1 /*****************************************************************************
2 ** This is part of the CTSim program
3 ** Copyright (C) 1983-2000 Kevin Rosenberg
5 ** $Id: kmath.h,v 1.5 2000/05/02 15:31:39 kevin Exp $
7 ** Revision 1.5 2000/05/02 15:31:39 kevin
10 ** Revision 1.4 2000/04/30 19:17:35 kevin
11 ** Set up include files for conditional INTERACTIVE_GRAPHICS
13 ** Revision 1.3 2000/04/28 14:14:16 kevin
14 ** *** empty log message ***
17 ** This program is free software; you can redistribute it and/or modify
18 ** it under the terms of the GNU General Public License (version 2) as
19 ** published by the Free Software Foundation.
21 ** This program is distributed in the hope that it will be useful,
22 ** but WITHOUT ANY WARRANTY; without even the implied warranty of
23 ** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
24 ** GNU General Public License for more details.
26 ** You should have received a copy of the GNU General Public License
27 ** along with this program; if not, write to the Free Software
28 ** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
29 ******************************************************************************/
30 /******************************************************************************
33 * Header file containing definitions for numerical app's
34 * Date Started: Nov 84
36 *****************************************************************************/
44 #define PI 3.14159265358979323846
45 #define HALFPI 1.57079632679489661923 /* PI divided by 2 */
46 #define QUARTPI 0.78539816339744830962 /* PI divided by 4 */
47 #define I_PI 0.31830988618379067154 /* Inverse of PI */
48 #define I_PID2 0.63661977236758134308 /* Inverse of PID2 */
50 #define TWOPI 6.28318530717958647692
51 #define SQRT2 1.414213562373095049
53 #define F_EPSILON 1.0E-6
54 #define D_EPSILON 1.0E-10
56 #define DEG_TO_RAD(x) (x*(PI/180.))
57 #define RAD_TO_DEG(x) (x*(180./PI))
60 #define ASSUMEDZERO 1E-10
62 /* codes for C data types */
71 typedef char *CMTX_1D;
72 typedef CMTX_1D *CMTX_2D;
73 typedef CMTX_2D *CMTX_3D;
76 typedef IMTX_1D *IMTX_2D;
77 typedef IMTX_2D *IMTX_3D;
79 typedef float *FMTX_1D;
80 typedef FMTX_1D *FMTX_2D;
81 typedef FMTX_2D *FMTX_3D;
83 typedef double *DMTX_1D;
84 typedef DMTX_1D *DMTX_2D;
85 typedef DMTX_2D *DMTX_3D;
87 typedef double GRFMTX_2D[3][3];
88 typedef double GRFMTX_3D[4][4];
90 union elem_val_un { /* holds an element value */
98 typedef union elem_val_un MTX_ELEM_VAL;
101 union elem_ptr_un { /* holds a pointer to a 1D vector of any type */
109 typedef union elem_ptr_un MTX_1D;
110 typedef MTX_1D *MTX_2D;
111 typedef MTX_2D *MTX_3D;
113 union mtx_val_ptr_un { /* pointer to matrix values */
119 typedef union mtx_val_ptr_un MTX_PTR;
122 unsigned int order; /* order, or dimension, of matrix */
123 unsigned int elemtype; /* element type */
124 unsigned int elemsize; /* size of element in bytes */
125 unsigned int nx, ny, nz; /* size of matrix in each dimension */
126 MTX_PTR val; /* pointer to matrix values */
129 typedef struct matrix_st MTX;
130 typedef struct matrix_st *MTXP;
132 /* DEFINITION IDENTIFICATION
134 * Definitions to access a matrix element from an matrix
138 (mtx->elemtype == DT_FLOAT ? mtx->val.m1.f[x] :\
139 (mtx->elemtype == DT_DOUBLE ? mtx->val.m1.d[x] :\
140 (mtx->elemtype == DT_INT ? mtx->val.m1.i[x] :\
141 (mtx->elemtype == DT_LONG ? mtx->val.m1.l[x] :\
142 (mtx->elemtype == DT_CHAR ? mtx->val.m1.c[x] :\
146 #define me2(mtx,x,y)\
147 (mtx->elemtype == DT_FLOAT ? mtx->val.m2[x].f[y] :\
148 (mtx->elemtype == DT_DOUBLE ? mtx->val.m2[x].d[y] :\
149 (mtx->elemtype == DT_INT ? mtx->val.m2[x].i[y] :\
150 (mtx->elemtype == DT_LONG ? mtx->val.m2[x].l[y] :\
151 (mtx->elemtype == DT_CHAR ? mtx->val.m2[x].c[y] :\
156 #define me3(mtx,x,y,z)\
157 (mtx->elemtype == DT_FLOAT ? mtx->val.m3[x][y].f[z] :\
158 (mtx->elemtype == DT_DOUBLE ? mtx->val.m3[x][y].d[z] :\
159 (mtx->elemtype == DT_INT ? mtx->val.m3[x][y].i[z] :\
160 (mtx->elemtype == DT_LONG ? mtx->val.m3[x][y].l[z] :\
161 (mtx->elemtype == DT_CHAR ? mtx->val.m3[x][y].c[z] :\
168 int cliprect(double *x1, double *y1, double *x2, double *y2, const double rect[4]);
170 long int lnearest(double x);
172 void mtx_show(const MTX *mtx);
173 void mtx_prt(const MTX *mtx, FILE *fp);
174 int mtx_prt_elem(const MTX *mtx, FILE *fp, unsigned int x, unsigned int y, unsigned int z);
176 int mtx_get_elem(const MTX *mtx, MTX_ELEM_VAL *me, const int x, const int y, const int z);
177 int mtx_put_elem(MTX *mtx, const MTX_ELEM_VAL *me, unsigned int x, unsigned int y, unsigned int z);
179 int mtx_inp_elem(const char *prompt, MTX_ELEM_VAL *mev, const int dtype);
181 MTX *mtx_init(const unsigned int order, const unsigned int elem_type, const unsigned int nx, const unsigned int ny, const unsigned int nz);
182 MTX *mtx_clr(MTX *mtx);
183 int mtx_free(MTX *mtx);
184 int mtx_elem_size(const int dt);
185 int mtx_check(const MTX *mtx, const char *func_name);
187 double norm_ang(double theta);
189 double simpson(const double xmin, const double xmax, const double *y, const int np);