1 /*****************************************************************************
2 ** This is part of the CTSim program
3 ** Copyright (C) 1983-2000 Kevin Rosenberg
5 ** $Id: kmath.h,v 1.6 2000/05/02 20:00:25 kevin Exp $
7 ** Revision 1.6 2000/05/02 20:00:25 kevin
8 ** *** empty log message ***
10 ** Revision 1.5 2000/05/02 15:31:39 kevin
13 ** Revision 1.4 2000/04/30 19:17:35 kevin
14 ** Set up include files for conditional INTERACTIVE_GRAPHICS
16 ** Revision 1.3 2000/04/28 14:14:16 kevin
17 ** *** empty log message ***
20 ** This program is free software; you can redistribute it and/or modify
21 ** it under the terms of the GNU General Public License (version 2) as
22 ** published by the Free Software Foundation.
24 ** This program is distributed in the hope that it will be useful,
25 ** but WITHOUT ANY WARRANTY; without even the implied warranty of
26 ** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
27 ** GNU General Public License for more details.
29 ** You should have received a copy of the GNU General Public License
30 ** along with this program; if not, write to the Free Software
31 ** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
32 ******************************************************************************/
33 /******************************************************************************
36 * Header file containing definitions for numerical app's
37 * Date Started: Nov 84
39 *****************************************************************************/
47 #define PI 3.14159265358979323846
48 #define HALFPI 1.57079632679489661923 /* PI divided by 2 */
49 #define QUARTPI 0.78539816339744830962 /* PI divided by 4 */
50 #define I_PI 0.31830988618379067154 /* Inverse of PI */
51 #define I_PID2 0.63661977236758134308 /* Inverse of PID2 */
53 #define TWOPI 6.28318530717958647692
54 #define SQRT2 1.414213562373095049
56 #define F_EPSILON 1.0E-6
57 #define D_EPSILON 1.0E-10
59 #define DEG_TO_RAD(x) (x*(PI/180.))
60 #define RAD_TO_DEG(x) (x*(180./PI))
63 #define ASSUMEDZERO 1E-10
65 /* codes for C data types */
74 typedef char *CMTX_1D;
75 typedef CMTX_1D *CMTX_2D;
76 typedef CMTX_2D *CMTX_3D;
79 typedef IMTX_1D *IMTX_2D;
80 typedef IMTX_2D *IMTX_3D;
82 typedef float *FMTX_1D;
83 typedef FMTX_1D *FMTX_2D;
84 typedef FMTX_2D *FMTX_3D;
86 typedef double *DMTX_1D;
87 typedef DMTX_1D *DMTX_2D;
88 typedef DMTX_2D *DMTX_3D;
90 typedef double GRFMTX_2D[3][3];
91 typedef double GRFMTX_3D[4][4];
93 union elem_val_un { /* holds an element value */
101 typedef union elem_val_un MTX_ELEM_VAL;
104 union elem_ptr_un { /* holds a pointer to a 1D vector of any type */
112 typedef union elem_ptr_un MTX_1D;
113 typedef MTX_1D *MTX_2D;
114 typedef MTX_2D *MTX_3D;
116 union mtx_val_ptr_un { /* pointer to matrix values */
122 typedef union mtx_val_ptr_un MTX_PTR;
125 unsigned int order; /* order, or dimension, of matrix */
126 unsigned int elemtype; /* element type */
127 unsigned int elemsize; /* size of element in bytes */
128 unsigned int nx, ny, nz; /* size of matrix in each dimension */
129 MTX_PTR val; /* pointer to matrix values */
132 typedef struct matrix_st MTX;
133 typedef struct matrix_st *MTXP;
135 /* DEFINITION IDENTIFICATION
137 * Definitions to access a matrix element from an matrix
141 (mtx->elemtype == DT_FLOAT ? mtx->val.m1.f[x] :\
142 (mtx->elemtype == DT_DOUBLE ? mtx->val.m1.d[x] :\
143 (mtx->elemtype == DT_INT ? mtx->val.m1.i[x] :\
144 (mtx->elemtype == DT_LONG ? mtx->val.m1.l[x] :\
145 (mtx->elemtype == DT_CHAR ? mtx->val.m1.c[x] :\
149 #define me2(mtx,x,y)\
150 (mtx->elemtype == DT_FLOAT ? mtx->val.m2[x].f[y] :\
151 (mtx->elemtype == DT_DOUBLE ? mtx->val.m2[x].d[y] :\
152 (mtx->elemtype == DT_INT ? mtx->val.m2[x].i[y] :\
153 (mtx->elemtype == DT_LONG ? mtx->val.m2[x].l[y] :\
154 (mtx->elemtype == DT_CHAR ? mtx->val.m2[x].c[y] :\
159 #define me3(mtx,x,y,z)\
160 (mtx->elemtype == DT_FLOAT ? mtx->val.m3[x][y].f[z] :\
161 (mtx->elemtype == DT_DOUBLE ? mtx->val.m3[x][y].d[z] :\
162 (mtx->elemtype == DT_INT ? mtx->val.m3[x][y].i[z] :\
163 (mtx->elemtype == DT_LONG ? mtx->val.m3[x][y].l[z] :\
164 (mtx->elemtype == DT_CHAR ? mtx->val.m3[x][y].c[z] :\
170 double fmax(const double a, const double b);
171 void minmax_dvector(const double array[], const int pts, double *xmin, double *xmax);
173 int cliprect(double *x1, double *y1, double *x2, double *y2, const double rect[4]);
175 long int lnearest(double x);
177 void mtx_show(const MTX *mtx);
178 void mtx_prt(const MTX *mtx, FILE *fp);
179 int mtx_prt_elem(const MTX *mtx, FILE *fp, unsigned int x, unsigned int y, unsigned int z);
181 int mtx_get_elem(const MTX *mtx, MTX_ELEM_VAL *me, const int x, const int y, const int z);
182 int mtx_put_elem(MTX *mtx, const MTX_ELEM_VAL *me, unsigned int x, unsigned int y, unsigned int z);
184 int mtx_inp_elem(const char *prompt, MTX_ELEM_VAL *mev, const int dtype);
186 MTX *mtx_init(const unsigned int order, const unsigned int elem_type, const unsigned int nx, const unsigned int ny, const unsigned int nz);
187 MTX *mtx_clr(MTX *mtx);
188 int mtx_free(MTX *mtx);
189 int mtx_elem_size(const int dt);
190 int mtx_check(const MTX *mtx, const char *func_name);
192 double norm_ang(double theta);
194 double simpson(const double xmin, const double xmax, const double *y, const int np);
196 int clipsegment(double *x1, double *y1, double *x2, double *y2, const double u, const double v);
197 int clipsector(double *x1, double *y1, double *x2, double *y2, const double u, const double v);
198 int clipcircle(double *x1, double *y1, double *x2, double *y2, const double cx, const double cy, const double radius, double t1, double t2);
199 int cliptriangle(double *x1, double *y1, double *x2, double *y2, const double u, const double v, const int clip_xaxis);
201 void indent_mtx2(GRFMTX_2D m);
202 void xlat_mtx2(GRFMTX_2D m, const double x, const double y);
203 void scale_mtx2(GRFMTX_2D m, const double sx, const double sy);
204 void rot_mtx2(GRFMTX_2D m, const double theta);
205 void mult_mtx2(GRFMTX_2D m1, GRFMTX_2D m2, GRFMTX_2D result);
206 void xform_mtx2(GRFMTX_2D const m, double *x, double *y);