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ComputeFHE 1.0
General-Purpose Privacy-Preserving Computation Library for TFHE
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Represents an encrypted fixed-point number. More...
#include <Efixedpoint.h>


Public Member Functions | |
| Efixedpoint () | |
| Default constructor. Initializes a "zero" encrypted fixed-point value. | |
| Efixedpoint (size_t n_digits, size_t n_frac, bool is_signed) | |
| Constructs a "zero" Efixedpoint with specific bitsize. | |
| Efixedpoint (double d, size_t n_digits, size_t n_frac, bool is_signed) | |
| Constructs and encrypts a plaintext double. | |
| Efixedpoint (const FixedPoint &fp, size_t n_frac, bool is_signed) | |
| Wraps an existing FixedPoint bit-vector as a fixed-point number. | |
| Efixedpoint (const Efixedpoint &other) | |
| Copy constructor. | |
| Efixedpoint (const Einteger &other) | |
| Conversion constructor from an Einteger. The resulting fixed-point number will have a fractional part of 0 bits. | |
| size_t | getFracSize () const |
| Gets the number of bits used for the fractional part. | |
| void | setFracSize (size_t) |
| Manually adjusts the fractional size metadata. | |
| virtual const Einteger | operator== (const Efixedpoint &) const |
| Encrypted equality comparison (ciphertext-ciphertext). | |
| virtual const Einteger | operator!= (const Efixedpoint &) const |
| Encrypted inequality comparison (ciphertext-ciphertext). | |
| virtual const Einteger | operator> (const Efixedpoint &) const |
| Encrypted greater-than comparison (ciphertext-ciphertext). | |
| virtual const Einteger | operator>= (const Efixedpoint &) const |
| Encrypted greater-than-or-equal comparison (ciphertext-ciphertext). | |
| virtual const Einteger | operator< (const Efixedpoint &) const |
| Encrypted less-than comparison (ciphertext-ciphertext). | |
| virtual const Einteger | operator<= (const Efixedpoint &) const |
| Encrypted less-than-or-equal comparison (ciphertext-ciphertext). | |
| virtual const Einteger | operator== (double) const |
| Encrypted equality comparison with plaintext double. | |
| virtual const Einteger | operator!= (double) const |
| Encrypted inequality comparison with plaintext double. | |
| virtual const Einteger | operator> (double) const |
| Encrypted greater-than comparison with plaintext double. | |
| virtual const Einteger | operator>= (double) const |
| Encrypted greater-than-or-equal comparison with plaintext double. | |
| virtual const Einteger | operator< (double) const |
| Encrypted less-than comparison with plaintext double. | |
| virtual const Einteger | operator<= (double) const |
| Encrypted less-than-or-equal comparison with plaintext double. | |
| virtual const Efixedpoint | operator+ (const Efixedpoint &) const |
| Encrypted addition (ciphertext-ciphertext). | |
| virtual const Efixedpoint | operator+= (const Efixedpoint &) |
| Encrypted addition assignment (ciphertext-ciphertext). | |
| virtual const Efixedpoint | operator- (const Efixedpoint &) const |
| Encrypted subtraction (ciphertext-ciphertext). | |
| virtual const Efixedpoint | operator-= (const Efixedpoint &) |
| Encrypted subtraction assignment (ciphertext-ciphertext). | |
| virtual const Efixedpoint | operator* (const Efixedpoint &) const |
| Encrypted multiplication (ciphertext-ciphertext). Resulting frac_size is sum of inputs. | |
| virtual const Efixedpoint | operator*= (const Efixedpoint &) |
| Encrypted multiplication assignment (ciphertext-ciphertext). | |
| virtual const Efixedpoint | operator/ (const Efixedpoint &) const |
| Encrypted division (ciphertext-ciphertext). | |
| virtual const Efixedpoint | operator/= (const Efixedpoint &) |
| Encrypted division assignment (ciphertext-ciphertext). | |
| virtual const Efixedpoint | operator+ (double) const |
| Encrypted addition with plaintext double. | |
| virtual const Efixedpoint | operator+= (double) |
| Encrypted addition assignment with plaintext double. | |
| virtual const Efixedpoint | operator- (double) const |
| Encrypted subtraction with plaintext double. | |
| virtual const Efixedpoint | operator-= (double) |
| Encrypted subtraction assignment with plaintext double. | |
| virtual const Efixedpoint | operator* (double) const |
| Encrypted multiplication with plaintext double. | |
| virtual const Efixedpoint | operator*= (double) |
| Encrypted multiplication assignment with plaintext double. | |
| virtual const Efixedpoint | operator/ (double) const |
| Encrypted division with plaintext double. | |
| virtual const Efixedpoint | operator/= (double) |
| Encrypted division assignment with plaintext double. | |
| const Efixedpoint | operator- () const |
| Encrypted unary negation. | |
| const Efixedpoint | operator++ () |
| Pre-increment. | |
| const Efixedpoint | operator++ (int) |
| Post-increment. | |
| const Efixedpoint | operator-- () |
| Pre-decrement. | |
| const Efixedpoint | operator-- (int) |
| Post-decrement. | |
| const Efixedpoint | operator<< (int) const |
| Bitwise left shift. | |
| const Efixedpoint | operator<<= (int) |
| Bitwise left shift assignment. | |
| const Efixedpoint | operator>> (int) const |
| Bitwise right shift. | |
| const Efixedpoint | operator>>= (int) |
| Bitwise right shift assignment. | |
| Efixedpoint & | operator= (const Efixedpoint &) |
| Assignment from another Efixedpoint. | |
| Efixedpoint & | operator= (double) |
| Assignment from a plaintext double (encrypts the value). | |
| virtual | operator double () const |
| Explicit conversion to a decrypted double. | |
| Einteger | toInteger () const |
| Converts fixed-point to integer by truncating the fractional part. | |
| virtual const Einteger | operator== (const Einteger &) const |
| Encrypted equality comparison with another Einteger. | |
| virtual const Einteger | operator== (uint64_t) const |
Encrypted equality comparison with a plaintext uint64_t. | |
| virtual const Einteger | operator!= (const Einteger &) const |
| Encrypted inequality comparison with another Einteger. | |
| virtual const Einteger | operator!= (uint64_t) const |
Encrypted inequality comparison with a plaintext uint64_t. | |
| virtual const Einteger | operator> (const Einteger &) const |
| Encrypted greater-than comparison with another Einteger. | |
| virtual const Einteger | operator> (uint64_t) const |
Encrypted greater-than comparison with a plaintext uint64_t. | |
| virtual const Einteger | operator>= (const Einteger &) const |
| Encrypted greater-than-or-equal comparison with another Einteger. | |
| virtual const Einteger | operator>= (uint64_t) const |
Encrypted greater-than-or-equal comparison with a plaintext uint64_t. | |
| virtual const Einteger | operator< (const Einteger &) const |
| Encrypted less-than comparison with another Einteger. | |
| virtual const Einteger | operator< (uint64_t) const |
Encrypted less-than comparison with a plaintext uint64_t. | |
| virtual const Einteger | operator<= (const Einteger &) const |
| Encrypted less-than-or-equal comparison with another Einteger. | |
| virtual const Einteger | operator<= (uint64_t) const |
Encrypted less-than-or-equal comparison with a plaintext uint64_t. | |
| virtual const Einteger | operator+ (const Einteger &) const |
| Encrypted addition with another Einteger. | |
| virtual const Einteger | operator+ (uint64_t) const |
Encrypted addition with a plaintext uint64_t. | |
| virtual const Einteger | operator+= (const Einteger &) |
| Encrypted addition assignment with another Einteger. | |
| virtual const Einteger | operator+= (uint64_t) |
Encrypted addition assignment with a plaintext uint64_t. | |
| virtual const Einteger | operator- (const Einteger &) const |
| Encrypted subtraction with another Einteger. | |
| virtual const Einteger | operator- (uint64_t) const |
Encrypted subtraction with a plaintext uint64_t. | |
| const Einteger | operator- () const |
| Encrypted unary negation (two's complement). | |
| virtual const Einteger | operator-= (const Einteger &) |
| Encrypted subtraction assignment with another Einteger. | |
| virtual const Einteger | operator-= (uint64_t) |
Encrypted subtraction assignment with a plaintext uint64_t. | |
| virtual const Einteger | operator* (const Einteger &) const |
| Encrypted multiplication with another Einteger. | |
| virtual const Einteger | operator* (uint64_t) const |
Encrypted multiplication with a plaintext uint64_t. | |
| virtual const Einteger | operator*= (const Einteger &) |
| Encrypted multiplication assignment with another Einteger. | |
| virtual const Einteger | operator*= (uint64_t) |
Encrypted multiplication assignment with a plaintext uint64_t. | |
| virtual const Einteger | operator/ (const Einteger &) const |
| Encrypted division with another Einteger. | |
| virtual const Einteger | operator/ (uint64_t) const |
Encrypted division with a plaintext uint64_t. | |
| virtual const Einteger | operator/= (const Einteger &) |
| Encrypted division assignment with another Einteger. | |
| virtual const Einteger | operator/= (uint64_t) |
Encrypted division assignment with a plaintext uint64_t. | |
Public Member Functions inherited from computefhe::Einteger | |
| Einteger () | |
| Default constructor. Initializes an empty or zero-valued encrypted integer. | |
| Einteger (int64_t d) | |
Constructs an Einteger from a plaintext int64_t. | |
| Einteger (size_t n_digits, bool is_signed) | |
| Constructs an Einteger with a specified number of bits and signedness. | |
| Einteger (int64_t d, size_t n_digits) | |
Constructs an Einteger from a plaintext int64_t with a specified number of bits. | |
| Einteger (uint64_t d, size_t n_digits) | |
Constructs an Einteger from a plaintext uint64_t with a specified number of bits. | |
| Einteger (const FixedPoint &fp, bool is_signed) | |
Constructs an Einteger from an existing FixedPoint object. | |
| Einteger (const Einteger &other) | |
| Copy constructor. | |
| virtual | ~Einteger () |
| Destructor. | |
| const FixedPoint & | getData () const |
Gets the underlying FixedPoint data. | |
| size_t | getSize () const |
| Gets the number of bits used to represent the encrypted integer. | |
| bool | isSigned () const |
| Checks if the encrypted integer is signed. | |
| virtual const Einteger | operator% (const Einteger &) const |
| Encrypted modulo with another Einteger. | |
| virtual const Einteger | operator%= (const Einteger &) |
| Encrypted modulo assignment with another Einteger. | |
| virtual const Einteger | operator% (uint64_t) const |
Encrypted modulo with a plaintext uint64_t. | |
| virtual const Einteger | operator%= (uint64_t) |
Encrypted modulo assignment with a plaintext uint64_t. | |
| const Einteger | operator- () const |
| Encrypted unary negation (two's complement). | |
| virtual const Einteger | operator& (const Einteger &) const |
| Encrypted bitwise AND with another Einteger. | |
| virtual const Einteger | operator&= (const Einteger &) |
| Encrypted bitwise AND assignment with another Einteger. | |
| virtual const Einteger | operator| (const Einteger &) const |
| Encrypted bitwise OR with another Einteger. | |
| virtual const Einteger | operator|= (const Einteger &) |
| Encrypted bitwise OR assignment with another Einteger. | |
| virtual const Einteger | operator^ (const Einteger &) const |
| Encrypted bitwise XOR with another Einteger. | |
| virtual const Einteger | operator^= (const Einteger &) |
| Encrypted bitwise XOR assignment with another Einteger. | |
| virtual const Einteger | operator& (uint64_t) const |
Encrypted bitwise AND with a plaintext uint64_t. | |
| virtual const Einteger | operator&= (uint64_t) |
Encrypted bitwise AND assignment with a plaintext uint64_t. | |
| virtual const Einteger | operator| (uint64_t) const |
Encrypted bitwise OR with a plaintext uint64_t. | |
| virtual const Einteger | operator|= (uint64_t) |
Encrypted bitwise OR assignment with a plaintext uint64_t. | |
| virtual const Einteger | operator^ (uint64_t) const |
Encrypted bitwise XOR with a plaintext uint64_t. | |
| virtual const Einteger | operator^= (uint64_t) |
Encrypted bitwise XOR assignment with a plaintext uint64_t. | |
| virtual const Einteger | operator! () const |
| Encrypted logical NOT. | |
| virtual const Einteger | operator~ () const |
| Encrypted bitwise NOT (one's complement). | |
| virtual const Einteger | operator&& (const Einteger &) const |
| Encrypted logical AND with another Einteger. | |
| virtual const Einteger | operator&& (uint64_t) const |
Encrypted logical AND with a plaintext uint64_t. | |
| virtual const Einteger | operator|| (const Einteger &) const |
| Encrypted logical OR with another Einteger. | |
| virtual const Einteger | operator|| (uint64_t) const |
Encrypted logical OR with a plaintext uint64_t. | |
| const Einteger | operator++ () |
| Pre-increment operator. Increments the encrypted integer by one. | |
| const Einteger | operator++ (int) |
| Post-increment operator. Increments the encrypted integer by one. | |
| const Einteger | operator-- () |
| Pre-decrement operator. Decrements the encrypted integer by one. | |
| const Einteger | operator-- (int) |
| Post-decrement operator. Decrements the encrypted integer by one. | |
| const Einteger | operator<< (int) const |
| Encrypted left shift. | |
| const Einteger | operator<<= (int) |
| Encrypted left shift assignment. | |
| const Einteger | operator>> (int) const |
| Encrypted right shift. | |
| const Einteger | operator>>= (int) |
| Encrypted right shift assignment. | |
| Einteger & | operator= (const Einteger &) |
| Assignment operator from another Einteger. | |
| Einteger & | operator= (uint64_t) |
Assignment operator from a plaintext uint64_t. | |
| virtual | operator bool () const |
| Explicit conversion to decrypted boolean. | |
| virtual | operator int8_t () const |
Explicit conversion to decrypted int8_t. | |
| virtual | operator uint8_t () const |
Explicit conversion to decrypted uint8_t. | |
| virtual | operator int16_t () const |
Explicit conversion to decrypted int16_t. | |
| virtual | operator uint16_t () const |
Explicit conversion to decrypted uint16_t. | |
| virtual | operator int32_t () const |
Explicit conversion to decrypted int32_t. | |
| virtual | operator uint32_t () const |
Explicit conversion to decrypted uint32_t. | |
| virtual | operator int64_t () const |
Explicit conversion to decrypted int64_t. | |
| virtual | operator uint64_t () const |
Explicit conversion to decrypted uint64_t. | |
| template<class Archive > | |
| void | save (Archive &ar, std::uint32_t const version) const |
| template<class Archive > | |
| void | load (Archive &ar, std::uint32_t const version) |
| std::string | SerializedObjectName () const override |
Static Protected Member Functions | |
| static FixedPoint | double2fp (double d, size_t n_digits, size_t n_frac) |
| static void | promote (const Efixedpoint &a, const Efixedpoint &b, FixedPoint &a_out, FixedPoint &b_out, size_t &n_digits_out, size_t &n_frac_out, bool &sign_out) |
| static FixedPoint | promote (const Efixedpoint &a, size_t n_digits, size_t n_frac) |
Static Protected Member Functions inherited from computefhe::Einteger | |
| static int64_t | sign_extend (uint64_t d, size_t n_digits) |
| static bool | promote (const Einteger &a, const Einteger &b, FixedPoint &a_out, FixedPoint &b_out) |
Protected Attributes | |
| size_t | frac_size |
Protected Attributes inherited from computefhe::Einteger | |
| FixedPoint | data |
| size_t | size |
| bool | sign |
Friends | |
| ostream & | operator<< (ostream &out, const Efixedpoint &obj) |
| Decrypts and outputs the fixed-point value to a stream. | |
| const Einteger | operator== (double a, const Efixedpoint &b) |
| Plaintext-ciphertext equality comparison. | |
| const Einteger | operator!= (double a, const Efixedpoint &b) |
| Plaintext-ciphertext inequality comparison. | |
| const Einteger | operator> (double a, const Efixedpoint &b) |
| Plaintext-ciphertext greater-than comparison. | |
| const Einteger | operator>= (double a, const Efixedpoint &b) |
| Plaintext-ciphertext greater-than-or-equal comparison. | |
| const Einteger | operator< (double a, const Efixedpoint &b) |
| Plaintext-ciphertext less-than comparison. | |
| const Einteger | operator<= (double a, const Efixedpoint &b) |
| Plaintext-ciphertext less-than-or-equal comparison. | |
| const Efixedpoint | operator+ (double a, const Efixedpoint &b) |
| Plaintext-ciphertext addition. | |
| const Efixedpoint | operator- (double a, const Efixedpoint &b) |
| Plaintext-ciphertext subtraction. | |
| const Efixedpoint | operator* (double a, const Efixedpoint &b) |
| Plaintext-ciphertext multiplication. | |
| const Efixedpoint | operator/ (double a, const Efixedpoint &b) |
| Plaintext-ciphertext division. | |
| const Einteger | operator== (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t equality comparison with Einteger. | |
| const Einteger | operator!= (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t inequality comparison with Einteger. | |
| const Einteger | operator> (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t greater-than comparison with Einteger. | |
| const Einteger | operator>= (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t greater-than-or-equal comparison with Einteger. | |
| const Einteger | operator< (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t less-than comparison with Einteger. | |
| const Einteger | operator<= (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t less-than-or-equal comparison with Einteger. | |
| const Einteger | operator+ (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t addition with Einteger. | |
| const Einteger | operator- (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t subtraction with Einteger. | |
| const Einteger | operator* (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t multiplication with Einteger. | |
| const Einteger | operator/ (uint64_t a, const Einteger &b) |
Friend operator for plaintext uint64_t division with Einteger. | |
Additional Inherited Members | |
Static Public Member Functions inherited from computefhe::Einteger | |
| static FixedPoint | promote (const Einteger &a, size_t s) |
| Promotes or truncates an Einteger to a specific bit size. | |
| static uint32_t | SerializedVersion () |
Protected Member Functions inherited from computefhe::Einteger | |
| void | _sync_var () |
| void | _desync_var () |
Static Protected Attributes inherited from computefhe::Einteger | |
| static FixedPoint | cached_divident |
| static FixedPoint | cached_divisor |
| static FixedPoint | cached_quotient |
| static FixedPoint | cached_remainder |
Represents an encrypted fixed-point number.
Inherits from Einteger and uses a scaling factor (2^frac_size) to represent fractional values. This class allows for high-level arithmetic and comparison on encrypted real numbers, supporting both signed and unsigned logic.
Constructs a "zero" Efixedpoint with specific bitsize.
| n_digits | Total number of bits (integer + fractional). |
| n_frac | Number of bits reserved for the fractional part. |
| is_signed | Whether to treat the value as a signed two's complement number. |
Constructs and encrypts a plaintext double.
| d | The plaintext value to encrypt. |
| n_digits | Total bit width. |
| n_frac | Fractional bit width. |
| is_signed | Signedness of the encrypted representation. |
| computefhe::Efixedpoint::Efixedpoint | ( | const FixedPoint & | fp, |
| size_t | n_frac, | ||
| bool | is_signed | ||
| ) |
Wraps an existing FixedPoint bit-vector as a fixed-point number.
| fp | The underlying encrypted bit-vector. |
| n_frac | Fractional bit width. |
| is_signed | Signedness. |
| size_t computefhe::Efixedpoint::getFracSize | ( | ) | const |
Gets the number of bits used for the fractional part.
Explicit conversion to a decrypted double.
Reimplemented from computefhe::Einteger.
Encrypted inequality comparison with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
|
virtual |
Encrypted inequality comparison with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted multiplication with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted multiplication with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted multiplication assignment with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted multiplication assignment with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted addition with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted addition with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted addition assignment with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted addition assignment with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted unary negation (two's complement).
Encrypted subtraction with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted subtraction with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted subtraction assignment with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted subtraction assignment with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted division with another Einteger.
| other | The other encrypted integer (divisor). |
Reimplemented from computefhe::Einteger.
Encrypted division with a plaintext uint64_t.
| val | The plaintext unsigned integer (divisor). |
Reimplemented from computefhe::Einteger.
Encrypted division assignment with another Einteger.
| other | The other encrypted integer (divisor). |
Reimplemented from computefhe::Einteger.
Encrypted division assignment with a plaintext uint64_t.
| val | The plaintext unsigned integer (divisor). |
Reimplemented from computefhe::Einteger.
Encrypted less-than comparison with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted less-than comparison with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted less-than-or-equal comparison with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted less-than-or-equal comparison with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted equality comparison with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted equality comparison with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted greater-than comparison with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted greater-than comparison with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Encrypted greater-than-or-equal comparison with another Einteger.
| other | The other encrypted integer. |
Reimplemented from computefhe::Einteger.
Encrypted greater-than-or-equal comparison with a plaintext uint64_t.
| val | The plaintext unsigned integer. |
Reimplemented from computefhe::Einteger.
Manually adjusts the fractional size metadata.
| n | New fractional bit count. |
Plaintext-ciphertext inequality comparison.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
|
friend |
Plaintext-ciphertext multiplication.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
|
friend |
Plaintext-ciphertext addition.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
|
friend |
Plaintext-ciphertext subtraction.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
|
friend |
Plaintext-ciphertext division.
| a | The plaintext double value. |
| b | The encrypted fixed-point value (divisor). |
Plaintext-ciphertext less-than comparison.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
|
friend |
Decrypts and outputs the fixed-point value to a stream.
| out | The output stream. |
| obj | The Efixedpoint object to decrypt and print. |
Plaintext-ciphertext less-than-or-equal comparison.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
Plaintext-ciphertext equality comparison.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
Plaintext-ciphertext greater-than comparison.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |
b).
Plaintext-ciphertext greater-than-or-equal comparison.
| a | The plaintext double value. |
| b | The encrypted fixed-point value. |