//3点线性平滑
int LinearSmooth3(double* input, long size) {
double *output = new double[size];
long i(0);
if (size < 3)
{
for (i = 0; i <= size - 1; i++)
{
output[i] = input[i];
}
}
else
{
output[0] = (5.0 * input[0] + 2.0 * input[1] - input[2]) / 6.0;
for (i = 1; i <= size - 2; i++)
{
output[i] = (input[i - 1] + input[i] + input[i + 1]) / 3.0;
}
output[size - 1] = (5.0 * input[size - 1] + 2.0 * input[size - 2] - input[size - 3]) / 6.0;
}
for (i = 0; i < size; i++)
{
input[i] = output[i];
}
delete[] output;
return 0;
}
//5点线性平滑
int LinearSmooth5(double* input, long size) {
double *output = new double[size];
long i(0);
if (size < 5)
{
for (i = 0; i <= size - 1; i++)
{
output[i] = input[i];
}
}
else
{
output[0] = (3.0 * input[0] + 2.0 * input[1] + input[2] - input[4]) / 5.0;
output[1] = (4.0 * input[0] + 3.0 * input[1] + 2 * input[2] + input[3]) / 10.0;
for (i = 2; i <= size - 3; i++)
{
output[i] = (input[i - 2] + input[i - 1] + input[i] + input[i + 1] + input[i + 2]) / 5.0;
}
output[size - 2] = (4.0 * input[size - 1] + 3.0 * input[size - 2] + 2 * input[size - 3] + input[size - 4]) / 10.0;
output[size - 1] = (3.0 * input[size - 1] + 2.0 * input[size - 2] + input[size - 3] - input[size - 5]) / 5.0;
}
for (i = 0; i < size; i++)
{
input[i] = output[i];
}
delete[] output;
return 0;
}
//5点二次线性平滑
int LinearSmooth52(double* input, long size) {
double *output = new double[size];
long i(0);
if (size < 5)
{
for (i = 0; i <= size - 1; i++)
{
output[i] = input[i];
}
}
else
{
output[0] = (31.0 * input[0] + 9.0 * input[1] - 3.0 * input[2] - 5.0 * input[3] + 3.0 * input[4]) / 35.0;
output[1] = (9.0 * input[0] + 13.0 * input[1] + 12 * input[2] + 6.0 * input[3] - 5.0 *input[4]) / 35.0;
for (i = 2; i <= size - 3; i++)
{
output[i] = (-3.0 * (input[i - 2] + input[i + 2]) +
12.0 * (input[i - 1] + input[i + 1]) + 17 * input[i]) / 35.0;
}
output[size - 2] = (9.0 * input[size - 1] + 13.0 * input[size - 2] + 12.0 * input[size - 3] + 6.0 * input[size - 4] - 5.0 * input[size - 5]) / 35.0;
output[size - 1] = (31.0 * input[size - 1] + 9.0 * input[size - 2] - 3.0 * input[size - 3] - 5.0 * input[size - 4] + 3.0 * input[size - 5]) / 35.0;
}
for (i = 0; i < size; i++)
{
input[i] = output[i];
}
delete[] output;
return 0;
}
//5点三次线性平滑
int LinearSmooth53(double* input, long size) {
double *output = new double[size];
long i(0);
if (size < 5)
{
for (i = 0; i <= size - 1; i++)
output[i] = input[i];
}
else
{
output[0] = (69.0 * input[0] + 4.0 * input[1] - 6.0 * input[2] + 4.0 * input[3] - input[4]) / 70.0;
output[1] = (2.0 * input[0] + 27.0 * input[1] + 12.0 * input[2] - 8.0 * input[3] + 2.0 * input[4]) / 35.0;
for (i = 2; i <= size - 3; i++)
{
output[i] = (-3.0 * (input[i - 2] + input[i + 2]) + 12.0 * (input[i - 1] + input[i + 1]) + 17.0 * input[i]) / 35.0;
}
output[size - 2] = (2.0 * input[size - 5] - 8.0 * input[size - 4] + 12.0 * input[size - 3] + 27.0 * input[size - 2] + 2.0 * input[size - 1]) / 35.0;
output[size - 1] = (-input[size - 5] + 4.0 * input[size - 4] - 6.0 * input[size - 3] + 4.0 * input[size - 2] + 69.0 * input[size - 1]) / 70.0;
}
for (i = 0; i < size; i++)
{
input[i] = output[i];
}
delete[] output;
return 0;
}
//7点线性平滑
int LinearSmooth7(double* input, long size) {
double *output = new double[size];
long i(0);
if (size < 7)
{
for (i = 0; i <= size - 1; i++)
{
output[i] = input[i];
}
}
else
{
output[0] = (13.0 * input[0] + 10.0 * input[1] + 7.0 * input[2] + 4.0 * input[3] +
input[4] - 2.0 * input[5] - 5.0 * input[6]) / 28.0;
output[1] = (5.0 * input[0] + 4.0 * input[1] + 3 * input[2] + 2 * input[3] +
input[4] - input[6]) / 14.0;
output[2] = (7.0 * input[0] + 6.0 * input[1] + 5.0 * input[2] + 4.0 * input[3] +
3.0 * input[4] + 2.0 * input[5] + input[6]) / 28.0;
for (i = 3; i <= size - 4; i++)
{
output[i] = (input[i - 3] + input[i - 2] + input[i - 1] + input[i] + input[i + 1] + input[i + 2] + input[i + 3]) / 7.0;
}
output[size - 3] = (7.0 * input[size - 1] + 6.0 * input[size - 2] + 5.0 * input[size - 3] +
4.0 * input[size - 4] + 3.0 * input[size - 5] + 2.0 * input[size - 6] + input[size - 7]) / 28.0;
output[size - 2] = (5.0 * input[size - 1] + 4.0 * input[size - 2] + 3.0 * input[size - 3] +
2.0 * input[size - 4] + input[size - 5] - input[size - 7]) / 14.0;
output[size - 1] = (13.0 * input[size - 1] + 10.0 * input[size - 2] + 7.0 * input[size - 3] +
4 * input[size - 4] + input[size - 5] - 2 * input[size - 6] - 5 * input[size - 7]) / 28.0;
}
for (i = 0; i < size; i++)
{
input[i] = output[i];
}
delete[] output;
return 0;
}
//7点二次线性平滑
int LinearSmooth72(double* input, long size) {
double *output = new double[size];
long i(0);
if (size < 7)
{
for (i = 0; i <= size - 1; i++)
{
output[i] = input[i];
}
}
else
{
output[0] = (32.0 * input[0] + 15.0 * input[1] + 3.0 * input[2] - 4.0 * input[3] -
6.0 * input[4] - 3.0 * input[5] + 5.0 * input[6]) / 42.0;
output[1] = (5.0 * input[0] + 4.0 * input[1] + 3.0 * input[2] + 2.0 * input[3] +
input[4] - input[6]) / 14.0;
output[2] = (1.0 * input[0] + 3.0 * input[1] + 4.0 * input[2] + 4.0 * input[3] +
3.0 * input[4] + 1.0 * input[5] - 2.0 * input[6]) / 14.0;
for (i = 3; i <= size - 4; i++)
{
output[i] = (-2.0 * (input[i - 3] + input[i + 3]) +
3.0 * (input[i - 2] + input[i + 2]) +
6.0 * (input[i - 1] + input[i + 1]) + 7.0 * input[i]) / 21.0;
}
output[size - 3] = (1.0 * input[size - 1] + 3.0 * input[size - 2] + 4.0 * input[size - 3] +
4.0 * input[size - 4] + 3.0 * input[size - 5] + 1.0 * input[size - 6] - 2.0 * input[size - 7]) / 14.0;
output[size - 2] = (5.0 * input[size - 1] + 4.0 * input[size - 2] + 3.0 * input[size - 3] +
2.0 * input[size - 4] + input[size - 5] - input[size - 7]) / 14.0;
output[size - 1] = (32.0 * input[size - 1] + 15.0 * input[size - 2] + 3.0 * input[size - 3] -
4.0 * input[size - 4] - 6.0 * input[size - 5] - 3.0 * input[size - 6] + 5.0 * input[size - 7]) / 42.0;
}
for (i = 0; i < size; i++)
{
input[i] = output[i];
}
delete[] output;
return 0;
}