diff options
Diffstat (limited to 'vendor/bundle/ruby/3.4.0/gems/bigdecimal-4.1.2/ext/bigdecimal/bigdecimal.c')
| -rw-r--r-- | vendor/bundle/ruby/3.4.0/gems/bigdecimal-4.1.2/ext/bigdecimal/bigdecimal.c | 6207 |
1 files changed, 6207 insertions, 0 deletions
diff --git a/vendor/bundle/ruby/3.4.0/gems/bigdecimal-4.1.2/ext/bigdecimal/bigdecimal.c b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-4.1.2/ext/bigdecimal/bigdecimal.c new file mode 100644 index 0000000..182d66f --- /dev/null +++ b/vendor/bundle/ruby/3.4.0/gems/bigdecimal-4.1.2/ext/bigdecimal/bigdecimal.c @@ -0,0 +1,6207 @@ +/* + * + * 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 "ntt.h" +#include "div.h" +#include "static_assert.h" + +#define BIGDECIMAL_VERSION "4.1.2" + +/* Make sure VPMULT_BATCH_SIZE*BASE*BASE does not overflow DECDIG_DBL */ +#define VPMULT_BATCH_SIZE 16 +#define NTT_MULTIPLICATION_THRESHOLD 450 +#define NEWTON_RAPHSON_DIVISION_THRESHOLD 100 +#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) +#define ADD_OVERFLOW_SIGNED_VALUE_P(a, b) ADD_OVERFLOW_SIGNED_INTEGER_P(a, b, SIGNED_VALUE_MIN, SIGNED_VALUE_MAX) + +/* max_value = 0.9999_9999_9999E[exponent], exponent <= SIGNED_VALUE_MAX */ +#define VP_EXPONENT_MAX (SIGNED_VALUE_MAX / BASE_FIG) +/* min_value = 0.0001_0000_0000E[exponent], exponent-(BASE_FIG-1) >= SIGNED_VALUE_MIN */ +#define VP_EXPONENT_MIN ((SIGNED_VALUE_MIN + BASE_FIG - 1) / BASE_FIG) +#define EXPONENT_MAX (VP_EXPONENT_MAX * BASE_FIG) +#define EXPONENT_MIN (VP_EXPONENT_MIN * BASE_FIG - (BASE_FIG - 1)) + +VALUE rb_cBigDecimal; + +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]; + +static inline BDVALUE +bdvalue_nonnullable(NULLABLE_BDVALUE v) +{ + assert(v.real_or_null != NULL); + return (BDVALUE) { v.bigdecimal_or_nil, v.real_or_null }; +} + +static inline NULLABLE_BDVALUE +bdvalue_nullable(BDVALUE v) +{ + return (NULLABLE_BDVALUE) { v.bigdecimal, v.real }; +} + +#define BASE_FIG BIGDECIMAL_COMPONENT_FIGURES +#define BASE BIGDECIMAL_BASE + +#define HALF_BASE (BASE/2) +#define BASE1 (BASE/10) + +#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 */ + +/* VpMult VpDivd helpers */ +#define VPMULT_RESULT_PREC(a, b) (a->Prec + b->Prec) +/* To calculate VpDivd with n-digits precision, quotient needs n+2*BASE_FIG-1 digits space */ +/* In the worst precision case 0001_1111_1111 / 9999 = 0000_0001_1112, there are 2*BASE_FIG-1 leading zeros */ +#define VPDIVD_QUO_DIGITS(required_digits) ((required_digits) + 2 * BASE_FIG - 1) +/* Required r.MaxPrec for calculating VpDivd(c, r, a, b) */ +#define VPDIVD_REM_PREC(a, b, c) Max(a->Prec, b->Prec + c->MaxPrec - 1) + +static NULLABLE_BDVALUE +CreateFromString(const char *str, VALUE klass, bool strict_p, bool raise_exception); + +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); +} + +/* + * ================== 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 CheckGetValue(BDVALUE v); +static void VpInternalRound(Real *c, size_t ixDigit, DECDIG vPrev, DECDIG v); +static int VpLimitRound(Real *c, size_t ixDigit); +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 VALUE BigDecimal_addsub_with_coerce(VALUE self, VALUE r, size_t prec, int operation); +static VALUE BigDecimal_mult_with_coerce(VALUE self, VALUE r, size_t prec); + +#ifndef HAVE_RB_EXT_RACTOR_SAFE +# undef RUBY_TYPED_FROZEN_SHAREABLE +# define RUBY_TYPED_FROZEN_SHAREABLE 0 +#endif + +#ifdef RUBY_TYPED_EMBEDDABLE +# define HAVE_RUBY_TYPED_EMBEDDABLE 1 +#else +# ifdef HAVE_CONST_RUBY_TYPED_EMBEDDABLE +# define RUBY_TYPED_EMBEDDABLE RUBY_TYPED_EMBEDDABLE +# define HAVE_RUBY_TYPED_EMBEDDABLE 1 +# else +# define RUBY_TYPED_EMBEDDABLE 0 +# endif +#endif + +static size_t +BigDecimal_memsize(const void *ptr) +{ +#ifdef HAVE_RUBY_TYPED_EMBEDDABLE + return 0; // Entirely embedded +#else + const Real *pv = ptr; + return (sizeof(*pv) + pv->MaxPrec * sizeof(DECDIG)); +#endif +} + +static const rb_data_type_t BigDecimal_data_type = { + .wrap_struct_name = "BigDecimal", + .function = { + .dmark = 0, + .dfree = RUBY_DEFAULT_FREE, + .dsize = BigDecimal_memsize, + }, + .flags = RUBY_TYPED_FREE_IMMEDIATELY | RUBY_TYPED_FROZEN_SHAREABLE | RUBY_TYPED_WB_PROTECTED | RUBY_TYPED_EMBEDDABLE, +}; + +static VALUE +BigDecimal_allocate(size_t const internal_digits) +{ + const size_t size = rbd_struct_size(internal_digits); + VALUE bd = rb_data_typed_object_zalloc(rb_cBigDecimal, size, &BigDecimal_data_type); + Real *vp; + TypedData_Get_Struct(bd, Real, &BigDecimal_data_type, vp); + vp->MaxPrec = internal_digits; + RB_OBJ_FREEZE(bd); + return bd; +} + +static VALUE +BigDecimal_allocate_decimal_digits(size_t const decimal_digits) +{ + return BigDecimal_allocate(roomof(decimal_digits, BASE_FIG)); +} + +static Real * +VpPtr(VALUE obj) +{ + Real *vp; + TypedData_Get_Struct(obj, Real, &BigDecimal_data_type, vp); + return vp; +} + +MAYBE_UNUSED(static inline BDVALUE rbd_allocate_struct_zero_wrap(int sign, size_t const digits)); +#define NewZeroWrap rbd_allocate_struct_zero_wrap +static BDVALUE +rbd_allocate_struct_zero_wrap(int sign, size_t const digits) +{ + VALUE obj = BigDecimal_allocate_decimal_digits(digits); + Real *real = VpPtr(obj); + VpSetZero(real, sign); + return (BDVALUE) { obj, real }; +} + +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); +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, int raise_exception); +static VALUE rb_convert_to_BigDecimal(VALUE val, size_t digs, int raise_exception); + +static NULLABLE_BDVALUE +GetBDValueWithPrecInternal(VALUE v, size_t prec, int must) +{ + switch(TYPE(v)) { + case T_FLOAT: + v = rb_float_convert_to_BigDecimal(v, 0, true); + break; + + case T_RATIONAL: + v = rb_rational_convert_to_BigDecimal(v, prec, true); + break; + + case T_DATA: + if (!is_kind_of_BigDecimal(v)) { + goto SomeOneMayDoIt; + } + break; + + case T_FIXNUM: + case T_BIGNUM: { + v = rb_inum_convert_to_BigDecimal(v); + break; + } + + default: + goto SomeOneMayDoIt; + } + + Real *vp = VpPtr(v); + return (NULLABLE_BDVALUE) { v, vp }; + +SomeOneMayDoIt: + if (must) { + cannot_be_coerced_into_BigDecimal(rb_eTypeError, v); + } + return (NULLABLE_BDVALUE) { Qnil, NULL }; /* NULL means to coerce */ +} + +static inline NULLABLE_BDVALUE +GetBDValueWithPrec(VALUE v, size_t prec) +{ + return GetBDValueWithPrecInternal(v, prec, 0); +} + + +static inline BDVALUE +GetBDValueWithPrecMust(VALUE v, size_t prec) +{ + return bdvalue_nonnullable(GetBDValueWithPrecInternal(v, prec, 1)); +} + +// self must be a receiver of BigDecimal instance method or a gc guarded BigDecimal object. +static inline Real* +GetSelfVpValue(VALUE self) +{ + return GetBDValueWithPrecMust(self, 0).real; +} + +static inline BDVALUE +GetBDValueMust(VALUE v) +{ + return GetBDValueWithPrecMust(v, 0); +} + +/* 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(BIGDECIMAL_DOUBLE_FIGURES); +} + +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) +{ + BDVALUE v = GetBDValueMust(self); + VpCountPrecisionAndScale(v.real, out_precision, out_scale); + RB_GC_GUARD(v.bigdecimal); +} + +/* + * 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").scale # => 0 + * BigDecimal("1e-20").scale # => 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) +{ + BDVALUE v = GetBDValueMust(self); + if (VpIsZero(v.real) || !VpIsDef(v.real)) { + return INT2FIX(0); + } + + ssize_t n = v.real->Prec; /* The length of frac without trailing zeros. */ + for (n = v.real->Prec; n > 0 && v.real->frac[n-1] == 0; --n); + if (n == 0) return INT2FIX(0); + + DECDIG x; + int nlz = BASE_FIG; + for (x = v.real->frac[0]; x > 0; x /= 10) --nlz; + + int ntz = 0; + for (x = v.real->frac[n-1]; x > 0 && x % 10 == 0; x /= 10) ++ntz; + + RB_GC_GUARD(v.bigdecimal); + 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) +{ + BDVALUE v = GetBDValueMust(self); + st_index_t hash = (st_index_t)v.real->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(v.real->frac, sizeof(DECDIG)*v.real->Prec); + hash += v.real->exponent; + } + RB_GC_GUARD(v.bigdecimal); + 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) +{ + BDVALUE v; + char *psz; + VALUE dummy; + volatile VALUE dump; + size_t len; + + rb_scan_args(argc, argv, "01", &dummy); + v = GetBDValueMust(self); + dump = rb_str_new(0, VpNumOfChars(v.real, "E")+50); + psz = RSTRING_PTR(dump); + snprintf(psz, RSTRING_LEN(dump), "%"PRIuSIZE":", v.real->Prec*VpBaseFig()); + len = strlen(psz); + VpToString(v.real, psz+len, RSTRING_LEN(dump)-len, 0, 0); + rb_str_resize(dump, strlen(psz)); + + RB_GC_GUARD(v.bigdecimal); + return dump; +} + +/* + * Internal method used to provide marshalling support. See the Marshal module. + */ +static VALUE +BigDecimal_load(VALUE self, VALUE str) +{ + BDVALUE v; + unsigned char *pch; + unsigned char ch; + + pch = (unsigned char *)StringValueCStr(str); + /* First skip max prec. Don't trust the value. */ + while((*pch) != (unsigned char)'\0' && (ch = *pch++) != (unsigned char)':') { + if(!ISDIGIT(ch)) { + rb_raise(rb_eTypeError, "load failed: invalid character in the marshaled string"); + } + } + v = bdvalue_nonnullable(CreateFromString((char *)pch, self, true, true)); + return CheckGetValue(v); +} + +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) +{ + if (VpIsZero(a) || VpIsZero(b)) return Max(a->Prec, b->Prec); + ssize_t min_a = a->exponent - a->Prec; + ssize_t min_b = b->exponent - b->Prec; + return Max(a->exponent, b->exponent) - Min(min_a, min_b); +} + +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 NULLABLE_BDVALUE +CreateFromString(const char *str, VALUE klass, bool strict_p, bool raise_exception) +{ + return VpAlloc(str, strict_p, raise_exception); +} + +void +VpMemCopy(Real *pv, Real const* const x) +{ + 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); +} + +/* Returns True if the value is Not a Number. */ +static VALUE +BigDecimal_IsNaN(VALUE self) +{ + Real *p = GetSelfVpValue(self); + 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 = GetSelfVpValue(self); + 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 = GetSelfVpValue(self); + if (VpIsNaN(p)) return Qfalse; + if (VpIsInf(p)) return Qfalse; + return Qtrue; +} + +static void +BigDecimal_check_num(Real *p) +{ + VpCheckException(p, true); +} + +/* Returns the value as an Integer. + * + * If the BigDecimal is infinity or NaN, raises FloatDomainError. + */ +static VALUE +BigDecimal_to_i(VALUE self) +{ + BDVALUE v; + VALUE ret; + + v = GetBDValueMust(self); + BigDecimal_check_num(v.real); + + if (v.real->exponent <= 0) return INT2FIX(0); + if (v.real->exponent == 1) { + ret = LONG2NUM((long)(VpGetSign(v.real) * (DECDIG_DBL_SIGNED)v.real->frac[0])); + } + else { + VALUE fix = (ssize_t)v.real->Prec > v.real->exponent ? BigDecimal_fix(self) : self; + VALUE digits = RARRAY_AREF(BigDecimal_split(fix), 1); + ssize_t dpower = VpExponent10(v.real) - (ssize_t)RSTRING_LEN(digits); + ret = rb_funcall(digits, rb_intern("to_i"), 0); + + if (BIGDECIMAL_NEGATIVE_P(v.real)) { + ret = rb_funcall(ret, '*', 1, INT2FIX(-1)); + } + if (dpower) { + VALUE pow10 = rb_funcall(INT2FIX(10), rb_intern("**"), 1, SSIZET2NUM(dpower)); + // In Ruby < 3.4, int**int may return Float::INFINITY + if (RB_TYPE_P(pow10, T_FLOAT)) rb_raise(rb_eFloatDomainError, "Infinity"); + + ret = rb_funcall(ret, '*', 1, pow10); + } + } + + RB_GC_GUARD(v.bigdecimal); + 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) +{ + double d; + SIGNED_VALUE e; + char *buf; + volatile VALUE str; + BDVALUE v = GetBDValueMust(self); + bool negative = BIGDECIMAL_NEGATIVE_P(v.real); + + if (VpVtoD(&d, &e, v.real) != 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-DBL_DIG)) + goto underflow; + + str = rb_str_new(0, VpNumOfChars(v.real, "E")); + buf = RSTRING_PTR(str); + VpToString(v.real, buf, RSTRING_LEN(str), 0, 0); + + RB_GC_GUARD(v.bigdecimal); + + 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 (negative) + return rb_float_new(VpGetDoubleNegInf()); + else + return rb_float_new(VpGetDoublePosInf()); + +underflow: + VpException(VP_EXCEPTION_UNDERFLOW, "BigDecimal to Float conversion", 0); + if (negative) + 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) +{ + BDVALUE v; + ssize_t sign, power, denomi_power; + VALUE a, digits, numerator; + + v = GetBDValueMust(self); + BigDecimal_check_num(v.real); + sign = VpGetSign(v.real); + power = VpExponent10(v.real); + RB_GC_GUARD(v.bigdecimal); + + 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)))); + } +} + +static size_t +GetCoercePrec(Real *a, size_t prec) +{ + if (prec == 0) prec = a->Prec * BASE_FIG; + if (prec < 2 * BIGDECIMAL_DOUBLE_FIGURES) prec = 2 * BIGDECIMAL_DOUBLE_FIGURES; + return prec; +} + +/* 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) +{ + Real* pv = VpPtr(self); + BDVALUE b = GetBDValueWithPrecMust(other, GetCoercePrec(pv, 0)); + return rb_assoc_new(CheckGetValue(b), self); +} + +/* + * call-seq: + * +big_decimal -> self + * + * Returns +self+: + * + * +BigDecimal(5) # => 0.5e1 + * +BigDecimal(-5) # => -0.5e1 + * + */ + +static VALUE +BigDecimal_uplus(VALUE self) +{ + return self; +} + +static bool +is_coerceable_to_BigDecimal(VALUE r) +{ + return is_kind_of_BigDecimal(r) || + RB_INTEGER_TYPE_P(r) || + RB_TYPE_P(r, T_FLOAT) || + RB_TYPE_P(r, T_RATIONAL); +} + + /* + * 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) +{ + if (!is_coerceable_to_BigDecimal(r)) return DoSomeOne(self, r, '+'); + return BigDecimal_addsub_with_coerce(self, r, 0, +1); +} + +static VALUE +BigDecimal_addsub_with_coerce(VALUE self, VALUE r, size_t prec, int operation) +{ + BDVALUE a, b, c; + size_t mx; + + a = GetBDValueMust(self); + b = GetBDValueWithPrecMust(r, GetCoercePrec(a.real, prec)); + + if (VpIsNaN(a.real)) return CheckGetValue(a); + if (VpIsNaN(b.real)) return CheckGetValue(b); + + if (VpIsInf(a.real) || VpIsInf(b.real)) { + c = NewZeroWrap(1, BASE_FIG); + VpAddSub(c.real, a.real, b.real, operation); + } + else { + + // Optimization when exponent difference is large + // (1.234e+1000).add(5.678e-1000, 10) == (1.234e+1000).add(0.1e+990, 10) in every rounding mode + if (prec && !VpIsZero(a.real) && !VpIsZero(b.real)) { + size_t precRoom = roomof(prec, BASE_FIG); + if (a.real->exponent - (ssize_t)Max(a.real->Prec, precRoom) - 1 > b.real->exponent) { + BDVALUE b2 = NewZeroWrap(1, BASE_FIG); + VpSetOne(b2.real) + VpSetSign(b2.real, b.real->sign); + b2.real->exponent = a.real->exponent - (ssize_t)Max(a.real->Prec, precRoom) - 1; + b = b2; + } else if (b.real->exponent - (ssize_t)Max(b.real->Prec, precRoom) - 1 > a.real->exponent) { + BDVALUE a2 = NewZeroWrap(1, BASE_FIG); + VpSetOne(a2.real) + VpSetSign(a2.real, a.real->sign); + a2.real->exponent = b.real->exponent - (ssize_t)Max(b.real->Prec, precRoom) - 1; + a = a2; + } + } + + mx = GetAddSubPrec(a.real, b.real); + c = NewZeroWrap(1, (mx + 1) * BASE_FIG); + size_t pl = VpGetPrecLimit(); + if (prec) VpSetPrecLimit(prec); + // Let VpAddSub round the result + VpAddSub(c.real, a.real, b.real, operation); + if (prec) VpSetPrecLimit(pl); + } + + RB_GC_GUARD(a.bigdecimal); + RB_GC_GUARD(b.bigdecimal); + return CheckGetValue(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) +{ + if (!is_coerceable_to_BigDecimal(r)) return DoSomeOne(self, r, '-'); + return BigDecimal_addsub_with_coerce(self, r, 0, -1); +} + +static VALUE +BigDecimalCmp(VALUE self, VALUE r,char op) +{ + SIGNED_VALUE e; + BDVALUE a = GetBDValueMust(self); + NULLABLE_BDVALUE b = GetBDValueWithPrec(r, GetCoercePrec(a.real, 0)); + + if (b.real_or_null == 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); + } + e = VpComp(a.real, b.real_or_null); + + RB_GC_GUARD(a.bigdecimal); + RB_GC_GUARD(b.bigdecimal_or_nil); + + 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 = GetSelfVpValue(self); + return VpIsZero(a) ? Qtrue : Qfalse; +} + +/* Returns self if the value is non-zero, nil otherwise. */ +static VALUE +BigDecimal_nonzero(VALUE self) +{ + Real *a = GetSelfVpValue(self); + 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) +{ + BDVALUE a = GetBDValueMust(self); + BDVALUE c = NewZeroWrap(1, a.real->Prec * BASE_FIG); + VpAsgn(c.real, a.real, -10); + RB_GC_GUARD(a.bigdecimal); + return CheckGetValue(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) +{ + if (!is_coerceable_to_BigDecimal(r)) return DoSomeOne(self, r, '*'); + return BigDecimal_mult_with_coerce(self, r, 0); +} + +static VALUE +BigDecimal_mult_with_coerce(VALUE self, VALUE r, size_t prec) +{ + BDVALUE a, b, c; + + a = GetBDValueMust(self); + b = GetBDValueWithPrecMust(r, GetCoercePrec(a.real, prec)); + + c = NewZeroWrap(1, VPMULT_RESULT_PREC(a.real, b.real) * BASE_FIG); + VpMult(c.real, a.real, b.real); + if (prec) { + VpLeftRound(c.real, VpGetRoundMode(), prec); + } + else { + VpLimitRound(c.real, 0); + } + + RB_GC_GUARD(a.bigdecimal); + RB_GC_GUARD(b.bigdecimal); + return CheckGetValue(c); +} + +static bool BigDecimal_DoDivmod(VALUE self, VALUE r, NULLABLE_BDVALUE *div, NULLABLE_BDVALUE *mod, bool truncate); + +/* 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_coerceable_to_BigDecimal(r)) 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 + * In truncate mode, use truncate instead of floor. + */ +static bool +BigDecimal_DoDivmod(VALUE self, VALUE r, NULLABLE_BDVALUE *div, NULLABLE_BDVALUE *mod, bool truncate) +{ + BDVALUE a, b, dv, md, res; + NULLABLE_BDVALUE b2; + ssize_t a_exponent, b_exponent; + size_t mx, rx, pl; + + a = GetBDValueMust(self); + + b2 = GetBDValueWithPrec(r, GetCoercePrec(a.real, 0)); + if (!b2.real_or_null) return false; + b = bdvalue_nonnullable(b2); + + if (VpIsNaN(a.real) || VpIsNaN(b.real) || (VpIsInf(a.real) && VpIsInf(b.real))) { + VALUE nan = BigDecimal_nan(); + *div = *mod = (NULLABLE_BDVALUE) { nan, VpPtr(nan) }; + goto Done; + } + if (VpIsZero(b.real)) { + rb_raise(rb_eZeroDivError, "divided by 0"); + } + if (VpIsInf(a.real)) { + if (VpGetSign(a.real) == VpGetSign(b.real)) { + VALUE inf = BigDecimal_positive_infinity(); + *div = (NULLABLE_BDVALUE) { inf, VpPtr(inf) }; + } + else { + VALUE inf = BigDecimal_negative_infinity(); + *div = (NULLABLE_BDVALUE) { inf, VpPtr(inf) }; + } + VALUE nan = BigDecimal_nan(); + *mod = (NULLABLE_BDVALUE) { nan, VpPtr(nan) }; + goto Done; + } + if (VpIsZero(a.real)) { + VALUE zero = BigDecimal_positive_zero(); + *div = (NULLABLE_BDVALUE) { zero, VpPtr(zero) }; + *mod = bdvalue_nullable(a); + goto Done; + } + if (VpIsInf(b.real)) { + if (!truncate && VpGetSign(a.real) * VpGetSign(b.real) < 0) { + BDVALUE minus_one = NewZeroWrap(1, BASE_FIG); + VpSetOne(minus_one.real); + VpSetSign(minus_one.real, -1); + RB_GC_GUARD(minus_one.bigdecimal); + *div = bdvalue_nullable(minus_one); + *mod = bdvalue_nullable(b); + } else { + VALUE zero = BigDecimal_positive_zero(); + *div = (NULLABLE_BDVALUE) { zero, VpPtr(zero) }; + *mod = bdvalue_nullable(a); + } + goto Done; + } + + a_exponent = VpExponent10(a.real); + b_exponent = VpExponent10(b.real); + mx = a_exponent > b_exponent ? a_exponent - b_exponent + 1 : 1; + dv = NewZeroWrap(1, VPDIVD_QUO_DIGITS(mx)); + + /* res is reused for VpDivd remainder and VpMult result */ + rx = VPDIVD_REM_PREC(a.real, b.real, dv.real); + mx = VPMULT_RESULT_PREC(dv.real, b.real); + res = NewZeroWrap(1, Max(rx, mx) * BASE_FIG); + /* AddSub needs one more prec */ + md = NewZeroWrap(1, (res.real->MaxPrec + 1) * BASE_FIG); + + VpDivd(dv.real, res.real, a.real, b.real); + VpMidRound(dv.real, VP_ROUND_DOWN, 0); + VpMult(res.real, dv.real, b.real); + pl = VpGetPrecLimit(); + VpSetPrecLimit(0); + VpAddSub(md.real, a.real, res.real, -1); + VpSetPrecLimit(pl); + + if (!truncate && !VpIsZero(md.real) && (VpGetSign(a.real) * VpGetSign(b.real) < 0)) { + /* result adjustment for negative case */ + BDVALUE dv2 = NewZeroWrap(1, (dv.real->MaxPrec + 1) * BASE_FIG); + BDVALUE md2 = NewZeroWrap(1, (GetAddSubPrec(md.real, b.real) + 1) * BASE_FIG); + VpSetPrecLimit(0); + VpAddSub(dv2.real, dv.real, VpOne(), -1); + VpAddSub(md2.real, md.real, b.real, 1); + VpSetPrecLimit(pl); + *div = bdvalue_nullable(dv2); + *mod = bdvalue_nullable(md2); + RB_GC_GUARD(dv2.bigdecimal); + RB_GC_GUARD(md2.bigdecimal); + } + else { + *div = bdvalue_nullable(dv); + *mod = bdvalue_nullable(md); + } + +Done: + RB_GC_GUARD(a.bigdecimal); + RB_GC_GUARD(b.bigdecimal); + RB_GC_GUARD(dv.bigdecimal); + RB_GC_GUARD(md.bigdecimal); + RB_GC_GUARD(res.bigdecimal); + return true; +} + +/* 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 */ +{ + NULLABLE_BDVALUE div, mod; + + if (BigDecimal_DoDivmod(self, r, &div, &mod, false)) { + return CheckGetValue(bdvalue_nonnullable(mod)); + } + return DoSomeOne(self, r, '%'); +} + +/* 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 */ +{ + NULLABLE_BDVALUE div, mod = { Qnil, NULL }; + + if (BigDecimal_DoDivmod(self, r, &div, &mod, true)) { + return CheckGetValue(bdvalue_nonnullable(mod)); + } + return DoSomeOne(self, r, rb_intern("remainder")); +} + +/* 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) +{ + NULLABLE_BDVALUE div, mod; + + if (BigDecimal_DoDivmod(self, r, &div, &mod, false)) { + return rb_assoc_new(BigDecimal_to_i(CheckGetValue(bdvalue_nonnullable(div))), CheckGetValue(bdvalue_nonnullable(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) +{ + SIGNED_VALUE ix; + BDVALUE av, bv, cv, res; + + if (NIL_P(n)) { /* div in Float sense */ + NULLABLE_BDVALUE div; + NULLABLE_BDVALUE mod; + if (BigDecimal_DoDivmod(self, b, &div, &mod, false)) { + return BigDecimal_to_i(CheckGetValue(bdvalue_nonnullable(div))); + } + return DoSomeOne(self, b, rb_intern("div")); + } + + /* div in BigDecimal sense */ + ix = check_int_precision(n); + + av = GetBDValueMust(self); + bv = GetBDValueWithPrecMust(b, GetCoercePrec(av.real, ix)); + + if (ix == 0) { + ssize_t a_prec, b_prec, limit = VpGetPrecLimit(); + VpCountPrecisionAndScale(av.real, &a_prec, NULL); + VpCountPrecisionAndScale(bv.real, &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; + if (limit && limit < ix) ix = limit; + } + + // Needs to calculate 1 extra digit for rounding. + cv = NewZeroWrap(1, VPDIVD_QUO_DIGITS(ix + 1)); + res = NewZeroWrap(1, VPDIVD_REM_PREC(av.real, bv.real, cv.real) * BASE_FIG); + VpDivd(cv.real, res.real, av.real, bv.real); + + if (!VpIsZero(res.real)) { + // Remainder value affects rounding result. + // ROUND_UP cv = 0.1e0 with idx=10 will be: + // 0.1e0 if remainder == 0 + // 0.1000000001e0 if remainder != 0 + size_t idx = roomof(ix, BASE_FIG); + while (cv.real->Prec <= idx) cv.real->frac[cv.real->Prec++] = 0; + if (cv.real->frac[idx] == 0 || cv.real->frac[idx] == HALF_BASE) cv.real->frac[idx]++; + } + VpLeftRound(cv.real, VpGetRoundMode(), ix); + + RB_GC_GUARD(av.bigdecimal); + RB_GC_GUARD(bv.bigdecimal); + RB_GC_GUARD(res.bigdecimal); + return CheckGetValue(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) +{ + return BigDecimal_addsub_with_coerce(self, b, check_int_precision(n), +1); +} + +/* 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) +{ + return BigDecimal_addsub_with_coerce(self, b, check_int_precision(n), -1); +} + + /* + * 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) +{ + return BigDecimal_mult_with_coerce(self, b, check_int_precision(n)); +} + +/* + * 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) +{ + BDVALUE a = GetBDValueMust(self); + BDVALUE c = NewZeroWrap(1, a.real->Prec * BASE_FIG); + VpAsgn(c.real, a.real, 10); + VpChangeSign(c.real, 1); + RB_GC_GUARD(a.bigdecimal); + return CheckGetValue(c); +} + +/* Return the integer part of the number, as a BigDecimal. + */ +static VALUE +BigDecimal_fix(VALUE self) +{ + BDVALUE a = GetBDValueMust(self); + BDVALUE c = NewZeroWrap(1, (a.real->Prec + 1) * BASE_FIG); + VpActiveRound(c.real, a.real, VP_ROUND_DOWN, 0); /* 0: round off */ + RB_GC_GUARD(a.bigdecimal); + return CheckGetValue(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) +{ + BDVALUE c, a; + int iLoc = 0; + VALUE vLoc; + VALUE vRound; + int round_to_int = 0; + size_t mx; + + 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; + } + + a = GetBDValueMust(self); + mx = (a.real->Prec + 1) * BASE_FIG; + c = NewZeroWrap(1, mx); + + VpActiveRound(c.real, a.real, sw, iLoc); + + RB_GC_GUARD(a.bigdecimal); + + if (round_to_int) { + return BigDecimal_to_i(CheckGetValue(c)); + } + return CheckGetValue(c); +} + +static VALUE +BigDecimal_truncate_floor_ceil(int argc, VALUE *argv, VALUE self, unsigned short rounding_mode) +{ + BDVALUE c, a; + int iLoc; + VALUE vLoc; + size_t mx; + + if (rb_scan_args(argc, argv, "01", &vLoc) == 0) { + iLoc = 0; + } + else { + iLoc = NUM2INT(vLoc); + } + + a = GetBDValueMust(self); + mx = (a.real->Prec + 1) * BASE_FIG; + c = NewZeroWrap(1, mx); + VpActiveRound(c.real, a.real, rounding_mode, iLoc); + + RB_GC_GUARD(a.bigdecimal); + + if (argc == 0) { + return BigDecimal_to_i(CheckGetValue(c)); + } + return CheckGetValue(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) +{ + return BigDecimal_truncate_floor_ceil(argc, argv, self, VP_ROUND_DOWN); +} + +/* Return the fractional part of the number, as a BigDecimal. + */ +static VALUE +BigDecimal_frac(VALUE self) +{ + BDVALUE a = GetBDValueMust(self); + BDVALUE c = NewZeroWrap(1, (a.real->Prec + 1) * BASE_FIG); + VpFrac(c.real, a.real); + RB_GC_GUARD(a.bigdecimal); + return CheckGetValue(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) +{ + return BigDecimal_truncate_floor_ceil(argc, argv, self, VP_ROUND_FLOOR); +} + +/* 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) +{ + return BigDecimal_truncate_floor_ceil(argc, argv, self, VP_ROUND_CEIL); +} + +/* 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', scientific 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) +{ + int fmt = 0; /* 0: E format, 1: F format */ + int fPlus = 0; /* 0: default, 1: set ' ' before digits, 2: set '+' before digits. */ + BDVALUE v; + volatile VALUE str; + char *psz; + char ch; + size_t nc, mc = 0; + SIGNED_VALUE m; + VALUE f; + + v = GetBDValueMust(self); + + 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(v.real, "F"); + } + else { + nc = VpNumOfChars(v.real, "E"); + } + if (mc > 0) { + nc += (nc + mc - 1) / mc + 1; + } + + str = rb_usascii_str_new(0, nc); + psz = RSTRING_PTR(str); + + if (fmt) { + VpToFString(v.real, psz, RSTRING_LEN(str), mc, fPlus); + } + else { + VpToString (v.real, psz, RSTRING_LEN(str), mc, fPlus); + } + rb_str_resize(str, strlen(psz)); + + RB_GC_GUARD(v.bigdecimal); + 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) +{ + BDVALUE v; + VALUE obj,str; + ssize_t e, s; + char *psz1; + + v = GetBDValueMust(self); + str = rb_str_new(0, VpNumOfChars(v.real, "E")); + psz1 = RSTRING_PTR(str); + VpSzMantissa(v.real, 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(v.real); + 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)); + + RB_GC_GUARD(v.bigdecimal); + 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(GetSelfVpValue(self)); + return SSIZET2NUM(e); +} + +/* Returns a string representation of self. + * + * BigDecimal("1234.5678").inspect + * #=> "0.12345678e4" + */ +static VALUE +BigDecimal_inspect(VALUE self) +{ + BDVALUE v; + volatile VALUE str; + size_t nc; + + v = GetBDValueMust(self); + nc = VpNumOfChars(v.real, "E"); + + str = rb_str_new(0, nc); + VpToString(v.real, RSTRING_PTR(str), RSTRING_LEN(str), 0, 0); + rb_str_resize(str, strlen(RSTRING_PTR(str))); + + RB_GC_GUARD(v.bigdecimal); + return str; +} + +/* Returns self * 10**v without changing the precision. + * This method is currently for internal use. + * + * BigDecimal("0.123e10")._decimal_shift(20) #=> "0.123e30" + * BigDecimal("0.123e10")._decimal_shift(-20) #=> "0.123e-10" + */ +static VALUE +BigDecimal_decimal_shift(VALUE self, VALUE v) +{ + BDVALUE a, c; + ssize_t shift, exponentShift; + bool shiftDown; + size_t prec; + DECDIG ex, iex; + + a = GetBDValueMust(self); + shift = NUM2SSIZET(rb_to_int(v)); + + if (VpIsZero(a.real) || VpIsNaN(a.real) || VpIsInf(a.real) || shift == 0) return CheckGetValue(a); + + exponentShift = shift > 0 ? shift / BASE_FIG : (shift + 1) / BASE_FIG - 1; + shift -= exponentShift * BASE_FIG; + ex = 1; + for (int i = 0; i < shift; i++) ex *= 10; + shiftDown = a.real->frac[0] * (DECDIG_DBL)ex >= BASE; + iex = BASE / ex; + + prec = a.real->Prec + shiftDown; + c = NewZeroWrap(1, prec * BASE_FIG); + if (shift == 0) { + VpAsgn(c.real, a.real, 10); + } else if (shiftDown) { + DECDIG carry = 0; + exponentShift++; + for (size_t i = 0; i < a.real->Prec; i++) { + DECDIG v = a.real->frac[i]; + c.real->frac[i] = carry * ex + v / iex; + carry = v % iex; + } + c.real->frac[a.real->Prec] = carry * ex; + } else { + DECDIG carry = 0; + for (ssize_t i = a.real->Prec - 1; i >= 0; i--) { + DECDIG v = a.real->frac[i]; + c.real->frac[i] = v % iex * ex + carry; + carry = v / iex; + } + } + while (c.real->frac[prec - 1] == 0) prec--; + c.real->Prec = prec; + c.real->sign = a.real->sign; + c.real->exponent = a.real->exponent; + AddExponent(c.real, exponentShift); + RB_GC_GUARD(a.bigdecimal); + return CheckGetValue(c); +} + +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))); +} + +/* :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)); + + VpCheckException(VpPtr(bd), false); + + return bd; +} + +static VALUE +rb_uint64_convert_to_BigDecimal(uint64_t uval) +{ + VALUE bd; + Real *vp; + if (uval == 0) { + bd = BigDecimal_allocate(1); + vp = VpPtr(bd); + vp->Prec = 1; + vp->exponent = 1; + VpSetZero(vp, 1); + vp->frac[0] = 0; + } + else if (uval < BASE) { + bd = BigDecimal_allocate(1); + vp = VpPtr(bd); + 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; + bd = BigDecimal_allocate(len); + vp = VpPtr(bd); + vp->Prec = len; + vp->exponent = exp; + VpSetSign(vp, 1); + MEMCPY(vp->frac, buf + BIGDECIMAL_INT64_MAX_LENGTH - len, DECDIG, len); + } + + return bd; +} + +static VALUE +rb_int64_convert_to_BigDecimal(int64_t ival) +{ + const uint64_t uval = (ival < 0) ? (((uint64_t)-(ival+1))+1) : (uint64_t)ival; + VALUE bd = rb_uint64_convert_to_BigDecimal(uval); + if (ival < 0) { + Real *vp = VpPtr(bd); + VpSetSign(vp, -1); + } + return bd; +} + +static VALUE +rb_big_convert_to_BigDecimal(VALUE val) +{ + 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)); + } + else { + return rb_uint64_convert_to_BigDecimal(NUM2ULONG(val)); + } + } +#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)); + } + else { + return rb_uint64_convert_to_BigDecimal(NUM2ULL(val)); + } + } +#endif + else { + VALUE str = rb_big2str(val, 10); + BDVALUE v = bdvalue_nonnullable(CreateFromString( + RSTRING_PTR(str), + rb_cBigDecimal, + true, + true + )); + RB_GC_GUARD(str); + return CheckGetValue(v); + } +} + +static VALUE +rb_inum_convert_to_BigDecimal(VALUE val) +{ + assert(RB_INTEGER_TYPE_P(val)); + if (FIXNUM_P(val)) { + return rb_int64_convert_to_BigDecimal(FIX2LONG(val)); + } + else { + return rb_big_convert_to_BigDecimal(val); + } +} + +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) { + digs = 0; + } + 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); + free(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); + Real *vp = VpPtr(bd); + 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)); + VALUE d = BigDecimal_div2(num, rb_rational_den(val), SIZET2NUM(digs)); + return d; +} + +static VALUE +rb_cstr_convert_to_BigDecimal(const char *c_str, int raise_exception) +{ + NULLABLE_BDVALUE v = CreateFromString(c_str, rb_cBigDecimal, true, raise_exception); + if (v.bigdecimal_or_nil == Qnil) return Qnil; + return CheckGetValue(bdvalue_nonnullable(v)); +} + +static inline VALUE +rb_str_convert_to_BigDecimal(VALUE val, int raise_exception) +{ + const char *c_str = StringValueCStr(val); + return rb_cstr_convert_to_BigDecimal(c_str, 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 = VpPtr(val); + + VALUE copy = BigDecimal_allocate(vp->MaxPrec); + Real *vp_copy = VpPtr(copy); + + VpMemCopy(vp_copy, vp); + + RB_GC_GUARD(val); + + /* TODO: rounding */ + return check_exception(copy); + } + else if (RB_INTEGER_TYPE_P(val)) { + return rb_inum_convert_to_BigDecimal(val); + } + 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, 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, 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, Float, 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 + * BigDecimal(2.0) # => 0.2e1 + * # Rational value requires ndigits. + * 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); + NULLABLE_BDVALUE v = CreateFromString(c_str, klass, false, true); + if (v.bigdecimal_or_nil == Qnil) + return Qnil; + else + return CheckGetValue(bdvalue_nonnullable(v)); +} + + /* + * 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 = GetSelfVpValue(self)->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; +} + +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)) + +#ifdef BIGDECIMAL_USE_VP_TEST_METHODS +VALUE +BigDecimal_vpdivd_generic(VALUE self, VALUE r, VALUE cprec, void (*vpdivd_func)(Real*, Real*, Real*, Real*)) { + BDVALUE a, b, c, d; + size_t cn = NUM2INT(cprec); + a = GetBDValueMust(self); + b = GetBDValueMust(r); + c = NewZeroWrap(1, cn * BASE_FIG); + d = NewZeroWrap(1, VPDIVD_REM_PREC(a.real, b.real, c.real) * BASE_FIG); + vpdivd_func(c.real, d.real, a.real, b.real); + RB_GC_GUARD(a.bigdecimal); + RB_GC_GUARD(b.bigdecimal); + return rb_assoc_new(c.bigdecimal, d.bigdecimal); +} + +void +VpDivdNormal(Real *c, Real *r, Real *a, Real *b) { + VpDivd(c, r, a, b); +} + +VALUE +BigDecimal_vpdivd(VALUE self, VALUE r, VALUE cprec) { + return BigDecimal_vpdivd_generic(self, r, cprec, VpDivdNormal); +} + +VALUE +BigDecimal_vpdivd_newton(VALUE self, VALUE r, VALUE cprec) { + return BigDecimal_vpdivd_generic(self, r, cprec, VpDivdNewton); +} + +VALUE +BigDecimal_newton_raphson_inverse(VALUE self, VALUE prec) { + return newton_raphson_inverse(self, NUM2SIZET(prec)); +} + +VALUE +BigDecimal_vpmult(VALUE self, VALUE v) { + BDVALUE a,b,c; + a = GetBDValueMust(self); + b = GetBDValueMust(v); + c = NewZeroWrap(1, VPMULT_RESULT_PREC(a.real, b.real) * BASE_FIG); + VpMult(c.real, a.real, b.real); + RB_GC_GUARD(a.bigdecimal); + RB_GC_GUARD(b.bigdecimal); + return c.bigdecimal; +} + +VALUE +BigDecimal_nttmult(VALUE self, VALUE v) { + BDVALUE a,b,c; + a = GetBDValueMust(self); + b = GetBDValueMust(v); + c = NewZeroWrap(1, VPMULT_RESULT_PREC(a.real, b.real) * BASE_FIG); + ntt_multiply(a.real->Prec, b.real->Prec, a.real->frac, b.real->frac, c.real->frac); + VpSetSign(c.real, a.real->sign * b.real->sign); + c.real->exponent = a.real->exponent + b.real->exponent; + c.real->Prec = a.real->Prec + b.real->Prec; + VpNmlz(c.real); + RB_GC_GUARD(a.bigdecimal); + RB_GC_GUARD(b.bigdecimal); + return c.bigdecimal; +} + +#endif /* BIGDECIMAL_USE_VP_TEST_METHODS */ + +/* 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, + * String, Complex, and NilClass 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 + * Complex(0.1234567, 0).to_d(4) # => 0.1235e0 + * nil.to_d # => 0.0 + * + * == 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)BASE)); + + /* 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, "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, "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, "<=>", 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, "_decimal_shift", BigDecimal_decimal_shift, 1); + rb_define_method(rb_cBigDecimal, "_dump", BigDecimal_dump, -1); + +#ifdef BIGDECIMAL_USE_VP_TEST_METHODS + rb_define_method(rb_cBigDecimal, "vpdivd", BigDecimal_vpdivd, 2); + rb_define_method(rb_cBigDecimal, "vpdivd_newton", BigDecimal_vpdivd_newton, 2); + rb_define_method(rb_cBigDecimal, "newton_raphson_inverse", BigDecimal_newton_raphson_inverse, 1); + rb_define_method(rb_cBigDecimal, "vpmult", BigDecimal_vpmult, 1); + rb_define_method(rb_cBigDecimal, "nttmult", BigDecimal_nttmult, 1); +#endif /* BIGDECIMAL_USE_VP_TEST_METHODS */ + +#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 */ +#endif /* BIGDECIMAL_DEBUG */ + +static VALUE VpConstOne; /* constant 1.0 */ + +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 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 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 +CheckGetValue(BDVALUE v) +{ + VpCheckException(v.real, false); + return v.bigdecimal; +} + +/* + * 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 void +VpSetPrecLimit(size_t n) +{ + bigdecimal_set_thread_local_precision_limit(n); +} + +/* + * 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; +} + +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 + 25; /* "-0."(3) + digits_chars + "e-"(2) + 64bit_exponent_chars(19) + null(1) */ + } + 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 */ + rb_global_variable(&VpConstOne); + VpConstOne = NewZeroWrap(1, 1).bigdecimal; + VpSetOne(VpPtr(VpConstOne)); + +#ifdef BIGDECIMAL_DEBUG + gnAlloc = 0; +#endif /* BIGDECIMAL_DEBUG */ + + return BIGDECIMAL_DOUBLE_FIGURES; +} + +VP_EXPORT Real * +VpOne(void) +{ + return VpPtr(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; + if (e > 0 && n > 0) { + if (n > VP_EXPONENT_MAX - e) goto overflow; + } else if (e < 0 && n < 0) { + if (n < VP_EXPONENT_MIN - e) goto underflow; + } else if (m > VP_EXPONENT_MAX) { + goto overflow; + } else if (m < VP_EXPONENT_MIN) { + 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); +} + +NULLABLE_BDVALUE +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') { + VALUE obj = BigDecimal_allocate(1); + Real *vp = VpPtr(obj); + switch (table[i].sign) { + default: + UNREACHABLE; + return (NULLABLE_BDVALUE) { Qnil, NULL }; + case VP_SIGN_POSITIVE_INFINITE: + VpSetPosInf(vp); + break; + case VP_SIGN_NEGATIVE_INFINITE: + VpSetNegInf(vp); + break; + case VP_SIGN_NaN: + VpSetNaN(vp); + break; + } + return (NULLABLE_BDVALUE) { obj, vp }; + } + } + + return (NULLABLE_BDVALUE) { Qnil, NULL }; +} + +/* + * Allocates variable. + * [Input] + * szVal ... The value assigned(char). + * + * [Returns] + * NULLABLE_BDVALUE to the newly allocated variable. + * Null is returned if memory allocation failed, or any error occured. + */ +VP_EXPORT NULLABLE_BDVALUE +VpAlloc(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; + char v, *psz; + int sign=1; + VALUE buf; + + /* Skipping leading spaces */ + while (ISSPACE(*szVal)) szVal++; + + /* Check on Inf & NaN */ + NULLABLE_BDVALUE special_bd = bigdecimal_parse_special_string(szVal); + if (special_bd.real_or_null != NULL) { + return special_bd; + } + + /* Skip leading `#`. + * It used to be a mark to indicate that an extra MaxPrec should be allocated, + * but now it has no effect. + */ + if (*szVal == '#') ++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) { + BDVALUE res = rbd_allocate_struct_zero_wrap(1, 1); + return (NULLABLE_BDVALUE) { res.bigdecimal, res.real }; + } + if (!exc) { + return (NULLABLE_BDVALUE) { Qnil, 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[] */ + VALUE obj = BigDecimal_allocate(nalloc); + Real *vp = VpPtr(obj); + VpSetZero(vp, sign); + VpCtoV(vp, psz, ni, psz + ipf, nf, psz + ipe, ne); + rb_str_resize(buf, 0); + return (NULLABLE_BDVALUE) { obj, 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 && 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, sign; + Real *a_ptr, *b_ptr; + size_t n, na, nb, i; + DECDIG mrv; + + 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); + sign = isw / 2; + } + else { /* subtraction */ + VpSetSign(c, 1); + mrv = VpSubAbs(a_ptr, b_ptr, c); + sign = a_ptr == a ? VpGetSign(a) : VpGetSign(a_ptr) * sw; + } + if (VpIsInf(c)) { + VpSetInf(c, sign); + } + else { + VpSetSign(c, sign); + VpInternalRound(c, 0, (c->Prec > 0) ? c->frac[c->Prec-1] : 0, mrv); + } + + 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; + + 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: + + 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; + + 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: + 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 + */ +VP_EXPORT size_t +VpMult(Real *c, Real *a, Real *b) +{ + ssize_t a_batch_max, b_batch_max; + DECDIG_DBL batch[VPMULT_BATCH_SIZE * 2 - 1]; + + 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, 10 * VpGetSign(a)); + goto Exit; + } + if (VpIsOne(b)) { + VpAsgn(c, a, 10 * VpGetSign(b)); + goto Exit; + } + if (b->Prec > a->Prec) { + /* Adjust so that digits(a)>digits(b) */ + Real *w = a; + a = b; + b = w; + } + + /* set LHSV c info */ + + c->exponent = a->exponent; /* set exponent */ + VpSetSign(c, VpGetSign(a) * VpGetSign(b)); /* set sign */ + if (!AddExponent(c, b->exponent)) return 0; + + if (b->Prec >= NTT_MULTIPLICATION_THRESHOLD) { + ntt_multiply(a->Prec, b->Prec, a->frac, b->frac, c->frac); + c->Prec = a->Prec + b->Prec; + goto Cleanup; + } + + c->Prec = a->Prec + b->Prec; /* set precision */ + memset(c->frac, 0, c->Prec * sizeof(DECDIG)); /* Initialize c */ + + // Process VPMULT_BATCH_SIZE decdigits at a time to reduce the number of carry operations. + a_batch_max = (a->Prec - 1) / VPMULT_BATCH_SIZE; + b_batch_max = (b->Prec - 1) / VPMULT_BATCH_SIZE; + for (ssize_t ibatch = a_batch_max; ibatch >= 0; ibatch--) { + int isize = ibatch == a_batch_max ? (a->Prec - 1) % VPMULT_BATCH_SIZE + 1 : VPMULT_BATCH_SIZE; + for (ssize_t jbatch = b_batch_max; jbatch >= 0; jbatch--) { + int jsize = jbatch == b_batch_max ? (b->Prec - 1) % VPMULT_BATCH_SIZE + 1 : VPMULT_BATCH_SIZE; + memset(batch, 0, (isize + jsize - 1) * sizeof(DECDIG_DBL)); + + // Perform multiplication without carry calculation. + // BASE * BASE * VPMULT_BATCH_SIZE < 2**64 should be satisfied so that + // DECDIG_DBL can hold the intermediate sum without overflow. + for (int i = 0; i < isize; i++) { + for (int j = 0; j < jsize; j++) { + batch[i + j] += (DECDIG_DBL)a->frac[ibatch * VPMULT_BATCH_SIZE + i] * b->frac[jbatch * VPMULT_BATCH_SIZE + j]; + } + } + + // Add the batch result to c with carry calculation. + DECDIG_DBL carry = 0; + for (int k = isize + jsize - 2; k >= 0; k--) { + size_t l = (ibatch + jbatch) * VPMULT_BATCH_SIZE + k + 1; + DECDIG_DBL s = c->frac[l] + batch[k] + carry; + c->frac[l] = (DECDIG)(s % BASE); + carry = (DECDIG_DBL)(s / BASE); + } + + // Adding carry may exceed BASE, but it won't cause overflow of DECDIG. + // Exceeded value will be resolved in the carry operation of next (ibatch + jbatch - 1) batch. + // WARNING: This safety strongly relies on the current nested loop execution order. + c->frac[(ibatch + jbatch) * VPMULT_BATCH_SIZE] += (DECDIG)carry; + } + } + +Cleanup: + VpNmlz(c); + +Exit: + return c->Prec*BASE_FIG; +} + +/* + * c = a / b, remainder = r + * XXXX_YYYY_ZZZZ / 0001 = XXXX_YYYY_ZZZZ + * XXXX_YYYY_ZZZZ / 1111 = 000X_000Y_000Z + * 00XX_XXYY_YYZZ / 1000 = 0000_0XXX_XYYY + * 0001_0000_0000 / 9999 = 0000_0001_0001 + */ +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 borrow1, borrow2; + DECDIG_DBL qb; + + 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; + } + + 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; + + if (word_c >= NEWTON_RAPHSON_DIVISION_THRESHOLD && word_b >= NEWTON_RAPHSON_DIVISION_THRESHOLD) { + VpDivdNewton(c, r, a, b); + goto Exit; + } + + for (i = 0; i < word_a; ++i) r->frac[i] = a->frac[i]; + for (i = word_a; i < word_r; ++i) r->frac[i] = 0; + for (i = 0; i < word_c; ++i) c->frac[i] = 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 */ + nLoop = Min(word_c, word_r); + ind_c = 0; + while (ind_c < nLoop) { + if (r->frac[ind_c] == 0) { + ++ind_c; + continue; + } + r1r2 = (DECDIG_DBL)r->frac[ind_c] * BASE + (ind_c + 1 < word_r ? r->frac[ind_c + 1] : 0); + 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. */ + q = 1; + ++c->frac[ind_c]; + ind_r = b->Prec + ind_c - 1; + goto sub_mult; + } + /* 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; + } + /* End of operation, now final arrangement */ +out_side: + c->Prec = word_c; + c->exponent = a->exponent; + VpSetSign(c, VpGetSign(a) * VpGetSign(b)); + if (!AddExponent(c, 1)) return 0; + if (!AddExponent(c, -(b->exponent))) return 0; + + VpNmlz(c); /* normalize c */ + r->Prec = word_r; + r->exponent = a->exponent; + VpSetSign(r, VpGetSign(a)); + VpNmlz(r); /* normalize r(remainder) */ + goto Exit; + +space_error: + rb_bug("ERROR(VpDivd): space for remainder too small."); + +Exit: + 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; + + 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 iend, idig = 0, iexp = 0, nspaces; + char *p; + + if (fFmt == 0) return; + + iend = strlen(psz); + + if ((p = strchr(psz, '.'))) { + idig = (p - psz) + 1; + } + if ((p = strchr(psz, 'E')) || (p = strchr(psz, 'e'))) { + iexp = p - psz; + } + if (idig == 0 || idig > iexp) return; + + nspaces = (iexp - idig - 1) / fFmt; + p = psz + iend + 1; + for (size_t i = nspaces; i > 0; i--) { + char *src = psz + idig + i * fFmt; + char *dst = psz + idig + i * (fFmt + 1); + memmove(dst, src, p - src); + dst[-1] = ' '; + p = src; + } +} + +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) { + *buf = (char)('0' + nn); + 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; +} + +#define ULLTOA_BUFFER_SIZE 20 +static size_t Vp_ulltoa(unsigned long long number, char *buf) +{ + static const char digits[] = "0123456789"; + char* tmp = buf; + + do *tmp-- = digits[number % 10]; while (number /= 10); + return buf - tmp; +} + +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. */ +{ + char ulltoa_buf[ULLTOA_BUFFER_SIZE]; + char *ulltoa_buf_end = ulltoa_buf + ULLTOA_BUFFER_SIZE; + 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) { + *p = (char)('0' + nn); + ADVANCE(1); + + /* 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; + } + *p = 'e'; + ADVANCE(1); + + if (ex < 0) { + *p = '-'; + ADVANCE(1); + ex = -ex; + } + + size_t ex_n = Vp_ulltoa(ex, ulltoa_buf_end - 1); + if (ex_n > plen) goto overflow; + MEMCPY(p, ulltoa_buf_end - ex_n, char, ex_n); + ADVANCE(ex_n); + *p = '\0'; + ADVANCE(1); + + 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; + 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) { + int dig = exp_chr[i] - '0'; + if (MUL_OVERFLOW_SIGNED_VALUE_P(e, 10) || + ADD_OVERFLOW_SIGNED_VALUE_P(e * 10, signe * dig)) { + exponent_overflow = 1; + break; + } + e = e * 10 + signe * dig; + ++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; + } + } + /* skip leading zeros in integer part */ + while (i < mi && int_chr[i] == '0') { + ++i; + --ni; + } + + /* set actual exponent size. */ + if (ADD_OVERFLOW_SIGNED_VALUE_P(e, (SIGNED_VALUE)ni)) { + exponent_overflow = 1; + } else { + e += ni; + } + + /* Adjust the exponent so that it is the multiple of BASE_FIG. */ + j = (BASE_FIG - e % BASE_FIG) % BASE_FIG; + if (ADD_OVERFLOW_SIGNED_VALUE_P(e, (SIGNED_VALUE)j)) { + exponent_overflow = 1; + } else { + e += j; + } + + if (exponent_overflow || e < EXPONENT_MIN || e > EXPONENT_MAX) { + 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 && e > 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 = e / (SIGNED_VALUE)BASE_FIG; + 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: + return f; +} + +/* + * 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 -= y->exponent * (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, 10); + 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, 10); + 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: + return; +} + +#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 */ |