diffsl 0.9.4

A compiler for a domain-specific language for ordinary differential equations (ODE).
Documentation 
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


#define __ENZYME_MPFR_DOUBLE_BINOP(LLVM_OP_NAME, MPFR_FUNC_NAME,               \
                                   ROUNDING_MODE)                              \
  __ENZYME_MPFR_BIN(binop, LLVM_OP_NAME, MPFR_FUNC_NAME, 64_52, double, d,     \
                    double, d, double, d, ROUNDING_MODE)

#define __ENZYME_MPFR_DOUBLE_BINFUNCINTR(LLVM_OP_NAME, MPFR_FUNC_NAME,         \
                                         ROUNDING_MODE)                        \
  __ENZYME_MPFR_BIN(intr, LLVM_OP_NAME, MPFR_FUNC_NAME, 64_52, double, d,      \
                    double, d, double, d, ROUNDING_MODE)                       \
  __ENZYME_MPFR_BIN(intr, llvm_##LLVM_OP_NAME##_f64, MPFR_FUNC_NAME, 64_52,    \
                    double, d, double, d, double, d, ROUNDING_MODE)            \
  __ENZYME_MPFR_BIN(func, LLVM_OP_NAME, MPFR_FUNC_NAME, 64_52, double, d,      \
                    double, d, double, d, ROUNDING_MODE)                       \
  __ENZYME_MPFR_BIN(func, __##LLVM_OP_NAME##_finite, MPFR_FUNC_NAME, 64_52,    \
                    double, d, double, d, double, d, ROUNDING_MODE)

#define __ENZYME_MPFR_DOUBLE_BINOP_DEFAULT_ROUNDING(LLVM_OP_NAME,              \
                                                    MPFR_FUNC_NAME)            \
  __ENZYME_MPFR_DOUBLE_BINOP(LLVM_OP_NAME, MPFR_FUNC_NAME,                     \
                             __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)

#define __ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(LLVM_OP_NAME,        \
                                                          MPFR_FUNC_NAME)      \
  __ENZYME_MPFR_DOUBLE_BINFUNCINTR(LLVM_OP_NAME, MPFR_FUNC_NAME,               \
                                   __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)

#define __ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(LLVM_NAME, MPFR_NAME)                \
  __ENZYME_MPFR_SINGOP(intr, LLVM_NAME, MPFR_NAME, 64_52, double, d, double,   \
                       d, __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)                 \
  __ENZYME_MPFR_SINGOP(intr, llvm_##LLVM_NAME##_f64, MPFR_NAME, 64_52, double, \
                       d, double, d, __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)      \
  __ENZYME_MPFR_SINGOP(func, LLVM_NAME, MPFR_NAME, 64_52, double, d, double,   \
                       d, __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)                 \
  __ENZYME_MPFR_SINGOP(func, __##LLVM_NAME##_finite, MPFR_NAME, 64_52, double, \
                       d, double, d, __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)      \
  __ENZYME_MPFR_SINGOP(TYPE, LLVM_NAME, MPFR_NAME, 32_23, float, d, float, d,  \
                       __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)                    \
  __ENZYME_MPFR_SINGOP(intr, LLVM_NAME, MPFR_NAME, 32_23, float, d, float, d,  \
                       __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)                    \
  __ENZYME_MPFR_SINGOP(intr, llvm_##LLVM_NAME##_f32, MPFR_NAME, 32_23, float,  \
                       d, float, d, __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)       \
  __ENZYME_MPFR_SINGOP(func, LLVM_NAME, MPFR_NAME, 32_23, float, d, float, d,  \
                       __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)

#define __ENZYME_MPFR_FCMP(NAME, ORDERED, CMP)                                 \
  __ENZYME_MPFR_FCMP_IMPL(NAME, ORDERED, CMP, 64_52, double, d,                \
                          __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)                 \
  __ENZYME_MPFR_FCMP_IMPL(NAME, ORDERED, CMP, 32_23, double, d,                \
                          __ENZYME_MPFR_DEFAULT_ROUNDING_MODE)

// Binary operations
__ENZYME_MPFR_DOUBLE_BINOP_DEFAULT_ROUNDING(fmul, mul);
__ENZYME_MPFR_DOUBLE_BINOP_DEFAULT_ROUNDING(fadd, add);
__ENZYME_MPFR_DOUBLE_BINOP_DEFAULT_ROUNDING(fsub, sub);
__ENZYME_MPFR_DOUBLE_BINOP_DEFAULT_ROUNDING(fdiv, div);
__ENZYME_MPFR_DOUBLE_BINOP_DEFAULT_ROUNDING(frem, remainder);

__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(pow, pow);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(copysign, copysign);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(fdim, dim);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(remainder, remainder);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(atan2, atan2);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(hypot, hypot);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(fmod, fmod);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(maxnum, max);
__ENZYME_MPFR_DOUBLE_BINFUNCINTR_DEFAULT_ROUNDING(minnum, min);

__ENZYME_MPFR_BIN_INT(intr, llvm_powi_f64_i32, pow_si, 64_52, double, d, double,
                      d, int32_t, __ENZYME_MPFR_DEFAULT_ROUNDING_MODE);

// Unary operations
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(sqrt, sqrt);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(atanh, atanh);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(acosh, acosh);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(asinh, asinh);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(atan, atan);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(acos, acos);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(asin, asin);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(tanh, tanh);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(cosh, cosh);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(sinh, sinh);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(tan, tan);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(cos, cos);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(sin, sin);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(exp, exp);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(exp2, exp2);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(expm1, expm1);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(log, log);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(log2, log2);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(log10, log10);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(log1p, log1p);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(fabs, abs);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(trunc, abs);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(round, abs);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(floor, abs);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(ceil, abs);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(erf, erf);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(erfc, erfc);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(cbrt, cbrt);

__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(tgamma, gamma);
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(lgamma, lngamma);

// TODO This is not accurate (I think we cast int to double)
__ENZYME_MPFR_SINGOP_DOUBLE_FLOAT(nearbyint, rint);

// Ternary operation
__ENZYME_MPFR_FMULADD(llvm_fmuladd, 64_52, double, d, f64,
                      __ENZYME_MPFR_DEFAULT_ROUNDING_MODE);
__ENZYME_MPFR_FMULADD(llvm_fma, 64_52, double, d, f64,
                      __ENZYME_MPFR_DEFAULT_ROUNDING_MODE);

// Comparisons
__ENZYME_MPFR_FCMP(oeq, 1, == 0);
__ENZYME_MPFR_FCMP(ueq, 0, == 0);

__ENZYME_MPFR_FCMP(ogt, 1, > 0);
__ENZYME_MPFR_FCMP(ugt, 0, > 0);

__ENZYME_MPFR_FCMP(oge, 1, >= 0);
__ENZYME_MPFR_FCMP(uge, 0, >= 0);

__ENZYME_MPFR_FCMP(olt, 1, < 0);
__ENZYME_MPFR_FCMP(ult, 0, < 0);

__ENZYME_MPFR_FCMP(ole, 1, <= 0);
__ENZYME_MPFR_FCMP(ule, 0, <= 0);

__ENZYME_MPFR_FCMP(one, 1, != 0);
__ENZYME_MPFR_FCMP(une, 0, != 0);

// TODO special handling needed
// __ENZYME_MPFR_FCMP(fcmp_ord, );
// __ENZYME_MPFR_FCMP(fcmp_uno, );

// Reference:
//   FCMP_OEQ = 1,   ///< 0 0 0 1    True if ordered and equal
//   FCMP_OGT = 2,   ///< 0 0 1 0    True if ordered and greater than
//   FCMP_OGE = 3,   ///< 0 0 1 1    True if ordered and greater than or equal
//   FCMP_OLT = 4,   ///< 0 1 0 0    True if ordered and less than
//   FCMP_OLE = 5,   ///< 0 1 0 1    True if ordered and less than or equal
//   FCMP_ONE = 6,   ///< 0 1 1 0    True if ordered and operands are unequal
//   FCMP_ORD = 7,   ///< 0 1 1 1    True if ordered (no nans)
//   FCMP_UNO = 8,   ///< 1 0 0 0    True if unordered: isnan(X) | isnan(Y)
//   FCMP_UEQ = 9,   ///< 1 0 0 1    True if unordered or equal
//   FCMP_UGT = 10,  ///< 1 0 1 0    True if unordered or greater than
//   FCMP_UGE = 11,  ///< 1 0 1 1    True if unordered, greater than, or equal
//   FCMP_ULT = 12,  ///< 1 1 0 0    True if unordered or less than
//   FCMP_ULE = 13,  ///< 1 1 0 1    True if unordered, less than, or equal
//   FCMP_UNE = 14,  ///< 1 1 1 0    True if unordered or not equal