1 # ifndef CPPAD_LOCAL_LOG_OP_HPP
2 # define CPPAD_LOCAL_LOG_OP_HPP
15 namespace CppAD {
namespace local {
49 Base* x = taylor + i_x * cap_order;
50 Base* z = taylor + i_z * cap_order;
62 for(
size_t j = p; j <= q; j++)
64 z[j] = -z[1] * x[j-1];
65 for(k = 2; k < j; k++)
66 z[j] -= Base(
double(k)) * z[k] * x[j-k];
67 z[j] /= Base(
double(j));
100 size_t num_taylor_per_var = (cap_order-1) * r + 1;
101 Base* x = taylor + i_x * num_taylor_per_var;
102 Base* z = taylor + i_z * num_taylor_per_var;
104 size_t m = (q-1) * r + 1;
105 for(
size_t ell = 0; ell < r; ell++)
106 { z[m+ell] = Base(
double(q)) * x[m+ell];
107 for(
size_t k = 1; k < q; k++)
108 z[m+ell] -= Base(
double(k)) * z[(k-1)*r+1+ell] * x[(q-k-1)*r+1+ell];
109 z[m+ell] /= (Base(
double(q)) * x[0]);
123 template <
class Base>
137 Base* x = taylor + i_x * cap_order;
138 Base* z = taylor + i_z * cap_order;
154 template <
class Base>
172 const Base* x = taylor + i_x * cap_order;
173 Base* px = partial + i_x * nc_partial;
176 const Base* z = taylor + i_z * cap_order;
177 Base* pz = partial + i_z * nc_partial;
179 Base inv_x0 = Base(1.0) / x[0];
184 pz[j] =
azmul(pz[j] , inv_x0);
186 px[0] -=
azmul(pz[j], z[j]);
190 pz[j] /= Base(
double(j));
192 for(k = 1; k < j; k++)
193 { pz[k] -= Base(
double(k)) *
azmul(pz[j], x[j-k]);
194 px[j-k] -= Base(
double(k)) *
azmul(pz[j], z[k]);
198 px[0] +=
azmul(pz[0], inv_x0);
AD< Base > azmul(const AD< Base > &x, const AD< Base > &y)
AD< Base > log(const AD< Base > &x)
size_t NumArg(OpCode op)
Number of arguments for a specified operator.
size_t NumRes(OpCode op)
Number of variables resulting from the specified operation.
void forward_log_op(size_t p, size_t q, size_t i_z, size_t i_x, size_t cap_order, Base *taylor)
Compute forward mode Taylor coefficient for result of op = LogOp.
void forward_log_op_0(size_t i_z, size_t i_x, size_t cap_order, Base *taylor)
Compute zero order forward mode Taylor coefficient for result of op = LogOp.
#define CPPAD_ASSERT_UNKNOWN(exp)
Check that exp is true, if not terminate execution.
void forward_log_op_dir(size_t q, size_t r, size_t i_z, size_t i_x, size_t cap_order, Base *taylor)
Muiltiple directions Taylor coefficient for op = LogOp.
void reverse_log_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)
Compute reverse mode partial derivatives for result of op = LogOp.