Definition in file vec_arith.h.
#include <iostream>
#include <complex>
#include <o2scl/cx_arith.h>
#include <o2scl/ovector_tlate.h>
#include <o2scl/omatrix_tlate.h>
#include <o2scl/uvector_tlate.h>
#include <o2scl/umatrix_tlate.h>
#include <o2scl/ovector_cx_tlate.h>
#include <o2scl/omatrix_cx_tlate.h>
#include <o2scl/uvector_cx_tlate.h>
#include <o2scl/umatrix_cx_tlate.h>
Go to the source code of this file.
Namespaces | |
namespace | o2scl_arith |
Defines | |
#define | O2SCL_OP_VEC_VEC_ADD(vec1, vec2, vec3) |
The header macro for vector-vector addition. | |
#define | O2SCL_OP_VEC_VEC_SUB(vec1, vec2, vec3) |
The header macro for vector-vector subtraction. | |
#define | O2SCL_OP_MAT_VEC_MULT(vec1, vec2, mat) |
The header macro for matrix-vector (right) multiplication. | |
#define | O2SCL_OP_CMAT_CVEC_MULT(vec1, vec2, mat) |
The header macro for complex matrix-vector (right) multiplication. | |
#define | O2SCL_OP_VEC_MAT_MULT(vec1, vec2, mat) |
The header macro for vector-matrix (left) multiplication. | |
#define | O2SCL_OP_TRANS_MULT(vec1, vec2, mat) |
The header macro for the trans_mult form of vector * matrix. | |
#define | O2SCL_OP_DOT_PROD(dtype, vec1, vec2) |
The header macro for vector scalar (dot) product. | |
#define | O2SCL_OP_CX_DOT_PROD(dtype, vec1, vec2) |
The header macro for complex vector scalar (dot) product. | |
#define | O2SCL_OP_SCA_VEC_MULT(dtype, vecv, vec) |
The header macro for scalar-vector multiplication. | |
#define | O2SCL_OP_VEC_SCA_MULT(dtype, vecv, vec) |
The header macro for vector-scalar multiplication. | |
#define | O2SCL_OP_VEC_VEC_PRO(vec1, vec2, vec3) |
The header macro for pairwise vector * vector (where either vector can be real or complex). | |
#define | O2SCL_OPSRC_VEC_VEC_ADD(vec1, vec2, vec3) |
The source code macro for vector-vector addition. | |
#define | O2SCL_OPSRC_VEC_VEC_SUB(vec1, vec2, vec3) |
The source code macro for vector-vector subtraction. | |
#define | O2SCL_OPSRC_MAT_VEC_MULT(vec1, vec2, mat) |
The source code macro for matrix * vector. | |
#define | O2SCL_OPSRC_CMAT_CVEC_MULT(vec1, vec2, mat) |
The source code macro for complex matrix * complex vector. | |
#define | O2SCL_OPSRC_VEC_MAT_MULT(vec1, vec2, mat) |
The source code macro for the operator form of vector * matrix. | |
#define | O2SCL_OPSRC_TRANS_MULT(vec1, vec2, mat) |
The source code macro for the trans_mult form of vector * matrix. | |
#define | O2SCL_OPSRC_DOT_PROD(dtype, vec1, vec2) |
The source code macro for a vector dot product. | |
#define | O2SCL_OPSRC_CX_DOT_PROD(dtype, vec1, vec2) |
The source code macro for a complex vector dot product. | |
#define | O2SCL_OPSRC_SCA_VEC_MULT(dtype, vecv, vec) |
The source code macro for vector=scalar*vector. | |
#define | O2SCL_OPSRC_VEC_SCA_MULT(dtype, vecv, vec) |
The source code macro for vector=vector*scalar. | |
#define | O2SCL_OPSRC_VEC_VEC_PRO(vec1, vec2, vec3) |
The source code macro for pairwise vector * vector (where either vector can be real or complex). | |
#define | O2SCL_OP_VEC_VEC_EQUAL(vec1, vec2) |
The header macro for vector==vector. | |
#define | O2SCL_OPSRC_VEC_VEC_EQUAL(vec1, vec2) |
The source code macro vector==vector. | |
#define | O2SCL_OP_VEC_VEC_NEQUAL(vec1, vec2) |
The header macro for vector!=vector. | |
#define | O2SCL_OPSRC_VEC_VEC_NEQUAL(vec1, vec2) |
The source code macro vector!=vector. |
#define O2SCL_OP_CMAT_CVEC_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
Value:
vec1 operator* \ (const mat &m, const vec2 &x);
Given types vec1
, vec2
, and mat
, this macro provides the function declaration for adding two vectors using the form
vec1 operator*(const mat &m, const vec3 &x);
The corresponding definition is given in O2SCL_OPSRC_CMAT_CVEC_MULT.
By default, the following operators are defined:
ovector_cx operator*(omatrix_cx_view &x, ovector_cx_view &y); ovector_cx operator*(omatrix_cx_view &x, uvector_cx_view &y); ovector_cx operator*(umatrix_cx_view &x, ovector_cx_view &y); uvector_cx operator*(umatrix_cx_view &x, uvector_cx_view &y);
Definition at line 221 of file vec_arith.h.
#define O2SCL_OP_CX_DOT_PROD | ( | dtype, | |||
vec1, | |||||
vec2 | ) |
Value:
dtype dot \ (const vec1 &x, const vec2 &y);
Given types vec1
, vec2
, and dtype
, this macro provides the function declaration for adding two vectors using the form
dtype operator*(const vec1 &x, const vec2 &y);
The corresponding definition is given in O2SCL_OPSRC_CX_DOT_PROD.
Definition at line 338 of file vec_arith.h.
#define O2SCL_OP_DOT_PROD | ( | dtype, | |||
vec1, | |||||
vec2 | ) |
Value:
dtype dot \ (const vec1 &x, const vec2 &y);
Given types vec1
, vec2
, and dtype
, this macro provides the function declaration for adding two vectors using the form
dtype operator*(const vec1 &x, const vec2 &y);
The corresponding definition is given in O2SCL_OPSRC_DOT_PROD.
Definition at line 307 of file vec_arith.h.
#define O2SCL_OP_MAT_VEC_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
Value:
vec1 operator* \ (const mat &m, const vec2 &x);
Given types vec1
, vec2
, and mat
, this macro provides the function declaration for adding two vectors using the form
vec1 operator*(const mat &m, const vec3 &x);
See also the blas version of this function dgemv().
The corresponding definition is given in O2SCL_OPSRC_MAT_VEC_MULT.
By default, the following operators are defined:
ovector operator*(omatrix_view &x, ovector_view &y); ovector operator*(omatrix_view &x, uvector_view &y); ovector operator*(umatrix_view &x, ovector_view &y); uvector operator*(umatrix_view &x, uvector_view &y);
Definition at line 179 of file vec_arith.h.
#define O2SCL_OP_SCA_VEC_MULT | ( | dtype, | |||
vecv, | |||||
vec | ) |
Value:
vec operator* \ (const dtype &x, const vecv &y);
Given types vecv
, vec
, and dtype
, this macro provides the function declaration for adding two vectors using the form
vec operator*(const dtype &x, const vecv &y);
The corresponding definition is given in O2SCL_OPSRC_SCA_VEC_MULT.
Definition at line 372 of file vec_arith.h.
#define O2SCL_OP_TRANS_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
Value:
vec1 trans_mult \ (const vec2 &x, const mat &m);
trans_mult
form of vector * matrix.
Definition at line 277 of file vec_arith.h.
#define O2SCL_OP_VEC_MAT_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
Value:
vec1 operator* \ (const vec2 &x, const mat &m);
Given types vec1
, vec2
, and mat
, this macro provides the function declaration for adding two vectors using the form
vec1 operator*(const vec3 &x, const mat &m);
The corresponding definition is given in O2SCL_OPSRC_VEC_MAT_MULT.
Definition at line 256 of file vec_arith.h.
#define O2SCL_OP_VEC_SCA_MULT | ( | dtype, | |||
vecv, | |||||
vec | ) |
Value:
vec operator* \ (const vecv &x, const dtype &y);
Given types vecv
, vec
, and dtype
, this macro provides the function declaration for adding two vectors using the form
vec operator*(const vecv &x, const dtype &y);
The corresponding definition is given in O2SCL_OPSRC_VEC_SCA_MULT.
Definition at line 400 of file vec_arith.h.
#define O2SCL_OP_VEC_VEC_ADD | ( | vec1, | |||
vec2, | |||||
vec3 | ) |
Value:
vec1 operator+ \ (const vec2 &x, const vec3 &y);
Given types vec1
, vec2
, and vec_3
, this macro provides the function declaration for adding two vectors using the form
vec1 operator+(const vec2 &x, const vec3 &y);
The corresponding definition is given in O2SCL_OPSRC_VEC_VEC_ADD.
By default, the following operators are defined:
ovector operator+(ovector_view &x, ovector_view &y); ovector operator+(ovector_view &x, uvector_view &y); ovector operator+(uvector_view &x, ovector_view &y); uvector operator+(uvector_view &x, uvector_view &y); ovector_cx operator+(ovector_cx_view &x, ovector_cx_view &y); ovector_cx operator+(ovector_cx_view &x, uvector_cx_view &y); ovector_cx operator+(uvector_cx_view &x, ovector_cx_view &y); uvector_cx operator+(uvector_cx_view &x, uvector_cx_view &y);
Definition at line 75 of file vec_arith.h.
#define O2SCL_OP_VEC_VEC_EQUAL | ( | vec1, | |||
vec2 | ) |
Value:
bool operator== \ (const vec1 &x, const vec2 &y);
Given types vec1
and vec2
, this macro provides the function declaration for vector equality comparisons using
bool operator==(const vec1 &x, const vec2 &y);
Definition at line 690 of file vec_arith.h.
#define O2SCL_OP_VEC_VEC_NEQUAL | ( | vec1, | |||
vec2 | ) |
Value:
bool operator!= \ (const vec1 &x, const vec2 &y);
Given types vec1
and vec2
, this macro provides the function declaration for vector inequality comparisons using
bool operator==(const vec1 &x, const vec2 &y);
Definition at line 772 of file vec_arith.h.
#define O2SCL_OP_VEC_VEC_PRO | ( | vec1, | |||
vec2, | |||||
vec3 | ) |
Value:
vec1 pair_prod \ (const vec2 &x, const vec3 &y);
Given types vec1
, vec2
, and vec3
, this macro provides the function declaration for adding two vectors using the form
vec1 pair_prod(const vec2 &x, const vec3 &y);
The corresponding definition is given in O2SCL_OPSRC_VEC_VEC_PRO.
Definition at line 429 of file vec_arith.h.
#define O2SCL_OP_VEC_VEC_SUB | ( | vec1, | |||
vec2, | |||||
vec3 | ) |
Value:
vec1 operator- \ (const vec2 &x, const vec3 &y);
Given types vec1
, vec2
, and vec_3
, this macro provides the function declaration for adding two vectors using the form
vec1 operator-(const vec2 &x, const vec3 &y);
The corresponding definition is given in O2SCL_OPSRC_VEC_VEC_SUB.
By default, the following operators are defined:
ovector operator-(ovector_view &x, ovector_view &y); ovector operator-(ovector_view &x, uvector_view &y); ovector operator-(uvector_view &x, ovector_view &y); uvector operator-(uvector_view &x, uvector_view &y); ovector_cx operator-(ovector_cx_view &x, ovector_cx_view &y); ovector_cx operator-(ovector_cx_view &x, uvector_cx_view &y); ovector_cx operator-(uvector_cx_view &x, ovector_cx_view &y); uvector_cx operator-(uvector_cx_view &x, uvector_cx_view &y);
Definition at line 128 of file vec_arith.h.
#define O2SCL_OPSRC_CMAT_CVEC_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
The source code macro for complex matrix * complex vector.
This define macro generates the function definition. See the function declaration O2SCL_OP_CMAT_CVEC_MULT
Definition at line 529 of file vec_arith.h.
#define O2SCL_OPSRC_CX_DOT_PROD | ( | dtype, | |||
vec1, | |||||
vec2 | ) |
The source code macro for a complex vector dot product.
This define macro generates the function definition. See the function declaration O2SCL_OP_CX_DOT_PROD
Definition at line 614 of file vec_arith.h.
#define O2SCL_OPSRC_DOT_PROD | ( | dtype, | |||
vec1, | |||||
vec2 | ) |
The source code macro for a vector dot product.
This define macro generates the function definition. See the function declaration O2SCL_OP_DOT_PROD
Definition at line 597 of file vec_arith.h.
#define O2SCL_OPSRC_MAT_VEC_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
The source code macro for matrix * vector.
This define macro generates the function definition. See the function declaration O2SCL_OP_MAT_VEC_MULT
Definition at line 508 of file vec_arith.h.
#define O2SCL_OPSRC_SCA_VEC_MULT | ( | dtype, | |||
vecv, | |||||
vec | ) |
The source code macro for vector=scalar*vector.
This define macro generates the function definition. See the function declaration O2SCL_OP_SCA_VEC_MULT
Definition at line 631 of file vec_arith.h.
#define O2SCL_OPSRC_TRANS_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
The source code macro for the trans_mult
form of vector * matrix.
This define macro generates the function definition. See the function declaration O2SCL_OP_TRANS_MULT
Definition at line 576 of file vec_arith.h.
#define O2SCL_OPSRC_VEC_MAT_MULT | ( | vec1, | |||
vec2, | |||||
mat | ) |
The source code macro for the operator form of vector * matrix.
This define macro generates the function definition. See the function declaration O2SCL_OP_VEC_MAT_MULT
Definition at line 554 of file vec_arith.h.
#define O2SCL_OPSRC_VEC_SCA_MULT | ( | dtype, | |||
vecv, | |||||
vec | ) |
The source code macro for vector=vector*scalar.
This define macro generates the function definition. See the function declaration O2SCL_OP_VEC_SCA_MULT
Definition at line 647 of file vec_arith.h.
#define O2SCL_OPSRC_VEC_VEC_ADD | ( | vec1, | |||
vec2, | |||||
vec3 | ) |
The source code macro for vector-vector addition.
This define macro generates the function definition. See the function declaration O2SCL_OP_VEC_VEC_ADD
Definition at line 474 of file vec_arith.h.
#define O2SCL_OPSRC_VEC_VEC_EQUAL | ( | vec1, | |||
vec2 | ) |
The source code macro vector==vector.
Definition at line 746 of file vec_arith.h.
#define O2SCL_OPSRC_VEC_VEC_NEQUAL | ( | vec1, | |||
vec2 | ) |
The source code macro vector!=vector.
Definition at line 828 of file vec_arith.h.
#define O2SCL_OPSRC_VEC_VEC_PRO | ( | vec1, | |||
vec2, | |||||
vec3 | ) |
The source code macro for pairwise vector * vector (where either vector can be real or complex).
This define macro generates the function definition. See the function declaration O2SCL_OP_VEC_VEC_PRO
Definition at line 664 of file vec_arith.h.
#define O2SCL_OPSRC_VEC_VEC_SUB | ( | vec1, | |||
vec2, | |||||
vec3 | ) |
The source code macro for vector-vector subtraction.
This define macro generates the function definition. See the function declaration O2SCL_OP_VEC_VEC_SUB
Definition at line 491 of file vec_arith.h.
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