1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
use crate::integer::ciphertext::RadixCiphertext;
use crate::integer::ServerKey;
use crate::shortint::PBSOrderMarker;

impl ServerKey {
    /// Computes homomorphically the subtraction between ct_left and ct_right.
    ///
    /// # Example
    ///
    /// ```rust
    /// use tfhe::integer::gen_keys_radix;
    /// use tfhe::shortint::parameters::PARAM_MESSAGE_2_CARRY_2;
    ///
    /// // We have 4 * 2 = 8 bits of message
    /// let size = 4;
    /// let (cks, sks) = gen_keys_radix(&PARAM_MESSAGE_2_CARRY_2, size);
    ///
    /// let msg_1 = 120u8;
    /// let msg_2 = 181u8;
    ///
    /// // Encrypt two messages:
    /// let mut ctxt_1 = cks.encrypt(msg_1 as u64);
    /// let mut ctxt_2 = cks.encrypt(msg_2 as u64);
    ///
    /// // Compute homomorphically a subtraction
    /// let ct_res = sks.smart_sub_parallelized(&mut ctxt_1, &mut ctxt_2);
    ///
    /// // Decrypt:
    /// let res: u64 = cks.decrypt(&ct_res);
    /// assert_eq!(msg_1.wrapping_sub(msg_2) as u64, res);
    /// ```
    pub fn smart_sub_parallelized<PBSOrder: PBSOrderMarker>(
        &self,
        ctxt_left: &mut RadixCiphertext<PBSOrder>,
        ctxt_right: &mut RadixCiphertext<PBSOrder>,
    ) -> RadixCiphertext<PBSOrder> {
        // If the ciphertext cannot be negated without exceeding the capacity of a ciphertext
        if !self.is_neg_possible(ctxt_right) {
            self.full_propagate_parallelized(ctxt_right);
        }

        // If the ciphertext cannot be added together without exceeding the capacity of a ciphertext
        if !self.is_sub_possible(ctxt_left, ctxt_right) {
            rayon::join(
                || self.full_propagate_parallelized(ctxt_left),
                || self.full_propagate_parallelized(ctxt_right),
            );
        }

        let mut result = ctxt_left.clone();
        self.unchecked_sub_assign(&mut result, ctxt_right);

        result
    }

    /// Computes homomorphically the subtraction between ct_left and ct_right.
    ///
    /// # Example
    ///
    /// ```rust
    /// use tfhe::integer::gen_keys_radix;
    /// use tfhe::shortint::parameters::PARAM_MESSAGE_2_CARRY_2;
    ///
    /// // We have 4 * 2 = 8 bits of message
    /// let size = 4;
    /// let (cks, sks) = gen_keys_radix(&PARAM_MESSAGE_2_CARRY_2, size);
    ///
    /// let msg_1 = 120u8;
    /// let msg_2 = 181u8;
    ///
    /// // Encrypt two messages:
    /// let mut ctxt_1 = cks.encrypt(msg_1 as u64);
    /// let mut ctxt_2 = cks.encrypt(msg_2 as u64);
    ///
    /// // Compute homomorphically a subtraction
    /// sks.smart_sub_assign_parallelized(&mut ctxt_1, &mut ctxt_2);
    ///
    /// // Decrypt:
    /// let res: u64 = cks.decrypt(&ctxt_1);
    /// assert_eq!(msg_1.wrapping_sub(msg_2) as u64, res);
    /// ```
    pub fn smart_sub_assign_parallelized<PBSOrder: PBSOrderMarker>(
        &self,
        ctxt_left: &mut RadixCiphertext<PBSOrder>,
        ctxt_right: &mut RadixCiphertext<PBSOrder>,
    ) {
        // If the ciphertext cannot be negated without exceeding the capacity of a ciphertext
        if !self.is_neg_possible(ctxt_right) {
            self.full_propagate_parallelized(ctxt_right);
        }

        // If the ciphertext cannot be added together without exceeding the capacity of a ciphertext
        if !self.is_sub_possible(ctxt_left, ctxt_right) {
            rayon::join(
                || self.full_propagate_parallelized(ctxt_left),
                || self.full_propagate_parallelized(ctxt_right),
            );
        }

        self.unchecked_sub_assign(ctxt_left, ctxt_right);
    }

    /// Computes homomorphically the subtraction between ct_left and ct_right.
    ///
    /// This function, like all "default" operations (i.e. not smart, checked or unchecked), will
    /// check that the input ciphertexts block carries are empty and clears them if it's not the
    /// case and the operation requires it. It outputs a ciphertext whose block carries are always
    /// empty.
    ///
    /// This means that when using only "default" operations, a given operation (like add for
    /// example) has always the same performance characteristics from one call to another and
    /// guarantees correctness by pre-emptively clearing carries of output ciphertexts.
    ///
    /// # Example
    ///
    /// ```rust
    /// use tfhe::integer::gen_keys_radix;
    /// use tfhe::shortint::parameters::PARAM_MESSAGE_2_CARRY_2;
    ///
    /// // We have 4 * 2 = 8 bits of message
    /// let size = 4;
    /// let (cks, sks) = gen_keys_radix(&PARAM_MESSAGE_2_CARRY_2, size);
    ///
    /// let msg_1 = 120u8;
    /// let msg_2 = 181u8;
    ///
    /// // Encrypt two messages:
    /// let ctxt_1 = cks.encrypt(msg_1 as u64);
    /// let ctxt_2 = cks.encrypt(msg_2 as u64);
    ///
    /// // Compute homomorphically a subtraction
    /// let ct_res = sks.sub_parallelized(&ctxt_1, &ctxt_2);
    ///
    /// // Decrypt:
    /// let res: u64 = cks.decrypt(&ct_res);
    /// assert_eq!(msg_1.wrapping_sub(msg_2) as u64, res);
    /// ```
    pub fn sub_parallelized<PBSOrder: PBSOrderMarker>(
        &self,
        ctxt_left: &RadixCiphertext<PBSOrder>,
        ctxt_right: &RadixCiphertext<PBSOrder>,
    ) -> RadixCiphertext<PBSOrder> {
        let mut ct_res = ctxt_left.clone();
        self.sub_assign_parallelized(&mut ct_res, ctxt_right);
        ct_res
    }

    /// Computes homomorphically the subtraction between ct_left and ct_right.
    ///
    /// This function, like all "default" operations (i.e. not smart, checked or unchecked), will
    /// check that the input ciphertexts block carries are empty and clears them if it's not the
    /// case and the operation requires it. It outputs a ciphertext whose block carries are always
    /// empty.
    ///
    /// This means that when using only "default" operations, a given operation (like add for
    /// example) has always the same performance characteristics from one call to another and
    /// guarantees correctness by pre-emptively clearing carries of output ciphertexts.
    ///
    /// # Example
    ///
    /// ```rust
    /// use tfhe::integer::gen_keys_radix;
    /// use tfhe::shortint::parameters::PARAM_MESSAGE_2_CARRY_2;
    ///
    /// // We have 4 * 2 = 8 bits of message
    /// let size = 4;
    /// let (cks, sks) = gen_keys_radix(&PARAM_MESSAGE_2_CARRY_2, size);
    ///
    /// let msg_1 = 120u8;
    /// let msg_2 = 181u8;
    ///
    /// // Encrypt two messages:
    /// let mut ctxt_1 = cks.encrypt(msg_1 as u64);
    /// let ctxt_2 = cks.encrypt(msg_2 as u64);
    ///
    /// // Compute homomorphically a subtraction
    /// sks.sub_assign_parallelized(&mut ctxt_1, &ctxt_2);
    ///
    /// // Decrypt:
    /// let res: u64 = cks.decrypt(&ctxt_1);
    /// assert_eq!(msg_1.wrapping_sub(msg_2) as u64, res);
    /// ```
    pub fn sub_assign_parallelized<PBSOrder: PBSOrderMarker>(
        &self,
        ctxt_left: &mut RadixCiphertext<PBSOrder>,
        ctxt_right: &RadixCiphertext<PBSOrder>,
    ) {
        let mut tmp_rhs: RadixCiphertext<PBSOrder>;

        let (lhs, rhs) = match (
            ctxt_left.block_carries_are_empty(),
            ctxt_right.block_carries_are_empty(),
        ) {
            (true, true) => (ctxt_left, ctxt_right),
            (true, false) => {
                tmp_rhs = ctxt_right.clone();
                self.full_propagate_parallelized(&mut tmp_rhs);
                (ctxt_left, &tmp_rhs)
            }
            (false, true) => {
                self.full_propagate_parallelized(ctxt_left);
                (ctxt_left, ctxt_right)
            }
            (false, false) => {
                tmp_rhs = ctxt_right.clone();
                rayon::join(
                    || self.full_propagate_parallelized(ctxt_left),
                    || self.full_propagate_parallelized(&mut tmp_rhs),
                );
                (ctxt_left, &tmp_rhs)
            }
        };
        self.unchecked_sub_assign(lhs, rhs);
        self.full_propagate_parallelized(lhs);
    }
}