1 /*****************************************************************************
2 ** This is part of the CTSim program
3 ** Copyright (C) 1983-2000 Kevin Rosenberg
5 ** $Id: kmath.h,v 1.4 2000/04/30 19:17:35 kevin Exp $
7 ** Revision 1.4 2000/04/30 19:17:35 kevin
8 ** Set up include files for conditional INTERACTIVE_GRAPHICS
10 ** Revision 1.3 2000/04/28 14:14:16 kevin
11 ** *** empty log message ***
14 ** This program is free software; you can redistribute it and/or modify
15 ** it under the terms of the GNU General Public License (version 2) as
16 ** published by the Free Software Foundation.
18 ** This program is distributed in the hope that it will be useful,
19 ** but WITHOUT ANY WARRANTY; without even the implied warranty of
20 ** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
21 ** GNU General Public License for more details.
23 ** You should have received a copy of the GNU General Public License
24 ** along with this program; if not, write to the Free Software
25 ** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
26 ******************************************************************************/
27 /******************************************************************************
32 * Author: Kevin Rosenberg
33 * Purpose: Header file containing definitions for numerical app's
34 * Date Started: Nov 84
40 *****************************************************************************/
48 #define PI 3.14159265358979323846
49 #define HALFPI 1.57079632679489661923 /* PI divided by 2 */
50 #define QUARTPI 0.78539816339744830962 /* PI divided by 4 */
51 #define I_PI 0.31830988618379067154 /* Inverse of PI */
52 #define I_PID2 0.63661977236758134308 /* Inverse of PID2 */
54 #define TWOPI 6.28318530717958647692
55 #define SQRT2 1.414213562373095049
57 #define F_EPSILON 1.0E-6
58 #define D_EPSILON 1.0E-10
60 #define DEG_TO_RAD(x) (x*(PI/180.))
61 #define RAD_TO_DEG(x) (x*(180./PI))
64 #define ASSUMEDZERO 1E-10
66 /* codes for C data types */
75 typedef char *CMTX_1D;
76 typedef CMTX_1D *CMTX_2D;
77 typedef CMTX_2D *CMTX_3D;
80 typedef IMTX_1D *IMTX_2D;
81 typedef IMTX_2D *IMTX_3D;
83 typedef float *FMTX_1D;
84 typedef FMTX_1D *FMTX_2D;
85 typedef FMTX_2D *FMTX_3D;
87 typedef double *DMTX_1D;
88 typedef DMTX_1D *DMTX_2D;
89 typedef DMTX_2D *DMTX_3D;
91 typedef double GRFMTX_2D[3][3];
92 typedef double GRFMTX_3D[4][4];
94 union elem_val_un { /* holds an element value */
102 typedef union elem_val_un MTX_ELEM_VAL;
105 union elem_ptr_un { /* holds a pointer to a 1D vector of any type */
113 typedef union elem_ptr_un MTX_1D;
114 typedef MTX_1D *MTX_2D;
115 typedef MTX_2D *MTX_3D;
117 union mtx_val_ptr_un { /* pointer to matrix values */
123 typedef union mtx_val_ptr_un MTX_PTR;
126 unsigned int order; /* order, or dimension, of matrix */
127 unsigned int elemtype; /* element type */
128 unsigned int elemsize; /* size of element in bytes */
129 unsigned int nx, ny, nz; /* size of matrix in each dimension */
130 MTX_PTR val; /* pointer to matrix values */
133 typedef struct matrix_st MTX;
134 typedef struct matrix_st *MTXP;
136 /* DEFINITION IDENTIFICATION
138 * Definitions to access a matrix element from an matrix
142 (mtx->elemtype == DT_FLOAT ? mtx->val.m1.f[x] :\
143 (mtx->elemtype == DT_DOUBLE ? mtx->val.m1.d[x] :\
144 (mtx->elemtype == DT_INT ? mtx->val.m1.i[x] :\
145 (mtx->elemtype == DT_LONG ? mtx->val.m1.l[x] :\
146 (mtx->elemtype == DT_CHAR ? mtx->val.m1.c[x] :\
150 #define me2(mtx,x,y)\
151 (mtx->elemtype == DT_FLOAT ? mtx->val.m2[x].f[y] :\
152 (mtx->elemtype == DT_DOUBLE ? mtx->val.m2[x].d[y] :\
153 (mtx->elemtype == DT_INT ? mtx->val.m2[x].i[y] :\
154 (mtx->elemtype == DT_LONG ? mtx->val.m2[x].l[y] :\
155 (mtx->elemtype == DT_CHAR ? mtx->val.m2[x].c[y] :\
160 #define me3(mtx,x,y,z)\
161 (mtx->elemtype == DT_FLOAT ? mtx->val.m3[x][y].f[z] :\
162 (mtx->elemtype == DT_DOUBLE ? mtx->val.m3[x][y].d[z] :\
163 (mtx->elemtype == DT_INT ? mtx->val.m3[x][y].i[z] :\
164 (mtx->elemtype == DT_LONG ? mtx->val.m3[x][y].l[z] :\
165 (mtx->elemtype == DT_CHAR ? mtx->val.m3[x][y].c[z] :\
172 int cliprect(double *x1, double *y1, double *x2, double *y2, const double rect[4]);
174 long int lnearest(double x);
176 void mtx_show(const MTX *mtx);
177 void mtx_prt(const MTX *mtx, FILE *fp);
178 int mtx_prt_elem(const MTX *mtx, FILE *fp, unsigned int x, unsigned int y, unsigned int z);
180 int mtx_get_elem(const MTX *mtx, MTX_ELEM_VAL *me, const int x, const int y, const int z);
181 int mtx_put_elem(MTX *mtx, const MTX_ELEM_VAL *me, unsigned int x, unsigned int y, unsigned int z);
183 int mtx_inp_elem(const char *prompt, MTX_ELEM_VAL *mev, const int dtype);
185 MTX *mtx_init(const unsigned int order, const unsigned int elem_type, const unsigned int nx, const unsigned int ny, const unsigned int nz);
186 MTX *mtx_clr(MTX *mtx);
187 int mtx_free(MTX *mtx);
188 int mtx_elem_size(const int dt);
189 int mtx_check(const MTX *mtx, const char *func_name);
191 double norm_ang(double theta);
193 double simpson(const double xmin, const double xmax, const double *y, const int np);