1 # ifndef CPPAD_LOCAL_EXP_OP_HPP
2 # define CPPAD_LOCAL_EXP_OP_HPP
16 namespace CppAD {
namespace local {
49 Base* x = taylor + i_x * cap_order;
50 Base* z = taylor + i_z * cap_order;
57 for(
size_t j = p; j <= q; j++)
60 for(k = 2; k <= j; k++)
61 z[j] += Base(
double(k)) * x[k] * z[j-k];
62 z[j] /= Base(
double(j));
93 size_t num_taylor_per_var = (cap_order-1) * r + 1;
94 Base* x = taylor + i_x * num_taylor_per_var;
95 Base* z = taylor + i_z * num_taylor_per_var;
97 size_t m = (q-1)*r + 1;
98 for(
size_t ell = 0; ell < r; ell++)
99 { z[m+ell] = Base(
double(q)) * x[m+ell] * z[0];
100 for(
size_t k = 1; k < q; k++)
101 z[m+ell] += Base(
double(k)) * x[(k-1)*r+ell+1] * z[(q-k-1)*r+ell+1];
102 z[m+ell] /= Base(
double(q));
116 template <
class Base>
129 Base* x = taylor + i_x * cap_order;
130 Base* z = taylor + i_z * cap_order;
145 template <
class Base>
162 const Base* x = taylor + i_x * cap_order;
163 Base* px = partial + i_x * nc_partial;
166 const Base* z = taylor + i_z * cap_order;
167 Base* pz = partial + i_z * nc_partial;
172 for(
size_t i_d = 0; i_d <= d; i_d++)
182 pz[j] /= Base(
double(j));
184 for(k = 1; k <= j; k++)
185 { px[k] += Base(
double(k)) *
azmul(pz[j], z[j-k]);
186 pz[j-k] += Base(
double(k)) *
azmul(pz[j], x[k]);
190 px[0] +=
azmul(pz[0], z[0]);
AD< Base > azmul(const AD< Base > &x, const AD< Base > &y)
size_t NumArg(OpCode op)
Number of arguments for a specified operator.
void reverse_exp_op(size_t d, size_t i_z, size_t i_x, size_t cap_order, const Base *taylor, size_t nc_partial, Base *partial)
Reverse mode partial derivatives for result of op = ExpOp.
size_t NumRes(OpCode op)
Number of variables resulting from the specified operation.
bool IdenticalZero(const std::complex< double > &x)
AD< Base > exp(const AD< Base > &x)
void forward_exp_op_dir(size_t q, size_t r, size_t i_z, size_t i_x, size_t cap_order, Base *taylor)
Multiple direction forward mode Taylor coefficient for op = ExpOp.
void forward_exp_op_0(size_t i_z, size_t i_x, size_t cap_order, Base *taylor)
Zero order forward mode Taylor coefficient for result of op = ExpOp.
#define CPPAD_ASSERT_UNKNOWN(exp)
Check that exp is true, if not terminate execution.
void forward_exp_op(size_t p, size_t q, size_t i_z, size_t i_x, size_t cap_order, Base *taylor)
Forward mode Taylor coefficient for result of op = ExpOp.