Minilib.Math.BigFloat
Defined in minilib-math@0.6.1
Arbitrary-precision floating point number.
A BigFloat is composed from a mantissa and the exponent of base 2.
Each BigFloat has a precision. It is same as the precision of the mantissa, and determined by the length of the underlying array (= BigNat).
The precision of a BigNat can be changed with set_prec().
For unary operator such as -a, the precision of the result is the same as the precision of the operand.
For binary operator such as a + b, a - b, a * b, a / b, the precision of the result is the maximum precision of the two operands.
Values
namespace Minilib.Math.BigFloat
abs
Type: Minilib.Math.BigFloat::BigFloat -> Minilib.Math.BigFloat::BigFloat
Returns the absolute value of a.
epsilon
Type: Minilib.Math.BigFloat::BigFloat -> Minilib.Math.BigFloat::BigFloat
Gets a BigInt that represents the smallest change in the mantissa of this BigInt.
from_F64
Type: Std::F64 -> Minilib.Math.BigFloat::BigFloat
Converts F64 to BigFloat.
from_string_precision
Type: Std::String -> Std::I64 -> Std::Result Std::ErrMsg Minilib.Math.BigFloat::BigFloat
Converts a string to BigFloat with the precision specified in base 10.
get_prec
Type: Minilib.Math.BigFloat::BigFloat -> Std::I64
Gets the precision of a BigFloat in base 2. It is multiple of 32.
get_prec10
Type: Minilib.Math.BigFloat::BigFloat -> Std::I64
Gets the precision of a BigFloat in base 10.
It calls get_prec() and converts the precision from base 2.
is_negative
Type: Minilib.Math.BigFloat::BigFloat -> Std::Bool
Returns true iff the BigFloat is negative.
is_positive
Type: Minilib.Math.BigFloat::BigFloat -> Std::Bool
Returns true iff the BigFloat is positive.
is_zero
Type: Minilib.Math.BigFloat::BigFloat -> Std::Bool
Returns true iff the BigFloat is zero.
make
Type: Minilib.Math.BigInt::BigInt -> Std::I64 -> Minilib.Math.BigFloat::BigFloat
Creates a BigFloat from a BigInt and the exponent of base 2.
mul_pow2
Type: Std::I64 -> Minilib.Math.BigFloat::BigFloat -> Minilib.Math.BigFloat::BigFloat
Calculates a * 2^e.
pow_by_U64
Type: Std::U64 -> Minilib.Math.BigFloat::BigFloat -> Minilib.Math.BigFloat::BigFloat
Calculates a^n.
set_prec
Type: Std::I64 -> Minilib.Math.BigFloat::BigFloat -> Minilib.Math.BigFloat::BigFloat
Set the precision of a BigFloat in base2.
The precision is round-up to multiple of 32, except if prec == 0 then the precision is set to 32.
set_prec10
Type: Std::I64 -> Minilib.Math.BigFloat::BigFloat -> Minilib.Math.BigFloat::BigFloat
Sets the precision of a BigFloat in base 10.
It calls set_prec() after converting the precision to base 2.
sqrt
Type: Minilib.Math.BigFloat::BigFloat -> Minilib.Math.BigFloat::BigFloat
Returns the square root of a.
to_F64
Type: Minilib.Math.BigFloat::BigFloat -> Std::F64
Converts BigFloat to F64. If BigFloat is out of range of F64, unexpected result is returned.
to_string_exp
Type: Minilib.Math.BigFloat::BigFloat -> Std::String
Convert a BigFloat to a string of exponential form.
to_string_exp_precision
Type: Std::I64 -> Minilib.Math.BigFloat::BigFloat -> Std::String
Convert a BigFloat to a string of exponential form with specified precision (i.e., number of digits after the decimal point).
to_string_precision
Type: Std::I64 -> Minilib.Math.BigFloat::BigFloat -> Std::String
Convert a BigFloat to a string with specified precision (i.e., number of digits after the decimal point).
Types and aliases
namespace Minilib.Math.BigFloat
BigFloat
Defined as: type BigFloat = unbox struct { ...fields... }
Arbitrary-precision floating point number.
It is interpreted as mantissa * 2 ^ exponent.
field int
Type: Minilib.Math.BigInt::BigInt
field exp
Type: Std::I64
NOTE: @int.@nat might have trailing zeros.
Traits and aliases
Trait implementations
impl Minilib.Math.BigFloat::BigFloat : Minilib.Math.Types::One
impl Minilib.Math.BigFloat::BigFloat : Std::Add
impl Minilib.Math.BigFloat::BigFloat : Std::Div
impl Minilib.Math.BigFloat::BigFloat : Std::Eq
impl Minilib.Math.BigFloat::BigFloat : Std::FromString
Converts a string to BigFloat with the precision estimated from the string.