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All features
class BIG_INTEGER_NUMBER
Summary
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To implement NUMBER (do not use this class, see NUMBER).
Direct parents
Inherit list: INTEGER_GENERAL_NUMBER
Class invariant
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Overview
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Creation features
{ANY}
Features
{ANY}
Misc:
{ANY}
{NUMBER}
Multiplication
{NUMBER}
division
{NUMBER}
Implementation:
{NUMBER}
{ANY}
comparisons with NUMBER
{ANY}
comparisons with REAL_64
{ANY}
{NUMBER, NUMBER_TOOLS}
{ANY}
{NUMBER}
{MUTABLE_BIG_INTEGER}
{NUMBER}
{}
{ANY}
{ANY}
Implementation:
{NUMBER}
{INTEGER_GENERAL_NUMBER}
Binary operators for two NUMBERs:
{ANY}
Unary operators for two NUMBERs:
{ANY}
To know more about a NUMBER:
{ANY}
Conversions and printing:
{ANY}
To mimic NUMERIC:
{ANY}
To mix NUMBER and INTEGER_64:
{ANY}
Misc:
{ANY}
Implementation:
{NUMBER}
{NUMBER, NUMBER_TOOLS}
To implement efficient calculus
{NUMBER}
{}
To create fractions
{}
{ANY}
  • bounded_by (a_min: BIG_INTEGER_NUMBER, a_max: BIG_INTEGER_NUMBER): BIG_INTEGER_NUMBER
    A value that is equal to Current if it is between the limits set by a_min and a_max.
Maximum:
{}
Minimum:
{}
Bits:
{}
is_positive: BOOLEAN
effective function
{ANY}
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Is Current > 0 ?
is_negative: BOOLEAN
effective function
{ANY}
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Is Current < 0 ?
infix "\\" (other: NUMBER): NUMBER
effective function
{ANY}
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Remainder of division of Current by other.
infix "@\\" (other: INTEGER_64): NUMBER
effective function
{ANY}
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Remainder of division of Current by other.
hash_code: INTEGER_32
effective function
{ANY}
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The hash-code value of Current.
effective function
{ANY}
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Great Common Divisor of Current and other.
is_integer_value: BOOLEAN
is False
constant attribute
{ANY}
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force_to_real_64: REAL_64
effective function
{ANY}
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Conversion of Current in a REAL_64.
prefix "-": NUMBER
effective function
{ANY}
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Opposite of Current.
infix "+" (other: NUMBER): NUMBER
effective function
{ANY}
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Sum of Current and other.
infix "//" (other: NUMBER): NUMBER
effective function
{ANY}
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Divide Current by other (Integer division).
infix "@//" (other: INTEGER_64): NUMBER
effective function
{ANY}
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Divide Current by other (Integer division).
infix "*" (other: NUMBER): NUMBER
effective function
{ANY}
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Product of Current and other.
infix "@/" (other: INTEGER_64): NUMBER
effective function
{ANY}
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Quotient of Current and other.
infix "@+" (other: INTEGER_64): NUMBER
effective function
{ANY}
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Sum of Current and other.
infix "@*" (other: INTEGER_64): NUMBER
effective function
{ANY}
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add_with_big_integer_number (other: BIG_INTEGER_NUMBER): NUMBER
effective function
{NUMBER}
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add_with_fraction_with_big_integer_number (other: FRACTION_WITH_BIG_INTEGER_NUMBER): NUMBER
effective function
{NUMBER}
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multiply_with_big_integer_number (other: BIG_INTEGER_NUMBER): NUMBER
effective function
{NUMBER}
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multiply_with_fraction_with_big_integer_number (other: FRACTION_WITH_BIG_INTEGER_NUMBER): NUMBER
effective function
{NUMBER}
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integer_divide_integer_64_number (other: INTEGER_64_NUMBER): INTEGER_GENERAL_NUMBER
effective function
{NUMBER}
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remainder_of_divide_integer_64_number (other: INTEGER_64_NUMBER): INTEGER_GENERAL_NUMBER
effective function
{NUMBER}
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integer_divide_big_integer_number (other: BIG_INTEGER_NUMBER): INTEGER_GENERAL_NUMBER
effective function
{NUMBER}
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remainder_of_divide_big_integer_number (other: BIG_INTEGER_NUMBER): INTEGER_GENERAL_NUMBER
effective function
{NUMBER}
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gcd_with_integer_64_number (other: INTEGER_64_NUMBER): INTEGER_GENERAL_NUMBER
effective function
{NUMBER}
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inverse: NUMBER
effective function
{ANY}
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infix "@=" (other: INTEGER_64): BOOLEAN
effective function
{ANY}
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Is Current equal other ?
infix "@<" (other: INTEGER_64): BOOLEAN
effective function
{ANY}
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Is Current strictly less than other?
infix "@>" (other: INTEGER_64): BOOLEAN
effective function
{ANY}
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Is Current strictly greater than other?
infix "@>=" (other: INTEGER_64): BOOLEAN
effective function
{ANY}
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Is Current greater or equal than other?
infix "@<=" (other: INTEGER_64): BOOLEAN
effective function
{ANY}
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Is Current less or equal other?
infix "<" (other: NUMBER): BOOLEAN
effective function
{ANY}
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Is Current strictly less than other?
infix "#=" (other: REAL_64): BOOLEAN
effective function
{ANY}
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Is Current equal other?
infix "#<" (other: REAL_64): BOOLEAN
effective function
{ANY}
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Is Current strictly less than other?
infix "#<=" (other: REAL_64): BOOLEAN
effective function
{ANY}
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Is Current less or equal other?
infix "#>" (other: REAL_64): BOOLEAN
effective function
{ANY}
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Is Current strictly greater than other?
infix "#>=" (other: REAL_64): BOOLEAN
effective function
{ANY}
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Is Current greater or equal than other?
greater_with_big_integer_number (other: BIG_INTEGER_NUMBER): BOOLEAN
effective function
{NUMBER, NUMBER_TOOLS}
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greater_with_fraction_with_big_integer_number (other: FRACTION_WITH_BIG_INTEGER_NUMBER): BOOLEAN
effective function
{NUMBER, NUMBER_TOOLS}
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is_zero: BOOLEAN
is False
constant attribute
{ANY}
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Is it 0 ?
is_one: BOOLEAN
is False
constant attribute
{ANY}
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Is it 1 ?
is_equal (other: NUMBER): BOOLEAN
effective function
{ANY}
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Compares two LARGE_INTEGERs.
append_in (buffer: STRING)
effective procedure
{ANY}
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Append the equivalent of to_string at the end of buffer.
append_in_unicode (buffer: UNICODE_STRING)
effective procedure
{ANY}
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Append the equivalent of to_unicode_string at the end of buffer.
effective function
{NUMBER}
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value_length: INTEGER_32
effective function
{NUMBER}
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from_native_array (na: NATIVE_ARRAY[INTEGER_32], cap: INTEGER_32, neg: BOOLEAN)
effective procedure
{MUTABLE_BIG_INTEGER}
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put_into_mutable_big_integer (mut: MUTABLE_BIG_INTEGER)
effective procedure
{NUMBER}
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is_natural_64_: BOOLEAN
effective function
{NUMBER}
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to_natural_64_: NATURAL_64
effective function
{NUMBER}
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signed_32_to_unsigned_64 (integer_32: INTEGER_32): NATURAL_64
{}
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negative: BOOLEAN
writable attribute
{}
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capacity: INTEGER_32
writable attribute
{}
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writable attribute
{}
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effective function
{ANY}
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factorial: NUMBER
effective function
{ANY}
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effective function
{ANY}
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effective function
{ANY}
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append_decimal_in (buffer: STRING, digits: INTEGER_32, all_digits: BOOLEAN)
effective procedure
{ANY}
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Append the equivalent of to_decimal at the end of buffer.
gcd_with_big_integer_number (other: BIG_INTEGER_NUMBER): INTEGER_GENERAL_NUMBER
effective function
{NUMBER}
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integer_general_number_zero: INTEGER_GENERAL_NUMBER
once function
{INTEGER_GENERAL_NUMBER}
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integer_general_number_one: INTEGER_GENERAL_NUMBER
once function
{INTEGER_GENERAL_NUMBER}
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integer_general_number_one_negative: INTEGER_GENERAL_NUMBER
once function
{INTEGER_GENERAL_NUMBER}
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infix "-" (other: NUMBER): NUMBER
effective function
{ANY}
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Difference of Current and other.
infix "/" (other: NUMBER): NUMBER
effective function
{ANY}
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Quotient of Current and other.
infix "^" (exp: NUMBER): NUMBER
effective function
{ANY}
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Current raised to exp-th power.
infix "<=" (other: NUMBER): BOOLEAN
effective function
{ANY}
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Is Current less or equal than other?
infix ">" (other: NUMBER): BOOLEAN
effective function
{ANY}
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Is Current strictly greater than other?
infix ">=" (other: NUMBER): BOOLEAN
effective function
{ANY}
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Is Current greater or equal than other?
prefix "+": NUMBER
frozen
effective function
{ANY}
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Unary plus of Current.
is_integer_8: BOOLEAN
frozen
effective function
{ANY}
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Does Current value fit on an INTEGER_8?
is_integer_16: BOOLEAN
frozen
effective function
{ANY}
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Does Current value fit on an INTEGER_16?
is_integer_32: BOOLEAN
frozen
effective function
{ANY}
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Does Current value fit on an INTEGER?
is_integer_64: BOOLEAN
frozen
effective function
{ANY}
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Does Current value fit on an INTEGER_64?
is_natural_64: BOOLEAN
frozen
effective function
{ANY}
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Does Current value fit on a NATURAL_64?
in_range (lower: NUMBER, upper: NUMBER): BOOLEAN
effective function
{ANY}
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Return True if Current is in range [lower..upper]
compare (other: NUMBER): INTEGER_32
effective function
{ANY}
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Compare Current with other.
three_way_comparison (other: NUMBER): INTEGER_32
effective function
{ANY}
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Compare Current with other.
min (other: NUMBER): NUMBER
effective function
{ANY}
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Minimum of Current and other.
max (other: NUMBER): NUMBER
effective function
{ANY}
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Maximum of Current and other.
is_odd: BOOLEAN
effective function
{ANY}
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Is odd ?
is_even: BOOLEAN
effective function
{ANY}
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Is even ?
is_integer_general_number: BOOLEAN
frozen
effective function
{ANY}
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is_fraction_general_number: BOOLEAN
frozen
effective function
{ANY}
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fit_real: BOOLEAN
frozen
effective function
{ANY}
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to_integer_8: INTEGER_8
frozen
effective function
{ANY}
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Conversion of Current in an INTEGER_8.
to_integer_16: INTEGER_16
frozen
effective function
{ANY}
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Conversion of Current in an INTEGER_16.
to_integer_32: INTEGER_32
frozen
effective function
{ANY}
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Conversion of Current in an INTEGER_32.
to_integer_64: INTEGER_64
frozen
effective function
{ANY}
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Conversion of Current in an INTEGER.
to_natural_64: NATURAL_64
frozen
effective function
{ANY}
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Conversion of Current in a NATURAL_64.
to_string: STRING
frozen
effective function
{ANY}
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Convert the NUMBER into a new allocated STRING.
to_unicode_string: UNICODE_STRING
frozen
effective function
{ANY}
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Convert the NUMBER into a new allocated UNICODE_STRING.
to_string_format (s: INTEGER_32): STRING
frozen
effective function
{ANY}
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Same as to_string but the result is on s character and the number is right aligned.
to_unicode_string_format (s: INTEGER_32): UNICODE_STRING
frozen
effective function
{ANY}
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Same as to_unicode_string but the result is on s character and the number is right aligned.
append_in_format (str: STRING, s: INTEGER_32)
frozen
effective procedure
{ANY}
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Append the equivalent of to_string_format at the end of str.
append_in_unicode_format (str: UNICODE_STRING, s: INTEGER_32)
frozen
effective procedure
{ANY}
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Append the equivalent of to_unicode_string_format at the end of str.
to_decimal (digits: INTEGER_32, all_digits: BOOLEAN): STRING
frozen
effective function
{ANY}
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Convert Current into its decimal view.
decimal_digit: CHARACTER
frozen
effective function
{ANY}
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Gives the corresponding CHARACTER for range 0..9.
digit: CHARACTER
effective function
{ANY}
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Gives the corresponding CHARACTER for range 0..9.
divisible (other: NUMBER): BOOLEAN
effective function
{ANY}
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Is other a valid divisor for Current ?
one: NUMBER
once function
{ANY}
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The neutral element of multiplication.
zero: NUMBER
once function
{ANY}
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The neutral element of addition.
sign: INTEGER_8
frozen
effective function
{ANY}
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Sign of Current (0 or -1 or 1).
sqrt: REAL_64
effective function
{ANY}
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Compute the square routine.
log: REAL_64
frozen
effective function
{ANY}
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infix "@-" (other: INTEGER_64): NUMBER
effective function
{ANY}
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Difference of Current and other.
infix "@^" (exp: INTEGER_64): NUMBER
effective function
{ANY}
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out_in_tagged_out_memory
effective procedure
{ANY}
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Append terse printable representation of current object in tagged_out_memory.
fill_tagged_out_memory
effective procedure
{ANY}
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Append a viewable information in tagged_out_memory in order to affect the behavior of out, tagged_out, etc.
add_with_integer_64_number (other: INTEGER_64_NUMBER): NUMBER
frozen
effective function
{NUMBER}
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multiply_with_integer_64_number (other: INTEGER_64_NUMBER): NUMBER
effective function
{NUMBER}
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greater_with_integer_64_number (other: INTEGER_64_NUMBER): BOOLEAN
effective function
{NUMBER}
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max_double: NUMBER
once function
{NUMBER, NUMBER_TOOLS}
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min_double: NUMBER
once function
{NUMBER, NUMBER_TOOLS}
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mutable_register1: MUTABLE_BIG_INTEGER
once function
{NUMBER}
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mutable_register2: MUTABLE_BIG_INTEGER
once function
{NUMBER}
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mutable_register3: MUTABLE_BIG_INTEGER
once function
{NUMBER}
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mutable_register4: MUTABLE_BIG_INTEGER
once function
{NUMBER}
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string_buffer: STRING
once function
{}
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unicode_string_buffer: UNICODE_STRING
once function
{}
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from_two_integer (n: INTEGER_64, d: INTEGER_64): NUMBER
effective function
{}
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from_two_integer_general_number (n: INTEGER_GENERAL_NUMBER, d: INTEGER_GENERAL_NUMBER): NUMBER
effective function
{}
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from_integer_and_integer_general_number (n: INTEGER_64, d: INTEGER_GENERAL_NUMBER): NUMBER
effective function
{}
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from_integer_general_number_and_integer (n: INTEGER_GENERAL_NUMBER, d: INTEGER_64): NUMBER
effective function
{}
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bounded_by (a_min: BIG_INTEGER_NUMBER, a_max: BIG_INTEGER_NUMBER): BIG_INTEGER_NUMBER
effective function
{ANY}
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A value that is equal to Current if it is between the limits set by a_min and a_max.
Maximum_character_code: INTEGER_16
{}
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Largest supported code for CHARACTER values.
Maximum_integer_8: INTEGER_8
is 127
constant attribute
{}
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Largest supported value of type INTEGER_8.
Maximum_integer_16: INTEGER_16
is 32767
constant attribute
{}
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Largest supported value of type INTEGER_16.
Maximum_integer: INTEGER_32
is 2147483647
constant attribute
{}
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Largest supported value of type INTEGER/INTEGER_32.
Maximum_integer_32: INTEGER_32
is 2147483647
constant attribute
{}
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Largest supported value of type INTEGER/INTEGER_32.
Maximum_integer_64: INTEGER_64
is 9223372036854775807
constant attribute
{}
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Largest supported value of type INTEGER_64.
Maximum_real_32: REAL_32
is {REAL_32 3.4028234663852885981170418348451692544e+38}
constant attribute
{}
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Largest non-special (no NaNs nor infinity) supported value of type REAL_32.
Maximum_real: REAL_64
{}
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Largest non-special (no NaNs nor infinity) supported value of type REAL.
Maximum_real_64: REAL_64
{}
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Largest non-special (no NaNs nor infinity) supported value of type REAL.
Maximum_real_80: REAL_EXTENDED
{}
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Largest supported value of type REAL_80.
Minimum_character_code: INTEGER_16
{}
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Smallest supported code for CHARACTER values.
Minimum_integer_8: INTEGER_8
is -128
constant attribute
{}
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Smallest supported value of type INTEGER_8.
Minimum_integer_16: INTEGER_16
is -32768
constant attribute
{}
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Smallest supported value of type INTEGER_16.
Minimum_integer: INTEGER_32
is -2147483648
constant attribute
{}
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Smallest supported value of type INTEGER/INTEGER_32.
Minimum_integer_32: INTEGER_32
is -2147483648
constant attribute
{}
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Smallest supported value of type INTEGER/INTEGER_32.
Minimum_integer_64: INTEGER_64
is -9223372036854775808
constant attribute
{}
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Smallest supported value of type INTEGER_64.
Minimum_real_32: REAL_32
is {REAL_32 -3.40282346638528859811704183484516925440e+38}
constant attribute
{}
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Smallest non-special (no NaNs nor infinity) supported value of type REAL_32.
Minimum_real: REAL_64
{}
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Smallest non-special (no NaNs nor infinity) supported value of type REAL.
Minimum_real_64: REAL_64
{}
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Smallest non-special (no NaNs nor infinity) supported value of type REAL.
Minimum_real_80: REAL_64
{}
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Smallest supported value of type REAL_80.
Boolean_bits: INTEGER_32
{}
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Number of bits in a value of type BOOLEAN.
Character_bits: INTEGER_32
{}
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Number of bits in a value of type CHARACTER.
Integer_bits: INTEGER_32
{}
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Number of bits in a value of type INTEGER.
Real_bits: INTEGER_32
is 64
constant attribute
{}
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Number of bits in a value of type REAL.
Pointer_bits: INTEGER_32
{}
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Number of bits in a value of type POINTER.