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36 #ifndef _gstat_h
37 #define _gstat_h
39 #include "typedefs.h"
40 #include "statutil.h"
41 #include "mshift.h"
42 #include "rmpbc.h"
44 #ifdef __cplusplus
45 extern "C" {
46 #endif
48 /***********************************************
50 * A U T O C O R R E L A T I O N
52 ***********************************************/
54 real LegendreP(real x,unsigned long m);
56 #define eacNormal (1<<0)
57 #define eacCos (1<<1)
58 #define eacVector (1<<2)
59 #define eacRcross (1<<3 | eacVector)
60 #define eacP0 (1<<4 | eacVector)
61 #define eacP1 (1<<5 | eacVector)
62 #define eacP2 (1<<6 | eacVector)
63 #define eacP3 (1<<7 | eacVector)
64 #define eacP4 (1<<8 | eacVector)
65 #define eacIden (1<<9)
67 enum {
68 effnNONE, effnEXP1, effnEXP2, effnEXP3, effnVAC,
69 effnEXP5, effnEXP7, effnEXP9, effnERREST, effnNR
72 /* must correspond with 'leg' g_chi.c:727 */
73 enum { edPhi=0, edPsi, edOmega, edChi1, edChi2, edChi3, edChi4, edChi5, edChi6, edMax };
75 enum { edPrintST=0,edPrintRO } ;
77 #define NHISTO 360
78 #define NONCHI 3
79 #define MAXCHI edMax-NONCHI
80 #define NROT 4 /* number of rotamers: 1=g(-), 2=t, 3=g(+), 0=other */
82 typedef struct {
83 int minO,minC,H,N,C,O,Cn[MAXCHI+3];
84 } t_dihatms; /* Cn[0]=N, Cn[1]=Ca, Cn[2]=Cb etc. */
86 typedef struct {
87 char name[12];
88 int resnr;
89 int index; /* Index for amino acids (histograms) */
90 int j0[edMax]; /* Index in dih array (phi angle is first...) */
91 t_dihatms atm;
92 int b[edMax];
93 int ntr[edMax];
94 real S2[edMax];
95 real rot_occ[edMax][NROT];
97 } t_dlist;
99 extern int nfp_ffn[effnNR];
101 extern const char *s_ffn[effnNR+2];
103 extern const char *longs_ffn[effnNR];
105 int sffn2effn(const char **sffn);
106 /* Returns the ffn enum corresponding to the selected enum option in sffn */
108 t_pargs *add_acf_pargs(int *npargs,t_pargs *pa);
109 /* Add options for autocorr to the current set of options.
110 * *npargs must be initialised to the number of elements in pa,
111 * it will be incremented appropriately.
114 void cross_corr(int n,real f[],real g[],real corr[]);
115 /* Simple minded cross correlation algorithm */
117 real fit_acf(int ncorr,int fitfn,const output_env_t oenv,gmx_bool bVerbose,
118 real tbeginfit,real tendfit,real dt,real c1[],real *fit);
119 /* Fit an ACF to a given function */
121 void do_autocorr(const char *fn,const output_env_t oenv,
122 const char *title,
123 int nframes,int nitem,real **c1,
124 real dt,unsigned long mode,gmx_bool bAver);
125 /* Calls low_do_autocorr (see below). After calling add_acf_pargs */
127 void low_do_autocorr(const char *fn,const output_env_t oenv,
128 const char *title, int nframes,int nitem,
129 int nout,real **c1, real dt,unsigned long mode,
130 int nrestart, gmx_bool bAver,gmx_bool bNormalize,
131 gmx_bool bVerbose,real tbeginfit,real tendfit,
132 int nfitparm,int nskip);
134 * do_autocorr calculates autocorrelation functions for many things.
135 * It takes a 2 d array containing nitem arrays of length nframes
136 * for each item the ACF is calculated.
138 * A number of "modes" exist for computation of the ACF
140 * if (mode == eacNormal) {
141 * C(t) = < X (tau) * X (tau+t) >
143 * else if (mode == eacCos) {
144 * C(t) = < cos (X(tau) - X(tau+t)) >
146 * else if (mode == eacIden) { **not fully supported yet**
147 * C(t) = < (X(tau) == X(tau+t)) >
149 * else if (mode == eacVector) {
150 * C(t) = < X(tau) * X(tau+t)
152 * else if (mode == eacP1) {
153 * C(t) = < cos (X(tau) * X(tau+t) >
155 * else if (mode == eacP2) {
156 * C(t) = 1/2 * < 3 cos (X(tau) * X(tau+t) - 1 >
158 * else if (mode == eacRcross) {
159 * C(t) = < ( X(tau) * X(tau+t) )^2 >
162 * For modes eacVector, eacP1, eacP2 and eacRcross the input should be
163 * 3 x nframes long, where each triplet is taken as a 3D vector
165 * For mode eacCos inputdata must be in radians, not degrees!
167 * Other parameters are:
169 * fn is output filename (.xvg) where the correlation function(s) are printed
170 * title is the title in the output file
171 * nframes is the number of frames in the time series
172 * nitem is the number of items
173 * c1 is an array of dimension [ 0 .. nitem-1 ] [ 0 .. nframes-1 ]
174 * on output, this array is filled with the correlation function
175 * to reduce storage
176 * nrestart is the number of steps between restarts for direct ACFs
177 * (i.e. without FFT) When set to 1 all points are used as
178 * time origin for averaging
179 * dt is the time between frames
180 * bAver If set, all ndih C(t) functions are averaged into a single
181 * C(t)
182 * (bFour If set, will use fast fourier transform (FFT) for evaluating
183 * the ACF: removed option, now on the command line only)
184 * bNormalize If set, all ACFs will be normalized to start at 0
185 * nskip Determines whether steps a re skipped in the output
188 typedef struct {
189 const char *name; /* Description of the J coupling constant */
190 real A,B,C; /* Karplus coefficients */
191 real offset; /* Offset for dihedral angle in histogram (e.g. -M_PI/3) */
192 real Jc; /* Resulting Jcoupling */
193 real Jcsig; /* Standard deviation in Jc */
194 } t_karplus;
196 void calc_distribution_props(int nh,int histo[],
197 real start,int nkkk, t_karplus kkk[],
198 real *S2);
199 /* This routine takes a dihedral distribution and calculates
200 * coupling constants and dihedral order parameters of it.
202 * nh is the number of points
203 * histo is the array of datapoints which is assumed to span
204 * 2 M_PI radians
205 * start is the starting angle of the histogram, this can be either 0
206 * or -M_PI
207 * nkkk is the number of karplus sets (multiple coupling constants may be
208 * derived from a single angle)
209 * kkk are the constants for calculating J coupling constants using a
210 * Karplus equation according to
213 * J = A cos theta + B cos theta + C
215 * where theta is phi - offset (phi is the angle in the histogram)
216 * offset is subtracted from phi before substitution in the Karplus
217 * equation
218 * S2 is the resulting dihedral order parameter
223 /***********************************************
225 * F I T R O U T I N E S
227 ***********************************************/
228 void do_expfit(int ndata,real c1[],real dt,
229 real begintimefit,real endtimefit);
231 void expfit(int n, real x[], real y[], real Dy[],
232 real *a, real *sa,
233 real *b, real *sb);
234 /* This procedure fits y=exp(a+bx) for n (x,y) pairs to determine a and b.
235 * The uncertainties in the y values must be in the vector Dy.
236 * The standard deviations of a and b, sa and sb, are also calculated.
238 * Routine from Computers in physics, 7(3) (1993), p. 280-285.
241 void ana_dih_trans(const char *fn_trans,const char *fn_histo,
242 real **dih,int nframes,int nangles,
243 const char *grpname,real t0,real dt,gmx_bool bRb,
244 const output_env_t oenv);
246 * Analyse dihedral transitions, by counting transitions per dihedral
247 * and per frame. The total number of transitions is printed to
248 * stderr, as well as the average time between transitions.
250 * is wrapper to low_ana_dih_trans, which also passes in and out the
251 number of transitions per dihedral per residue. that uses struc dlist
252 which is not external, so pp2shift.h must be included.
254 * Dihedrals are supposed to be in either of three minima,
255 * (trans, gauche+, gauche-)
257 * fn_trans output file name for #transitions per timeframe
258 * fn_histo output file name for transition time histogram
259 * dih the actual dihedral angles
260 * nframes number of times frames
261 * nangles number of angles
262 * grpname a string for the header of plots
263 * t0,dt starting time resp. time between time frames
264 * bRb determines whether the polymer convention is used
265 * (trans = 0)
268 void low_ana_dih_trans(gmx_bool bTrans, const char *fn_trans,
269 gmx_bool bHisto, const char *fn_histo, int maxchi,
270 real **dih, int nlist, t_dlist dlist[],
271 int nframes, int nangles, const char *grpname,
272 int xity[], real t0, real dt, gmx_bool bRb,
273 real core_frac, const output_env_t oenv);
274 /* as above but passes dlist so can copy occupancies into it, and xity[]
275 * (1..nangles, corresp to dih[this][], so can have non-3 multiplicity of
276 * rotamers. Also production of xvg output files is conditional
277 * and the fractional width of each rotamer can be set ie for a 3 fold
278 * dihedral with core_frac = 0.5 only the central 60 degrees is assigned
279 * to each rotamer, the rest goes to rotamer zero */
283 void read_ang_dih(const char *trj_fn,
284 gmx_bool bAngles,gmx_bool bSaveAll,gmx_bool bRb,gmx_bool bPBC,
285 int maxangstat,int angstat[],
286 int *nframes,real **time,
287 int isize,atom_id index[],
288 real **trans_frac,
289 real **aver_angle,
290 real *dih[],
291 const output_env_t oenv);
293 * Read a trajectory and calculate angles and dihedrals.
295 * trj_fn file name of trajectory
296 * tpb_fn file name of tpb file
297 * bAngles do we have to read angles or dihedrals
298 * bSaveAll do we have to store all in the dih array
299 * bRb do we have Ryckaert-Bellemans dihedrals (trans = 0)
300 * bPBC compute angles module 2 Pi
301 * maxangstat number of entries in distribution array
302 * angstat angle distribution
303 * *nframes number of frames read
304 * time simulation time at each time frame
305 * isize number of entries in the index, when angles 3*number of angles
306 * else 4*number of angles
307 * index atom numbers that define the angles or dihedrals
308 * (i,j,k) resp (i,j,k,l)
309 * trans_frac number of dihedrals in trans
310 * aver_angle average angle at each time frame
311 * dih all angles at each time frame
314 void make_histo(FILE *log,
315 int ndata,real data[],int npoints,int histo[],
316 real minx,real maxx);
318 * Make a histogram from data. The min and max of the data array can
319 * be determined (if minx == 0 and maxx == 0)
320 * and the index in the histogram is computed from
321 * ind = npoints/(max(data) - min(data))
323 * log write error output to this file
324 * ndata number of points in data
325 * data data points
326 * npoints number of points in histogram
327 * histo histogram array. This is NOT set to zero, to allow you
328 * to add multiple histograms
329 * minx start of the histogram
330 * maxx end of the histogram
331 * if both are 0, these values are computed by the routine itself
334 void normalize_histo(int npoints,int histo[],real dx,real normhisto[]);
336 * Normalize a histogram so that the integral over the histo is 1
338 * npoints number of points in the histo array
339 * histo input histogram
340 * dx distance between points on the X-axis
341 * normhisto normalized output histogram
344 real fit_function(int eFitFn,real *parm,real x);
345 /* Returns the value of fit function eFitFn at x */
347 /* Use Levenberg-Marquardt method to fit to a nfitparm parameter exponential */
348 /* or to a transverse current autocorrelation function */
349 /* Or: "There is no KILL like OVERKILL", Dr. Ir. D. van der Spoel */
350 real do_lmfit(int ndata,real c1[],real sig[],real dt,real *x,
351 real begintimefit,real endtimefit,const output_env_t oenv,
352 gmx_bool bVerbose, int eFitFn,real fitparms[],int fix);
353 /* Returns integral.
354 * If x == NULL, the timestep dt will be used to create a time axis.
355 * fix fixes fit parameter i at it's starting value, when the i'th bit
356 * of fix is set.
359 real evaluate_integral(int n,real x[],real y[],real dy[],
360 real aver_start,real *stddev);
361 /* Integrate data in y, and, if given, use dy as weighting
362 * aver_start should be set to a value where the function has
363 * converged to 0.
366 real print_and_integrate(FILE *fp,int n,real dt,
367 real c[],real *fit,int nskip);
368 /* Integrate the data in c[] from 0 to n using trapezium rule.
369 * If fp != NULL output is written to it
370 * nskip determines whether all elements are written to the output file
371 * (written when i % nskip == 0)
372 * If fit != NULL the fit is also written.
375 int get_acfnout(void);
376 /* Return the output length for the correlation function
377 * Works only AFTER do_auto_corr has been called!
380 int get_acffitfn(void);
381 /* Return the fit function type.
382 * Works only AFTER do_auto_corr has been called!
385 /* Routines from pp2shift (anadih.c etc.) */
387 void do_pp2shifts(FILE *fp,int nframes,
388 int nlist,t_dlist dlist[],real **dih);
390 gmx_bool has_dihedral(int Dih,t_dlist *dl);
392 t_dlist *mk_dlist(FILE *log,
393 t_atoms *atoms, int *nlist,
394 gmx_bool bPhi, gmx_bool bPsi, gmx_bool bChi, gmx_bool bHChi,
395 int maxchi, int r0, gmx_residuetype_t rt);
397 void pr_dlist(FILE *fp,int nl,t_dlist dl[],real dt, int printtype,
398 gmx_bool bPhi, gmx_bool bPsi,gmx_bool bChi,gmx_bool bOmega, int maxchi);
400 int pr_trans(FILE *fp,int nl,t_dlist dl[],real dt,int Xi);
402 void mk_chi_lookup (int **lookup, int maxchi, real **dih,
403 int nlist, t_dlist dlist[]) ;
405 void mk_multiplicity_lookup (int *xity, int maxchi, real **dih,
406 int nlist, t_dlist dlist[],int nangle) ;
408 void get_chi_product_traj (real **dih,int nframes,int nangles,
409 int nlist,int maxchi, t_dlist dlist[],
410 real time[], int **lookup,int *xity,
411 gmx_bool bRb,gmx_bool bNormalize,
412 real core_frac,gmx_bool bAll,const char *fnall,
413 const output_env_t oenv);
415 void print_one (const output_env_t oenv, const char *base,
416 const char *name,
417 const char *title, const char *ylabel,int nf,
418 real time[],real data[]);
420 /* Routines from g_hbond */
421 void analyse_corr(int n,real t[],real ct[],real nt[],real kt[],
422 real sigma_ct[],real sigma_nt[],real sigma_kt[],
423 real fit_start,real temp,real smooth_tail_start,
424 const output_env_t oenv);
426 void compute_derivative(int nn,real x[],real y[],real dydx[]);
428 #ifdef __cplusplus
430 #endif
432 #endif