1 # ifndef CPPAD_LOCAL_COS_OP_HPP
2 # define CPPAD_LOCAL_COS_OP_HPP
16 namespace CppAD {
namespace local {
54 Base* x = taylor + i_x * cap_order;
55 Base* c = taylor + i_z * cap_order;
56 Base* s = c - cap_order;
68 for(
size_t j = p; j <= q; j++)
72 for(k = 1; k <= j; k++)
73 { s[j] += Base(
double(k)) * x[k] * c[j-k];
74 c[j] -= Base(
double(k)) * x[k] * s[j-k];
76 s[j] /= Base(
double(j));
77 c[j] /= Base(
double(j));
112 size_t num_taylor_per_var = (cap_order-1) * r + 1;
113 Base* x = taylor + i_x * num_taylor_per_var;
114 Base* c = taylor + i_z * num_taylor_per_var;
115 Base* s = c - num_taylor_per_var;
121 size_t m = (q-1) * r + 1;
122 for(
size_t ell = 0; ell < r; ell++)
123 { s[m+ell] = Base(
double(q)) * x[m + ell] * c[0];
124 c[m+ell] = - Base(
double(q)) * x[m + ell] * s[0];
125 for(
size_t k = 1; k < q; k++)
126 { s[m+ell] += Base(
double(k)) * x[(k-1)*r+1+ell] * c[(q-k-1)*r+1+ell];
127 c[m+ell] -= Base(
double(k)) * x[(k-1)*r+1+ell] * s[(q-k-1)*r+1+ell];
129 s[m+ell] /= Base(
double(q));
130 c[m+ell] /= Base(
double(q));
149 template <
class Base>
162 Base* x = taylor + i_x * cap_order;
163 Base* c = taylor + i_z * cap_order;
164 Base* s = c - cap_order;
185 template <
class Base>
202 const Base* x = taylor + i_x * cap_order;
203 Base* px = partial + i_x * nc_partial;
206 const Base* c = taylor + i_z * cap_order;
207 Base* pc = partial + i_z * nc_partial;
210 const Base* s = c - cap_order;
211 Base* ps = pc - nc_partial;
220 ps[j] /= Base(
double(j));
221 pc[j] /= Base(
double(j));
222 for(k = 1; k <= j; k++)
224 px[k] += Base(
double(k)) *
azmul(ps[j], c[j-k]);
225 px[k] -= Base(
double(k)) *
azmul(pc[j], s[j-k]);
227 ps[j-k] -= Base(
double(k)) *
azmul(pc[j], x[k]);
228 pc[j-k] += Base(
double(k)) *
azmul(ps[j], x[k]);
233 px[0] +=
azmul(ps[0], c[0]);
234 px[0] -=
azmul(pc[0], s[0]);
void forward_cos_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 = CosOp.
AD< Base > azmul(const AD< Base > &x, const AD< Base > &y)
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_cos_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 = CosOp.
#define CPPAD_ASSERT_UNKNOWN(exp)
Check that exp is true, if not terminate execution.
AD< Base > sin(const AD< Base > &x)
AD< Base > cos(const AD< Base > &x)
void reverse_cos_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 = CosOp.
void forward_cos_op_dir(size_t q, size_t r, size_t i_z, size_t i_x, size_t cap_order, Base *taylor)
Compute forward mode Taylor coefficient for result of op = CosOp.