Kinoshita: Created page with "General/'''Vector''' is API for expression of vector. == struct == Vector: float, int, double typedef struct floatVector { unsigned long size; float* data; } flo..."

2014-09-08T00:08:05Z

Created page with "General/'''Vector''' is API for expression of vector. == struct == Vector: float, int, double typedef struct floatVector { unsigned long size; float* data; } flo..."

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General/'''Vector''' is API for expression of vector.

== struct ==
Vector: float, int, double
typedef struct floatVector {
unsigned long size;
float* data;
} floatVector;

typedef struct intVector {
unsigned long size;
int* data;
} intVector;

typedef struct doubleVector {
unsigned long size;
double* data;
} doubleVector;

size: Size of Vector(Dimension)<br>
data: Real data

== API ==
===Initilization===
extern floatVector* floatVectorInit(floatVector* v, long size);
extern intVector* intVectorInit(intVector* v, long size);
extern doubleVector* doubleVectorInit(doubleVector* v, long size);

===Free===
extern floatVector* floatVectorFree(floatVector* v);
extern intVector* intVectorFree(intVector* v);
extern doubleVector* doubleVectorFree(doubleVector* v);

===Addition===
extern floatVector* floatVectorAdd(floatVector* v, floatVector* u, floatVector* w);
extern doubleVector* doubleVectorAdd(doubleVector* v, doubleVector* u, doubleVector* w);

===Subtraction===
extern floatVector* floatVectorMinus(floatVector* v, floatVector* u, floatVector* w);
extern doubleVector* doubleVectorMinus(doubleVector* v, doubleVector* u, doubleVector* w);

===Inner product===
extern double floatVectorScalarProduct(floatVector* x, floatVector* y);
extern double doubleVectorScalarProduct(doubleVector* x, doubleVector* y);

===Length===
extern double lfloatVectorLength(floatVector* x);
extern double ldoubleVectorLength(doubleVector* x);

===Spline===
====1D Spline====
=====Create differential value list=====
extern void lVectorSplineTableMake(floatVector* x, floatVector* y, floatVector* z);
extern void ldoubleVectorSplineTableMake(doubleVector* x, doubleVector* y, doubleVector* z);
<table border="1">
<tr>
<th>Input</th>
<th>Description</th>
</tr>
<tr>
<td>x[i]</td>
<td>Summation of distance from first through No. i</td>
</tr>
<tr>
<td>y[i]</td>
<td>Data of No. i</td>
</tr>
</table>
<br>

<table border="1">
<tr>
<th>Output</th>
<th>Description</th>
</tr>
<tr>
<td>z[i]</td>
<td>Differential value about No. i</td>
</tr>
</table>
<br>

=====Calculate coordinates of Spline=====
extern double lVectorSpline(double t, floatVector* x, floatVector* y, floatVector* z);
extern double ldoubleVectorSpline(double t, doubleVector* x, doubleVector* y, doubleVector* z);

<table border="1">
<tr>
<th>Input</th>
<th>Description</th>
</tr>
<tr>
<td>t</td>
<td>Distance of current position</td>
</tr>
<tr>
<td>p</td>
<td>Distance list</td>
</tr>
<tr>
<td>x</td>
<td>Differential value list</td>
</tr>
<tr>
<td>y</td>
<td>Coordinates list</td>
</tr>
</table>
<br>

<table border="1">
<tr>
<th>Output</th>
<th>Description</th>
</tr>
<tr>
<td>z</td>
<td>Coordinates list after correction</td>
</tr>
</table>
<br>

====2D Spline====
=====Create differential value list=====
extern void lVectorSplineTable2DMake(floatVector* p, floatVector* x, floatVector* y, floatVector* a, floatVector* b);
extern void ldoubleVectorSplineTable2DMake(doubleVector* p, doubleVector* x, doubleVector* y, doubleVector* a, doubleVector* b);
<table border="1">
<tr>
<th>Input</th>
<th>Description</th>
</tr>
<tr>
<td>x</td>
<td>x coordinates list</td>
</tr>
<tr>
<td>y</td>
<td>y coordinates list</td>
</tr>
</table>
<br>

<table border="1">
<tr>
<th>Output</th>
<th>Description</th>
</tr>
<tr>
<td>p[i]</td>
<td>Summation of distance from first through No. i</td>
</tr>
<tr>
<td>a[i]</td>
<td>Differential value at No. i of x coordinates</td>
</tr>
<tr>
<td>b[i]</td>
<td>Differential value at No. i of y coordinates</td>
</tr>
</table>
<br>

=====Calculate coordinates of Spline=====
extern void lVectorSpline2D(double t, double* px, double* py, floatVector* p, floatVector* x, floatVector* y, floatVector* a, floatVector* b);
extern void ldoubleVectorSpline2D(double t, double* px, double* py, doubleVector* p, doubleVector* x, doubleVector* y, doubleVector* a, doubleVector* b);

<table border="1">
<tr>
<th>Input</th>
<th>Description</th>
</tr>
<tr>
<td>t</td>
<td>Distance of current position</td>
</tr>
<tr>
<td>p</td>
<td>Distance list</td>
</tr>
<tr>
<td>x</td>
<td>x coordinates list</td>
</tr>
<tr>
<td>y</td>
<td>y coordinates list</td>
</tr>
<tr>
<td>a</td>
<td>Differential value list of x coordinates</td>
</tr>
<tr>
<td>b</td>
<td>Differential value list of y coordinates</td>
</tr>
</table>
<br>

<table border="1">
<tr>
<th>Output</th>
<th>Description</th>
</tr>
<tr>
<td>px</td>
<td>x coordinates list after correction</td>
</tr>
<tr>
<td>py</td>
<td>y coordinates list after correction</td>
</tr>
</table>
<br>

Vector(API) - Revision history

Kinoshita: Created page with "General/'''Vector''' is API for expression of vector. == struct == Vector: float, int, double typedef struct floatVector { unsigned long size; float* data; } flo..."