1 /*
2 * Lowest Level MPI Algorithms
3 * (C) 1999-2008,2013 Jack Lloyd
4 *     2006 Luca Piccarreta
5 *
6 * Botan is released under the Simplified BSD License (see license.txt)
7 */
8 
9 #ifndef BOTAN_MP_WORD_MULADD_H_
10 #define BOTAN_MP_WORD_MULADD_H_
11 
12 #include <botan/types.h>
13 #include <botan/mul128.h>
14 
15 namespace Botan {
16 
17 #if (BOTAN_MP_WORD_BITS == 32)
18   typedef uint64_t dword;
19   #define BOTAN_HAS_MP_DWORD
20 
21 #elif (BOTAN_MP_WORD_BITS == 64)
22   #if defined(BOTAN_TARGET_HAS_NATIVE_UINT128)
23     typedef uint128_t dword;
24     #define BOTAN_HAS_MP_DWORD
25   #else
26     // No native 128 bit integer type; use mul64x64_128 instead
27   #endif
28 
29 #else
30   #error BOTAN_MP_WORD_BITS must be 32 or 64
31 #endif
32 
33 #if defined(BOTAN_USE_GCC_INLINE_ASM)
34 
35   #if defined(BOTAN_TARGET_ARCH_IS_X86_32) && (BOTAN_MP_WORD_BITS == 32)
36     #define BOTAN_MP_USE_X86_32_ASM
37   #elif defined(BOTAN_TARGET_ARCH_IS_X86_64) && (BOTAN_MP_WORD_BITS == 64)
38     #define BOTAN_MP_USE_X86_64_ASM
39   #endif
40 
41 #endif
42 
43 /*
44 * Word Multiply/Add
45 */
word_madd2(word a,word b,word * c)46 inline word word_madd2(word a, word b, word* c)
47    {
48 #if defined(BOTAN_MP_USE_X86_32_ASM)
49    asm(R"(
50       mull %[b]
51       addl %[c],%[a]
52       adcl $0,%[carry]
53       )"
54       : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*c)
55       : "0"(a), "1"(b), [c]"g"(*c) : "cc");
56 
57    return a;
58 
59 #elif defined(BOTAN_MP_USE_X86_64_ASM)
60       asm(R"(
61          mulq %[b]
62          addq %[c],%[a]
63          adcq $0,%[carry]
64       )"
65       : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*c)
66       : "0"(a), "1"(b), [c]"g"(*c) : "cc");
67 
68    return a;
69 
70 #elif defined(BOTAN_HAS_MP_DWORD)
71    const dword s = static_cast<dword>(a) * b + *c;
72    *c = static_cast<word>(s >> BOTAN_MP_WORD_BITS);
73    return static_cast<word>(s);
74 #else
75    static_assert(BOTAN_MP_WORD_BITS == 64, "Unexpected word size");
76 
77    word hi = 0, lo = 0;
78 
79    mul64x64_128(a, b, &lo, &hi);
80 
81    lo += *c;
82    hi += (lo < *c); // carry?
83 
84    *c = hi;
85    return lo;
86 #endif
87    }
88 
89 /*
90 * Word Multiply/Add
91 */
word_madd3(word a,word b,word c,word * d)92 inline word word_madd3(word a, word b, word c, word* d)
93    {
94 #if defined(BOTAN_MP_USE_X86_32_ASM)
95    asm(R"(
96       mull %[b]
97 
98       addl %[c],%[a]
99       adcl $0,%[carry]
100 
101       addl %[d],%[a]
102       adcl $0,%[carry]
103       )"
104       : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*d)
105       : "0"(a), "1"(b), [c]"g"(c), [d]"g"(*d) : "cc");
106 
107    return a;
108 
109 #elif defined(BOTAN_MP_USE_X86_64_ASM)
110    asm(R"(
111       mulq %[b]
112       addq %[c],%[a]
113       adcq $0,%[carry]
114       addq %[d],%[a]
115       adcq $0,%[carry]
116       )"
117       : [a]"=a"(a), [b]"=rm"(b), [carry]"=&d"(*d)
118       : "0"(a), "1"(b), [c]"g"(c), [d]"g"(*d) : "cc");
119 
120    return a;
121 
122 #elif defined(BOTAN_HAS_MP_DWORD)
123    const dword s = static_cast<dword>(a) * b + c + *d;
124    *d = static_cast<word>(s >> BOTAN_MP_WORD_BITS);
125    return static_cast<word>(s);
126 #else
127    static_assert(BOTAN_MP_WORD_BITS == 64, "Unexpected word size");
128 
129    word hi = 0, lo = 0;
130 
131    mul64x64_128(a, b, &lo, &hi);
132 
133    lo += c;
134    hi += (lo < c); // carry?
135 
136    lo += *d;
137    hi += (lo < *d); // carry?
138 
139    *d = hi;
140    return lo;
141 #endif
142    }
143 
144 }
145 
146 #endif
147