Class: BigDecimal
- Inherits:
-
Numeric
- Object
- Numeric
- BigDecimal
- Defined in:
- bigdecimal.c,
lib/bigdecimal/util.rb,
bigdecimal.c
Overview
BigDecimal provides arbitrary-precision floating point decimal arithmetic.
Copyright © 2002 by Shigeo Kobayashi <[email protected]>.
You may distribute under the terms of either the GNU General Public License or the Artistic License, as specified in the README file of the BigDecimal distribution.
Documented by mathew <[email protected]>.
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
for i in (1..10000)
sum = sum + 0.0001
end
print sum #=> 0.9999999999999062
and contrast with the output from:
require 'bigdecimal'
sum = BigDecimal.new("0")
for i in (1..10000)
sum = sum + BigDecimal.new("0.0001")
end
print sum #=> 0.1E1
Similarly:
(BigDecimal.new(“1.2”) - BigDecimal(“1.0”)) == BigDecimal(“0.2”) #=> true
(1.2 - 1.0) == 0.2 #=> false
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.new(“1.0”) / BigDecimal.new(“0.0”) #=> infinity BigDecimal.new(“-1.0”) / BigDecimal.new(“0.0”) #=> -infinity
You can represent infinite numbers to BigDecimal using the strings 'Infinity'
, '+Infinity'
and '-Infinity'
(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.new(“0.0”) / BigDecimal.new(“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.new(‘NaN’) n == 0.0 #=> nil n == n #=> nil
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.new(“1.0”) / BigDecimal.new(“-Infinity”) #=> -0.0
If the value is positive, a value of positive zero is returned.
BigDecimal.new(“1.0”) / BigDecimal.new(“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.
Constant Summary collapse
- BASE =
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.)
INT2FIX((SIGNED_VALUE)VpBaseVal())
- EXCEPTION_ALL =
Determines whether overflow, underflow or zero divide result in an exception being thrown. See BigDecimal.mode.
0xff
- EXCEPTION_NaN =
Determines what happens when the result of a computation is not a number (NaN). See BigDecimal.mode.
0x02
- EXCEPTION_INFINITY =
Determines what happens when the result of a computation is infinity. See BigDecimal.mode.
0x01
- EXCEPTION_UNDERFLOW =
Determines what happens when the result of a computation is an underflow (a result too small to be represented). See BigDecimal.mode.
0x04
- EXCEPTION_OVERFLOW =
Determines what happens when the result of a computation is an overflow (a result too large to be represented). See BigDecimal.mode.
0x01
- EXCEPTION_ZERODIVIDE =
Determines what happens when a division by zero is performed. See BigDecimal.mode.
0x01
- ROUND_MODE =
Determines what happens when a result must be rounded in order to fit in the appropriate number of significant digits. See BigDecimal.mode.
0x100
- ROUND_UP =
Indicates that values should be rounded away from zero. See BigDecimal.mode.
1
- ROUND_DOWN =
Indicates that values should be rounded towards zero. See BigDecimal.mode.
2
- ROUND_HALF_UP =
Indicates that digits >= 5 should be rounded up, others rounded down. See BigDecimal.mode.
3
- ROUND_HALF_DOWN =
Indicates that digits >= 6 should be rounded up, others rounded down. See BigDecimal.mode.
4
- ROUND_CEILING =
Round towards +infinity. See BigDecimal.mode.
5
- ROUND_FLOOR =
Round towards -infinity. See BigDecimal.mode.
6
- ROUND_HALF_EVEN =
Round towards the even neighbor. See BigDecimal.mode.
7
- SIGN_NaN =
Indicates that a value is not a number. See BigDecimal.sign.
0
- SIGN_POSITIVE_ZERO =
Indicates that a value is +0. See BigDecimal.sign.
1
- SIGN_NEGATIVE_ZERO =
Indicates that a value is -0. See BigDecimal.sign.
-1
- SIGN_POSITIVE_FINITE =
Indicates that a value is positive and finite. See BigDecimal.sign.
2
- SIGN_NEGATIVE_FINITE =
Indicates that a value is negative and finite. See BigDecimal.sign.
-2
- SIGN_POSITIVE_INFINITE =
Indicates that a value is positive and infinite. See BigDecimal.sign.
3
- SIGN_NEGATIVE_INFINITE =
Indicates that a value is negative and infinite. See BigDecimal.sign.
-3
- INFINITY =
Positive infinity value.
BigDecimal_global_new(1, &arg, rb_cBigDecimal)
- NAN =
‘Not a Number’ value.
BigDecimal_global_new(1, &arg, rb_cBigDecimal)
Class Method Summary collapse
-
._load ⇒ Object
Internal method used to provide marshalling support.
-
.double_fig ⇒ Object
BigDecimal.double_fig.
-
.limit ⇒ Object
BigDecimal.limit(digits).
-
.mode ⇒ Object
BigDecimal.mode(mode, value).
-
.save_exception_mode { ... } ⇒ Object
Excecute the provided block, but preserve the exception mode.
-
.save_limit { ... } ⇒ Object
Excecute the provided block, but preserve the precision limit.
-
.save_rounding_mode { ... } ⇒ Object
Excecute the provided block, but preserve the rounding mode.
-
.ver ⇒ Object
Returns the BigDecimal version number.
Instance Method Summary collapse
-
#% ⇒ Object
%: a%b = a - (a.to_f/b).floor * b.
-
#* ⇒ Object
call-seq: mult(value, digits).
-
#**(exp) ⇒ Object
It is a synonym of BigDecimal#power(exp).
-
#+ ⇒ Object
call-seq: add(value, digits).
-
#+@ ⇒ Object
Return self.
-
#- ⇒ Object
sub(value, digits).
-
#-@ ⇒ Object
Return the negation of self.
-
#/ ⇒ Object
For c = self/r: with round operation.
-
#< ⇒ Object
a < b.
-
#<= ⇒ Object
a <= b.
-
#<=> ⇒ Object
The comparison operator.
-
#== ⇒ Object
Tests for value equality; returns true if the values are equal.
-
#=== ⇒ Object
Tests for value equality; returns true if the values are equal.
-
#> ⇒ Object
a > b.
-
#>= ⇒ Object
a >= b.
-
#_dump ⇒ Object
Method used to provide marshalling support.
-
#abs ⇒ Object
Returns the absolute value.
-
#add ⇒ Object
call-seq: add(value, digits).
-
#ceil ⇒ Object
ceil(n).
-
#coerce ⇒ Object
The coerce method provides support for Ruby type coercion.
-
#div ⇒ Object
See BigDecimal#quo.
-
#divmod ⇒ Object
Divides by the specified value, and returns the quotient and modulus as BigDecimal numbers.
-
#eql? ⇒ Boolean
Tests for value equality; returns true if the values are equal.
-
#exponent ⇒ Object
Returns the exponent of the BigDecimal number, as an Integer.
-
#finite? ⇒ Boolean
Returns True if the value is finite (not NaN or infinite).
-
#fix ⇒ Object
Return the integer part of the number.
-
#floor ⇒ Object
floor(n).
-
#frac ⇒ Object
Return the fractional part of the number.
-
#hash ⇒ Object
Creates a hash for this BigDecimal.
-
#infinite? ⇒ Boolean
Returns nil, -1, or 1 depending on whether the value is finite, -infinity, or infinity.
-
#new(initial, digits) ⇒ Object
constructor
Create a new BigDecimal object.
-
#initialize_copy ⇒ Object
:nodoc:.
-
#inspect ⇒ Object
Returns debugging information about the value as a string of comma-separated values in angle brackets with a leading #:.
-
#modulo ⇒ Object
%: a%b = a - (a.to_f/b).floor * b.
-
#mult ⇒ Object
call-seq: mult(value, digits).
-
#nan? ⇒ Boolean
Returns True if the value is Not a Number.
-
#nonzero? ⇒ Boolean
Returns self if the value is non-zero, nil otherwise.
-
#power ⇒ Object
power(n) power(n, prec).
-
#precs ⇒ Object
precs.
-
#quo ⇒ Object
For c = self/r: with round operation.
-
#remainder ⇒ Object
remainder.
-
#round ⇒ Object
round(n, mode).
-
#sign ⇒ Object
Returns the sign of the value.
-
#split ⇒ Object
Splits a BigDecimal number into four parts, returned as an array of values.
-
#sqrt ⇒ Object
sqrt(n).
- #sub ⇒ Object
-
#to_d ⇒ Object
call-seq: a.to_d -> bigdecimal.
-
#to_digits ⇒ Object
call-seq: a.to_digits -> string.
-
#to_f ⇒ Object
Returns a new Float object having approximately the same value as the BigDecimal number.
-
#to_i ⇒ Object
Returns the value as an integer (Fixnum or Bignum).
-
#to_int ⇒ Object
Returns the value as an integer (Fixnum or Bignum).
-
#to_r ⇒ Object
Converts a BigDecimal to a Rational.
-
#to_s ⇒ Object
to_s(s).
-
#truncate ⇒ Object
truncate(n).
-
#zero? ⇒ Boolean
Returns True if the value is zero.
Constructor Details
#new(initial, digits) ⇒ Object
Create a new BigDecimal object.
- initial
-
The initial value, as an Integer, a Float, a Rational, a BigDecimal, or a String.
If it is a String, spaces are ignored and unrecognized characters terminate the value.
- digits
-
The number of significant digits, as a Fixnum. If omitted or 0, the number of significant digits is determined from the initial value.
The actual number of significant digits used in computation is usually larger than the specified number.
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# File 'bigdecimal.c', line 2388
static VALUE
BigDecimal_initialize(int argc, VALUE *argv, VALUE self)
{
Real *pv = rb_check_typeddata(self, &BigDecimal_data_type);
Real *x = BigDecimal_new(argc, argv);
if (ToValue(x)) {
pv = VpCopy(pv, x);
}
else {
VpFree(pv);
pv = x;
}
DATA_PTR(self) = pv;
pv->obj = self;
return self;
}
|
Class Method Details
._load ⇒ Object
Internal method used to provide marshalling support. See the Marshal module.
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# File 'bigdecimal.c', line 371
static VALUE
BigDecimal_load(VALUE self, VALUE str)
{
ENTER(2);
Real *pv;
unsigned char *pch;
unsigned char ch;
unsigned long m=0;
SafeStringValue(str);
pch = (unsigned char *)RSTRING_PTR(str);
/* First get max prec */
while((*pch)!=(unsigned char)'\0' && (ch=*pch++)!=(unsigned char)':') {
if(!ISDIGIT(ch)) {
rb_raise(rb_eTypeError, "load failed: invalid character in the marshaled string");
}
m = m*10 + (unsigned long)(ch-'0');
}
if(m>VpBaseFig()) m -= VpBaseFig();
GUARD_OBJ(pv,VpNewRbClass(m,(char *)pch,self));
m /= VpBaseFig();
if(m && pv->MaxPrec>m) pv->MaxPrec = m+1;
return ToValue(pv);
}
|
.double_fig ⇒ Object
BigDecimal.double_fig
The BigDecimal.double_fig class method returns the number of digits a Float number is allowed to have. The result depends upon the CPU and OS in use.
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# File 'bigdecimal.c', line 284
static VALUE
BigDecimal_double_fig(VALUE self)
{
return INT2FIX(VpDblFig());
}
|
.limit ⇒ Object
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.
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# File 'bigdecimal.c', line 2489
static VALUE
BigDecimal_limit(int argc, VALUE *argv, VALUE self)
{
VALUE nFig;
VALUE nCur = INT2NUM(VpGetPrecLimit());
if(rb_scan_args(argc,argv,"01",&nFig)==1) {
int nf;
if(nFig==Qnil) return nCur;
Check_Type(nFig, T_FIXNUM);
nf = FIX2INT(nFig);
if(nf<0) {
rb_raise(rb_eArgError, "argument must be positive");
}
VpSetPrecLimit(nf);
}
return nCur;
}
|
.mode ⇒ Object
BigDecimal.mode(mode, value)
Controls handling of arithmetic exceptions and rounding. If no value is supplied, the current value is returned.
Six values of the mode parameter control the handling of arithmetic exceptions:
BigDecimal::EXCEPTION_NaN BigDecimal::EXCEPTION_INFINITY BigDecimal::EXCEPTION_UNDERFLOW BigDecimal::EXCEPTION_OVERFLOW BigDecimal::EXCEPTION_ZERODIVIDE BigDecimal::EXCEPTION_ALL
For each mode parameter above, if the value set is false, computation continues after an arithmetic exception of the appropriate type. When computation continues, results are as follows:
- EXCEPTION_NaN
-
NaN
- EXCEPTION_INFINITY
-
+infinity or -infinity
- EXCEPTION_UNDERFLOW
-
0
- EXCEPTION_OVERFLOW
-
+infinity or -infinity
- EXCEPTION_ZERODIVIDE
-
+infinity or -infinity
One value of the mode parameter controls the rounding of numeric values: BigDecimal::ROUND_MODE. The values it can take are:
- ROUND_UP, :up
-
round away from zero
- ROUND_DOWN, :down, :truncate
-
round towards zero (truncate)
- ROUND_HALF_UP, :half_up, :default
-
round towards the nearest neighbor, unless both neighbors are equidistant, in which case round away from zero. (default)
- ROUND_HALF_DOWN, :half_down
-
round towards the nearest neighbor, unless both neighbors are equidistant, in which case round towards zero.
- ROUND_HALF_EVEN, :half_even, :banker
-
round towards the nearest neighbor, unless both neighbors are equidistant, in which case round towards the even neighbor (Banker’s rounding)
- ROUND_CEILING, :ceiling, :ceil
-
round towards positive infinity (ceil)
- ROUND_FLOOR, :floor
-
round towards negative infinity (floor)
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# File 'bigdecimal.c', line 470
static VALUE
BigDecimal_mode(int argc, VALUE *argv, VALUE self)
{
VALUE which;
VALUE val;
unsigned long f,fo;
if(rb_scan_args(argc,argv,"11",&which,&val)==1) val = Qnil;
Check_Type(which, T_FIXNUM);
f = (unsigned long)FIX2INT(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;
}
|
.save_exception_mode { ... } ⇒ Object
Excecute 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.new(BigDecimal('Infinity'))
BigDecimal.new(BigDecimal('-Infinity'))
BigDecimal(BigDecimal.new('NaN'))
end
For use with the BigDecimal::EXCEPTION_*
See BigDecimal.mode
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# File 'bigdecimal.c', line 2549
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;
}
|
.save_limit { ... } ⇒ Object
Excecute 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
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# File 'bigdecimal.c', line 2599
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;
}
|
.save_rounding_mode { ... } ⇒ Object
Excecute the provided block, but preserve the rounding mode
BigDecimal.save_exception_mode do
BigDecimal.mode(BigDecimal::ROUND_MODE, :up)
puts BigDecimal.mode(BigDecimal::ROUND_MODE)
end
For use with the BigDecimal::ROUND_*
See BigDecimal.mode
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# File 'bigdecimal.c', line 2574
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;
}
|
.ver ⇒ Object
Returns the BigDecimal version number.
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# File 'bigdecimal.c', line 113
static VALUE
BigDecimal_version(VALUE self)
{
/*
* 1.0.0: Ruby 1.8.0
* 1.0.1: Ruby 1.8.1
* 1.1.0: Ruby 1.9.3
*/
return rb_str_new2("1.1.0");
}
|
Instance Method Details
#% ⇒ Object
%: a%b = a - (a.to_f/b).floor * b
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# File 'bigdecimal.c', line 1340
static VALUE
BigDecimal_mod(VALUE self, VALUE r) /* %: a%b = a - (a.to_f/b).floor * b */
{
ENTER(3);
Real *div=NULL, *mod=NULL;
if(BigDecimal_DoDivmod(self,r,&div,&mod)) {
SAVE(div); SAVE(mod);
return ToValue(mod);
}
return DoSomeOne(self,r,'%');
}
|
#* ⇒ Object
call-seq: mult(value, digits)
Multiply by the specified value.
e.g.
c = a.mult(b,n)
c = a * b
- 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.
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# File 'bigdecimal.c', line 1150
static VALUE
BigDecimal_mult(VALUE self, VALUE r)
{
ENTER(5);
Real *c, *a, *b;
size_t mx;
GUARD_OBJ(a,GetVpValue(self,1));
if (RB_TYPE_P(r, T_FLOAT)) {
b = GetVpValueWithPrec(r, DBL_DIG+1, 1);
}
else if (RB_TYPE_P(r, T_RATIONAL)) {
b = GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 1);
}
else {
b = GetVpValue(r,0);
}
if(!b) return DoSomeOne(self,r,'*');
SAVE(b);
mx = a->Prec + b->Prec;
GUARD_OBJ(c,VpCreateRbObject(mx *(VpBaseFig() + 1), "0"));
VpMult(c, a, b);
return ToValue(c);
}
|
#**(exp) ⇒ Object
It is a synonym of BigDecimal#power(exp).
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# File 'bigdecimal.c', line 2356
static VALUE
BigDecimal_power_op(VALUE self, VALUE exp)
{
return BigDecimal_power(1, &exp, self);
}
|
#+ ⇒ Object
call-seq: add(value, digits)
Add the specified value.
e.g.
c = a.add(b,n)
c = a + b
- 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.
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# File 'bigdecimal.c', line 835
static VALUE
BigDecimal_add(VALUE self, VALUE r)
{
ENTER(5);
Real *c, *a, *b;
size_t mx;
GUARD_OBJ(a, GetVpValue(self, 1));
if (RB_TYPE_P(r, T_FLOAT)) {
b = GetVpValueWithPrec(r, DBL_DIG+1, 1);
}
else if (RB_TYPE_P(r, T_RATIONAL)) {
b = GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 1);
}
else {
b = GetVpValue(r,0);
}
if (!b) return DoSomeOne(self,r,'+');
SAVE(b);
if (VpIsNaN(b)) return b->obj;
if (VpIsNaN(a)) return a->obj;
mx = GetAddSubPrec(a, b);
if (mx == (size_t)-1L) {
GUARD_OBJ(c,VpCreateRbObject(VpBaseFig() + 1, "0"));
VpAddSub(c, a, b, 1);
}
else {
GUARD_OBJ(c, VpCreateRbObject(mx * (VpBaseFig() + 1), "0"));
if(!mx) {
VpSetInf(c, VpGetSign(a));
}
else {
VpAddSub(c, a, b, 1);
}
}
return ToValue(c);
}
|
#+@ ⇒ Object
Return self.
e.g.
b = +a # b == a
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# File 'bigdecimal.c', line 812
static VALUE
BigDecimal_uplus(VALUE self)
{
return self;
}
|
#- ⇒ Object
sub(value, digits)
Subtract the specified value.
e.g.
c = a.sub(b,n)
c = a - b
- 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.
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# File 'bigdecimal.c', line 889
static VALUE
BigDecimal_sub(VALUE self, VALUE r)
{
ENTER(5);
Real *c, *a, *b;
size_t mx;
GUARD_OBJ(a,GetVpValue(self,1));
if (RB_TYPE_P(r, T_FLOAT)) {
b = GetVpValueWithPrec(r, DBL_DIG+1, 1);
}
else if (RB_TYPE_P(r, T_RATIONAL)) {
b = GetVpValueWithPrec(r, a->Prec*VpBaseFig(), 1);
}
else {
b = GetVpValue(r,0);
}
if(!b) return DoSomeOne(self,r,'-');
SAVE(b);
if(VpIsNaN(b)) return b->obj;
if(VpIsNaN(a)) return a->obj;
mx = GetAddSubPrec(a,b);
if (mx == (size_t)-1L) {
GUARD_OBJ(c,VpCreateRbObject(VpBaseFig() + 1, "0"));
VpAddSub(c, a, b, -1);
} else {
GUARD_OBJ(c,VpCreateRbObject(mx *(VpBaseFig() + 1), "0"));
if(!mx) {
VpSetInf(c,VpGetSign(a));
} else {
VpAddSub(c, a, b, -1);
}
}
return ToValue(c);
}
|
#-@ ⇒ Object
Return the negation of self.
e.g.
b = -a
b == a * -1
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# File 'bigdecimal.c', line 1124
static VALUE
BigDecimal_neg(VALUE self)
{
ENTER(5);
Real *c, *a;
GUARD_OBJ(a,GetVpValue(self,1));
GUARD_OBJ(c,VpCreateRbObject(a->Prec *(VpBaseFig() + 1), "0"));
VpAsgn(c, a, -1);
return ToValue(c);
}
|
#/ ⇒ Object
For c = self/r: with round operation
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# File 'bigdecimal.c', line 1228
static VALUE
BigDecimal_div(VALUE self, VALUE r)
/* For c = self/r: with round operation */
{
ENTER(5);
Real *c=NULL, *res=NULL, *div = NULL;
r = BigDecimal_divide(&c, &res, &div, self, r);
if(r!=(VALUE)0) return r; /* coerced by other */
SAVE(c);SAVE(res);SAVE(div);
/* a/b = c + r/b */
/* c xxxxx
r 00000yyyyy ==> (y/b)*BASE >= HALF_BASE
*/
/* Round */
if(VpHasVal(div)) { /* frac[0] must be zero for NaN,INF,Zero */
VpInternalRound(c, 0, c->frac[c->Prec-1], (BDIGIT)(VpBaseVal()*(BDIGIT_DBL)res->frac[0]/div->frac[0]));
}
return ToValue(c);
}
|
#< ⇒ Object
a < b
Returns true if a is less than b.
Values may be coerced to perform the comparison (see ==, BigDecimal#coerce).
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# File 'bigdecimal.c', line 1070
static VALUE
BigDecimal_lt(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, '<');
}
|
#<= ⇒ Object
a <= b
Returns true if a is less than or equal to b.
Values may be coerced to perform the comparison (see ==, BigDecimal#coerce).
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# File 'bigdecimal.c', line 1083
static VALUE
BigDecimal_le(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, 'L');
}
|
#<=> ⇒ Object
The comparison operator. a <=> b is 0 if a == b, 1 if a > b, -1 if a < b.
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# File 'bigdecimal.c', line 1041
static VALUE
BigDecimal_comp(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, '*');
}
|
#== ⇒ Object
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.new(‘1.0’) == 1.0 -> true
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# File 'bigdecimal.c', line 1057
static VALUE
BigDecimal_eq(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, '=');
}
|
#=== ⇒ Object
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.new(‘1.0’) == 1.0 -> true
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# File 'bigdecimal.c', line 1057
static VALUE
BigDecimal_eq(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, '=');
}
|
#> ⇒ Object
a > b
Returns true if a is greater than b.
Values may be coerced to perform the comparison (see ==, BigDecimal#coerce).
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# File 'bigdecimal.c', line 1096
static VALUE
BigDecimal_gt(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, '>');
}
|
#>= ⇒ Object
a >= b
Returns true if a is greater than or equal to b.
Values may be coerced to perform the comparison (see ==, BigDecimal#coerce)
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# File 'bigdecimal.c', line 1109
static VALUE
BigDecimal_ge(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, 'G');
}
|
#_dump ⇒ Object
Method used to provide marshalling support.
inf = BigDecimal.new('Infinity')
=> #<BigDecimal:1e16fa8,'Infinity',9(9)>
BigDecimal._load(inf._dump)
=> #<BigDecimal:1df8dc8,'Infinity',9(9)>
See the Marshal module.
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# File 'bigdecimal.c', line 349
static VALUE
BigDecimal_dump(int argc, VALUE *argv, VALUE self)
{
ENTER(5);
Real *vp;
char *psz;
VALUE dummy;
volatile VALUE dump;
rb_scan_args(argc, argv, "01", &dummy);
GUARD_OBJ(vp,GetVpValue(self,1));
dump = rb_str_new(0,VpNumOfChars(vp,"E")+50);
psz = RSTRING_PTR(dump);
sprintf(psz, "%"PRIuSIZE":", VpMaxPrec(vp)*VpBaseFig());
VpToString(vp, psz+strlen(psz), 0, 0);
rb_str_resize(dump, strlen(psz));
return dump;
}
|
#abs ⇒ Object
Returns the absolute value.
BigDecimal(‘5’).abs -> 5
BigDecimal(‘-3’).abs -> 3
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# File 'bigdecimal.c', line 1541
static VALUE
BigDecimal_abs(VALUE self)
{
ENTER(5);
Real *c, *a;
size_t mx;
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpAsgn(c, a, 1);
VpChangeSign(c, 1);
return ToValue(c);
}
|
#add ⇒ Object
call-seq: add(value, digits)
Add the specified value.
e.g.
c = a.add(b,n)
c = a + b
- 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.
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# File 'bigdecimal.c', line 1484
static VALUE
BigDecimal_add2(VALUE self, VALUE b, VALUE n)
{
ENTER(2);
Real *cv;
SIGNED_VALUE mx = GetPositiveInt(n);
if (mx == 0) return BigDecimal_add(self, b);
else {
size_t pl = VpSetPrecLimit(0);
VALUE c = BigDecimal_add(self,b);
VpSetPrecLimit(pl);
GUARD_OBJ(cv,GetVpValue(c,1));
VpLeftRound(cv,VpGetRoundMode(),mx);
return ToValue(cv);
}
}
|
#ceil ⇒ Object
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
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# File 'bigdecimal.c', line 1779
static VALUE
BigDecimal_ceil(int argc, VALUE *argv, VALUE self)
{
ENTER(5);
Real *c, *a;
int iLoc;
VALUE vLoc;
size_t mx, pl = VpSetPrecLimit(0);
if(rb_scan_args(argc,argv,"01",&vLoc)==0) {
iLoc = 0;
} else {
Check_Type(vLoc, T_FIXNUM);
iLoc = FIX2INT(vLoc);
}
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpSetPrecLimit(pl);
VpActiveRound(c,a,VP_ROUND_CEIL,iLoc);
if (argc == 0) {
return BigDecimal_to_i(ToValue(c));
}
return ToValue(c);
}
|
#coerce ⇒ Object
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.new(“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.
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# File 'bigdecimal.c', line 780
static VALUE
BigDecimal_coerce(VALUE self, VALUE other)
{
ENTER(2);
VALUE obj;
Real *b;
if (RB_TYPE_P(other, T_FLOAT)) {
obj = rb_assoc_new(other, BigDecimal_to_f(self));
}
else {
if (RB_TYPE_P(other, T_RATIONAL)) {
Real* pv = DATA_PTR(self);
GUARD_OBJ(b, GetVpValueWithPrec(other, pv->Prec*VpBaseFig(), 1));
}
else {
GUARD_OBJ(b, GetVpValue(other, 1));
}
obj = rb_assoc_new(b->obj, self);
}
return obj;
}
|
#div ⇒ Object
See BigDecimal#quo
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# File 'bigdecimal.c', line 1448
static VALUE
BigDecimal_div2(int argc, VALUE *argv, VALUE self)
{
ENTER(5);
VALUE b,n;
int na = rb_scan_args(argc,argv,"11",&b,&n);
if(na==1) { /* div in Float sense */
Real *div=NULL;
Real *mod;
if(BigDecimal_DoDivmod(self,b,&div,&mod)) {
return BigDecimal_to_i(ToValue(div));
}
return DoSomeOne(self,b,rb_intern("div"));
} else { /* div in BigDecimal sense */
SIGNED_VALUE ix = GetPositiveInt(n);
if (ix == 0) return BigDecimal_div(self, b);
else {
Real *res=NULL;
Real *av=NULL, *bv=NULL, *cv=NULL;
size_t mx = (ix+VpBaseFig()*2);
size_t pl = VpSetPrecLimit(0);
GUARD_OBJ(cv,VpCreateRbObject(mx,"0"));
GUARD_OBJ(av,GetVpValue(self,1));
GUARD_OBJ(bv,GetVpValue(b,1));
mx = av->Prec + bv->Prec + 2;
if(mx <= cv->MaxPrec) mx = cv->MaxPrec+1;
GUARD_OBJ(res,VpCreateRbObject((mx * 2 + 2)*VpBaseFig(), "#0"));
VpDivd(cv,res,av,bv);
VpSetPrecLimit(pl);
VpLeftRound(cv,VpGetRoundMode(),ix);
return ToValue(cv);
}
}
}
|
#divmod ⇒ Object
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.new(“42”) b = BigDecimal.new(“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.
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# File 'bigdecimal.c', line 1432
static VALUE
BigDecimal_divmod(VALUE self, VALUE r)
{
ENTER(5);
Real *div=NULL, *mod=NULL;
if(BigDecimal_DoDivmod(self,r,&div,&mod)) {
SAVE(div); SAVE(mod);
return rb_assoc_new(ToValue(div), ToValue(mod));
}
return DoSomeOne(self,r,rb_intern("divmod"));
}
|
#eql? ⇒ Boolean
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.new(‘1.0’) == 1.0 -> true
1057 1058 1059 1060 1061 |
# File 'bigdecimal.c', line 1057
static VALUE
BigDecimal_eq(VALUE self, VALUE r)
{
return BigDecimalCmp(self, r, '=');
}
|
#exponent ⇒ Object
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.
1967 1968 1969 1970 1971 1972 |
# File 'bigdecimal.c', line 1967
static VALUE
BigDecimal_exponent(VALUE self)
{
ssize_t e = VpExponent10(GetVpValue(self, 1));
return INT2NUM(e);
}
|
#finite? ⇒ Boolean
Returns True if the value is finite (not NaN or infinite)
615 616 617 618 619 620 621 622 |
# File 'bigdecimal.c', line 615
static VALUE
BigDecimal_IsFinite(VALUE self)
{
Real *p = GetVpValue(self,1);
if(VpIsNaN(p)) return Qfalse;
if(VpIsInf(p)) return Qfalse;
return Qtrue;
}
|
#fix ⇒ Object
Return the integer part of the number.
1582 1583 1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 |
# File 'bigdecimal.c', line 1582
static VALUE
BigDecimal_fix(VALUE self)
{
ENTER(5);
Real *c, *a;
size_t mx;
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpActiveRound(c,a,VP_ROUND_DOWN,0); /* 0: round off */
return ToValue(c);
}
|
#floor ⇒ Object
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
1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 |
# File 'bigdecimal.c', line 1732
static VALUE
BigDecimal_floor(int argc, VALUE *argv, VALUE self)
{
ENTER(5);
Real *c, *a;
int iLoc;
VALUE vLoc;
size_t mx, pl = VpSetPrecLimit(0);
if(rb_scan_args(argc,argv,"01",&vLoc)==0) {
iLoc = 0;
} else {
Check_Type(vLoc, T_FIXNUM);
iLoc = FIX2INT(vLoc);
}
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpSetPrecLimit(pl);
VpActiveRound(c,a,VP_ROUND_FLOOR,iLoc);
#ifdef BIGDECIMAL_DEBUG
VPrint(stderr, "floor: c=%\n", c);
#endif
if (argc == 0) {
return BigDecimal_to_i(ToValue(c));
}
return ToValue(c);
}
|
#frac ⇒ Object
Return the fractional part of the number.
1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 |
# File 'bigdecimal.c', line 1701
static VALUE
BigDecimal_frac(VALUE self)
{
ENTER(5);
Real *c, *a;
size_t mx;
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpFrac(c, a);
return ToValue(c);
}
|
#hash ⇒ Object
Creates a hash for this BigDecimal.
Two BigDecimals with equal sign, fractional part and exponent have the same hash.
320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 |
# File 'bigdecimal.c', line 320
static VALUE
BigDecimal_hash(VALUE self)
{
ENTER(1);
Real *p;
st_index_t hash;
GUARD_OBJ(p,GetVpValue(self,1));
hash = (st_index_t)p->sign;
/* hash!=2: the case for 0(1),NaN(0) or +-Infinity(3) is sign itself */
if(hash == 2 || hash == (st_index_t)-2) {
hash ^= rb_memhash(p->frac, sizeof(BDIGIT)*p->Prec);
hash += p->exponent;
}
return INT2FIX(hash);
}
|
#infinite? ⇒ Boolean
Returns nil, -1, or 1 depending on whether the value is finite, -infinity, or infinity.
605 606 607 608 609 610 611 612 |
# File 'bigdecimal.c', line 605
static VALUE
BigDecimal_IsInfinite(VALUE self)
{
Real *p = GetVpValue(self,1);
if(VpIsPosInf(p)) return INT2FIX(1);
if(VpIsNegInf(p)) return INT2FIX(-1);
return Qnil;
}
|
#initialize_copy ⇒ Object
:nodoc:
private method to dup and clone the provided BigDecimal other
2410 2411 2412 2413 2414 2415 2416 2417 2418 |
# File 'bigdecimal.c', line 2410
static VALUE
BigDecimal_initialize_copy(VALUE self, VALUE other)
{
Real *pv = rb_check_typeddata(self, &BigDecimal_data_type);
Real *x = rb_check_typeddata(other, &BigDecimal_data_type);
DATA_PTR(self) = VpCopy(pv, x);
return self;
}
|
#inspect ⇒ Object
Returns debugging information about the value as a string of comma-separated values in angle brackets with a leading #:
BigDecimal.new(“1234.5678”).inspect -> “#<BigDecimal:b7ea1130,‘0.12345678E4’,8(12)>”
The first part is the address, the second is the value as a string, and the final part ss(mm) is the current number of significant digits and the maximum number of significant digits, respectively.
1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 |
# File 'bigdecimal.c', line 1984
static VALUE
BigDecimal_inspect(VALUE self)
{
ENTER(5);
Real *vp;
volatile VALUE obj;
size_t nc;
char *psz, *tmp;
GUARD_OBJ(vp,GetVpValue(self,1));
nc = VpNumOfChars(vp,"E");
nc +=(nc + 9) / 10;
obj = rb_str_new(0, nc+256);
psz = RSTRING_PTR(obj);
sprintf(psz,"#<BigDecimal:%"PRIxVALUE",'",self);
tmp = psz + strlen(psz);
VpToString(vp, tmp, 10, 0);
tmp += strlen(tmp);
sprintf(tmp, "',%"PRIuSIZE"(%"PRIuSIZE")>", VpPrec(vp)*VpBaseFig(), VpMaxPrec(vp)*VpBaseFig());
rb_str_resize(obj, strlen(psz));
return obj;
}
|
#modulo ⇒ Object
%: a%b = a - (a.to_f/b).floor * b
1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 |
# File 'bigdecimal.c', line 1340
static VALUE
BigDecimal_mod(VALUE self, VALUE r) /* %: a%b = a - (a.to_f/b).floor * b */
{
ENTER(3);
Real *div=NULL, *mod=NULL;
if(BigDecimal_DoDivmod(self,r,&div,&mod)) {
SAVE(div); SAVE(mod);
return ToValue(mod);
}
return DoSomeOne(self,r,'%');
}
|
#mult ⇒ Object
call-seq: mult(value, digits)
Multiply by the specified value.
e.g.
c = a.mult(b,n)
c = a * b
- 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.
1518 1519 1520 1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 |
# File 'bigdecimal.c', line 1518
static VALUE
BigDecimal_mult2(VALUE self, VALUE b, VALUE n)
{
ENTER(2);
Real *cv;
SIGNED_VALUE mx = GetPositiveInt(n);
if (mx == 0) return BigDecimal_mult(self, b);
else {
size_t pl = VpSetPrecLimit(0);
VALUE c = BigDecimal_mult(self,b);
VpSetPrecLimit(pl);
GUARD_OBJ(cv,GetVpValue(c,1));
VpLeftRound(cv,VpGetRoundMode(),mx);
return ToValue(cv);
}
}
|
#nan? ⇒ Boolean
Returns True if the value is Not a Number
594 595 596 597 598 599 600 |
# File 'bigdecimal.c', line 594
static VALUE
BigDecimal_IsNaN(VALUE self)
{
Real *p = GetVpValue(self,1);
if(VpIsNaN(p)) return Qtrue;
return Qfalse;
}
|
#nonzero? ⇒ Boolean
Returns self if the value is non-zero, nil otherwise.
1031 1032 1033 1034 1035 1036 |
# File 'bigdecimal.c', line 1031
static VALUE
BigDecimal_nonzero(VALUE self)
{
Real *a = GetVpValue(self,1);
return VpIsZero(a) ? Qnil : self;
}
|
#power ⇒ Object
power(n) power(n, prec)
Returns the value raised to the power of n.
Note that n must be an Integer.
Also available as the operator **
2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155 2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169 2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183 2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197 2198 2199 2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213 2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227 2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241 2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255 2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269 2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297 2298 2299 2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313 2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327 2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341 2342 2343 2344 2345 2346 2347 2348 2349 |
# File 'bigdecimal.c', line 2130
static VALUE
BigDecimal_power(int argc, VALUE*argv, VALUE self)
{
ENTER(5);
VALUE vexp, prec;
Real* exp = NULL;
Real *x, *y;
ssize_t mp, ma, n;
SIGNED_VALUE int_exp;
double d;
rb_scan_args(argc, argv, "11", &vexp, &prec);
GUARD_OBJ(x, GetVpValue(self, 1));
n = NIL_P(prec) ? (ssize_t)(x->Prec*VpBaseFig()) : NUM2SSIZET(prec);
if (VpIsNaN(x)) {
y = VpCreateRbObject(n, "0#");
RB_GC_GUARD(y->obj);
VpSetNaN(y);
return ToValue(y);
}
retry:
switch (TYPE(vexp)) {
case T_FIXNUM:
break;
case T_BIGNUM:
break;
case T_FLOAT:
d = RFLOAT_VALUE(vexp);
if (d == round(d)) {
vexp = LL2NUM((LONG_LONG)round(d));
goto retry;
}
exp = GetVpValueWithPrec(vexp, DBL_DIG+1, 1);
break;
case T_RATIONAL:
if (is_zero(RRATIONAL(vexp)->num)) {
if (is_positive(vexp)) {
vexp = INT2FIX(0);
goto retry;
}
}
else if (is_one(RRATIONAL(vexp)->den)) {
vexp = RRATIONAL(vexp)->num;
goto retry;
}
exp = GetVpValueWithPrec(vexp, n, 1);
break;
case T_DATA:
if (is_kind_of_BigDecimal(vexp)) {
VALUE zero = INT2FIX(0);
VALUE rounded = BigDecimal_round(1, &zero, vexp);
if (RTEST(BigDecimal_eq(vexp, rounded))) {
vexp = BigDecimal_to_i(vexp);
goto retry;
}
exp = DATA_PTR(vexp);
break;
}
/* fall through */
default:
rb_raise(rb_eTypeError,
"wrong argument type %s (expected scalar Numeric)",
rb_obj_classname(vexp));
}
if (VpIsZero(x)) {
if (is_negative(vexp)) {
y = VpCreateRbObject(n, "#0");
RB_GC_GUARD(y->obj);
if (VpGetSign(x) < 0) {
if (is_integer(vexp)) {
if (is_even(vexp)) {
/* (-0) ** (-even_integer) -> Infinity */
VpSetPosInf(y);
}
else {
/* (-0) ** (-odd_integer) -> -Infinity */
VpSetNegInf(y);
}
}
else {
/* (-0) ** (-non_integer) -> Infinity */
VpSetPosInf(y);
}
}
else {
/* (+0) ** (-num) -> Infinity */
VpSetPosInf(y);
}
return ToValue(y);
}
else if (is_zero(vexp)) {
return ToValue(VpCreateRbObject(n, "1"));
}
else {
return ToValue(VpCreateRbObject(n, "0"));
}
}
if (is_zero(vexp)) {
return ToValue(VpCreateRbObject(n, "1"));
}
else if (is_one(vexp)) {
return self;
}
if (VpIsInf(x)) {
if (is_negative(vexp)) {
if (VpGetSign(x) < 0) {
if (is_integer(vexp)) {
if (is_even(vexp)) {
/* (-Infinity) ** (-even_integer) -> +0 */
return ToValue(VpCreateRbObject(n, "0"));
}
else {
/* (-Infinity) ** (-odd_integer) -> -0 */
return ToValue(VpCreateRbObject(n, "-0"));
}
}
else {
/* (-Infinity) ** (-non_integer) -> -0 */
return ToValue(VpCreateRbObject(n, "-0"));
}
}
else {
return ToValue(VpCreateRbObject(n, "0"));
}
}
else {
y = VpCreateRbObject(n, "0#");
if (VpGetSign(x) < 0) {
if (is_integer(vexp)) {
if (is_even(vexp)) {
VpSetPosInf(y);
}
else {
VpSetNegInf(y);
}
}
else {
/* TODO: support complex */
rb_raise(rb_eMathDomainError,
"a non-integral exponent for a negative base");
}
}
else {
VpSetPosInf(y);
}
return ToValue(y);
}
}
if (exp != NULL) {
return rmpd_power_by_big_decimal(x, exp, n);
}
else if (RB_TYPE_P(vexp, T_BIGNUM)) {
VALUE abs_value = BigDecimal_abs(self);
if (is_one(abs_value)) {
return ToValue(VpCreateRbObject(n, "1"));
}
else if (RTEST(rb_funcall(abs_value, '<', 1, INT2FIX(1)))) {
if (is_negative(vexp)) {
y = VpCreateRbObject(n, "0#");
if (is_even(vexp)) {
VpSetInf(y, VpGetSign(x));
}
else {
VpSetInf(y, -VpGetSign(x));
}
return ToValue(y);
}
else if (VpGetSign(x) < 0 && is_even(vexp)) {
return ToValue(VpCreateRbObject(n, "-0"));
}
else {
return ToValue(VpCreateRbObject(n, "0"));
}
}
else {
if (is_positive(vexp)) {
y = VpCreateRbObject(n, "0#");
if (is_even(vexp)) {
VpSetInf(y, VpGetSign(x));
}
else {
VpSetInf(y, -VpGetSign(x));
}
return ToValue(y);
}
else if (VpGetSign(x) < 0 && is_even(vexp)) {
return ToValue(VpCreateRbObject(n, "-0"));
}
else {
return ToValue(VpCreateRbObject(n, "0"));
}
}
}
int_exp = FIX2INT(vexp);
ma = int_exp;
if (ma < 0) ma = -ma;
if (ma == 0) ma = 1;
if (VpIsDef(x)) {
mp = x->Prec * (VpBaseFig() + 1);
GUARD_OBJ(y, VpCreateRbObject(mp * (ma + 1), "0"));
}
else {
GUARD_OBJ(y, VpCreateRbObject(1, "0"));
}
VpPower(y, x, int_exp);
return ToValue(y);
}
|
#precs ⇒ Object
precs
Returns an Array of two Integer values.
The first value is the current number of significant digits in the BigDecimal. The second value is the maximum number of significant digits for the BigDecimal.
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# File 'bigdecimal.c', line 299
static VALUE
BigDecimal_prec(VALUE self)
{
ENTER(1);
Real *p;
VALUE obj;
GUARD_OBJ(p,GetVpValue(self,1));
obj = rb_assoc_new(INT2NUM(p->Prec*VpBaseFig()),
INT2NUM(p->MaxPrec*VpBaseFig()));
return obj;
}
|
#quo ⇒ Object
For c = self/r: with round operation
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# File 'bigdecimal.c', line 1228
static VALUE
BigDecimal_div(VALUE self, VALUE r)
/* For c = self/r: with round operation */
{
ENTER(5);
Real *c=NULL, *res=NULL, *div = NULL;
r = BigDecimal_divide(&c, &res, &div, self, r);
if(r!=(VALUE)0) return r; /* coerced by other */
SAVE(c);SAVE(res);SAVE(div);
/* a/b = c + r/b */
/* c xxxxx
r 00000yyyyy ==> (y/b)*BASE >= HALF_BASE
*/
/* Round */
if(VpHasVal(div)) { /* frac[0] must be zero for NaN,INF,Zero */
VpInternalRound(c, 0, c->frac[c->Prec-1], (BDIGIT)(VpBaseVal()*(BDIGIT_DBL)res->frac[0]/div->frac[0]));
}
return ToValue(c);
}
|
#remainder ⇒ Object
remainder
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# File 'bigdecimal.c', line 1403
static VALUE
BigDecimal_remainder(VALUE self, VALUE r) /* remainder */
{
VALUE f;
Real *d,*rv=0;
f = BigDecimal_divremain(self,r,&d,&rv);
if(f!=(VALUE)0) return f;
return ToValue(rv);
}
|
#round ⇒ Object
round(n, mode)
Round to the nearest 1 (by default), returning the result as a BigDecimal.
BigDecimal(‘3.14159’).round #=> 3 BigDecimal(‘8.7’).round #=> 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’).round(3) #=> 3.142 BigDecimal(‘13345.234’).round(-2) #=> 13300.0
The value of the optional mode argument can be used to determine how rounding is performed; see BigDecimal.mode.
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# File 'bigdecimal.c', line 1616
static VALUE
BigDecimal_round(int argc, VALUE *argv, VALUE self)
{
ENTER(5);
Real *c, *a;
int iLoc = 0;
VALUE vLoc;
VALUE vRound;
size_t mx, pl;
unsigned short sw = VpGetRoundMode();
switch (rb_scan_args(argc, argv, "02", &vLoc, &vRound)) {
case 0:
iLoc = 0;
break;
case 1:
Check_Type(vLoc, T_FIXNUM);
iLoc = FIX2INT(vLoc);
break;
case 2:
Check_Type(vLoc, T_FIXNUM);
iLoc = FIX2INT(vLoc);
sw = check_rounding_mode(vRound);
break;
}
pl = VpSetPrecLimit(0);
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpSetPrecLimit(pl);
VpActiveRound(c,a,sw,iLoc);
if (argc == 0) {
return BigDecimal_to_i(ToValue(c));
}
return ToValue(c);
}
|
#sign ⇒ Object
Returns the sign of the value.
Returns a positive value if > 0, a negative value if < 0, and a zero if == 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
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# File 'bigdecimal.c', line 2524
static VALUE
BigDecimal_sign(VALUE self)
{ /* sign */
int s = GetVpValue(self,1)->sign;
return INT2FIX(s);
}
|
#split ⇒ Object
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.)
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# File 'bigdecimal.c', line 1930
static VALUE
BigDecimal_split(VALUE self)
{
ENTER(5);
Real *vp;
VALUE obj,str;
ssize_t e, s;
char *psz1;
GUARD_OBJ(vp,GetVpValue(self,1));
str = rb_str_new(0, VpNumOfChars(vp,"E"));
psz1 = RSTRING_PTR(str);
VpSzMantissa(vp,psz1);
s = 1;
if(psz1[0]=='-') {
size_t len = strlen(psz1+1);
memmove(psz1, psz1+1, len);
psz1[len] = '\0';
s = -1;
}
if(psz1[0]=='N') s=0; /* NaN */
e = VpExponent10(vp);
obj = rb_ary_new2(4);
rb_ary_push(obj, INT2FIX(s));
rb_ary_push(obj, str);
rb_str_resize(str, strlen(psz1));
rb_ary_push(obj, INT2FIX(10));
rb_ary_push(obj, INT2NUM(e));
return obj;
}
|
#sqrt ⇒ Object
sqrt(n)
Returns the square root of the value.
Result has at least n significant digits.
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# File 'bigdecimal.c', line 1563
static VALUE
BigDecimal_sqrt(VALUE self, VALUE nFig)
{
ENTER(5);
Real *c, *a;
size_t mx, n;
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
n = GetPositiveInt(nFig) + VpDblFig() + 1;
if(mx <= n) mx = n;
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpSqrt(c, a);
return ToValue(c);
}
|
#sub ⇒ Object
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# File 'bigdecimal.c', line 1501
static VALUE
BigDecimal_sub2(VALUE self, VALUE b, VALUE n)
{
ENTER(2);
Real *cv;
SIGNED_VALUE mx = GetPositiveInt(n);
if (mx == 0) return BigDecimal_sub(self, b);
else {
size_t pl = VpSetPrecLimit(0);
VALUE c = BigDecimal_sub(self,b);
VpSetPrecLimit(pl);
GUARD_OBJ(cv,GetVpValue(c,1));
VpLeftRound(cv,VpGetRoundMode(),mx);
return ToValue(cv);
}
}
|
#to_d ⇒ Object
call-seq:
a.to_d -> bigdecimal
Returns self.
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# File 'lib/bigdecimal/util.rb', line 79 def to_d self end |
#to_digits ⇒ Object
call-seq:
a.to_digits -> string
Converts a BigDecimal to a String of the form “nnnnnn.mmm”. This method is deprecated; use BigDecimal#to_s(“F”) instead.
require 'bigdecimal'
require 'bigdecimal/util'
d = BigDecimal.new("3.14")
d.to_digits
# => "3.14"
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# File 'lib/bigdecimal/util.rb', line 65 def to_digits if self.nan? || self.infinite? || self.zero? self.to_s else i = self.to_i.to_s _,f,_,z = self.frac.split i + "." + ("0"*(-z)) + f end end |
#to_f ⇒ Object
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.
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# File 'bigdecimal.c', line 687
static VALUE
BigDecimal_to_f(VALUE self)
{
ENTER(1);
Real *p;
double d;
SIGNED_VALUE e;
char *buf;
volatile VALUE str;
GUARD_OBJ(p, GetVpValue(self, 1));
if (VpVtoD(&d, &e, p) != 1)
return rb_float_new(d);
if (e > (SIGNED_VALUE)(DBL_MAX_10_EXP+BASE_FIG))
goto overflow;
if (e < (SIGNED_VALUE)(DBL_MIN_10_EXP-BASE_FIG))
goto underflow;
str = rb_str_new(0, VpNumOfChars(p,"E"));
buf = RSTRING_PTR(str);
VpToString(p, buf, 0, 0);
errno = 0;
d = strtod(buf, 0);
if (errno == ERANGE) {
if (d == 0.0) goto underflow;
if (fabs(d) >= HUGE_VAL) goto overflow;
}
return rb_float_new(d);
overflow:
VpException(VP_EXCEPTION_OVERFLOW, "BigDecimal to Float conversion", 0);
if (p->sign >= 0)
return rb_float_new(VpGetDoublePosInf());
else
return rb_float_new(VpGetDoubleNegInf());
underflow:
VpException(VP_EXCEPTION_UNDERFLOW, "BigDecimal to Float conversion", 0);
if (p->sign >= 0)
return rb_float_new(0.0);
else
return rb_float_new(-0.0);
}
|
#to_i ⇒ Object
Returns the value as an integer (Fixnum or Bignum).
If the BigNumber is infinity or NaN, raises FloatDomainError.
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# File 'bigdecimal.c', line 642
static VALUE
BigDecimal_to_i(VALUE self)
{
ENTER(5);
ssize_t e, nf;
Real *p;
GUARD_OBJ(p,GetVpValue(self,1));
BigDecimal_check_num(p);
e = VpExponent10(p);
if(e<=0) return INT2FIX(0);
nf = VpBaseFig();
if(e<=nf) {
return LONG2NUM((long)(VpGetSign(p)*(BDIGIT_DBL_SIGNED)p->frac[0]));
}
else {
VALUE a = BigDecimal_split(self);
VALUE digits = RARRAY_PTR(a)[1];
VALUE numerator = rb_funcall(digits, rb_intern("to_i"), 0);
VALUE ret;
ssize_t dpower = e - (ssize_t)RSTRING_LEN(digits);
if (VpGetSign(p) < 0) {
numerator = rb_funcall(numerator, '*', 1, INT2FIX(-1));
}
if (dpower < 0) {
ret = rb_funcall(numerator, rb_intern("div"), 1,
rb_funcall(INT2FIX(10), rb_intern("**"), 1,
INT2FIX(-dpower)));
}
else
ret = rb_funcall(numerator, '*', 1,
rb_funcall(INT2FIX(10), rb_intern("**"), 1,
INT2FIX(dpower)));
if (RB_TYPE_P(ret, T_FLOAT))
rb_raise(rb_eFloatDomainError, "Infinity");
return ret;
}
}
|
#to_int ⇒ Object
Returns the value as an integer (Fixnum or Bignum).
If the BigNumber is infinity or NaN, raises FloatDomainError.
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# File 'bigdecimal.c', line 642
static VALUE
BigDecimal_to_i(VALUE self)
{
ENTER(5);
ssize_t e, nf;
Real *p;
GUARD_OBJ(p,GetVpValue(self,1));
BigDecimal_check_num(p);
e = VpExponent10(p);
if(e<=0) return INT2FIX(0);
nf = VpBaseFig();
if(e<=nf) {
return LONG2NUM((long)(VpGetSign(p)*(BDIGIT_DBL_SIGNED)p->frac[0]));
}
else {
VALUE a = BigDecimal_split(self);
VALUE digits = RARRAY_PTR(a)[1];
VALUE numerator = rb_funcall(digits, rb_intern("to_i"), 0);
VALUE ret;
ssize_t dpower = e - (ssize_t)RSTRING_LEN(digits);
if (VpGetSign(p) < 0) {
numerator = rb_funcall(numerator, '*', 1, INT2FIX(-1));
}
if (dpower < 0) {
ret = rb_funcall(numerator, rb_intern("div"), 1,
rb_funcall(INT2FIX(10), rb_intern("**"), 1,
INT2FIX(-dpower)));
}
else
ret = rb_funcall(numerator, '*', 1,
rb_funcall(INT2FIX(10), rb_intern("**"), 1,
INT2FIX(dpower)));
if (RB_TYPE_P(ret, T_FLOAT))
rb_raise(rb_eFloatDomainError, "Infinity");
return ret;
}
}
|
#to_r ⇒ Object
Converts a BigDecimal to a Rational.
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# File 'bigdecimal.c', line 734
static VALUE
BigDecimal_to_r(VALUE self)
{
Real *p;
ssize_t sign, power, denomi_power;
VALUE a, digits, numerator;
p = GetVpValue(self,1);
BigDecimal_check_num(p);
sign = VpGetSign(p);
power = VpExponent10(p);
a = BigDecimal_split(self);
digits = RARRAY_PTR(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))));
}
}
|
#to_s ⇒ Object
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 fractional digits.
If s ends with an ‘E’, engineering notation (0.xxxxEnn) is used.
If s ends with an ‘F’, conventional floating point notation is used.
Examples:
BigDecimal.new(‘-123.45678901234567890’).to_s(‘5F’)
#=> '-123.45678 90123 45678 9'
BigDecimal.new(‘123.45678901234567890’).to_s(‘+8F’)
#=> '+123.45678901 23456789'
BigDecimal.new(‘123.45678901234567890’).to_s(‘ F’)
#=> ' 123.4567890123456789'
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# File 'bigdecimal.c', line 1839
static VALUE
BigDecimal_to_s(int argc, VALUE *argv, VALUE self)
{
ENTER(5);
int fmt = 0; /* 0:E format */
int fPlus = 0; /* =0:default,=1: set ' ' before digits ,set '+' before digits. */
Real *vp;
volatile VALUE str;
char *psz;
char ch;
size_t nc, mc = 0;
VALUE f;
GUARD_OBJ(vp,GetVpValue(self,1));
if (rb_scan_args(argc,argv,"01",&f)==1) {
if (RB_TYPE_P(f, T_STRING)) {
SafeStringValue(f);
psz = RSTRING_PTR(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 {
mc = (size_t)GetPositiveInt(f);
}
}
if (fmt) {
nc = VpNumOfChars(vp, "F");
}
else {
nc = VpNumOfChars(vp, "E");
}
if (mc > 0) {
nc += (nc + mc - 1) / mc + 1;
}
str = rb_str_new(0, nc);
psz = RSTRING_PTR(str);
if (fmt) {
VpToFString(vp, psz, mc, fPlus);
}
else {
VpToString (vp, psz, mc, fPlus);
}
rb_str_resize(str, strlen(psz));
return str;
}
|
#truncate ⇒ Object
truncate(n)
Truncate to the nearest 1, returning the result as a BigDecimal.
BigDecimal(‘3.14159’).truncate #=> 3 BigDecimal(‘8.7’).truncate #=> 8
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
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# File 'bigdecimal.c', line 1672
static VALUE
BigDecimal_truncate(int argc, VALUE *argv, VALUE self)
{
ENTER(5);
Real *c, *a;
int iLoc;
VALUE vLoc;
size_t mx, pl = VpSetPrecLimit(0);
if(rb_scan_args(argc,argv,"01",&vLoc)==0) {
iLoc = 0;
} else {
Check_Type(vLoc, T_FIXNUM);
iLoc = FIX2INT(vLoc);
}
GUARD_OBJ(a,GetVpValue(self,1));
mx = a->Prec *(VpBaseFig() + 1);
GUARD_OBJ(c,VpCreateRbObject(mx, "0"));
VpSetPrecLimit(pl);
VpActiveRound(c,a,VP_ROUND_DOWN,iLoc); /* 0: truncate */
if (argc == 0) {
return BigDecimal_to_i(ToValue(c));
}
return ToValue(c);
}
|
#zero? ⇒ Boolean
Returns True if the value is zero.
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# File 'bigdecimal.c', line 1023
static VALUE
BigDecimal_zero(VALUE self)
{
Real *a = GetVpValue(self,1);
return VpIsZero(a) ? Qtrue : Qfalse;
}
|