Vector(API)

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)
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);

Input	Description
x[i]	Summation of distance from first through No. i
y[i]	Data of No. i

Output	Description
z[i]	Differential value about No. i

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);

Input	Description
t	Distance of current position
p	Distance list
x	Differential value list
y	Coordinates list

Output	Description
z	Coordinates list after correction

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);

Input	Description
x	x coordinates list
y	y coordinates list

Output	Description
p[i]	Summation of distance from first through No. i
a[i]	Differential value at No. i of x coordinates
b[i]	Differential value at No. i of y coordinates

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);

Input	Description
t	Distance of current position
p	Distance list
x	x coordinates list
y	y coordinates list
a	Differential value list of x coordinates
b	Differential value list of y coordinates

Output	Description
px	x coordinates list after correction
py	y coordinates list after correction