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ch-02-ex-04-solution.cpp
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Tue, Feb 25, 06:02

ch-02-ex-04-solution.cpp
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/*
* chapter-02-exercise-04.cpp
*
* Vector operations with loops
*
* Created on: Aug 19, 2012
* Author: Radu Popescu <radu.popescu@epfl.ch>
*/
#include <iostream>
int main(int argc, char* argv[])
{
double u[3] = {1.0, 2.0, 3.0};
double v[3] = {6.0, 5.0, 4.0};
double A[3][3] = {{1.0, 5.0, 0.0},
{7.0, 1.0, 2.0},
{0.0, 0.0, 1.0}};
double B[3][3] = {{-2.0, 0.0, 1.0},
{1.0, 0.0, 0.0},
{4.0, 1.0, 0.0}};
double w[3];
for (int i = 0; i < 3; ++i) {
w[i] = u[i] - 3.0 * v[i];
}
// x = u - v
double x[3] = {0.0, 0.0, 0.0};
for (int i = 0; i < 3; ++i) {
x[i] = u[i] - v[i];
}
// y = Au
double y[3] = {0.0, 0.0, 0.0};
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
y[i] += A[i][j] * u[j];
}
}
// z = Au - v
double z[3] = {0.0, 0.0, 0.0};
for (int i = 0; i < 3; ++i) {
z[i] -= v[i];
for (int j = 0; j < 3; ++j) {
z[i] += A[i][j] * u[j];
}
}
// C = 4A - 3B
double C[3][3];
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
C[i][j] = 4 * A[i][j] - 3 * B[i][j];
}
}
// D = AB
double D[3][3] = {{0.0, 0.0, 0.0}, {0.0, 0.0, 0.0}, {0.0, 0.0, 0.0}};
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
for (int k = 0; k < 3; ++k) {
D[i][j] += A[i][k] * B[k][j];
}
}
}
// Print w
std::cout << "w is: ";
for (int i = 0; i < 3; ++i) {
std::cout << w[i] << " ";
}
std::cout << std::endl;
// Print x
std::cout << "x is: ";
for (int i = 0; i < 3; ++i) {
std::cout << x[i] << " ";
}
std::cout << std::endl;
// Print y
std::cout << "y is: ";
for (int i = 0; i < 3; ++i) {
std::cout << y[i] << " ";
}
std::cout << std::endl;
// Print z
std::cout << "z is: ";
for (int i = 0; i < 3; ++i) {
std::cout << z[i] << " ";
}
std::cout << std::endl;
// Print C
std::cout << "C is:" << std::endl;
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
std::cout << C[i][j] << " ";
}
std::cout << std::endl;
}
std::cout << std::endl;
// Print D
std::cout << "D is:" << std::endl;
for (int i = 0; i < 3; ++i) {
for (int j = 0; j < 3; ++j) {
std::cout << D[i][j] << " ";
}
std::cout << std::endl;
}
std::cout << std::endl;
return 0;
}

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