diff options
Diffstat (limited to 'vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext')
10 files changed, 12361 insertions, 0 deletions
diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/Makefile b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/Makefile new file mode 100644 index 0000000..0c8edf5 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/Makefile @@ -0,0 +1,274 @@ + +SHELL = /bin/sh + +# V=0 quiet, V=1 verbose. other values don't work. +V = 0 +V0 = $(V:0=) +Q1 = $(V:1=) +Q = $(Q1:0=@) +ECHO1 = $(V:1=@ :) +ECHO = $(ECHO1:0=@ echo) +NULLCMD = : + +#### Start of system configuration section. #### + +srcdir = . +topdir = /Users/ben/.rubies/ruby-3.4.1/include/ruby-3.4.0 +hdrdir = $(topdir) +arch_hdrdir = /Users/ben/.rubies/ruby-3.4.1/include/ruby-3.4.0/arm64-darwin24 +PATH_SEPARATOR = : +VPATH = $(srcdir):$(arch_hdrdir)/ruby:$(hdrdir)/ruby +prefix = $(DESTDIR)/Users/ben/.rubies/ruby-3.4.1 +rubysitearchprefix = $(rubylibprefix)/$(sitearch) +rubyarchprefix = $(rubylibprefix)/$(arch) +rubylibprefix = $(libdir)/$(RUBY_BASE_NAME) +exec_prefix = $(prefix) +vendorarchhdrdir = $(vendorhdrdir)/$(sitearch) +sitearchhdrdir = $(sitehdrdir)/$(sitearch) +rubyarchhdrdir = $(rubyhdrdir)/$(arch) +vendorhdrdir = $(rubyhdrdir)/vendor_ruby +sitehdrdir = $(rubyhdrdir)/site_ruby +rubyhdrdir = $(includedir)/$(RUBY_VERSION_NAME) +vendorarchdir = $(vendorlibdir)/$(sitearch) +vendorlibdir = $(vendordir)/$(ruby_version) +vendordir = $(rubylibprefix)/vendor_ruby +sitearchdir = $(sitelibdir)/$(sitearch) +sitelibdir = $(sitedir)/$(ruby_version) +sitedir = $(rubylibprefix)/site_ruby +rubyarchdir = $(rubylibdir)/$(arch) +rubylibdir = $(rubylibprefix)/$(ruby_version) +sitearchincludedir = $(includedir)/$(sitearch) +archincludedir = $(includedir)/$(arch) +sitearchlibdir = $(libdir)/$(sitearch) +archlibdir = $(libdir)/$(arch) +ridir = $(datarootdir)/$(RI_BASE_NAME) +modular_gc_dir = $(DESTDIR) +mandir = $(datarootdir)/man +localedir = $(datarootdir)/locale +libdir = $(exec_prefix)/lib +psdir = $(docdir) +pdfdir = $(docdir) +dvidir = $(docdir) +htmldir = $(docdir) +infodir = $(datarootdir)/info +docdir = $(datarootdir)/doc/$(PACKAGE) +oldincludedir = $(DESTDIR)/usr/include +includedir = $(SDKROOT)$(prefix)/include +runstatedir = $(localstatedir)/run +localstatedir = $(prefix)/var +sharedstatedir = $(prefix)/com +sysconfdir = $(prefix)/etc +datadir = $(datarootdir) +datarootdir = $(prefix)/share +libexecdir = $(exec_prefix)/libexec +sbindir = $(exec_prefix)/sbin +bindir = $(exec_prefix)/bin +archdir = $(rubyarchdir) + + +CC_WRAPPER = +CC = clang +CXX = clang++ -std=gnu++11 +LIBRUBY = $(LIBRUBY_A) +LIBRUBY_A = lib$(RUBY_SO_NAME)-static.a +LIBRUBYARG_SHARED = +LIBRUBYARG_STATIC = -l$(RUBY_SO_NAME)-static -framework CoreFoundation $(MAINLIBS) +empty = +OUTFLAG = -o $(empty) +COUTFLAG = -o $(empty) +CSRCFLAG = $(empty) + +RUBY_EXTCONF_H = +cflags = $(hardenflags) -fdeclspec $(optflags) $(debugflags) $(warnflags) +cxxflags = +optflags = -O3 -fno-fast-math +debugflags = -ggdb3 +warnflags = -Wall -Wextra -Wextra-tokens -Wdeprecated-declarations -Wdivision-by-zero -Wdiv-by-zero -Wimplicit-function-declaration -Wimplicit-int -Wpointer-arith -Wshorten-64-to-32 -Wwrite-strings -Wold-style-definition -Wmissing-noreturn -Wno-cast-function-type -Wno-constant-logical-operand -Wno-long-long -Wno-missing-field-initializers -Wno-overlength-strings -Wno-parentheses-equality -Wno-self-assign -Wno-tautological-compare -Wno-unused-parameter -Wno-unused-value -Wunused-variable -Wmisleading-indentation -Wundef +cppflags = +CCDLFLAGS = -fno-common +CFLAGS = $(CCDLFLAGS) $(cflags) -pipe $(ARCH_FLAG) +INCFLAGS = -I. -I$(arch_hdrdir) -I$(hdrdir)/ruby/backward -I$(hdrdir) -I$(srcdir) +DEFS = +CPPFLAGS = -DHAVE_BUILTIN___BUILTIN_CLZ -DHAVE_BUILTIN___BUILTIN_CLZL -DHAVE_BUILTIN___BUILTIN_CLZLL -DHAVE_FLOAT_H -DHAVE_MATH_H -DHAVE_STDBOOL_H -DHAVE_STDLIB_H -DHAVE_LABS -DHAVE_LLABS -DHAVE_RUBY_ATOMIC_H -DHAVE_RUBY_INTERNAL_HAS_BUILTIN_H -DHAVE_RUBY_INTERNAL_STATIC_ASSERT_H -DHAVE_RB_RATIONAL_NUM -DHAVE_RB_RATIONAL_DEN -DHAVE_RB_COMPLEX_REAL -DHAVE_RB_COMPLEX_IMAG -DHAVE_RB_OPTS_EXCEPTION_P -DHAVE_RB_CATEGORY_WARN -DHAVE_CONST_RB_WARN_CATEGORY_DEPRECATED -I/opt/homebrew/opt/readline/include -I/opt/homebrew/opt/libyaml/include -I/opt/homebrew/opt/gdbm/include -D_XOPEN_SOURCE -D_DARWIN_C_SOURCE -D_DARWIN_UNLIMITED_SELECT -D_REENTRANT $(DEFS) $(cppflags) +CXXFLAGS = $(CCDLFLAGS) -fdeclspec $(ARCH_FLAG) +ldflags = -L. -fstack-protector-strong -L/opt/homebrew/Cellar/readline/8.2.13/lib -L/opt/homebrew/Cellar/libyaml/0.2.5/lib -L/opt/homebrew/Cellar/gdbm/1.24/lib +dldflags = -L/opt/homebrew/Cellar/readline/8.2.13/lib -L/opt/homebrew/Cellar/libyaml/0.2.5/lib -L/opt/homebrew/Cellar/gdbm/1.24/lib -Wl,-undefined,dynamic_lookup -bundle_loader '$(BUILTRUBY)' +ARCH_FLAG = -arch arm64 +DLDFLAGS = $(ldflags) $(dldflags) $(ARCH_FLAG) +LDSHARED = $(CC) -dynamic -bundle +LDSHAREDXX = $(CXX) -dynamic -bundle +POSTLINK = dsymutil $@ 2>/dev/null; { test -z '$(RUBY_CODESIGN)' || codesign -s '$(RUBY_CODESIGN)' $@; } +AR = ar +LD = ld +EXEEXT = + +RUBY_INSTALL_NAME = $(RUBY_BASE_NAME) +RUBY_SO_NAME = ruby.3.4 +RUBYW_INSTALL_NAME = +RUBY_VERSION_NAME = $(RUBY_BASE_NAME)-$(ruby_version) +RUBYW_BASE_NAME = rubyw +RUBY_BASE_NAME = ruby + +arch = arm64-darwin24 +sitearch = $(arch) +ruby_version = 3.4.0 +ruby = $(bindir)/$(RUBY_BASE_NAME) +RUBY = $(ruby) +BUILTRUBY = $(bindir)/$(RUBY_BASE_NAME) +ruby_headers = $(hdrdir)/ruby.h $(hdrdir)/ruby/backward.h $(hdrdir)/ruby/ruby.h $(hdrdir)/ruby/defines.h $(hdrdir)/ruby/missing.h $(hdrdir)/ruby/intern.h $(hdrdir)/ruby/st.h $(hdrdir)/ruby/subst.h $(arch_hdrdir)/ruby/config.h + +RM = rm -f +RM_RF = rm -fr +RMDIRS = rmdir -p +MAKEDIRS = mkdir -p +INSTALL = /usr/bin/install -c +INSTALL_PROG = $(INSTALL) -m 0755 +INSTALL_DATA = $(INSTALL) -m 644 +COPY = cp +TOUCH = exit > + +#### End of system configuration section. #### + +preload = +libpath = . $(libdir) /opt/homebrew/opt/readline/lib /opt/homebrew/opt/libyaml/lib /opt/homebrew/opt/gdbm/lib +LIBPATH = -L. -L$(libdir) -L/opt/homebrew/opt/readline/lib -L/opt/homebrew/opt/libyaml/lib -L/opt/homebrew/opt/gdbm/lib +DEFFILE = + +CLEANFILES = mkmf.log +DISTCLEANFILES = +DISTCLEANDIRS = + +extout = +extout_prefix = +target_prefix = +LOCAL_LIBS = +LIBS = -lpthread +ORIG_SRCS = bigdecimal.c missing.c +SRCS = $(ORIG_SRCS) +OBJS = bigdecimal.o missing.o +HDRS = $(srcdir)/bigdecimal.h $(srcdir)/bits.h $(srcdir)/feature.h $(srcdir)/missing.h $(srcdir)/static_assert.h +LOCAL_HDRS = +TARGET = bigdecimal +TARGET_NAME = bigdecimal +TARGET_ENTRY = Init_$(TARGET_NAME) +DLLIB = $(TARGET).bundle +EXTSTATIC = +STATIC_LIB = + +TIMESTAMP_DIR = . +BINDIR = $(bindir) +RUBYCOMMONDIR = $(sitedir)$(target_prefix) +RUBYLIBDIR = $(sitelibdir)$(target_prefix) +RUBYARCHDIR = $(sitearchdir)$(target_prefix) +HDRDIR = $(sitehdrdir)$(target_prefix) +ARCHHDRDIR = $(sitearchhdrdir)$(target_prefix) +TARGET_SO_DIR = +TARGET_SO = $(TARGET_SO_DIR)$(DLLIB) +CLEANLIBS = $(TARGET_SO) $(TARGET_SO:=.dSYM) +CLEANOBJS = $(OBJS) *.bak +TARGET_SO_DIR_TIMESTAMP = $(TIMESTAMP_DIR)/.sitearchdir.time +BIGDECIMAL_RB = $(srcdir)/../../lib/bigdecimal.rb + +all: $(DLLIB) +static: $(STATIC_LIB) +.PHONY: all install static install-so install-rb +.PHONY: clean clean-so clean-static clean-rb + +clean-static:: +clean-rb-default:: +clean-rb:: +clean-so:: +clean: clean-so clean-static clean-rb-default clean-rb + -$(Q)$(RM_RF) $(CLEANLIBS) $(CLEANOBJS) $(CLEANFILES) .*.time + +distclean-rb-default:: +distclean-rb:: +distclean-so:: +distclean-static:: +distclean: clean distclean-so distclean-static distclean-rb-default distclean-rb + -$(Q)$(RM) Makefile $(RUBY_EXTCONF_H) conftest.* mkmf.log + -$(Q)$(RM) core ruby$(EXEEXT) *~ $(DISTCLEANFILES) + -$(Q)$(RMDIRS) $(DISTCLEANDIRS) 2> /dev/null || true + +realclean: distclean +install: install-so install-rb + +install-so: $(DLLIB) $(TARGET_SO_DIR_TIMESTAMP) + $(INSTALL_PROG) $(DLLIB) $(RUBYARCHDIR) +clean-static:: + -$(Q)$(RM) $(STATIC_LIB) +install-rb: pre-install-rb do-install-rb install-rb-default +install-rb-default: pre-install-rb-default do-install-rb-default +pre-install-rb: Makefile +pre-install-rb-default: Makefile +do-install-rb: +do-install-rb-default: +pre-install-rb-default: + @$(NULLCMD) +$(TARGET_SO_DIR_TIMESTAMP): + $(Q) $(MAKEDIRS) $(@D) $(RUBYARCHDIR) + $(Q) $(TOUCH) $@ + +site-install: site-install-so site-install-rb +site-install-so: install-so +site-install-rb: install-rb + +.SUFFIXES: .c .m .cc .mm .cxx .cpp .o .S + +.cc.o: + $(ECHO) compiling $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -c $(CSRCFLAG)$< + +.cc.S: + $(ECHO) translating $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -S $(CSRCFLAG)$< + +.mm.o: + $(ECHO) compiling $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -c $(CSRCFLAG)$< + +.mm.S: + $(ECHO) translating $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -S $(CSRCFLAG)$< + +.cxx.o: + $(ECHO) compiling $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -c $(CSRCFLAG)$< + +.cxx.S: + $(ECHO) translating $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -S $(CSRCFLAG)$< + +.cpp.o: + $(ECHO) compiling $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -c $(CSRCFLAG)$< + +.cpp.S: + $(ECHO) translating $(<) + $(Q) $(CXX) $(INCFLAGS) $(CPPFLAGS) $(CXXFLAGS) $(COUTFLAG)$@ -S $(CSRCFLAG)$< + +.c.o: + $(ECHO) compiling $(<) + $(Q) $(CC) $(INCFLAGS) $(CPPFLAGS) $(CFLAGS) $(COUTFLAG)$@ -c $(CSRCFLAG)$< + +.c.S: + $(ECHO) translating $(<) + $(Q) $(CC) $(INCFLAGS) $(CPPFLAGS) $(CFLAGS) $(COUTFLAG)$@ -S $(CSRCFLAG)$< + +.m.o: + $(ECHO) compiling $(<) + $(Q) $(CC) $(INCFLAGS) $(CPPFLAGS) $(CFLAGS) $(COUTFLAG)$@ -c $(CSRCFLAG)$< + +.m.S: + $(ECHO) translating $(<) + $(Q) $(CC) $(INCFLAGS) $(CPPFLAGS) $(CFLAGS) $(COUTFLAG)$@ -S $(CSRCFLAG)$< + +$(TARGET_SO): $(OBJS) Makefile + $(ECHO) linking shared-object $(DLLIB) + -$(Q)$(RM) $(@) + $(Q) $(LDSHARED) -o $@ $(OBJS) $(LIBPATH) $(DLDFLAGS) $(LOCAL_LIBS) $(LIBS) + $(Q) $(POSTLINK) + + + +$(OBJS): $(HDRS) $(ruby_headers) diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bigdecimal.c b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bigdecimal.c new file mode 100644 index 0000000..486aee8 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bigdecimal.c @@ -0,0 +1,7761 @@ +/* + * + * Ruby BigDecimal(Variable decimal precision) extension library. + * + * Copyright(C) 2002 by Shigeo Kobayashi(shigeo@tinyforest.gr.jp) + * + */ + +/* #define BIGDECIMAL_DEBUG 1 */ + +#include "bigdecimal.h" +#include "ruby/util.h" + +#ifndef BIGDECIMAL_DEBUG +# undef NDEBUG +# define NDEBUG +#endif +#include <assert.h> + +#include <ctype.h> +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <errno.h> +#include <math.h> + +#ifdef HAVE_IEEEFP_H +#include <ieeefp.h> +#endif + +#include "bits.h" +#include "static_assert.h" + +#define BIGDECIMAL_VERSION "3.2.2" + +/* #define ENABLE_NUMERIC_STRING */ + +#define SIGNED_VALUE_MAX INTPTR_MAX +#define SIGNED_VALUE_MIN INTPTR_MIN +#define MUL_OVERFLOW_SIGNED_VALUE_P(a, b) MUL_OVERFLOW_SIGNED_INTEGER_P(a, b, SIGNED_VALUE_MIN, SIGNED_VALUE_MAX) + +VALUE rb_cBigDecimal; +VALUE rb_mBigMath; + +static ID id_BigDecimal_exception_mode; +static ID id_BigDecimal_rounding_mode; +static ID id_BigDecimal_precision_limit; + +static ID id_up; +static ID id_down; +static ID id_truncate; +static ID id_half_up; +static ID id_default; +static ID id_half_down; +static ID id_half_even; +static ID id_banker; +static ID id_ceiling; +static ID id_ceil; +static ID id_floor; +static ID id_to_r; +static ID id_eq; +static ID id_half; + +#define RBD_NUM_ROUNDING_MODES 11 + +static struct { + ID id; + uint8_t mode; +} rbd_rounding_modes[RBD_NUM_ROUNDING_MODES]; + +/* MACRO's to guard objects from GC by keeping them in stack */ +#ifdef RBIMPL_ATTR_MAYBE_UNUSED +#define ENTER(n) RBIMPL_ATTR_MAYBE_UNUSED() volatile VALUE vStack[n];int iStack=0 +#else +#define ENTER(n) volatile VALUE RB_UNUSED_VAR(vStack[n]);int iStack=0 +#endif +#define PUSH(x) (vStack[iStack++] = (VALUE)(x)) +#define SAVE(p) PUSH((p)->obj) +#define GUARD_OBJ(p,y) ((p)=(y), SAVE(p)) + +#define BASE_FIG BIGDECIMAL_COMPONENT_FIGURES +#define BASE BIGDECIMAL_BASE + +#define HALF_BASE (BASE/2) +#define BASE1 (BASE/10) + +#define LOG10_2 0.3010299956639812 + +#ifndef RRATIONAL_ZERO_P +# define RRATIONAL_ZERO_P(x) (FIXNUM_P(rb_rational_num(x)) && \ + FIX2LONG(rb_rational_num(x)) == 0) +#endif + +#ifndef RRATIONAL_NEGATIVE_P +# define RRATIONAL_NEGATIVE_P(x) RTEST(rb_funcall((x), '<', 1, INT2FIX(0))) +#endif + +#ifndef DECIMAL_SIZE_OF_BITS +#define DECIMAL_SIZE_OF_BITS(n) (((n) * 3010 + 9998) / 9999) +/* an approximation of ceil(n * log10(2)), upto 65536 at least */ +#endif + +#ifdef PRIsVALUE +# define RB_OBJ_CLASSNAME(obj) rb_obj_class(obj) +# define RB_OBJ_STRING(obj) (obj) +#else +# define PRIsVALUE "s" +# define RB_OBJ_CLASSNAME(obj) rb_obj_classname(obj) +# define RB_OBJ_STRING(obj) StringValueCStr(obj) +#endif + +#ifndef MAYBE_UNUSED +# define MAYBE_UNUSED(x) x +#endif + +#define BIGDECIMAL_POSITIVE_P(bd) ((bd)->sign > 0) +#define BIGDECIMAL_NEGATIVE_P(bd) ((bd)->sign < 0) + +/* + * ================== Memory allocation ============================ + */ + +#ifdef BIGDECIMAL_DEBUG +static size_t rbd_allocation_count = 0; /* Memory allocation counter */ +static inline void +atomic_allocation_count_inc(void) +{ + RUBY_ATOMIC_SIZE_INC(rbd_allocation_count); +} +static inline void +atomic_allocation_count_dec_nounderflow(void) +{ + if (rbd_allocation_count == 0) return; + RUBY_ATOMIC_SIZE_DEC(rbd_allocation_count); +} +static void +check_allocation_count_nonzero(void) +{ + if (rbd_allocation_count != 0) return; + rb_bug("[bigdecimal][rbd_free_struct] Too many memory free calls"); +} +#else +# define atomic_allocation_count_inc() /* nothing */ +# define atomic_allocation_count_dec_nounderflow() /* nothing */ +# define check_allocation_count_nonzero() /* nothing */ +#endif /* BIGDECIMAL_DEBUG */ + +PUREFUNC(static inline size_t rbd_struct_size(size_t const)); + +static inline size_t +rbd_struct_size(size_t const internal_digits) +{ + size_t const frac_len = (internal_digits == 0) ? 1 : internal_digits; + return offsetof(Real, frac) + frac_len * sizeof(DECDIG); +} + +static inline Real * +rbd_allocate_struct(size_t const internal_digits) +{ + size_t const size = rbd_struct_size(internal_digits); + Real *real = ruby_xcalloc(1, size); + atomic_allocation_count_inc(); + real->MaxPrec = internal_digits; + return real; +} + +static size_t +rbd_calculate_internal_digits(size_t const digits, bool limit_precision) +{ + size_t const len = roomof(digits, BASE_FIG); + if (limit_precision) { + size_t const prec_limit = VpGetPrecLimit(); + if (prec_limit > 0) { + /* NOTE: 2 more digits for rounding and division */ + size_t const max_len = roomof(prec_limit, BASE_FIG) + 2; + if (len > max_len) + return max_len; + } + } + + return len; +} + +static inline Real * +rbd_allocate_struct_decimal_digits(size_t const decimal_digits, bool limit_precision) +{ + size_t const internal_digits = rbd_calculate_internal_digits(decimal_digits, limit_precision); + return rbd_allocate_struct(internal_digits); +} + +static VALUE BigDecimal_wrap_struct(VALUE obj, Real *vp); + +static Real * +rbd_reallocate_struct(Real *real, size_t const internal_digits) +{ + size_t const size = rbd_struct_size(internal_digits); + VALUE obj = real ? real->obj : 0; + Real *new_real = (Real *)ruby_xrealloc(real, size); + new_real->MaxPrec = internal_digits; + if (obj) { + new_real->obj = 0; + BigDecimal_wrap_struct(obj, new_real); + } + return new_real; +} + +static void +rbd_free_struct(Real *real) +{ + if (real != NULL) { + check_allocation_count_nonzero(); + ruby_xfree(real); + atomic_allocation_count_dec_nounderflow(); + } +} + +#define NewZero rbd_allocate_struct_zero +static Real * +rbd_allocate_struct_zero(int sign, size_t const digits, bool limit_precision) +{ + Real *real = rbd_allocate_struct_decimal_digits(digits, limit_precision); + VpSetZero(real, sign); + return real; +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_zero_limited(int sign, size_t const digits)); +#define NewZeroLimited rbd_allocate_struct_zero_limited +static inline Real * +rbd_allocate_struct_zero_limited(int sign, size_t const digits) +{ + return rbd_allocate_struct_zero(sign, digits, true); +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_zero_nolimit(int sign, size_t const digits)); +#define NewZeroNolimit rbd_allocate_struct_zero_nolimit +static inline Real * +rbd_allocate_struct_zero_nolimit(int sign, size_t const digits) +{ + return rbd_allocate_struct_zero(sign, digits, false); +} + +#define NewOne rbd_allocate_struct_one +static Real * +rbd_allocate_struct_one(int sign, size_t const digits, bool limit_precision) +{ + Real *real = rbd_allocate_struct_decimal_digits(digits, limit_precision); + VpSetOne(real); + if (sign < 0) + VpSetSign(real, VP_SIGN_NEGATIVE_FINITE); + return real; +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_one_limited(int sign, size_t const digits)); +#define NewOneLimited rbd_allocate_struct_one_limited +static inline Real * +rbd_allocate_struct_one_limited(int sign, size_t const digits) +{ + return rbd_allocate_struct_one(sign, digits, true); +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_one_nolimit(int sign, size_t const digits)); +#define NewOneNolimit rbd_allocate_struct_one_nolimit +static inline Real * +rbd_allocate_struct_one_nolimit(int sign, size_t const digits) +{ + return rbd_allocate_struct_one(sign, digits, false); +} + +/* + * ================== Ruby Interface part ========================== + */ +#define DoSomeOne(x,y,f) rb_num_coerce_bin(x,y,f) + +/* + * VP routines used in BigDecimal part + */ +static unsigned short VpGetException(void); +static void VpSetException(unsigned short f); +static void VpCheckException(Real *p, bool always); +static VALUE VpCheckGetValue(Real *p); +static void VpInternalRound(Real *c, size_t ixDigit, DECDIG vPrev, DECDIG v); +static int VpLimitRound(Real *c, size_t ixDigit); +static Real *VpCopy(Real *pv, Real const* const x); +static int VPrint(FILE *fp,const char *cntl_chr,Real *a); + +/* + * **** BigDecimal part **** + */ + +static VALUE BigDecimal_nan(void); +static VALUE BigDecimal_positive_infinity(void); +static VALUE BigDecimal_negative_infinity(void); +static VALUE BigDecimal_positive_zero(void); +static VALUE BigDecimal_negative_zero(void); + +static void +BigDecimal_delete(void *pv) +{ + rbd_free_struct(pv); +} + +static size_t +BigDecimal_memsize(const void *ptr) +{ + const Real *pv = ptr; + return (sizeof(*pv) + pv->MaxPrec * sizeof(DECDIG)); +} + +#ifndef HAVE_RB_EXT_RACTOR_SAFE +# undef RUBY_TYPED_FROZEN_SHAREABLE +# define RUBY_TYPED_FROZEN_SHAREABLE 0 +#endif + +static const rb_data_type_t BigDecimal_data_type = { + "BigDecimal", + { 0, BigDecimal_delete, BigDecimal_memsize, }, +#ifdef RUBY_TYPED_FREE_IMMEDIATELY + 0, 0, RUBY_TYPED_FREE_IMMEDIATELY | RUBY_TYPED_FROZEN_SHAREABLE | RUBY_TYPED_WB_PROTECTED +#endif +}; + +static Real * +rbd_allocate_struct_zero_wrap_klass(VALUE klass, int sign, size_t const digits, bool limit_precision) +{ + Real *real = rbd_allocate_struct_zero(sign, digits, limit_precision); + if (real != NULL) { + VALUE obj = TypedData_Wrap_Struct(klass, &BigDecimal_data_type, 0); + BigDecimal_wrap_struct(obj, real); + } + return real; +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_zero_limited_wrap(int sign, size_t const digits)); +#define NewZeroWrapLimited rbd_allocate_struct_zero_limited_wrap +static inline Real * +rbd_allocate_struct_zero_limited_wrap(int sign, size_t const digits) +{ + return rbd_allocate_struct_zero_wrap_klass(rb_cBigDecimal, sign, digits, true); +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_zero_nolimit_wrap(int sign, size_t const digits)); +#define NewZeroWrapNolimit rbd_allocate_struct_zero_nolimit_wrap +static inline Real * +rbd_allocate_struct_zero_nolimit_wrap(int sign, size_t const digits) +{ + return rbd_allocate_struct_zero_wrap_klass(rb_cBigDecimal, sign, digits, false); +} + +static Real * +rbd_allocate_struct_one_wrap_klass(VALUE klass, int sign, size_t const digits, bool limit_precision) +{ + Real *real = rbd_allocate_struct_one(sign, digits, limit_precision); + if (real != NULL) { + VALUE obj = TypedData_Wrap_Struct(klass, &BigDecimal_data_type, 0); + BigDecimal_wrap_struct(obj, real); + } + return real; +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_one_limited_wrap(int sign, size_t const digits)); +#define NewOneWrapLimited rbd_allocate_struct_one_limited_wrap +static inline Real * +rbd_allocate_struct_one_limited_wrap(int sign, size_t const digits) +{ + return rbd_allocate_struct_one_wrap_klass(rb_cBigDecimal, sign, digits, true); +} + +MAYBE_UNUSED(static inline Real * rbd_allocate_struct_one_nolimit_wrap(int sign, size_t const digits)); +#define NewOneWrapNolimit rbd_allocate_struct_one_nolimit_wrap +static inline Real * +rbd_allocate_struct_one_nolimit_wrap(int sign, size_t const digits) +{ + return rbd_allocate_struct_one_wrap_klass(rb_cBigDecimal, sign, digits, false); +} + +static inline int +is_kind_of_BigDecimal(VALUE const v) +{ + return rb_typeddata_is_kind_of(v, &BigDecimal_data_type); +} + +NORETURN(static void cannot_be_coerced_into_BigDecimal(VALUE, VALUE)); + +static void +cannot_be_coerced_into_BigDecimal(VALUE exc_class, VALUE v) +{ + VALUE str; + + if (rb_special_const_p(v)) { + str = rb_inspect(v); + } + else { + str = rb_class_name(rb_obj_class(v)); + } + + str = rb_str_cat2(rb_str_dup(str), " can't be coerced into BigDecimal"); + rb_exc_raise(rb_exc_new3(exc_class, str)); +} + +static inline VALUE BigDecimal_div2(VALUE, VALUE, VALUE); +static VALUE rb_inum_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception); +static VALUE rb_float_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception); +static VALUE rb_rational_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception); +static VALUE rb_cstr_convert_to_BigDecimal(const char *c_str, size_t digs, int raise_exception); +static VALUE rb_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception); + +static Real* +GetVpValueWithPrec(VALUE v, long prec, int must) +{ + const size_t digs = prec < 0 ? SIZE_MAX : (size_t)prec; + + switch(TYPE(v)) { + case T_FLOAT: + v = rb_float_convert_to_BigDecimal(v, digs, must); + break; + + case T_RATIONAL: + v = rb_rational_convert_to_BigDecimal(v, digs, must); + break; + + case T_DATA: + if (!is_kind_of_BigDecimal(v)) { + goto SomeOneMayDoIt; + } + break; + + case T_FIXNUM: { + char szD[128]; + snprintf(szD, 128, "%ld", FIX2LONG(v)); + v = rb_cstr_convert_to_BigDecimal(szD, VpBaseFig() * 2 + 1, must); + break; + } + +#ifdef ENABLE_NUMERIC_STRING + case T_STRING: { + const char *c_str = StringValueCStr(v); + v = rb_cstr_convert_to_BigDecimal(c_str, RSTRING_LEN(v) + VpBaseFig() + 1, must); + break; + } +#endif /* ENABLE_NUMERIC_STRING */ + + case T_BIGNUM: { + VALUE bg = rb_big2str(v, 10); + v = rb_cstr_convert_to_BigDecimal(RSTRING_PTR(bg), RSTRING_LEN(bg) + VpBaseFig() + 1, must); + RB_GC_GUARD(bg); + break; + } + + default: + goto SomeOneMayDoIt; + } + + Real *vp; + TypedData_Get_Struct(v, Real, &BigDecimal_data_type, vp); + return vp; + +SomeOneMayDoIt: + if (must) { + cannot_be_coerced_into_BigDecimal(rb_eTypeError, v); + } + return NULL; /* NULL means to coerce */ +} + +static inline Real* +GetVpValue(VALUE v, int must) +{ + return GetVpValueWithPrec(v, -1, must); +} + +/* call-seq: + * BigDecimal.double_fig -> integer + * + * Returns the number of digits a Float object is allowed to have; + * the result is system-dependent: + * + * BigDecimal.double_fig # => 16 + * + */ +static inline VALUE +BigDecimal_double_fig(VALUE self) +{ + return INT2FIX(VpDblFig()); +} + +/* call-seq: + * precs -> array + * + * Returns an Array of two Integer values that represent platform-dependent + * internal storage properties. + * + * This method is deprecated and will be removed in the future. + * Instead, use BigDecimal#n_significant_digits for obtaining the number of + * significant digits in scientific notation, and BigDecimal#precision for + * obtaining the number of digits in decimal notation. + * + */ + +static VALUE +BigDecimal_prec(VALUE self) +{ + ENTER(1); + Real *p; + VALUE obj; + + rb_category_warn(RB_WARN_CATEGORY_DEPRECATED, + "BigDecimal#precs is deprecated and will be removed in the future; " + "use BigDecimal#precision instead."); + + GUARD_OBJ(p, GetVpValue(self, 1)); + obj = rb_assoc_new(SIZET2NUM(p->Prec*VpBaseFig()), + SIZET2NUM(p->MaxPrec*VpBaseFig())); + return obj; +} + +static void +VpCountPrecisionAndScale(Real *p, ssize_t *out_precision, ssize_t *out_scale) +{ + if (out_precision == NULL && out_scale == NULL) + return; + if (VpIsZero(p) || !VpIsDef(p)) { + zero: + if (out_precision) *out_precision = 0; + if (out_scale) *out_scale = 0; + return; + } + + DECDIG x; + + ssize_t n = p->Prec; /* The length of frac without zeros. */ + while (n > 0 && p->frac[n-1] == 0) --n; + if (n == 0) goto zero; + + int nlz = BASE_FIG; + for (x = p->frac[0]; x > 0; x /= 10) --nlz; + + int ntz = 0; + for (x = p->frac[n-1]; x > 0 && x % 10 == 0; x /= 10) ++ntz; + + /* + * Calculate the precision and the scale + * ------------------------------------- + * + * The most significant digit is frac[0], and the least significant digit + * is frac[Prec-1]. When the exponent is zero, the decimal point is + * located just before frac[0]. + * + * When the exponent is negative, the decimal point moves to leftward. + * In this case, the precision can be calculated by + * + * precision = BASE_FIG * (-exponent + n) - ntz, + * + * and the scale is the same as precision. + * + * 0 . 0000 0000 | frac[0] ... frac[n-1] | + * |<----------| exponent == -2 | + * |---------------------------------->| precision + * |---------------------------------->| scale + * + * + * Conversely, when the exponent is positive, the decimal point moves to + * rightward. In this case, the scale equals to + * + * BASE_FIG * (n - exponent) - ntz. + * + * the precision equals to + * + * scale + BASE_FIG * exponent - nlz. + * + * | frac[0] frac[1] . frac[2] ... frac[n-1] | + * |---------------->| exponent == 2 | + * | |---------------------->| scale + * |---------------------------------------->| precision + */ + + ssize_t ex = p->exponent; + + /* Count the number of decimal digits before frac[1]. */ + ssize_t n_digits_head = BASE_FIG; + if (ex < 0) { + n_digits_head += (-ex) * BASE_FIG; /* The number of leading zeros before frac[0]. */ + ex = 0; + } + else if (ex > 0) { + /* Count the number of decimal digits without the leading zeros in + * the most significant digit in the integral part. + */ + n_digits_head -= nlz; /* Make the number of digits */ + } + + if (out_precision) { + ssize_t precision = n_digits_head; + + /* Count the number of decimal digits after frac[0]. */ + if (ex > (ssize_t)n) { + /* In this case the number is an integer with some trailing zeros. */ + precision += (ex - 1) * BASE_FIG; + } + else if (n > 0) { + precision += (n - 1) * BASE_FIG; + + if (ex < (ssize_t)n) { + precision -= ntz; + } + } + + *out_precision = precision; + } + + if (out_scale) { + ssize_t scale = 0; + + if (p->exponent < 0) { + scale = n_digits_head + (n - 1) * BASE_FIG - ntz; + } + else if (n > p->exponent) { + scale = (n - p->exponent) * BASE_FIG - ntz; + } + + *out_scale = scale; + } +} + +static void +BigDecimal_count_precision_and_scale(VALUE self, ssize_t *out_precision, ssize_t *out_scale) +{ + ENTER(1); + Real *p; + GUARD_OBJ(p, GetVpValue(self, 1)); + VpCountPrecisionAndScale(p, out_precision, out_scale); +} + +/* + * call-seq: + * precision -> integer + * + * Returns the number of decimal digits in +self+: + * + * BigDecimal("0").precision # => 0 + * BigDecimal("1").precision # => 1 + * BigDecimal("1.1").precision # => 2 + * BigDecimal("3.1415").precision # => 5 + * BigDecimal("-1e20").precision # => 21 + * BigDecimal("1e-20").precision # => 20 + * BigDecimal("Infinity").precision # => 0 + * BigDecimal("-Infinity").precision # => 0 + * BigDecimal("NaN").precision # => 0 + * + */ +static VALUE +BigDecimal_precision(VALUE self) +{ + ssize_t precision; + BigDecimal_count_precision_and_scale(self, &precision, NULL); + return SSIZET2NUM(precision); +} + +/* + * call-seq: + * scale -> integer + * + * Returns the number of decimal digits following the decimal digits in +self+. + * + * BigDecimal("0").scale # => 0 + * BigDecimal("1").scale # => 0 + * BigDecimal("1.1").scale # => 1 + * BigDecimal("3.1415").scale # => 4 + * BigDecimal("-1e20").precision # => 0 + * BigDecimal("1e-20").precision # => 20 + * BigDecimal("Infinity").scale # => 0 + * BigDecimal("-Infinity").scale # => 0 + * BigDecimal("NaN").scale # => 0 + */ +static VALUE +BigDecimal_scale(VALUE self) +{ + ssize_t scale; + BigDecimal_count_precision_and_scale(self, NULL, &scale); + return SSIZET2NUM(scale); +} + +/* + * call-seq: + * precision_scale -> [integer, integer] + * + * Returns a 2-length array; the first item is the result of + * BigDecimal#precision and the second one is of BigDecimal#scale. + * + * See BigDecimal#precision. + * See BigDecimal#scale. + */ +static VALUE +BigDecimal_precision_scale(VALUE self) +{ + ssize_t precision, scale; + BigDecimal_count_precision_and_scale(self, &precision, &scale); + return rb_assoc_new(SSIZET2NUM(precision), SSIZET2NUM(scale)); +} + +/* + * call-seq: + * n_significant_digits -> integer + * + * Returns the number of decimal significant digits in +self+. + * + * BigDecimal("0").n_significant_digits # => 0 + * BigDecimal("1").n_significant_digits # => 1 + * BigDecimal("1.1").n_significant_digits # => 2 + * BigDecimal("3.1415").n_significant_digits # => 5 + * BigDecimal("-1e20").n_significant_digits # => 1 + * BigDecimal("1e-20").n_significant_digits # => 1 + * BigDecimal("Infinity").n_significant_digits # => 0 + * BigDecimal("-Infinity").n_significant_digits # => 0 + * BigDecimal("NaN").n_significant_digits # => 0 + */ +static VALUE +BigDecimal_n_significant_digits(VALUE self) +{ + ENTER(1); + + Real *p; + GUARD_OBJ(p, GetVpValue(self, 1)); + if (VpIsZero(p) || !VpIsDef(p)) { + return INT2FIX(0); + } + + ssize_t n = p->Prec; /* The length of frac without trailing zeros. */ + for (n = p->Prec; n > 0 && p->frac[n-1] == 0; --n); + if (n == 0) return INT2FIX(0); + + DECDIG x; + int nlz = BASE_FIG; + for (x = p->frac[0]; x > 0; x /= 10) --nlz; + + int ntz = 0; + for (x = p->frac[n-1]; x > 0 && x % 10 == 0; x /= 10) ++ntz; + + ssize_t n_significant_digits = BASE_FIG*n - nlz - ntz; + return SSIZET2NUM(n_significant_digits); +} + +/* + * call-seq: + * hash -> integer + * + * Returns the integer hash value for +self+. + * + * Two instances of \BigDecimal have the same hash value if and only if + * they have equal: + * + * - Sign. + * - Fractional part. + * - Exponent. + * + */ +static VALUE +BigDecimal_hash(VALUE self) +{ + ENTER(1); + Real *p; + st_index_t hash; + + GUARD_OBJ(p, GetVpValue(self, 1)); + hash = (st_index_t)p->sign; + /* hash!=2: the case for 0(1),NaN(0) or +-Infinity(3) is sign itself */ + if(hash == 2 || hash == (st_index_t)-2) { + hash ^= rb_memhash(p->frac, sizeof(DECDIG)*p->Prec); + hash += p->exponent; + } + return ST2FIX(hash); +} + +/* + * call-seq: + * _dump -> string + * + * Returns a string representing the marshalling of +self+. + * See module Marshal. + * + * inf = BigDecimal('Infinity') # => Infinity + * dumped = inf._dump # => "9:Infinity" + * BigDecimal._load(dumped) # => Infinity + * + */ +static VALUE +BigDecimal_dump(int argc, VALUE *argv, VALUE self) +{ + ENTER(5); + Real *vp; + char *psz; + VALUE dummy; + volatile VALUE dump; + size_t len; + + rb_scan_args(argc, argv, "01", &dummy); + GUARD_OBJ(vp,GetVpValue(self, 1)); + dump = rb_str_new(0, VpNumOfChars(vp, "E")+50); + psz = RSTRING_PTR(dump); + snprintf(psz, RSTRING_LEN(dump), "%"PRIuSIZE":", VpMaxPrec(vp)*VpBaseFig()); + len = strlen(psz); + VpToString(vp, psz+len, RSTRING_LEN(dump)-len, 0, 0); + rb_str_resize(dump, strlen(psz)); + return dump; +} + +/* + * Internal method used to provide marshalling support. See the Marshal module. + */ +static VALUE +BigDecimal_load(VALUE self, VALUE str) +{ + ENTER(2); + Real *pv; + unsigned char *pch; + unsigned char ch; + unsigned long m=0; + + pch = (unsigned char *)StringValueCStr(str); + /* First get max prec */ + while((*pch) != (unsigned char)'\0' && (ch = *pch++) != (unsigned char)':') { + if(!ISDIGIT(ch)) { + rb_raise(rb_eTypeError, "load failed: invalid character in the marshaled string"); + } + m = m*10 + (unsigned long)(ch-'0'); + } + if (m > VpBaseFig()) m -= VpBaseFig(); + GUARD_OBJ(pv, VpNewRbClass(m, (char *)pch, self, true, true)); + m /= VpBaseFig(); + if (m && pv->MaxPrec > m) { + pv->MaxPrec = m+1; + } + return VpCheckGetValue(pv); +} + +static unsigned short +check_rounding_mode_option(VALUE const opts) +{ + VALUE mode; + char const *s; + long l; + + assert(RB_TYPE_P(opts, T_HASH)); + + if (NIL_P(opts)) + goto no_opt; + + mode = rb_hash_lookup2(opts, ID2SYM(id_half), Qundef); + if (mode == Qundef || NIL_P(mode)) + goto no_opt; + + if (SYMBOL_P(mode)) + mode = rb_sym2str(mode); + else if (!RB_TYPE_P(mode, T_STRING)) { + VALUE str_mode = rb_check_string_type(mode); + if (NIL_P(str_mode)) + goto invalid; + mode = str_mode; + } + s = RSTRING_PTR(mode); + l = RSTRING_LEN(mode); + switch (l) { + case 2: + if (strncasecmp(s, "up", 2) == 0) + return VP_ROUND_HALF_UP; + break; + case 4: + if (strncasecmp(s, "even", 4) == 0) + return VP_ROUND_HALF_EVEN; + else if (strncasecmp(s, "down", 4) == 0) + return VP_ROUND_HALF_DOWN; + break; + default: + break; + } + + invalid: + rb_raise(rb_eArgError, "invalid rounding mode (%"PRIsVALUE")", mode); + + no_opt: + return VpGetRoundMode(); +} + +static unsigned short +check_rounding_mode(VALUE const v) +{ + unsigned short sw; + ID id; + if (RB_TYPE_P(v, T_SYMBOL)) { + int i; + id = SYM2ID(v); + for (i = 0; i < RBD_NUM_ROUNDING_MODES; ++i) { + if (rbd_rounding_modes[i].id == id) { + return rbd_rounding_modes[i].mode; + } + } + rb_raise(rb_eArgError, "invalid rounding mode (%"PRIsVALUE")", v); + } + else { + sw = NUM2USHORT(v); + if (!VpIsRoundMode(sw)) { + rb_raise(rb_eArgError, "invalid rounding mode (%"PRIsVALUE")", v); + } + return sw; + } +} + +/* call-seq: + * BigDecimal.mode(mode, setting = nil) -> integer + * + * Returns an integer representing the mode settings + * for exception handling and rounding. + * + * These modes control exception handling: + * + * - \BigDecimal::EXCEPTION_NaN. + * - \BigDecimal::EXCEPTION_INFINITY. + * - \BigDecimal::EXCEPTION_UNDERFLOW. + * - \BigDecimal::EXCEPTION_OVERFLOW. + * - \BigDecimal::EXCEPTION_ZERODIVIDE. + * - \BigDecimal::EXCEPTION_ALL. + * + * Values for +setting+ for exception handling: + * + * - +true+: sets the given +mode+ to +true+. + * - +false+: sets the given +mode+ to +false+. + * - +nil+: does not modify the mode settings. + * + * You can use method BigDecimal.save_exception_mode + * to temporarily change, and then automatically restore, exception modes. + * + * For clarity, some examples below begin by setting all + * exception modes to +false+. + * + * This mode controls the way rounding is to be performed: + * + * - \BigDecimal::ROUND_MODE + * + * You can use method BigDecimal.save_rounding_mode + * to temporarily change, and then automatically restore, the rounding mode. + * + * <b>NaNs</b> + * + * Mode \BigDecimal::EXCEPTION_NaN controls behavior + * when a \BigDecimal NaN is created. + * + * Settings: + * + * - +false+ (default): Returns <tt>BigDecimal('NaN')</tt>. + * - +true+: Raises FloatDomainError. + * + * Examples: + * + * BigDecimal.mode(BigDecimal::EXCEPTION_ALL, false) # => 0 + * BigDecimal('NaN') # => NaN + * BigDecimal.mode(BigDecimal::EXCEPTION_NaN, true) # => 2 + * BigDecimal('NaN') # Raises FloatDomainError + * + * <b>Infinities</b> + * + * Mode \BigDecimal::EXCEPTION_INFINITY controls behavior + * when a \BigDecimal Infinity or -Infinity is created. + * Settings: + * + * - +false+ (default): Returns <tt>BigDecimal('Infinity')</tt> + * or <tt>BigDecimal('-Infinity')</tt>. + * - +true+: Raises FloatDomainError. + * + * Examples: + * + * BigDecimal.mode(BigDecimal::EXCEPTION_ALL, false) # => 0 + * BigDecimal('Infinity') # => Infinity + * BigDecimal('-Infinity') # => -Infinity + * BigDecimal.mode(BigDecimal::EXCEPTION_INFINITY, true) # => 1 + * BigDecimal('Infinity') # Raises FloatDomainError + * BigDecimal('-Infinity') # Raises FloatDomainError + * + * <b>Underflow</b> + * + * Mode \BigDecimal::EXCEPTION_UNDERFLOW controls behavior + * when a \BigDecimal underflow occurs. + * Settings: + * + * - +false+ (default): Returns <tt>BigDecimal('0')</tt> + * or <tt>BigDecimal('-Infinity')</tt>. + * - +true+: Raises FloatDomainError. + * + * Examples: + * + * BigDecimal.mode(BigDecimal::EXCEPTION_ALL, false) # => 0 + * def flow_under + * x = BigDecimal('0.1') + * 100.times { x *= x } + * end + * flow_under # => 100 + * BigDecimal.mode(BigDecimal::EXCEPTION_UNDERFLOW, true) # => 4 + * flow_under # Raises FloatDomainError + * + * <b>Overflow</b> + * + * Mode \BigDecimal::EXCEPTION_OVERFLOW controls behavior + * when a \BigDecimal overflow occurs. + * Settings: + * + * - +false+ (default): Returns <tt>BigDecimal('Infinity')</tt> + * or <tt>BigDecimal('-Infinity')</tt>. + * - +true+: Raises FloatDomainError. + * + * Examples: + * + * BigDecimal.mode(BigDecimal::EXCEPTION_ALL, false) # => 0 + * def flow_over + * x = BigDecimal('10') + * 100.times { x *= x } + * end + * flow_over # => 100 + * BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, true) # => 1 + * flow_over # Raises FloatDomainError + * + * <b>Zero Division</b> + * + * Mode \BigDecimal::EXCEPTION_ZERODIVIDE controls behavior + * when a zero-division occurs. + * Settings: + * + * - +false+ (default): Returns <tt>BigDecimal('Infinity')</tt> + * or <tt>BigDecimal('-Infinity')</tt>. + * - +true+: Raises FloatDomainError. + * + * Examples: + * + * BigDecimal.mode(BigDecimal::EXCEPTION_ALL, false) # => 0 + * one = BigDecimal('1') + * zero = BigDecimal('0') + * one / zero # => Infinity + * BigDecimal.mode(BigDecimal::EXCEPTION_ZERODIVIDE, true) # => 16 + * one / zero # Raises FloatDomainError + * + * <b>All Exceptions</b> + * + * Mode \BigDecimal::EXCEPTION_ALL controls all of the above: + * + * BigDecimal.mode(BigDecimal::EXCEPTION_ALL, false) # => 0 + * BigDecimal.mode(BigDecimal::EXCEPTION_ALL, true) # => 23 + * + * <b>Rounding</b> + * + * Mode \BigDecimal::ROUND_MODE controls the way rounding is to be performed; + * its +setting+ values are: + * + * - +ROUND_UP+: Round away from zero. + * Aliased as +:up+. + * - +ROUND_DOWN+: Round toward zero. + * Aliased as +:down+ and +:truncate+. + * - +ROUND_HALF_UP+: Round toward the nearest neighbor; + * if the neighbors are equidistant, round away from zero. + * Aliased as +:half_up+ and +:default+. + * - +ROUND_HALF_DOWN+: Round toward the nearest neighbor; + * if the neighbors are equidistant, round toward zero. + * Aliased as +:half_down+. + * - +ROUND_HALF_EVEN+ (Banker's rounding): Round toward the nearest neighbor; + * if the neighbors are equidistant, round toward the even neighbor. + * Aliased as +:half_even+ and +:banker+. + * - +ROUND_CEILING+: Round toward positive infinity. + * Aliased as +:ceiling+ and +:ceil+. + * - +ROUND_FLOOR+: Round toward negative infinity. + * Aliased as +:floor:+. + * + */ +static VALUE +BigDecimal_mode(int argc, VALUE *argv, VALUE self) +{ + VALUE which; + VALUE val; + unsigned long f,fo; + + rb_scan_args(argc, argv, "11", &which, &val); + f = (unsigned long)NUM2INT(which); + + if (f & VP_EXCEPTION_ALL) { + /* Exception mode setting */ + fo = VpGetException(); + if (val == Qnil) return INT2FIX(fo); + if (val != Qfalse && val!=Qtrue) { + rb_raise(rb_eArgError, "second argument must be true or false"); + return Qnil; /* Not reached */ + } + if (f & VP_EXCEPTION_INFINITY) { + VpSetException((unsigned short)((val == Qtrue) ? (fo | VP_EXCEPTION_INFINITY) : + (fo & (~VP_EXCEPTION_INFINITY)))); + } + fo = VpGetException(); + if (f & VP_EXCEPTION_NaN) { + VpSetException((unsigned short)((val == Qtrue) ? (fo | VP_EXCEPTION_NaN) : + (fo & (~VP_EXCEPTION_NaN)))); + } + fo = VpGetException(); + if (f & VP_EXCEPTION_UNDERFLOW) { + VpSetException((unsigned short)((val == Qtrue) ? (fo | VP_EXCEPTION_UNDERFLOW) : + (fo & (~VP_EXCEPTION_UNDERFLOW)))); + } + fo = VpGetException(); + if(f & VP_EXCEPTION_ZERODIVIDE) { + VpSetException((unsigned short)((val == Qtrue) ? (fo | VP_EXCEPTION_ZERODIVIDE) : + (fo & (~VP_EXCEPTION_ZERODIVIDE)))); + } + fo = VpGetException(); + return INT2FIX(fo); + } + if (VP_ROUND_MODE == f) { + /* Rounding mode setting */ + unsigned short sw; + fo = VpGetRoundMode(); + if (NIL_P(val)) return INT2FIX(fo); + sw = check_rounding_mode(val); + fo = VpSetRoundMode(sw); + return INT2FIX(fo); + } + rb_raise(rb_eTypeError, "first argument for BigDecimal.mode invalid"); + return Qnil; +} + +static size_t +GetAddSubPrec(Real *a, Real *b) +{ + size_t mxs; + size_t mx = a->Prec; + SIGNED_VALUE d; + + if (!VpIsDef(a) || !VpIsDef(b)) return (size_t)-1L; + if (mx < b->Prec) mx = b->Prec; + if (a->exponent != b->exponent) { + mxs = mx; + d = a->exponent - b->exponent; + if (d < 0) d = -d; + mx = mx + (size_t)d; + if (mx < mxs) { + return VpException(VP_EXCEPTION_INFINITY, "Exponent overflow", 0); + } + } + return mx; +} + +static inline SIGNED_VALUE +check_int_precision(VALUE v) +{ + SIGNED_VALUE n; +#if SIZEOF_VALUE <= SIZEOF_LONG + n = (SIGNED_VALUE)NUM2LONG(v); +#elif SIZEOF_VALUE <= SIZEOF_LONG_LONG + n = (SIGNED_VALUE)NUM2LL(v); +#else +# error SIZEOF_VALUE is too large +#endif + if (n < 0) { + rb_raise(rb_eArgError, "negative precision"); + } + return n; +} + +static VALUE +BigDecimal_wrap_struct(VALUE obj, Real *vp) +{ + assert(is_kind_of_BigDecimal(obj)); + assert(vp != NULL); + + if (vp->obj == obj && RTYPEDDATA_DATA(obj) == vp) + return obj; + + assert(RTYPEDDATA_DATA(obj) == NULL); + assert(vp->obj == 0); + + RTYPEDDATA_DATA(obj) = vp; + vp->obj = obj; + RB_OBJ_FREEZE(obj); + return obj; +} + +VP_EXPORT Real * +VpNewRbClass(size_t mx, const char *str, VALUE klass, bool strict_p, bool raise_exception) +{ + VALUE obj = TypedData_Wrap_Struct(klass, &BigDecimal_data_type, 0); + Real *pv = VpAlloc(mx, str, strict_p, raise_exception); + if (!pv) + return NULL; + BigDecimal_wrap_struct(obj, pv); + return pv; +} + +VP_EXPORT Real * +VpCreateRbObject(size_t mx, const char *str, bool raise_exception) +{ + return VpNewRbClass(mx, str, rb_cBigDecimal, true, raise_exception); +} + +static Real * +VpCopy(Real *pv, Real const* const x) +{ + assert(x != NULL); + + pv = rbd_reallocate_struct(pv, x->MaxPrec); + pv->MaxPrec = x->MaxPrec; + pv->Prec = x->Prec; + pv->exponent = x->exponent; + pv->sign = x->sign; + pv->flag = x->flag; + MEMCPY(pv->frac, x->frac, DECDIG, pv->MaxPrec); + + return pv; +} + +/* Returns True if the value is Not a Number. */ +static VALUE +BigDecimal_IsNaN(VALUE self) +{ + Real *p = GetVpValue(self, 1); + if (VpIsNaN(p)) return Qtrue; + return Qfalse; +} + +/* Returns nil, -1, or +1 depending on whether the value is finite, + * -Infinity, or +Infinity. + */ +static VALUE +BigDecimal_IsInfinite(VALUE self) +{ + Real *p = GetVpValue(self, 1); + if (VpIsPosInf(p)) return INT2FIX(1); + if (VpIsNegInf(p)) return INT2FIX(-1); + return Qnil; +} + +/* Returns True if the value is finite (not NaN or infinite). */ +static VALUE +BigDecimal_IsFinite(VALUE self) +{ + Real *p = GetVpValue(self, 1); + if (VpIsNaN(p)) return Qfalse; + if (VpIsInf(p)) return Qfalse; + return Qtrue; +} + +static void +BigDecimal_check_num(Real *p) +{ + VpCheckException(p, true); +} + +static VALUE BigDecimal_split(VALUE self); + +/* Returns the value as an Integer. + * + * If the BigDecimal is infinity or NaN, raises FloatDomainError. + */ +static VALUE +BigDecimal_to_i(VALUE self) +{ + ENTER(5); + ssize_t e, nf; + Real *p; + + GUARD_OBJ(p, GetVpValue(self, 1)); + BigDecimal_check_num(p); + + e = VpExponent10(p); + if (e <= 0) return INT2FIX(0); + nf = VpBaseFig(); + if (e <= nf) { + return LONG2NUM((long)(VpGetSign(p) * (DECDIG_DBL_SIGNED)p->frac[0])); + } + else { + VALUE a = BigDecimal_split(self); + VALUE digits = RARRAY_AREF(a, 1); + VALUE numerator = rb_funcall(digits, rb_intern("to_i"), 0); + VALUE ret; + ssize_t dpower = e - (ssize_t)RSTRING_LEN(digits); + + if (BIGDECIMAL_NEGATIVE_P(p)) { + numerator = rb_funcall(numerator, '*', 1, INT2FIX(-1)); + } + if (dpower < 0) { + ret = rb_funcall(numerator, rb_intern("div"), 1, + rb_funcall(INT2FIX(10), rb_intern("**"), 1, + INT2FIX(-dpower))); + } + else { + ret = rb_funcall(numerator, '*', 1, + rb_funcall(INT2FIX(10), rb_intern("**"), 1, + INT2FIX(dpower))); + } + if (RB_TYPE_P(ret, T_FLOAT)) { + rb_raise(rb_eFloatDomainError, "Infinity"); + } + return ret; + } +} + +/* Returns a new Float object having approximately the same value as the + * BigDecimal number. Normal accuracy limits and built-in errors of binary + * Float arithmetic apply. + */ +static VALUE +BigDecimal_to_f(VALUE self) +{ + ENTER(1); + Real *p; + double d; + SIGNED_VALUE e; + char *buf; + volatile VALUE str; + + GUARD_OBJ(p, GetVpValue(self, 1)); + if (VpVtoD(&d, &e, p) != 1) + return rb_float_new(d); + if (e > (SIGNED_VALUE)(DBL_MAX_10_EXP+BASE_FIG)) + goto overflow; + if (e < (SIGNED_VALUE)(DBL_MIN_10_EXP-BASE_FIG)) + goto underflow; + + str = rb_str_new(0, VpNumOfChars(p, "E")); + buf = RSTRING_PTR(str); + VpToString(p, buf, RSTRING_LEN(str), 0, 0); + errno = 0; + d = strtod(buf, 0); + if (errno == ERANGE) { + if (d == 0.0) goto underflow; + if (fabs(d) >= HUGE_VAL) goto overflow; + } + return rb_float_new(d); + +overflow: + VpException(VP_EXCEPTION_OVERFLOW, "BigDecimal to Float conversion", 0); + if (BIGDECIMAL_NEGATIVE_P(p)) + return rb_float_new(VpGetDoubleNegInf()); + else + return rb_float_new(VpGetDoublePosInf()); + +underflow: + VpException(VP_EXCEPTION_UNDERFLOW, "BigDecimal to Float conversion", 0); + if (BIGDECIMAL_NEGATIVE_P(p)) + return rb_float_new(-0.0); + else + return rb_float_new(0.0); +} + + +/* Converts a BigDecimal to a Rational. + */ +static VALUE +BigDecimal_to_r(VALUE self) +{ + Real *p; + ssize_t sign, power, denomi_power; + VALUE a, digits, numerator; + + p = GetVpValue(self, 1); + BigDecimal_check_num(p); + + sign = VpGetSign(p); + power = VpExponent10(p); + a = BigDecimal_split(self); + digits = RARRAY_AREF(a, 1); + denomi_power = power - RSTRING_LEN(digits); + numerator = rb_funcall(digits, rb_intern("to_i"), 0); + + if (sign < 0) { + numerator = rb_funcall(numerator, '*', 1, INT2FIX(-1)); + } + if (denomi_power < 0) { + return rb_Rational(numerator, + rb_funcall(INT2FIX(10), rb_intern("**"), 1, + INT2FIX(-denomi_power))); + } + else { + return rb_Rational1(rb_funcall(numerator, '*', 1, + rb_funcall(INT2FIX(10), rb_intern("**"), 1, + INT2FIX(denomi_power)))); + } +} + +/* The coerce method provides support for Ruby type coercion. It is not + * enabled by default. + * + * This means that binary operations like + * / or - can often be performed + * on a BigDecimal and an object of another type, if the other object can + * be coerced into a BigDecimal value. + * + * e.g. + * a = BigDecimal("1.0") + * b = a / 2.0 #=> 0.5 + * + * Note that coercing a String to a BigDecimal is not supported by default; + * it requires a special compile-time option when building Ruby. + */ +static VALUE +BigDecimal_coerce(VALUE self, VALUE other) +{ + ENTER(2); + VALUE obj; + Real *b; + + if (RB_TYPE_P(other, T_FLOAT)) { + GUARD_OBJ(b, GetVpValueWithPrec(other, 0, 1)); + obj = rb_assoc_new(VpCheckGetValue(b), self); + } + else { + if (RB_TYPE_P(other, T_RATIONAL)) { + Real* pv = DATA_PTR(self); + GUARD_OBJ(b, GetVpValueWithPrec(other, pv->Prec*VpBaseFig(), 1)); + } + else { + GUARD_OBJ(b, GetVpValue(other, 1)); + } + obj = rb_assoc_new(b->obj, self); + } + + return obj; +} + +/* + * call-seq: + * +big_decimal -> self + * + * Returns +self+: + * + * +BigDecimal(5) # => 0.5e1 + * +BigDecimal(-5) # => -0.5e1 + * + */ + +static VALUE +BigDecimal_uplus(VALUE self) +{ + return self; +} + + /* + * call-seq: + * self + value -> bigdecimal + * + * Returns the \BigDecimal sum of +self+ and +value+: + * + * b = BigDecimal('111111.111') # => 0.111111111e6 + * b + 2 # => 0.111113111e6 + * b + 2.0 # => 0.111113111e6 + * b + Rational(2, 1) # => 0.111113111e6 + * b + Complex(2, 0) # => (0.111113111e6+0i) + * + * See the {Note About Precision}[BigDecimal.html#class-BigDecimal-label-A+Note+About+Precision]. + * + */ + +static VALUE +BigDecimal_add(VALUE self, VALUE r) +{ + ENTER(5); + Real *c, *a, *b; + size_t mx; + + GUARD_OBJ(a, GetVpValue(self, 1)); + if (RB_TYPE_P(r, T_FLOAT)) { + b = GetVpValueWithPrec(r, 0, 1); + } + else if (RB_TYPE_P(r, T_RATIONAL)) { + b = GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 1); + } + else { + b = GetVpValue(r, 0); + } + + if (!b) return DoSomeOne(self,r,'+'); + SAVE(b); + + if (VpIsNaN(b)) return b->obj; + if (VpIsNaN(a)) return a->obj; + + mx = GetAddSubPrec(a, b); + if (mx == (size_t)-1L) { + GUARD_OBJ(c, NewZeroWrapLimited(1, VpBaseFig() + 1)); + VpAddSub(c, a, b, 1); + } + else { + GUARD_OBJ(c, NewZeroWrapLimited(1, mx * (VpBaseFig() + 1))); + if (!mx) { + VpSetInf(c, VpGetSign(a)); + } + else { + VpAddSub(c, a, b, 1); + } + } + return VpCheckGetValue(c); +} + + /* + * call-seq: + * self - value -> bigdecimal + * + * Returns the \BigDecimal difference of +self+ and +value+: + * + * b = BigDecimal('333333.333') # => 0.333333333e6 + * b - 2 # => 0.333331333e6 + * b - 2.0 # => 0.333331333e6 + * b - Rational(2, 1) # => 0.333331333e6 + * b - Complex(2, 0) # => (0.333331333e6+0i) + * + * See the {Note About Precision}[BigDecimal.html#class-BigDecimal-label-A+Note+About+Precision]. + * + */ +static VALUE +BigDecimal_sub(VALUE self, VALUE r) +{ + ENTER(5); + Real *c, *a, *b; + size_t mx; + + GUARD_OBJ(a, GetVpValue(self,1)); + if (RB_TYPE_P(r, T_FLOAT)) { + b = GetVpValueWithPrec(r, 0, 1); + } + else if (RB_TYPE_P(r, T_RATIONAL)) { + b = GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 1); + } + else { + b = GetVpValue(r,0); + } + + if (!b) return DoSomeOne(self,r,'-'); + SAVE(b); + + if (VpIsNaN(b)) return b->obj; + if (VpIsNaN(a)) return a->obj; + + mx = GetAddSubPrec(a,b); + if (mx == (size_t)-1L) { + GUARD_OBJ(c, NewZeroWrapLimited(1, VpBaseFig() + 1)); + VpAddSub(c, a, b, -1); + } + else { + GUARD_OBJ(c, NewZeroWrapLimited(1, mx *(VpBaseFig() + 1))); + if (!mx) { + VpSetInf(c,VpGetSign(a)); + } + else { + VpAddSub(c, a, b, -1); + } + } + return VpCheckGetValue(c); +} + +static VALUE +BigDecimalCmp(VALUE self, VALUE r,char op) +{ + ENTER(5); + SIGNED_VALUE e; + Real *a, *b=0; + GUARD_OBJ(a, GetVpValue(self, 1)); + switch (TYPE(r)) { + case T_DATA: + if (!is_kind_of_BigDecimal(r)) break; + /* fall through */ + case T_FIXNUM: + /* fall through */ + case T_BIGNUM: + GUARD_OBJ(b, GetVpValue(r, 0)); + break; + + case T_FLOAT: + GUARD_OBJ(b, GetVpValueWithPrec(r, 0, 0)); + break; + + case T_RATIONAL: + GUARD_OBJ(b, GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 0)); + break; + + default: + break; + } + if (b == NULL) { + ID f = 0; + + switch (op) { + case '*': + return rb_num_coerce_cmp(self, r, rb_intern("<=>")); + + case '=': + return RTEST(rb_num_coerce_cmp(self, r, rb_intern("=="))) ? Qtrue : Qfalse; + + case 'G': + f = rb_intern(">="); + break; + + case 'L': + f = rb_intern("<="); + break; + + case '>': + /* fall through */ + case '<': + f = (ID)op; + break; + + default: + break; + } + return rb_num_coerce_relop(self, r, f); + } + SAVE(b); + e = VpComp(a, b); + if (e == 999) + return (op == '*') ? Qnil : Qfalse; + switch (op) { + case '*': + return INT2FIX(e); /* any op */ + + case '=': + if (e == 0) return Qtrue; + return Qfalse; + + case 'G': + if (e >= 0) return Qtrue; + return Qfalse; + + case '>': + if (e > 0) return Qtrue; + return Qfalse; + + case 'L': + if (e <= 0) return Qtrue; + return Qfalse; + + case '<': + if (e < 0) return Qtrue; + return Qfalse; + + default: + break; + } + + rb_bug("Undefined operation in BigDecimalCmp()"); + + UNREACHABLE; +} + +/* Returns True if the value is zero. */ +static VALUE +BigDecimal_zero(VALUE self) +{ + Real *a = GetVpValue(self, 1); + return VpIsZero(a) ? Qtrue : Qfalse; +} + +/* Returns self if the value is non-zero, nil otherwise. */ +static VALUE +BigDecimal_nonzero(VALUE self) +{ + Real *a = GetVpValue(self, 1); + return VpIsZero(a) ? Qnil : self; +} + +/* The comparison operator. + * a <=> b is 0 if a == b, 1 if a > b, -1 if a < b. + */ +static VALUE +BigDecimal_comp(VALUE self, VALUE r) +{ + return BigDecimalCmp(self, r, '*'); +} + +/* + * Tests for value equality; returns true if the values are equal. + * + * The == and === operators and the eql? method have the same implementation + * for BigDecimal. + * + * Values may be coerced to perform the comparison: + * + * BigDecimal('1.0') == 1.0 #=> true + */ +static VALUE +BigDecimal_eq(VALUE self, VALUE r) +{ + return BigDecimalCmp(self, r, '='); +} + +/* call-seq: + * self < other -> true or false + * + * Returns +true+ if +self+ is less than +other+, +false+ otherwise: + * + * b = BigDecimal('1.5') # => 0.15e1 + * b < 2 # => true + * b < 2.0 # => true + * b < Rational(2, 1) # => true + * b < 1.5 # => false + * + * Raises an exception if the comparison cannot be made. + * + */ +static VALUE +BigDecimal_lt(VALUE self, VALUE r) +{ + return BigDecimalCmp(self, r, '<'); +} + +/* call-seq: + * self <= other -> true or false + * + * Returns +true+ if +self+ is less or equal to than +other+, +false+ otherwise: + * + * b = BigDecimal('1.5') # => 0.15e1 + * b <= 2 # => true + * b <= 2.0 # => true + * b <= Rational(2, 1) # => true + * b <= 1.5 # => true + * b < 1 # => false + * + * Raises an exception if the comparison cannot be made. + * + */ +static VALUE +BigDecimal_le(VALUE self, VALUE r) +{ + return BigDecimalCmp(self, r, 'L'); +} + +/* call-seq: + * self > other -> true or false + * + * Returns +true+ if +self+ is greater than +other+, +false+ otherwise: + * + * b = BigDecimal('1.5') + * b > 1 # => true + * b > 1.0 # => true + * b > Rational(1, 1) # => true + * b > 2 # => false + * + * Raises an exception if the comparison cannot be made. + * + */ +static VALUE +BigDecimal_gt(VALUE self, VALUE r) +{ + return BigDecimalCmp(self, r, '>'); +} + +/* call-seq: + * self >= other -> true or false + * + * Returns +true+ if +self+ is greater than or equal to +other+, +false+ otherwise: + * + * b = BigDecimal('1.5') + * b >= 1 # => true + * b >= 1.0 # => true + * b >= Rational(1, 1) # => true + * b >= 1.5 # => true + * b > 2 # => false + * + * Raises an exception if the comparison cannot be made. + * + */ +static VALUE +BigDecimal_ge(VALUE self, VALUE r) +{ + return BigDecimalCmp(self, r, 'G'); +} + +/* + * call-seq: + * -self -> bigdecimal + * + * Returns the \BigDecimal negation of self: + * + * b0 = BigDecimal('1.5') + * b1 = -b0 # => -0.15e1 + * b2 = -b1 # => 0.15e1 + * + */ + +static VALUE +BigDecimal_neg(VALUE self) +{ + ENTER(5); + Real *c, *a; + GUARD_OBJ(a, GetVpValue(self, 1)); + GUARD_OBJ(c, NewZeroWrapLimited(1, a->Prec *(VpBaseFig() + 1))); + VpAsgn(c, a, -1); + return VpCheckGetValue(c); +} + +/* + * call-seq: + * a * b -> bigdecimal + * + * Multiply by the specified value. + * + * The result precision will be the precision of the sum of each precision. + * + * See BigDecimal#mult. + */ + +static VALUE +BigDecimal_mult(VALUE self, VALUE r) +{ + ENTER(5); + Real *c, *a, *b; + size_t mx; + + GUARD_OBJ(a, GetVpValue(self, 1)); + if (RB_TYPE_P(r, T_FLOAT)) { + b = GetVpValueWithPrec(r, 0, 1); + } + else if (RB_TYPE_P(r, T_RATIONAL)) { + b = GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 1); + } + else { + b = GetVpValue(r,0); + } + + if (!b) return DoSomeOne(self, r, '*'); + SAVE(b); + + mx = a->Prec + b->Prec; + GUARD_OBJ(c, NewZeroWrapLimited(1, mx * (VpBaseFig() + 1))); + VpMult(c, a, b); + return VpCheckGetValue(c); +} + +static VALUE BigDecimal_DoDivmod(VALUE self, VALUE r, Real **div, Real **mod); + +/* call-seq: + * a / b -> bigdecimal + * + * Divide by the specified value. + * + * The result precision will be the precision of the larger operand, + * but its minimum is 2*Float::DIG. + * + * See BigDecimal#div. + * See BigDecimal#quo. + */ +static VALUE +BigDecimal_div(VALUE self, VALUE r) +/* For c = self/r: with round operation */ +{ + if ( + !is_kind_of_BigDecimal(r) && + !RB_INTEGER_TYPE_P(r) && + !RB_TYPE_P(r, T_FLOAT) && + !RB_TYPE_P(r, T_RATIONAL) + ) { + return DoSomeOne(self, r, '/'); + } + return BigDecimal_div2(self, r, INT2FIX(0)); +} + +static VALUE BigDecimal_round(int argc, VALUE *argv, VALUE self); + +/* call-seq: + * quo(value) -> bigdecimal + * quo(value, digits) -> bigdecimal + * + * Divide by the specified value. + * + * digits:: If specified and less than the number of significant digits of + * the result, the result is rounded to the given number of digits, + * according to the rounding mode indicated by BigDecimal.mode. + * + * If digits is 0 or omitted, the result is the same as for the + * / operator. + * + * See BigDecimal#/. + * See BigDecimal#div. + */ +static VALUE +BigDecimal_quo(int argc, VALUE *argv, VALUE self) +{ + VALUE value, digits, result; + SIGNED_VALUE n = -1; + + argc = rb_scan_args(argc, argv, "11", &value, &digits); + if (argc > 1) { + n = check_int_precision(digits); + } + + if (n > 0) { + result = BigDecimal_div2(self, value, digits); + } + else { + result = BigDecimal_div(self, value); + } + + return result; +} + +/* + * %: mod = a%b = a - (a.to_f/b).floor * b + * div = (a.to_f/b).floor + */ +static VALUE +BigDecimal_DoDivmod(VALUE self, VALUE r, Real **div, Real **mod) +{ + ENTER(8); + Real *c=NULL, *d=NULL, *res=NULL; + Real *a, *b; + ssize_t a_prec, b_prec; + size_t mx; + + TypedData_Get_Struct(self, Real, &BigDecimal_data_type, a); + SAVE(a); + + VALUE rr = r; + if (is_kind_of_BigDecimal(rr)) { + /* do nothing */ + } + else if (RB_INTEGER_TYPE_P(r)) { + rr = rb_inum_convert_to_BigDecimal(r, 0, true); + } + else if (RB_TYPE_P(r, T_FLOAT)) { + rr = rb_float_convert_to_BigDecimal(r, 0, true); + } + else if (RB_TYPE_P(r, T_RATIONAL)) { + rr = rb_rational_convert_to_BigDecimal(r, a->Prec*BASE_FIG, true); + } + + if (!is_kind_of_BigDecimal(rr)) { + return Qfalse; + } + + TypedData_Get_Struct(rr, Real, &BigDecimal_data_type, b); + SAVE(b); + + if (VpIsNaN(a) || VpIsNaN(b)) goto NaN; + if (VpIsInf(a) && VpIsInf(b)) goto NaN; + if (VpIsZero(b)) { + rb_raise(rb_eZeroDivError, "divided by 0"); + } + if (VpIsInf(a)) { + if (VpGetSign(a) == VpGetSign(b)) { + VALUE inf = BigDecimal_positive_infinity(); + TypedData_Get_Struct(inf, Real, &BigDecimal_data_type, *div); + } + else { + VALUE inf = BigDecimal_negative_infinity(); + TypedData_Get_Struct(inf, Real, &BigDecimal_data_type, *div); + } + VALUE nan = BigDecimal_nan(); + TypedData_Get_Struct(nan, Real, &BigDecimal_data_type, *mod); + return Qtrue; + } + if (VpIsInf(b)) { + VALUE zero = BigDecimal_positive_zero(); + TypedData_Get_Struct(zero, Real, &BigDecimal_data_type, *div); + *mod = a; + return Qtrue; + } + if (VpIsZero(a)) { + VALUE zero = BigDecimal_positive_zero(); + TypedData_Get_Struct(zero, Real, &BigDecimal_data_type, *div); + TypedData_Get_Struct(zero, Real, &BigDecimal_data_type, *mod); + return Qtrue; + } + + BigDecimal_count_precision_and_scale(self, &a_prec, NULL); + BigDecimal_count_precision_and_scale(rr, &b_prec, NULL); + + mx = (a_prec > b_prec) ? a_prec : b_prec; + mx *= 2; + + if (2*BIGDECIMAL_DOUBLE_FIGURES > mx) + mx = 2*BIGDECIMAL_DOUBLE_FIGURES; + + GUARD_OBJ(c, NewZeroWrapLimited(1, mx + 2*BASE_FIG)); + GUARD_OBJ(res, NewZeroWrapNolimit(1, mx*2 + 2*BASE_FIG)); + VpDivd(c, res, a, b); + + mx = c->Prec * BASE_FIG; + GUARD_OBJ(d, NewZeroWrapLimited(1, mx)); + VpActiveRound(d, c, VP_ROUND_DOWN, 0); + + VpMult(res, d, b); + VpAddSub(c, a, res, -1); + + if (!VpIsZero(c) && (VpGetSign(a) * VpGetSign(b) < 0)) { + /* result adjustment for negative case */ + res = rbd_reallocate_struct(res, d->MaxPrec); + res->MaxPrec = d->MaxPrec; + VpAddSub(res, d, VpOne(), -1); + GUARD_OBJ(d, NewZeroWrapLimited(1, GetAddSubPrec(c, b) * 2*BASE_FIG)); + VpAddSub(d, c, b, 1); + *div = res; + *mod = d; + } + else { + *div = d; + *mod = c; + } + return Qtrue; + + NaN: + { + VALUE nan = BigDecimal_nan(); + TypedData_Get_Struct(nan, Real, &BigDecimal_data_type, *div); + TypedData_Get_Struct(nan, Real, &BigDecimal_data_type, *mod); + } + return Qtrue; +} + +/* call-seq: + * a % b + * a.modulo(b) + * + * Returns the modulus from dividing by b. + * + * See BigDecimal#divmod. + */ +static VALUE +BigDecimal_mod(VALUE self, VALUE r) /* %: a%b = a - (a.to_f/b).floor * b */ +{ + ENTER(3); + Real *div = NULL, *mod = NULL; + + if (BigDecimal_DoDivmod(self, r, &div, &mod)) { + SAVE(div); SAVE(mod); + return VpCheckGetValue(mod); + } + return DoSomeOne(self, r, '%'); +} + +static VALUE +BigDecimal_divremain(VALUE self, VALUE r, Real **dv, Real **rv) +{ + ENTER(10); + size_t mx; + Real *a = NULL, *b = NULL, *c = NULL, *res = NULL, *d = NULL, *rr = NULL, *ff = NULL; + Real *f = NULL; + + GUARD_OBJ(a, GetVpValue(self, 1)); + if (RB_TYPE_P(r, T_FLOAT)) { + b = GetVpValueWithPrec(r, 0, 1); + } + else if (RB_TYPE_P(r, T_RATIONAL)) { + b = GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 1); + } + else { + b = GetVpValue(r, 0); + } + + if (!b) return DoSomeOne(self, r, rb_intern("remainder")); + SAVE(b); + + if (VpIsPosInf(b) || VpIsNegInf(b)) { + GUARD_OBJ(*dv, NewZeroWrapLimited(1, 1)); + VpSetZero(*dv, 1); + *rv = a; + return Qnil; + } + + mx = (a->MaxPrec + b->MaxPrec) *VpBaseFig(); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + GUARD_OBJ(res, NewZeroWrapNolimit(1, (mx+1) * 2 + (VpBaseFig() + 1))); + GUARD_OBJ(rr, NewZeroWrapNolimit(1, (mx+1) * 2 + (VpBaseFig() + 1))); + GUARD_OBJ(ff, NewZeroWrapNolimit(1, (mx+1) * 2 + (VpBaseFig() + 1))); + + VpDivd(c, res, a, b); + + mx = c->Prec *(VpBaseFig() + 1); + + GUARD_OBJ(d, NewZeroWrapLimited(1, mx)); + GUARD_OBJ(f, NewZeroWrapLimited(1, mx)); + + VpActiveRound(d, c, VP_ROUND_DOWN, 0); /* 0: round off */ + + VpFrac(f, c); + VpMult(rr, f, b); + VpAddSub(ff, res, rr, 1); + + *dv = d; + *rv = ff; + return Qnil; +} + +/* call-seq: + * remainder(value) + * + * Returns the remainder from dividing by the value. + * + * x.remainder(y) means x-y*(x/y).truncate + */ +static VALUE +BigDecimal_remainder(VALUE self, VALUE r) /* remainder */ +{ + VALUE f; + Real *d, *rv = 0; + f = BigDecimal_divremain(self, r, &d, &rv); + if (!NIL_P(f)) return f; + return VpCheckGetValue(rv); +} + +/* call-seq: + * divmod(value) + * + * Divides by the specified value, and returns the quotient and modulus + * as BigDecimal numbers. The quotient is rounded towards negative infinity. + * + * For example: + * + * require 'bigdecimal' + * + * a = BigDecimal("42") + * b = BigDecimal("9") + * + * q, m = a.divmod(b) + * + * c = q * b + m + * + * a == c #=> true + * + * The quotient q is (a/b).floor, and the modulus is the amount that must be + * added to q * b to get a. + */ +static VALUE +BigDecimal_divmod(VALUE self, VALUE r) +{ + ENTER(5); + Real *div = NULL, *mod = NULL; + + if (BigDecimal_DoDivmod(self, r, &div, &mod)) { + SAVE(div); SAVE(mod); + return rb_assoc_new(VpCheckGetValue(div), VpCheckGetValue(mod)); + } + return DoSomeOne(self,r,rb_intern("divmod")); +} + +/* + * Do the same manner as Float#div when n is nil. + * Do the same manner as BigDecimal#quo when n is 0. + */ +static inline VALUE +BigDecimal_div2(VALUE self, VALUE b, VALUE n) +{ + ENTER(5); + SIGNED_VALUE ix; + Real *res = NULL; + Real *av = NULL, *bv = NULL, *cv = NULL; + size_t mx, pl; + + if (NIL_P(n)) { /* div in Float sense */ + Real *div = NULL; + Real *mod; + if (BigDecimal_DoDivmod(self, b, &div, &mod)) { + return BigDecimal_to_i(VpCheckGetValue(div)); + } + return DoSomeOne(self, b, rb_intern("div")); + } + + /* div in BigDecimal sense */ + ix = check_int_precision(n); + + pl = VpSetPrecLimit(0); + if (ix == 0) ix = pl; + + GUARD_OBJ(av, GetVpValue(self, 1)); + if (RB_FLOAT_TYPE_P(b) && ix > BIGDECIMAL_DOUBLE_FIGURES) { + /* TODO: I want to refactor this precision control for a float value later + * by introducing an implicit conversion function instead of + * GetVpValueWithPrec. */ + GUARD_OBJ(bv, GetVpValueWithPrec(b, BIGDECIMAL_DOUBLE_FIGURES, 1)); + } + else { + GUARD_OBJ(bv, GetVpValueWithPrec(b, ix, 1)); + } + + if (ix == 0) { + ssize_t a_prec, b_prec; + VpCountPrecisionAndScale(av, &a_prec, NULL); + VpCountPrecisionAndScale(bv, &b_prec, NULL); + ix = ((a_prec > b_prec) ? a_prec : b_prec) + BIGDECIMAL_DOUBLE_FIGURES; + if (2 * BIGDECIMAL_DOUBLE_FIGURES > ix) + ix = 2 * BIGDECIMAL_DOUBLE_FIGURES; + } + + // VpDivd needs 2 extra DECDIGs. One more is needed for rounding. + GUARD_OBJ(cv, NewZeroWrapLimited(1, ix + 3 * VpBaseFig())); + + mx = bv->Prec + cv->MaxPrec - 1; + if (mx <= av->Prec) mx = av->Prec + 1; + GUARD_OBJ(res, NewZeroWrapNolimit(1, mx * VpBaseFig())); + VpDivd(cv, res, av, bv); + VpSetPrecLimit(pl); + if (!VpIsZero(res)) { + // Remainder value affects rounding result. + // ROUND_UP cv = 0.1e0 with ix=10 will be: + // 0.1e0 if remainder == 0 + // 0.1000000001e0 if remainder != 0 + size_t idx = roomof(ix, BASE_FIG); + while (cv->Prec <= idx) cv->frac[cv->Prec++] = 0; + if (cv->frac[idx] == 0 || cv->frac[idx] == HALF_BASE) cv->frac[idx]++; + } + VpLeftRound(cv, VpGetRoundMode(), ix); + return VpCheckGetValue(cv); +} + + /* + * Document-method: BigDecimal#div + * + * call-seq: + * div(value) -> integer + * div(value, digits) -> bigdecimal or integer + * + * Divide by the specified value. + * + * digits:: If specified and less than the number of significant digits of the + * result, the result is rounded to that number of digits, according + * to BigDecimal.mode. + * + * If digits is 0, the result is the same as for the / operator + * or #quo. + * + * If digits is not specified, the result is an integer, + * by analogy with Float#div; see also BigDecimal#divmod. + * + * See BigDecimal#/. + * See BigDecimal#quo. + * + * Examples: + * + * a = BigDecimal("4") + * b = BigDecimal("3") + * + * a.div(b, 3) # => 0.133e1 + * + * a.div(b, 0) # => 0.1333333333333333333e1 + * a / b # => 0.1333333333333333333e1 + * a.quo(b) # => 0.1333333333333333333e1 + * + * a.div(b) # => 1 + */ +static VALUE +BigDecimal_div3(int argc, VALUE *argv, VALUE self) +{ + VALUE b,n; + + rb_scan_args(argc, argv, "11", &b, &n); + + return BigDecimal_div2(self, b, n); +} + + /* + * call-seq: + * add(value, ndigits) -> new_bigdecimal + * + * Returns the \BigDecimal sum of +self+ and +value+ + * with a precision of +ndigits+ decimal digits. + * + * When +ndigits+ is less than the number of significant digits + * in the sum, the sum is rounded to that number of digits, + * according to the current rounding mode; see BigDecimal.mode. + * + * Examples: + * + * # Set the rounding mode. + * BigDecimal.mode(BigDecimal::ROUND_MODE, :half_up) + * b = BigDecimal('111111.111') + * b.add(1, 0) # => 0.111112111e6 + * b.add(1, 3) # => 0.111e6 + * b.add(1, 6) # => 0.111112e6 + * b.add(1, 15) # => 0.111112111e6 + * b.add(1.0, 15) # => 0.111112111e6 + * b.add(Rational(1, 1), 15) # => 0.111112111e6 + * + */ + +static VALUE +BigDecimal_add2(VALUE self, VALUE b, VALUE n) +{ + ENTER(2); + Real *cv; + SIGNED_VALUE mx = check_int_precision(n); + if (mx == 0) return BigDecimal_add(self, b); + else { + size_t pl = VpSetPrecLimit(0); + VALUE c = BigDecimal_add(self, b); + VpSetPrecLimit(pl); + GUARD_OBJ(cv, GetVpValue(c, 1)); + VpLeftRound(cv, VpGetRoundMode(), mx); + return VpCheckGetValue(cv); + } +} + +/* call-seq: + * sub(value, digits) -> bigdecimal + * + * Subtract the specified value. + * + * e.g. + * c = a.sub(b,n) + * + * digits:: If specified and less than the number of significant digits of the + * result, the result is rounded to that number of digits, according + * to BigDecimal.mode. + * + */ +static VALUE +BigDecimal_sub2(VALUE self, VALUE b, VALUE n) +{ + ENTER(2); + Real *cv; + SIGNED_VALUE mx = check_int_precision(n); + if (mx == 0) return BigDecimal_sub(self, b); + else { + size_t pl = VpSetPrecLimit(0); + VALUE c = BigDecimal_sub(self, b); + VpSetPrecLimit(pl); + GUARD_OBJ(cv, GetVpValue(c, 1)); + VpLeftRound(cv, VpGetRoundMode(), mx); + return VpCheckGetValue(cv); + } +} + + /* + * call-seq: + * mult(other, ndigits) -> bigdecimal + * + * Returns the \BigDecimal product of +self+ and +value+ + * with a precision of +ndigits+ decimal digits. + * + * When +ndigits+ is less than the number of significant digits + * in the sum, the sum is rounded to that number of digits, + * according to the current rounding mode; see BigDecimal.mode. + * + * Examples: + * + * # Set the rounding mode. + * BigDecimal.mode(BigDecimal::ROUND_MODE, :half_up) + * b = BigDecimal('555555.555') + * b.mult(3, 0) # => 0.1666666665e7 + * b.mult(3, 3) # => 0.167e7 + * b.mult(3, 6) # => 0.166667e7 + * b.mult(3, 15) # => 0.1666666665e7 + * b.mult(3.0, 0) # => 0.1666666665e7 + * b.mult(Rational(3, 1), 0) # => 0.1666666665e7 + * b.mult(Complex(3, 0), 0) # => (0.1666666665e7+0.0i) + * + */ + +static VALUE +BigDecimal_mult2(VALUE self, VALUE b, VALUE n) +{ + ENTER(2); + Real *cv; + SIGNED_VALUE mx = check_int_precision(n); + if (mx == 0) return BigDecimal_mult(self, b); + else { + size_t pl = VpSetPrecLimit(0); + VALUE c = BigDecimal_mult(self, b); + VpSetPrecLimit(pl); + GUARD_OBJ(cv, GetVpValue(c, 1)); + VpLeftRound(cv, VpGetRoundMode(), mx); + return VpCheckGetValue(cv); + } +} + +/* + * call-seq: + * abs -> bigdecimal + * + * Returns the \BigDecimal absolute value of +self+: + * + * BigDecimal('5').abs # => 0.5e1 + * BigDecimal('-3').abs # => 0.3e1 + * + */ + +static VALUE +BigDecimal_abs(VALUE self) +{ + ENTER(5); + Real *c, *a; + size_t mx; + + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec *(VpBaseFig() + 1); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpAsgn(c, a, 1); + VpChangeSign(c, 1); + return VpCheckGetValue(c); +} + +/* call-seq: + * sqrt(n) + * + * Returns the square root of the value. + * + * Result has at least n significant digits. + */ +static VALUE +BigDecimal_sqrt(VALUE self, VALUE nFig) +{ + ENTER(5); + Real *c, *a; + size_t mx, n; + + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec * (VpBaseFig() + 1); + + n = check_int_precision(nFig); + n += VpDblFig() + VpBaseFig(); + if (mx <= n) mx = n; + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpSqrt(c, a); + return VpCheckGetValue(c); +} + +/* Return the integer part of the number, as a BigDecimal. + */ +static VALUE +BigDecimal_fix(VALUE self) +{ + ENTER(5); + Real *c, *a; + size_t mx; + + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec *(VpBaseFig() + 1); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpActiveRound(c, a, VP_ROUND_DOWN, 0); /* 0: round off */ + return VpCheckGetValue(c); +} + +/* call-seq: + * round(n, mode) + * + * Round to the nearest integer (by default), returning the result as a + * BigDecimal if n is specified and positive, or as an Integer if it isn't. + * + * BigDecimal('3.14159').round #=> 3 + * BigDecimal('8.7').round #=> 9 + * BigDecimal('-9.9').round #=> -10 + * + * BigDecimal('3.14159').round(2).class.name #=> "BigDecimal" + * BigDecimal('3.14159').round.class.name #=> "Integer" + * BigDecimal('3.14159').round(0).class.name #=> "Integer" + * + * If n is specified and positive, the fractional part of the result has no + * more than that many digits. + * + * If n is specified and negative, at least that many digits to the left of the + * decimal point will be 0 in the result, and return value will be an Integer. + * + * BigDecimal('3.14159').round(3) #=> 3.142 + * BigDecimal('13345.234').round(-2) #=> 13300 + * + * The value of the optional mode argument can be used to determine how + * rounding is performed; see BigDecimal.mode. + */ +static VALUE +BigDecimal_round(int argc, VALUE *argv, VALUE self) +{ + ENTER(5); + Real *c, *a; + int iLoc = 0; + VALUE vLoc; + VALUE vRound; + int round_to_int = 0; + size_t mx, pl; + + unsigned short sw = VpGetRoundMode(); + + switch (rb_scan_args(argc, argv, "02", &vLoc, &vRound)) { + case 0: + iLoc = 0; + round_to_int = 1; + break; + case 1: + if (RB_TYPE_P(vLoc, T_HASH)) { + sw = check_rounding_mode_option(vLoc); + } + else { + iLoc = NUM2INT(vLoc); + if (iLoc < 1) round_to_int = 1; + } + break; + case 2: + iLoc = NUM2INT(vLoc); + if (RB_TYPE_P(vRound, T_HASH)) { + sw = check_rounding_mode_option(vRound); + } + else { + sw = check_rounding_mode(vRound); + } + break; + default: + break; + } + + pl = VpSetPrecLimit(0); + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec * (VpBaseFig() + 1); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpSetPrecLimit(pl); + VpActiveRound(c, a, sw, iLoc); + if (round_to_int) { + return BigDecimal_to_i(VpCheckGetValue(c)); + } + return VpCheckGetValue(c); +} + +/* call-seq: + * truncate(n) + * + * Truncate to the nearest integer (by default), returning the result as a + * BigDecimal. + * + * BigDecimal('3.14159').truncate #=> 3 + * BigDecimal('8.7').truncate #=> 8 + * BigDecimal('-9.9').truncate #=> -9 + * + * If n is specified and positive, the fractional part of the result has no + * more than that many digits. + * + * If n is specified and negative, at least that many digits to the left of the + * decimal point will be 0 in the result. + * + * BigDecimal('3.14159').truncate(3) #=> 3.141 + * BigDecimal('13345.234').truncate(-2) #=> 13300.0 + */ +static VALUE +BigDecimal_truncate(int argc, VALUE *argv, VALUE self) +{ + ENTER(5); + Real *c, *a; + int iLoc; + VALUE vLoc; + size_t mx, pl = VpSetPrecLimit(0); + + if (rb_scan_args(argc, argv, "01", &vLoc) == 0) { + iLoc = 0; + } + else { + iLoc = NUM2INT(vLoc); + } + + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec * (VpBaseFig() + 1); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpSetPrecLimit(pl); + VpActiveRound(c, a, VP_ROUND_DOWN, iLoc); /* 0: truncate */ + if (argc == 0) { + return BigDecimal_to_i(VpCheckGetValue(c)); + } + return VpCheckGetValue(c); +} + +/* Return the fractional part of the number, as a BigDecimal. + */ +static VALUE +BigDecimal_frac(VALUE self) +{ + ENTER(5); + Real *c, *a; + size_t mx; + + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec * (VpBaseFig() + 1); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpFrac(c, a); + return VpCheckGetValue(c); +} + +/* call-seq: + * floor(n) + * + * Return the largest integer less than or equal to the value, as a BigDecimal. + * + * BigDecimal('3.14159').floor #=> 3 + * BigDecimal('-9.1').floor #=> -10 + * + * If n is specified and positive, the fractional part of the result has no + * more than that many digits. + * + * If n is specified and negative, at least that + * many digits to the left of the decimal point will be 0 in the result. + * + * BigDecimal('3.14159').floor(3) #=> 3.141 + * BigDecimal('13345.234').floor(-2) #=> 13300.0 + */ +static VALUE +BigDecimal_floor(int argc, VALUE *argv, VALUE self) +{ + ENTER(5); + Real *c, *a; + int iLoc; + VALUE vLoc; + size_t mx, pl = VpSetPrecLimit(0); + + if (rb_scan_args(argc, argv, "01", &vLoc)==0) { + iLoc = 0; + } + else { + iLoc = NUM2INT(vLoc); + } + + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec * (VpBaseFig() + 1); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpSetPrecLimit(pl); + VpActiveRound(c, a, VP_ROUND_FLOOR, iLoc); +#ifdef BIGDECIMAL_DEBUG + VPrint(stderr, "floor: c=%\n", c); +#endif + if (argc == 0) { + return BigDecimal_to_i(VpCheckGetValue(c)); + } + return VpCheckGetValue(c); +} + +/* call-seq: + * ceil(n) + * + * Return the smallest integer greater than or equal to the value, as a BigDecimal. + * + * BigDecimal('3.14159').ceil #=> 4 + * BigDecimal('-9.1').ceil #=> -9 + * + * If n is specified and positive, the fractional part of the result has no + * more than that many digits. + * + * If n is specified and negative, at least that + * many digits to the left of the decimal point will be 0 in the result. + * + * BigDecimal('3.14159').ceil(3) #=> 3.142 + * BigDecimal('13345.234').ceil(-2) #=> 13400.0 + */ +static VALUE +BigDecimal_ceil(int argc, VALUE *argv, VALUE self) +{ + ENTER(5); + Real *c, *a; + int iLoc; + VALUE vLoc; + size_t mx, pl = VpSetPrecLimit(0); + + if (rb_scan_args(argc, argv, "01", &vLoc) == 0) { + iLoc = 0; + } else { + iLoc = NUM2INT(vLoc); + } + + GUARD_OBJ(a, GetVpValue(self, 1)); + mx = a->Prec * (VpBaseFig() + 1); + GUARD_OBJ(c, NewZeroWrapLimited(1, mx)); + VpSetPrecLimit(pl); + VpActiveRound(c, a, VP_ROUND_CEIL, iLoc); + if (argc == 0) { + return BigDecimal_to_i(VpCheckGetValue(c)); + } + return VpCheckGetValue(c); +} + +/* call-seq: + * to_s(s) + * + * Converts the value to a string. + * + * The default format looks like 0.xxxxEnn. + * + * The optional parameter s consists of either an integer; or an optional '+' + * or ' ', followed by an optional number, followed by an optional 'E' or 'F'. + * + * If there is a '+' at the start of s, positive values are returned with + * a leading '+'. + * + * A space at the start of s returns positive values with a leading space. + * + * If s contains a number, a space is inserted after each group of that many + * digits, starting from '.' and counting outwards. + * + * If s ends with an 'E', engineering notation (0.xxxxEnn) is used. + * + * If s ends with an 'F', conventional floating point notation is used. + * + * Examples: + * + * BigDecimal('-1234567890123.45678901234567890').to_s('5F') + * #=> '-123 45678 90123.45678 90123 45678 9' + * + * BigDecimal('1234567890123.45678901234567890').to_s('+8F') + * #=> '+12345 67890123.45678901 23456789' + * + * BigDecimal('1234567890123.45678901234567890').to_s(' F') + * #=> ' 1234567890123.4567890123456789' + */ +static VALUE +BigDecimal_to_s(int argc, VALUE *argv, VALUE self) +{ + ENTER(5); + int fmt = 0; /* 0: E format, 1: F format */ + int fPlus = 0; /* 0: default, 1: set ' ' before digits, 2: set '+' before digits. */ + Real *vp; + volatile VALUE str; + char *psz; + char ch; + size_t nc, mc = 0; + SIGNED_VALUE m; + VALUE f; + + GUARD_OBJ(vp, GetVpValue(self, 1)); + + if (rb_scan_args(argc, argv, "01", &f) == 1) { + if (RB_TYPE_P(f, T_STRING)) { + psz = StringValueCStr(f); + if (*psz == ' ') { + fPlus = 1; + psz++; + } + else if (*psz == '+') { + fPlus = 2; + psz++; + } + while ((ch = *psz++) != 0) { + if (ISSPACE(ch)) { + continue; + } + if (!ISDIGIT(ch)) { + if (ch == 'F' || ch == 'f') { + fmt = 1; /* F format */ + } + break; + } + mc = mc*10 + ch - '0'; + } + } + else { + m = NUM2INT(f); + if (m <= 0) { + rb_raise(rb_eArgError, "argument must be positive"); + } + mc = (size_t)m; + } + } + if (fmt) { + nc = VpNumOfChars(vp, "F"); + } + else { + nc = VpNumOfChars(vp, "E"); + } + if (mc > 0) { + nc += (nc + mc - 1) / mc + 1; + } + + str = rb_usascii_str_new(0, nc); + psz = RSTRING_PTR(str); + + if (fmt) { + VpToFString(vp, psz, RSTRING_LEN(str), mc, fPlus); + } + else { + VpToString (vp, psz, RSTRING_LEN(str), mc, fPlus); + } + rb_str_resize(str, strlen(psz)); + return str; +} + +/* Splits a BigDecimal number into four parts, returned as an array of values. + * + * The first value represents the sign of the BigDecimal, and is -1 or 1, or 0 + * if the BigDecimal is Not a Number. + * + * The second value is a string representing the significant digits of the + * BigDecimal, with no leading zeros. + * + * The third value is the base used for arithmetic (currently always 10) as an + * Integer. + * + * The fourth value is an Integer exponent. + * + * If the BigDecimal can be represented as 0.xxxxxx*10**n, then xxxxxx is the + * string of significant digits with no leading zeros, and n is the exponent. + * + * From these values, you can translate a BigDecimal to a float as follows: + * + * sign, significant_digits, base, exponent = a.split + * f = sign * "0.#{significant_digits}".to_f * (base ** exponent) + * + * (Note that the to_f method is provided as a more convenient way to translate + * a BigDecimal to a Float.) + */ +static VALUE +BigDecimal_split(VALUE self) +{ + ENTER(5); + Real *vp; + VALUE obj,str; + ssize_t e, s; + char *psz1; + + GUARD_OBJ(vp, GetVpValue(self, 1)); + str = rb_str_new(0, VpNumOfChars(vp, "E")); + psz1 = RSTRING_PTR(str); + VpSzMantissa(vp, psz1, RSTRING_LEN(str)); + s = 1; + if(psz1[0] == '-') { + size_t len = strlen(psz1 + 1); + + memmove(psz1, psz1 + 1, len); + psz1[len] = '\0'; + s = -1; + } + if (psz1[0] == 'N') s = 0; /* NaN */ + e = VpExponent10(vp); + obj = rb_ary_new2(4); + rb_ary_push(obj, INT2FIX(s)); + rb_ary_push(obj, str); + rb_str_resize(str, strlen(psz1)); + rb_ary_push(obj, INT2FIX(10)); + rb_ary_push(obj, SSIZET2NUM(e)); + return obj; +} + +/* Returns the exponent of the BigDecimal number, as an Integer. + * + * If the number can be represented as 0.xxxxxx*10**n where xxxxxx is a string + * of digits with no leading zeros, then n is the exponent. + */ +static VALUE +BigDecimal_exponent(VALUE self) +{ + ssize_t e = VpExponent10(GetVpValue(self, 1)); + return SSIZET2NUM(e); +} + +/* Returns a string representation of self. + * + * BigDecimal("1234.5678").inspect + * #=> "0.12345678e4" + */ +static VALUE +BigDecimal_inspect(VALUE self) +{ + ENTER(5); + Real *vp; + volatile VALUE str; + size_t nc; + + GUARD_OBJ(vp, GetVpValue(self, 1)); + nc = VpNumOfChars(vp, "E"); + + str = rb_str_new(0, nc); + VpToString(vp, RSTRING_PTR(str), RSTRING_LEN(str), 0, 0); + rb_str_resize(str, strlen(RSTRING_PTR(str))); + return str; +} + +static VALUE BigMath_s_exp(VALUE, VALUE, VALUE); +static VALUE BigMath_s_log(VALUE, VALUE, VALUE); + +#define BigMath_exp(x, n) BigMath_s_exp(rb_mBigMath, (x), (n)) +#define BigMath_log(x, n) BigMath_s_log(rb_mBigMath, (x), (n)) + +inline static int +is_integer(VALUE x) +{ + return (RB_TYPE_P(x, T_FIXNUM) || RB_TYPE_P(x, T_BIGNUM)); +} + +inline static int +is_negative(VALUE x) +{ + if (FIXNUM_P(x)) { + return FIX2LONG(x) < 0; + } + else if (RB_TYPE_P(x, T_BIGNUM)) { + return FIX2INT(rb_big_cmp(x, INT2FIX(0))) < 0; + } + else if (RB_TYPE_P(x, T_FLOAT)) { + return RFLOAT_VALUE(x) < 0.0; + } + return RTEST(rb_funcall(x, '<', 1, INT2FIX(0))); +} + +#define is_positive(x) (!is_negative(x)) + +inline static int +is_zero(VALUE x) +{ + VALUE num; + + switch (TYPE(x)) { + case T_FIXNUM: + return FIX2LONG(x) == 0; + + case T_BIGNUM: + return Qfalse; + + case T_RATIONAL: + num = rb_rational_num(x); + return FIXNUM_P(num) && FIX2LONG(num) == 0; + + default: + break; + } + + return RTEST(rb_funcall(x, id_eq, 1, INT2FIX(0))); +} + +inline static int +is_one(VALUE x) +{ + VALUE num, den; + + switch (TYPE(x)) { + case T_FIXNUM: + return FIX2LONG(x) == 1; + + case T_BIGNUM: + return Qfalse; + + case T_RATIONAL: + num = rb_rational_num(x); + den = rb_rational_den(x); + return FIXNUM_P(den) && FIX2LONG(den) == 1 && + FIXNUM_P(num) && FIX2LONG(num) == 1; + + default: + break; + } + + return RTEST(rb_funcall(x, id_eq, 1, INT2FIX(1))); +} + +inline static int +is_even(VALUE x) +{ + switch (TYPE(x)) { + case T_FIXNUM: + return (FIX2LONG(x) % 2) == 0; + + case T_BIGNUM: + { + unsigned long l; + rb_big_pack(x, &l, 1); + return l % 2 == 0; + } + + default: + break; + } + + return 0; +} + +static VALUE +bigdecimal_power_by_bigdecimal(Real const* x, Real const* exp, ssize_t const n) +{ + VALUE log_x, multiplied, y; + volatile VALUE obj = exp->obj; + + if (VpIsZero(exp)) { + return VpCheckGetValue(NewOneWrapLimited(1, n)); + } + + log_x = BigMath_log(x->obj, SSIZET2NUM(n+1)); + multiplied = BigDecimal_mult2(exp->obj, log_x, SSIZET2NUM(n+1)); + y = BigMath_exp(multiplied, SSIZET2NUM(n)); + RB_GC_GUARD(obj); + + return y; +} + +/* call-seq: + * power(n) + * power(n, prec) + * + * Returns the value raised to the power of n. + * + * Note that n must be an Integer. + * + * Also available as the operator **. + */ +static VALUE +BigDecimal_power(int argc, VALUE*argv, VALUE self) +{ + ENTER(5); + VALUE vexp, prec; + Real* exp = NULL; + Real *x, *y; + ssize_t mp, ma, n; + SIGNED_VALUE int_exp; + double d; + + rb_scan_args(argc, argv, "11", &vexp, &prec); + + GUARD_OBJ(x, GetVpValue(self, 1)); + n = NIL_P(prec) ? (ssize_t)(x->Prec*VpBaseFig()) : NUM2SSIZET(prec); + + if (VpIsNaN(x)) { + y = NewZeroWrapLimited(1, n); + VpSetNaN(y); + RB_GC_GUARD(y->obj); + return VpCheckGetValue(y); + } + + retry: + switch (TYPE(vexp)) { + case T_FIXNUM: + break; + + case T_BIGNUM: + break; + + case T_FLOAT: + d = RFLOAT_VALUE(vexp); + if (d == round(d)) { + if (FIXABLE(d)) { + vexp = LONG2FIX((long)d); + } + else { + vexp = rb_dbl2big(d); + } + goto retry; + } + if (NIL_P(prec)) { + n += BIGDECIMAL_DOUBLE_FIGURES; + } + exp = GetVpValueWithPrec(vexp, 0, 1); + break; + + case T_RATIONAL: + if (is_zero(rb_rational_num(vexp))) { + if (is_positive(vexp)) { + vexp = INT2FIX(0); + goto retry; + } + } + else if (is_one(rb_rational_den(vexp))) { + vexp = rb_rational_num(vexp); + goto retry; + } + exp = GetVpValueWithPrec(vexp, n, 1); + if (NIL_P(prec)) { + n += n; + } + break; + + case T_DATA: + if (is_kind_of_BigDecimal(vexp)) { + VALUE zero = INT2FIX(0); + VALUE rounded = BigDecimal_round(1, &zero, vexp); + if (RTEST(BigDecimal_eq(vexp, rounded))) { + vexp = BigDecimal_to_i(vexp); + goto retry; + } + if (NIL_P(prec)) { + GUARD_OBJ(y, GetVpValue(vexp, 1)); + n += y->Prec*VpBaseFig(); + } + exp = DATA_PTR(vexp); + break; + } + /* fall through */ + default: + rb_raise(rb_eTypeError, + "wrong argument type %"PRIsVALUE" (expected scalar Numeric)", + RB_OBJ_CLASSNAME(vexp)); + } + + if (VpIsZero(x)) { + if (is_negative(vexp)) { + y = NewZeroWrapNolimit(1, n); + if (BIGDECIMAL_NEGATIVE_P(x)) { + if (is_integer(vexp)) { + if (is_even(vexp)) { + /* (-0) ** (-even_integer) -> Infinity */ + VpSetPosInf(y); + } + else { + /* (-0) ** (-odd_integer) -> -Infinity */ + VpSetNegInf(y); + } + } + else { + /* (-0) ** (-non_integer) -> Infinity */ + VpSetPosInf(y); + } + } + else { + /* (+0) ** (-num) -> Infinity */ + VpSetPosInf(y); + } + RB_GC_GUARD(y->obj); + return VpCheckGetValue(y); + } + else if (is_zero(vexp)) { + return VpCheckGetValue(NewOneWrapLimited(1, n)); + } + else { + return VpCheckGetValue(NewZeroWrapLimited(1, n)); + } + } + + if (is_zero(vexp)) { + return VpCheckGetValue(NewOneWrapLimited(1, n)); + } + else if (is_one(vexp)) { + return self; + } + + if (VpIsInf(x)) { + if (is_negative(vexp)) { + if (BIGDECIMAL_NEGATIVE_P(x)) { + if (is_integer(vexp)) { + if (is_even(vexp)) { + /* (-Infinity) ** (-even_integer) -> +0 */ + return VpCheckGetValue(NewZeroWrapLimited(1, n)); + } + else { + /* (-Infinity) ** (-odd_integer) -> -0 */ + return VpCheckGetValue(NewZeroWrapLimited(-1, n)); + } + } + else { + /* (-Infinity) ** (-non_integer) -> -0 */ + return VpCheckGetValue(NewZeroWrapLimited(-1, n)); + } + } + else { + return VpCheckGetValue(NewZeroWrapLimited(1, n)); + } + } + else { + y = NewZeroWrapLimited(1, n); + if (BIGDECIMAL_NEGATIVE_P(x)) { + if (is_integer(vexp)) { + if (is_even(vexp)) { + VpSetPosInf(y); + } + else { + VpSetNegInf(y); + } + } + else { + /* TODO: support complex */ + rb_raise(rb_eMathDomainError, + "a non-integral exponent for a negative base"); + } + } + else { + VpSetPosInf(y); + } + return VpCheckGetValue(y); + } + } + + if (exp != NULL) { + return bigdecimal_power_by_bigdecimal(x, exp, n); + } + else if (RB_TYPE_P(vexp, T_BIGNUM)) { + VALUE abs_value = BigDecimal_abs(self); + if (is_one(abs_value)) { + return VpCheckGetValue(NewOneWrapLimited(1, n)); + } + else if (RTEST(rb_funcall(abs_value, '<', 1, INT2FIX(1)))) { + if (is_negative(vexp)) { + y = NewZeroWrapLimited(1, n); + VpSetInf(y, (is_even(vexp) ? 1 : -1) * VpGetSign(x)); + return VpCheckGetValue(y); + } + else if (BIGDECIMAL_NEGATIVE_P(x) && is_even(vexp)) { + return VpCheckGetValue(NewZeroWrapLimited(-1, n)); + } + else { + return VpCheckGetValue(NewZeroWrapLimited(1, n)); + } + } + else { + if (is_positive(vexp)) { + y = NewZeroWrapLimited(1, n); + VpSetInf(y, (is_even(vexp) ? 1 : -1) * VpGetSign(x)); + return VpCheckGetValue(y); + } + else if (BIGDECIMAL_NEGATIVE_P(x) && is_even(vexp)) { + return VpCheckGetValue(NewZeroWrapLimited(-1, n)); + } + else { + return VpCheckGetValue(NewZeroWrapLimited(1, n)); + } + } + } + + int_exp = FIX2LONG(vexp); + ma = int_exp; + if (ma < 0) ma = -ma; + if (ma == 0) ma = 1; + + if (VpIsDef(x)) { + mp = x->Prec * (VpBaseFig() + 1); + GUARD_OBJ(y, NewZeroWrapLimited(1, mp * (ma + 1))); + } + else { + GUARD_OBJ(y, NewZeroWrapLimited(1, 1)); + } + VpPowerByInt(y, x, int_exp); + if (!NIL_P(prec) && VpIsDef(y)) { + VpMidRound(y, VpGetRoundMode(), n); + } + return VpCheckGetValue(y); +} + +/* call-seq: + * self ** other -> bigdecimal + * + * Returns the \BigDecimal value of +self+ raised to power +other+: + * + * b = BigDecimal('3.14') + * b ** 2 # => 0.98596e1 + * b ** 2.0 # => 0.98596e1 + * b ** Rational(2, 1) # => 0.98596e1 + * + * Related: BigDecimal#power. + * + */ +static VALUE +BigDecimal_power_op(VALUE self, VALUE exp) +{ + return BigDecimal_power(1, &exp, self); +} + +/* :nodoc: + * + * private method for dup and clone the provided BigDecimal +other+ + */ +static VALUE +BigDecimal_initialize_copy(VALUE self, VALUE other) +{ + Real *pv = rb_check_typeddata(self, &BigDecimal_data_type); + Real *x = rb_check_typeddata(other, &BigDecimal_data_type); + + if (self != other) { + DATA_PTR(self) = VpCopy(pv, x); + } + return self; +} + +/* :nodoc: */ +static VALUE +BigDecimal_clone(VALUE self) +{ + return self; +} + +#ifdef HAVE_RB_OPTS_EXCEPTION_P +int rb_opts_exception_p(VALUE opts, int default_value); +#define opts_exception_p(opts) rb_opts_exception_p((opts), 1) +#else +static int +opts_exception_p(VALUE opts) +{ + static ID kwds[1]; + VALUE exception; + if (!kwds[0]) { + kwds[0] = rb_intern_const("exception"); + } + if (!rb_get_kwargs(opts, kwds, 0, 1, &exception)) return 1; + switch (exception) { + case Qtrue: case Qfalse: + break; + default: + rb_raise(rb_eArgError, "true or false is expected as exception: %+"PRIsVALUE, + exception); + } + return exception != Qfalse; +} +#endif + +static VALUE +check_exception(VALUE bd) +{ + assert(is_kind_of_BigDecimal(bd)); + + Real *vp; + TypedData_Get_Struct(bd, Real, &BigDecimal_data_type, vp); + VpCheckGetValue(vp); /* VpCheckGetValue performs exception check */ + + return bd; +} + +static VALUE +rb_uint64_convert_to_BigDecimal(uint64_t uval, RB_UNUSED_VAR(size_t digs), int raise_exception) +{ + VALUE obj = TypedData_Wrap_Struct(rb_cBigDecimal, &BigDecimal_data_type, 0); + + Real *vp; + if (uval == 0) { + vp = rbd_allocate_struct(1); + vp->MaxPrec = 1; + vp->Prec = 1; + vp->exponent = 1; + VpSetZero(vp, 1); + vp->frac[0] = 0; + } + else if (uval < BASE) { + vp = rbd_allocate_struct(1); + vp->MaxPrec = 1; + vp->Prec = 1; + vp->exponent = 1; + VpSetSign(vp, 1); + vp->frac[0] = (DECDIG)uval; + } + else { + DECDIG buf[BIGDECIMAL_INT64_MAX_LENGTH] = {0,}; + DECDIG r = uval % BASE; + size_t len = 0, ntz = 0; + if (r == 0) { + // Count and skip trailing zeros + for (; r == 0 && uval > 0; ++ntz) { + uval /= BASE; + r = uval % BASE; + } + } + for (; uval > 0; ++len) { + // Store digits + buf[BIGDECIMAL_INT64_MAX_LENGTH - len - 1] = r; + uval /= BASE; + r = uval % BASE; + } + + const size_t exp = len + ntz; + vp = rbd_allocate_struct(len); + vp->MaxPrec = len; + vp->Prec = len; + vp->exponent = exp; + VpSetSign(vp, 1); + MEMCPY(vp->frac, buf + BIGDECIMAL_INT64_MAX_LENGTH - len, DECDIG, len); + } + + return BigDecimal_wrap_struct(obj, vp); +} + +static VALUE +rb_int64_convert_to_BigDecimal(int64_t ival, size_t digs, int raise_exception) +{ + const uint64_t uval = (ival < 0) ? (((uint64_t)-(ival+1))+1) : (uint64_t)ival; + VALUE bd = rb_uint64_convert_to_BigDecimal(uval, digs, raise_exception); + if (ival < 0) { + Real *vp; + TypedData_Get_Struct(bd, Real, &BigDecimal_data_type, vp); + VpSetSign(vp, -1); + } + return bd; +} + +static VALUE +rb_big_convert_to_BigDecimal(VALUE val, RB_UNUSED_VAR(size_t digs), int raise_exception) +{ + assert(RB_TYPE_P(val, T_BIGNUM)); + + int leading_zeros; + size_t size = rb_absint_size(val, &leading_zeros); + int sign = FIX2INT(rb_big_cmp(val, INT2FIX(0))); + if (sign < 0 && leading_zeros == 0) { + size += 1; + } + if (size <= sizeof(long)) { + if (sign < 0) { + return rb_int64_convert_to_BigDecimal(NUM2LONG(val), digs, raise_exception); + } + else { + return rb_uint64_convert_to_BigDecimal(NUM2ULONG(val), digs, raise_exception); + } + } +#if defined(SIZEOF_LONG_LONG) && SIZEOF_LONG < SIZEOF_LONG_LONG + else if (size <= sizeof(LONG_LONG)) { + if (sign < 0) { + return rb_int64_convert_to_BigDecimal(NUM2LL(val), digs, raise_exception); + } + else { + return rb_uint64_convert_to_BigDecimal(NUM2ULL(val), digs, raise_exception); + } + } +#endif + else { + VALUE str = rb_big2str(val, 10); + Real *vp = VpCreateRbObject(RSTRING_LEN(str) + BASE_FIG + 1, + RSTRING_PTR(str), true); + RB_GC_GUARD(str); + return check_exception(vp->obj); + } +} + +static VALUE +rb_inum_convert_to_BigDecimal(VALUE val, RB_UNUSED_VAR(size_t digs), int raise_exception) +{ + assert(RB_INTEGER_TYPE_P(val)); + if (FIXNUM_P(val)) { + return rb_int64_convert_to_BigDecimal(FIX2LONG(val), digs, raise_exception); + } + else { + return rb_big_convert_to_BigDecimal(val, digs, raise_exception); + } +} + +static VALUE +rb_float_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception) +{ + assert(RB_FLOAT_TYPE_P(val)); + + double d = RFLOAT_VALUE(val); + + if (isnan(d)) { + VALUE obj = BigDecimal_nan(); + return check_exception(obj); + } + else if (isinf(d)) { + VALUE obj; + if (d > 0) { + obj = BigDecimal_positive_infinity(); + } + else { + obj = BigDecimal_negative_infinity(); + } + return check_exception(obj); + } + else if (d == 0.0) { + if (1/d < 0.0) { + return BigDecimal_negative_zero(); + } + else { + return BigDecimal_positive_zero(); + } + } + + if (digs == SIZE_MAX) { + if (!raise_exception) + return Qnil; + rb_raise(rb_eArgError, + "can't omit precision for a %"PRIsVALUE".", + CLASS_OF(val)); + } + else if (digs > BIGDECIMAL_DOUBLE_FIGURES) { + if (!raise_exception) + return Qnil; + rb_raise(rb_eArgError, "precision too large."); + } + + /* Use the same logic in flo_to_s to convert a float to a decimal string */ + char buf[BIGDECIMAL_DOUBLE_FIGURES + BASE_FIG + 2 + 1]; /* sizeof(buf) == 28 in the typical case */ + int decpt, negative_p; + char *e; + const int mode = digs == 0 ? 0 : 2; + char *p = BigDecimal_dtoa(d, mode, (int)digs, &decpt, &negative_p, &e); + int len10 = (int)(e - p); + if (len10 > BIGDECIMAL_DOUBLE_FIGURES) { + /* TODO: Presumably, rounding should be done here. */ + len10 = BIGDECIMAL_DOUBLE_FIGURES; + } + memcpy(buf, p, len10); + xfree(p); + + VALUE inum; + size_t RB_UNUSED_VAR(prec) = 0; + SIGNED_VALUE exp = 0; + if (decpt > 0) { + if (decpt < len10) { + /* + * len10 |---------------| + * : |-------| frac_len10 = len10 - decpt + * decpt |-------| |--| ntz10 = BASE_FIG - frac_len10 % BASE_FIG + * : : : + * 00 dd dddd.dddd dd 00 + * prec |-----.----.----.-----| prec = exp + roomof(frac_len, BASE_FIG) + * exp |-----.----| exp = roomof(decpt, BASE_FIG) + */ + const size_t frac_len10 = len10 - decpt; + const size_t ntz10 = BASE_FIG - frac_len10 % BASE_FIG; + memset(buf + len10, '0', ntz10); + buf[len10 + ntz10] = '\0'; + inum = rb_cstr_to_inum(buf, 10, false); + + exp = roomof(decpt, BASE_FIG); + prec = exp + roomof(frac_len10, BASE_FIG); + } + else { + /* + * decpt |-----------------------| + * len10 |----------| : + * : |------------| exp10 + * : : : + * 00 dd dddd dd 00 0000 0000.0 + * : : : : + * : |--| ntz10 = exp10 % BASE_FIG + * prec |-----.----.-----| : + * : |----.----| exp10 / BASE_FIG + * exp |-----.----.-----.----.----| + */ + const size_t exp10 = decpt - len10; + const size_t ntz10 = exp10 % BASE_FIG; + + memset(buf + len10, '0', ntz10); + buf[len10 + ntz10] = '\0'; + inum = rb_cstr_to_inum(buf, 10, false); + + prec = roomof(len10 + ntz10, BASE_FIG); + exp = prec + exp10 / BASE_FIG; + } + } + else if (decpt == 0) { + /* + * len10 |------------| + * : : + * 0.dddd dddd dd 00 + * : : : + * : |--| ntz10 = prec * BASE_FIG - len10 + * prec |----.----.-----| roomof(len10, BASE_FIG) + */ + prec = roomof(len10, BASE_FIG); + const size_t ntz10 = prec * BASE_FIG - len10; + + memset(buf + len10, '0', ntz10); + buf[len10 + ntz10] = '\0'; + inum = rb_cstr_to_inum(buf, 10, false); + } + else { + /* + * len10 |---------------| + * : : + * decpt |-------| |--| ntz10 = prec * BASE_FIG - nlz10 - len10 + * : : : + * 0.0000 00 dd dddd dddd dd 00 + * : : : + * nlz10 |--| : decpt % BASE_FIG + * prec |-----.----.----.-----| roomof(decpt + len10, BASE_FIG) - exp + * exp |----| decpt / BASE_FIG + */ + decpt = -decpt; + + const size_t nlz10 = decpt % BASE_FIG; + exp = decpt / BASE_FIG; + prec = roomof(decpt + len10, BASE_FIG) - exp; + const size_t ntz10 = prec * BASE_FIG - nlz10 - len10; + + if (nlz10 > 0) { + memmove(buf + nlz10, buf, len10); + memset(buf, '0', nlz10); + } + memset(buf + nlz10 + len10, '0', ntz10); + buf[nlz10 + len10 + ntz10] = '\0'; + inum = rb_cstr_to_inum(buf, 10, false); + + exp = -exp; + } + + VALUE bd = rb_inum_convert_to_BigDecimal(inum, SIZE_MAX, raise_exception); + Real *vp; + TypedData_Get_Struct(bd, Real, &BigDecimal_data_type, vp); + assert(vp->Prec == prec); + vp->exponent = exp; + + if (negative_p) VpSetSign(vp, -1); + return bd; +} + +static VALUE +rb_rational_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception) +{ + assert(RB_TYPE_P(val, T_RATIONAL)); + + if (digs == SIZE_MAX) { + if (!raise_exception) + return Qnil; + rb_raise(rb_eArgError, + "can't omit precision for a %"PRIsVALUE".", + CLASS_OF(val)); + } + + VALUE num = rb_inum_convert_to_BigDecimal(rb_rational_num(val), 0, raise_exception); + VALUE d = BigDecimal_div2(num, rb_rational_den(val), SIZET2NUM(digs)); + return d; +} + +static VALUE +rb_cstr_convert_to_BigDecimal(const char *c_str, size_t digs, int raise_exception) +{ + if (digs == SIZE_MAX) + digs = 0; + + Real *vp = VpCreateRbObject(digs, c_str, raise_exception); + if (!vp) + return Qnil; + return VpCheckGetValue(vp); +} + +static inline VALUE +rb_str_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception) +{ + const char *c_str = StringValueCStr(val); + return rb_cstr_convert_to_BigDecimal(c_str, digs, raise_exception); +} + +static VALUE +rb_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception) +{ + switch (val) { + case Qnil: + case Qtrue: + case Qfalse: + if (raise_exception) { + const char *cname = NIL_P(val) ? "nil" : + val == Qtrue ? "true" : + val == Qfalse ? "false" : + NULL; + rb_raise(rb_eTypeError, + "can't convert %s into BigDecimal", cname); + } + return Qnil; + + default: + break; + } + + if (is_kind_of_BigDecimal(val)) { + if (digs == SIZE_MAX) + return check_exception(val); + + Real *vp; + TypedData_Get_Struct(val, Real, &BigDecimal_data_type, vp); + + VALUE copy = TypedData_Wrap_Struct(rb_cBigDecimal, &BigDecimal_data_type, 0); + vp = VpCopy(NULL, vp); + /* TODO: rounding */ + BigDecimal_wrap_struct(copy, vp); + return VpCheckGetValue(vp); + } + else if (RB_INTEGER_TYPE_P(val)) { + return rb_inum_convert_to_BigDecimal(val, digs, raise_exception); + } + else if (RB_FLOAT_TYPE_P(val)) { + return rb_float_convert_to_BigDecimal(val, digs, raise_exception); + } + else if (RB_TYPE_P(val, T_RATIONAL)) { + return rb_rational_convert_to_BigDecimal(val, digs, raise_exception); + } + else if (RB_TYPE_P(val, T_COMPLEX)) { + VALUE im = rb_complex_imag(val); + if (!is_zero(im)) { + /* TODO: handle raise_exception */ + rb_raise(rb_eArgError, + "Unable to make a BigDecimal from non-zero imaginary number"); + } + return rb_convert_to_BigDecimal(rb_complex_real(val), digs, raise_exception); + } + else if (RB_TYPE_P(val, T_STRING)) { + return rb_str_convert_to_BigDecimal(val, digs, raise_exception); + } + + /* TODO: chheck to_d */ + /* TODO: chheck to_int */ + + VALUE str = rb_check_convert_type(val, T_STRING, "String", "to_str"); + if (!RB_TYPE_P(str, T_STRING)) { + if (raise_exception) { + rb_raise(rb_eTypeError, + "can't convert %"PRIsVALUE" into BigDecimal", rb_obj_class(val)); + } + return Qnil; + } + return rb_str_convert_to_BigDecimal(str, digs, raise_exception); +} + +/* call-seq: + * BigDecimal(value, exception: true) -> bigdecimal + * BigDecimal(value, ndigits, exception: true) -> bigdecimal + * + * Returns the \BigDecimal converted from +value+ + * with a precision of +ndigits+ decimal digits. + * + * When +ndigits+ is less than the number of significant digits + * in the value, the result is rounded to that number of digits, + * according to the current rounding mode; see BigDecimal.mode. + * + * When +ndigits+ is 0, the number of digits to correctly represent a float number + * is determined automatically. + * + * Returns +value+ converted to a \BigDecimal, depending on the type of +value+: + * + * - Integer, Float, Rational, Complex, or BigDecimal: converted directly: + * + * # Integer, Complex, or BigDecimal value does not require ndigits; ignored if given. + * BigDecimal(2) # => 0.2e1 + * BigDecimal(Complex(2, 0)) # => 0.2e1 + * BigDecimal(BigDecimal(2)) # => 0.2e1 + * # Float or Rational value requires ndigits. + * BigDecimal(2.0, 0) # => 0.2e1 + * BigDecimal(Rational(2, 1), 0) # => 0.2e1 + * + * - String: converted by parsing if it contains an integer or floating-point literal; + * leading and trailing whitespace is ignored: + * + * # String does not require ndigits; ignored if given. + * BigDecimal('2') # => 0.2e1 + * BigDecimal('2.0') # => 0.2e1 + * BigDecimal('0.2e1') # => 0.2e1 + * BigDecimal(' 2.0 ') # => 0.2e1 + * + * - Other type that responds to method <tt>:to_str</tt>: + * first converted to a string, then converted to a \BigDecimal, as above. + * + * - Other type: + * + * - Raises an exception if keyword argument +exception+ is +true+. + * - Returns +nil+ if keyword argument +exception+ is +false+. + * + * Raises an exception if +value+ evaluates to a Float + * and +digits+ is larger than Float::DIG + 1. + * + */ +static VALUE +f_BigDecimal(int argc, VALUE *argv, VALUE self) +{ + VALUE val, digs_v, opts = Qnil; + argc = rb_scan_args(argc, argv, "11:", &val, &digs_v, &opts); + int exception = opts_exception_p(opts); + + size_t digs = SIZE_MAX; /* this means digs is omitted */ + if (argc > 1) { + digs_v = rb_to_int(digs_v); + if (FIXNUM_P(digs_v)) { + long n = FIX2LONG(digs_v); + if (n < 0) + goto negative_digs; + digs = (size_t)n; + } + else { + if (RBIGNUM_NEGATIVE_P(digs_v)) { + negative_digs: + if (!exception) + return Qnil; + rb_raise(rb_eArgError, "negative precision"); + } + digs = NUM2SIZET(digs_v); + } + } + + return rb_convert_to_BigDecimal(val, digs, exception); +} + +/* call-seq: + * BigDecimal.interpret_loosely(string) -> bigdecimal + * + * Returns the +BigDecimal+ converted loosely from +string+. + */ + +static VALUE +BigDecimal_s_interpret_loosely(VALUE klass, VALUE str) +{ + char const *c_str = StringValueCStr(str); + Real *vp = VpNewRbClass(0, c_str, klass, false, true); + if (!vp) + return Qnil; + else + return VpCheckGetValue(vp); +} + + /* + * call-seq: + * BigDecimal.limit(digits) + * + * Limit the number of significant digits in newly created BigDecimal + * numbers to the specified value. Rounding is performed as necessary, + * as specified by BigDecimal.mode. + * + * A limit of 0, the default, means no upper limit. + * + * The limit specified by this method takes less priority over any limit + * specified to instance methods such as ceil, floor, truncate, or round. + */ +static VALUE +BigDecimal_limit(int argc, VALUE *argv, VALUE self) +{ + VALUE nFig; + VALUE nCur = SIZET2NUM(VpGetPrecLimit()); + + if (rb_scan_args(argc, argv, "01", &nFig) == 1) { + int nf; + if (NIL_P(nFig)) return nCur; + nf = NUM2INT(nFig); + if (nf < 0) { + rb_raise(rb_eArgError, "argument must be positive"); + } + VpSetPrecLimit(nf); + } + return nCur; +} + +/* Returns the sign of the value. + * + * Returns a positive value if > 0, a negative value if < 0. + * It behaves the same with zeros - + * it returns a positive value for a positive zero (BigDecimal('0')) and + * a negative value for a negative zero (BigDecimal('-0')). + * + * The specific value returned indicates the type and sign of the BigDecimal, + * as follows: + * + * BigDecimal::SIGN_NaN:: value is Not a Number + * BigDecimal::SIGN_POSITIVE_ZERO:: value is +0 + * BigDecimal::SIGN_NEGATIVE_ZERO:: value is -0 + * BigDecimal::SIGN_POSITIVE_INFINITE:: value is +Infinity + * BigDecimal::SIGN_NEGATIVE_INFINITE:: value is -Infinity + * BigDecimal::SIGN_POSITIVE_FINITE:: value is positive + * BigDecimal::SIGN_NEGATIVE_FINITE:: value is negative + */ +static VALUE +BigDecimal_sign(VALUE self) +{ /* sign */ + int s = GetVpValue(self, 1)->sign; + return INT2FIX(s); +} + +/* + * call-seq: BigDecimal.save_exception_mode { ... } + * + * Execute the provided block, but preserve the exception mode + * + * BigDecimal.save_exception_mode do + * BigDecimal.mode(BigDecimal::EXCEPTION_OVERFLOW, false) + * BigDecimal.mode(BigDecimal::EXCEPTION_NaN, false) + * + * BigDecimal(BigDecimal('Infinity')) + * BigDecimal(BigDecimal('-Infinity')) + * BigDecimal(BigDecimal('NaN')) + * end + * + * For use with the BigDecimal::EXCEPTION_* + * + * See BigDecimal.mode + */ +static VALUE +BigDecimal_save_exception_mode(VALUE self) +{ + unsigned short const exception_mode = VpGetException(); + int state; + VALUE ret = rb_protect(rb_yield, Qnil, &state); + VpSetException(exception_mode); + if (state) rb_jump_tag(state); + return ret; +} + +/* + * call-seq: BigDecimal.save_rounding_mode { ... } + * + * Execute the provided block, but preserve the rounding mode + * + * BigDecimal.save_rounding_mode do + * BigDecimal.mode(BigDecimal::ROUND_MODE, :up) + * puts BigDecimal.mode(BigDecimal::ROUND_MODE) + * end + * + * For use with the BigDecimal::ROUND_* + * + * See BigDecimal.mode + */ +static VALUE +BigDecimal_save_rounding_mode(VALUE self) +{ + unsigned short const round_mode = VpGetRoundMode(); + int state; + VALUE ret = rb_protect(rb_yield, Qnil, &state); + VpSetRoundMode(round_mode); + if (state) rb_jump_tag(state); + return ret; +} + +/* + * call-seq: BigDecimal.save_limit { ... } + * + * Execute the provided block, but preserve the precision limit + * + * BigDecimal.limit(100) + * puts BigDecimal.limit + * BigDecimal.save_limit do + * BigDecimal.limit(200) + * puts BigDecimal.limit + * end + * puts BigDecimal.limit + * + */ +static VALUE +BigDecimal_save_limit(VALUE self) +{ + size_t const limit = VpGetPrecLimit(); + int state; + VALUE ret = rb_protect(rb_yield, Qnil, &state); + VpSetPrecLimit(limit); + if (state) rb_jump_tag(state); + return ret; +} + +/* call-seq: + * BigMath.exp(decimal, numeric) -> BigDecimal + * + * Computes the value of e (the base of natural logarithms) raised to the + * power of +decimal+, to the specified number of digits of precision. + * + * If +decimal+ is infinity, returns Infinity. + * + * If +decimal+ is NaN, returns NaN. + */ +static VALUE +BigMath_s_exp(VALUE klass, VALUE x, VALUE vprec) +{ + ssize_t prec, n, i; + Real* vx = NULL; + VALUE one, d, y; + int negative = 0; + int infinite = 0; + int nan = 0; + double flo; + + prec = NUM2SSIZET(vprec); + if (prec <= 0) { + rb_raise(rb_eArgError, "Zero or negative precision for exp"); + } + + /* TODO: the following switch statement is almost same as one in the + * BigDecimalCmp function. */ + switch (TYPE(x)) { + case T_DATA: + if (!is_kind_of_BigDecimal(x)) break; + vx = DATA_PTR(x); + negative = BIGDECIMAL_NEGATIVE_P(vx); + infinite = VpIsPosInf(vx) || VpIsNegInf(vx); + nan = VpIsNaN(vx); + break; + + case T_FIXNUM: + /* fall through */ + case T_BIGNUM: + vx = GetVpValue(x, 0); + break; + + case T_FLOAT: + flo = RFLOAT_VALUE(x); + negative = flo < 0; + infinite = isinf(flo); + nan = isnan(flo); + if (!infinite && !nan) { + vx = GetVpValueWithPrec(x, 0, 0); + } + break; + + case T_RATIONAL: + vx = GetVpValueWithPrec(x, prec, 0); + break; + + default: + break; + } + if (infinite) { + if (negative) { + return VpCheckGetValue(GetVpValueWithPrec(INT2FIX(0), prec, 1)); + } + else { + Real* vy = NewZeroWrapNolimit(1, prec); + VpSetInf(vy, VP_SIGN_POSITIVE_INFINITE); + RB_GC_GUARD(vy->obj); + return VpCheckGetValue(vy); + } + } + else if (nan) { + Real* vy = NewZeroWrapNolimit(1, prec); + VpSetNaN(vy); + RB_GC_GUARD(vy->obj); + return VpCheckGetValue(vy); + } + else if (vx == NULL) { + cannot_be_coerced_into_BigDecimal(rb_eArgError, x); + } + x = vx->obj; + + n = prec + BIGDECIMAL_DOUBLE_FIGURES; + negative = BIGDECIMAL_NEGATIVE_P(vx); + if (negative) { + VALUE x_zero = INT2NUM(1); + VALUE x_copy = f_BigDecimal(1, &x_zero, klass); + x = BigDecimal_initialize_copy(x_copy, x); + vx = DATA_PTR(x); + VpSetSign(vx, 1); + } + + one = VpCheckGetValue(NewOneWrapLimited(1, 1)); + y = one; + d = y; + i = 1; + + while (!VpIsZero((Real*)DATA_PTR(d))) { + SIGNED_VALUE const ey = VpExponent10(DATA_PTR(y)); + SIGNED_VALUE const ed = VpExponent10(DATA_PTR(d)); + ssize_t m = n - vabs(ey - ed); + + rb_thread_check_ints(); + + if (m <= 0) { + break; + } + else if ((size_t)m < BIGDECIMAL_DOUBLE_FIGURES) { + m = BIGDECIMAL_DOUBLE_FIGURES; + } + + d = BigDecimal_mult(d, x); /* d <- d * x */ + d = BigDecimal_div2(d, SSIZET2NUM(i), SSIZET2NUM(m)); /* d <- d / i */ + y = BigDecimal_add(y, d); /* y <- y + d */ + ++i; /* i <- i + 1 */ + } + + if (negative) { + return BigDecimal_div2(one, y, vprec); + } + else { + vprec = SSIZET2NUM(prec - VpExponent10(DATA_PTR(y))); + return BigDecimal_round(1, &vprec, y); + } + + RB_GC_GUARD(one); + RB_GC_GUARD(x); + RB_GC_GUARD(y); + RB_GC_GUARD(d); +} + +/* call-seq: + * BigMath.log(decimal, numeric) -> BigDecimal + * + * Computes the natural logarithm of +decimal+ to the specified number of + * digits of precision, +numeric+. + * + * If +decimal+ is zero or negative, raises Math::DomainError. + * + * If +decimal+ is positive infinity, returns Infinity. + * + * If +decimal+ is NaN, returns NaN. + */ +static VALUE +BigMath_s_log(VALUE klass, VALUE x, VALUE vprec) +{ + ssize_t prec, n, i; + SIGNED_VALUE expo; + Real* vx = NULL; + VALUE vn, one, two, w, x2, y, d; + int zero = 0; + int negative = 0; + int infinite = 0; + int nan = 0; + double flo; + long fix; + + if (!is_integer(vprec)) { + rb_raise(rb_eArgError, "precision must be an Integer"); + } + + prec = NUM2SSIZET(vprec); + if (prec <= 0) { + rb_raise(rb_eArgError, "Zero or negative precision for exp"); + } + + /* TODO: the following switch statement is almost same as one in the + * BigDecimalCmp function. */ + switch (TYPE(x)) { + case T_DATA: + if (!is_kind_of_BigDecimal(x)) break; + vx = DATA_PTR(x); + zero = VpIsZero(vx); + negative = BIGDECIMAL_NEGATIVE_P(vx); + infinite = VpIsPosInf(vx) || VpIsNegInf(vx); + nan = VpIsNaN(vx); + break; + + case T_FIXNUM: + fix = FIX2LONG(x); + zero = fix == 0; + negative = fix < 0; + goto get_vp_value; + + case T_BIGNUM: + i = FIX2INT(rb_big_cmp(x, INT2FIX(0))); + zero = i == 0; + negative = i < 0; +get_vp_value: + if (zero || negative) break; + vx = GetVpValue(x, 0); + break; + + case T_FLOAT: + flo = RFLOAT_VALUE(x); + zero = flo == 0; + negative = flo < 0; + infinite = isinf(flo); + nan = isnan(flo); + if (!zero && !negative && !infinite && !nan) { + vx = GetVpValueWithPrec(x, 0, 1); + } + break; + + case T_RATIONAL: + zero = RRATIONAL_ZERO_P(x); + negative = RRATIONAL_NEGATIVE_P(x); + if (zero || negative) break; + vx = GetVpValueWithPrec(x, prec, 1); + break; + + case T_COMPLEX: + rb_raise(rb_eMathDomainError, + "Complex argument for BigMath.log"); + + default: + break; + } + if (infinite && !negative) { + Real *vy = NewZeroWrapNolimit(1, prec); + RB_GC_GUARD(vy->obj); + VpSetInf(vy, VP_SIGN_POSITIVE_INFINITE); + return VpCheckGetValue(vy); + } + else if (nan) { + Real* vy = NewZeroWrapNolimit(1, prec); + RB_GC_GUARD(vy->obj); + VpSetNaN(vy); + return VpCheckGetValue(vy); + } + else if (zero || negative) { + rb_raise(rb_eMathDomainError, + "Zero or negative argument for log"); + } + else if (vx == NULL) { + cannot_be_coerced_into_BigDecimal(rb_eArgError, x); + } + x = VpCheckGetValue(vx); + + one = VpCheckGetValue(NewOneWrapLimited(1, 1)); + two = VpCheckGetValue(VpCreateRbObject(1, "2", true)); + + n = prec + BIGDECIMAL_DOUBLE_FIGURES; + vn = SSIZET2NUM(n); + expo = VpExponent10(vx); + if (expo < 0 || expo >= 3) { + char buf[DECIMAL_SIZE_OF_BITS(SIZEOF_VALUE * CHAR_BIT) + 4]; + snprintf(buf, sizeof(buf), "1E%"PRIdVALUE, -expo); + x = BigDecimal_mult2(x, VpCheckGetValue(VpCreateRbObject(1, buf, true)), vn); + } + else { + expo = 0; + } + w = BigDecimal_sub(x, one); + x = BigDecimal_div2(w, BigDecimal_add(x, one), vn); + x2 = BigDecimal_mult2(x, x, vn); + y = x; + d = y; + i = 1; + while (!VpIsZero((Real*)DATA_PTR(d))) { + SIGNED_VALUE const ey = VpExponent10(DATA_PTR(y)); + SIGNED_VALUE const ed = VpExponent10(DATA_PTR(d)); + ssize_t m = n - vabs(ey - ed); + if (m <= 0) { + break; + } + else if ((size_t)m < BIGDECIMAL_DOUBLE_FIGURES) { + m = BIGDECIMAL_DOUBLE_FIGURES; + } + + x = BigDecimal_mult2(x2, x, vn); + i += 2; + d = BigDecimal_div2(x, SSIZET2NUM(i), SSIZET2NUM(m)); + y = BigDecimal_add(y, d); + } + + y = BigDecimal_mult(y, two); + if (expo != 0) { + VALUE log10, vexpo, dy; + log10 = BigMath_s_log(klass, INT2FIX(10), vprec); + vexpo = VpCheckGetValue(GetVpValue(SSIZET2NUM(expo), 1)); + dy = BigDecimal_mult(log10, vexpo); + y = BigDecimal_add(y, dy); + } + + RB_GC_GUARD(one); + RB_GC_GUARD(two); + RB_GC_GUARD(vn); + RB_GC_GUARD(x2); + RB_GC_GUARD(y); + RB_GC_GUARD(d); + + return y; +} + +static VALUE BIGDECIMAL_NAN = Qnil; + +static VALUE +BigDecimal_nan(void) +{ + return BIGDECIMAL_NAN; +} + +static VALUE BIGDECIMAL_POSITIVE_INFINITY = Qnil; + +static VALUE +BigDecimal_positive_infinity(void) +{ + return BIGDECIMAL_POSITIVE_INFINITY; +} + +static VALUE BIGDECIMAL_NEGATIVE_INFINITY = Qnil; + +static VALUE +BigDecimal_negative_infinity(void) +{ + return BIGDECIMAL_NEGATIVE_INFINITY; +} + +static VALUE BIGDECIMAL_POSITIVE_ZERO = Qnil; + +static VALUE +BigDecimal_positive_zero(void) +{ + return BIGDECIMAL_POSITIVE_ZERO; +} + +static VALUE BIGDECIMAL_NEGATIVE_ZERO = Qnil; + +static VALUE +BigDecimal_negative_zero(void) +{ + return BIGDECIMAL_NEGATIVE_ZERO; +} + +static inline VALUE +BigDecimal_literal(const char *str) +{ + VALUE arg = rb_str_new_cstr(str); + VALUE val = f_BigDecimal(1, &arg, rb_cBigDecimal); + rb_gc_register_mark_object(val); + return val; +} + +#define BIGDECIMAL_LITERAL(var, val) (BIGDECIMAL_ ## var = BigDecimal_literal(#val)) + +/* Document-class: BigDecimal + * BigDecimal provides arbitrary-precision floating point decimal arithmetic. + * + * == Introduction + * + * Ruby provides built-in support for arbitrary precision integer arithmetic. + * + * For example: + * + * 42**13 #=> 1265437718438866624512 + * + * BigDecimal provides similar support for very large or very accurate floating + * point numbers. + * + * Decimal arithmetic is also useful for general calculation, because it + * provides the correct answers people expect--whereas normal binary floating + * point arithmetic often introduces subtle errors because of the conversion + * between base 10 and base 2. + * + * For example, try: + * + * sum = 0 + * 10_000.times do + * sum = sum + 0.0001 + * end + * print sum #=> 0.9999999999999062 + * + * and contrast with the output from: + * + * require 'bigdecimal' + * + * sum = BigDecimal("0") + * 10_000.times do + * sum = sum + BigDecimal("0.0001") + * end + * print sum #=> 0.1E1 + * + * Similarly: + * + * (BigDecimal("1.2") - BigDecimal("1.0")) == BigDecimal("0.2") #=> true + * + * (1.2 - 1.0) == 0.2 #=> false + * + * == A Note About Precision + * + * For a calculation using a \BigDecimal and another +value+, + * the precision of the result depends on the type of +value+: + * + * - If +value+ is a \Float, + * the precision is Float::DIG + 1. + * - If +value+ is a \Rational, the precision is larger than Float::DIG + 1. + * - If +value+ is a \BigDecimal, the precision is +value+'s precision in the + * internal representation, which is platform-dependent. + * - If +value+ is other object, the precision is determined by the result of +BigDecimal(value)+. + * + * == Special features of accurate decimal arithmetic + * + * Because BigDecimal is more accurate than normal binary floating point + * arithmetic, it requires some special values. + * + * === Infinity + * + * BigDecimal sometimes needs to return infinity, for example if you divide + * a value by zero. + * + * BigDecimal("1.0") / BigDecimal("0.0") #=> Infinity + * BigDecimal("-1.0") / BigDecimal("0.0") #=> -Infinity + * + * You can represent infinite numbers to BigDecimal using the strings + * <code>'Infinity'</code>, <code>'+Infinity'</code> and + * <code>'-Infinity'</code> (case-sensitive) + * + * === Not a Number + * + * When a computation results in an undefined value, the special value +NaN+ + * (for 'not a number') is returned. + * + * Example: + * + * BigDecimal("0.0") / BigDecimal("0.0") #=> NaN + * + * You can also create undefined values. + * + * NaN is never considered to be the same as any other value, even NaN itself: + * + * n = BigDecimal('NaN') + * n == 0.0 #=> false + * n == n #=> false + * + * === Positive and negative zero + * + * If a computation results in a value which is too small to be represented as + * a BigDecimal within the currently specified limits of precision, zero must + * be returned. + * + * If the value which is too small to be represented is negative, a BigDecimal + * value of negative zero is returned. + * + * BigDecimal("1.0") / BigDecimal("-Infinity") #=> -0.0 + * + * If the value is positive, a value of positive zero is returned. + * + * BigDecimal("1.0") / BigDecimal("Infinity") #=> 0.0 + * + * (See BigDecimal.mode for how to specify limits of precision.) + * + * Note that +-0.0+ and +0.0+ are considered to be the same for the purposes of + * comparison. + * + * Note also that in mathematics, there is no particular concept of negative + * or positive zero; true mathematical zero has no sign. + * + * == bigdecimal/util + * + * When you require +bigdecimal/util+, the #to_d method will be + * available on BigDecimal and the native Integer, Float, Rational, + * and String classes: + * + * require 'bigdecimal/util' + * + * 42.to_d # => 0.42e2 + * 0.5.to_d # => 0.5e0 + * (2/3r).to_d(3) # => 0.667e0 + * "0.5".to_d # => 0.5e0 + * + * == Methods for Working with \JSON + * + * - {::json_create}[https://docs.ruby-lang.org/en/master/BigDecimal.html#method-c-json_create]: + * Returns a new \BigDecimal object constructed from the given object. + * - {#as_json}[https://docs.ruby-lang.org/en/master/BigDecimal.html#method-i-as_json]: + * Returns a 2-element hash representing +self+. + * - {#to_json}[https://docs.ruby-lang.org/en/master/BigDecimal.html#method-i-to_json]: + * Returns a \JSON string representing +self+. + * + * These methods are provided by the {JSON gem}[https://github.com/flori/json]. To make these methods available: + * + * require 'json/add/bigdecimal' + * + * * == License + * + * Copyright (C) 2002 by Shigeo Kobayashi <shigeo@tinyforest.gr.jp>. + * + * BigDecimal is released under the Ruby and 2-clause BSD licenses. + * See LICENSE.txt for details. + * + * Maintained by mrkn <mrkn@mrkn.jp> and ruby-core members. + * + * Documented by zzak <zachary@zacharyscott.net>, mathew <meta@pobox.com>, and + * many other contributors. + */ +void +Init_bigdecimal(void) +{ +#ifdef HAVE_RB_EXT_RACTOR_SAFE + rb_ext_ractor_safe(true); +#endif + + id_BigDecimal_exception_mode = rb_intern_const("BigDecimal.exception_mode"); + id_BigDecimal_rounding_mode = rb_intern_const("BigDecimal.rounding_mode"); + id_BigDecimal_precision_limit = rb_intern_const("BigDecimal.precision_limit"); + + /* Initialize VP routines */ + VpInit(0UL); + + /* Class and method registration */ + rb_cBigDecimal = rb_define_class("BigDecimal", rb_cNumeric); + + /* Global function */ + rb_define_global_function("BigDecimal", f_BigDecimal, -1); + + /* Class methods */ + rb_undef_alloc_func(rb_cBigDecimal); + rb_undef_method(CLASS_OF(rb_cBigDecimal), "new"); + rb_define_singleton_method(rb_cBigDecimal, "interpret_loosely", BigDecimal_s_interpret_loosely, 1); + rb_define_singleton_method(rb_cBigDecimal, "mode", BigDecimal_mode, -1); + rb_define_singleton_method(rb_cBigDecimal, "limit", BigDecimal_limit, -1); + rb_define_singleton_method(rb_cBigDecimal, "double_fig", BigDecimal_double_fig, 0); + rb_define_singleton_method(rb_cBigDecimal, "_load", BigDecimal_load, 1); + + rb_define_singleton_method(rb_cBigDecimal, "save_exception_mode", BigDecimal_save_exception_mode, 0); + rb_define_singleton_method(rb_cBigDecimal, "save_rounding_mode", BigDecimal_save_rounding_mode, 0); + rb_define_singleton_method(rb_cBigDecimal, "save_limit", BigDecimal_save_limit, 0); + + /* Constants definition */ + + /* + * The version of bigdecimal library + */ + rb_define_const(rb_cBigDecimal, "VERSION", rb_str_new2(BIGDECIMAL_VERSION)); + + /* + * Base value used in internal calculations. On a 32 bit system, BASE + * is 10000, indicating that calculation is done in groups of 4 digits. + * (If it were larger, BASE**2 wouldn't fit in 32 bits, so you couldn't + * guarantee that two groups could always be multiplied together without + * overflow.) + */ + rb_define_const(rb_cBigDecimal, "BASE", INT2FIX((SIGNED_VALUE)VpBaseVal())); + + /* Exceptions */ + + /* + * 0xff: Determines whether overflow, underflow or zero divide result in + * an exception being thrown. See BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "EXCEPTION_ALL", INT2FIX(VP_EXCEPTION_ALL)); + + /* + * 0x02: Determines what happens when the result of a computation is not a + * number (NaN). See BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "EXCEPTION_NaN", INT2FIX(VP_EXCEPTION_NaN)); + + /* + * 0x01: Determines what happens when the result of a computation is + * infinity. See BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "EXCEPTION_INFINITY", INT2FIX(VP_EXCEPTION_INFINITY)); + + /* + * 0x04: Determines what happens when the result of a computation is an + * underflow (a result too small to be represented). See BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "EXCEPTION_UNDERFLOW", INT2FIX(VP_EXCEPTION_UNDERFLOW)); + + /* + * 0x01: Determines what happens when the result of a computation is an + * overflow (a result too large to be represented). See BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "EXCEPTION_OVERFLOW", INT2FIX(VP_EXCEPTION_OVERFLOW)); + + /* + * 0x10: Determines what happens when a division by zero is performed. + * See BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "EXCEPTION_ZERODIVIDE", INT2FIX(VP_EXCEPTION_ZERODIVIDE)); + + /* + * 0x100: Determines what happens when a result must be rounded in order to + * fit in the appropriate number of significant digits. See + * BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "ROUND_MODE", INT2FIX(VP_ROUND_MODE)); + + /* 1: Indicates that values should be rounded away from zero. See + * BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "ROUND_UP", INT2FIX(VP_ROUND_UP)); + + /* 2: Indicates that values should be rounded towards zero. See + * BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "ROUND_DOWN", INT2FIX(VP_ROUND_DOWN)); + + /* 3: Indicates that digits >= 5 should be rounded up, others rounded down. + * See BigDecimal.mode. */ + rb_define_const(rb_cBigDecimal, "ROUND_HALF_UP", INT2FIX(VP_ROUND_HALF_UP)); + + /* 4: Indicates that digits >= 6 should be rounded up, others rounded down. + * See BigDecimal.mode. + */ + rb_define_const(rb_cBigDecimal, "ROUND_HALF_DOWN", INT2FIX(VP_ROUND_HALF_DOWN)); + /* 5: Round towards +Infinity. See BigDecimal.mode. */ + rb_define_const(rb_cBigDecimal, "ROUND_CEILING", INT2FIX(VP_ROUND_CEIL)); + + /* 6: Round towards -Infinity. See BigDecimal.mode. */ + rb_define_const(rb_cBigDecimal, "ROUND_FLOOR", INT2FIX(VP_ROUND_FLOOR)); + + /* 7: Round towards the even neighbor. See BigDecimal.mode. */ + rb_define_const(rb_cBigDecimal, "ROUND_HALF_EVEN", INT2FIX(VP_ROUND_HALF_EVEN)); + + /* 0: Indicates that a value is not a number. See BigDecimal.sign. */ + rb_define_const(rb_cBigDecimal, "SIGN_NaN", INT2FIX(VP_SIGN_NaN)); + + /* 1: Indicates that a value is +0. See BigDecimal.sign. */ + rb_define_const(rb_cBigDecimal, "SIGN_POSITIVE_ZERO", INT2FIX(VP_SIGN_POSITIVE_ZERO)); + + /* -1: Indicates that a value is -0. See BigDecimal.sign. */ + rb_define_const(rb_cBigDecimal, "SIGN_NEGATIVE_ZERO", INT2FIX(VP_SIGN_NEGATIVE_ZERO)); + + /* 2: Indicates that a value is positive and finite. See BigDecimal.sign. */ + rb_define_const(rb_cBigDecimal, "SIGN_POSITIVE_FINITE", INT2FIX(VP_SIGN_POSITIVE_FINITE)); + + /* -2: Indicates that a value is negative and finite. See BigDecimal.sign. */ + rb_define_const(rb_cBigDecimal, "SIGN_NEGATIVE_FINITE", INT2FIX(VP_SIGN_NEGATIVE_FINITE)); + + /* 3: Indicates that a value is positive and infinite. See BigDecimal.sign. */ + rb_define_const(rb_cBigDecimal, "SIGN_POSITIVE_INFINITE", INT2FIX(VP_SIGN_POSITIVE_INFINITE)); + + /* -3: Indicates that a value is negative and infinite. See BigDecimal.sign. */ + rb_define_const(rb_cBigDecimal, "SIGN_NEGATIVE_INFINITE", INT2FIX(VP_SIGN_NEGATIVE_INFINITE)); + + /* Positive zero value. */ + BIGDECIMAL_LITERAL(POSITIVE_ZERO, +0); + + /* Negative zero value. */ + BIGDECIMAL_LITERAL(NEGATIVE_ZERO, -0); + + /* Positive infinity[rdoc-ref:BigDecimal@Infinity] value. */ + rb_define_const(rb_cBigDecimal, "INFINITY", BIGDECIMAL_LITERAL(POSITIVE_INFINITY, +Infinity)); + + /* Negative infinity value. */ + BIGDECIMAL_LITERAL(NEGATIVE_INFINITY, -Infinity); + + /* '{Not a Number}[rdoc-ref:BigDecimal@Not+a+Number]' value. */ + rb_define_const(rb_cBigDecimal, "NAN", BIGDECIMAL_LITERAL(NAN, NaN)); + + /* instance methods */ + rb_define_method(rb_cBigDecimal, "precs", BigDecimal_prec, 0); + rb_define_method(rb_cBigDecimal, "precision", BigDecimal_precision, 0); + rb_define_method(rb_cBigDecimal, "scale", BigDecimal_scale, 0); + rb_define_method(rb_cBigDecimal, "precision_scale", BigDecimal_precision_scale, 0); + rb_define_method(rb_cBigDecimal, "n_significant_digits", BigDecimal_n_significant_digits, 0); + + rb_define_method(rb_cBigDecimal, "add", BigDecimal_add2, 2); + rb_define_method(rb_cBigDecimal, "sub", BigDecimal_sub2, 2); + rb_define_method(rb_cBigDecimal, "mult", BigDecimal_mult2, 2); + rb_define_method(rb_cBigDecimal, "div", BigDecimal_div3, -1); + rb_define_method(rb_cBigDecimal, "hash", BigDecimal_hash, 0); + rb_define_method(rb_cBigDecimal, "to_s", BigDecimal_to_s, -1); + rb_define_method(rb_cBigDecimal, "to_i", BigDecimal_to_i, 0); + rb_define_method(rb_cBigDecimal, "to_int", BigDecimal_to_i, 0); + rb_define_method(rb_cBigDecimal, "to_r", BigDecimal_to_r, 0); + rb_define_method(rb_cBigDecimal, "split", BigDecimal_split, 0); + rb_define_method(rb_cBigDecimal, "+", BigDecimal_add, 1); + rb_define_method(rb_cBigDecimal, "-", BigDecimal_sub, 1); + rb_define_method(rb_cBigDecimal, "+@", BigDecimal_uplus, 0); + rb_define_method(rb_cBigDecimal, "-@", BigDecimal_neg, 0); + rb_define_method(rb_cBigDecimal, "*", BigDecimal_mult, 1); + rb_define_method(rb_cBigDecimal, "/", BigDecimal_div, 1); + rb_define_method(rb_cBigDecimal, "quo", BigDecimal_quo, -1); + rb_define_method(rb_cBigDecimal, "%", BigDecimal_mod, 1); + rb_define_method(rb_cBigDecimal, "modulo", BigDecimal_mod, 1); + rb_define_method(rb_cBigDecimal, "remainder", BigDecimal_remainder, 1); + rb_define_method(rb_cBigDecimal, "divmod", BigDecimal_divmod, 1); + rb_define_method(rb_cBigDecimal, "clone", BigDecimal_clone, 0); + rb_define_method(rb_cBigDecimal, "dup", BigDecimal_clone, 0); + rb_define_method(rb_cBigDecimal, "to_f", BigDecimal_to_f, 0); + rb_define_method(rb_cBigDecimal, "abs", BigDecimal_abs, 0); + rb_define_method(rb_cBigDecimal, "sqrt", BigDecimal_sqrt, 1); + rb_define_method(rb_cBigDecimal, "fix", BigDecimal_fix, 0); + rb_define_method(rb_cBigDecimal, "round", BigDecimal_round, -1); + rb_define_method(rb_cBigDecimal, "frac", BigDecimal_frac, 0); + rb_define_method(rb_cBigDecimal, "floor", BigDecimal_floor, -1); + rb_define_method(rb_cBigDecimal, "ceil", BigDecimal_ceil, -1); + rb_define_method(rb_cBigDecimal, "power", BigDecimal_power, -1); + rb_define_method(rb_cBigDecimal, "**", BigDecimal_power_op, 1); + rb_define_method(rb_cBigDecimal, "<=>", BigDecimal_comp, 1); + rb_define_method(rb_cBigDecimal, "==", BigDecimal_eq, 1); + rb_define_method(rb_cBigDecimal, "===", BigDecimal_eq, 1); + rb_define_method(rb_cBigDecimal, "eql?", BigDecimal_eq, 1); + rb_define_method(rb_cBigDecimal, "<", BigDecimal_lt, 1); + rb_define_method(rb_cBigDecimal, "<=", BigDecimal_le, 1); + rb_define_method(rb_cBigDecimal, ">", BigDecimal_gt, 1); + rb_define_method(rb_cBigDecimal, ">=", BigDecimal_ge, 1); + rb_define_method(rb_cBigDecimal, "zero?", BigDecimal_zero, 0); + rb_define_method(rb_cBigDecimal, "nonzero?", BigDecimal_nonzero, 0); + rb_define_method(rb_cBigDecimal, "coerce", BigDecimal_coerce, 1); + rb_define_method(rb_cBigDecimal, "inspect", BigDecimal_inspect, 0); + rb_define_method(rb_cBigDecimal, "exponent", BigDecimal_exponent, 0); + rb_define_method(rb_cBigDecimal, "sign", BigDecimal_sign, 0); + rb_define_method(rb_cBigDecimal, "nan?", BigDecimal_IsNaN, 0); + rb_define_method(rb_cBigDecimal, "infinite?", BigDecimal_IsInfinite, 0); + rb_define_method(rb_cBigDecimal, "finite?", BigDecimal_IsFinite, 0); + rb_define_method(rb_cBigDecimal, "truncate", BigDecimal_truncate, -1); + rb_define_method(rb_cBigDecimal, "_dump", BigDecimal_dump, -1); + + rb_mBigMath = rb_define_module("BigMath"); + rb_define_singleton_method(rb_mBigMath, "exp", BigMath_s_exp, 2); + rb_define_singleton_method(rb_mBigMath, "log", BigMath_s_log, 2); + +#define ROUNDING_MODE(i, name, value) \ + id_##name = rb_intern_const(#name); \ + rbd_rounding_modes[i].id = id_##name; \ + rbd_rounding_modes[i].mode = value; + + ROUNDING_MODE(0, up, RBD_ROUND_UP); + ROUNDING_MODE(1, down, RBD_ROUND_DOWN); + ROUNDING_MODE(2, half_up, RBD_ROUND_HALF_UP); + ROUNDING_MODE(3, half_down, RBD_ROUND_HALF_DOWN); + ROUNDING_MODE(4, ceil, RBD_ROUND_CEIL); + ROUNDING_MODE(5, floor, RBD_ROUND_FLOOR); + ROUNDING_MODE(6, half_even, RBD_ROUND_HALF_EVEN); + + ROUNDING_MODE(7, default, RBD_ROUND_DEFAULT); + ROUNDING_MODE(8, truncate, RBD_ROUND_TRUNCATE); + ROUNDING_MODE(9, banker, RBD_ROUND_BANKER); + ROUNDING_MODE(10, ceiling, RBD_ROUND_CEILING); + +#undef ROUNDING_MODE + + id_to_r = rb_intern_const("to_r"); + id_eq = rb_intern_const("=="); + id_half = rb_intern_const("half"); + + (void)VPrint; /* suppress unused warning */ +} + +/* + * + * ============================================================================ + * + * vp_ routines begin from here. + * + * ============================================================================ + * + */ +#ifdef BIGDECIMAL_DEBUG +static int gfDebug = 1; /* Debug switch */ +#if 0 +static int gfCheckVal = 1; /* Value checking flag in VpNmlz() */ +#endif +#endif /* BIGDECIMAL_DEBUG */ + +static Real *VpConstOne; /* constant 1.0 */ +static Real *VpConstPt5; /* constant 0.5 */ +#define maxnr 100UL /* Maximum iterations for calculating sqrt. */ + /* used in VpSqrt() */ + +/* ETC */ +#define MemCmp(x,y,z) memcmp(x,y,z) +#define StrCmp(x,y) strcmp(x,y) + +enum op_sw { + OP_SW_ADD = 1, /* + */ + OP_SW_SUB, /* - */ + OP_SW_MULT, /* * */ + OP_SW_DIV /* / */ +}; + +static int VpIsDefOP(Real *c, Real *a, Real *b, enum op_sw sw); +static int AddExponent(Real *a, SIGNED_VALUE n); +static DECDIG VpAddAbs(Real *a,Real *b,Real *c); +static DECDIG VpSubAbs(Real *a,Real *b,Real *c); +static size_t VpSetPTR(Real *a, Real *b, Real *c, size_t *a_pos, size_t *b_pos, size_t *c_pos, DECDIG *av, DECDIG *bv); +static int VpNmlz(Real *a); +static void VpFormatSt(char *psz, size_t fFmt); +static int VpRdup(Real *m, size_t ind_m); + +#ifdef BIGDECIMAL_DEBUG +# ifdef HAVE_RB_EXT_RACTOR_SAFE +# error Need to make rewiting gnAlloc atomic +# endif +static int gnAlloc = 0; /* Memory allocation counter */ +#endif /* BIGDECIMAL_DEBUG */ + +/* + * EXCEPTION Handling. + */ + +#define bigdecimal_set_thread_local_exception_mode(mode) \ + rb_thread_local_aset( \ + rb_thread_current(), \ + id_BigDecimal_exception_mode, \ + INT2FIX((int)(mode)) \ + ) + +static unsigned short +VpGetException (void) +{ + VALUE const vmode = rb_thread_local_aref( + rb_thread_current(), + id_BigDecimal_exception_mode + ); + + if (NIL_P(vmode)) { + bigdecimal_set_thread_local_exception_mode(BIGDECIMAL_EXCEPTION_MODE_DEFAULT); + return BIGDECIMAL_EXCEPTION_MODE_DEFAULT; + } + + return NUM2USHORT(vmode); +} + +static void +VpSetException(unsigned short f) +{ + bigdecimal_set_thread_local_exception_mode(f); +} + +static void +VpCheckException(Real *p, bool always) +{ + if (VpIsNaN(p)) { + VpException(VP_EXCEPTION_NaN, "Computation results in 'NaN' (Not a Number)", always); + } + else if (VpIsPosInf(p)) { + VpException(VP_EXCEPTION_INFINITY, "Computation results in 'Infinity'", always); + } + else if (VpIsNegInf(p)) { + VpException(VP_EXCEPTION_INFINITY, "Computation results in '-Infinity'", always); + } +} + +static VALUE +VpCheckGetValue(Real *p) +{ + VpCheckException(p, false); + return p->obj; +} + +/* + * Precision limit. + */ + +#define bigdecimal_set_thread_local_precision_limit(limit) \ + rb_thread_local_aset( \ + rb_thread_current(), \ + id_BigDecimal_precision_limit, \ + SIZET2NUM(limit) \ + ) +#define BIGDECIMAL_PRECISION_LIMIT_DEFAULT ((size_t)0) + +/* These 2 functions added at v1.1.7 */ +VP_EXPORT size_t +VpGetPrecLimit(void) +{ + VALUE const vlimit = rb_thread_local_aref( + rb_thread_current(), + id_BigDecimal_precision_limit + ); + + if (NIL_P(vlimit)) { + bigdecimal_set_thread_local_precision_limit(BIGDECIMAL_PRECISION_LIMIT_DEFAULT); + return BIGDECIMAL_PRECISION_LIMIT_DEFAULT; + } + + return NUM2SIZET(vlimit); +} + +VP_EXPORT size_t +VpSetPrecLimit(size_t n) +{ + size_t const s = VpGetPrecLimit(); + bigdecimal_set_thread_local_precision_limit(n); + return s; +} + +/* + * Rounding mode. + */ + +#define bigdecimal_set_thread_local_rounding_mode(mode) \ + rb_thread_local_aset( \ + rb_thread_current(), \ + id_BigDecimal_rounding_mode, \ + INT2FIX((int)(mode)) \ + ) + +VP_EXPORT unsigned short +VpGetRoundMode(void) +{ + VALUE const vmode = rb_thread_local_aref( + rb_thread_current(), + id_BigDecimal_rounding_mode + ); + + if (NIL_P(vmode)) { + bigdecimal_set_thread_local_rounding_mode(BIGDECIMAL_ROUNDING_MODE_DEFAULT); + return BIGDECIMAL_ROUNDING_MODE_DEFAULT; + } + + return NUM2USHORT(vmode); +} + +VP_EXPORT int +VpIsRoundMode(unsigned short n) +{ + switch (n) { + case VP_ROUND_UP: + case VP_ROUND_DOWN: + case VP_ROUND_HALF_UP: + case VP_ROUND_HALF_DOWN: + case VP_ROUND_CEIL: + case VP_ROUND_FLOOR: + case VP_ROUND_HALF_EVEN: + return 1; + + default: + return 0; + } +} + +VP_EXPORT unsigned short +VpSetRoundMode(unsigned short n) +{ + if (VpIsRoundMode(n)) { + bigdecimal_set_thread_local_rounding_mode(n); + return n; + } + + return VpGetRoundMode(); +} + +/* + * 0.0 & 1.0 generator + * These gZero_..... and gOne_..... can be any name + * referenced from nowhere except Zero() and One(). + * gZero_..... and gOne_..... must have global scope + * (to let the compiler know they may be changed in outside + * (... but not actually..)). + */ +volatile const double gOne_ABCED9B4_CE73__00400511F31D = 1.0; + +static double +One(void) +{ + return gOne_ABCED9B4_CE73__00400511F31D; +} + +/* + ---------------------------------------------------------------- + Value of sign in Real structure is reserved for future use. + short sign; + ==0 : NaN + 1 : Positive zero + -1 : Negative zero + 2 : Positive number + -2 : Negative number + 3 : Positive infinite number + -3 : Negative infinite number + ---------------------------------------------------------------- +*/ + +VP_EXPORT double +VpGetDoubleNaN(void) /* Returns the value of NaN */ +{ + return nan(""); +} + +VP_EXPORT double +VpGetDoublePosInf(void) /* Returns the value of +Infinity */ +{ + return HUGE_VAL; +} + +VP_EXPORT double +VpGetDoubleNegInf(void) /* Returns the value of -Infinity */ +{ + return -HUGE_VAL; +} + +VP_EXPORT double +VpGetDoubleNegZero(void) /* Returns the value of -0 */ +{ + static double nzero = 1000.0; + if (nzero != 0.0) nzero = (One()/VpGetDoubleNegInf()); + return nzero; +} + +#if 0 /* unused */ +VP_EXPORT int +VpIsNegDoubleZero(double v) +{ + double z = VpGetDoubleNegZero(); + return MemCmp(&v,&z,sizeof(v))==0; +} +#endif + +VP_EXPORT int +VpException(unsigned short f, const char *str,int always) +{ + unsigned short const exception_mode = VpGetException(); + + if (f == VP_EXCEPTION_OP) always = 1; + + if (always || (exception_mode & f)) { + switch(f) { + /* case VP_EXCEPTION_OVERFLOW: */ + case VP_EXCEPTION_ZERODIVIDE: + case VP_EXCEPTION_INFINITY: + case VP_EXCEPTION_NaN: + case VP_EXCEPTION_UNDERFLOW: + case VP_EXCEPTION_OP: + rb_raise(rb_eFloatDomainError, "%s", str); + break; + default: + rb_fatal("%s", str); + } + } + return 0; /* 0 Means VpException() raised no exception */ +} + +/* Throw exception or returns 0,when resulting c is Inf or NaN */ +/* sw=1:+ 2:- 3:* 4:/ */ +static int +VpIsDefOP(Real *c, Real *a, Real *b, enum op_sw sw) +{ + if (VpIsNaN(a) || VpIsNaN(b)) { + /* at least a or b is NaN */ + VpSetNaN(c); + goto NaN; + } + + if (VpIsInf(a)) { + if (VpIsInf(b)) { + switch(sw) { + case OP_SW_ADD: /* + */ + if (VpGetSign(a) == VpGetSign(b)) { + VpSetInf(c, VpGetSign(a)); + goto Inf; + } + else { + VpSetNaN(c); + goto NaN; + } + case OP_SW_SUB: /* - */ + if (VpGetSign(a) != VpGetSign(b)) { + VpSetInf(c, VpGetSign(a)); + goto Inf; + } + else { + VpSetNaN(c); + goto NaN; + } + case OP_SW_MULT: /* * */ + VpSetInf(c, VpGetSign(a)*VpGetSign(b)); + goto Inf; + case OP_SW_DIV: /* / */ + VpSetNaN(c); + goto NaN; + } + VpSetNaN(c); + goto NaN; + } + /* Inf op Finite */ + switch(sw) { + case OP_SW_ADD: /* + */ + case OP_SW_SUB: /* - */ + VpSetInf(c, VpGetSign(a)); + break; + case OP_SW_MULT: /* * */ + if (VpIsZero(b)) { + VpSetNaN(c); + goto NaN; + } + VpSetInf(c, VpGetSign(a)*VpGetSign(b)); + break; + case OP_SW_DIV: /* / */ + VpSetInf(c, VpGetSign(a)*VpGetSign(b)); + } + goto Inf; + } + + if (VpIsInf(b)) { + switch(sw) { + case OP_SW_ADD: /* + */ + VpSetInf(c, VpGetSign(b)); + break; + case OP_SW_SUB: /* - */ + VpSetInf(c, -VpGetSign(b)); + break; + case OP_SW_MULT: /* * */ + if (VpIsZero(a)) { + VpSetNaN(c); + goto NaN; + } + VpSetInf(c, VpGetSign(a)*VpGetSign(b)); + break; + case OP_SW_DIV: /* / */ + VpSetZero(c, VpGetSign(a)*VpGetSign(b)); + } + goto Inf; + } + return 1; /* Results OK */ + +Inf: + if (VpIsPosInf(c)) { + return VpException(VP_EXCEPTION_INFINITY, "Computation results to 'Infinity'", 0); + } + else { + return VpException(VP_EXCEPTION_INFINITY, "Computation results to '-Infinity'", 0); + } + +NaN: + return VpException(VP_EXCEPTION_NaN, "Computation results to 'NaN'", 0); +} + +/* + ---------------------------------------------------------------- +*/ + +/* + * returns number of chars needed to represent vp in specified format. + */ +VP_EXPORT size_t +VpNumOfChars(Real *vp,const char *pszFmt) +{ + SIGNED_VALUE ex; + size_t nc; + + if (vp == NULL) return BASE_FIG*2+6; + if (!VpIsDef(vp)) return 32; /* not sure,may be OK */ + + switch(*pszFmt) { + case 'F': + nc = BASE_FIG*(vp->Prec + 1)+2; + ex = vp->exponent; + if (ex < 0) { + nc += BASE_FIG*(size_t)(-ex); + } + else { + if ((size_t)ex > vp->Prec) { + nc += BASE_FIG*((size_t)ex - vp->Prec); + } + } + break; + case 'E': + /* fall through */ + default: + nc = BASE_FIG*(vp->Prec + 2)+6; /* 3: sign + exponent chars */ + } + return nc; +} + +/* + * Initializer for Vp routines and constants used. + * [Input] + * BaseVal: Base value(assigned to BASE) for Vp calculation. + * It must be the form BaseVal=10**n.(n=1,2,3,...) + * If Base <= 0L,then the BASE will be calculated so + * that BASE is as large as possible satisfying the + * relation MaxVal <= BASE*(BASE+1). Where the value + * MaxVal is the largest value which can be represented + * by one DECDIG word in the computer used. + * + * [Returns] + * BIGDECIMAL_DOUBLE_FIGURES ... OK + */ +VP_EXPORT size_t +VpInit(DECDIG BaseVal) +{ + /* Setup +/- Inf NaN -0 */ + VpGetDoubleNegZero(); + + /* Const 1.0 */ + VpConstOne = NewOneNolimit(1, 1); + + /* Const 0.5 */ + VpConstPt5 = NewOneNolimit(1, 1); + VpConstPt5->exponent = 0; + VpConstPt5->frac[0] = 5*BASE1; + +#ifdef BIGDECIMAL_DEBUG + gnAlloc = 0; +#endif /* BIGDECIMAL_DEBUG */ + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + printf("VpInit: BaseVal = %"PRIuDECDIG"\n", BaseVal); + printf("\tBASE = %"PRIuDECDIG"\n", BASE); + printf("\tHALF_BASE = %"PRIuDECDIG"\n", HALF_BASE); + printf("\tBASE1 = %"PRIuDECDIG"\n", BASE1); + printf("\tBASE_FIG = %u\n", BASE_FIG); + printf("\tBIGDECIMAL_DOUBLE_FIGURES = %d\n", BIGDECIMAL_DOUBLE_FIGURES); + } +#endif /* BIGDECIMAL_DEBUG */ + + return BIGDECIMAL_DOUBLE_FIGURES; +} + +VP_EXPORT Real * +VpOne(void) +{ + return VpConstOne; +} + +/* If exponent overflows,then raise exception or returns 0 */ +static int +AddExponent(Real *a, SIGNED_VALUE n) +{ + SIGNED_VALUE e = a->exponent; + SIGNED_VALUE m = e+n; + SIGNED_VALUE eb, mb; + if (e > 0) { + if (n > 0) { + if (MUL_OVERFLOW_SIGNED_VALUE_P(m, (SIGNED_VALUE)BASE_FIG) || + MUL_OVERFLOW_SIGNED_VALUE_P(e, (SIGNED_VALUE)BASE_FIG)) + goto overflow; + mb = m*(SIGNED_VALUE)BASE_FIG; + eb = e*(SIGNED_VALUE)BASE_FIG; + if (eb - mb > 0) goto overflow; + } + } + else if (n < 0) { + if (MUL_OVERFLOW_SIGNED_VALUE_P(m, (SIGNED_VALUE)BASE_FIG) || + MUL_OVERFLOW_SIGNED_VALUE_P(e, (SIGNED_VALUE)BASE_FIG)) + goto underflow; + mb = m*(SIGNED_VALUE)BASE_FIG; + eb = e*(SIGNED_VALUE)BASE_FIG; + if (mb - eb > 0) goto underflow; + } + a->exponent = m; + return 1; + +/* Overflow/Underflow ==> Raise exception or returns 0 */ +underflow: + VpSetZero(a, VpGetSign(a)); + return VpException(VP_EXCEPTION_UNDERFLOW, "Exponent underflow", 0); + +overflow: + VpSetInf(a, VpGetSign(a)); + return VpException(VP_EXCEPTION_OVERFLOW, "Exponent overflow", 0); +} + +Real * +bigdecimal_parse_special_string(const char *str) +{ + static const struct { + const char *str; + size_t len; + int sign; + } table[] = { + { SZ_INF, sizeof(SZ_INF) - 1, VP_SIGN_POSITIVE_INFINITE }, + { SZ_PINF, sizeof(SZ_PINF) - 1, VP_SIGN_POSITIVE_INFINITE }, + { SZ_NINF, sizeof(SZ_NINF) - 1, VP_SIGN_NEGATIVE_INFINITE }, + { SZ_NaN, sizeof(SZ_NaN) - 1, VP_SIGN_NaN } + }; + static const size_t table_length = sizeof(table) / sizeof(table[0]); + size_t i; + + for (i = 0; i < table_length; ++i) { + const char *p; + if (strncmp(str, table[i].str, table[i].len) != 0) { + continue; + } + + p = str + table[i].len; + while (*p && ISSPACE(*p)) ++p; + if (*p == '\0') { + Real *vp = rbd_allocate_struct(1); + vp->MaxPrec = 1; + switch (table[i].sign) { + default: + UNREACHABLE; break; + case VP_SIGN_POSITIVE_INFINITE: + VpSetPosInf(vp); + return vp; + case VP_SIGN_NEGATIVE_INFINITE: + VpSetNegInf(vp); + return vp; + case VP_SIGN_NaN: + VpSetNaN(vp); + return vp; + } + } + } + + return NULL; +} + +struct VpCtoV_args { + Real *a; + const char *int_chr; + size_t ni; + const char *frac; + size_t nf; + const char *exp_chr; + size_t ne; +}; + +static VALUE +call_VpCtoV(VALUE arg) +{ + struct VpCtoV_args *x = (struct VpCtoV_args *)arg; + return (VALUE)VpCtoV(x->a, x->int_chr, x->ni, x->frac, x->nf, x->exp_chr, x->ne); +} + +static int +protected_VpCtoV(Real *a, const char *int_chr, size_t ni, const char *frac, size_t nf, const char *exp_chr, size_t ne, int free_on_error) +{ + struct VpCtoV_args args; + int state = 0; + + args.a = a; + args.int_chr = int_chr; + args.ni = ni; + args.frac = frac; + args.nf = nf; + args.exp_chr = exp_chr; + args.ne = ne; + + VALUE result = rb_protect(call_VpCtoV, (VALUE)&args, &state); + if (state) { + if (free_on_error) { + rbd_free_struct(a); + } + rb_jump_tag(state); + } + + return (int)result; +} + +/* + * Allocates variable. + * [Input] + * mx ... The number of decimal digits to be allocated, if zero then mx is determined by szVal. + * The mx will be the number of significant digits can to be stored. + * szVal ... The value assigned(char). If szVal==NULL, then zero is assumed. + * If szVal[0]=='#' then MaxPrec is not affected by the precision limit + * so that the full precision specified by szVal is allocated. + * + * [Returns] + * Pointer to the newly allocated variable, or + * NULL be returned if memory allocation is failed,or any error. + */ +VP_EXPORT Real * +VpAlloc(size_t mx, const char *szVal, int strict_p, int exc) +{ + const char *orig_szVal = szVal; + size_t i, j, ni, ipf, nf, ipe, ne, exp_seen, nalloc; + size_t len; + char v, *psz; + int sign=1; + Real *vp = NULL; + VALUE buf; + + if (szVal == NULL) { + return_zero: + /* necessary to be able to store */ + /* at least mx digits. */ + /* szVal==NULL ==> allocate zero value. */ + vp = rbd_allocate_struct(mx); + vp->MaxPrec = rbd_calculate_internal_digits(mx, false); /* Must false */ + VpSetZero(vp, 1); /* initialize vp to zero. */ + return vp; + } + + /* Skipping leading spaces */ + while (ISSPACE(*szVal)) szVal++; + + /* Check on Inf & NaN */ + if ((vp = bigdecimal_parse_special_string(szVal)) != NULL) { + return vp; + } + + /* Processing the leading one `#` */ + if (*szVal != '#') { + len = rbd_calculate_internal_digits(mx, true); + } + else { + len = rbd_calculate_internal_digits(mx, false); + ++szVal; + } + + /* Scanning digits */ + + /* A buffer for keeping scanned digits */ + buf = rb_str_tmp_new(strlen(szVal) + 1); + psz = RSTRING_PTR(buf); + + /* cursor: i for psz, and j for szVal */ + i = j = 0; + + /* Scanning: sign part */ + v = psz[i] = szVal[j]; + if ((v == '-') || (v == '+')) { + sign = -(v == '-'); + ++i; + ++j; + } + + /* Scanning: integer part */ + ni = 0; /* number of digits in the integer part */ + while ((v = psz[i] = szVal[j]) != '\0') { + if (!strict_p && ISSPACE(v)) { + v = psz[i] = '\0'; + break; + } + if (v == '_') { + if (ni > 0) { + v = szVal[j+1]; + if (v == '\0' || ISSPACE(v) || ISDIGIT(v)) { + ++j; + continue; + } + if (!strict_p) { + v = psz[i] = '\0'; + break; + } + } + goto invalid_value; + } + if (!ISDIGIT(v)) { + break; + } + ++ni; + ++i; + ++j; + } + + /* Scanning: fractional part */ + nf = 0; /* number of digits in the fractional part */ + ne = 0; /* number of digits in the exponential part */ + ipf = 0; /* index of the beginning of the fractional part */ + ipe = 0; /* index of the beginning of the exponential part */ + exp_seen = 0; + + if (v != '\0') { + /* Scanning fractional part */ + if ((psz[i] = szVal[j]) == '.') { + ++i; + ++j; + ipf = i; + while ((v = psz[i] = szVal[j]) != '\0') { + if (!strict_p && ISSPACE(v)) { + v = psz[i] = '\0'; + break; + } + if (v == '_') { + if (nf > 0 && ISDIGIT(szVal[j+1])) { + ++j; + continue; + } + if (!strict_p) { + v = psz[i] = '\0'; + break; + } + goto invalid_value; + } + if (!ISDIGIT(v)) break; + ++i; + ++j; + ++nf; + } + } + + /* Scanning exponential part */ + if (v != '\0') { + switch ((psz[i] = szVal[j])) { + case '\0': + break; + case 'e': case 'E': + case 'd': case 'D': + exp_seen = 1; + ++i; + ++j; + ipe = i; + v = psz[i] = szVal[j]; + if ((v == '-') || (v == '+')) { + ++i; + ++j; + } + while ((v = psz[i] = szVal[j]) != '\0') { + if (!strict_p && ISSPACE(v)) { + v = psz[i] = '\0'; + break; + } + if (v == '_') { + if (ne > 0 && ISDIGIT(szVal[j+1])) { + ++j; + continue; + } + if (!strict_p) { + v = psz[i] = '\0'; + if (ne == 0) { + exp_seen = 0; + } + break; + } + goto invalid_value; + } + if (!ISDIGIT(v)) break; + ++i; + ++j; + ++ne; + } + break; + default: + break; + } + } + + if (v != '\0') { + /* Scanning trailing spaces */ + while (ISSPACE(szVal[j])) ++j; + + /* Invalid character */ + if (szVal[j] && strict_p) { + goto invalid_value; + } + } + } + + psz[i] = '\0'; + + if (strict_p && ((ni == 0 && nf == 0) || (exp_seen && ne == 0))) { + VALUE str; + invalid_value: + if (!strict_p) { + goto return_zero; + } + if (!exc) { + return NULL; + } + str = rb_str_new2(orig_szVal); + rb_raise(rb_eArgError, "invalid value for BigDecimal(): \"%"PRIsVALUE"\"", str); + } + + nalloc = (ni + nf + BASE_FIG - 1) / BASE_FIG + 1; /* set effective allocation */ + /* units for szVal[] */ + if (len == 0) len = 1; + nalloc = Max(nalloc, len); + len = nalloc; + vp = rbd_allocate_struct(len); + vp->MaxPrec = len; /* set max precision */ + VpSetZero(vp, sign); + protected_VpCtoV(vp, psz, ni, psz + ipf, nf, psz + ipe, ne, true); + rb_str_resize(buf, 0); + return vp; +} + +/* + * Assignment(c=a). + * [Input] + * a ... RHSV + * isw ... switch for assignment. + * c = a when isw > 0 + * c = -a when isw < 0 + * if c->MaxPrec < a->Prec,then round operation + * will be performed. + * [Output] + * c ... LHSV + */ +VP_EXPORT size_t +VpAsgn(Real *c, Real *a, int isw) +{ + size_t n; + if (VpIsNaN(a)) { + VpSetNaN(c); + return 0; + } + if (VpIsInf(a)) { + VpSetInf(c, isw * VpGetSign(a)); + return 0; + } + + /* check if the RHS is zero */ + if (!VpIsZero(a)) { + c->exponent = a->exponent; /* store exponent */ + VpSetSign(c, isw * VpGetSign(a)); /* set sign */ + n = (a->Prec < c->MaxPrec) ? (a->Prec) : (c->MaxPrec); + c->Prec = n; + memcpy(c->frac, a->frac, n * sizeof(DECDIG)); + /* Needs round ? */ + if (isw != 10) { + /* Not in ActiveRound */ + if(c->Prec < a->Prec) { + VpInternalRound(c, n, (n>0) ? a->frac[n-1] : 0, a->frac[n]); + } + else { + VpLimitRound(c,0); + } + } + } + else { + /* The value of 'a' is zero. */ + VpSetZero(c, isw * VpGetSign(a)); + return 1; + } + return c->Prec * BASE_FIG; +} + +/* + * c = a + b when operation = 1 or 2 + * c = a - b when operation = -1 or -2. + * Returns number of significant digits of c + */ +VP_EXPORT size_t +VpAddSub(Real *c, Real *a, Real *b, int operation) +{ + short sw, isw; + Real *a_ptr, *b_ptr; + size_t n, na, nb, i; + DECDIG mrv; + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpAddSub(enter) a=% \n", a); + VPrint(stdout, " b=% \n", b); + printf(" operation=%d\n", operation); + } +#endif /* BIGDECIMAL_DEBUG */ + + if (!VpIsDefOP(c, a, b, (operation > 0) ? OP_SW_ADD : OP_SW_SUB)) return 0; /* No significant digits */ + + /* check if a or b is zero */ + if (VpIsZero(a)) { + /* a is zero,then assign b to c */ + if (!VpIsZero(b)) { + VpAsgn(c, b, operation); + } + else { + /* Both a and b are zero. */ + if (VpGetSign(a) < 0 && operation * VpGetSign(b) < 0) { + /* -0 -0 */ + VpSetZero(c, -1); + } + else { + VpSetZero(c, 1); + } + return 1; /* 0: 1 significant digits */ + } + return c->Prec * BASE_FIG; + } + if (VpIsZero(b)) { + /* b is zero,then assign a to c. */ + VpAsgn(c, a, 1); + return c->Prec*BASE_FIG; + } + + if (operation < 0) sw = -1; + else sw = 1; + + /* compare absolute value. As a result,|a_ptr|>=|b_ptr| */ + if (a->exponent > b->exponent) { + a_ptr = a; + b_ptr = b; + } /* |a|>|b| */ + else if (a->exponent < b->exponent) { + a_ptr = b; + b_ptr = a; + } /* |a|<|b| */ + else { + /* Exponent part of a and b is the same,then compare fraction */ + /* part */ + na = a->Prec; + nb = b->Prec; + n = Min(na, nb); + for (i=0; i < n; ++i) { + if (a->frac[i] > b->frac[i]) { + a_ptr = a; + b_ptr = b; + goto end_if; + } + else if (a->frac[i] < b->frac[i]) { + a_ptr = b; + b_ptr = a; + goto end_if; + } + } + if (na > nb) { + a_ptr = a; + b_ptr = b; + goto end_if; + } + else if (na < nb) { + a_ptr = b; + b_ptr = a; + goto end_if; + } + /* |a| == |b| */ + if (VpGetSign(a) + sw *VpGetSign(b) == 0) { + VpSetZero(c, 1); /* abs(a)=abs(b) and operation = '-' */ + return c->Prec * BASE_FIG; + } + a_ptr = a; + b_ptr = b; + } + +end_if: + isw = VpGetSign(a) + sw *VpGetSign(b); + /* + * isw = 0 ...( 1)+(-1),( 1)-( 1),(-1)+(1),(-1)-(-1) + * = 2 ...( 1)+( 1),( 1)-(-1) + * =-2 ...(-1)+(-1),(-1)-( 1) + * If isw==0, then c =(Sign a_ptr)(|a_ptr|-|b_ptr|) + * else c =(Sign ofisw)(|a_ptr|+|b_ptr|) + */ + if (isw) { /* addition */ + VpSetSign(c, 1); + mrv = VpAddAbs(a_ptr, b_ptr, c); + VpSetSign(c, isw / 2); + } + else { /* subtraction */ + VpSetSign(c, 1); + mrv = VpSubAbs(a_ptr, b_ptr, c); + if (a_ptr == a) { + VpSetSign(c,VpGetSign(a)); + } + else { + VpSetSign(c, VpGetSign(a_ptr) * sw); + } + } + VpInternalRound(c, 0, (c->Prec > 0) ? c->frac[c->Prec-1] : 0, mrv); + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpAddSub(result) c=% \n", c); + VPrint(stdout, " a=% \n", a); + VPrint(stdout, " b=% \n", b); + printf(" operation=%d\n", operation); + } +#endif /* BIGDECIMAL_DEBUG */ + return c->Prec * BASE_FIG; +} + +/* + * Addition of two values with variable precision + * a and b assuming abs(a)>abs(b). + * c = abs(a) + abs(b) ; where |a|>=|b| + */ +static DECDIG +VpAddAbs(Real *a, Real *b, Real *c) +{ + size_t word_shift; + size_t ap; + size_t bp; + size_t cp; + size_t a_pos; + size_t b_pos, b_pos_with_word_shift; + size_t c_pos; + DECDIG av, bv, carry, mrv; + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpAddAbs called: a = %\n", a); + VPrint(stdout, " b = %\n", b); + } +#endif /* BIGDECIMAL_DEBUG */ + + word_shift = VpSetPTR(a, b, c, &ap, &bp, &cp, &av, &bv); + a_pos = ap; + b_pos = bp; + c_pos = cp; + + if (word_shift == (size_t)-1L) return 0; /* Overflow */ + if (b_pos == (size_t)-1L) goto Assign_a; + + mrv = av + bv; /* Most right val. Used for round. */ + + /* Just assign the last few digits of b to c because a has no */ + /* corresponding digits to be added. */ + if (b_pos > 0) { + while (b_pos > 0 && b_pos + word_shift > a_pos) { + c->frac[--c_pos] = b->frac[--b_pos]; + } + } + if (b_pos == 0 && word_shift > a_pos) { + while (word_shift-- > a_pos) { + c->frac[--c_pos] = 0; + } + } + + /* Just assign the last few digits of a to c because b has no */ + /* corresponding digits to be added. */ + b_pos_with_word_shift = b_pos + word_shift; + while (a_pos > b_pos_with_word_shift) { + c->frac[--c_pos] = a->frac[--a_pos]; + } + carry = 0; /* set first carry be zero */ + + /* Now perform addition until every digits of b will be */ + /* exhausted. */ + while (b_pos > 0) { + c->frac[--c_pos] = a->frac[--a_pos] + b->frac[--b_pos] + carry; + if (c->frac[c_pos] >= BASE) { + c->frac[c_pos] -= BASE; + carry = 1; + } + else { + carry = 0; + } + } + + /* Just assign the first few digits of a with considering */ + /* the carry obtained so far because b has been exhausted. */ + while (a_pos > 0) { + c->frac[--c_pos] = a->frac[--a_pos] + carry; + if (c->frac[c_pos] >= BASE) { + c->frac[c_pos] -= BASE; + carry = 1; + } + else { + carry = 0; + } + } + if (c_pos) c->frac[c_pos - 1] += carry; + goto Exit; + +Assign_a: + VpAsgn(c, a, 1); + mrv = 0; + +Exit: + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpAddAbs exit: c=% \n", c); + } +#endif /* BIGDECIMAL_DEBUG */ + return mrv; +} + +/* + * c = abs(a) - abs(b) + */ +static DECDIG +VpSubAbs(Real *a, Real *b, Real *c) +{ + size_t word_shift; + size_t ap; + size_t bp; + size_t cp; + size_t a_pos; + size_t b_pos, b_pos_with_word_shift; + size_t c_pos; + DECDIG av, bv, borrow, mrv; + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpSubAbs called: a = %\n", a); + VPrint(stdout, " b = %\n", b); + } +#endif /* BIGDECIMAL_DEBUG */ + + word_shift = VpSetPTR(a, b, c, &ap, &bp, &cp, &av, &bv); + a_pos = ap; + b_pos = bp; + c_pos = cp; + if (word_shift == (size_t)-1L) return 0; /* Overflow */ + if (b_pos == (size_t)-1L) goto Assign_a; + + if (av >= bv) { + mrv = av - bv; + borrow = 0; + } + else { + mrv = 0; + borrow = 1; + } + + /* Just assign the values which are the BASE subtracted by */ + /* each of the last few digits of the b because the a has no */ + /* corresponding digits to be subtracted. */ + if (b_pos + word_shift > a_pos) { + while (b_pos > 0 && b_pos + word_shift > a_pos) { + c->frac[--c_pos] = BASE - b->frac[--b_pos] - borrow; + borrow = 1; + } + if (b_pos == 0) { + while (word_shift > a_pos) { + --word_shift; + c->frac[--c_pos] = BASE - borrow; + borrow = 1; + } + } + } + /* Just assign the last few digits of a to c because b has no */ + /* corresponding digits to subtract. */ + + b_pos_with_word_shift = b_pos + word_shift; + while (a_pos > b_pos_with_word_shift) { + c->frac[--c_pos] = a->frac[--a_pos]; + } + + /* Now perform subtraction until every digits of b will be */ + /* exhausted. */ + while (b_pos > 0) { + --c_pos; + if (a->frac[--a_pos] < b->frac[--b_pos] + borrow) { + c->frac[c_pos] = BASE + a->frac[a_pos] - b->frac[b_pos] - borrow; + borrow = 1; + } + else { + c->frac[c_pos] = a->frac[a_pos] - b->frac[b_pos] - borrow; + borrow = 0; + } + } + + /* Just assign the first few digits of a with considering */ + /* the borrow obtained so far because b has been exhausted. */ + while (a_pos > 0) { + --c_pos; + if (a->frac[--a_pos] < borrow) { + c->frac[c_pos] = BASE + a->frac[a_pos] - borrow; + borrow = 1; + } + else { + c->frac[c_pos] = a->frac[a_pos] - borrow; + borrow = 0; + } + } + if (c_pos) c->frac[c_pos - 1] -= borrow; + goto Exit; + +Assign_a: + VpAsgn(c, a, 1); + mrv = 0; + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpSubAbs exit: c=% \n", c); + } +#endif /* BIGDECIMAL_DEBUG */ + return mrv; +} + +/* + * Note: If(av+bv)>= HALF_BASE,then 1 will be added to the least significant + * digit of c(In case of addition). + * ------------------------- figure of output ----------------------------------- + * a = xxxxxxxxxxx + * b = xxxxxxxxxx + * c =xxxxxxxxxxxxxxx + * word_shift = | | + * right_word = | | (Total digits in RHSV) + * left_word = | | (Total digits in LHSV) + * a_pos = | + * b_pos = | + * c_pos = | + */ +static size_t +VpSetPTR(Real *a, Real *b, Real *c, size_t *a_pos, size_t *b_pos, size_t *c_pos, DECDIG *av, DECDIG *bv) +{ + size_t left_word, right_word, word_shift; + + size_t const round_limit = (VpGetPrecLimit() + BASE_FIG - 1) / BASE_FIG; + + assert(a->exponent >= b->exponent); + + c->frac[0] = 0; + *av = *bv = 0; + + word_shift = (a->exponent - b->exponent); + left_word = b->Prec + word_shift; + right_word = Max(a->Prec, left_word); + left_word = c->MaxPrec - 1; /* -1 ... prepare for round up */ + + /* + * check if 'round' is needed. + */ + if (right_word > left_word) { /* round ? */ + /*--------------------------------- + * Actual size of a = xxxxxxAxx + * Actual size of b = xxxBxxxxx + * Max. size of c = xxxxxx + * Round off = |-----| + * c_pos = | + * right_word = | + * a_pos = | + */ + *c_pos = right_word = left_word + 1; /* Set resulting precision */ + /* be equal to that of c */ + if (a->Prec >= c->MaxPrec) { + /* + * a = xxxxxxAxxx + * c = xxxxxx + * a_pos = | + */ + *a_pos = left_word; + if (*a_pos <= round_limit) { + *av = a->frac[*a_pos]; /* av is 'A' shown in above. */ + } + } + else { + /* + * a = xxxxxxx + * c = xxxxxxxxxx + * a_pos = | + */ + *a_pos = a->Prec; + } + if (b->Prec + word_shift >= c->MaxPrec) { + /* + * a = xxxxxxxxx + * b = xxxxxxxBxxx + * c = xxxxxxxxxxx + * b_pos = | + */ + if (c->MaxPrec >= word_shift + 1) { + *b_pos = c->MaxPrec - word_shift - 1; + if (*b_pos + word_shift <= round_limit) { + *bv = b->frac[*b_pos]; + } + } + else { + *b_pos = -1L; + } + } + else { + /* + * a = xxxxxxxxxxxxxxxx + * b = xxxxxx + * c = xxxxxxxxxxxxx + * b_pos = | + */ + *b_pos = b->Prec; + } + } + else { /* The MaxPrec of c - 1 > The Prec of a + b */ + /* + * a = xxxxxxx + * b = xxxxxx + * c = xxxxxxxxxxx + * c_pos = | + */ + *b_pos = b->Prec; + *a_pos = a->Prec; + *c_pos = right_word + 1; + } + c->Prec = *c_pos; + c->exponent = a->exponent; + if (!AddExponent(c, 1)) return (size_t)-1L; + return word_shift; +} + +/* + * Return number of significant digits + * c = a * b , Where a = a0a1a2 ... an + * b = b0b1b2 ... bm + * c = c0c1c2 ... cl + * a0 a1 ... an * bm + * a0 a1 ... an * bm-1 + * . . . + * . . . + * a0 a1 .... an * b0 + * +_____________________________ + * c0 c1 c2 ...... cl + * nc <---| + * MaxAB |--------------------| + */ +VP_EXPORT size_t +VpMult(Real *c, Real *a, Real *b) +{ + size_t MxIndA, MxIndB, MxIndAB, MxIndC; + size_t ind_c, i, ii, nc; + size_t ind_as, ind_ae, ind_bs; + DECDIG carry; + DECDIG_DBL s; + Real *w; + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpMult(Enter): a=% \n", a); + VPrint(stdout, " b=% \n", b); + } +#endif /* BIGDECIMAL_DEBUG */ + + if (!VpIsDefOP(c, a, b, OP_SW_MULT)) return 0; /* No significant digit */ + + if (VpIsZero(a) || VpIsZero(b)) { + /* at least a or b is zero */ + VpSetZero(c, VpGetSign(a) * VpGetSign(b)); + return 1; /* 0: 1 significant digit */ + } + + if (VpIsOne(a)) { + VpAsgn(c, b, VpGetSign(a)); + goto Exit; + } + if (VpIsOne(b)) { + VpAsgn(c, a, VpGetSign(b)); + goto Exit; + } + if (b->Prec > a->Prec) { + /* Adjust so that digits(a)>digits(b) */ + w = a; + a = b; + b = w; + } + w = NULL; + MxIndA = a->Prec - 1; + MxIndB = b->Prec - 1; + MxIndC = c->MaxPrec - 1; + MxIndAB = a->Prec + b->Prec - 1; + + if (MxIndC < MxIndAB) { /* The Max. prec. of c < Prec(a)+Prec(b) */ + w = c; + c = NewZeroNolimit(1, (size_t)((MxIndAB + 1) * BASE_FIG)); + MxIndC = MxIndAB; + } + + /* set LHSV c info */ + + c->exponent = a->exponent; /* set exponent */ + if (!AddExponent(c, b->exponent)) { + if (w) rbd_free_struct(c); + return 0; + } + VpSetSign(c, VpGetSign(a) * VpGetSign(b)); /* set sign */ + carry = 0; + nc = ind_c = MxIndAB; + memset(c->frac, 0, (nc + 1) * sizeof(DECDIG)); /* Initialize c */ + c->Prec = nc + 1; /* set precision */ + for (nc = 0; nc < MxIndAB; ++nc, --ind_c) { + if (nc < MxIndB) { /* The left triangle of the Fig. */ + ind_as = MxIndA - nc; + ind_ae = MxIndA; + ind_bs = MxIndB; + } + else if (nc <= MxIndA) { /* The middle rectangular of the Fig. */ + ind_as = MxIndA - nc; + ind_ae = MxIndA - (nc - MxIndB); + ind_bs = MxIndB; + } + else /* if (nc > MxIndA) */ { /* The right triangle of the Fig. */ + ind_as = 0; + ind_ae = MxIndAB - nc - 1; + ind_bs = MxIndB - (nc - MxIndA); + } + + for (i = ind_as; i <= ind_ae; ++i) { + s = (DECDIG_DBL)a->frac[i] * b->frac[ind_bs--]; + carry = (DECDIG)(s / BASE); + s -= (DECDIG_DBL)carry * BASE; + c->frac[ind_c] += (DECDIG)s; + if (c->frac[ind_c] >= BASE) { + s = c->frac[ind_c] / BASE; + carry += (DECDIG)s; + c->frac[ind_c] -= (DECDIG)(s * BASE); + } + if (carry) { + ii = ind_c; + while (ii-- > 0) { + c->frac[ii] += carry; + if (c->frac[ii] >= BASE) { + carry = c->frac[ii] / BASE; + c->frac[ii] -= (carry * BASE); + } + else { + break; + } + } + } + } + } + if (w != NULL) { /* free work variable */ + VpNmlz(c); + VpAsgn(w, c, 1); + rbd_free_struct(c); + c = w; + } + else { + VpLimitRound(c,0); + } + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpMult(c=a*b): c=% \n", c); + VPrint(stdout, " a=% \n", a); + VPrint(stdout, " b=% \n", b); + } +#endif /*BIGDECIMAL_DEBUG */ + return c->Prec*BASE_FIG; +} + +/* + * c = a / b, remainder = r + */ +VP_EXPORT size_t +VpDivd(Real *c, Real *r, Real *a, Real *b) +{ + size_t word_a, word_b, word_c, word_r; + size_t i, n, ind_a, ind_b, ind_c, ind_r; + size_t nLoop; + DECDIG_DBL q, b1, b1p1, b1b2, b1b2p1, r1r2; + DECDIG borrow, borrow1, borrow2; + DECDIG_DBL qb; + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, " VpDivd(c=a/b) a=% \n", a); + VPrint(stdout, " b=% \n", b); + } +#endif /*BIGDECIMAL_DEBUG */ + + VpSetNaN(r); + if (!VpIsDefOP(c, a, b, OP_SW_DIV)) goto Exit; + if (VpIsZero(a) && VpIsZero(b)) { + VpSetNaN(c); + return VpException(VP_EXCEPTION_NaN, "Computation results to 'NaN'", 0); + } + if (VpIsZero(b)) { + VpSetInf(c, VpGetSign(a) * VpGetSign(b)); + return VpException(VP_EXCEPTION_ZERODIVIDE, "Divide by zero", 0); + } + if (VpIsZero(a)) { + /* numerator a is zero */ + VpSetZero(c, VpGetSign(a) * VpGetSign(b)); + VpSetZero(r, VpGetSign(a) * VpGetSign(b)); + goto Exit; + } + if (VpIsOne(b)) { + /* divide by one */ + VpAsgn(c, a, VpGetSign(b)); + VpSetZero(r, VpGetSign(a)); + goto Exit; + } + + word_a = a->Prec; + word_b = b->Prec; + word_c = c->MaxPrec; + word_r = r->MaxPrec; + + if (word_a >= word_r || word_b + word_c - 2 >= word_r) goto space_error; + + ind_r = 1; + r->frac[0] = 0; + while (ind_r <= word_a) { + r->frac[ind_r] = a->frac[ind_r - 1]; + ++ind_r; + } + while (ind_r < word_r) r->frac[ind_r++] = 0; + + ind_c = 0; + while (ind_c < word_c) c->frac[ind_c++] = 0; + + /* initial procedure */ + b1 = b1p1 = b->frac[0]; + if (b->Prec <= 1) { + b1b2p1 = b1b2 = b1p1 * BASE; + } + else { + b1p1 = b1 + 1; + b1b2p1 = b1b2 = b1 * BASE + b->frac[1]; + if (b->Prec > 2) ++b1b2p1; + } + + /* */ + /* loop start */ + ind_c = word_r - 1; + nLoop = Min(word_c,ind_c); + ind_c = 1; + while (ind_c < nLoop) { + if (r->frac[ind_c] == 0) { + ++ind_c; + continue; + } + r1r2 = (DECDIG_DBL)r->frac[ind_c] * BASE + r->frac[ind_c + 1]; + if (r1r2 == b1b2) { + /* The first two word digits is the same */ + ind_b = 2; + ind_a = ind_c + 2; + while (ind_b < word_b) { + if (r->frac[ind_a] < b->frac[ind_b]) goto div_b1p1; + if (r->frac[ind_a] > b->frac[ind_b]) break; + ++ind_a; + ++ind_b; + } + /* The first few word digits of r and b is the same and */ + /* the first different word digit of w is greater than that */ + /* of b, so quotient is 1 and just subtract b from r. */ + borrow = 0; /* quotient=1, then just r-b */ + ind_b = b->Prec - 1; + ind_r = ind_c + ind_b; + if (ind_r >= word_r) goto space_error; + n = ind_b; + for (i = 0; i <= n; ++i) { + if (r->frac[ind_r] < b->frac[ind_b] + borrow) { + r->frac[ind_r] += (BASE - (b->frac[ind_b] + borrow)); + borrow = 1; + } + else { + r->frac[ind_r] = r->frac[ind_r] - b->frac[ind_b] - borrow; + borrow = 0; + } + --ind_r; + --ind_b; + } + ++c->frac[ind_c]; + goto carry; + } + /* The first two word digits is not the same, */ + /* then compare magnitude, and divide actually. */ + if (r1r2 >= b1b2p1) { + q = r1r2 / b1b2p1; /* q == (DECDIG)q */ + c->frac[ind_c] += (DECDIG)q; + ind_r = b->Prec + ind_c - 1; + goto sub_mult; + } + +div_b1p1: + if (ind_c + 1 >= word_c) goto out_side; + q = r1r2 / b1p1; /* q == (DECDIG)q */ + c->frac[ind_c + 1] += (DECDIG)q; + ind_r = b->Prec + ind_c; + +sub_mult: + borrow1 = borrow2 = 0; + ind_b = word_b - 1; + if (ind_r >= word_r) goto space_error; + n = ind_b; + for (i = 0; i <= n; ++i) { + /* now, perform r = r - q * b */ + qb = q * b->frac[ind_b]; + if (qb < BASE) borrow1 = 0; + else { + borrow1 = (DECDIG)(qb / BASE); + qb -= (DECDIG_DBL)borrow1 * BASE; /* get qb < BASE */ + } + if(r->frac[ind_r] < qb) { + r->frac[ind_r] += (DECDIG)(BASE - qb); + borrow2 = borrow2 + borrow1 + 1; + } + else { + r->frac[ind_r] -= (DECDIG)qb; + borrow2 += borrow1; + } + if (borrow2) { + if(r->frac[ind_r - 1] < borrow2) { + r->frac[ind_r - 1] += (BASE - borrow2); + borrow2 = 1; + } + else { + r->frac[ind_r - 1] -= borrow2; + borrow2 = 0; + } + } + --ind_r; + --ind_b; + } + + r->frac[ind_r] -= borrow2; +carry: + ind_r = ind_c; + while (c->frac[ind_r] >= BASE) { + c->frac[ind_r] -= BASE; + --ind_r; + ++c->frac[ind_r]; + } + } + /* End of operation, now final arrangement */ +out_side: + c->Prec = word_c; + c->exponent = a->exponent; + if (!AddExponent(c, 2)) return 0; + if (!AddExponent(c, -(b->exponent))) return 0; + + VpSetSign(c, VpGetSign(a) * VpGetSign(b)); + VpNmlz(c); /* normalize c */ + r->Prec = word_r; + r->exponent = a->exponent; + if (!AddExponent(r, 1)) return 0; + VpSetSign(r, VpGetSign(a)); + VpNmlz(r); /* normalize r(remainder) */ + goto Exit; + +space_error: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + printf(" word_a=%"PRIuSIZE"\n", word_a); + printf(" word_b=%"PRIuSIZE"\n", word_b); + printf(" word_c=%"PRIuSIZE"\n", word_c); + printf(" word_r=%"PRIuSIZE"\n", word_r); + printf(" ind_r =%"PRIuSIZE"\n", ind_r); + } +#endif /* BIGDECIMAL_DEBUG */ + rb_bug("ERROR(VpDivd): space for remainder too small."); + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, " VpDivd(c=a/b), c=% \n", c); + VPrint(stdout, " r=% \n", r); + } +#endif /* BIGDECIMAL_DEBUG */ + return c->Prec * BASE_FIG; +} + +/* + * Input a = 00000xxxxxxxx En(5 preceding zeros) + * Output a = xxxxxxxx En-5 + */ +static int +VpNmlz(Real *a) +{ + size_t ind_a, i; + + if (!VpIsDef(a)) goto NoVal; + if (VpIsZero(a)) goto NoVal; + + ind_a = a->Prec; + while (ind_a--) { + if (a->frac[ind_a]) { + a->Prec = ind_a + 1; + i = 0; + while (a->frac[i] == 0) ++i; /* skip the first few zeros */ + if (i) { + a->Prec -= i; + if (!AddExponent(a, -(SIGNED_VALUE)i)) return 0; + memmove(&a->frac[0], &a->frac[i], a->Prec*sizeof(DECDIG)); + } + return 1; + } + } + /* a is zero(no non-zero digit) */ + VpSetZero(a, VpGetSign(a)); + return 0; + +NoVal: + a->frac[0] = 0; + a->Prec = 1; + return 0; +} + +/* + * VpComp = 0 ... if a=b, + * Pos ... a>b, + * Neg ... a<b. + * 999 ... result undefined(NaN) + */ +VP_EXPORT int +VpComp(Real *a, Real *b) +{ + int val; + size_t mx, ind; + int e; + val = 0; + if (VpIsNaN(a) || VpIsNaN(b)) return 999; + if (!VpIsDef(a)) { + if (!VpIsDef(b)) e = a->sign - b->sign; + else e = a->sign; + + if (e > 0) return 1; + else if (e < 0) return -1; + else return 0; + } + if (!VpIsDef(b)) { + e = -b->sign; + if (e > 0) return 1; + else return -1; + } + /* Zero check */ + if (VpIsZero(a)) { + if (VpIsZero(b)) return 0; /* both zero */ + val = -VpGetSign(b); + goto Exit; + } + if (VpIsZero(b)) { + val = VpGetSign(a); + goto Exit; + } + + /* compare sign */ + if (VpGetSign(a) > VpGetSign(b)) { + val = 1; /* a>b */ + goto Exit; + } + if (VpGetSign(a) < VpGetSign(b)) { + val = -1; /* a<b */ + goto Exit; + } + + /* a and b have same sign, && sign!=0,then compare exponent */ + if (a->exponent > b->exponent) { + val = VpGetSign(a); + goto Exit; + } + if (a->exponent < b->exponent) { + val = -VpGetSign(b); + goto Exit; + } + + /* a and b have same exponent, then compare their significand. */ + mx = (a->Prec < b->Prec) ? a->Prec : b->Prec; + ind = 0; + while (ind < mx) { + if (a->frac[ind] > b->frac[ind]) { + val = VpGetSign(a); + goto Exit; + } + if (a->frac[ind] < b->frac[ind]) { + val = -VpGetSign(b); + goto Exit; + } + ++ind; + } + if (a->Prec > b->Prec) { + val = VpGetSign(a); + } + else if (a->Prec < b->Prec) { + val = -VpGetSign(b); + } + +Exit: + if (val > 1) val = 1; + else if (val < -1) val = -1; + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, " VpComp a=%\n", a); + VPrint(stdout, " b=%\n", b); + printf(" ans=%d\n", val); + } +#endif /* BIGDECIMAL_DEBUG */ + return (int)val; +} + +/* + * cntl_chr ... ASCIIZ Character, print control characters + * Available control codes: + * % ... VP variable. To print '%', use '%%'. + * \n ... new line + * \b ... backspace + * \t ... tab + * Note: % must not appear more than once + * a ... VP variable to be printed + */ +static int +VPrint(FILE *fp, const char *cntl_chr, Real *a) +{ + size_t i, j, nc, nd, ZeroSup, sep = 10; + DECDIG m, e, nn; + + j = 0; + nd = nc = 0; /* nd : number of digits in fraction part(every 10 digits, */ + /* nd<=10). */ + /* nc : number of characters printed */ + ZeroSup = 1; /* Flag not to print the leading zeros as 0.00xxxxEnn */ + while (*(cntl_chr + j)) { + if (*(cntl_chr + j) == '%' && *(cntl_chr + j + 1) != '%') { + nc = 0; + if (VpIsNaN(a)) { + fprintf(fp, SZ_NaN); + nc += 8; + } + else if (VpIsPosInf(a)) { + fprintf(fp, SZ_INF); + nc += 8; + } + else if (VpIsNegInf(a)) { + fprintf(fp, SZ_NINF); + nc += 9; + } + else if (!VpIsZero(a)) { + if (BIGDECIMAL_NEGATIVE_P(a)) { + fprintf(fp, "-"); + ++nc; + } + nc += fprintf(fp, "0."); + switch (*(cntl_chr + j + 1)) { + default: + break; + + case '0': case 'z': + ZeroSup = 0; + ++j; + sep = cntl_chr[j] == 'z' ? BIGDECIMAL_COMPONENT_FIGURES : 10; + break; + } + for (i = 0; i < a->Prec; ++i) { + m = BASE1; + e = a->frac[i]; + while (m) { + nn = e / m; + if (!ZeroSup || nn) { + nc += fprintf(fp, "%lu", (unsigned long)nn); /* The leading zero(s) */ + /* as 0.00xx will not */ + /* be printed. */ + ++nd; + ZeroSup = 0; /* Set to print succeeding zeros */ + } + if (nd >= sep) { /* print ' ' after every 10 digits */ + nd = 0; + nc += fprintf(fp, " "); + } + e = e - nn * m; + m /= 10; + } + } + nc += fprintf(fp, "E%"PRIdSIZE, VpExponent10(a)); + nc += fprintf(fp, " (%"PRIdVALUE", %"PRIuSIZE", %"PRIuSIZE")", a->exponent, a->Prec, a->MaxPrec); + } + else { + nc += fprintf(fp, "0.0"); + } + } + else { + ++nc; + if (*(cntl_chr + j) == '\\') { + switch (*(cntl_chr + j + 1)) { + case 'n': + fprintf(fp, "\n"); + ++j; + break; + case 't': + fprintf(fp, "\t"); + ++j; + break; + case 'b': + fprintf(fp, "\n"); + ++j; + break; + default: + fprintf(fp, "%c", *(cntl_chr + j)); + break; + } + } + else { + fprintf(fp, "%c", *(cntl_chr + j)); + if (*(cntl_chr + j) == '%') ++j; + } + } + j++; + } + + return (int)nc; +} + +static void +VpFormatSt(char *psz, size_t fFmt) +{ + size_t ie, i, nf = 0; + char ch; + + if (fFmt == 0) return; + + ie = strlen(psz); + for (i = 0; i < ie; ++i) { + ch = psz[i]; + if (!ch) break; + if (ISSPACE(ch) || ch=='-' || ch=='+') continue; + if (ch == '.') { nf = 0; continue; } + if (ch == 'E' || ch == 'e') break; + + if (++nf > fFmt) { + memmove(psz + i + 1, psz + i, ie - i + 1); + ++ie; + nf = 0; + psz[i] = ' '; + } + } +} + +VP_EXPORT ssize_t +VpExponent10(Real *a) +{ + ssize_t ex; + size_t n; + + if (!VpHasVal(a)) return 0; + + ex = a->exponent * (ssize_t)BASE_FIG; + n = BASE1; + while ((a->frac[0] / n) == 0) { + --ex; + n /= 10; + } + return ex; +} + +VP_EXPORT void +VpSzMantissa(Real *a, char *buf, size_t buflen) +{ + size_t i, n, ZeroSup; + DECDIG_DBL m, e, nn; + + if (VpIsNaN(a)) { + snprintf(buf, buflen, SZ_NaN); + return; + } + if (VpIsPosInf(a)) { + snprintf(buf, buflen, SZ_INF); + return; + } + if (VpIsNegInf(a)) { + snprintf(buf, buflen, SZ_NINF); + return; + } + + ZeroSup = 1; /* Flag not to print the leading zeros as 0.00xxxxEnn */ + if (!VpIsZero(a)) { + if (BIGDECIMAL_NEGATIVE_P(a)) *buf++ = '-'; + n = a->Prec; + for (i = 0; i < n; ++i) { + m = BASE1; + e = a->frac[i]; + while (m) { + nn = e / m; + if (!ZeroSup || nn) { + snprintf(buf, buflen, "%lu", (unsigned long)nn); /* The leading zero(s) */ + buf += strlen(buf); + /* as 0.00xx will be ignored. */ + ZeroSup = 0; /* Set to print succeeding zeros */ + } + e = e - nn * m; + m /= 10; + } + } + *buf = 0; + while (buf[-1] == '0') *(--buf) = 0; + } + else { + if (VpIsPosZero(a)) snprintf(buf, buflen, "0"); + else snprintf(buf, buflen, "-0"); + } +} + +VP_EXPORT int +VpToSpecialString(Real *a, char *buf, size_t buflen, int fPlus) +/* fPlus = 0: default, 1: set ' ' before digits, 2: set '+' before digits. */ +{ + if (VpIsNaN(a)) { + snprintf(buf, buflen, SZ_NaN); + return 1; + } + + if (VpIsPosInf(a)) { + if (fPlus == 1) { + *buf++ = ' '; + } + else if (fPlus == 2) { + *buf++ = '+'; + } + snprintf(buf, buflen, SZ_INF); + return 1; + } + if (VpIsNegInf(a)) { + snprintf(buf, buflen, SZ_NINF); + return 1; + } + if (VpIsZero(a)) { + if (VpIsPosZero(a)) { + if (fPlus == 1) snprintf(buf, buflen, " 0.0"); + else if (fPlus == 2) snprintf(buf, buflen, "+0.0"); + else snprintf(buf, buflen, "0.0"); + } + else snprintf(buf, buflen, "-0.0"); + return 1; + } + return 0; +} + +VP_EXPORT void +VpToString(Real *a, char *buf, size_t buflen, size_t fFmt, int fPlus) +/* fPlus = 0: default, 1: set ' ' before digits, 2: set '+' before digits. */ +{ + size_t i, n, ZeroSup; + DECDIG shift, m, e, nn; + char *p = buf; + size_t plen = buflen; + ssize_t ex; + + if (VpToSpecialString(a, buf, buflen, fPlus)) return; + + ZeroSup = 1; /* Flag not to print the leading zeros as 0.00xxxxEnn */ + +#define ADVANCE(n) do { \ + if (plen < n) goto overflow; \ + p += n; \ + plen -= n; \ +} while (0) + + if (BIGDECIMAL_NEGATIVE_P(a)) { + *p = '-'; + ADVANCE(1); + } + else if (fPlus == 1) { + *p = ' '; + ADVANCE(1); + } + else if (fPlus == 2) { + *p = '+'; + ADVANCE(1); + } + + *p = '0'; ADVANCE(1); + *p = '.'; ADVANCE(1); + + n = a->Prec; + for (i = 0; i < n; ++i) { + m = BASE1; + e = a->frac[i]; + while (m) { + nn = e / m; + if (!ZeroSup || nn) { + /* The reading zero(s) */ + size_t n = (size_t)snprintf(p, plen, "%lu", (unsigned long)nn); + if (n > plen) goto overflow; + ADVANCE(n); + /* as 0.00xx will be ignored. */ + ZeroSup = 0; /* Set to print succeeding zeros */ + } + e = e - nn * m; + m /= 10; + } + } + + ex = a->exponent * (ssize_t)BASE_FIG; + shift = BASE1; + while (a->frac[0] / shift == 0) { + --ex; + shift /= 10; + } + while (p - 1 > buf && p[-1] == '0') { + *(--p) = '\0'; + ++plen; + } + snprintf(p, plen, "e%"PRIdSIZE, ex); + if (fFmt) VpFormatSt(buf, fFmt); + + overflow: + return; +#undef ADVANCE +} + +VP_EXPORT void +VpToFString(Real *a, char *buf, size_t buflen, size_t fFmt, int fPlus) +/* fPlus = 0: default, 1: set ' ' before digits, 2: set '+' before digits. */ +{ + size_t i, n; + DECDIG m, e; + char *p = buf; + size_t plen = buflen, delim = fFmt; + ssize_t ex; + + if (VpToSpecialString(a, buf, buflen, fPlus)) return; + +#define APPEND(c, group) do { \ + if (plen < 1) goto overflow; \ + if (group && delim == 0) { \ + *p = ' '; \ + p += 1; \ + plen -= 1; \ + } \ + if (plen < 1) goto overflow; \ + *p = c; \ + p += 1; \ + plen -= 1; \ + if (group) delim = (delim + 1) % fFmt; \ +} while (0) + + + if (BIGDECIMAL_NEGATIVE_P(a)) { + APPEND('-', false); + } + else if (fPlus == 1) { + APPEND(' ', false); + } + else if (fPlus == 2) { + APPEND('+', false); + } + + n = a->Prec; + ex = a->exponent; + if (ex <= 0) { + APPEND('0', false); + APPEND('.', false); + } + while (ex < 0) { + for (i=0; i < BASE_FIG; ++i) { + APPEND('0', fFmt > 0); + } + ++ex; + } + + for (i = 0; i < n; ++i) { + m = BASE1; + e = a->frac[i]; + if (i == 0 && ex > 0) { + for (delim = 0; e / m == 0; delim++) { + m /= 10; + } + if (fFmt > 0) { + delim = 2*fFmt - (ex * BASE_FIG - delim) % fFmt; + } + } + while (m && (e || (i < n - 1) || ex > 0)) { + APPEND((char)(e / m + '0'), fFmt > 0); + e %= m; + m /= 10; + } + if (--ex == 0) { + APPEND('.', false); + delim = fFmt; + } + } + + while (ex > 0) { + for (i=0; i < BASE_FIG; ++i) { + APPEND('0', fFmt > 0); + } + if (--ex == 0) { + APPEND('.', false); + } + } + + *p = '\0'; + if (p - 1 > buf && p[-1] == '.') { + snprintf(p, plen, "0"); + } + + overflow: + return; +#undef APPEND +} + +/* + * [Output] + * a[] ... variable to be assigned the value. + * [Input] + * int_chr[] ... integer part(may include '+/-'). + * ni ... number of characters in int_chr[],not including '+/-'. + * frac[] ... fraction part. + * nf ... number of characters in frac[]. + * exp_chr[] ... exponent part(including '+/-'). + * ne ... number of characters in exp_chr[],not including '+/-'. + */ +VP_EXPORT int +VpCtoV(Real *a, const char *int_chr, size_t ni, const char *frac, size_t nf, const char *exp_chr, size_t ne) +{ + size_t i, j, ind_a, ma, mi, me; + SIGNED_VALUE e, es, eb, ef; + int sign, signe, exponent_overflow; + + /* get exponent part */ + e = 0; + ma = a->MaxPrec; + mi = ni; + me = ne; + signe = 1; + exponent_overflow = 0; + memset(a->frac, 0, ma * sizeof(DECDIG)); + if (ne > 0) { + i = 0; + if (exp_chr[0] == '-') { + signe = -1; + ++i; + ++me; + } + else if (exp_chr[0] == '+') { + ++i; + ++me; + } + while (i < me) { + if (MUL_OVERFLOW_SIGNED_VALUE_P(e, (SIGNED_VALUE)BASE_FIG)) { + es = e; + goto exp_overflow; + } + es = e * (SIGNED_VALUE)BASE_FIG; + if (MUL_OVERFLOW_SIGNED_VALUE_P(e, 10) || + SIGNED_VALUE_MAX - (exp_chr[i] - '0') < e * 10) + goto exp_overflow; + e = e * 10 + exp_chr[i] - '0'; + if (MUL_OVERFLOW_SIGNED_VALUE_P(e, (SIGNED_VALUE)BASE_FIG)) + goto exp_overflow; + if (es > (SIGNED_VALUE)(e * BASE_FIG)) { + exp_overflow: + exponent_overflow = 1; + e = es; /* keep sign */ + break; + } + ++i; + } + } + + /* get integer part */ + i = 0; + sign = 1; + if (1 /*ni >= 0*/) { + if (int_chr[0] == '-') { + sign = -1; + ++i; + ++mi; + } + else if (int_chr[0] == '+') { + ++i; + ++mi; + } + } + + e = signe * e; /* e: The value of exponent part. */ + e = e + ni; /* set actual exponent size. */ + + if (e > 0) signe = 1; + else signe = -1; + + /* Adjust the exponent so that it is the multiple of BASE_FIG. */ + j = 0; + ef = 1; + while (ef) { + if (e >= 0) eb = e; + else eb = -e; + ef = eb / (SIGNED_VALUE)BASE_FIG; + ef = eb - ef * (SIGNED_VALUE)BASE_FIG; + if (ef) { + ++j; /* Means to add one more preceding zero */ + ++e; + } + } + + eb = e / (SIGNED_VALUE)BASE_FIG; + + if (exponent_overflow) { + int zero = 1; + for ( ; i < mi && zero; i++) zero = int_chr[i] == '0'; + for (i = 0; i < nf && zero; i++) zero = frac[i] == '0'; + if (!zero && signe > 0) { + VpSetInf(a, sign); + VpException(VP_EXCEPTION_INFINITY, "exponent overflow",0); + } + else VpSetZero(a, sign); + return 1; + } + + ind_a = 0; + while (i < mi) { + a->frac[ind_a] = 0; + while (j < BASE_FIG && i < mi) { + a->frac[ind_a] = a->frac[ind_a] * 10 + int_chr[i] - '0'; + ++j; + ++i; + } + if (i < mi) { + ++ind_a; + if (ind_a >= ma) goto over_flow; + j = 0; + } + } + + /* get fraction part */ + + i = 0; + while (i < nf) { + while (j < BASE_FIG && i < nf) { + a->frac[ind_a] = a->frac[ind_a] * 10 + frac[i] - '0'; + ++j; + ++i; + } + if (i < nf) { + ++ind_a; + if (ind_a >= ma) goto over_flow; + j = 0; + } + } + goto Final; + +over_flow: + rb_warn("Conversion from String to BigDecimal overflow (last few digits discarded)."); + +Final: + if (ind_a >= ma) ind_a = ma - 1; + while (j < BASE_FIG) { + a->frac[ind_a] = a->frac[ind_a] * 10; + ++j; + } + a->Prec = ind_a + 1; + a->exponent = eb; + VpSetSign(a, sign); + VpNmlz(a); + return 1; +} + +/* + * [Input] + * *m ... Real + * [Output] + * *d ... fraction part of m(d = 0.xxxxxxx). where # of 'x's is fig. + * *e ... exponent of m. + * BIGDECIMAL_DOUBLE_FIGURES ... Number of digits in a double variable. + * + * m -> d*10**e, 0<d<BASE + * [Returns] + * 0 ... Zero + * 1 ... Normal + * 2 ... Infinity + * -1 ... NaN + */ +VP_EXPORT int +VpVtoD(double *d, SIGNED_VALUE *e, Real *m) +{ + size_t ind_m, mm, fig; + double div; + int f = 1; + + if (VpIsNaN(m)) { + *d = VpGetDoubleNaN(); + *e = 0; + f = -1; /* NaN */ + goto Exit; + } + else if (VpIsPosZero(m)) { + *d = 0.0; + *e = 0; + f = 0; + goto Exit; + } + else if (VpIsNegZero(m)) { + *d = VpGetDoubleNegZero(); + *e = 0; + f = 0; + goto Exit; + } + else if (VpIsPosInf(m)) { + *d = VpGetDoublePosInf(); + *e = 0; + f = 2; + goto Exit; + } + else if (VpIsNegInf(m)) { + *d = VpGetDoubleNegInf(); + *e = 0; + f = 2; + goto Exit; + } + /* Normal number */ + fig = roomof(BIGDECIMAL_DOUBLE_FIGURES, BASE_FIG); + ind_m = 0; + mm = Min(fig, m->Prec); + *d = 0.0; + div = 1.; + while (ind_m < mm) { + div /= (double)BASE; + *d = *d + (double)m->frac[ind_m++] * div; + } + *e = m->exponent * (SIGNED_VALUE)BASE_FIG; + *d *= VpGetSign(m); + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, " VpVtoD: m=%\n", m); + printf(" d=%e * 10 **%ld\n", *d, *e); + printf(" BIGDECIMAL_DOUBLE_FIGURES = %d\n", BIGDECIMAL_DOUBLE_FIGURES); + } +#endif /*BIGDECIMAL_DEBUG */ + return f; +} + +/* + * m <- d + */ +VP_EXPORT void +VpDtoV(Real *m, double d) +{ + size_t ind_m, mm; + SIGNED_VALUE ne; + DECDIG i; + double val, val2; + + if (isnan(d)) { + VpSetNaN(m); + goto Exit; + } + if (isinf(d)) { + if (d > 0.0) VpSetPosInf(m); + else VpSetNegInf(m); + goto Exit; + } + + if (d == 0.0) { + VpSetZero(m, 1); + goto Exit; + } + val = (d > 0.) ? d : -d; + ne = 0; + if (val >= 1.0) { + while (val >= 1.0) { + val /= (double)BASE; + ++ne; + } + } + else { + val2 = 1.0 / (double)BASE; + while (val < val2) { + val *= (double)BASE; + --ne; + } + } + /* Now val = 0.xxxxx*BASE**ne */ + + mm = m->MaxPrec; + memset(m->frac, 0, mm * sizeof(DECDIG)); + for (ind_m = 0; val > 0.0 && ind_m < mm; ind_m++) { + val *= (double)BASE; + i = (DECDIG)val; + val -= (double)i; + m->frac[ind_m] = i; + } + if (ind_m >= mm) ind_m = mm - 1; + VpSetSign(m, (d > 0.0) ? 1 : -1); + m->Prec = ind_m + 1; + m->exponent = ne; + + VpInternalRound(m, 0, (m->Prec > 0) ? m->frac[m->Prec-1] : 0, + (DECDIG)(val*(double)BASE)); + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + printf("VpDtoV d=%30.30e\n", d); + VPrint(stdout, " m=%\n", m); + } +#endif /* BIGDECIMAL_DEBUG */ + return; +} + +/* + * m <- ival + */ +#if 0 /* unused */ +VP_EXPORT void +VpItoV(Real *m, SIGNED_VALUE ival) +{ + size_t mm, ind_m; + size_t val, v1, v2, v; + int isign; + SIGNED_VALUE ne; + + if (ival == 0) { + VpSetZero(m, 1); + goto Exit; + } + isign = 1; + val = ival; + if (ival < 0) { + isign = -1; + val =(size_t)(-ival); + } + ne = 0; + ind_m = 0; + mm = m->MaxPrec; + while (ind_m < mm) { + m->frac[ind_m] = 0; + ++ind_m; + } + ind_m = 0; + while (val > 0) { + if (val) { + v1 = val; + v2 = 1; + while (v1 >= BASE) { + v1 /= BASE; + v2 *= BASE; + } + val = val - v2 * v1; + v = v1; + } + else { + v = 0; + } + m->frac[ind_m] = v; + ++ind_m; + ++ne; + } + m->Prec = ind_m - 1; + m->exponent = ne; + VpSetSign(m, isign); + VpNmlz(m); + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + printf(" VpItoV i=%d\n", ival); + VPrint(stdout, " m=%\n", m); + } +#endif /* BIGDECIMAL_DEBUG */ + return; +} +#endif + +/* + * y = SQRT(x), y*y - x =>0 + */ +VP_EXPORT int +VpSqrt(Real *y, Real *x) +{ + Real *f = NULL; + Real *r = NULL; + size_t y_prec; + SIGNED_VALUE n, e; + ssize_t nr; + double val; + + /* Zero or +Infinity ? */ + if (VpIsZero(x) || VpIsPosInf(x)) { + VpAsgn(y,x,1); + goto Exit; + } + + /* Negative ? */ + if (BIGDECIMAL_NEGATIVE_P(x)) { + VpSetNaN(y); + return VpException(VP_EXCEPTION_OP, "sqrt of negative value", 0); + } + + /* NaN ? */ + if (VpIsNaN(x)) { + VpSetNaN(y); + return VpException(VP_EXCEPTION_OP, "sqrt of 'NaN'(Not a Number)", 0); + } + + /* One ? */ + if (VpIsOne(x)) { + VpSetOne(y); + goto Exit; + } + + n = (SIGNED_VALUE)y->MaxPrec; + if (x->MaxPrec > (size_t)n) n = (ssize_t)x->MaxPrec; + + /* allocate temporally variables */ + /* TODO: reconsider MaxPrec of f and r */ + f = NewOneNolimit(1, y->MaxPrec * (BASE_FIG + 2)); + r = NewOneNolimit(1, (n + n) * (BASE_FIG + 2)); + + nr = 0; + y_prec = y->MaxPrec; + + VpVtoD(&val, &e, x); /* val <- x */ + e /= (SIGNED_VALUE)BASE_FIG; + n = e / 2; + if (e - n * 2 != 0) { + val /= BASE; + n = (e + 1) / 2; + } + VpDtoV(y, sqrt(val)); /* y <- sqrt(val) */ + y->exponent += n; + n = (SIGNED_VALUE)roomof(BIGDECIMAL_DOUBLE_FIGURES, BASE_FIG); + y->MaxPrec = Min((size_t)n , y_prec); + f->MaxPrec = y->MaxPrec + 1; + n = (SIGNED_VALUE)(y_prec * BASE_FIG); + if (n > (SIGNED_VALUE)maxnr) n = (SIGNED_VALUE)maxnr; + + /* + * Perform: y_{n+1} = (y_n - x/y_n) / 2 + */ + do { + y->MaxPrec *= 2; + if (y->MaxPrec > y_prec) y->MaxPrec = y_prec; + f->MaxPrec = y->MaxPrec; + VpDivd(f, r, x, y); /* f = x/y */ + VpAddSub(r, f, y, -1); /* r = f - y */ + VpMult(f, VpConstPt5, r); /* f = 0.5*r */ + if (VpIsZero(f)) + goto converge; + VpAddSub(r, f, y, 1); /* r = y + f */ + VpAsgn(y, r, 1); /* y = r */ + } while (++nr < n); + +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + printf("ERROR(VpSqrt): did not converge within %ld iterations.\n", nr); + } +#endif /* BIGDECIMAL_DEBUG */ + y->MaxPrec = y_prec; + +converge: + VpChangeSign(y, 1); +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VpMult(r, y, y); + VpAddSub(f, x, r, -1); + printf("VpSqrt: iterations = %"PRIdSIZE"\n", nr); + VPrint(stdout, " y =% \n", y); + VPrint(stdout, " x =% \n", x); + VPrint(stdout, " x-y*y = % \n", f); + } +#endif /* BIGDECIMAL_DEBUG */ + y->MaxPrec = y_prec; + +Exit: + rbd_free_struct(f); + rbd_free_struct(r); + return 1; +} + +/* + * Round relatively from the decimal point. + * f: rounding mode + * nf: digit location to round from the decimal point. + */ +VP_EXPORT int +VpMidRound(Real *y, unsigned short f, ssize_t nf) +{ + /* fracf: any positive digit under rounding position? */ + /* fracf_1further: any positive digits under one further than the rounding position? */ + /* exptoadd: number of digits needed to compensate negative nf */ + int fracf, fracf_1further; + ssize_t n,i,ix,ioffset, exptoadd; + DECDIG v, shifter; + DECDIG div; + + nf += y->exponent * (ssize_t)BASE_FIG; + exptoadd=0; + if (nf < 0) { + /* rounding position too left(large). */ + if (f != VP_ROUND_CEIL && f != VP_ROUND_FLOOR) { + VpSetZero(y, VpGetSign(y)); /* truncate everything */ + return 0; + } + exptoadd = -nf; + nf = 0; + } + + ix = nf / (ssize_t)BASE_FIG; + if ((size_t)ix >= y->Prec) return 0; /* rounding position too right(small). */ + v = y->frac[ix]; + + ioffset = nf - ix*(ssize_t)BASE_FIG; + n = (ssize_t)BASE_FIG - ioffset - 1; + for (shifter = 1, i = 0; i < n; ++i) shifter *= 10; + + /* so the representation used (in y->frac) is an array of DECDIG, where + each DECDIG contains a value between 0 and BASE-1, consisting of BASE_FIG + decimal places. + + (that numbers of decimal places are typed as ssize_t is somewhat confusing) + + nf is now position (in decimal places) of the digit from the start of + the array. + + ix is the position (in DECDIGs) of the DECDIG containing the decimal digit, + from the start of the array. + + v is the value of this DECDIG + + ioffset is the number of extra decimal places along of this decimal digit + within v. + + n is the number of decimal digits remaining within v after this decimal digit + shifter is 10**n, + + v % shifter are the remaining digits within v + v % (shifter * 10) are the digit together with the remaining digits within v + v / shifter are the digit's predecessors together with the digit + div = v / shifter / 10 is just the digit's precessors + (v / shifter) - div*10 is just the digit, which is what v ends up being reassigned to. + */ + + fracf = (v % (shifter * 10) > 0); + fracf_1further = ((v % shifter) > 0); + + v /= shifter; + div = v / 10; + v = v - div*10; + /* now v is just the digit required. + now fracf is whether the digit or any of the remaining digits within v are non-zero + now fracf_1further is whether any of the remaining digits within v are non-zero + */ + + /* now check all the remaining DECDIGs for zero-ness a whole DECDIG at a time. + if we spot any non-zeroness, that means that we found a positive digit under + rounding position, and we also found a positive digit under one further than + the rounding position, so both searches (to see if any such non-zero digit exists) + can stop */ + + for (i = ix + 1; (size_t)i < y->Prec; i++) { + if (y->frac[i] % BASE) { + fracf = fracf_1further = 1; + break; + } + } + + /* now fracf = does any positive digit exist under the rounding position? + now fracf_1further = does any positive digit exist under one further than the + rounding position? + now v = the first digit under the rounding position */ + + /* drop digits after pointed digit */ + memset(y->frac + ix + 1, 0, (y->Prec - (ix + 1)) * sizeof(DECDIG)); + + switch (f) { + case VP_ROUND_DOWN: /* Truncate */ + break; + case VP_ROUND_UP: /* Roundup */ + if (fracf) ++div; + break; + case VP_ROUND_HALF_UP: + if (v>=5) ++div; + break; + case VP_ROUND_HALF_DOWN: + if (v > 5 || (v == 5 && fracf_1further)) ++div; + break; + case VP_ROUND_CEIL: + if (fracf && BIGDECIMAL_POSITIVE_P(y)) ++div; + break; + case VP_ROUND_FLOOR: + if (fracf && BIGDECIMAL_NEGATIVE_P(y)) ++div; + break; + case VP_ROUND_HALF_EVEN: /* Banker's rounding */ + if (v > 5) ++div; + else if (v == 5) { + if (fracf_1further) { + ++div; + } + else { + if (ioffset == 0) { + /* v is the first decimal digit of its DECDIG; + need to grab the previous DECDIG if present + to check for evenness of the previous decimal + digit (which is same as that of the DECDIG since + base 10 has a factor of 2) */ + if (ix && (y->frac[ix-1] % 2)) ++div; + } + else { + if (div % 2) ++div; + } + } + } + break; + } + for (i = 0; i <= n; ++i) div *= 10; + if (div >= BASE) { + if (ix) { + y->frac[ix] = 0; + VpRdup(y, ix); + } + else { + short s = VpGetSign(y); + SIGNED_VALUE e = y->exponent; + VpSetOne(y); + VpSetSign(y, s); + y->exponent = e + 1; + } + } + else { + y->frac[ix] = div; + VpNmlz(y); + } + if (exptoadd > 0) { + y->exponent += (SIGNED_VALUE)(exptoadd / BASE_FIG); + exptoadd %= (ssize_t)BASE_FIG; + for (i = 0; i < exptoadd; i++) { + y->frac[0] *= 10; + if (y->frac[0] >= BASE) { + y->frac[0] /= BASE; + y->exponent++; + } + } + } + return 1; +} + +VP_EXPORT int +VpLeftRound(Real *y, unsigned short f, ssize_t nf) +/* + * Round from the left hand side of the digits. + */ +{ + DECDIG v; + if (!VpHasVal(y)) return 0; /* Unable to round */ + v = y->frac[0]; + nf -= VpExponent(y) * (ssize_t)BASE_FIG; + while ((v /= 10) != 0) nf--; + nf += (ssize_t)BASE_FIG-1; + return VpMidRound(y, f, nf); +} + +VP_EXPORT int +VpActiveRound(Real *y, Real *x, unsigned short f, ssize_t nf) +{ + /* First,assign whole value in truncation mode */ + if (VpAsgn(y, x, 10) <= 1) return 0; /* Zero,NaN,or Infinity */ + return VpMidRound(y, f, nf); +} + +static int +VpLimitRound(Real *c, size_t ixDigit) +{ + size_t ix = VpGetPrecLimit(); + if (!VpNmlz(c)) return -1; + if (!ix) return 0; + if (!ixDigit) ixDigit = c->Prec-1; + if ((ix + BASE_FIG - 1) / BASE_FIG > ixDigit + 1) return 0; + return VpLeftRound(c, VpGetRoundMode(), (ssize_t)ix); +} + +/* If I understand correctly, this is only ever used to round off the final decimal + digit of precision */ +static void +VpInternalRound(Real *c, size_t ixDigit, DECDIG vPrev, DECDIG v) +{ + int f = 0; + + unsigned short const rounding_mode = VpGetRoundMode(); + + if (VpLimitRound(c, ixDigit)) return; + if (!v) return; + + v /= BASE1; + switch (rounding_mode) { + case VP_ROUND_DOWN: + break; + case VP_ROUND_UP: + if (v) f = 1; + break; + case VP_ROUND_HALF_UP: + if (v >= 5) f = 1; + break; + case VP_ROUND_HALF_DOWN: + /* this is ok - because this is the last digit of precision, + the case where v == 5 and some further digits are nonzero + will never occur */ + if (v >= 6) f = 1; + break; + case VP_ROUND_CEIL: + if (v && BIGDECIMAL_POSITIVE_P(c)) f = 1; + break; + case VP_ROUND_FLOOR: + if (v && BIGDECIMAL_NEGATIVE_P(c)) f = 1; + break; + case VP_ROUND_HALF_EVEN: /* Banker's rounding */ + /* as per VP_ROUND_HALF_DOWN, because this is the last digit of precision, + there is no case to worry about where v == 5 and some further digits are nonzero */ + if (v > 5) f = 1; + else if (v == 5 && vPrev % 2) f = 1; + break; + } + if (f) { + VpRdup(c, ixDigit); + VpNmlz(c); + } +} + +/* + * Rounds up m(plus one to final digit of m). + */ +static int +VpRdup(Real *m, size_t ind_m) +{ + DECDIG carry; + + if (!ind_m) ind_m = m->Prec; + + carry = 1; + while (carry > 0 && ind_m--) { + m->frac[ind_m] += carry; + if (m->frac[ind_m] >= BASE) m->frac[ind_m] -= BASE; + else carry = 0; + } + if (carry > 0) { /* Overflow,count exponent and set fraction part be 1 */ + if (!AddExponent(m, 1)) return 0; + m->Prec = m->frac[0] = 1; + } + else { + VpNmlz(m); + } + return 1; +} + +/* + * y = x - fix(x) + */ +VP_EXPORT void +VpFrac(Real *y, Real *x) +{ + size_t my, ind_y, ind_x; + + if (!VpHasVal(x)) { + VpAsgn(y, x, 1); + goto Exit; + } + + if (x->exponent > 0 && (size_t)x->exponent >= x->Prec) { + VpSetZero(y, VpGetSign(x)); + goto Exit; + } + else if (x->exponent <= 0) { + VpAsgn(y, x, 1); + goto Exit; + } + + /* satisfy: x->exponent > 0 */ + + y->Prec = x->Prec - (size_t)x->exponent; + y->Prec = Min(y->Prec, y->MaxPrec); + y->exponent = 0; + VpSetSign(y, VpGetSign(x)); + ind_y = 0; + my = y->Prec; + ind_x = x->exponent; + while (ind_y < my) { + y->frac[ind_y] = x->frac[ind_x]; + ++ind_y; + ++ind_x; + } + VpNmlz(y); + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpFrac y=%\n", y); + VPrint(stdout, " x=%\n", x); + } +#endif /* BIGDECIMAL_DEBUG */ + return; +} + +/* + * y = x ** n + */ +VP_EXPORT int +VpPowerByInt(Real *y, Real *x, SIGNED_VALUE n) +{ + size_t s, ss; + ssize_t sign; + Real *w1 = NULL; + Real *w2 = NULL; + + if (VpIsZero(x)) { + if (n == 0) { + VpSetOne(y); + goto Exit; + } + sign = VpGetSign(x); + if (n < 0) { + n = -n; + if (sign < 0) sign = (n % 2) ? -1 : 1; + VpSetInf(y, sign); + } + else { + if (sign < 0) sign = (n % 2) ? -1 : 1; + VpSetZero(y,sign); + } + goto Exit; + } + if (VpIsNaN(x)) { + VpSetNaN(y); + goto Exit; + } + if (VpIsInf(x)) { + if (n == 0) { + VpSetOne(y); + goto Exit; + } + if (n > 0) { + VpSetInf(y, (n % 2 == 0 || VpIsPosInf(x)) ? 1 : -1); + goto Exit; + } + VpSetZero(y, (n % 2 == 0 || VpIsPosInf(x)) ? 1 : -1); + goto Exit; + } + + if (x->exponent == 1 && x->Prec == 1 && x->frac[0] == 1) { + /* abs(x) = 1 */ + VpSetOne(y); + if (BIGDECIMAL_POSITIVE_P(x)) goto Exit; + if ((n % 2) == 0) goto Exit; + VpSetSign(y, -1); + goto Exit; + } + + if (n > 0) sign = 1; + else if (n < 0) { + sign = -1; + n = -n; + } + else { + VpSetOne(y); + goto Exit; + } + + /* Allocate working variables */ + /* TODO: reconsider MaxPrec of w1 and w2 */ + w1 = NewZeroNolimit(1, (y->MaxPrec + 2) * BASE_FIG); + w2 = NewZeroNolimit(1, (w1->MaxPrec * 2 + 1) * BASE_FIG); + + /* calculation start */ + + VpAsgn(y, x, 1); + --n; + while (n > 0) { + VpAsgn(w1, x, 1); + s = 1; + while (ss = s, (s += s) <= (size_t)n) { + VpMult(w2, w1, w1); + VpAsgn(w1, w2, 1); + } + n -= (SIGNED_VALUE)ss; + VpMult(w2, y, w1); + VpAsgn(y, w2, 1); + } + if (sign < 0) { + VpDivd(w1, w2, VpConstOne, y); + VpAsgn(y, w1, 1); + } + +Exit: +#ifdef BIGDECIMAL_DEBUG + if (gfDebug) { + VPrint(stdout, "VpPowerByInt y=%\n", y); + VPrint(stdout, "VpPowerByInt x=%\n", x); + printf(" n=%"PRIdVALUE"\n", n); + } +#endif /* BIGDECIMAL_DEBUG */ + rbd_free_struct(w2); + rbd_free_struct(w1); + return 1; +} + +#ifdef BIGDECIMAL_DEBUG +int +VpVarCheck(Real * v) +/* + * Checks the validity of the Real variable v. + * [Input] + * v ... Real *, variable to be checked. + * [Returns] + * 0 ... correct v. + * other ... error + */ +{ + size_t i; + + if (v->MaxPrec == 0) { + printf("ERROR(VpVarCheck): Illegal Max. Precision(=%"PRIuSIZE")\n", + v->MaxPrec); + return 1; + } + if (v->Prec == 0 || v->Prec > v->MaxPrec) { + printf("ERROR(VpVarCheck): Illegal Precision(=%"PRIuSIZE")\n", v->Prec); + printf(" Max. Prec.=%"PRIuSIZE"\n", v->MaxPrec); + return 2; + } + for (i = 0; i < v->Prec; ++i) { + if (v->frac[i] >= BASE) { + printf("ERROR(VpVarCheck): Illegal fraction\n"); + printf(" Frac[%"PRIuSIZE"]=%"PRIuDECDIG"\n", i, v->frac[i]); + printf(" Prec. =%"PRIuSIZE"\n", v->Prec); + printf(" Exp. =%"PRIdVALUE"\n", v->exponent); + printf(" BASE =%"PRIuDECDIG"\n", BASE); + return 3; + } + } + return 0; +} +#endif /* BIGDECIMAL_DEBUG */ diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bigdecimal.h b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bigdecimal.h new file mode 100644 index 0000000..54fed81 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bigdecimal.h @@ -0,0 +1,313 @@ +/* + * + * Ruby BigDecimal(Variable decimal precision) extension library. + * + * Copyright(C) 2002 by Shigeo Kobayashi(shigeo@tinyforest.gr.jp) + * + */ + +#ifndef RUBY_BIG_DECIMAL_H +#define RUBY_BIG_DECIMAL_H 1 + +#define RUBY_NO_OLD_COMPATIBILITY +#include "ruby/ruby.h" +#include "missing.h" + +#ifdef HAVE_FLOAT_H +# include <float.h> +#endif + +#ifdef HAVE_INT64_T +# define DECDIG uint32_t +# define DECDIG_DBL uint64_t +# define DECDIG_DBL_SIGNED int64_t +# define SIZEOF_DECDIG 4 +# define PRI_DECDIG_PREFIX "" +# ifdef PRI_LL_PREFIX +# define PRI_DECDIG_DBL_PREFIX PRI_LL_PREFIX +# else +# define PRI_DECDIG_DBL_PREFIX "l" +# endif +#else +# define DECDIG uint16_t +# define DECDIG_DBL uint32_t +# define DECDIG_DBL_SIGNED int32_t +# define SIZEOF_DECDIG 2 +# define PRI_DECDIG_PREFIX "h" +# define PRI_DECDIG_DBL_PREFIX "" +#endif + +#define PRIdDECDIG PRI_DECDIG_PREFIX"d" +#define PRIiDECDIG PRI_DECDIG_PREFIX"i" +#define PRIoDECDIG PRI_DECDIG_PREFIX"o" +#define PRIuDECDIG PRI_DECDIG_PREFIX"u" +#define PRIxDECDIG PRI_DECDIG_PREFIX"x" +#define PRIXDECDIG PRI_DECDIG_PREFIX"X" + +#define PRIdDECDIG_DBL PRI_DECDIG_DBL_PREFIX"d" +#define PRIiDECDIG_DBL PRI_DECDIG_DBL_PREFIX"i" +#define PRIoDECDIG_DBL PRI_DECDIG_DBL_PREFIX"o" +#define PRIuDECDIG_DBL PRI_DECDIG_DBL_PREFIX"u" +#define PRIxDECDIG_DBL PRI_DECDIG_DBL_PREFIX"x" +#define PRIXDECDIG_DBL PRI_DECDIG_DBL_PREFIX"X" + +#if SIZEOF_DECDIG == 4 +# define BIGDECIMAL_BASE ((DECDIG)1000000000U) +# define BIGDECIMAL_COMPONENT_FIGURES 9 +/* + * The number of components required for a 64-bit integer. + * + * INT64_MAX: 9_223372036_854775807 + * UINT64_MAX: 18_446744073_709551615 + */ +# define BIGDECIMAL_INT64_MAX_LENGTH 3 + +#elif SIZEOF_DECDIG == 2 +# define BIGDECIMAL_BASE ((DECDIG)10000U) +# define BIGDECIMAL_COMPONENT_FIGURES 4 +/* + * The number of components required for a 64-bit integer. + * + * INT64_MAX: 922_3372_0368_5477_5807 + * UINT64_MAX: 1844_6744_0737_0955_1615 + */ +# define BIGDECIMAL_INT64_MAX_LENGTH 5 + +#else +# error Unknown size of DECDIG +#endif + +#define BIGDECIMAL_DOUBLE_FIGURES (1+DBL_DIG) + +#if defined(__cplusplus) +extern "C" { +#if 0 +} /* satisfy cc-mode */ +#endif +#endif + +extern VALUE rb_cBigDecimal; + +/* + * NaN & Infinity + */ +#define SZ_NaN "NaN" +#define SZ_INF "Infinity" +#define SZ_PINF "+Infinity" +#define SZ_NINF "-Infinity" + +/* + * #define VP_EXPORT other than static to let VP_ routines + * be called from outside of this module. + */ +#define VP_EXPORT static + +/* Exception mode */ +#define VP_EXCEPTION_ALL ((unsigned short)0x00FF) +#define VP_EXCEPTION_INFINITY ((unsigned short)0x0001) +#define VP_EXCEPTION_NaN ((unsigned short)0x0002) +#define VP_EXCEPTION_UNDERFLOW ((unsigned short)0x0004) +#define VP_EXCEPTION_OVERFLOW ((unsigned short)0x0001) /* 0x0008) */ +#define VP_EXCEPTION_ZERODIVIDE ((unsigned short)0x0010) + +/* Following 2 exceptions can't controlled by user */ +#define VP_EXCEPTION_OP ((unsigned short)0x0020) + +#define BIGDECIMAL_EXCEPTION_MODE_DEFAULT 0U + +/* This is used in BigDecimal#mode */ +#define VP_ROUND_MODE ((unsigned short)0x0100) + +/* Rounding mode */ +#define VP_ROUND_UP RBD_ROUND_UP +#define VP_ROUND_DOWN RBD_ROUND_DOWN +#define VP_ROUND_HALF_UP RBD_ROUND_HALF_UP +#define VP_ROUND_HALF_DOWN RBD_ROUND_HALF_DOWN +#define VP_ROUND_CEIL RBD_ROUND_CEIL +#define VP_ROUND_FLOOR RBD_ROUND_FLOOR +#define VP_ROUND_HALF_EVEN RBD_ROUND_HALF_EVEN + +enum rbd_rounding_mode { + RBD_ROUND_UP = 1, + RBD_ROUND_DOWN = 2, + RBD_ROUND_HALF_UP = 3, + RBD_ROUND_HALF_DOWN = 4, + RBD_ROUND_CEIL = 5, + RBD_ROUND_FLOOR = 6, + RBD_ROUND_HALF_EVEN = 7, + + RBD_ROUND_DEFAULT = RBD_ROUND_HALF_UP, + RBD_ROUND_TRUNCATE = RBD_ROUND_DOWN, + RBD_ROUND_BANKER = RBD_ROUND_HALF_EVEN, + RBD_ROUND_CEILING = RBD_ROUND_CEIL +}; + +#define BIGDECIMAL_ROUNDING_MODE_DEFAULT VP_ROUND_HALF_UP + +/* Sign flag */ +#define VP_SIGN_NaN 0 /* NaN */ +#define VP_SIGN_POSITIVE_ZERO 1 /* Positive zero */ +#define VP_SIGN_NEGATIVE_ZERO -1 /* Negative zero */ +#define VP_SIGN_POSITIVE_FINITE 2 /* Positive finite number */ +#define VP_SIGN_NEGATIVE_FINITE -2 /* Negative finite number */ +#define VP_SIGN_POSITIVE_INFINITE 3 /* Positive infinite number */ +#define VP_SIGN_NEGATIVE_INFINITE -3 /* Negative infinite number */ + +/* The size of fraction part array */ +#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) +#define FLEXIBLE_ARRAY_SIZE /* */ +#elif defined(__GNUC__) && !defined(__STRICT_ANSI__) +#define FLEXIBLE_ARRAY_SIZE 0 +#else +#define FLEXIBLE_ARRAY_SIZE 1 +#endif + +/* + * VP representation + * r = 0.xxxxxxxxx *BASE**exponent + */ +typedef struct { + VALUE obj; /* Back pointer(VALUE) for Ruby object. */ + size_t MaxPrec; /* Maximum precision size */ + /* This is the actual size of frac[] */ + /*(frac[0] to frac[MaxPrec] are available). */ + size_t Prec; /* Current precision size. */ + /* This indicates how much the */ + /* array frac[] is actually used. */ + SIGNED_VALUE exponent; /* Exponent part. */ + short sign; /* Attributes of the value. */ + /* + * ==0 : NaN + * 1 : Positive zero + * -1 : Negative zero + * 2 : Positive number + * -2 : Negative number + * 3 : Positive infinite number + * -3 : Negative infinite number + */ + short flag; /* Not used in vp_routines,space for user. */ + DECDIG frac[FLEXIBLE_ARRAY_SIZE]; /* Array of fraction part. */ +} Real; + +/* + * ------------------ + * EXPORTables. + * ------------------ + */ + +VP_EXPORT Real *VpNewRbClass(size_t mx, char const *str, VALUE klass, bool strict_p, bool raise_exception); + +VP_EXPORT Real *VpCreateRbObject(size_t mx, const char *str, bool raise_exception); + +#define VpBaseFig() BIGDECIMAL_COMPONENT_FIGURES +#define VpDblFig() BIGDECIMAL_DOUBLE_FIGURES +#define VpBaseVal() BIGDECIMAL_BASE + +/* Zero,Inf,NaN (isinf(),isnan() used to check) */ +VP_EXPORT double VpGetDoubleNaN(void); +VP_EXPORT double VpGetDoublePosInf(void); +VP_EXPORT double VpGetDoubleNegInf(void); +VP_EXPORT double VpGetDoubleNegZero(void); + +/* These 2 functions added at v1.1.7 */ +VP_EXPORT size_t VpGetPrecLimit(void); +VP_EXPORT size_t VpSetPrecLimit(size_t n); + +/* Round mode */ +VP_EXPORT int VpIsRoundMode(unsigned short n); +VP_EXPORT unsigned short VpGetRoundMode(void); +VP_EXPORT unsigned short VpSetRoundMode(unsigned short n); + +VP_EXPORT int VpException(unsigned short f,const char *str,int always); +#if 0 /* unused */ +VP_EXPORT int VpIsNegDoubleZero(double v); +#endif +VP_EXPORT size_t VpNumOfChars(Real *vp,const char *pszFmt); +VP_EXPORT size_t VpInit(DECDIG BaseVal); +VP_EXPORT Real *VpAlloc(size_t mx, const char *szVal, int strict_p, int exc); +VP_EXPORT size_t VpAsgn(Real *c, Real *a, int isw); +VP_EXPORT size_t VpAddSub(Real *c,Real *a,Real *b,int operation); +VP_EXPORT size_t VpMult(Real *c,Real *a,Real *b); +VP_EXPORT size_t VpDivd(Real *c,Real *r,Real *a,Real *b); +VP_EXPORT int VpComp(Real *a,Real *b); +VP_EXPORT ssize_t VpExponent10(Real *a); +VP_EXPORT void VpSzMantissa(Real *a, char *buf, size_t bufsize); +VP_EXPORT int VpToSpecialString(Real *a, char *buf, size_t bufsize, int fPlus); +VP_EXPORT void VpToString(Real *a, char *buf, size_t bufsize, size_t fFmt, int fPlus); +VP_EXPORT void VpToFString(Real *a, char *buf, size_t bufsize, size_t fFmt, int fPlus); +VP_EXPORT int VpCtoV(Real *a, const char *int_chr, size_t ni, const char *frac, size_t nf, const char *exp_chr, size_t ne); +VP_EXPORT int VpVtoD(double *d, SIGNED_VALUE *e, Real *m); +VP_EXPORT void VpDtoV(Real *m,double d); +#if 0 /* unused */ +VP_EXPORT void VpItoV(Real *m,S_INT ival); +#endif +VP_EXPORT int VpSqrt(Real *y,Real *x); +VP_EXPORT int VpActiveRound(Real *y, Real *x, unsigned short f, ssize_t il); +VP_EXPORT int VpMidRound(Real *y, unsigned short f, ssize_t nf); +VP_EXPORT int VpLeftRound(Real *y, unsigned short f, ssize_t nf); +VP_EXPORT void VpFrac(Real *y, Real *x); +VP_EXPORT int VpPowerByInt(Real *y, Real *x, SIGNED_VALUE n); +#define VpPower VpPowerByInt + +/* VP constants */ +VP_EXPORT Real *VpOne(void); + +/* + * ------------------ + * MACRO definitions. + * ------------------ + */ +#define Abs(a) (((a)>= 0)?(a):(-(a))) +#define Max(a, b) (((a)>(b))?(a):(b)) +#define Min(a, b) (((a)>(b))?(b):(a)) + +#define VpMaxPrec(a) ((a)->MaxPrec) +#define VpPrec(a) ((a)->Prec) +#define VpGetFlag(a) ((a)->flag) + +/* Sign */ + +/* VpGetSign(a) returns 1,-1 if a>0,a<0 respectively */ +#define VpGetSign(a) (((a)->sign>0)?1:(-1)) +/* Change sign of a to a>0,a<0 if s = 1,-1 respectively */ +#define VpChangeSign(a,s) {if((s)>0) (a)->sign=(short)Abs((ssize_t)(a)->sign);else (a)->sign=-(short)Abs((ssize_t)(a)->sign);} +/* Sets sign of a to a>0,a<0 if s = 1,-1 respectively */ +#define VpSetSign(a,s) {if((s)>0) (a)->sign=(short)VP_SIGN_POSITIVE_FINITE;else (a)->sign=(short)VP_SIGN_NEGATIVE_FINITE;} + +/* 1 */ +#define VpSetOne(a) {(a)->Prec=(a)->exponent=(a)->frac[0]=1;(a)->sign=VP_SIGN_POSITIVE_FINITE;} + +/* ZEROs */ +#define VpIsPosZero(a) ((a)->sign==VP_SIGN_POSITIVE_ZERO) +#define VpIsNegZero(a) ((a)->sign==VP_SIGN_NEGATIVE_ZERO) +#define VpIsZero(a) (VpIsPosZero(a) || VpIsNegZero(a)) +#define VpSetPosZero(a) ((a)->frac[0]=0,(a)->Prec=1,(a)->sign=VP_SIGN_POSITIVE_ZERO) +#define VpSetNegZero(a) ((a)->frac[0]=0,(a)->Prec=1,(a)->sign=VP_SIGN_NEGATIVE_ZERO) +#define VpSetZero(a,s) (void)(((s)>0)?VpSetPosZero(a):VpSetNegZero(a)) + +/* NaN */ +#define VpIsNaN(a) ((a)->sign==VP_SIGN_NaN) +#define VpSetNaN(a) ((a)->frac[0]=0,(a)->Prec=1,(a)->sign=VP_SIGN_NaN) + +/* Infinity */ +#define VpIsPosInf(a) ((a)->sign==VP_SIGN_POSITIVE_INFINITE) +#define VpIsNegInf(a) ((a)->sign==VP_SIGN_NEGATIVE_INFINITE) +#define VpIsInf(a) (VpIsPosInf(a) || VpIsNegInf(a)) +#define VpIsDef(a) ( !(VpIsNaN(a)||VpIsInf(a)) ) +#define VpSetPosInf(a) ((a)->frac[0]=0,(a)->Prec=1,(a)->sign=VP_SIGN_POSITIVE_INFINITE) +#define VpSetNegInf(a) ((a)->frac[0]=0,(a)->Prec=1,(a)->sign=VP_SIGN_NEGATIVE_INFINITE) +#define VpSetInf(a,s) (void)(((s)>0)?VpSetPosInf(a):VpSetNegInf(a)) +#define VpHasVal(a) (a->frac[0]) +#define VpIsOne(a) ((a->Prec==1)&&(a->frac[0]==1)&&(a->exponent==1)) +#define VpExponent(a) (a->exponent) +#ifdef BIGDECIMAL_DEBUG +int VpVarCheck(Real * v); +#endif /* BIGDECIMAL_DEBUG */ + +#if defined(__cplusplus) +#if 0 +{ /* satisfy cc-mode */ +#endif +} /* extern "C" { */ +#endif +#endif /* RUBY_BIG_DECIMAL_H */ diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bits.h b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bits.h new file mode 100644 index 0000000..6e1e477 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/bits.h @@ -0,0 +1,141 @@ +#ifndef BIGDECIMAL_BITS_H +#define BIGDECIMAL_BITS_H + +#include "feature.h" +#include "static_assert.h" + +#if defined(__x86_64__) && defined(HAVE_X86INTRIN_H) +# include <x86intrin.h> /* for _lzcnt_u64, etc. */ +#elif defined(_MSC_VER) && defined(HAVE_INTRIN_H) +# include <intrin.h> /* for the following intrinsics */ +#endif + +#if defined(_MSC_VER) && defined(__AVX2__) +# pragma intrinsic(__lzcnt) +# pragma intrinsic(__lzcnt64) +#endif + +#define numberof(array) ((int)(sizeof(array) / sizeof((array)[0]))) +#define roomof(x, y) (((x) + (y) - 1) / (y)) +#define type_roomof(x, y) roomof(sizeof(x), sizeof(y)) + +#define MUL_OVERFLOW_SIGNED_INTEGER_P(a, b, min, max) ( \ + (a) == 0 ? 0 : \ + (a) == -1 ? (b) < -(max) : \ + (a) > 0 ? \ + ((b) > 0 ? (max) / (a) < (b) : (min) / (a) > (b)) : \ + ((b) > 0 ? (min) / (a) < (b) : (max) / (a) > (b))) + +#ifdef HAVE_UINT128_T +# define bit_length(x) \ + (unsigned int) \ + (sizeof(x) <= sizeof(int32_t) ? 32 - nlz_int32((uint32_t)(x)) : \ + sizeof(x) <= sizeof(int64_t) ? 64 - nlz_int64((uint64_t)(x)) : \ + 128 - nlz_int128((uint128_t)(x))) +#else +# define bit_length(x) \ + (unsigned int) \ + (sizeof(x) <= sizeof(int32_t) ? 32 - nlz_int32((uint32_t)(x)) : \ + 64 - nlz_int64((uint64_t)(x))) +#endif + +static inline unsigned nlz_int32(uint32_t x); +static inline unsigned nlz_int64(uint64_t x); +#ifdef HAVE_UINT128_T +static inline unsigned nlz_int128(uint128_t x); +#endif + +static inline unsigned int +nlz_int32(uint32_t x) +{ +#if defined(_MSC_VER) && defined(__AVX2__) && defined(HAVE___LZCNT) + /* Note: It seems there is no such thing like __LZCNT__ predefined in MSVC. + * AMD CPUs have had this instruction for decades (since K10) but for + * Intel, Haswell is the oldest one. We need to use __AVX2__ for maximum + * safety. */ + return (unsigned int)__lzcnt(x); + +#elif defined(__x86_64__) && defined(__LZCNT__) && defined(HAVE__LZCNT_U32) + return (unsigned int)_lzcnt_u32(x); + +#elif defined(_MSC_VER) && defined(HAVE__BITSCANREVERSE) + unsigned long r; + return _BitScanReverse(&r, x) ? (31 - (int)r) : 32; + +#elif __has_builtin(__builtin_clz) + STATIC_ASSERT(sizeof_int, sizeof(int) * CHAR_BIT == 32); + return x ? (unsigned int)__builtin_clz(x) : 32; + +#else + uint32_t y; + unsigned n = 32; + y = x >> 16; if (y) {n -= 16; x = y;} + y = x >> 8; if (y) {n -= 8; x = y;} + y = x >> 4; if (y) {n -= 4; x = y;} + y = x >> 2; if (y) {n -= 2; x = y;} + y = x >> 1; if (y) {return n - 2;} + return (unsigned int)(n - x); +#endif +} + +static inline unsigned int +nlz_int64(uint64_t x) +{ +#if defined(_MSC_VER) && defined(__AVX2__) && defined(HAVE___LZCNT64) + return (unsigned int)__lzcnt64(x); + +#elif defined(__x86_64__) && defined(__LZCNT__) && defined(HAVE__LZCNT_U64) + return (unsigned int)_lzcnt_u64(x); + +#elif defined(_WIN64) && defined(_MSC_VER) && defined(HAVE__BITSCANREVERSE64) + unsigned long r; + return _BitScanReverse64(&r, x) ? (63u - (unsigned int)r) : 64; + +#elif __has_builtin(__builtin_clzl) && __has_builtin(__builtin_clzll) && !(defined(__sun) && defined(__sparc)) + if (x == 0) { + return 64; + } + else if (sizeof(long) * CHAR_BIT == 64) { + return (unsigned int)__builtin_clzl((unsigned long)x); + } + else if (sizeof(long long) * CHAR_BIT == 64) { + return (unsigned int)__builtin_clzll((unsigned long long)x); + } + else { + /* :FIXME: Is there a way to make this branch a compile-time error? */ + __builtin_unreachable(); + } + +#else + uint64_t y; + unsigned int n = 64; + y = x >> 32; if (y) {n -= 32; x = y;} + y = x >> 16; if (y) {n -= 16; x = y;} + y = x >> 8; if (y) {n -= 8; x = y;} + y = x >> 4; if (y) {n -= 4; x = y;} + y = x >> 2; if (y) {n -= 2; x = y;} + y = x >> 1; if (y) {return n - 2;} + return (unsigned int)(n - x); + +#endif +} + +#ifdef HAVE_UINT128_T +static inline unsigned int +nlz_int128(uint128_t x) +{ + uint64_t y = (uint64_t)(x >> 64); + + if (x == 0) { + return 128; + } + else if (y == 0) { + return (unsigned int)nlz_int64(x) + 64; + } + else { + return (unsigned int)nlz_int64(y); + } +} +#endif + +#endif /* BIGDECIMAL_BITS_H */ diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/extconf.rb b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/extconf.rb new file mode 100644 index 0000000..cf4290f --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/extconf.rb @@ -0,0 +1,64 @@ +# frozen_string_literal: false +require 'mkmf' + +def have_builtin_func(name, check_expr, opt = "", &b) + checking_for checking_message(name.funcall_style, nil, opt) do + if try_compile(<<SRC, opt, &b) +int foo; +int main() { #{check_expr}; return 0; } +SRC + $defs.push(format("-DHAVE_BUILTIN_%s", name.tr_cpp)) + true + else + false + end + end +end + +have_builtin_func("__builtin_clz", "__builtin_clz(0)") +have_builtin_func("__builtin_clzl", "__builtin_clzl(0)") +have_builtin_func("__builtin_clzll", "__builtin_clzll(0)") + +have_header("float.h") +have_header("math.h") +have_header("stdbool.h") +have_header("stdlib.h") + +if have_header("x86intrin.h") + have_func("_lzcnt_u32", "x86intrin.h") + have_func("_lzcnt_u64", "x86intrin.h") +end + +if have_header("intrin.h") + have_func("__lzcnt", "intrin.h") + have_func("__lzcnt64", "intrin.h") + have_func("_BitScanReverse", "intrin.h") + have_func("_BitScanReverse64", "intrin.h") +end + +have_func("labs", "stdlib.h") +have_func("llabs", "stdlib.h") +have_func("finite", "math.h") +have_func("isfinite", "math.h") + +have_header("ruby/atomic.h") +have_header("ruby/internal/has/builtin.h") +have_header("ruby/internal/static_assert.h") + +have_func("rb_rational_num", "ruby.h") +have_func("rb_rational_den", "ruby.h") +have_func("rb_complex_real", "ruby.h") +have_func("rb_complex_imag", "ruby.h") +have_func("rb_opts_exception_p", "ruby.h") +have_func("rb_category_warn", "ruby.h") +have_const("RB_WARN_CATEGORY_DEPRECATED", "ruby.h") + +if File.file?(File.expand_path('../lib/bigdecimal.rb', __FILE__)) + bigdecimal_rb = "$(srcdir)/lib/bigdecimal.rb" +else + bigdecimal_rb = "$(srcdir)/../../lib/bigdecimal.rb" +end + +create_makefile('bigdecimal') {|mf| + mf << "BIGDECIMAL_RB = #{bigdecimal_rb}\n" +} diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/feature.h b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/feature.h new file mode 100644 index 0000000..f628514 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/feature.h @@ -0,0 +1,68 @@ +#ifndef BIGDECIMAL_HAS_FEATURE_H +#define BIGDECIMAL_HAS_FEATURE_H + +/* ======== __has_feature ======== */ + +#ifndef __has_feature +# define __has_feature(_) 0 +#endif + +/* ======== __has_extension ======== */ + +#ifndef __has_extension +# define __has_extension __has_feature +#endif + +/* ======== __has_builtin ======== */ + +#ifdef HAVE_RUBY_INTERNAL_HAS_BUILTIN_H +# include <ruby/internal/has/builtin.h> +#endif + +#ifdef RBIMPL_HAS_BUILTIN +# define BIGDECIMAL_HAS_BUILTIN(...) RBIMPL_HAS_BUILTIN(__VA_ARGS__) + +#else +# /* The following section is copied from CRuby's builtin.h */ +# +# ifdef __has_builtin +# if defined(__INTEL_COMPILER) +# /* :TODO: Intel C Compiler has __has_builtin (since 19.1 maybe?), and is +# * reportedly broken. We have to skip them. However the situation can +# * change. They might improve someday. We need to revisit here later. */ +# elif defined(__GNUC__) && ! __has_builtin(__builtin_alloca) +# /* FreeBSD's <sys/cdefs.h> defines its own *broken* version of +# * __has_builtin. Cygwin copied that content to be a victim of the +# * broken-ness. We don't take them into account. */ +# else +# define HAVE___HAS_BUILTIN 1 +# endif +# endif +# +# if defined(HAVE___HAS_BUILTIN) +# define BIGDECIMAL_HAS_BUILTIN(_) __has_builtin(_) +# +# elif defined(__GNUC__) +# define BIGDECIMAL_HAS_BUILTIN(_) BIGDECIMAL_HAS_BUILTIN_ ## _ +# if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 6)) +# define BIGDECIMAL_HAS_BUILTIN___builtin_clz 1 +# define BIGDECIMAL_HAS_BUILTIN___builtin_clzl 1 +# else +# define BIGDECIMAL_HAS_BUILTIN___builtin_clz 0 +# define BIGDECIMAL_HAS_BUILTIN___builtin_clzl 0 +# endif +# elif defined(_MSC_VER) +# define BIGDECIMAL_HAS_BUILTIN(_) 0 +# +# else +# define BIGDECIMAL_HAS_BUILTIN(_) BIGDECIMAL_HAS_BUILTIN_ ## _ +# define BIGDECIMAL_HAS_BUILTIN___builtin_clz HAVE_BUILTIN___BUILTIN_CLZ +# define BIGDECIMAL_HAS_BUILTIN___builtin_clzl HAVE_BUILTIN___BUILTIN_CLZL +# endif +#endif /* RBIMPL_HAS_BUILTIN */ + +#ifndef __has_builtin +# define __has_builtin(...) BIGDECIMAL_HAS_BUILTIN(__VA_ARGS__) +#endif + +#endif /* BIGDECIMAL_HAS_FEATURE_H */ diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing.c b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing.c new file mode 100644 index 0000000..1454c28 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing.c @@ -0,0 +1,28 @@ +#include <ruby/ruby.h> + +#ifdef HAVE_RUBY_ATOMIC_H +# include <ruby/atomic.h> +#endif + +#ifdef RUBY_ATOMIC_PTR_CAS +# define ATOMIC_PTR_CAS(var, old, new) RUBY_ATOMIC_PTR_CAS(var, old, new) +#endif + +#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) +/* GCC warns about unknown sanitizer, which is annoying. */ +# undef NO_SANITIZE +# define NO_SANITIZE(x, y) \ + _Pragma("GCC diagnostic push") \ + _Pragma("GCC diagnostic ignored \"-Wattributes\"") \ + __attribute__((__no_sanitize__(x))) y; \ + _Pragma("GCC diagnostic pop") \ + y +#endif + +#undef strtod +#define strtod BigDecimal_strtod +#undef dtoa +#define dtoa BigDecimal_dtoa +#undef hdtoa +#define hdtoa BigDecimal_hdtoa +#include "missing/dtoa.c" diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing.h b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing.h new file mode 100644 index 0000000..325554b --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing.h @@ -0,0 +1,196 @@ +#ifndef MISSING_H +#define MISSING_H 1 + +#if defined(__cplusplus) +extern "C" { +#if 0 +} /* satisfy cc-mode */ +#endif +#endif + +#ifdef HAVE_STDLIB_H +# include <stdlib.h> +#endif + +#ifdef HAVE_MATH_H +# include <math.h> +#endif + +#ifndef RB_UNUSED_VAR +# if defined(_MSC_VER) && _MSC_VER >= 1911 +# define RB_UNUSED_VAR(x) x [[maybe_unused]] + +# elif defined(__has_cpp_attribute) && __has_cpp_attribute(maybe_unused) +# define RB_UNUSED_VAR(x) x [[maybe_unused]] + +# elif defined(__has_c_attribute) && __has_c_attribute(maybe_unused) +# define RB_UNUSED_VAR(x) x [[maybe_unused]] + +# elif defined(__GNUC__) +# define RB_UNUSED_VAR(x) x __attribute__ ((unused)) + +# else +# define RB_UNUSED_VAR(x) x +# endif +#endif /* RB_UNUSED_VAR */ + +#if defined(_MSC_VER) && _MSC_VER >= 1310 +# define HAVE___ASSUME 1 + +#elif defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 1300 +# define HAVE___ASSUME 1 +#endif + +#ifndef UNREACHABLE +# if __has_builtin(__builtin_unreachable) +# define UNREACHABLE __builtin_unreachable() + +# elif defined(HAVE___ASSUME) +# define UNREACHABLE __assume(0) + +# else +# define UNREACHABLE /* unreachable */ +# endif +#endif /* UNREACHABLE */ + +/* bool */ + +#if defined(__bool_true_false_are_defined) +# /* Take that. */ + +#elif defined(HAVE_STDBOOL_H) +# include <stdbool.h> + +#else +typedef unsigned char _Bool; +# define bool _Bool +# define true ((_Bool)+1) +# define false ((_Bool)-1) +# define __bool_true_false_are_defined +#endif + +/* abs */ + +#ifndef HAVE_LABS +static inline long +labs(long const x) +{ + if (x < 0) return -x; + return x; +} +#endif + +#ifndef HAVE_LLABS +static inline LONG_LONG +llabs(LONG_LONG const x) +{ + if (x < 0) return -x; + return x; +} +#endif + +#ifdef vabs +# undef vabs +#endif +#if SIZEOF_VALUE <= SIZEOF_INT +# define vabs abs +#elif SIZEOF_VALUE <= SIZEOF_LONG +# define vabs labs +#elif SIZEOF_VALUE <= SIZEOF_LONG_LONG +# define vabs llabs +#endif + +/* finite */ + +#ifndef HAVE_FINITE +static int +finite(double) +{ + return !isnan(n) && !isinf(n); +} +#endif + +#ifndef isfinite +# ifndef HAVE_ISFINITE +# define HAVE_ISFINITE 1 +# define isfinite(x) finite(x) +# endif +#endif + +/* dtoa */ +char *BigDecimal_dtoa(double d_, int mode, int ndigits, int *decpt, int *sign, char **rve); + +/* rational */ + +#ifndef HAVE_RB_RATIONAL_NUM +static inline VALUE +rb_rational_num(VALUE rat) +{ +#ifdef RRATIONAL + return RRATIONAL(rat)->num; +#else + return rb_funcall(rat, rb_intern("numerator"), 0); +#endif +} +#endif + +#ifndef HAVE_RB_RATIONAL_DEN +static inline VALUE +rb_rational_den(VALUE rat) +{ +#ifdef RRATIONAL + return RRATIONAL(rat)->den; +#else + return rb_funcall(rat, rb_intern("denominator"), 0); +#endif +} +#endif + +/* complex */ + +#ifndef HAVE_RB_COMPLEX_REAL +static inline VALUE +rb_complex_real(VALUE cmp) +{ +#ifdef RCOMPLEX + return RCOMPLEX(cmp)->real; +#else + return rb_funcall(cmp, rb_intern("real"), 0); +#endif +} +#endif + +#ifndef HAVE_RB_COMPLEX_IMAG +static inline VALUE +rb_complex_imag(VALUE cmp) +{ +# ifdef RCOMPLEX + return RCOMPLEX(cmp)->imag; +# else + return rb_funcall(cmp, rb_intern("imag"), 0); +# endif +} +#endif + +/* st */ + +#ifndef ST2FIX +# undef RB_ST2FIX +# define RB_ST2FIX(h) LONG2FIX((long)(h)) +# define ST2FIX(h) RB_ST2FIX(h) +#endif + +/* warning */ + +#if !defined(HAVE_RB_CATEGORY_WARN) || !defined(HAVE_CONST_RB_WARN_CATEGORY_DEPRECATED) +# define rb_category_warn(category, ...) rb_warn(__VA_ARGS__) +#endif + +#if defined(__cplusplus) +#if 0 +{ /* satisfy cc-mode */ +#endif +} /* extern "C" { */ +#endif + +#endif /* MISSING_H */ diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing/dtoa.c b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing/dtoa.c new file mode 100644 index 0000000..41b0a22 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/missing/dtoa.c @@ -0,0 +1,3462 @@ +/**************************************************************** + * + * The author of this software is David M. Gay. + * + * Copyright (c) 1991, 2000, 2001 by Lucent Technologies. + * + * Permission to use, copy, modify, and distribute this software for any + * purpose without fee is hereby granted, provided that this entire notice + * is included in all copies of any software which is or includes a copy + * or modification of this software and in all copies of the supporting + * documentation for such software. + * + * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED + * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY + * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY + * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE. + * + ***************************************************************/ + +/* Please send bug reports to David M. Gay (dmg at acm dot org, + * with " at " changed at "@" and " dot " changed to "."). */ + +/* On a machine with IEEE extended-precision registers, it is + * necessary to specify double-precision (53-bit) rounding precision + * before invoking strtod or dtoa. If the machine uses (the equivalent + * of) Intel 80x87 arithmetic, the call + * _control87(PC_53, MCW_PC); + * does this with many compilers. Whether this or another call is + * appropriate depends on the compiler; for this to work, it may be + * necessary to #include "float.h" or another system-dependent header + * file. + */ + +/* strtod for IEEE-, VAX-, and IBM-arithmetic machines. + * + * This strtod returns a nearest machine number to the input decimal + * string (or sets errno to ERANGE). With IEEE arithmetic, ties are + * broken by the IEEE round-even rule. Otherwise ties are broken by + * biased rounding (add half and chop). + * + * Inspired loosely by William D. Clinger's paper "How to Read Floating + * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101]. + * + * Modifications: + * + * 1. We only require IEEE, IBM, or VAX double-precision + * arithmetic (not IEEE double-extended). + * 2. We get by with floating-point arithmetic in a case that + * Clinger missed -- when we're computing d * 10^n + * for a small integer d and the integer n is not too + * much larger than 22 (the maximum integer k for which + * we can represent 10^k exactly), we may be able to + * compute (d*10^k) * 10^(e-k) with just one roundoff. + * 3. Rather than a bit-at-a-time adjustment of the binary + * result in the hard case, we use floating-point + * arithmetic to determine the adjustment to within + * one bit; only in really hard cases do we need to + * compute a second residual. + * 4. Because of 3., we don't need a large table of powers of 10 + * for ten-to-e (just some small tables, e.g. of 10^k + * for 0 <= k <= 22). + */ + +/* + * #define IEEE_LITTLE_ENDIAN for IEEE-arithmetic machines where the least + * significant byte has the lowest address. + * #define IEEE_BIG_ENDIAN for IEEE-arithmetic machines where the most + * significant byte has the lowest address. + * #define Long int on machines with 32-bit ints and 64-bit longs. + * #define IBM for IBM mainframe-style floating-point arithmetic. + * #define VAX for VAX-style floating-point arithmetic (D_floating). + * #define No_leftright to omit left-right logic in fast floating-point + * computation of dtoa. + * #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3 + * and strtod and dtoa should round accordingly. + * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3 + * and Honor_FLT_ROUNDS is not #defined. + * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines + * that use extended-precision instructions to compute rounded + * products and quotients) with IBM. + * #define ROUND_BIASED for IEEE-format with biased rounding. + * #define Inaccurate_Divide for IEEE-format with correctly rounded + * products but inaccurate quotients, e.g., for Intel i860. + * #define NO_LONG_LONG on machines that do not have a "long long" + * integer type (of >= 64 bits). On such machines, you can + * #define Just_16 to store 16 bits per 32-bit Long when doing + * high-precision integer arithmetic. Whether this speeds things + * up or slows things down depends on the machine and the number + * being converted. If long long is available and the name is + * something other than "long long", #define Llong to be the name, + * and if "unsigned Llong" does not work as an unsigned version of + * Llong, #define #ULLong to be the corresponding unsigned type. + * #define KR_headers for old-style C function headers. + * #define Bad_float_h if your system lacks a float.h or if it does not + * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP, + * FLT_RADIX, FLT_ROUNDS, and DBL_MAX. + * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n) + * if memory is available and otherwise does something you deem + * appropriate. If MALLOC is undefined, malloc will be invoked + * directly -- and assumed always to succeed. + * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making + * memory allocations from a private pool of memory when possible. + * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes, + * unless #defined to be a different length. This default length + * suffices to get rid of MALLOC calls except for unusual cases, + * such as decimal-to-binary conversion of a very long string of + * digits. The longest string dtoa can return is about 751 bytes + * long. For conversions by strtod of strings of 800 digits and + * all dtoa conversions in single-threaded executions with 8-byte + * pointers, PRIVATE_MEM >= 7400 appears to suffice; with 4-byte + * pointers, PRIVATE_MEM >= 7112 appears adequate. + * #define INFNAN_CHECK on IEEE systems to cause strtod to check for + * Infinity and NaN (case insensitively). On some systems (e.g., + * some HP systems), it may be necessary to #define NAN_WORD0 + * appropriately -- to the most significant word of a quiet NaN. + * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.) + * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined, + * strtod also accepts (case insensitively) strings of the form + * NaN(x), where x is a string of hexadecimal digits and spaces; + * if there is only one string of hexadecimal digits, it is taken + * for the 52 fraction bits of the resulting NaN; if there are two + * or more strings of hex digits, the first is for the high 20 bits, + * the second and subsequent for the low 32 bits, with intervening + * white space ignored; but if this results in none of the 52 + * fraction bits being on (an IEEE Infinity symbol), then NAN_WORD0 + * and NAN_WORD1 are used instead. + * #define MULTIPLE_THREADS if the system offers preemptively scheduled + * multiple threads. In this case, you must provide (or suitably + * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed + * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed + * in pow5mult, ensures lazy evaluation of only one copy of high + * powers of 5; omitting this lock would introduce a small + * probability of wasting memory, but would otherwise be harmless.) + * You must also invoke freedtoa(s) to free the value s returned by + * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined. + * #define NO_IEEE_Scale to disable new (Feb. 1997) logic in strtod that + * avoids underflows on inputs whose result does not underflow. + * If you #define NO_IEEE_Scale on a machine that uses IEEE-format + * floating-point numbers and flushes underflows to zero rather + * than implementing gradual underflow, then you must also #define + * Sudden_Underflow. + * #define YES_ALIAS to permit aliasing certain double values with + * arrays of ULongs. This leads to slightly better code with + * some compilers and was always used prior to 19990916, but it + * is not strictly legal and can cause trouble with aggressively + * optimizing compilers (e.g., gcc 2.95.1 under -O2). + * #define USE_LOCALE to use the current locale's decimal_point value. + * #define SET_INEXACT if IEEE arithmetic is being used and extra + * computation should be done to set the inexact flag when the + * result is inexact and avoid setting inexact when the result + * is exact. In this case, dtoa.c must be compiled in + * an environment, perhaps provided by #include "dtoa.c" in a + * suitable wrapper, that defines two functions, + * int get_inexact(void); + * void clear_inexact(void); + * such that get_inexact() returns a nonzero value if the + * inexact bit is already set, and clear_inexact() sets the + * inexact bit to 0. When SET_INEXACT is #defined, strtod + * also does extra computations to set the underflow and overflow + * flags when appropriate (i.e., when the result is tiny and + * inexact or when it is a numeric value rounded to +-infinity). + * #define NO_ERRNO if strtod should not assign errno = ERANGE when + * the result overflows to +-Infinity or underflows to 0. + */ + +#ifdef WORDS_BIGENDIAN +#define IEEE_BIG_ENDIAN +#else +#define IEEE_LITTLE_ENDIAN +#endif + +#ifdef __vax__ +#define VAX +#undef IEEE_BIG_ENDIAN +#undef IEEE_LITTLE_ENDIAN +#endif + +#if defined(__arm__) && !defined(__VFP_FP__) +#define IEEE_BIG_ENDIAN +#undef IEEE_LITTLE_ENDIAN +#endif + +#undef Long +#undef ULong + +#include <limits.h> + +#if (INT_MAX >> 30) && !(INT_MAX >> 31) +#define Long int +#define ULong unsigned int +#elif (LONG_MAX >> 30) && !(LONG_MAX >> 31) +#define Long long int +#define ULong unsigned long int +#else +#error No 32bit integer +#endif + +#if HAVE_LONG_LONG +#define Llong LONG_LONG +#else +#define NO_LONG_LONG +#endif + +#ifdef DEBUG +#include <stdio.h> +#define Bug(x) {fprintf(stderr, "%s\n", (x)); exit(EXIT_FAILURE);} +#endif + +#ifndef ISDIGIT +#include <ctype.h> +#define ISDIGIT(c) isdigit(c) +#endif +#include <errno.h> +#include <stdlib.h> +#include <string.h> + +#ifdef USE_LOCALE +#include <locale.h> +#endif + +#ifdef MALLOC +extern void *MALLOC(size_t); +#else +#define MALLOC xmalloc +#endif +#ifdef FREE +extern void FREE(void*); +#else +#define FREE xfree +#endif +#ifndef NO_SANITIZE +#define NO_SANITIZE(x, y) y +#endif + +#ifndef Omit_Private_Memory +#ifndef PRIVATE_MEM +#define PRIVATE_MEM 2304 +#endif +#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double)) +static double private_mem[PRIVATE_mem], *pmem_next = private_mem; +#endif + +#undef IEEE_Arith +#undef Avoid_Underflow +#ifdef IEEE_BIG_ENDIAN +#define IEEE_Arith +#endif +#ifdef IEEE_LITTLE_ENDIAN +#define IEEE_Arith +#endif + +#ifdef Bad_float_h + +#ifdef IEEE_Arith +#define DBL_DIG 15 +#define DBL_MAX_10_EXP 308 +#define DBL_MAX_EXP 1024 +#define FLT_RADIX 2 +#endif /*IEEE_Arith*/ + +#ifdef IBM +#define DBL_DIG 16 +#define DBL_MAX_10_EXP 75 +#define DBL_MAX_EXP 63 +#define FLT_RADIX 16 +#define DBL_MAX 7.2370055773322621e+75 +#endif + +#ifdef VAX +#define DBL_DIG 16 +#define DBL_MAX_10_EXP 38 +#define DBL_MAX_EXP 127 +#define FLT_RADIX 2 +#define DBL_MAX 1.7014118346046923e+38 +#endif + +#ifndef LONG_MAX +#define LONG_MAX 2147483647 +#endif + +#else /* ifndef Bad_float_h */ +#include <float.h> +#endif /* Bad_float_h */ + +#include <math.h> + +#ifdef __cplusplus +extern "C" { +#if 0 +} /* satisfy cc-mode */ +#endif +#endif + +#ifndef hexdigit +static const char hexdigit[] = "0123456789abcdef0123456789ABCDEF"; +#endif + +#if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + defined(IBM) != 1 +Exactly one of IEEE_LITTLE_ENDIAN, IEEE_BIG_ENDIAN, VAX, or IBM should be defined. +#endif + +typedef union { double d; ULong L[2]; } U; + +#ifdef YES_ALIAS +typedef double double_u; +# define dval(x) (x) +# ifdef IEEE_LITTLE_ENDIAN +# define word0(x) (((ULong *)&(x))[1]) +# define word1(x) (((ULong *)&(x))[0]) +# else +# define word0(x) (((ULong *)&(x))[0]) +# define word1(x) (((ULong *)&(x))[1]) +# endif +#else +typedef U double_u; +# ifdef IEEE_LITTLE_ENDIAN +# define word0(x) ((x).L[1]) +# define word1(x) ((x).L[0]) +# else +# define word0(x) ((x).L[0]) +# define word1(x) ((x).L[1]) +# endif +# define dval(x) ((x).d) +#endif + +/* The following definition of Storeinc is appropriate for MIPS processors. + * An alternative that might be better on some machines is + * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff) + */ +#if defined(IEEE_LITTLE_ENDIAN) + defined(VAX) + defined(__arm__) +#define Storeinc(a,b,c) (((unsigned short *)(a))[1] = (unsigned short)(b), \ +((unsigned short *)(a))[0] = (unsigned short)(c), (a)++) +#else +#define Storeinc(a,b,c) (((unsigned short *)(a))[0] = (unsigned short)(b), \ +((unsigned short *)(a))[1] = (unsigned short)(c), (a)++) +#endif + +/* #define P DBL_MANT_DIG */ +/* Ten_pmax = floor(P*log(2)/log(5)) */ +/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */ +/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */ +/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */ + +#ifdef IEEE_Arith +#define Exp_shift 20 +#define Exp_shift1 20 +#define Exp_msk1 0x100000 +#define Exp_msk11 0x100000 +#define Exp_mask 0x7ff00000 +#define P 53 +#define Bias 1023 +#define Emin (-1022) +#define Exp_1 0x3ff00000 +#define Exp_11 0x3ff00000 +#define Ebits 11 +#define Frac_mask 0xfffff +#define Frac_mask1 0xfffff +#define Ten_pmax 22 +#define Bletch 0x10 +#define Bndry_mask 0xfffff +#define Bndry_mask1 0xfffff +#define LSB 1 +#define Sign_bit 0x80000000 +#define Log2P 1 +#define Tiny0 0 +#define Tiny1 1 +#define Quick_max 14 +#define Int_max 14 +#ifndef NO_IEEE_Scale +#define Avoid_Underflow +#ifdef Flush_Denorm /* debugging option */ +#undef Sudden_Underflow +#endif +#endif + +#ifndef Flt_Rounds +#ifdef FLT_ROUNDS +#define Flt_Rounds FLT_ROUNDS +#else +#define Flt_Rounds 1 +#endif +#endif /*Flt_Rounds*/ + +#ifdef Honor_FLT_ROUNDS +#define Rounding rounding +#undef Check_FLT_ROUNDS +#define Check_FLT_ROUNDS +#else +#define Rounding Flt_Rounds +#endif + +#else /* ifndef IEEE_Arith */ +#undef Check_FLT_ROUNDS +#undef Honor_FLT_ROUNDS +#undef SET_INEXACT +#undef Sudden_Underflow +#define Sudden_Underflow +#ifdef IBM +#undef Flt_Rounds +#define Flt_Rounds 0 +#define Exp_shift 24 +#define Exp_shift1 24 +#define Exp_msk1 0x1000000 +#define Exp_msk11 0x1000000 +#define Exp_mask 0x7f000000 +#define P 14 +#define Bias 65 +#define Exp_1 0x41000000 +#define Exp_11 0x41000000 +#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */ +#define Frac_mask 0xffffff +#define Frac_mask1 0xffffff +#define Bletch 4 +#define Ten_pmax 22 +#define Bndry_mask 0xefffff +#define Bndry_mask1 0xffffff +#define LSB 1 +#define Sign_bit 0x80000000 +#define Log2P 4 +#define Tiny0 0x100000 +#define Tiny1 0 +#define Quick_max 14 +#define Int_max 15 +#else /* VAX */ +#undef Flt_Rounds +#define Flt_Rounds 1 +#define Exp_shift 23 +#define Exp_shift1 7 +#define Exp_msk1 0x80 +#define Exp_msk11 0x800000 +#define Exp_mask 0x7f80 +#define P 56 +#define Bias 129 +#define Exp_1 0x40800000 +#define Exp_11 0x4080 +#define Ebits 8 +#define Frac_mask 0x7fffff +#define Frac_mask1 0xffff007f +#define Ten_pmax 24 +#define Bletch 2 +#define Bndry_mask 0xffff007f +#define Bndry_mask1 0xffff007f +#define LSB 0x10000 +#define Sign_bit 0x8000 +#define Log2P 1 +#define Tiny0 0x80 +#define Tiny1 0 +#define Quick_max 15 +#define Int_max 15 +#endif /* IBM, VAX */ +#endif /* IEEE_Arith */ + +#ifndef IEEE_Arith +#define ROUND_BIASED +#endif + +#ifdef RND_PRODQUOT +#define rounded_product(a,b) ((a) = rnd_prod((a), (b))) +#define rounded_quotient(a,b) ((a) = rnd_quot((a), (b))) +extern double rnd_prod(double, double), rnd_quot(double, double); +#else +#define rounded_product(a,b) ((a) *= (b)) +#define rounded_quotient(a,b) ((a) /= (b)) +#endif + +#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1)) +#define Big1 0xffffffff + +#ifndef Pack_32 +#define Pack_32 +#endif + +#define FFFFFFFF 0xffffffffUL + +#ifdef NO_LONG_LONG +#undef ULLong +#ifdef Just_16 +#undef Pack_32 +/* When Pack_32 is not defined, we store 16 bits per 32-bit Long. + * This makes some inner loops simpler and sometimes saves work + * during multiplications, but it often seems to make things slightly + * slower. Hence the default is now to store 32 bits per Long. + */ +#endif +#else /* long long available */ +#ifndef Llong +#define Llong long long +#endif +#ifndef ULLong +#define ULLong unsigned Llong +#endif +#endif /* NO_LONG_LONG */ + +#define MULTIPLE_THREADS 1 + +#ifndef MULTIPLE_THREADS +#define ACQUIRE_DTOA_LOCK(n) /*nothing*/ +#define FREE_DTOA_LOCK(n) /*nothing*/ +#else +#define ACQUIRE_DTOA_LOCK(n) /*unused right now*/ +#define FREE_DTOA_LOCK(n) /*unused right now*/ +#endif + +#ifndef ATOMIC_PTR_CAS +#define ATOMIC_PTR_CAS(var, old, new) ((var) = (new), (old)) +#endif +#ifndef LIKELY +#define LIKELY(x) (x) +#endif +#ifndef UNLIKELY +#define UNLIKELY(x) (x) +#endif +#ifndef ASSUME +#define ASSUME(x) (void)(x) +#endif + +#define Kmax 15 + +struct Bigint { + struct Bigint *next; + int k, maxwds, sign, wds; + ULong x[1]; +}; + +typedef struct Bigint Bigint; + +static Bigint *freelist[Kmax+1]; + +static Bigint * +Balloc(int k) +{ + int x; + Bigint *rv; +#ifndef Omit_Private_Memory + size_t len; +#endif + + rv = 0; + ACQUIRE_DTOA_LOCK(0); + if (k <= Kmax) { + rv = freelist[k]; + while (rv) { + Bigint *rvn = rv; + rv = ATOMIC_PTR_CAS(freelist[k], rv, rv->next); + if (LIKELY(rvn == rv)) { + ASSUME(rv); + break; + } + } + } + if (!rv) { + x = 1 << k; +#ifdef Omit_Private_Memory + rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong)); +#else + len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1) + /sizeof(double); + if (k <= Kmax) { + double *pnext = pmem_next; + while (pnext - private_mem + len <= PRIVATE_mem) { + double *p = pnext; + pnext = ATOMIC_PTR_CAS(pmem_next, pnext, pnext + len); + if (LIKELY(p == pnext)) { + rv = (Bigint*)pnext; + ASSUME(rv); + break; + } + } + } + if (!rv) + rv = (Bigint*)MALLOC(len*sizeof(double)); +#endif + rv->k = k; + rv->maxwds = x; + } + FREE_DTOA_LOCK(0); + rv->sign = rv->wds = 0; + return rv; +} + +static void +Bfree(Bigint *v) +{ + Bigint *vn; + if (v) { + if (v->k > Kmax) { + FREE(v); + return; + } + ACQUIRE_DTOA_LOCK(0); + do { + vn = v->next = freelist[v->k]; + } while (UNLIKELY(ATOMIC_PTR_CAS(freelist[v->k], vn, v) != vn)); + FREE_DTOA_LOCK(0); + } +} + +#define Bcopy(x,y) memcpy((char *)&(x)->sign, (char *)&(y)->sign, \ +(y)->wds*sizeof(Long) + 2*sizeof(int)) + +static Bigint * +multadd(Bigint *b, int m, int a) /* multiply by m and add a */ +{ + int i, wds; + ULong *x; +#ifdef ULLong + ULLong carry, y; +#else + ULong carry, y; +#ifdef Pack_32 + ULong xi, z; +#endif +#endif + Bigint *b1; + + wds = b->wds; + x = b->x; + i = 0; + carry = a; + do { +#ifdef ULLong + y = *x * (ULLong)m + carry; + carry = y >> 32; + *x++ = (ULong)(y & FFFFFFFF); +#else +#ifdef Pack_32 + xi = *x; + y = (xi & 0xffff) * m + carry; + z = (xi >> 16) * m + (y >> 16); + carry = z >> 16; + *x++ = (z << 16) + (y & 0xffff); +#else + y = *x * m + carry; + carry = y >> 16; + *x++ = y & 0xffff; +#endif +#endif + } while (++i < wds); + if (carry) { + if (wds >= b->maxwds) { + b1 = Balloc(b->k+1); + Bcopy(b1, b); + Bfree(b); + b = b1; + } + b->x[wds++] = (ULong)carry; + b->wds = wds; + } + return b; +} + +static Bigint * +s2b(const char *s, int nd0, int nd, ULong y9) +{ + Bigint *b; + int i, k; + Long x, y; + + x = (nd + 8) / 9; + for (k = 0, y = 1; x > y; y <<= 1, k++) ; +#ifdef Pack_32 + b = Balloc(k); + b->x[0] = y9; + b->wds = 1; +#else + b = Balloc(k+1); + b->x[0] = y9 & 0xffff; + b->wds = (b->x[1] = y9 >> 16) ? 2 : 1; +#endif + + i = 9; + if (9 < nd0) { + s += 9; + do { + b = multadd(b, 10, *s++ - '0'); + } while (++i < nd0); + s++; + } + else + s += 10; + for (; i < nd; i++) + b = multadd(b, 10, *s++ - '0'); + return b; +} + +static int +hi0bits(register ULong x) +{ + register int k = 0; + + if (!(x & 0xffff0000)) { + k = 16; + x <<= 16; + } + if (!(x & 0xff000000)) { + k += 8; + x <<= 8; + } + if (!(x & 0xf0000000)) { + k += 4; + x <<= 4; + } + if (!(x & 0xc0000000)) { + k += 2; + x <<= 2; + } + if (!(x & 0x80000000)) { + k++; + if (!(x & 0x40000000)) + return 32; + } + return k; +} + +static int +lo0bits(ULong *y) +{ + register int k; + register ULong x = *y; + + if (x & 7) { + if (x & 1) + return 0; + if (x & 2) { + *y = x >> 1; + return 1; + } + *y = x >> 2; + return 2; + } + k = 0; + if (!(x & 0xffff)) { + k = 16; + x >>= 16; + } + if (!(x & 0xff)) { + k += 8; + x >>= 8; + } + if (!(x & 0xf)) { + k += 4; + x >>= 4; + } + if (!(x & 0x3)) { + k += 2; + x >>= 2; + } + if (!(x & 1)) { + k++; + x >>= 1; + if (!x) + return 32; + } + *y = x; + return k; +} + +static Bigint * +i2b(int i) +{ + Bigint *b; + + b = Balloc(1); + b->x[0] = i; + b->wds = 1; + return b; +} + +static Bigint * +mult(Bigint *a, Bigint *b) +{ + Bigint *c; + int k, wa, wb, wc; + ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0; + ULong y; +#ifdef ULLong + ULLong carry, z; +#else + ULong carry, z; +#ifdef Pack_32 + ULong z2; +#endif +#endif + + if (a->wds < b->wds) { + c = a; + a = b; + b = c; + } + k = a->k; + wa = a->wds; + wb = b->wds; + wc = wa + wb; + if (wc > a->maxwds) + k++; + c = Balloc(k); + for (x = c->x, xa = x + wc; x < xa; x++) + *x = 0; + xa = a->x; + xae = xa + wa; + xb = b->x; + xbe = xb + wb; + xc0 = c->x; +#ifdef ULLong + for (; xb < xbe; xc0++) { + if ((y = *xb++) != 0) { + x = xa; + xc = xc0; + carry = 0; + do { + z = *x++ * (ULLong)y + *xc + carry; + carry = z >> 32; + *xc++ = (ULong)(z & FFFFFFFF); + } while (x < xae); + *xc = (ULong)carry; + } + } +#else +#ifdef Pack_32 + for (; xb < xbe; xb++, xc0++) { + if ((y = *xb & 0xffff) != 0) { + x = xa; + xc = xc0; + carry = 0; + do { + z = (*x & 0xffff) * y + (*xc & 0xffff) + carry; + carry = z >> 16; + z2 = (*x++ >> 16) * y + (*xc >> 16) + carry; + carry = z2 >> 16; + Storeinc(xc, z2, z); + } while (x < xae); + *xc = (ULong)carry; + } + if ((y = *xb >> 16) != 0) { + x = xa; + xc = xc0; + carry = 0; + z2 = *xc; + do { + z = (*x & 0xffff) * y + (*xc >> 16) + carry; + carry = z >> 16; + Storeinc(xc, z, z2); + z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry; + carry = z2 >> 16; + } while (x < xae); + *xc = z2; + } + } +#else + for (; xb < xbe; xc0++) { + if (y = *xb++) { + x = xa; + xc = xc0; + carry = 0; + do { + z = *x++ * y + *xc + carry; + carry = z >> 16; + *xc++ = z & 0xffff; + } while (x < xae); + *xc = (ULong)carry; + } + } +#endif +#endif + for (xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ; + c->wds = wc; + return c; +} + +static Bigint *p5s; + +static Bigint * +pow5mult(Bigint *b, int k) +{ + Bigint *b1, *p5, *p51; + Bigint *p5tmp; + int i; + static const int p05[3] = { 5, 25, 125 }; + + if ((i = k & 3) != 0) + b = multadd(b, p05[i-1], 0); + + if (!(k >>= 2)) + return b; + if (!(p5 = p5s)) { + /* first time */ + ACQUIRE_DTOA_LOCK(1); + if (!(p5 = p5s)) { + p5 = i2b(625); + p5->next = 0; + p5tmp = ATOMIC_PTR_CAS(p5s, NULL, p5); + if (UNLIKELY(p5tmp)) { + Bfree(p5); + p5 = p5tmp; + } + } + FREE_DTOA_LOCK(1); + } + for (;;) { + if (k & 1) { + b1 = mult(b, p5); + Bfree(b); + b = b1; + } + if (!(k >>= 1)) + break; + if (!(p51 = p5->next)) { + ACQUIRE_DTOA_LOCK(1); + if (!(p51 = p5->next)) { + p51 = mult(p5,p5); + p51->next = 0; + p5tmp = ATOMIC_PTR_CAS(p5->next, NULL, p51); + if (UNLIKELY(p5tmp)) { + Bfree(p51); + p51 = p5tmp; + } + } + FREE_DTOA_LOCK(1); + } + p5 = p51; + } + return b; +} + +static Bigint * +lshift(Bigint *b, int k) +{ + int i, k1, n, n1; + Bigint *b1; + ULong *x, *x1, *xe, z; + +#ifdef Pack_32 + n = k >> 5; +#else + n = k >> 4; +#endif + k1 = b->k; + n1 = n + b->wds + 1; + for (i = b->maxwds; n1 > i; i <<= 1) + k1++; + b1 = Balloc(k1); + x1 = b1->x; + for (i = 0; i < n; i++) + *x1++ = 0; + x = b->x; + xe = x + b->wds; +#ifdef Pack_32 + if (k &= 0x1f) { + k1 = 32 - k; + z = 0; + do { + *x1++ = *x << k | z; + z = *x++ >> k1; + } while (x < xe); + if ((*x1 = z) != 0) + ++n1; + } +#else + if (k &= 0xf) { + k1 = 16 - k; + z = 0; + do { + *x1++ = *x << k & 0xffff | z; + z = *x++ >> k1; + } while (x < xe); + if (*x1 = z) + ++n1; + } +#endif + else + do { + *x1++ = *x++; + } while (x < xe); + b1->wds = n1 - 1; + Bfree(b); + return b1; +} + +static int +cmp(Bigint *a, Bigint *b) +{ + ULong *xa, *xa0, *xb, *xb0; + int i, j; + + i = a->wds; + j = b->wds; +#ifdef DEBUG + if (i > 1 && !a->x[i-1]) + Bug("cmp called with a->x[a->wds-1] == 0"); + if (j > 1 && !b->x[j-1]) + Bug("cmp called with b->x[b->wds-1] == 0"); +#endif + if (i -= j) + return i; + xa0 = a->x; + xa = xa0 + j; + xb0 = b->x; + xb = xb0 + j; + for (;;) { + if (*--xa != *--xb) + return *xa < *xb ? -1 : 1; + if (xa <= xa0) + break; + } + return 0; +} + +NO_SANITIZE("unsigned-integer-overflow", static Bigint * diff(Bigint *a, Bigint *b)); +static Bigint * +diff(Bigint *a, Bigint *b) +{ + Bigint *c; + int i, wa, wb; + ULong *xa, *xae, *xb, *xbe, *xc; +#ifdef ULLong + ULLong borrow, y; +#else + ULong borrow, y; +#ifdef Pack_32 + ULong z; +#endif +#endif + + i = cmp(a,b); + if (!i) { + c = Balloc(0); + c->wds = 1; + c->x[0] = 0; + return c; + } + if (i < 0) { + c = a; + a = b; + b = c; + i = 1; + } + else + i = 0; + c = Balloc(a->k); + c->sign = i; + wa = a->wds; + xa = a->x; + xae = xa + wa; + wb = b->wds; + xb = b->x; + xbe = xb + wb; + xc = c->x; + borrow = 0; +#ifdef ULLong + do { + y = (ULLong)*xa++ - *xb++ - borrow; + borrow = y >> 32 & (ULong)1; + *xc++ = (ULong)(y & FFFFFFFF); + } while (xb < xbe); + while (xa < xae) { + y = *xa++ - borrow; + borrow = y >> 32 & (ULong)1; + *xc++ = (ULong)(y & FFFFFFFF); + } +#else +#ifdef Pack_32 + do { + y = (*xa & 0xffff) - (*xb & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + z = (*xa++ >> 16) - (*xb++ >> 16) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(xc, z, y); + } while (xb < xbe); + while (xa < xae) { + y = (*xa & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + z = (*xa++ >> 16) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(xc, z, y); + } +#else + do { + y = *xa++ - *xb++ - borrow; + borrow = (y & 0x10000) >> 16; + *xc++ = y & 0xffff; + } while (xb < xbe); + while (xa < xae) { + y = *xa++ - borrow; + borrow = (y & 0x10000) >> 16; + *xc++ = y & 0xffff; + } +#endif +#endif + while (!*--xc) + wa--; + c->wds = wa; + return c; +} + +static double +ulp(double x_) +{ + register Long L; + double_u x, a; + dval(x) = x_; + + L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1; +#ifndef Avoid_Underflow +#ifndef Sudden_Underflow + if (L > 0) { +#endif +#endif +#ifdef IBM + L |= Exp_msk1 >> 4; +#endif + word0(a) = L; + word1(a) = 0; +#ifndef Avoid_Underflow +#ifndef Sudden_Underflow + } + else { + L = -L >> Exp_shift; + if (L < Exp_shift) { + word0(a) = 0x80000 >> L; + word1(a) = 0; + } + else { + word0(a) = 0; + L -= Exp_shift; + word1(a) = L >= 31 ? 1 : 1 << 31 - L; + } + } +#endif +#endif + return dval(a); +} + +static double +b2d(Bigint *a, int *e) +{ + ULong *xa, *xa0, w, y, z; + int k; + double_u d; +#ifdef VAX + ULong d0, d1; +#else +#define d0 word0(d) +#define d1 word1(d) +#endif + + xa0 = a->x; + xa = xa0 + a->wds; + y = *--xa; +#ifdef DEBUG + if (!y) Bug("zero y in b2d"); +#endif + k = hi0bits(y); + *e = 32 - k; +#ifdef Pack_32 + if (k < Ebits) { + d0 = Exp_1 | y >> (Ebits - k); + w = xa > xa0 ? *--xa : 0; + d1 = y << ((32-Ebits) + k) | w >> (Ebits - k); + goto ret_d; + } + z = xa > xa0 ? *--xa : 0; + if (k -= Ebits) { + d0 = Exp_1 | y << k | z >> (32 - k); + y = xa > xa0 ? *--xa : 0; + d1 = z << k | y >> (32 - k); + } + else { + d0 = Exp_1 | y; + d1 = z; + } +#else + if (k < Ebits + 16) { + z = xa > xa0 ? *--xa : 0; + d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k; + w = xa > xa0 ? *--xa : 0; + y = xa > xa0 ? *--xa : 0; + d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k; + goto ret_d; + } + z = xa > xa0 ? *--xa : 0; + w = xa > xa0 ? *--xa : 0; + k -= Ebits + 16; + d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k; + y = xa > xa0 ? *--xa : 0; + d1 = w << k + 16 | y << k; +#endif +ret_d: +#ifdef VAX + word0(d) = d0 >> 16 | d0 << 16; + word1(d) = d1 >> 16 | d1 << 16; +#else +#undef d0 +#undef d1 +#endif + return dval(d); +} + +static Bigint * +d2b(double d_, int *e, int *bits) +{ + double_u d; + Bigint *b; + int de, k; + ULong *x, y, z; +#ifndef Sudden_Underflow + int i; +#endif +#ifdef VAX + ULong d0, d1; +#endif + dval(d) = d_; +#ifdef VAX + d0 = word0(d) >> 16 | word0(d) << 16; + d1 = word1(d) >> 16 | word1(d) << 16; +#else +#define d0 word0(d) +#define d1 word1(d) +#endif + +#ifdef Pack_32 + b = Balloc(1); +#else + b = Balloc(2); +#endif + x = b->x; + + z = d0 & Frac_mask; + d0 &= 0x7fffffff; /* clear sign bit, which we ignore */ +#ifdef Sudden_Underflow + de = (int)(d0 >> Exp_shift); +#ifndef IBM + z |= Exp_msk11; +#endif +#else + if ((de = (int)(d0 >> Exp_shift)) != 0) + z |= Exp_msk1; +#endif +#ifdef Pack_32 + if ((y = d1) != 0) { + if ((k = lo0bits(&y)) != 0) { + x[0] = y | z << (32 - k); + z >>= k; + } + else + x[0] = y; +#ifndef Sudden_Underflow + i = +#endif + b->wds = (x[1] = z) ? 2 : 1; + } + else { +#ifdef DEBUG + if (!z) + Bug("Zero passed to d2b"); +#endif + k = lo0bits(&z); + x[0] = z; +#ifndef Sudden_Underflow + i = +#endif + b->wds = 1; + k += 32; + } +#else + if (y = d1) { + if (k = lo0bits(&y)) + if (k >= 16) { + x[0] = y | z << 32 - k & 0xffff; + x[1] = z >> k - 16 & 0xffff; + x[2] = z >> k; + i = 2; + } + else { + x[0] = y & 0xffff; + x[1] = y >> 16 | z << 16 - k & 0xffff; + x[2] = z >> k & 0xffff; + x[3] = z >> k+16; + i = 3; + } + else { + x[0] = y & 0xffff; + x[1] = y >> 16; + x[2] = z & 0xffff; + x[3] = z >> 16; + i = 3; + } + } + else { +#ifdef DEBUG + if (!z) + Bug("Zero passed to d2b"); +#endif + k = lo0bits(&z); + if (k >= 16) { + x[0] = z; + i = 0; + } + else { + x[0] = z & 0xffff; + x[1] = z >> 16; + i = 1; + } + k += 32; + } + while (!x[i]) + --i; + b->wds = i + 1; +#endif +#ifndef Sudden_Underflow + if (de) { +#endif +#ifdef IBM + *e = (de - Bias - (P-1) << 2) + k; + *bits = 4*P + 8 - k - hi0bits(word0(d) & Frac_mask); +#else + *e = de - Bias - (P-1) + k; + *bits = P - k; +#endif +#ifndef Sudden_Underflow + } + else { + *e = de - Bias - (P-1) + 1 + k; +#ifdef Pack_32 + *bits = 32*i - hi0bits(x[i-1]); +#else + *bits = (i+2)*16 - hi0bits(x[i]); +#endif + } +#endif + return b; +} +#undef d0 +#undef d1 + +static double +ratio(Bigint *a, Bigint *b) +{ + double_u da, db; + int k, ka, kb; + + dval(da) = b2d(a, &ka); + dval(db) = b2d(b, &kb); +#ifdef Pack_32 + k = ka - kb + 32*(a->wds - b->wds); +#else + k = ka - kb + 16*(a->wds - b->wds); +#endif +#ifdef IBM + if (k > 0) { + word0(da) += (k >> 2)*Exp_msk1; + if (k &= 3) + dval(da) *= 1 << k; + } + else { + k = -k; + word0(db) += (k >> 2)*Exp_msk1; + if (k &= 3) + dval(db) *= 1 << k; + } +#else + if (k > 0) + word0(da) += k*Exp_msk1; + else { + k = -k; + word0(db) += k*Exp_msk1; + } +#endif + return dval(da) / dval(db); +} + +static const double +tens[] = { + 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, + 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, + 1e20, 1e21, 1e22 +#ifdef VAX + , 1e23, 1e24 +#endif +}; + +static const double +#ifdef IEEE_Arith +bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 }; +static const double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, +#ifdef Avoid_Underflow + 9007199254740992.*9007199254740992.e-256 + /* = 2^106 * 1e-53 */ +#else + 1e-256 +#endif +}; +/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */ +/* flag unnecessarily. It leads to a song and dance at the end of strtod. */ +#define Scale_Bit 0x10 +#define n_bigtens 5 +#else +#ifdef IBM +bigtens[] = { 1e16, 1e32, 1e64 }; +static const double tinytens[] = { 1e-16, 1e-32, 1e-64 }; +#define n_bigtens 3 +#else +bigtens[] = { 1e16, 1e32 }; +static const double tinytens[] = { 1e-16, 1e-32 }; +#define n_bigtens 2 +#endif +#endif + +#ifndef IEEE_Arith +#undef INFNAN_CHECK +#endif + +#ifdef INFNAN_CHECK + +#ifndef NAN_WORD0 +#define NAN_WORD0 0x7ff80000 +#endif + +#ifndef NAN_WORD1 +#define NAN_WORD1 0 +#endif + +static int +match(const char **sp, char *t) +{ + int c, d; + const char *s = *sp; + + while (d = *t++) { + if ((c = *++s) >= 'A' && c <= 'Z') + c += 'a' - 'A'; + if (c != d) + return 0; + } + *sp = s + 1; + return 1; +} + +#ifndef No_Hex_NaN +static void +hexnan(double *rvp, const char **sp) +{ + ULong c, x[2]; + const char *s; + int havedig, udx0, xshift; + + x[0] = x[1] = 0; + havedig = xshift = 0; + udx0 = 1; + s = *sp; + while (c = *(const unsigned char*)++s) { + if (c >= '0' && c <= '9') + c -= '0'; + else if (c >= 'a' && c <= 'f') + c += 10 - 'a'; + else if (c >= 'A' && c <= 'F') + c += 10 - 'A'; + else if (c <= ' ') { + if (udx0 && havedig) { + udx0 = 0; + xshift = 1; + } + continue; + } + else if (/*(*/ c == ')' && havedig) { + *sp = s + 1; + break; + } + else + return; /* invalid form: don't change *sp */ + havedig = 1; + if (xshift) { + xshift = 0; + x[0] = x[1]; + x[1] = 0; + } + if (udx0) + x[0] = (x[0] << 4) | (x[1] >> 28); + x[1] = (x[1] << 4) | c; + } + if ((x[0] &= 0xfffff) || x[1]) { + word0(*rvp) = Exp_mask | x[0]; + word1(*rvp) = x[1]; + } +} +#endif /*No_Hex_NaN*/ +#endif /* INFNAN_CHECK */ + +NO_SANITIZE("unsigned-integer-overflow", double strtod(const char *s00, char **se)); +double +strtod(const char *s00, char **se) +{ +#ifdef Avoid_Underflow + int scale; +#endif + int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign, + e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign; + const char *s, *s0, *s1; + double aadj, adj; + double_u aadj1, rv, rv0; + Long L; + ULong y, z; + Bigint *bb, *bb1, *bd, *bd0, *bs, *delta; +#ifdef SET_INEXACT + int inexact, oldinexact; +#endif +#ifdef Honor_FLT_ROUNDS + int rounding; +#endif +#ifdef USE_LOCALE + const char *s2; +#endif + + errno = 0; + sign = nz0 = nz = 0; + dval(rv) = 0.; + for (s = s00;;s++) + switch (*s) { + case '-': + sign = 1; + /* no break */ + case '+': + if (*++s) + goto break2; + /* no break */ + case 0: + goto ret0; + case '\t': + case '\n': + case '\v': + case '\f': + case '\r': + case ' ': + continue; + default: + goto break2; + } +break2: + if (*s == '0') { + if (s[1] == 'x' || s[1] == 'X') { + s0 = ++s; + adj = 0; + aadj = 1.0; + nd0 = -4; + + if (!*++s || !(s1 = strchr(hexdigit, *s))) goto ret0; + if (*s == '0') { + while (*++s == '0'); + s1 = strchr(hexdigit, *s); + } + if (s1 != NULL) { + do { + adj += aadj * ((s1 - hexdigit) & 15); + nd0 += 4; + aadj /= 16; + } while (*++s && (s1 = strchr(hexdigit, *s))); + } + + if (*s == '.') { + dsign = 1; + if (!*++s || !(s1 = strchr(hexdigit, *s))) goto ret0; + if (nd0 < 0) { + while (*s == '0') { + s++; + nd0 -= 4; + } + } + for (; *s && (s1 = strchr(hexdigit, *s)); ++s) { + adj += aadj * ((s1 - hexdigit) & 15); + if ((aadj /= 16) == 0.0) { + while (strchr(hexdigit, *++s)); + break; + } + } + } + else { + dsign = 0; + } + + if (*s == 'P' || *s == 'p') { + dsign = 0x2C - *++s; /* +: 2B, -: 2D */ + if (abs(dsign) == 1) s++; + else dsign = 1; + + nd = 0; + c = *s; + if (c < '0' || '9' < c) goto ret0; + do { + nd *= 10; + nd += c; + nd -= '0'; + c = *++s; + /* Float("0x0."+("0"*267)+"1fp2095") */ + if (nd + dsign * nd0 > 2095) { + while ('0' <= c && c <= '9') c = *++s; + break; + } + } while ('0' <= c && c <= '9'); + nd0 += nd * dsign; + } + else { + if (dsign) goto ret0; + } + dval(rv) = ldexp(adj, nd0); + goto ret; + } + nz0 = 1; + while (*++s == '0') ; + if (!*s) + goto ret; + } + s0 = s; + y = z = 0; + for (nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++) + if (nd < 9) + y = 10*y + c - '0'; + else if (nd < DBL_DIG + 2) + z = 10*z + c - '0'; + nd0 = nd; +#ifdef USE_LOCALE + s1 = localeconv()->decimal_point; + if (c == *s1) { + c = '.'; + if (*++s1) { + s2 = s; + for (;;) { + if (*++s2 != *s1) { + c = 0; + break; + } + if (!*++s1) { + s = s2; + break; + } + } + } + } +#endif + if (c == '.') { + if (!ISDIGIT(s[1])) + goto dig_done; + c = *++s; + if (!nd) { + for (; c == '0'; c = *++s) + nz++; + if (c > '0' && c <= '9') { + s0 = s; + nf += nz; + nz = 0; + goto have_dig; + } + goto dig_done; + } + for (; c >= '0' && c <= '9'; c = *++s) { +have_dig: + nz++; + if (nd > DBL_DIG * 4) { + continue; + } + if (c -= '0') { + nf += nz; + for (i = 1; i < nz; i++) + if (nd++ < 9) + y *= 10; + else if (nd <= DBL_DIG + 2) + z *= 10; + if (nd++ < 9) + y = 10*y + c; + else if (nd <= DBL_DIG + 2) + z = 10*z + c; + nz = 0; + } + } + } +dig_done: + e = 0; + if (c == 'e' || c == 'E') { + if (!nd && !nz && !nz0) { + goto ret0; + } + s00 = s; + esign = 0; + switch (c = *++s) { + case '-': + esign = 1; + case '+': + c = *++s; + } + if (c >= '0' && c <= '9') { + while (c == '0') + c = *++s; + if (c > '0' && c <= '9') { + L = c - '0'; + s1 = s; + while ((c = *++s) >= '0' && c <= '9') + L = 10*L + c - '0'; + if (s - s1 > 8 || L > 19999) + /* Avoid confusion from exponents + * so large that e might overflow. + */ + e = 19999; /* safe for 16 bit ints */ + else + e = (int)L; + if (esign) + e = -e; + } + else + e = 0; + } + else + s = s00; + } + if (!nd) { + if (!nz && !nz0) { +#ifdef INFNAN_CHECK + /* Check for Nan and Infinity */ + switch (c) { + case 'i': + case 'I': + if (match(&s,"nf")) { + --s; + if (!match(&s,"inity")) + ++s; + word0(rv) = 0x7ff00000; + word1(rv) = 0; + goto ret; + } + break; + case 'n': + case 'N': + if (match(&s, "an")) { + word0(rv) = NAN_WORD0; + word1(rv) = NAN_WORD1; +#ifndef No_Hex_NaN + if (*s == '(') /*)*/ + hexnan(&rv, &s); +#endif + goto ret; + } + } +#endif /* INFNAN_CHECK */ +ret0: + s = s00; + sign = 0; + } + goto ret; + } + e1 = e -= nf; + + /* Now we have nd0 digits, starting at s0, followed by a + * decimal point, followed by nd-nd0 digits. The number we're + * after is the integer represented by those digits times + * 10**e */ + + if (!nd0) + nd0 = nd; + k = nd < DBL_DIG + 2 ? nd : DBL_DIG + 2; + dval(rv) = y; + if (k > 9) { +#ifdef SET_INEXACT + if (k > DBL_DIG) + oldinexact = get_inexact(); +#endif + dval(rv) = tens[k - 9] * dval(rv) + z; + } + bd0 = bb = bd = bs = delta = 0; + if (nd <= DBL_DIG +#ifndef RND_PRODQUOT +#ifndef Honor_FLT_ROUNDS + && Flt_Rounds == 1 +#endif +#endif + ) { + if (!e) + goto ret; + if (e > 0) { + if (e <= Ten_pmax) { +#ifdef VAX + goto vax_ovfl_check; +#else +#ifdef Honor_FLT_ROUNDS + /* round correctly FLT_ROUNDS = 2 or 3 */ + if (sign) { + dval(rv) = -dval(rv); + sign = 0; + } +#endif + /* rv = */ rounded_product(dval(rv), tens[e]); + goto ret; +#endif + } + i = DBL_DIG - nd; + if (e <= Ten_pmax + i) { + /* A fancier test would sometimes let us do + * this for larger i values. + */ +#ifdef Honor_FLT_ROUNDS + /* round correctly FLT_ROUNDS = 2 or 3 */ + if (sign) { + dval(rv) = -dval(rv); + sign = 0; + } +#endif + e -= i; + dval(rv) *= tens[i]; +#ifdef VAX + /* VAX exponent range is so narrow we must + * worry about overflow here... + */ +vax_ovfl_check: + word0(rv) -= P*Exp_msk1; + /* rv = */ rounded_product(dval(rv), tens[e]); + if ((word0(rv) & Exp_mask) + > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) + goto ovfl; + word0(rv) += P*Exp_msk1; +#else + /* rv = */ rounded_product(dval(rv), tens[e]); +#endif + goto ret; + } + } +#ifndef Inaccurate_Divide + else if (e >= -Ten_pmax) { +#ifdef Honor_FLT_ROUNDS + /* round correctly FLT_ROUNDS = 2 or 3 */ + if (sign) { + dval(rv) = -dval(rv); + sign = 0; + } +#endif + /* rv = */ rounded_quotient(dval(rv), tens[-e]); + goto ret; + } +#endif + } + e1 += nd - k; + +#ifdef IEEE_Arith +#ifdef SET_INEXACT + inexact = 1; + if (k <= DBL_DIG) + oldinexact = get_inexact(); +#endif +#ifdef Avoid_Underflow + scale = 0; +#endif +#ifdef Honor_FLT_ROUNDS + if ((rounding = Flt_Rounds) >= 2) { + if (sign) + rounding = rounding == 2 ? 0 : 2; + else + if (rounding != 2) + rounding = 0; + } +#endif +#endif /*IEEE_Arith*/ + + /* Get starting approximation = rv * 10**e1 */ + + if (e1 > 0) { + if ((i = e1 & 15) != 0) + dval(rv) *= tens[i]; + if (e1 &= ~15) { + if (e1 > DBL_MAX_10_EXP) { +ovfl: +#ifndef NO_ERRNO + errno = ERANGE; +#endif + /* Can't trust HUGE_VAL */ +#ifdef IEEE_Arith +#ifdef Honor_FLT_ROUNDS + switch (rounding) { + case 0: /* toward 0 */ + case 3: /* toward -infinity */ + word0(rv) = Big0; + word1(rv) = Big1; + break; + default: + word0(rv) = Exp_mask; + word1(rv) = 0; + } +#else /*Honor_FLT_ROUNDS*/ + word0(rv) = Exp_mask; + word1(rv) = 0; +#endif /*Honor_FLT_ROUNDS*/ +#ifdef SET_INEXACT + /* set overflow bit */ + dval(rv0) = 1e300; + dval(rv0) *= dval(rv0); +#endif +#else /*IEEE_Arith*/ + word0(rv) = Big0; + word1(rv) = Big1; +#endif /*IEEE_Arith*/ + if (bd0) + goto retfree; + goto ret; + } + e1 >>= 4; + for (j = 0; e1 > 1; j++, e1 >>= 1) + if (e1 & 1) + dval(rv) *= bigtens[j]; + /* The last multiplication could overflow. */ + word0(rv) -= P*Exp_msk1; + dval(rv) *= bigtens[j]; + if ((z = word0(rv) & Exp_mask) + > Exp_msk1*(DBL_MAX_EXP+Bias-P)) + goto ovfl; + if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) { + /* set to largest number */ + /* (Can't trust DBL_MAX) */ + word0(rv) = Big0; + word1(rv) = Big1; + } + else + word0(rv) += P*Exp_msk1; + } + } + else if (e1 < 0) { + e1 = -e1; + if ((i = e1 & 15) != 0) + dval(rv) /= tens[i]; + if (e1 >>= 4) { + if (e1 >= 1 << n_bigtens) + goto undfl; +#ifdef Avoid_Underflow + if (e1 & Scale_Bit) + scale = 2*P; + for (j = 0; e1 > 0; j++, e1 >>= 1) + if (e1 & 1) + dval(rv) *= tinytens[j]; + if (scale && (j = 2*P + 1 - ((word0(rv) & Exp_mask) + >> Exp_shift)) > 0) { + /* scaled rv is denormal; zap j low bits */ + if (j >= 32) { + word1(rv) = 0; + if (j >= 53) + word0(rv) = (P+2)*Exp_msk1; + else + word0(rv) &= 0xffffffff << (j-32); + } + else + word1(rv) &= 0xffffffff << j; + } +#else + for (j = 0; e1 > 1; j++, e1 >>= 1) + if (e1 & 1) + dval(rv) *= tinytens[j]; + /* The last multiplication could underflow. */ + dval(rv0) = dval(rv); + dval(rv) *= tinytens[j]; + if (!dval(rv)) { + dval(rv) = 2.*dval(rv0); + dval(rv) *= tinytens[j]; +#endif + if (!dval(rv)) { +undfl: + dval(rv) = 0.; +#ifndef NO_ERRNO + errno = ERANGE; +#endif + if (bd0) + goto retfree; + goto ret; + } +#ifndef Avoid_Underflow + word0(rv) = Tiny0; + word1(rv) = Tiny1; + /* The refinement below will clean + * this approximation up. + */ + } +#endif + } + } + + /* Now the hard part -- adjusting rv to the correct value.*/ + + /* Put digits into bd: true value = bd * 10^e */ + + bd0 = s2b(s0, nd0, nd, y); + + for (;;) { + bd = Balloc(bd0->k); + Bcopy(bd, bd0); + bb = d2b(dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */ + bs = i2b(1); + + if (e >= 0) { + bb2 = bb5 = 0; + bd2 = bd5 = e; + } + else { + bb2 = bb5 = -e; + bd2 = bd5 = 0; + } + if (bbe >= 0) + bb2 += bbe; + else + bd2 -= bbe; + bs2 = bb2; +#ifdef Honor_FLT_ROUNDS + if (rounding != 1) + bs2++; +#endif +#ifdef Avoid_Underflow + j = bbe - scale; + i = j + bbbits - 1; /* logb(rv) */ + if (i < Emin) /* denormal */ + j += P - Emin; + else + j = P + 1 - bbbits; +#else /*Avoid_Underflow*/ +#ifdef Sudden_Underflow +#ifdef IBM + j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3); +#else + j = P + 1 - bbbits; +#endif +#else /*Sudden_Underflow*/ + j = bbe; + i = j + bbbits - 1; /* logb(rv) */ + if (i < Emin) /* denormal */ + j += P - Emin; + else + j = P + 1 - bbbits; +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + bb2 += j; + bd2 += j; +#ifdef Avoid_Underflow + bd2 += scale; +#endif + i = bb2 < bd2 ? bb2 : bd2; + if (i > bs2) + i = bs2; + if (i > 0) { + bb2 -= i; + bd2 -= i; + bs2 -= i; + } + if (bb5 > 0) { + bs = pow5mult(bs, bb5); + bb1 = mult(bs, bb); + Bfree(bb); + bb = bb1; + } + if (bb2 > 0) + bb = lshift(bb, bb2); + if (bd5 > 0) + bd = pow5mult(bd, bd5); + if (bd2 > 0) + bd = lshift(bd, bd2); + if (bs2 > 0) + bs = lshift(bs, bs2); + delta = diff(bb, bd); + dsign = delta->sign; + delta->sign = 0; + i = cmp(delta, bs); +#ifdef Honor_FLT_ROUNDS + if (rounding != 1) { + if (i < 0) { + /* Error is less than an ulp */ + if (!delta->x[0] && delta->wds <= 1) { + /* exact */ +#ifdef SET_INEXACT + inexact = 0; +#endif + break; + } + if (rounding) { + if (dsign) { + adj = 1.; + goto apply_adj; + } + } + else if (!dsign) { + adj = -1.; + if (!word1(rv) + && !(word0(rv) & Frac_mask)) { + y = word0(rv) & Exp_mask; +#ifdef Avoid_Underflow + if (!scale || y > 2*P*Exp_msk1) +#else + if (y) +#endif + { + delta = lshift(delta,Log2P); + if (cmp(delta, bs) <= 0) + adj = -0.5; + } + } +apply_adj: +#ifdef Avoid_Underflow + if (scale && (y = word0(rv) & Exp_mask) + <= 2*P*Exp_msk1) + word0(adj) += (2*P+1)*Exp_msk1 - y; +#else +#ifdef Sudden_Underflow + if ((word0(rv) & Exp_mask) <= + P*Exp_msk1) { + word0(rv) += P*Exp_msk1; + dval(rv) += adj*ulp(dval(rv)); + word0(rv) -= P*Exp_msk1; + } + else +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + dval(rv) += adj*ulp(dval(rv)); + } + break; + } + adj = ratio(delta, bs); + if (adj < 1.) + adj = 1.; + if (adj <= 0x7ffffffe) { + /* adj = rounding ? ceil(adj) : floor(adj); */ + y = adj; + if (y != adj) { + if (!((rounding>>1) ^ dsign)) + y++; + adj = y; + } + } +#ifdef Avoid_Underflow + if (scale && (y = word0(rv) & Exp_mask) <= 2*P*Exp_msk1) + word0(adj) += (2*P+1)*Exp_msk1 - y; +#else +#ifdef Sudden_Underflow + if ((word0(rv) & Exp_mask) <= P*Exp_msk1) { + word0(rv) += P*Exp_msk1; + adj *= ulp(dval(rv)); + if (dsign) + dval(rv) += adj; + else + dval(rv) -= adj; + word0(rv) -= P*Exp_msk1; + goto cont; + } +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + adj *= ulp(dval(rv)); + if (dsign) + dval(rv) += adj; + else + dval(rv) -= adj; + goto cont; + } +#endif /*Honor_FLT_ROUNDS*/ + + if (i < 0) { + /* Error is less than half an ulp -- check for + * special case of mantissa a power of two. + */ + if (dsign || word1(rv) || word0(rv) & Bndry_mask +#ifdef IEEE_Arith +#ifdef Avoid_Underflow + || (word0(rv) & Exp_mask) <= (2*P+1)*Exp_msk1 +#else + || (word0(rv) & Exp_mask) <= Exp_msk1 +#endif +#endif + ) { +#ifdef SET_INEXACT + if (!delta->x[0] && delta->wds <= 1) + inexact = 0; +#endif + break; + } + if (!delta->x[0] && delta->wds <= 1) { + /* exact result */ +#ifdef SET_INEXACT + inexact = 0; +#endif + break; + } + delta = lshift(delta,Log2P); + if (cmp(delta, bs) > 0) + goto drop_down; + break; + } + if (i == 0) { + /* exactly half-way between */ + if (dsign) { + if ((word0(rv) & Bndry_mask1) == Bndry_mask1 + && word1(rv) == ( +#ifdef Avoid_Underflow + (scale && (y = word0(rv) & Exp_mask) <= 2*P*Exp_msk1) + ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) : +#endif + 0xffffffff)) { + /*boundary case -- increment exponent*/ + word0(rv) = (word0(rv) & Exp_mask) + + Exp_msk1 +#ifdef IBM + | Exp_msk1 >> 4 +#endif + ; + word1(rv) = 0; +#ifdef Avoid_Underflow + dsign = 0; +#endif + break; + } + } + else if (!(word0(rv) & Bndry_mask) && !word1(rv)) { +drop_down: + /* boundary case -- decrement exponent */ +#ifdef Sudden_Underflow /*{{*/ + L = word0(rv) & Exp_mask; +#ifdef IBM + if (L < Exp_msk1) +#else +#ifdef Avoid_Underflow + if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1)) +#else + if (L <= Exp_msk1) +#endif /*Avoid_Underflow*/ +#endif /*IBM*/ + goto undfl; + L -= Exp_msk1; +#else /*Sudden_Underflow}{*/ +#ifdef Avoid_Underflow + if (scale) { + L = word0(rv) & Exp_mask; + if (L <= (2*P+1)*Exp_msk1) { + if (L > (P+2)*Exp_msk1) + /* round even ==> */ + /* accept rv */ + break; + /* rv = smallest denormal */ + goto undfl; + } + } +#endif /*Avoid_Underflow*/ + L = (word0(rv) & Exp_mask) - Exp_msk1; +#endif /*Sudden_Underflow}}*/ + word0(rv) = L | Bndry_mask1; + word1(rv) = 0xffffffff; +#ifdef IBM + goto cont; +#else + break; +#endif + } +#ifndef ROUND_BIASED + if (!(word1(rv) & LSB)) + break; +#endif + if (dsign) + dval(rv) += ulp(dval(rv)); +#ifndef ROUND_BIASED + else { + dval(rv) -= ulp(dval(rv)); +#ifndef Sudden_Underflow + if (!dval(rv)) + goto undfl; +#endif + } +#ifdef Avoid_Underflow + dsign = 1 - dsign; +#endif +#endif + break; + } + if ((aadj = ratio(delta, bs)) <= 2.) { + if (dsign) + aadj = dval(aadj1) = 1.; + else if (word1(rv) || word0(rv) & Bndry_mask) { +#ifndef Sudden_Underflow + if (word1(rv) == Tiny1 && !word0(rv)) + goto undfl; +#endif + aadj = 1.; + dval(aadj1) = -1.; + } + else { + /* special case -- power of FLT_RADIX to be */ + /* rounded down... */ + + if (aadj < 2./FLT_RADIX) + aadj = 1./FLT_RADIX; + else + aadj *= 0.5; + dval(aadj1) = -aadj; + } + } + else { + aadj *= 0.5; + dval(aadj1) = dsign ? aadj : -aadj; +#ifdef Check_FLT_ROUNDS + switch (Rounding) { + case 2: /* towards +infinity */ + dval(aadj1) -= 0.5; + break; + case 0: /* towards 0 */ + case 3: /* towards -infinity */ + dval(aadj1) += 0.5; + } +#else + if (Flt_Rounds == 0) + dval(aadj1) += 0.5; +#endif /*Check_FLT_ROUNDS*/ + } + y = word0(rv) & Exp_mask; + + /* Check for overflow */ + + if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) { + dval(rv0) = dval(rv); + word0(rv) -= P*Exp_msk1; + adj = dval(aadj1) * ulp(dval(rv)); + dval(rv) += adj; + if ((word0(rv) & Exp_mask) >= + Exp_msk1*(DBL_MAX_EXP+Bias-P)) { + if (word0(rv0) == Big0 && word1(rv0) == Big1) + goto ovfl; + word0(rv) = Big0; + word1(rv) = Big1; + goto cont; + } + else + word0(rv) += P*Exp_msk1; + } + else { +#ifdef Avoid_Underflow + if (scale && y <= 2*P*Exp_msk1) { + if (aadj <= 0x7fffffff) { + if ((z = (int)aadj) <= 0) + z = 1; + aadj = z; + dval(aadj1) = dsign ? aadj : -aadj; + } + word0(aadj1) += (2*P+1)*Exp_msk1 - y; + } + adj = dval(aadj1) * ulp(dval(rv)); + dval(rv) += adj; +#else +#ifdef Sudden_Underflow + if ((word0(rv) & Exp_mask) <= P*Exp_msk1) { + dval(rv0) = dval(rv); + word0(rv) += P*Exp_msk1; + adj = dval(aadj1) * ulp(dval(rv)); + dval(rv) += adj; +#ifdef IBM + if ((word0(rv) & Exp_mask) < P*Exp_msk1) +#else + if ((word0(rv) & Exp_mask) <= P*Exp_msk1) +#endif + { + if (word0(rv0) == Tiny0 && word1(rv0) == Tiny1) + goto undfl; + word0(rv) = Tiny0; + word1(rv) = Tiny1; + goto cont; + } + else + word0(rv) -= P*Exp_msk1; + } + else { + adj = dval(aadj1) * ulp(dval(rv)); + dval(rv) += adj; + } +#else /*Sudden_Underflow*/ + /* Compute adj so that the IEEE rounding rules will + * correctly round rv + adj in some half-way cases. + * If rv * ulp(rv) is denormalized (i.e., + * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid + * trouble from bits lost to denormalization; + * example: 1.2e-307 . + */ + if (y <= (P-1)*Exp_msk1 && aadj > 1.) { + dval(aadj1) = (double)(int)(aadj + 0.5); + if (!dsign) + dval(aadj1) = -dval(aadj1); + } + adj = dval(aadj1) * ulp(dval(rv)); + dval(rv) += adj; +#endif /*Sudden_Underflow*/ +#endif /*Avoid_Underflow*/ + } + z = word0(rv) & Exp_mask; +#ifndef SET_INEXACT +#ifdef Avoid_Underflow + if (!scale) +#endif + if (y == z) { + /* Can we stop now? */ + L = (Long)aadj; + aadj -= L; + /* The tolerances below are conservative. */ + if (dsign || word1(rv) || word0(rv) & Bndry_mask) { + if (aadj < .4999999 || aadj > .5000001) + break; + } + else if (aadj < .4999999/FLT_RADIX) + break; + } +#endif +cont: + Bfree(bb); + Bfree(bd); + Bfree(bs); + Bfree(delta); + } +#ifdef SET_INEXACT + if (inexact) { + if (!oldinexact) { + word0(rv0) = Exp_1 + (70 << Exp_shift); + word1(rv0) = 0; + dval(rv0) += 1.; + } + } + else if (!oldinexact) + clear_inexact(); +#endif +#ifdef Avoid_Underflow + if (scale) { + word0(rv0) = Exp_1 - 2*P*Exp_msk1; + word1(rv0) = 0; + dval(rv) *= dval(rv0); +#ifndef NO_ERRNO + /* try to avoid the bug of testing an 8087 register value */ + if (word0(rv) == 0 && word1(rv) == 0) + errno = ERANGE; +#endif + } +#endif /* Avoid_Underflow */ +#ifdef SET_INEXACT + if (inexact && !(word0(rv) & Exp_mask)) { + /* set underflow bit */ + dval(rv0) = 1e-300; + dval(rv0) *= dval(rv0); + } +#endif +retfree: + Bfree(bb); + Bfree(bd); + Bfree(bs); + Bfree(bd0); + Bfree(delta); +ret: + if (se) + *se = (char *)s; + return sign ? -dval(rv) : dval(rv); +} + +NO_SANITIZE("unsigned-integer-overflow", static int quorem(Bigint *b, Bigint *S)); +static int +quorem(Bigint *b, Bigint *S) +{ + int n; + ULong *bx, *bxe, q, *sx, *sxe; +#ifdef ULLong + ULLong borrow, carry, y, ys; +#else + ULong borrow, carry, y, ys; +#ifdef Pack_32 + ULong si, z, zs; +#endif +#endif + + n = S->wds; +#ifdef DEBUG + /*debug*/ if (b->wds > n) + /*debug*/ Bug("oversize b in quorem"); +#endif + if (b->wds < n) + return 0; + sx = S->x; + sxe = sx + --n; + bx = b->x; + bxe = bx + n; + q = *bxe / (*sxe + 1); /* ensure q <= true quotient */ +#ifdef DEBUG + /*debug*/ if (q > 9) + /*debug*/ Bug("oversized quotient in quorem"); +#endif + if (q) { + borrow = 0; + carry = 0; + do { +#ifdef ULLong + ys = *sx++ * (ULLong)q + carry; + carry = ys >> 32; + y = *bx - (ys & FFFFFFFF) - borrow; + borrow = y >> 32 & (ULong)1; + *bx++ = (ULong)(y & FFFFFFFF); +#else +#ifdef Pack_32 + si = *sx++; + ys = (si & 0xffff) * q + carry; + zs = (si >> 16) * q + (ys >> 16); + carry = zs >> 16; + y = (*bx & 0xffff) - (ys & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + z = (*bx >> 16) - (zs & 0xffff) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(bx, z, y); +#else + ys = *sx++ * q + carry; + carry = ys >> 16; + y = *bx - (ys & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + *bx++ = y & 0xffff; +#endif +#endif + } while (sx <= sxe); + if (!*bxe) { + bx = b->x; + while (--bxe > bx && !*bxe) + --n; + b->wds = n; + } + } + if (cmp(b, S) >= 0) { + q++; + borrow = 0; + carry = 0; + bx = b->x; + sx = S->x; + do { +#ifdef ULLong + ys = *sx++ + carry; + carry = ys >> 32; + y = *bx - (ys & FFFFFFFF) - borrow; + borrow = y >> 32 & (ULong)1; + *bx++ = (ULong)(y & FFFFFFFF); +#else +#ifdef Pack_32 + si = *sx++; + ys = (si & 0xffff) + carry; + zs = (si >> 16) + (ys >> 16); + carry = zs >> 16; + y = (*bx & 0xffff) - (ys & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + z = (*bx >> 16) - (zs & 0xffff) - borrow; + borrow = (z & 0x10000) >> 16; + Storeinc(bx, z, y); +#else + ys = *sx++ + carry; + carry = ys >> 16; + y = *bx - (ys & 0xffff) - borrow; + borrow = (y & 0x10000) >> 16; + *bx++ = y & 0xffff; +#endif +#endif + } while (sx <= sxe); + bx = b->x; + bxe = bx + n; + if (!*bxe) { + while (--bxe > bx && !*bxe) + --n; + b->wds = n; + } + } + return q; +} + +#ifndef MULTIPLE_THREADS +static char *dtoa_result; +#endif + +#ifndef MULTIPLE_THREADS +static char * +rv_alloc(int i) +{ + return dtoa_result = MALLOC(i); +} +#else +#define rv_alloc(i) MALLOC(i) +#endif + +static char * +nrv_alloc(const char *s, char **rve, size_t n) +{ + char *rv, *t; + + t = rv = rv_alloc(n); + while ((*t = *s++) != 0) t++; + if (rve) + *rve = t; + return rv; +} + +#define rv_strdup(s, rve) nrv_alloc((s), (rve), strlen(s)+1) + +#ifndef MULTIPLE_THREADS +/* freedtoa(s) must be used to free values s returned by dtoa + * when MULTIPLE_THREADS is #defined. It should be used in all cases, + * but for consistency with earlier versions of dtoa, it is optional + * when MULTIPLE_THREADS is not defined. + */ + +static void +freedtoa(char *s) +{ + FREE(s); +} +#endif + +static const char INFSTR[] = "Infinity"; +static const char NANSTR[] = "NaN"; +static const char ZEROSTR[] = "0"; + +/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string. + * + * Inspired by "How to Print Floating-Point Numbers Accurately" by + * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126]. + * + * Modifications: + * 1. Rather than iterating, we use a simple numeric overestimate + * to determine k = floor(log10(d)). We scale relevant + * quantities using O(log2(k)) rather than O(k) multiplications. + * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't + * try to generate digits strictly left to right. Instead, we + * compute with fewer bits and propagate the carry if necessary + * when rounding the final digit up. This is often faster. + * 3. Under the assumption that input will be rounded nearest, + * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22. + * That is, we allow equality in stopping tests when the + * round-nearest rule will give the same floating-point value + * as would satisfaction of the stopping test with strict + * inequality. + * 4. We remove common factors of powers of 2 from relevant + * quantities. + * 5. When converting floating-point integers less than 1e16, + * we use floating-point arithmetic rather than resorting + * to multiple-precision integers. + * 6. When asked to produce fewer than 15 digits, we first try + * to get by with floating-point arithmetic; we resort to + * multiple-precision integer arithmetic only if we cannot + * guarantee that the floating-point calculation has given + * the correctly rounded result. For k requested digits and + * "uniformly" distributed input, the probability is + * something like 10^(k-15) that we must resort to the Long + * calculation. + */ + +char * +dtoa(double d_, int mode, int ndigits, int *decpt, int *sign, char **rve) +{ + /* Arguments ndigits, decpt, sign are similar to those + of ecvt and fcvt; trailing zeros are suppressed from + the returned string. If not null, *rve is set to point + to the end of the return value. If d is +-Infinity or NaN, + then *decpt is set to 9999. + + mode: + 0 ==> shortest string that yields d when read in + and rounded to nearest. + 1 ==> like 0, but with Steele & White stopping rule; + e.g. with IEEE P754 arithmetic , mode 0 gives + 1e23 whereas mode 1 gives 9.999999999999999e22. + 2 ==> max(1,ndigits) significant digits. This gives a + return value similar to that of ecvt, except + that trailing zeros are suppressed. + 3 ==> through ndigits past the decimal point. This + gives a return value similar to that from fcvt, + except that trailing zeros are suppressed, and + ndigits can be negative. + 4,5 ==> similar to 2 and 3, respectively, but (in + round-nearest mode) with the tests of mode 0 to + possibly return a shorter string that rounds to d. + With IEEE arithmetic and compilation with + -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same + as modes 2 and 3 when FLT_ROUNDS != 1. + 6-9 ==> Debugging modes similar to mode - 4: don't try + fast floating-point estimate (if applicable). + + Values of mode other than 0-9 are treated as mode 0. + + Sufficient space is allocated to the return value + to hold the suppressed trailing zeros. + */ + + int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1, + j, j1, k, k0, k_check, leftright, m2, m5, s2, s5, + spec_case, try_quick, half = 0; + Long L; +#ifndef Sudden_Underflow + int denorm; + ULong x; +#endif + Bigint *b, *b1, *delta, *mlo = 0, *mhi = 0, *S; + double ds; + double_u d, d2, eps; + char *s, *s0; +#ifdef Honor_FLT_ROUNDS + int rounding; +#endif +#ifdef SET_INEXACT + int inexact, oldinexact; +#endif + + dval(d) = d_; + +#ifndef MULTIPLE_THREADS + if (dtoa_result) { + freedtoa(dtoa_result); + dtoa_result = 0; + } +#endif + + if (word0(d) & Sign_bit) { + /* set sign for everything, including 0's and NaNs */ + *sign = 1; + word0(d) &= ~Sign_bit; /* clear sign bit */ + } + else + *sign = 0; + +#if defined(IEEE_Arith) + defined(VAX) +#ifdef IEEE_Arith + if ((word0(d) & Exp_mask) == Exp_mask) +#else + if (word0(d) == 0x8000) +#endif + { + /* Infinity or NaN */ + *decpt = 9999; +#ifdef IEEE_Arith + if (!word1(d) && !(word0(d) & 0xfffff)) + return rv_strdup(INFSTR, rve); +#endif + return rv_strdup(NANSTR, rve); + } +#endif +#ifdef IBM + dval(d) += 0; /* normalize */ +#endif + if (!dval(d)) { + *decpt = 1; + return rv_strdup(ZEROSTR, rve); + } + +#ifdef SET_INEXACT + try_quick = oldinexact = get_inexact(); + inexact = 1; +#endif +#ifdef Honor_FLT_ROUNDS + if ((rounding = Flt_Rounds) >= 2) { + if (*sign) + rounding = rounding == 2 ? 0 : 2; + else + if (rounding != 2) + rounding = 0; + } +#endif + + b = d2b(dval(d), &be, &bbits); +#ifdef Sudden_Underflow + i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1)); +#else + if ((i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1))) != 0) { +#endif + dval(d2) = dval(d); + word0(d2) &= Frac_mask1; + word0(d2) |= Exp_11; +#ifdef IBM + if (j = 11 - hi0bits(word0(d2) & Frac_mask)) + dval(d2) /= 1 << j; +#endif + + /* log(x) ~=~ log(1.5) + (x-1.5)/1.5 + * log10(x) = log(x) / log(10) + * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10)) + * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2) + * + * This suggests computing an approximation k to log10(d) by + * + * k = (i - Bias)*0.301029995663981 + * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 ); + * + * We want k to be too large rather than too small. + * The error in the first-order Taylor series approximation + * is in our favor, so we just round up the constant enough + * to compensate for any error in the multiplication of + * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077, + * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14, + * adding 1e-13 to the constant term more than suffices. + * Hence we adjust the constant term to 0.1760912590558. + * (We could get a more accurate k by invoking log10, + * but this is probably not worthwhile.) + */ + + i -= Bias; +#ifdef IBM + i <<= 2; + i += j; +#endif +#ifndef Sudden_Underflow + denorm = 0; + } + else { + /* d is denormalized */ + + i = bbits + be + (Bias + (P-1) - 1); + x = i > 32 ? word0(d) << (64 - i) | word1(d) >> (i - 32) + : word1(d) << (32 - i); + dval(d2) = x; + word0(d2) -= 31*Exp_msk1; /* adjust exponent */ + i -= (Bias + (P-1) - 1) + 1; + denorm = 1; + } +#endif + ds = (dval(d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981; + k = (int)ds; + if (ds < 0. && ds != k) + k--; /* want k = floor(ds) */ + k_check = 1; + if (k >= 0 && k <= Ten_pmax) { + if (dval(d) < tens[k]) + k--; + k_check = 0; + } + j = bbits - i - 1; + if (j >= 0) { + b2 = 0; + s2 = j; + } + else { + b2 = -j; + s2 = 0; + } + if (k >= 0) { + b5 = 0; + s5 = k; + s2 += k; + } + else { + b2 -= k; + b5 = -k; + s5 = 0; + } + if (mode < 0 || mode > 9) + mode = 0; + +#ifndef SET_INEXACT +#ifdef Check_FLT_ROUNDS + try_quick = Rounding == 1; +#else + try_quick = 1; +#endif +#endif /*SET_INEXACT*/ + + if (mode > 5) { + mode -= 4; + try_quick = 0; + } + leftright = 1; + ilim = ilim1 = -1; + switch (mode) { + case 0: + case 1: + i = 18; + ndigits = 0; + break; + case 2: + leftright = 0; + /* no break */ + case 4: + if (ndigits <= 0) + ndigits = 1; + ilim = ilim1 = i = ndigits; + break; + case 3: + leftright = 0; + /* no break */ + case 5: + i = ndigits + k + 1; + ilim = i; + ilim1 = i - 1; + if (i <= 0) + i = 1; + } + s = s0 = rv_alloc(i+1); + +#ifdef Honor_FLT_ROUNDS + if (mode > 1 && rounding != 1) + leftright = 0; +#endif + + if (ilim >= 0 && ilim <= Quick_max && try_quick) { + + /* Try to get by with floating-point arithmetic. */ + + i = 0; + dval(d2) = dval(d); + k0 = k; + ilim0 = ilim; + ieps = 2; /* conservative */ + if (k > 0) { + ds = tens[k&0xf]; + j = k >> 4; + if (j & Bletch) { + /* prevent overflows */ + j &= Bletch - 1; + dval(d) /= bigtens[n_bigtens-1]; + ieps++; + } + for (; j; j >>= 1, i++) + if (j & 1) { + ieps++; + ds *= bigtens[i]; + } + dval(d) /= ds; + } + else if ((j1 = -k) != 0) { + dval(d) *= tens[j1 & 0xf]; + for (j = j1 >> 4; j; j >>= 1, i++) + if (j & 1) { + ieps++; + dval(d) *= bigtens[i]; + } + } + if (k_check && dval(d) < 1. && ilim > 0) { + if (ilim1 <= 0) + goto fast_failed; + ilim = ilim1; + k--; + dval(d) *= 10.; + ieps++; + } + dval(eps) = ieps*dval(d) + 7.; + word0(eps) -= (P-1)*Exp_msk1; + if (ilim == 0) { + S = mhi = 0; + dval(d) -= 5.; + if (dval(d) > dval(eps)) + goto one_digit; + if (dval(d) < -dval(eps)) + goto no_digits; + goto fast_failed; + } +#ifndef No_leftright + if (leftright) { + /* Use Steele & White method of only + * generating digits needed. + */ + dval(eps) = 0.5/tens[ilim-1] - dval(eps); + for (i = 0;;) { + L = (int)dval(d); + dval(d) -= L; + *s++ = '0' + (int)L; + if (dval(d) < dval(eps)) + goto ret1; + if (1. - dval(d) < dval(eps)) + goto bump_up; + if (++i >= ilim) + break; + dval(eps) *= 10.; + dval(d) *= 10.; + } + } + else { +#endif + /* Generate ilim digits, then fix them up. */ + dval(eps) *= tens[ilim-1]; + for (i = 1;; i++, dval(d) *= 10.) { + L = (Long)(dval(d)); + if (!(dval(d) -= L)) + ilim = i; + *s++ = '0' + (int)L; + if (i == ilim) { + if (dval(d) > 0.5 + dval(eps)) + goto bump_up; + else if (dval(d) < 0.5 - dval(eps)) { + while (*--s == '0') ; + s++; + goto ret1; + } + half = 1; + if ((*(s-1) - '0') & 1) { + goto bump_up; + } + break; + } + } +#ifndef No_leftright + } +#endif +fast_failed: + s = s0; + dval(d) = dval(d2); + k = k0; + ilim = ilim0; + } + + /* Do we have a "small" integer? */ + + if (be >= 0 && k <= Int_max) { + /* Yes. */ + ds = tens[k]; + if (ndigits < 0 && ilim <= 0) { + S = mhi = 0; + if (ilim < 0 || dval(d) <= 5*ds) + goto no_digits; + goto one_digit; + } + for (i = 1;; i++, dval(d) *= 10.) { + L = (Long)(dval(d) / ds); + dval(d) -= L*ds; +#ifdef Check_FLT_ROUNDS + /* If FLT_ROUNDS == 2, L will usually be high by 1 */ + if (dval(d) < 0) { + L--; + dval(d) += ds; + } +#endif + *s++ = '0' + (int)L; + if (!dval(d)) { +#ifdef SET_INEXACT + inexact = 0; +#endif + break; + } + if (i == ilim) { +#ifdef Honor_FLT_ROUNDS + if (mode > 1) + switch (rounding) { + case 0: goto ret1; + case 2: goto bump_up; + } +#endif + dval(d) += dval(d); + if (dval(d) > ds || (dval(d) == ds && (L & 1))) { +bump_up: + while (*--s == '9') + if (s == s0) { + k++; + *s = '0'; + break; + } + ++*s++; + } + break; + } + } + goto ret1; + } + + m2 = b2; + m5 = b5; + if (leftright) { + i = +#ifndef Sudden_Underflow + denorm ? be + (Bias + (P-1) - 1 + 1) : +#endif +#ifdef IBM + 1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3); +#else + 1 + P - bbits; +#endif + b2 += i; + s2 += i; + mhi = i2b(1); + } + if (m2 > 0 && s2 > 0) { + i = m2 < s2 ? m2 : s2; + b2 -= i; + m2 -= i; + s2 -= i; + } + if (b5 > 0) { + if (leftright) { + if (m5 > 0) { + mhi = pow5mult(mhi, m5); + b1 = mult(mhi, b); + Bfree(b); + b = b1; + } + if ((j = b5 - m5) != 0) + b = pow5mult(b, j); + } + else + b = pow5mult(b, b5); + } + S = i2b(1); + if (s5 > 0) + S = pow5mult(S, s5); + + /* Check for special case that d is a normalized power of 2. */ + + spec_case = 0; + if ((mode < 2 || leftright) +#ifdef Honor_FLT_ROUNDS + && rounding == 1 +#endif + ) { + if (!word1(d) && !(word0(d) & Bndry_mask) +#ifndef Sudden_Underflow + && word0(d) & (Exp_mask & ~Exp_msk1) +#endif + ) { + /* The special case */ + b2 += Log2P; + s2 += Log2P; + spec_case = 1; + } + } + + /* Arrange for convenient computation of quotients: + * shift left if necessary so divisor has 4 leading 0 bits. + * + * Perhaps we should just compute leading 28 bits of S once + * and for all and pass them and a shift to quorem, so it + * can do shifts and ors to compute the numerator for q. + */ +#ifdef Pack_32 + if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f) != 0) + i = 32 - i; +#else + if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf) != 0) + i = 16 - i; +#endif + if (i > 4) { + i -= 4; + b2 += i; + m2 += i; + s2 += i; + } + else if (i < 4) { + i += 28; + b2 += i; + m2 += i; + s2 += i; + } + if (b2 > 0) + b = lshift(b, b2); + if (s2 > 0) + S = lshift(S, s2); + if (k_check) { + if (cmp(b,S) < 0) { + k--; + b = multadd(b, 10, 0); /* we botched the k estimate */ + if (leftright) + mhi = multadd(mhi, 10, 0); + ilim = ilim1; + } + } + if (ilim <= 0 && (mode == 3 || mode == 5)) { + if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) { + /* no digits, fcvt style */ +no_digits: + k = -1 - ndigits; + goto ret; + } +one_digit: + *s++ = '1'; + k++; + goto ret; + } + if (leftright) { + if (m2 > 0) + mhi = lshift(mhi, m2); + + /* Compute mlo -- check for special case + * that d is a normalized power of 2. + */ + + mlo = mhi; + if (spec_case) { + mhi = Balloc(mhi->k); + Bcopy(mhi, mlo); + mhi = lshift(mhi, Log2P); + } + + for (i = 1;;i++) { + dig = quorem(b,S) + '0'; + /* Do we yet have the shortest decimal string + * that will round to d? + */ + j = cmp(b, mlo); + delta = diff(S, mhi); + j1 = delta->sign ? 1 : cmp(b, delta); + Bfree(delta); +#ifndef ROUND_BIASED + if (j1 == 0 && mode != 1 && !(word1(d) & 1) +#ifdef Honor_FLT_ROUNDS + && rounding >= 1 +#endif + ) { + if (dig == '9') + goto round_9_up; + if (j > 0) + dig++; +#ifdef SET_INEXACT + else if (!b->x[0] && b->wds <= 1) + inexact = 0; +#endif + *s++ = dig; + goto ret; + } +#endif + if (j < 0 || (j == 0 && mode != 1 +#ifndef ROUND_BIASED + && !(word1(d) & 1) +#endif + )) { + if (!b->x[0] && b->wds <= 1) { +#ifdef SET_INEXACT + inexact = 0; +#endif + goto accept_dig; + } +#ifdef Honor_FLT_ROUNDS + if (mode > 1) + switch (rounding) { + case 0: goto accept_dig; + case 2: goto keep_dig; + } +#endif /*Honor_FLT_ROUNDS*/ + if (j1 > 0) { + b = lshift(b, 1); + j1 = cmp(b, S); + if ((j1 > 0 || (j1 == 0 && (dig & 1))) && dig++ == '9') + goto round_9_up; + } +accept_dig: + *s++ = dig; + goto ret; + } + if (j1 > 0) { +#ifdef Honor_FLT_ROUNDS + if (!rounding) + goto accept_dig; +#endif + if (dig == '9') { /* possible if i == 1 */ +round_9_up: + *s++ = '9'; + goto roundoff; + } + *s++ = dig + 1; + goto ret; + } +#ifdef Honor_FLT_ROUNDS +keep_dig: +#endif + *s++ = dig; + if (i == ilim) + break; + b = multadd(b, 10, 0); + if (mlo == mhi) + mlo = mhi = multadd(mhi, 10, 0); + else { + mlo = multadd(mlo, 10, 0); + mhi = multadd(mhi, 10, 0); + } + } + } + else + for (i = 1;; i++) { + *s++ = dig = quorem(b,S) + '0'; + if (!b->x[0] && b->wds <= 1) { +#ifdef SET_INEXACT + inexact = 0; +#endif + goto ret; + } + if (i >= ilim) + break; + b = multadd(b, 10, 0); + } + + /* Round off last digit */ + +#ifdef Honor_FLT_ROUNDS + switch (rounding) { + case 0: goto trimzeros; + case 2: goto roundoff; + } +#endif + b = lshift(b, 1); + j = cmp(b, S); + if (j > 0 || (j == 0 && (dig & 1))) { + roundoff: + while (*--s == '9') + if (s == s0) { + k++; + *s++ = '1'; + goto ret; + } + if (!half || (*s - '0') & 1) + ++*s; + } + else { + while (*--s == '0') ; + } + s++; +ret: + Bfree(S); + if (mhi) { + if (mlo && mlo != mhi) + Bfree(mlo); + Bfree(mhi); + } +ret1: +#ifdef SET_INEXACT + if (inexact) { + if (!oldinexact) { + word0(d) = Exp_1 + (70 << Exp_shift); + word1(d) = 0; + dval(d) += 1.; + } + } + else if (!oldinexact) + clear_inexact(); +#endif + Bfree(b); + *s = 0; + *decpt = k + 1; + if (rve) + *rve = s; + return s0; +} + +/*- + * Copyright (c) 2004-2008 David Schultz <das@FreeBSD.ORG> + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#define DBL_MANH_SIZE 20 +#define DBL_MANL_SIZE 32 +#define DBL_ADJ (DBL_MAX_EXP - 2) +#define SIGFIGS ((DBL_MANT_DIG + 3) / 4 + 1) +#define dexp_get(u) ((int)(word0(u) >> Exp_shift) & ~Exp_msk1) +#define dexp_set(u,v) (word0(u) = (((int)(word0(u)) & ~Exp_mask) | ((v) << Exp_shift))) +#define dmanh_get(u) ((uint32_t)(word0(u) & Frac_mask)) +#define dmanl_get(u) ((uint32_t)word1(u)) + + +/* + * This procedure converts a double-precision number in IEEE format + * into a string of hexadecimal digits and an exponent of 2. Its + * behavior is bug-for-bug compatible with dtoa() in mode 2, with the + * following exceptions: + * + * - An ndigits < 0 causes it to use as many digits as necessary to + * represent the number exactly. + * - The additional xdigs argument should point to either the string + * "0123456789ABCDEF" or the string "0123456789abcdef", depending on + * which case is desired. + * - This routine does not repeat dtoa's mistake of setting decpt + * to 9999 in the case of an infinity or NaN. INT_MAX is used + * for this purpose instead. + * + * Note that the C99 standard does not specify what the leading digit + * should be for non-zero numbers. For instance, 0x1.3p3 is the same + * as 0x2.6p2 is the same as 0x4.cp3. This implementation always makes + * the leading digit a 1. This ensures that the exponent printed is the + * actual base-2 exponent, i.e., ilogb(d). + * + * Inputs: d, xdigs, ndigits + * Outputs: decpt, sign, rve + */ +char * +hdtoa(double d, const char *xdigs, int ndigits, int *decpt, int *sign, char **rve) +{ + U u; + char *s, *s0; + int bufsize; + uint32_t manh, manl; + + u.d = d; + if (word0(u) & Sign_bit) { + /* set sign for everything, including 0's and NaNs */ + *sign = 1; + word0(u) &= ~Sign_bit; /* clear sign bit */ + } + else + *sign = 0; + + if (isinf(d)) { /* FP_INFINITE */ + *decpt = INT_MAX; + return rv_strdup(INFSTR, rve); + } + else if (isnan(d)) { /* FP_NAN */ + *decpt = INT_MAX; + return rv_strdup(NANSTR, rve); + } + else if (d == 0.0) { /* FP_ZERO */ + *decpt = 1; + return rv_strdup(ZEROSTR, rve); + } + else if (dexp_get(u)) { /* FP_NORMAL */ + *decpt = dexp_get(u) - DBL_ADJ; + } + else { /* FP_SUBNORMAL */ + u.d *= 5.363123171977039e+154 /* 0x1p514 */; + *decpt = dexp_get(u) - (514 + DBL_ADJ); + } + + if (ndigits == 0) /* dtoa() compatibility */ + ndigits = 1; + + /* + * If ndigits < 0, we are expected to auto-size, so we allocate + * enough space for all the digits. + */ + bufsize = (ndigits > 0) ? ndigits : SIGFIGS; + s0 = rv_alloc(bufsize+1); + + /* Round to the desired number of digits. */ + if (SIGFIGS > ndigits && ndigits > 0) { + float redux = 1.0f; + int offset = 4 * ndigits + DBL_MAX_EXP - 4 - DBL_MANT_DIG; + dexp_set(u, offset); + u.d += redux; + u.d -= redux; + *decpt += dexp_get(u) - offset; + } + + manh = dmanh_get(u); + manl = dmanl_get(u); + *s0 = '1'; + for (s = s0 + 1; s < s0 + bufsize; s++) { + *s = xdigs[(manh >> (DBL_MANH_SIZE - 4)) & 0xf]; + manh = (manh << 4) | (manl >> (DBL_MANL_SIZE - 4)); + manl <<= 4; + } + + /* If ndigits < 0, we are expected to auto-size the precision. */ + if (ndigits < 0) { + for (ndigits = SIGFIGS; s0[ndigits - 1] == '0'; ndigits--) + ; + } + + s = s0 + ndigits; + *s = '\0'; + if (rve != NULL) + *rve = s; + return (s0); +} + +#ifdef __cplusplus +#if 0 +{ /* satisfy cc-mode */ +#endif +} +#endif diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/static_assert.h b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/static_assert.h new file mode 100644 index 0000000..9295729 --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-3.2.2/ext/bigdecimal/static_assert.h @@ -0,0 +1,54 @@ +#ifndef BIGDECIMAL_STATIC_ASSERT_H +#define BIGDECIMAL_STATIC_ASSERT_H + +#include "feature.h" + +#ifdef HAVE_RUBY_INTERNAL_STATIC_ASSERT_H +# include <ruby/internal/static_assert.h> +#endif + +#ifdef RBIMPL_STATIC_ASSERT +# define STATIC_ASSERT RBIMPL_STATIC_ASSERT +#endif + +#ifndef STATIC_ASSERT +# /* The following section is copied from CRuby's static_assert.h */ + +# if defined(__cplusplus) && defined(__cpp_static_assert) +# /* https://isocpp.org/std/standing-documents/sd-6-sg10-feature-test-recommendations */ +# define BIGDECIMAL_STATIC_ASSERT0 static_assert + +# elif defined(__cplusplus) && defined(_MSC_VER) && _MSC_VER >= 1600 +# define BIGDECIMAL_STATIC_ASSERT0 static_assert + +# elif defined(__INTEL_CXX11_MODE__) +# define BIGDECIMAL_STATIC_ASSERT0 static_assert + +# elif defined(__cplusplus) && __cplusplus >= 201103L +# define BIGDECIMAL_STATIC_ASSERT0 static_assert + +# elif defined(__cplusplus) && __has_extension(cxx_static_assert) +# define BIGDECIMAL_STATIC_ASSERT0 __extension__ static_assert + +# elif defined(__STDC_VERSION__) && __has_extension(c_static_assert) +# define BIGDECIMAL_STATIC_ASSERT0 __extension__ _Static_assert + +# elif defined(__STDC_VERSION__) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) +# define BIGDECIMAL_STATIC_ASSERT0 __extension__ _Static_assert +#endif + +# if defined(__DOXYGEN__) +# define STATIC_ASSERT static_assert + +# elif defined(BIGDECIMAL_STATIC_ASSERT0) +# define STATIC_ASSERT(name, expr) \ + BIGDECIMAL_STATIC_ASSERT0(expr, #name ": " #expr) + +# else +# define STATIC_ASSERT(name, expr) \ + typedef int static_assert_ ## name ## _check[1 - 2 * !(expr)] +# endif +#endif /* STATIC_ASSERT */ + + +#endif /* BIGDECIMAL_STATIC_ASSERT_H */ |