1 # ifndef CPPAD_LOCAL_MUL_OP_HPP
2 # define CPPAD_LOCAL_MUL_OP_HPP
15 namespace CppAD {
namespace local {
42 const Base* parameter ,
53 Base* x = taylor + arg[0] * cap_order;
54 Base* y = taylor + arg[1] * cap_order;
55 Base* z = taylor + i_z * cap_order;
58 for(
size_t d = p; d <= q; d++)
60 for(k = 0; k <= d; k++)
61 z[d] += x[d-k] * y[k];
84 const Base* parameter ,
95 size_t num_taylor_per_var = (cap_order-1) * r + 1;
96 Base* x = taylor + arg[0] * num_taylor_per_var;
97 Base* y = taylor + arg[1] * num_taylor_per_var;
98 Base* z = taylor + i_z * num_taylor_per_var;
101 for(ell = 0; ell < r; ell++)
102 { m = (q-1)*r + ell + 1;
103 z[m] = x[0] * y[m] + x[m] * y[0];
104 for(k = 1; k < q; k++)
105 z[m] += x[(q-k-1)*r + ell + 1] * y[(k-1)*r + ell + 1];
123 template <
class Base>
127 const Base* parameter ,
136 Base* x = taylor + arg[0] * cap_order;
137 Base* y = taylor + arg[1] * cap_order;
138 Base* z = taylor + i_z * cap_order;
157 template <
class Base>
162 const Base* parameter ,
175 const Base* x = taylor + arg[0] * cap_order;
176 const Base* y = taylor + arg[1] * cap_order;
179 Base* px = partial + arg[0] * nc_partial;
180 Base* py = partial + arg[1] * nc_partial;
181 Base* pz = partial + i_z * nc_partial;
189 for(k = 0; k <= j; k++)
191 px[j-k] +=
azmul(pz[j], y[k]);
192 py[k] +=
azmul(pz[j], x[j-k]);
210 template <
class Base>
216 const Base* parameter ,
227 Base* y = taylor + arg[1] * cap_order;
228 Base* z = taylor + i_z * cap_order;
231 Base x = parameter[ arg[0] ];
233 for(
size_t d = p; d <= q; d++)
249 template <
class Base>
255 const Base* parameter ,
266 size_t num_taylor_per_var = (cap_order-1) * r + 1;
267 size_t m = (q-1) * r + 1;
268 Base* y = taylor + arg[1] * num_taylor_per_var + m;
269 Base* z = taylor + i_z * num_taylor_per_var + m;
272 Base x = parameter[ arg[0] ];
274 for(
size_t ell = 0; ell < r; ell++)
290 template <
class Base>
294 const Base* parameter ,
303 Base x = parameter[ arg[0] ];
306 Base* y = taylor + arg[1] * cap_order;
307 Base* z = taylor + i_z * cap_order;
325 template <
class Base>
330 const Base* parameter ,
343 Base x = parameter[ arg[0] ];
346 Base* py = partial + arg[1] * nc_partial;
347 Base* pz = partial + i_z * nc_partial;
353 py[j] +=
azmul(pz[j], x);
AD< Base > azmul(const AD< Base > &x, const AD< Base > &y)
void reverse_mulvv_op(size_t d, size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, const Base *taylor, size_t nc_partial, Base *partial)
Compute reverse mode partial derivatives for result of op = MulvvOp.
CPPAD_TAPE_ADDR_TYPE addr_t
size_t NumArg(OpCode op)
Number of arguments for a specified operator.
void reverse_mulpv_op(size_t d, size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, const Base *taylor, size_t nc_partial, Base *partial)
Compute reverse mode partial derivative for result of op = MulpvOp.
size_t NumRes(OpCode op)
Number of variables resulting from the specified operation.
void forward_mulpv_op_0(size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, Base *taylor)
Compute zero order forward mode Taylor coefficient for result of op = MulpvOp.
void forward_mulvv_op_dir(size_t q, size_t r, size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, Base *taylor)
Multiple directions forward mode Taylor coefficients for op = MulvvOp.
void forward_mulvv_op(size_t p, size_t q, size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, Base *taylor)
Compute forward mode Taylor coefficients for result of op = MulvvOp.
void forward_mulpv_op(size_t p, size_t q, size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, Base *taylor)
Compute forward mode Taylor coefficients for result of op = MulpvOp.
#define CPPAD_ASSERT_UNKNOWN(exp)
Check that exp is true, if not terminate execution.
void forward_mulpv_op_dir(size_t q, size_t r, size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, Base *taylor)
Multiple directions forward mode Taylor coefficients for op = MulpvOp.
void forward_mulvv_op_0(size_t i_z, const addr_t *arg, const Base *parameter, size_t cap_order, Base *taylor)
Compute zero order forward mode Taylor coefficients for result of op = MulvvOp.