_16.h
+ cc -c $(CCFLAGS) $<
+fx_s15_16.o: fx_s15_16.c fx_s15_16.h
+ cc -c $(CCFLAGS) $<
+clean:
+ rm main $(OBJS)
diff --git a/lec12/Makefile.bak b/lec12/Makefile.bak
new file mode 100644
index 0000000000000000000000000000000000000000..a8e14eee357ea1b6d785033d2b7734055ea63487
--- /dev/null
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@@ -0,0 +1,13 @@
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+ cc -c $(CCFLAGES) $<
+
+#main.o: main.c fx_head.h fx_s15_16.h
+# cc -c $(CCFLAGS) $<
+#fx_s15_16.o: fx_s15_16.c fx_s15_16.h
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+# define COMPILER_VERSION_MINOR DEC(_COMPILER_VERSION/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(_COMPILER_VERSION % 10)
+# endif
+
+
+/* These compilers are either not known or too old to define an
+ identification macro. Try to identify the platform and guess that
+ it is the native compiler. */
+#elif defined(__sgi)
+# define COMPILER_ID "MIPSpro"
+
+#elif defined(__hpux) || defined(__hpua)
+# define COMPILER_ID "HP"
+
+#else /* unknown compiler */
+# define COMPILER_ID ""
+#endif
+
+/* Construct the string literal in pieces to prevent the source from
+ getting matched. Store it in a pointer rather than an array
+ because some compilers will just produce instructions to fill the
+ array rather than assigning a pointer to a static array. */
+char const* info_compiler = "INFO" ":" "compiler[" COMPILER_ID "]";
+#ifdef SIMULATE_ID
+char const* info_simulate = "INFO" ":" "simulate[" SIMULATE_ID "]";
+#endif
+
+#ifdef __QNXNTO__
+char const* qnxnto = "INFO" ":" "qnxnto[]";
+#endif
+
+#if defined(__CRAYXE) || defined(__CRAYXC)
+char const *info_cray = "INFO" ":" "compiler_wrapper[CrayPrgEnv]";
+#endif
+
+#define STRINGIFY_HELPER(X) #X
+#define STRINGIFY(X) STRINGIFY_HELPER(X)
+
+/* Identify known platforms by name. */
+#if defined(__linux) || defined(__linux__) || defined(linux)
+# define PLATFORM_ID "Linux"
+
+#elif defined(__CYGWIN__)
+# define PLATFORM_ID "Cygwin"
+
+#elif defined(__MINGW32__)
+# define PLATFORM_ID "MinGW"
+
+#elif defined(__APPLE__)
+# define PLATFORM_ID "Darwin"
+
+#elif defined(_WIN32) || defined(__WIN32__) || defined(WIN32)
+# define PLATFORM_ID "Windows"
+
+#elif defined(__FreeBSD__) || defined(__FreeBSD)
+# define PLATFORM_ID "FreeBSD"
+
+#elif defined(__NetBSD__) || defined(__NetBSD)
+# define PLATFORM_ID "NetBSD"
+
+#elif defined(__OpenBSD__) || defined(__OPENBSD)
+# define PLATFORM_ID "OpenBSD"
+
+#elif defined(__sun) || defined(sun)
+# define PLATFORM_ID "SunOS"
+
+#elif defined(_AIX) || defined(__AIX) || defined(__AIX__) || defined(__aix) || defined(__aix__)
+# define PLATFORM_ID "AIX"
+
+#elif defined(__sgi) || defined(__sgi__) || defined(_SGI)
+# define PLATFORM_ID "IRIX"
+
+#elif defined(__hpux) || defined(__hpux__)
+# define PLATFORM_ID "HP-UX"
+
+#elif defined(__HAIKU__)
+# define PLATFORM_ID "Haiku"
+
+#elif defined(__BeOS) || defined(__BEOS__) || defined(_BEOS)
+# define PLATFORM_ID "BeOS"
+
+#elif defined(__QNX__) || defined(__QNXNTO__)
+# define PLATFORM_ID "QNX"
+
+#elif defined(__tru64) || defined(_tru64) || defined(__TRU64__)
+# define PLATFORM_ID "Tru64"
+
+#elif defined(__riscos) || defined(__riscos__)
+# define PLATFORM_ID "RISCos"
+
+#elif defined(__sinix) || defined(__sinix__) || defined(__SINIX__)
+# define PLATFORM_ID "SINIX"
+
+#elif defined(__UNIX_SV__)
+# define PLATFORM_ID "UNIX_SV"
+
+#elif defined(__bsdos__)
+# define PLATFORM_ID "BSDOS"
+
+#elif defined(_MPRAS) || defined(MPRAS)
+# define PLATFORM_ID "MP-RAS"
+
+#elif defined(__osf) || defined(__osf__)
+# define PLATFORM_ID "OSF1"
+
+#elif defined(_SCO_SV) || defined(SCO_SV) || defined(sco_sv)
+# define PLATFORM_ID "SCO_SV"
+
+#elif defined(__ultrix) || defined(__ultrix__) || defined(_ULTRIX)
+# define PLATFORM_ID "ULTRIX"
+
+#elif defined(__XENIX__) || defined(_XENIX) || defined(XENIX)
+# define PLATFORM_ID "Xenix"
+
+#elif defined(__WATCOMC__)
+# if defined(__LINUX__)
+# define PLATFORM_ID "Linux"
+
+# elif defined(__DOS__)
+# define PLATFORM_ID "DOS"
+
+# elif defined(__OS2__)
+# define PLATFORM_ID "OS2"
+
+# elif defined(__WINDOWS__)
+# define PLATFORM_ID "Windows3x"
+
+# else /* unknown platform */
+# define PLATFORM_ID
+# endif
+
+#else /* unknown platform */
+# define PLATFORM_ID
+
+#endif
+
+/* For windows compilers MSVC and Intel we can determine
+ the architecture of the compiler being used. This is because
+ the compilers do not have flags that can change the architecture,
+ but rather depend on which compiler is being used
+*/
+#if defined(_WIN32) && defined(_MSC_VER)
+# if defined(_M_IA64)
+# define ARCHITECTURE_ID "IA64"
+
+# elif defined(_M_X64) || defined(_M_AMD64)
+# define ARCHITECTURE_ID "x64"
+
+# elif defined(_M_IX86)
+# define ARCHITECTURE_ID "X86"
+
+# elif defined(_M_ARM64)
+# define ARCHITECTURE_ID "ARM64"
+
+# elif defined(_M_ARM)
+# if _M_ARM == 4
+# define ARCHITECTURE_ID "ARMV4I"
+# elif _M_ARM == 5
+# define ARCHITECTURE_ID "ARMV5I"
+# else
+# define ARCHITECTURE_ID "ARMV" STRINGIFY(_M_ARM)
+# endif
+
+# elif defined(_M_MIPS)
+# define ARCHITECTURE_ID "MIPS"
+
+# elif defined(_M_SH)
+# define ARCHITECTURE_ID "SHx"
+
+# else /* unknown architecture */
+# define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__WATCOMC__)
+# if defined(_M_I86)
+# define ARCHITECTURE_ID "I86"
+
+# elif defined(_M_IX86)
+# define ARCHITECTURE_ID "X86"
+
+# else /* unknown architecture */
+# define ARCHITECTURE_ID ""
+# endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# if defined(__ICCARM__)
+# define ARCHITECTURE_ID "ARM"
+
+# elif defined(__ICCAVR__)
+# define ARCHITECTURE_ID "AVR"
+
+# else /* unknown architecture */
+# define ARCHITECTURE_ID ""
+# endif
+#else
+# define ARCHITECTURE_ID
+#endif
+
+/* Convert integer to decimal digit literals. */
+#define DEC(n) \
+ ('0' + (((n) / 10000000)%10)), \
+ ('0' + (((n) / 1000000)%10)), \
+ ('0' + (((n) / 100000)%10)), \
+ ('0' + (((n) / 10000)%10)), \
+ ('0' + (((n) / 1000)%10)), \
+ ('0' + (((n) / 100)%10)), \
+ ('0' + (((n) / 10)%10)), \
+ ('0' + ((n) % 10))
+
+/* Convert integer to hex digit literals. */
+#define HEX(n) \
+ ('0' + ((n)>>28 & 0xF)), \
+ ('0' + ((n)>>24 & 0xF)), \
+ ('0' + ((n)>>20 & 0xF)), \
+ ('0' + ((n)>>16 & 0xF)), \
+ ('0' + ((n)>>12 & 0xF)), \
+ ('0' + ((n)>>8 & 0xF)), \
+ ('0' + ((n)>>4 & 0xF)), \
+ ('0' + ((n) & 0xF))
+
+/* Construct a string literal encoding the version number components. */
+#ifdef COMPILER_VERSION_MAJOR
+char const info_version[] = {
+ 'I', 'N', 'F', 'O', ':',
+ 'c','o','m','p','i','l','e','r','_','v','e','r','s','i','o','n','[',
+ COMPILER_VERSION_MAJOR,
+# ifdef COMPILER_VERSION_MINOR
+ '.', COMPILER_VERSION_MINOR,
+# ifdef COMPILER_VERSION_PATCH
+ '.', COMPILER_VERSION_PATCH,
+# ifdef COMPILER_VERSION_TWEAK
+ '.', COMPILER_VERSION_TWEAK,
+# endif
+# endif
+# endif
+ ']','\0'};
+#endif
+
+/* Construct a string literal encoding the internal version number. */
+#ifdef COMPILER_VERSION_INTERNAL
+char const info_version_internal[] = {
+ 'I', 'N', 'F', 'O', ':',
+ 'c','o','m','p','i','l','e','r','_','v','e','r','s','i','o','n','_',
+ 'i','n','t','e','r','n','a','l','[',
+ COMPILER_VERSION_INTERNAL,']','\0'};
+#endif
+
+/* Construct a string literal encoding the version number components. */
+#ifdef SIMULATE_VERSION_MAJOR
+char const info_simulate_version[] = {
+ 'I', 'N', 'F', 'O', ':',
+ 's','i','m','u','l','a','t','e','_','v','e','r','s','i','o','n','[',
+ SIMULATE_VERSION_MAJOR,
+# ifdef SIMULATE_VERSION_MINOR
+ '.', SIMULATE_VERSION_MINOR,
+# ifdef SIMULATE_VERSION_PATCH
+ '.', SIMULATE_VERSION_PATCH,
+# ifdef SIMULATE_VERSION_TWEAK
+ '.', SIMULATE_VERSION_TWEAK,
+# endif
+# endif
+# endif
+ ']','\0'};
+#endif
+
+/* Construct the string literal in pieces to prevent the source from
+ getting matched. Store it in a pointer rather than an array
+ because some compilers will just produce instructions to fill the
+ array rather than assigning a pointer to a static array. */
+char const* info_platform = "INFO" ":" "platform[" PLATFORM_ID "]";
+char const* info_arch = "INFO" ":" "arch[" ARCHITECTURE_ID "]";
+
+
+
+
+#if !defined(__STDC__)
+# if defined(_MSC_VER) && !defined(__clang__)
+# define C_DIALECT "90"
+# else
+# define C_DIALECT
+# endif
+#elif __STDC_VERSION__ >= 201000L
+# define C_DIALECT "11"
+#elif __STDC_VERSION__ >= 199901L
+# define C_DIALECT "99"
+#else
+# define C_DIALECT "90"
+#endif
+const char* info_language_dialect_default =
+ "INFO" ":" "dialect_default[" C_DIALECT "]";
+
+/*--------------------------------------------------------------------------*/
+
+#ifdef ID_VOID_MAIN
+void main() {}
+#else
+# if defined(__CLASSIC_C__)
+int main(argc, argv) int argc; char *argv[];
+# else
+int main(int argc, char* argv[])
+# endif
+{
+ int require = 0;
+ require += info_compiler[argc];
+ require += info_platform[argc];
+ require += info_arch[argc];
+#ifdef COMPILER_VERSION_MAJOR
+ require += info_version[argc];
+#endif
+#ifdef COMPILER_VERSION_INTERNAL
+ require += info_version_internal[argc];
+#endif
+#ifdef SIMULATE_ID
+ require += info_simulate[argc];
+#endif
+#ifdef SIMULATE_VERSION_MAJOR
+ require += info_simulate_version[argc];
+#endif
+#if defined(__CRAYXE) || defined(__CRAYXC)
+ require += info_cray[argc];
+#endif
+ require += info_language_dialect_default[argc];
+ (void)argv;
+ return require;
+}
+#endif
diff --git a/lec12/cmaketest/CMakeFiles/3.10.2/CompilerIdCXX/CMakeCXXCompilerId.cpp b/lec12/cmaketest/CMakeFiles/3.10.2/CompilerIdCXX/CMakeCXXCompilerId.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..2d66298588989dc5d404dae0025b8bf4e952498e
--- /dev/null
+++ b/lec12/cmaketest/CMakeFiles/3.10.2/CompilerIdCXX/CMakeCXXCompilerId.cpp
@@ -0,0 +1,576 @@
+/* This source file must have a .cpp extension so that all C++ compilers
+ recognize the extension without flags. Borland does not know .cxx for
+ example. */
+#ifndef __cplusplus
+# error "A C compiler has been selected for C++."
+#endif
+
+
+/* Version number components: V=Version, R=Revision, P=Patch
+ Version date components: YYYY=Year, MM=Month, DD=Day */
+
+#if defined(__COMO__)
+# define COMPILER_ID "Comeau"
+ /* __COMO_VERSION__ = VRR */
+# define COMPILER_VERSION_MAJOR DEC(__COMO_VERSION__ / 100)
+# define COMPILER_VERSION_MINOR DEC(__COMO_VERSION__ % 100)
+
+#elif defined(__INTEL_COMPILER) || defined(__ICC)
+# define COMPILER_ID "Intel"
+# if defined(_MSC_VER)
+# define SIMULATE_ID "MSVC"
+# endif
+ /* __INTEL_COMPILER = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__INTEL_COMPILER/100)
+# define COMPILER_VERSION_MINOR DEC(__INTEL_COMPILER/10 % 10)
+# if defined(__INTEL_COMPILER_UPDATE)
+# define COMPILER_VERSION_PATCH DEC(__INTEL_COMPILER_UPDATE)
+# else
+# define COMPILER_VERSION_PATCH DEC(__INTEL_COMPILER % 10)
+# endif
+# if defined(__INTEL_COMPILER_BUILD_DATE)
+ /* __INTEL_COMPILER_BUILD_DATE = YYYYMMDD */
+# define COMPILER_VERSION_TWEAK DEC(__INTEL_COMPILER_BUILD_DATE)
+# endif
+# if defined(_MSC_VER)
+ /* _MSC_VER = VVRR */
+# define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+# define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+
+#elif defined(__PATHCC__)
+# define COMPILER_ID "PathScale"
+# define COMPILER_VERSION_MAJOR DEC(__PATHCC__)
+# define COMPILER_VERSION_MINOR DEC(__PATHCC_MINOR__)
+# if defined(__PATHCC_PATCHLEVEL__)
+# define COMPILER_VERSION_PATCH DEC(__PATHCC_PATCHLEVEL__)
+# endif
+
+#elif defined(__BORLANDC__) && defined(__CODEGEARC_VERSION__)
+# define COMPILER_ID "Embarcadero"
+# define COMPILER_VERSION_MAJOR HEX(__CODEGEARC_VERSION__>>24 & 0x00FF)
+# define COMPILER_VERSION_MINOR HEX(__CODEGEARC_VERSION__>>16 & 0x00FF)
+# define COMPILER_VERSION_PATCH DEC(__CODEGEARC_VERSION__ & 0xFFFF)
+
+#elif defined(__BORLANDC__)
+# define COMPILER_ID "Borland"
+ /* __BORLANDC__ = 0xVRR */
+# define COMPILER_VERSION_MAJOR HEX(__BORLANDC__>>8)
+# define COMPILER_VERSION_MINOR HEX(__BORLANDC__ & 0xFF)
+
+#elif defined(__WATCOMC__) && __WATCOMC__ < 1200
+# define COMPILER_ID "Watcom"
+ /* __WATCOMC__ = VVRR */
+# define COMPILER_VERSION_MAJOR DEC(__WATCOMC__ / 100)
+# define COMPILER_VERSION_MINOR DEC((__WATCOMC__ / 10) % 10)
+# if (__WATCOMC__ % 10) > 0
+# define COMPILER_VERSION_PATCH DEC(__WATCOMC__ % 10)
+# endif
+
+#elif defined(__WATCOMC__)
+# define COMPILER_ID "OpenWatcom"
+ /* __WATCOMC__ = VVRP + 1100 */
+# define COMPILER_VERSION_MAJOR DEC((__WATCOMC__ - 1100) / 100)
+# define COMPILER_VERSION_MINOR DEC((__WATCOMC__ / 10) % 10)
+# if (__WATCOMC__ % 10) > 0
+# define COMPILER_VERSION_PATCH DEC(__WATCOMC__ % 10)
+# endif
+
+#elif defined(__SUNPRO_CC)
+# define COMPILER_ID "SunPro"
+# if __SUNPRO_CC >= 0x5100
+ /* __SUNPRO_CC = 0xVRRP */
+# define COMPILER_VERSION_MAJOR HEX(__SUNPRO_CC>>12)
+# define COMPILER_VERSION_MINOR HEX(__SUNPRO_CC>>4 & 0xFF)
+# define COMPILER_VERSION_PATCH HEX(__SUNPRO_CC & 0xF)
+# else
+ /* __SUNPRO_CC = 0xVRP */
+# define COMPILER_VERSION_MAJOR HEX(__SUNPRO_CC>>8)
+# define COMPILER_VERSION_MINOR HEX(__SUNPRO_CC>>4 & 0xF)
+# define COMPILER_VERSION_PATCH HEX(__SUNPRO_CC & 0xF)
+# endif
+
+#elif defined(__HP_aCC)
+# define COMPILER_ID "HP"
+ /* __HP_aCC = VVRRPP */
+# define COMPILER_VERSION_MAJOR DEC(__HP_aCC/10000)
+# define COMPILER_VERSION_MINOR DEC(__HP_aCC/100 % 100)
+# define COMPILER_VERSION_PATCH DEC(__HP_aCC % 100)
+
+#elif defined(__DECCXX)
+# define COMPILER_ID "Compaq"
+ /* __DECCXX_VER = VVRRTPPPP */
+# define COMPILER_VERSION_MAJOR DEC(__DECCXX_VER/10000000)
+# define COMPILER_VERSION_MINOR DEC(__DECCXX_VER/100000 % 100)
+# define COMPILER_VERSION_PATCH DEC(__DECCXX_VER % 10000)
+
+#elif defined(__IBMCPP__) && defined(__COMPILER_VER__)
+# define COMPILER_ID "zOS"
+ /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__ % 10)
+
+#elif defined(__IBMCPP__) && !defined(__COMPILER_VER__) && __IBMCPP__ >= 800
+# define COMPILER_ID "XL"
+ /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__ % 10)
+
+#elif defined(__IBMCPP__) && !defined(__COMPILER_VER__) && __IBMCPP__ < 800
+# define COMPILER_ID "VisualAge"
+ /* __IBMCPP__ = VRP */
+# define COMPILER_VERSION_MAJOR DEC(__IBMCPP__/100)
+# define COMPILER_VERSION_MINOR DEC(__IBMCPP__/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(__IBMCPP__ % 10)
+
+#elif defined(__PGI)
+# define COMPILER_ID "PGI"
+# define COMPILER_VERSION_MAJOR DEC(__PGIC__)
+# define COMPILER_VERSION_MINOR DEC(__PGIC_MINOR__)
+# if defined(__PGIC_PATCHLEVEL__)
+# define COMPILER_VERSION_PATCH DEC(__PGIC_PATCHLEVEL__)
+# endif
+
+#elif defined(_CRAYC)
+# define COMPILER_ID "Cray"
+# define COMPILER_VERSION_MAJOR DEC(_RELEASE_MAJOR)
+# define COMPILER_VERSION_MINOR DEC(_RELEASE_MINOR)
+
+#elif defined(__TI_COMPILER_VERSION__)
+# define COMPILER_ID "TI"
+ /* __TI_COMPILER_VERSION__ = VVVRRRPPP */
+# define COMPILER_VERSION_MAJOR DEC(__TI_COMPILER_VERSION__/1000000)
+# define COMPILER_VERSION_MINOR DEC(__TI_COMPILER_VERSION__/1000 % 1000)
+# define COMPILER_VERSION_PATCH DEC(__TI_COMPILER_VERSION__ % 1000)
+
+#elif defined(__FUJITSU) || defined(__FCC_VERSION) || defined(__fcc_version)
+# define COMPILER_ID "Fujitsu"
+
+#elif defined(__SCO_VERSION__)
+# define COMPILER_ID "SCO"
+
+#elif defined(__clang__) && defined(__apple_build_version__)
+# define COMPILER_ID "AppleClang"
+# if defined(_MSC_VER)
+# define SIMULATE_ID "MSVC"
+# endif
+# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
+# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
+# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
+# if defined(_MSC_VER)
+ /* _MSC_VER = VVRR */
+# define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+# define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+# define COMPILER_VERSION_TWEAK DEC(__apple_build_version__)
+
+#elif defined(__clang__)
+# define COMPILER_ID "Clang"
+# if defined(_MSC_VER)
+# define SIMULATE_ID "MSVC"
+# endif
+# define COMPILER_VERSION_MAJOR DEC(__clang_major__)
+# define COMPILER_VERSION_MINOR DEC(__clang_minor__)
+# define COMPILER_VERSION_PATCH DEC(__clang_patchlevel__)
+# if defined(_MSC_VER)
+ /* _MSC_VER = VVRR */
+# define SIMULATE_VERSION_MAJOR DEC(_MSC_VER / 100)
+# define SIMULATE_VERSION_MINOR DEC(_MSC_VER % 100)
+# endif
+
+#elif defined(__GNUC__) || defined(__GNUG__)
+# define COMPILER_ID "GNU"
+# if defined(__GNUC__)
+# define COMPILER_VERSION_MAJOR DEC(__GNUC__)
+# else
+# define COMPILER_VERSION_MAJOR DEC(__GNUG__)
+# endif
+# if defined(__GNUC_MINOR__)
+# define COMPILER_VERSION_MINOR DEC(__GNUC_MINOR__)
+# endif
+# if defined(__GNUC_PATCHLEVEL__)
+# define COMPILER_VERSION_PATCH DEC(__GNUC_PATCHLEVEL__)
+# endif
+
+#elif defined(_MSC_VER)
+# define COMPILER_ID "MSVC"
+ /* _MSC_VER = VVRR */
+# define COMPILER_VERSION_MAJOR DEC(_MSC_VER / 100)
+# define COMPILER_VERSION_MINOR DEC(_MSC_VER % 100)
+# if defined(_MSC_FULL_VER)
+# if _MSC_VER >= 1400
+ /* _MSC_FULL_VER = VVRRPPPPP */
+# define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 100000)
+# else
+ /* _MSC_FULL_VER = VVRRPPPP */
+# define COMPILER_VERSION_PATCH DEC(_MSC_FULL_VER % 10000)
+# endif
+# endif
+# if defined(_MSC_BUILD)
+# define COMPILER_VERSION_TWEAK DEC(_MSC_BUILD)
+# endif
+
+#elif defined(__VISUALDSPVERSION__) || defined(__ADSPBLACKFIN__) || defined(__ADSPTS__) || defined(__ADSP21000__)
+# define COMPILER_ID "ADSP"
+#if defined(__VISUALDSPVERSION__)
+ /* __VISUALDSPVERSION__ = 0xVVRRPP00 */
+# define COMPILER_VERSION_MAJOR HEX(__VISUALDSPVERSION__>>24)
+# define COMPILER_VERSION_MINOR HEX(__VISUALDSPVERSION__>>16 & 0xFF)
+# define COMPILER_VERSION_PATCH HEX(__VISUALDSPVERSION__>>8 & 0xFF)
+#endif
+
+#elif defined(__IAR_SYSTEMS_ICC__) || defined(__IAR_SYSTEMS_ICC)
+# define COMPILER_ID "IAR"
+# if defined(__VER__)
+# define COMPILER_VERSION_MAJOR DEC((__VER__) / 1000000)
+# define COMPILER_VERSION_MINOR DEC(((__VER__) / 1000) % 1000)
+# define COMPILER_VERSION_PATCH DEC((__VER__) % 1000)
+# define COMPILER_VERSION_INTERNAL DEC(__IAR_SYSTEMS_ICC__)
+# endif
+
+#elif defined(__ARMCC_VERSION)
+# define COMPILER_ID "ARMCC"
+#if __ARMCC_VERSION >= 1000000
+ /* __ARMCC_VERSION = VRRPPPP */
+ # define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/1000000)
+ # define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 100)
+ # define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION % 10000)
+#else
+ /* __ARMCC_VERSION = VRPPPP */
+ # define COMPILER_VERSION_MAJOR DEC(__ARMCC_VERSION/100000)
+ # define COMPILER_VERSION_MINOR DEC(__ARMCC_VERSION/10000 % 10)
+ # define COMPILER_VERSION_PATCH DEC(__ARMCC_VERSION % 10000)
+#endif
+
+
+#elif defined(_SGI_COMPILER_VERSION) || defined(_COMPILER_VERSION)
+# define COMPILER_ID "MIPSpro"
+# if defined(_SGI_COMPILER_VERSION)
+ /* _SGI_COMPILER_VERSION = VRP */
+# define COMPILER_VERSION_MAJOR DEC(_SGI_COMPILER_VERSION/100)
+# define COMPILER_VERSION_MINOR DEC(_SGI_COMPILER_VERSION/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(_SGI_COMPILER_VERSION % 10)
+# else
+ /* _COMPILER_VERSION = VRP */
+# define COMPILER_VERSION_MAJOR DEC(_COMPILER_VERSION/100)
+# define COMPILER_VERSION_MINOR DEC(_COMPILER_VERSION/10 % 10)
+# define COMPILER_VERSION_PATCH DEC(_COMPILER_VERSION % 10)
+# endif
+
+
+/* These compilers are either not known or too old to define an
+ identification macro. Try to identify the platform and guess that
+ it is the native compiler. */
+#elif defined(__sgi)
+# define COMPILER_ID "MIPSpro"
+
+#elif defined(__hpux) || defined(__hpua)
+# define COMPILER_ID "HP"
+
+#else /* unknown compiler */
+# define COMPILER_ID ""
+#endif
+
+/* Construct the string literal in pieces to prevent the source from
+ getting matched. Store it in a pointer rather than an array
+ because some compilers will just produce instructions to fill the
+ array rather than assigning a pointer to a static array. */
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+# Help Target
+help:
+ @echo "The following are some of the valid targets for this Makefile:"
+ @echo "... all (the default if no target is provided)"
+ @echo "... clean"
+ @echo "... depend"
+ @echo "... rebuild_cache"
+ @echo "... main"
+ @echo "... edit_cache"
+ @echo "... fx_s15_16.o"
+ @echo "... fx_s15_16.i"
+ @echo "... fx_s15_16.s"
+ @echo "... main.o"
+ @echo "... main.i"
+ @echo "... main.s"
+.PHONY : help
+
+
+
+#=============================================================================
+# Special targets to cleanup operation of make.
+
+# Special rule to run CMake to check the build system integrity.
+# No rule that depends on this can have commands that come from listfiles
+# because they might be regenerated.
+cmake_check_build_system:
+ $(CMAKE_COMMAND) -H$(CMAKE_SOURCE_DIR) -B$(CMAKE_BINARY_DIR) --check-build-system CMakeFiles/Makefile.cmake 0
+.PHONY : cmake_check_build_system
+
diff --git a/lec12/cmaketest/cmake_install.cmake b/lec12/cmaketest/cmake_install.cmake
new file mode 100644
index 0000000000000000000000000000000000000000..a202eb0eb91b81f89270d254076c20f9b7baf4b8
--- /dev/null
+++ b/lec12/cmaketest/cmake_install.cmake
@@ -0,0 +1,49 @@
+# Install script for directory: /home/course/pcc022/pcc/lec12/cmaketest
+
+# Set the install prefix
+if(NOT DEFINED CMAKE_INSTALL_PREFIX)
+ set(CMAKE_INSTALL_PREFIX "/usr/local")
+endif()
+string(REGEX REPLACE "/$" "" CMAKE_INSTALL_PREFIX "${CMAKE_INSTALL_PREFIX}")
+
+# Set the install configuration name.
+if(NOT DEFINED CMAKE_INSTALL_CONFIG_NAME)
+ if(BUILD_TYPE)
+ string(REGEX REPLACE "^[^A-Za-z0-9_]+" ""
+ CMAKE_INSTALL_CONFIG_NAME "${BUILD_TYPE}")
+ else()
+ set(CMAKE_INSTALL_CONFIG_NAME "")
+ endif()
+ message(STATUS "Install configuration: \"${CMAKE_INSTALL_CONFIG_NAME}\"")
+endif()
+
+# Set the component getting installed.
+if(NOT CMAKE_INSTALL_COMPONENT)
+ if(COMPONENT)
+ message(STATUS "Install component: \"${COMPONENT}\"")
+ set(CMAKE_INSTALL_COMPONENT "${COMPONENT}")
+ else()
+ set(CMAKE_INSTALL_COMPONENT)
+ endif()
+endif()
+
+# Install shared libraries without execute permission?
+if(NOT DEFINED CMAKE_INSTALL_SO_NO_EXE)
+ set(CMAKE_INSTALL_SO_NO_EXE "1")
+endif()
+
+# Is this installation the result of a crosscompile?
+if(NOT DEFINED CMAKE_CROSSCOMPILING)
+ set(CMAKE_CROSSCOMPILING "FALSE")
+endif()
+
+if(CMAKE_INSTALL_COMPONENT)
+ set(CMAKE_INSTALL_MANIFEST "install_manifest_${CMAKE_INSTALL_COMPONENT}.txt")
+else()
+ set(CMAKE_INSTALL_MANIFEST "install_manifest.txt")
+endif()
+
+string(REPLACE ";" "\n" CMAKE_INSTALL_MANIFEST_CONTENT
+ "${CMAKE_INSTALL_MANIFEST_FILES}")
+file(WRITE "/home/course/pcc022/pcc/lec12/cmaketest/${CMAKE_INSTALL_MANIFEST}"
+ "${CMAKE_INSTALL_MANIFEST_CONTENT}")
diff --git a/lec12/cmaketest/fx_head.h b/lec12/cmaketest/fx_head.h
new file mode 100644
index 0000000000000000000000000000000000000000..6d9bd26a9b71c0b8d449d09e20b903517d71bad4
--- /dev/null
+++ b/lec12/cmaketest/fx_head.h
@@ -0,0 +1,79 @@
+#pragma once
+
+// Fixed with signed long long
+#define FX_S28_35 ((1<<16) | (28<<8) | (35))
+#define FX_S29_34 ((1<<16) | (29<<8) | (34))
+#define FX_S30_33 ((1<<16) | (30<<8) | (33))
+#define FX_S31_32 ((1<<16) | (31<<8) | (32))
+#define FX_S32_31 ((1<<16) | (32<<8) | (31))
+#define FX_S33_30 ((1<<16) | (33<<8) | (30))
+#define FX_S34_29 ((1<<16) | (34<<8) | (29))
+#define FX_S35_28 ((1<<16) | (35<<8) | (28))
+// Fixed with unsigned long long
+#define FX_U29_35 ((0<<16) | (29<<8) | (35))
+#define FX_U30_34 ((0<<16) | (30<<8) | (34))
+#define FX_U31_33 ((0<<16) | (31<<8) | (33))
+#define FX_U32_32 ((0<<16) | (32<<8) | (32))
+#define FX_U33_31 ((0<<16) | (33<<8) | (31))
+#define FX_U34_30 ((0<<16) | (34<<8) | (30))
+#define FX_U35_29 ((0<<16) | (35<<8) | (29))
+#define FX_U36_28 ((0<<16) | (36<<8) | (28))
+// Fixed with signed int
+#define FX_S12_19 ((1<<16) | (12<<8) | (19))
+#define FX_S13_18 ((1<<16) | (13<<8) | (18))
+#define FX_S14_17 ((1<<16) | (14<<8) | (17))
+#define FX_S15_16 ((1<<16) | (15<<8) | (16))
+#define FX_S16_15 ((1<<16) | (16<<8) | (15))
+#define FX_S17_14 ((1<<16) | (17<<8) | (14))
+#define FX_S18_13 ((1<<16) | (18<<8) | (13))
+#define FX_S19_12 ((1<<16) | (19<<8) | (12))
+// Fixed with unsigned int
+#define FX_S13_19 ((0<<16) | (13<<8) | (19))
+#define FX_S14_18 ((0<<16) | (14<<8) | (18))
+#define FX_S15_17 ((0<<16) | (15<<8) | (17))
+#define FX_S16_16 ((0<<16) | (16<<8) | (16))
+#define FX_S17_15 ((0<<16) | (17<<8) | (15))
+#define FX_S18_14 ((0<<16) | (18<<8) | (14))
+#define FX_S19_13 ((0<<16) | (19<<8) | (13))
+#define FX_S20_12 ((0<<16) | (20<<8) | (12))
+// Fixed with signed short
+#define FX_S04_11 ((1<<16) | (4<<8) | (11))
+#define FX_S05_10 ((1<<16) | (5<<8) | (10))
+#define FX_S06_09 ((1<<16) | (6<<8) | (9))
+#define FX_S07_08 ((1<<16) | (7<<8) | (8))
+#define FX_S08_07 ((1<<16) | (8<<8) | (7))
+#define FX_S09_06 ((1<<16) | (9<<8) | (6))
+#define FX_S10_05 ((1<<16) | (10<<8) | (5))
+#define FX_S11_04 ((1<<16) | (11<<8) | (4))
+// Fixed with unsigned short
+#define FX_S05_11 ((0<<16) | (5<<8) | (11))
+#define FX_S06_10 ((0<<16) | (6<<8) | (10))
+#define FX_S07_09 ((0<<16) | (7<<8) | (9))
+#define FX_S08_08 ((0<<16) | (8<<8) | (8))
+#define FX_S09_07 ((0<<16) | (9<<8) | (7))
+#define FX_S10_06 ((0<<16) | (10<<8) | (6))
+#define FX_S11_05 ((0<<16) | (11<<8) | (5))
+#define FX_S12_04 ((0<<16) | (12<<8) | (4))
+// Fixed with signed char
+#define FX_S00_07 ((1<<16) | (0<<8) | (7))
+#define FX_S01_06 ((1<<16) | (1<<8) | (6))
+#define FX_S02_05 ((1<<16) | (2<<8) | (5))
+#define FX_S03_04 ((1<<16) | (3<<8) | (4))
+#define FX_S04_03 ((1<<16) | (4<<8) | (3))
+#define FX_S05_02 ((1<<16) | (5<<8) | (2))
+#define FX_S06_01 ((1<<16) | (6<<8) | (1))
+// #define FX_S07_00 ((1<<16) | (7<<8) | (0)) // It is same as unsigned char
+// Fixed with unsigned char
+#define FX_S00_08 ((0<<16) | (0<<8) | (8))
+#define FX_S01_07 ((0<<16) | (1<<8) | (7))
+#define FX_S02_06 ((0<<16) | (2<<8) | (6))
+#define FX_S03_05 ((0<<16) | (3<<8) | (5))
+#define FX_S04_04 ((0<<16) | (4<<8) | (4))
+#define FX_S05_03 ((0<<16) | (5<<8) | (3))
+#define FX_S06_02 ((0<<16) | (6<<8) | (2))
+#define FX_S07_01 ((0<<16) | (7<<8) | (1))
+// Operation Preference
+#define FX_OP_FLOAT 1
+#define FX_OP_PRECISION 2
+#define FX_OP_FAIR 3
+#define FX_OP_PERFORMANCE 4
diff --git a/lec12/cmaketest/fx_s15_16.c b/lec12/cmaketest/fx_s15_16.c
new file mode 100644
index 0000000000000000000000000000000000000000..faafafc125a234e7ced2368ebea4e6bd7d553f27
--- /dev/null
+++ b/lec12/cmaketest/fx_s15_16.c
@@ -0,0 +1,7 @@
+#include "fx_head.h"
+#include "fx_s15_16.h"
+
+fixed fxMul_float(fixed a, fixed b)
+{
+ return fromFloat(toFloat(a) * toFloat(b));
+}
diff --git a/lec12/cmaketest/fx_s15_16.h b/lec12/cmaketest/fx_s15_16.h
new file mode 100644
index 0000000000000000000000000000000000000000..8e2178f66783ecbde24f8053010d7dd9640d8a9c
--- /dev/null
+++ b/lec12/cmaketest/fx_s15_16.h
@@ -0,0 +1,37 @@
+#include "fx_head.h"
+#include <math.h>
+
+#define FX_POINT FX_S15_16
+
+#define FX_Q_NUM (FX_POINT & 0xFF) // 16
+
+// If you want calculate with high precision set 64
+#define FX_SYSTEM_INTEGER 32 // or 32 or 16 or 8
+#define FX_SYSTEM_FLOAT 32 // or 32
+
+#define FX_DATA_TYPE signed int
+
+
+typedef int fx_s15_16;
+typedef fx_s15_16 fixed;
+
+#define fromDouble(d) ((fixed)((d)*DOUBLE_Q_VALUE))
+#define toDouble(d) ((double)(d)*DOUBLE_1_Q_VALUE)
+#define fromFloat(d) ((fixed)((d)*FLOAT_Q_VALUE))
+#define toFloat(d) ((float)(d)*FLOAT_1_Q_VALUE)
+
+// CONSTANTS
+#define FLOAT_Q_VALUE (float)(1<<FX_Q_NUM)
+#define DOUBLE_Q_VALUE (double)(1<<FX_Q_NUM)
+#define FLOAT_1_Q_VALUE (float)(1.0f/FLOAT_Q_VALUE)
+#define DOUBLE_1_Q_VALUE (double)(1.0f/DOUBLE_Q_VALUE)
+#define FX_PI fromDOUBLE(M_PI)
+
+// One of FX_OP_FLOAT, FX_OP_PRECISION, FX_OP_FAIR, FX_OP_PERFORMANCE
+#define FX_OP_PREFERENCE FX_OP_FLOAT
+
+extern fixed fxAdd_float(), fxAdd_precision(), fxAdd_fair(), fxAdd_performance();
+extern fixed fxSub_float(), fxSub_precision(), fxSub_fair(), fxSub_performance();
+extern fixed fxMul_float(), fxMul_precision(), fxMul_fair(), fxMul_performance();
+extern fixed fxDiv_float(), fxDiv_precision(), fxDiv_fair(), fxDiv_performance();
+
diff --git a/lec12/cmaketest/main.c b/lec12/cmaketest/main.c
new file mode 100644
index 0000000000000000000000000000000000000000..015b4188500fdd6caad766f17fe84d176f70a79a
--- /dev/null
+++ b/lec12/cmaketest/main.c
@@ -0,0 +1,12 @@
+#include "fx_head.h"
+#include "fx_s15_16.h"
+#include <stdio.h>
+
+
+int main()
+{
+
+ printf("%f : %d\n",1.0, fromDouble(1.0));
+ printf("%f : %f\n",1.3*0.3, toFloat(fxMul_float(fromDouble(1.3),fromDouble(0.3)))) ;
+
+}
diff --git a/lec12/cmaketest/test2.c b/lec12/cmaketest/test2.c
new file mode 100644
index 0000000000000000000000000000000000000000..2c0cabd0594143ecd1e74aa5416652bc37d417f6
--- /dev/null
+++ b/lec12/cmaketest/test2.c
@@ -0,0 +1,46 @@
+#include <stdio.h>
+// #### #### #### #### . #### #### #### ####
+// S 15 . 16
+#define FX_Q_NUM 16
+#define FX_2_MINUS_16 1.52587890625e-05F
+#define FX_2_PLUS_16 (1<<16)
+#define FX_S_15_16 11516
+#define FX_SYSTEM FX_S_15_16
+
+typedef int fixed32;
+
+fixed32 fromFloat(float fa)
+{
+ return (fixed32) (fa * FX_2_PLUS_16) ;
+}
+
+float toFloat(fixed32 xa)
+{
+ return ((float) (xa)) * FX_2_MINUS_16 ;
+}
+
+fixed32 fxAdd(fixed32 a, fixed32 b)
+{
+ return fromFloat((toFloat(a) + toFloat(b)));
+}
+
+fixed32 fxAdd2(fixed32 a, fixed32 b)
+{
+ return a+b;
+}
+
+int main()
+{
+ long long i=0;
+ int ia, ib, ic, ic2;
+ float fa;
+ // fscanf(stdin, "%d %d", &ia, &ib);
+ for ( i = 0; i < (long long) 256*256*256*256; i+=(256*256))
+ {
+ ic = fxAdd(i, i);
+ ic2 = fxAdd2(i, i);
+ fprintf(stdout, "%f + %f : %f , %f diff = %d\n", toFloat(i), toFloat(i), toFloat(ic), toFloat(ic2), ic-ic2);
+ }
+ //fprintf(stdout, "%d + %d : %d\n", ia, ib , ic) ;
+ //fprintf(stdout, "%f + %f : %f\n", toFloat(ia), toFloat(ib), toFloat(ic));
+}
diff --git a/lec12/fx_head.h b/lec12/fx_head.h
new file mode 100644
index 0000000000000000000000000000000000000000..6d9bd26a9b71c0b8d449d09e20b903517d71bad4
--- /dev/null
+++ b/lec12/fx_head.h
@@ -0,0 +1,79 @@
+#pragma once
+
+// Fixed with signed long long
+#define FX_S28_35 ((1<<16) | (28<<8) | (35))
+#define FX_S29_34 ((1<<16) | (29<<8) | (34))
+#define FX_S30_33 ((1<<16) | (30<<8) | (33))
+#define FX_S31_32 ((1<<16) | (31<<8) | (32))
+#define FX_S32_31 ((1<<16) | (32<<8) | (31))
+#define FX_S33_30 ((1<<16) | (33<<8) | (30))
+#define FX_S34_29 ((1<<16) | (34<<8) | (29))
+#define FX_S35_28 ((1<<16) | (35<<8) | (28))
+// Fixed with unsigned long long
+#define FX_U29_35 ((0<<16) | (29<<8) | (35))
+#define FX_U30_34 ((0<<16) | (30<<8) | (34))
+#define FX_U31_33 ((0<<16) | (31<<8) | (33))
+#define FX_U32_32 ((0<<16) | (32<<8) | (32))
+#define FX_U33_31 ((0<<16) | (33<<8) | (31))
+#define FX_U34_30 ((0<<16) | (34<<8) | (30))
+#define FX_U35_29 ((0<<16) | (35<<8) | (29))
+#define FX_U36_28 ((0<<16) | (36<<8) | (28))
+// Fixed with signed int
+#define FX_S12_19 ((1<<16) | (12<<8) | (19))
+#define FX_S13_18 ((1<<16) | (13<<8) | (18))
+#define FX_S14_17 ((1<<16) | (14<<8) | (17))
+#define FX_S15_16 ((1<<16) | (15<<8) | (16))
+#define FX_S16_15 ((1<<16) | (16<<8) | (15))
+#define FX_S17_14 ((1<<16) | (17<<8) | (14))
+#define FX_S18_13 ((1<<16) | (18<<8) | (13))
+#define FX_S19_12 ((1<<16) | (19<<8) | (12))
+// Fixed with unsigned int
+#define FX_S13_19 ((0<<16) | (13<<8) | (19))
+#define FX_S14_18 ((0<<16) | (14<<8) | (18))
+#define FX_S15_17 ((0<<16) | (15<<8) | (17))
+#define FX_S16_16 ((0<<16) | (16<<8) | (16))
+#define FX_S17_15 ((0<<16) | (17<<8) | (15))
+#define FX_S18_14 ((0<<16) | (18<<8) | (14))
+#define FX_S19_13 ((0<<16) | (19<<8) | (13))
+#define FX_S20_12 ((0<<16) | (20<<8) | (12))
+// Fixed with signed short
+#define FX_S04_11 ((1<<16) | (4<<8) | (11))
+#define FX_S05_10 ((1<<16) | (5<<8) | (10))
+#define FX_S06_09 ((1<<16) | (6<<8) | (9))
+#define FX_S07_08 ((1<<16) | (7<<8) | (8))
+#define FX_S08_07 ((1<<16) | (8<<8) | (7))
+#define FX_S09_06 ((1<<16) | (9<<8) | (6))
+#define FX_S10_05 ((1<<16) | (10<<8) | (5))
+#define FX_S11_04 ((1<<16) | (11<<8) | (4))
+// Fixed with unsigned short
+#define FX_S05_11 ((0<<16) | (5<<8) | (11))
+#define FX_S06_10 ((0<<16) | (6<<8) | (10))
+#define FX_S07_09 ((0<<16) | (7<<8) | (9))
+#define FX_S08_08 ((0<<16) | (8<<8) | (8))
+#define FX_S09_07 ((0<<16) | (9<<8) | (7))
+#define FX_S10_06 ((0<<16) | (10<<8) | (6))
+#define FX_S11_05 ((0<<16) | (11<<8) | (5))
+#define FX_S12_04 ((0<<16) | (12<<8) | (4))
+// Fixed with signed char
+#define FX_S00_07 ((1<<16) | (0<<8) | (7))
+#define FX_S01_06 ((1<<16) | (1<<8) | (6))
+#define FX_S02_05 ((1<<16) | (2<<8) | (5))
+#define FX_S03_04 ((1<<16) | (3<<8) | (4))
+#define FX_S04_03 ((1<<16) | (4<<8) | (3))
+#define FX_S05_02 ((1<<16) | (5<<8) | (2))
+#define FX_S06_01 ((1<<16) | (6<<8) | (1))
+// #define FX_S07_00 ((1<<16) | (7<<8) | (0)) // It is same as unsigned char
+// Fixed with unsigned char
+#define FX_S00_08 ((0<<16) | (0<<8) | (8))
+#define FX_S01_07 ((0<<16) | (1<<8) | (7))
+#define FX_S02_06 ((0<<16) | (2<<8) | (6))
+#define FX_S03_05 ((0<<16) | (3<<8) | (5))
+#define FX_S04_04 ((0<<16) | (4<<8) | (4))
+#define FX_S05_03 ((0<<16) | (5<<8) | (3))
+#define FX_S06_02 ((0<<16) | (6<<8) | (2))
+#define FX_S07_01 ((0<<16) | (7<<8) | (1))
+// Operation Preference
+#define FX_OP_FLOAT 1
+#define FX_OP_PRECISION 2
+#define FX_OP_FAIR 3
+#define FX_OP_PERFORMANCE 4
diff --git a/lec12/fx_s15_16.c b/lec12/fx_s15_16.c
new file mode 100644
index 0000000000000000000000000000000000000000..3d638fcf64d9fde0a4715881995b2f514a06e299
--- /dev/null
+++ b/lec12/fx_s15_16.c
@@ -0,0 +1,50 @@
+#include "fx_head.h"
+#include "fx_s15_16.h"
+
+//extern fixed fxAdd_float(), fxAdd_precision(), fxAdd_fair(), fxAdd_performance();
+//extern fixed fxSub_float(), fxSub_precision(), fxSub_fair(), fxSub_performance();
+//extern fixed fxMul_float(), fxMul_precision(), fxMul_fair(), fxMul_performance();
+//extern fixed fxDiv_float(), fxDiv_precision(), fxDiv_fair(), fxDiv_performance();
+#define fxADD(a,b) ((a)+(b))
+
+fixed fxAdd_float(fixed a, fixed b)
+{
+ return fxADD(a,b);
+}
+fixed fxAdd_precision(fixed a, fixed b)
+{
+ return fxADD(a,b);
+}
+fixed fxAdd_fair(fixed a, fixed b)
+{
+ return fxADD(a,b);
+}
+fixed fxAdd_performance(fixed a, fixed b)
+{
+ return fxADD(a,b);
+}
+
+fixed fxMul_float(fixed a, fixed b)
+{
+ return fromFloat(toFloat(a) * toFloat(b));
+}
+
+fixed fxMul_precision(fixed a, fixed b)
+{
+ long long la=a, lb=b, lc;
+ lc = la*lb;
+ lc >>= FX_Q_NUM;
+ return (fixed) lc;
+}
+#define FX_Q_NUM_A (FX_Q_NUM-FX_Q_NUM/2)
+#define FX_Q_NUM_B (FX_Q_NUM/2)
+
+fixes fxMul_fair(fixed a, fixed b)
+{
+ return (a>>FX_Q_NUM_A)*(b>>FX_Q_NUM_B);
+}
+
+fixesd fxMul_performance(fixed a, fixed b)
+{
+ return (a>>FX_Q_NUM_A)*(b>>FX_Q_NUM_B);
+}
diff --git a/lec12/fx_s15_16.h b/lec12/fx_s15_16.h
new file mode 100644
index 0000000000000000000000000000000000000000..8e2178f66783ecbde24f8053010d7dd9640d8a9c
--- /dev/null
+++ b/lec12/fx_s15_16.h
@@ -0,0 +1,37 @@
+#include "fx_head.h"
+#include <math.h>
+
+#define FX_POINT FX_S15_16
+
+#define FX_Q_NUM (FX_POINT & 0xFF) // 16
+
+// If you want calculate with high precision set 64
+#define FX_SYSTEM_INTEGER 32 // or 32 or 16 or 8
+#define FX_SYSTEM_FLOAT 32 // or 32
+
+#define FX_DATA_TYPE signed int
+
+
+typedef int fx_s15_16;
+typedef fx_s15_16 fixed;
+
+#define fromDouble(d) ((fixed)((d)*DOUBLE_Q_VALUE))
+#define toDouble(d) ((double)(d)*DOUBLE_1_Q_VALUE)
+#define fromFloat(d) ((fixed)((d)*FLOAT_Q_VALUE))
+#define toFloat(d) ((float)(d)*FLOAT_1_Q_VALUE)
+
+// CONSTANTS
+#define FLOAT_Q_VALUE (float)(1<<FX_Q_NUM)
+#define DOUBLE_Q_VALUE (double)(1<<FX_Q_NUM)
+#define FLOAT_1_Q_VALUE (float)(1.0f/FLOAT_Q_VALUE)
+#define DOUBLE_1_Q_VALUE (double)(1.0f/DOUBLE_Q_VALUE)
+#define FX_PI fromDOUBLE(M_PI)
+
+// One of FX_OP_FLOAT, FX_OP_PRECISION, FX_OP_FAIR, FX_OP_PERFORMANCE
+#define FX_OP_PREFERENCE FX_OP_FLOAT
+
+extern fixed fxAdd_float(), fxAdd_precision(), fxAdd_fair(), fxAdd_performance();
+extern fixed fxSub_float(), fxSub_precision(), fxSub_fair(), fxSub_performance();
+extern fixed fxMul_float(), fxMul_precision(), fxMul_fair(), fxMul_performance();
+extern fixed fxDiv_float(), fxDiv_precision(), fxDiv_fair(), fxDiv_performance();
+
diff --git a/lec12/main b/lec12/main
new file mode 100755
index 0000000000000000000000000000000000000000..1ee60f2823b822890a34ff7b9f0015769c3623cd
Binary files /dev/null and b/lec12/main differ
diff --git a/lec12/main.c b/lec12/main.c
new file mode 100644
index 0000000000000000000000000000000000000000..015b4188500fdd6caad766f17fe84d176f70a79a
--- /dev/null
+++ b/lec12/main.c
@@ -0,0 +1,12 @@
+#include "fx_head.h"
+#include "fx_s15_16.h"
+#include <stdio.h>
+
+
+int main()
+{
+
+ printf("%f : %d\n",1.0, fromDouble(1.0));
+ printf("%f : %f\n",1.3*0.3, toFloat(fxMul_float(fromDouble(1.3),fromDouble(0.3)))) ;
+
+}
diff --git a/lec12/test2.c b/lec12/test2.c
new file mode 100644
index 0000000000000000000000000000000000000000..2c0cabd0594143ecd1e74aa5416652bc37d417f6
--- /dev/null
+++ b/lec12/test2.c
@@ -0,0 +1,46 @@
+#include <stdio.h>
+// #### #### #### #### . #### #### #### ####
+// S 15 . 16
+#define FX_Q_NUM 16
+#define FX_2_MINUS_16 1.52587890625e-05F
+#define FX_2_PLUS_16 (1<<16)
+#define FX_S_15_16 11516
+#define FX_SYSTEM FX_S_15_16
+
+typedef int fixed32;
+
+fixed32 fromFloat(float fa)
+{
+ return (fixed32) (fa * FX_2_PLUS_16) ;
+}
+
+float toFloat(fixed32 xa)
+{
+ return ((float) (xa)) * FX_2_MINUS_16 ;
+}
+
+fixed32 fxAdd(fixed32 a, fixed32 b)
+{
+ return fromFloat((toFloat(a) + toFloat(b)));
+}
+
+fixed32 fxAdd2(fixed32 a, fixed32 b)
+{
+ return a+b;
+}
+
+int main()
+{
+ long long i=0;
+ int ia, ib, ic, ic2;
+ float fa;
+ // fscanf(stdin, "%d %d", &ia, &ib);
+ for ( i = 0; i < (long long) 256*256*256*256; i+=(256*256))
+ {
+ ic = fxAdd(i, i);
+ ic2 = fxAdd2(i, i);
+ fprintf(stdout, "%f + %f : %f , %f diff = %d\n", toFloat(i), toFloat(i), toFloat(ic), toFloat(ic2), ic-ic2);
+ }
+ //fprintf(stdout, "%d + %d : %d\n", ia, ib , ic) ;
+ //fprintf(stdout, "%f + %f : %f\n", toFloat(ia), toFloat(ib), toFloat(ic));
+}