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flexinterpn.c
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/* flexinterpn
FORMAT: idata = flexinterpn(data, coords [, k, ks [, h [, t]]])
Input fields:
data up to 4D data
coords CxD (number of coords -by- number of dims) coordinates
k Kx1 interpolation kernel (see flexinterpn_method.m)
ks kernel sampling
h optional "hold" (default) value, default: 0.0
t if a coordinate range is given (see Note), apply 4x4
quaternion multiplication to range coordinates
Output fields:
idata interpolated data
Note: instead of a CxD array, a special 4xD array can be given. if the
for "row" are Inf, the following three rows are treated as
if they were used in Matlab's colon operator (row2:row3:row4)
this allows for very fast subsampling
% Version: v0.9d
% Build: 14062016
% Date: Jun-20 2014, 4:21 PM EST
% Author: Jochen Weber, SCAN Unit, Columbia University, NYC, NY, USA
% URL/Info: http://neuroelf.net/
% Copyright (c) 2010, 2014, Jochen Weber
% All rights reserved.
%
% Redistribution and use in source and binary forms, with or without
% modification, are permitted provided that the following conditions are met:
% * Redistributions of source code must retain the above copyright
% notice, this list of conditions and the following disclaimer.
% * Redistributions in binary form must reproduce the above copyright
% notice, this list of conditions and the following disclaimer in the
% documentation and/or other materials provided with the distribution.
% * Neither the name of Columbia University nor the
% names of its contributors may be used to endorse or promote products
% derived from this software without specific prior written permission.
%
% THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
% ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
% WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
% DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
% DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
% (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
% LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
% ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
% (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
% SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
/* Matlab default includes */
#include "mex.h"
#include "math.h"
/* faster isinf/isnan rejection */
#include "isinfnan.h"
/* simple quaternion multiplication */
#include "quattrans.h"
/* different kinds of jobs */
enum flexinterpn_jobkind {
coordslist = 0,
coordrange,
transrange
};
/* constants:
- default kernel weights pointer (linear interpolator)
- range safety margin (approx sqrt(eps) to ensure upper limit is hit)
- number of default weights
- default kernel stepsize */
const double
defkernelptr[3] = {0.0, 1.0, 0.0},
positivemargin = 0.0000000149,
negativemargin = -0.0000000149;
const int
defnrofweights = 3,
defstepsize = 1;
/* now come some preprocessor macros used to simplify code writing */
/* - if the sum of weights is not zero (the kernel was certainly used)
- store the (correctly weighted) sampled value
- else if the sample value still is non-zero (we yet have hit data)
- store the sampled value anyway (but we cannot re-weigh it !)
- else we didn't hit anything
- put in the default
- make sure samplev and sumv are in good shape for the next loop
>> NO SCOPE CHANGE */
#define ADD_TO_SAMPLED \
if (sumweights != 0.0) \
*sampled++ = sampleval / sumweights; \
else if (sampleval != 0.0) \
*sampled++ = sampleval; \
else \
*sampled++ = defsample; \
sampleval = sumweights = 0.0;
/* - add weighting to sum (for which we can also use the inner dim!)
- and add product with voxval to sample >> NO SCOPE CHANGE */
#define ADD_TO_SUM_AND_SAMPLE \
sumweights += weightval1; \
sampleval += weightval1 * voxval;
/* allocating the useweight/scoord/weights cache for all dims on coords */
#define ALLOCATE_COORD_CACHE \
weightptr1 = (double *) mxCalloc(nrofdims * kernelelements1, sizeof(double)); \
scoordptr1 = (int *) mxCalloc(nrofdims * kernelelements1, sizeof(int)); \
useweight1 = (unsigned char *) mxCalloc(nrofdims * kernelelements1, sizeof(unsigned char)); \
if ((weightptr1 == NULL) || \
(scoordptr1 == NULL) || \
(useweight1 == NULL)) { \
mxDestroyArray(*plhs); \
if (weightptr1 != NULL) mxFree(weightptr1); \
if (scoordptr1 != NULL) mxFree(scoordptr1); \
if (useweight1 != NULL) mxFree(useweight1); \
mexErrMsgTxt("Error allocating weight array(s)."); \
} \
SHIFT_CACHE_POINTERS(1,kernelsize1) \
if (nrofdims > 1) { \
GET_CACHEPTRS(2,1) \
if (nrofdims > 2) { \
GET_CACHEPTRS(3,2) \
if (nrofdims > 3) { \
GET_CACHEPTRS(4,3) \
} \
} \
}
/* freeing the coord-based cache */
#define ALLOCATE_COORD_CACHE_FREE \
SHIFT_CACHE_POINTERS(1,-kernelsize1) \
mxFree(useweight1); \
mxFree(scoordptr1); \
mxFree(weightptr1);
/* allocating the useweight/scoord/weights cache for one dim */
#define ALLOCATE_RANGE_CACHE(DIM) \
weightptr##DIM = (double *) mxCalloc( \
kernelelements##DIM * outputdim##DIM, sizeof(double)); \
scoordptr##DIM = (int *) mxCalloc( \
kernelelements##DIM * outputdim##DIM, sizeof(int)); \
useweight##DIM = (unsigned char *) mxCalloc( \
kernelelements##DIM * outputdim##DIM, sizeof(unsigned char)); \
ALLOCATE_RANGE_CACHE_CHECK(DIM)
#define ALLOCATE_RANGE_CACHE_FREE(DIM) \
ALLOCATE_RANGE_CACHE_FREE_SAFE(weightptr##DIM) \
ALLOCATE_RANGE_CACHE_FREE_SAFE(scoordptr##DIM) \
ALLOCATE_RANGE_CACHE_FREE_SAFE(useweight##DIM)
#define ALLOCATE_RANGE_CACHE_FREEALL \
ALLOCATE_RANGE_CACHE_FREE(1) \
ALLOCATE_RANGE_CACHE_FREE(2) \
ALLOCATE_RANGE_CACHE_FREE(3) \
ALLOCATE_RANGE_CACHE_FREE(4)
#define ALLOCATE_RANGE_CACHE_FREE_SAFE(PTR) \
if (PTR != NULL) \
mxFree(PTR);
#define ALLOCATE_RANGE_CACHE_CHECK(DIM) \
if ((weightptr##DIM == NULL) || \
(scoordptr##DIM == NULL) || \
(useweight##DIM == NULL)) { \
ALLOCATE_RANGE_CACHE_FREEALL \
mexErrMsgTxt("Error allocating memory for the weight caches."); \
}
/* single loop to cache all kernel values (for coordinate access)
>> ADDING ONE SCOPE TO FOLLOWING CODE ! */
#define CACHE_KERNEL_OPENLOOP(DIM) \
for ( \
kernelcount1 = -kernelsize##DIM; \
kernelcount1 <= kernelsize##DIM; \
++kernelcount1) {
/* caching samplecoords, etc. for one kernel dim */
#define CACHE_KERNEL_SPEC(DIM) \
samplecoord##DIM = basecoord##DIM - kernelcount1; \
kernelsubcoord##DIM = kernoffset##DIM - kernelcount1 * stepsize##DIM; \
if ((samplecoord##DIM < 0) || (samplecoord##DIM >= inputdim##DIM)) \
useweight##DIM[kernelcount1] = 0; \
else { \
kernelsubcoord##DIM = kernoffset##DIM - kernelcount1 * stepsize##DIM; \
if ((kernelsubcoord##DIM < kernellimneg##DIM) || \
(kernelsubcoord##DIM >= kernellimpos##DIM)) \
useweight##DIM[kernelcount1] = 0; \
else { \
useweight##DIM[kernelcount1] = 1; \
scoordptr##DIM[kernelcount1] = \
samplecoord##DIM * incindim##DIM; \
weightptr##DIM[kernelcount1] = \
(1.0 + coordval##DIM) * kernelptr##DIM[kernelsubcoord##DIM] \
- coordval##DIM * kernelptr##DIM[kernelsubcoord##DIM + 1]; \
} \
}
#define CACHE_KERNEL_SPEC_UPTO2 \
COMPUTE_KERNEL_OFFSET(1) \
COMPUTE_KERNEL_OFFSET(2) \
CACHE_KERNEL_OPENLOOP(1) \
CACHE_KERNEL_SPEC(1) \
CLOSE_LOOP \
CACHE_KERNEL_OPENLOOP(2) \
CACHE_KERNEL_SPEC(2) \
CLOSE_LOOP
#define CACHE_KERNEL_SPEC_UPTO3 \
COMPUTE_KERNEL_OFFSET(1) \
COMPUTE_KERNEL_OFFSET(2) \
COMPUTE_KERNEL_OFFSET(3) \
CACHE_KERNEL_OPENLOOP(1) \
CACHE_KERNEL_SPEC(1) \
CLOSE_LOOP \
CACHE_KERNEL_OPENLOOP(2) \
CACHE_KERNEL_SPEC(2) \
CLOSE_LOOP \
CACHE_KERNEL_OPENLOOP(3) \
CACHE_KERNEL_SPEC(3) \
CLOSE_LOOP
#define CACHE_KERNEL_SPEC_UPTO4 \
COMPUTE_KERNEL_OFFSET(1) \
COMPUTE_KERNEL_OFFSET(2) \
COMPUTE_KERNEL_OFFSET(3) \
COMPUTE_KERNEL_OFFSET(4) \
CACHE_KERNEL_OPENLOOP(1) \
CACHE_KERNEL_SPEC(1) \
CLOSE_LOOP \
CACHE_KERNEL_OPENLOOP(2) \
CACHE_KERNEL_SPEC(2) \
CLOSE_LOOP \
CACHE_KERNEL_OPENLOOP(3) \
CACHE_KERNEL_SPEC(3) \
CLOSE_LOOP \
CACHE_KERNEL_OPENLOOP(4) \
CACHE_KERNEL_SPEC(4) \
CLOSE_LOOP
#define CHECK_COORDDIM_STEP1(DIM) \
IF_IS_BAD_COORD_CONT(coordval##DIM)
#define CHECK_COORDDIM_STEP1_UPTO1 CHECK_COORDDIM_STEP1(1)
#define CHECK_COORDDIM_STEP1_UPTO2 CHECK_COORDDIM_STEP1_UPTO1 CHECK_COORDDIM_STEP1(2)
#define CHECK_COORDDIM_STEP1_UPTO3 CHECK_COORDDIM_STEP1_UPTO2 CHECK_COORDDIM_STEP1(3)
#define CHECK_COORDDIM_STEP1_UPTO4 CHECK_COORDDIM_STEP1_UPTO3 CHECK_COORDDIM_STEP1(4)
/* checking the range validity of a coordinate
- compute the base coordinate (nearest full voxel)
- if the base is outside the volume of data
- put default sample in output
and continue (with next coordinate) >> NO SCOPE CHANGE */
#define CHECK_COORDDIM_STEP2(DIM) \
basecoord##DIM = (int) floor(coordval##DIM + 0.5); \
if ((basecoord##DIM < 0) || \
(basecoord##DIM >= inputdim##DIM)) { \
*sampled++ = defsample; \
continue; \
}
#define CHECK_COORDDIM_STEP2_RANGE(DIM) \
basecoord##DIM = (int) floor(coordval##DIM + 0.5); \
if ((basecoord##DIM < 0) || \
(basecoord##DIM >= inputdim##DIM)) { \
for ( \
largecount = incoutdim##DIM; \
largecount > 0; \
--largecount) \
*sampled++ = defsample; \
continue; \
}
/* shortcuts to check dims 1 ... 4 >> NO SCOPE CHANGE */
#define CHECK_COORDDIM_STEP2_UPTO1 CHECK_COORDDIM_STEP2(1)
#define CHECK_COORDDIM_STEP2_UPTO2 CHECK_COORDDIM_STEP2_UPTO1 CHECK_COORDDIM_STEP2(2)
#define CHECK_COORDDIM_STEP2_UPTO3 CHECK_COORDDIM_STEP2_UPTO2 CHECK_COORDDIM_STEP2(3)
#define CHECK_COORDDIM_STEP2_UPTO4 CHECK_COORDDIM_STEP2_UPTO3 CHECK_COORDDIM_STEP2(4)
/* check the range of a dimension to see how many elements it takes;
the from and to value are reduced by 1 to take care of the Matlab
indexing, and also the security margin is added so that the range
truly hits the "to" value; if the test is successful the range is
once "walked" to determine the number of values in that dimension
- is the first element Inf or NaN?
- get the from coordinate (-1 for 0-based indices)
- get the stepsize for this dim
- get the "to" coordinate and add (or subtract) the error margin
- if stepsize is 0 or the range would be empty
- set coordrange to false
- otherwise
- set output dim to zero
- iterate from "from" to "to" by "step"
- and increase dim accordingly
- so the first element was not Inf or Nan?
- then set coordrange to false !
>> NO SCOPE CHANGE */
#define CHECK_GET_RANGE_OF_DIM(DIM) \
IF_IS_BAD_VAL(*coordptr##DIM) { \
coordfrom##DIM = coordptr##DIM[1] - 1.0; \
coordstep##DIM = coordptr##DIM[2]; \
coordto##DIM = coordptr##DIM[3] - 1.0 + \
(SIGN_OF_VALUE(coordstep##DIM) * positivemargin); \
if (((coordstep##DIM > 0.0) && \
(coordto##DIM > coordfrom##DIM)) || \
((coordstep##DIM < 0.0) && \
(coordto##DIM < coordfrom##DIM))) { \
outputdim##DIM = 0; \
dblstepsize##DIM = coordfrom##DIM; \
if (coordstep##DIM > 0.0) \
for (; \
dblstepsize##DIM <= coordto##DIM; \
dblstepsize##DIM += coordstep##DIM) \
++outputdim##DIM; \
else \
for (; \
dblstepsize##DIM >= coordto##DIM; \
dblstepsize##DIM += coordstep##DIM) \
++outputdim##DIM; \
} \
} else \
jobkind = coordslist;
/* closing a LOOP >> REDUCING SCOPE COUNT BY 1 !!! */
#define CLOSE_LOOP }
/* computing the offset into the kernel for that dim
- reduce value by the base coordinate
- compute the offset into the kernel >> NO SCOPE CHANGE */
#define COMPUTE_KERNEL_OFFSET(DIM) \
coordval##DIM -= (double) basecoord##DIM; \
kernoffset##DIM = -(int) ceil(dblstepsize##DIM * coordval##DIM); \
coordval##DIM += ((double) kernoffset##DIM) * dblstepsizequot##DIM; \
coordval##DIM *= dblstepsize##DIM; \
if (coordval##DIM > 0.0) { \
--coordval##DIM; \
--kernoffset##DIM; \
}
/* fills the cache for a range */
#define FILL_RANGE_CACHE(DIM) \
largecount = 0; \
for (coordcount##DIM = 0, \
coordpos##DIM = coordfrom##DIM; \
coordcount##DIM < outputdim##DIM; \
coordpos##DIM += coordstep##DIM, ++coordcount##DIM) { \
coordval##DIM = coordpos##DIM; \
basecoord##DIM = (int) floor(coordval##DIM + 0.5); \
if ((basecoord##DIM >= 0) && \
(basecoord##DIM < inputdim##DIM)) { \
coordval##DIM -= (double) basecoord##DIM; \
kernoffset##DIM = -(int) ceil(dblstepsize##DIM * coordval##DIM); \
coordval##DIM += ((double) kernoffset##DIM) * dblstepsizequot##DIM; \
coordval##DIM *= dblstepsize##DIM; \
if (coordval##DIM > 0.0) { \
--coordval##DIM; \
--kernoffset##DIM; \
} \
for ( \
kernelcount##DIM = -kernelsize##DIM; \
kernelcount##DIM <= kernelsize##DIM; \
++kernelcount##DIM) { \
samplecoord##DIM = basecoord##DIM - kernelcount##DIM; \
if ((samplecoord##DIM < 0) || \
(samplecoord##DIM >= inputdim##DIM)) { \
useweight##DIM[kernelcount##DIM + largecount] = 0; \
continue; \
} \
kernelsubcoord##DIM = \
kernoffset##DIM - kernelcount##DIM * stepsize##DIM; \
if ((kernelsubcoord##DIM < kernellimneg##DIM) || \
(kernelsubcoord##DIM >= kernellimpos##DIM)) { \
useweight##DIM[kernelcount##DIM + largecount] = 0; \
continue; \
} \
weightval##DIM = \
(1.0 + coordval##DIM) * kernelptr##DIM[kernelsubcoord##DIM] \
- coordval##DIM * kernelptr##DIM[kernelsubcoord##DIM + 1]; \
if ((weightval##DIM >= positivemargin) || \
(weightval##DIM <= negativemargin)) { \
useweight##DIM[kernelcount##DIM + largecount] = 1; \
scoordptr##DIM[kernelcount##DIM + largecount] = \
samplecoord##DIM * incindim##DIM; \
weightptr##DIM[kernelcount##DIM + largecount] = \
weightval##DIM; \
} else \
useweight##DIM[kernelcount##DIM + largecount] = 0; \
} \
} \
largecount += kernelelements##DIM; \
}
/* get cache pointers from previous dim */
#define GET_CACHEPTRS(DIM,FDIM) \
weightptr##DIM = &weightptr##FDIM[kernelelements1]; \
scoordptr##DIM = &scoordptr##FDIM[kernelelements1]; \
useweight##DIM = &useweight##FDIM[kernelelements1];
/* get coordinate value from array and
continue if inf/nan
then check the coordinate for data range >> NO SCOPE CHANGE */
#define GET_COORDDIM(DIM) \
coordval##DIM = *coordptr##DIM++ - 1.0; \
/* shortcuts for number of dimensions >> NO SCOPE CHANGE */
#define GET_COORD_UPTODIMS_1 GET_COORDDIM(1)
#define GET_COORD_UPTODIMS_2 GET_COORD_UPTODIMS_1 GET_COORDDIM(2)
#define GET_COORD_UPTODIMS_3 GET_COORD_UPTODIMS_2 GET_COORDDIM(3)
#define GET_COORD_UPTODIMS_4 GET_COORD_UPTODIMS_3 GET_COORDDIM(4)
/* get coord pointer and increments for dim */
#define GET_COORDPTR_AND_INC(DIM,FDIM) \
coordptr##DIM = &coordptr##FDIM [nrofcoords]; \
incindim##DIM = incindim##FDIM * inputdim##FDIM; \
inputdim##DIM = inputdim[FDIM];
/* compute the weights for two adjacent kernel elements as
the linear interpolation between the two */
#define GET_WEIGHT_ON_KDIM(DIM) \
weightval##DIM = \
(1.0 + coordval##DIM) * kernelptr##DIM[kernelsubcoord##DIM] \
- coordval##DIM * kernelptr##DIM[kernelsubcoord##DIM + 1];
/* put default value into output and continue for bad coordinates */
#define IF_IS_BAD_COORD_CONT(VAL) \
IF_IS_BAD_VAL(VAL) { \
*sampled++ = defsample; \
continue; \
}
/* (only) continue in the kernel sampling current dim ! */
#define IF_IS_BAD_VAL_CONT(VAL) \
IF_IS_BAD_VAL(VAL) \
continue;
/* kernel sampling inner loop when at least two dims are given */
#define INNER_LOOP_STATEMENTS(DATAPTR) \
OPEN_LOOP_KDIM_LOWER(1,2) \
voxval = (double) DATAPTR[samplecoord1]; \
ADD_TO_SUM_AND_SAMPLE \
CLOSE_LOOP
/* kernel sampling inner loop for multiple dims, check floating points */
#define INNER_LOOP_STATEMENTS_FP(DATAPTR) \
OPEN_LOOP_KDIM_LOWER(1,2) \
voxval = (double) DATAPTR[samplecoord1]; \
IF_IS_BAD_VAL_CONT(voxval) \
ADD_TO_SUM_AND_SAMPLE \
CLOSE_LOOP
/* kernel sampling inner loop when at least two dims are given */
#define INNER_LOOP_STATEMENTS_RANGE(DATAPTR) \
OPEN_LOOP_KDIM_RANGE_LOWER(1,2) \
voxval = (double) DATAPTR[samplecoord1]; \
ADD_TO_SUM_AND_SAMPLE \
CLOSE_LOOP
/* kernel sampling inner loop when at least two dims are given, FP check */
#define INNER_LOOP_STATEMENTS_RANGE_FP(DATAPTR) \
OPEN_LOOP_KDIM_RANGE_LOWER(1,2) \
voxval = (double) DATAPTR[samplecoord1]; \
IF_IS_BAD_VAL_CONT(voxval) \
ADD_TO_SUM_AND_SAMPLE \
CLOSE_LOOP
/* kernel sampling inner loop when only one dim is given */
#define INNER_LOOP_STATEMENTS_SINGLEDIM(DATAPTR) \
OPEN_LOOP_KDIM_SINGLE \
voxval = (double) DATAPTR[samplecoord1]; \
GET_WEIGHT_ON_KDIM(1) \
ADD_TO_SUM_AND_SAMPLE \
CLOSE_LOOP
/* kernel sampling inner loop when only one dim is given, FP check */
#define INNER_LOOP_STATEMENTS_SINGLEDIM_FP(DATAPTR) \
OPEN_LOOP_KDIM_SINGLE \
voxval = (double) DATAPTR[samplecoord1]; \
IF_IS_BAD_VAL_CONT(voxval) \
GET_WEIGHT_ON_KDIM(1) \
ADD_TO_SUM_AND_SAMPLE \
CLOSE_LOOP
/* open loop over coordinates */
#define OPEN_LOOP_COORDS \
for ( \
coordcount = nrofcoords; \
coordcount > 0; \
--coordcount) { \
/* open loop to iterate over one dim of the kernel */
#define OPEN_LOOP_KDIM(DIM) \
for ( \
kernelcount##DIM = -kernelsize##DIM; \
kernelcount##DIM <= kernelsize##DIM; \
++kernelcount##DIM) { \
if (useweight##DIM[kernelcount##DIM] == 0) \
continue; \
samplecoord##DIM = scoordptr##DIM[kernelcount##DIM]; \
weightval##DIM = weightptr##DIM[kernelcount##DIM]; \
/* open loop to iterate over one dim of the kernel */
#define OPEN_LOOP_KDIM_LOWER(DIM,UDIM) \
for ( \
kernelcount##DIM = -kernelsize##DIM; \
kernelcount##DIM <= kernelsize##DIM; \
++kernelcount##DIM) { \
if (useweight##DIM[kernelcount##DIM] == 0) \
continue; \
samplecoord##DIM = \
samplecoord##UDIM + scoordptr##DIM[kernelcount##DIM]; \
weightval##DIM = \
weightval##UDIM * weightptr##DIM[kernelcount##DIM];
/* open loop to iterate over one dim of the kernel (cached weights) */
#define OPEN_LOOP_KDIM_RANGE(DIM) \
for ( \
kernelcount##DIM = -kernelsize##DIM; \
kernelcount##DIM <= kernelsize##DIM; \
++kernelcount##DIM) { \
if (useweight##DIM[cachepos##DIM + kernelcount##DIM] == 0) \
continue; \
samplecoord##DIM = \
scoordptr##DIM[cachepos##DIM + kernelcount##DIM]; \
weightval##DIM = \
weightptr##DIM[cachepos##DIM + kernelcount##DIM];
/* open loop to iterate over one dim of the kernel (cached weights) */
#define OPEN_LOOP_KDIM_RANGE_LOWER(DIM,UDIM) \
for ( \
kernelcount##DIM = -kernelsize##DIM; \
kernelcount##DIM <= kernelsize##DIM; \
++kernelcount##DIM) { \
if (useweight##DIM[cachepos##DIM + kernelcount##DIM] == 0) \
continue; \
samplecoord##DIM = samplecoord##UDIM + \
scoordptr##DIM[cachepos##DIM + kernelcount##DIM]; \
weightval##DIM = weightval##UDIM * \
weightptr##DIM[cachepos##DIM + kernelcount##DIM];
/* open loop to iterate over single dim of the kernel */
#define OPEN_LOOP_KDIM_SINGLE \
for ( \
kernelcount1 = -kernelsize1; \
kernelcount1 <= kernelsize1; \
++kernelcount1) { \
samplecoord1 = \
basecoord1 - kernelcount1; \
if ((samplecoord1 < 0) || \
(samplecoord1 >= inputdim1)) \
continue; \
kernelsubcoord1 = \
kernoffset1 - kernelcount1 * stepsize1; \
if ((kernelsubcoord1 < kernellimneg1) || \
(kernelsubcoord1 >= kernellimpos1)) \
continue;
/* open a loop for one of the range dims */
#define OPEN_RANGE_LOOP_DIM(DIM) \
for ( \
cachepos##DIM = -kernelelements##DIM, \
coordpos##DIM = coordfrom##DIM, \
coordcount##DIM = outputdim##DIM; \
coordcount##DIM > 0; \
--coordcount##DIM) { \
cachepos##DIM += kernelelements##DIM; \
coordval##DIM = coordpos##DIM; \
coordpos##DIM += coordstep##DIM; \
CHECK_COORDDIM_STEP2_RANGE(DIM)
#define OPEN_RANGE_LOOP_DIMS1 OPEN_RANGE_LOOP_SINGLEDIM
#define OPEN_RANGE_LOOP_DIMS2 OPEN_RANGE_LOOP_DIM(2) OPEN_RANGE_LOOP_DIM(1)
#define OPEN_RANGE_LOOP_DIMS3 OPEN_RANGE_LOOP_DIM(3) OPEN_RANGE_LOOP_DIMS2
#define OPEN_RANGE_LOOP_DIMS4 OPEN_RANGE_LOOP_DIM(4) OPEN_RANGE_LOOP_DIMS3
/* open a loop for one of the range dims */
#define OPEN_RANGE_LOOP_SINGLEDIM \
for ( \
coordpos1 = coordfrom1, \
coordcount1 = outputdim1; \
coordcount1 > 0; \
--coordcount1) { \
coordval1 = coordpos1; \
coordpos1 += coordstep1; \
CHECK_COORDDIM_STEP2_RANGE(1)
/* open a loop for one of the range dims */
#define OPEN_TRANGE_LOOP_DIM(DIM) \
for ( \
coordpos##DIM = coordfrom##DIM, \
coordcount##DIM = outputdim##DIM; \
coordcount##DIM > 0; \
--coordcount##DIM) { \
coordpos##DIM += coordstep##DIM;
/* open a loop for one of the range dims for caching */
#define PREPARE_COORDS_AND_KERNEL_FOR_DIM2 \
GET_COORD_UPTODIMS_2 \
CHECK_COORDDIM_STEP1_UPTO2 \
CHECK_COORDDIM_STEP2_UPTO2 \
CACHE_KERNEL_SPEC_UPTO2
#define PREPARE_COORDS_AND_KERNEL_FOR_DIM3 \
GET_COORD_UPTODIMS_3 \
CHECK_COORDDIM_STEP1_UPTO3 \
CHECK_COORDDIM_STEP2_UPTO3 \
CACHE_KERNEL_SPEC_UPTO3
#define PREPARE_COORDS_AND_KERNEL_FOR_DIM4 \
GET_COORD_UPTODIMS_4 \
CHECK_COORDDIM_STEP1_UPTO4 \
CHECK_COORDDIM_STEP2_UPTO4 \
CACHE_KERNEL_SPEC_UPTO4
/* sign of value */
#define SIGN_OF_VALUE(VAL) ((VAL < 0.0) ? -1.0 : 1.0)
/* shift all cache pointers */
#define SHIFT_CACHE_POINTERS(DIM,POS) \
SHIFT_POINTER(weightptr##DIM,POS) \
SHIFT_POINTER(scoordptr##DIM,POS) \
SHIFT_POINTER(useweight##DIM,POS)
/* shift a pointer */
#define SHIFT_POINTER(PTR,SHIFT) PTR = &PTR[SHIFT];
#define SWITCH_COORDS_OVER_DIMS(DATAPTR,DATATYPE) \
DATAPTR = (const DATATYPE *) inputvoid; \
switch (nrofdims) { \
case 1: \
OPEN_LOOP_COORDS \
GET_COORD_UPTODIMS_1 \
CHECK_COORDDIM_STEP1_UPTO1 \
CHECK_COORDDIM_STEP2_UPTO1 \
COMPUTE_KERNEL_OFFSET(1) \
INNER_LOOP_STATEMENTS_SINGLEDIM(DATAPTR) \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 2: \
OPEN_LOOP_COORDS \
PREPARE_COORDS_AND_KERNEL_FOR_DIM2 \
OPEN_LOOP_KDIM(2) \
INNER_LOOP_STATEMENTS(DATAPTR) \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 3: \
OPEN_LOOP_COORDS \
PREPARE_COORDS_AND_KERNEL_FOR_DIM3 \
OPEN_LOOP_KDIM(3) \
OPEN_LOOP_KDIM_LOWER(2,3) \
INNER_LOOP_STATEMENTS(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 4: \
OPEN_LOOP_COORDS \
PREPARE_COORDS_AND_KERNEL_FOR_DIM4 \
OPEN_LOOP_KDIM(4) \
OPEN_LOOP_KDIM_LOWER(3,4) \
OPEN_LOOP_KDIM_LOWER(2,3) \
INNER_LOOP_STATEMENTS(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
}
#define SWITCH_COORDS_OVER_DIMS_FP(DATAPTR, DATATYPE) \
DATAPTR = (const DATATYPE *) inputvoid; \
switch (nrofdims) { \
case 1: \
OPEN_LOOP_COORDS \
GET_COORD_UPTODIMS_1 \
CHECK_COORDDIM_STEP1_UPTO1 \
CHECK_COORDDIM_STEP2_UPTO1 \
COMPUTE_KERNEL_OFFSET(1) \
INNER_LOOP_STATEMENTS_SINGLEDIM_FP(DATAPTR) \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 2: \
OPEN_LOOP_COORDS \
PREPARE_COORDS_AND_KERNEL_FOR_DIM2 \
OPEN_LOOP_KDIM(2) \
INNER_LOOP_STATEMENTS_FP(DATAPTR) \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 3: \
OPEN_LOOP_COORDS \
PREPARE_COORDS_AND_KERNEL_FOR_DIM3 \
OPEN_LOOP_KDIM(3) \
OPEN_LOOP_KDIM_LOWER(2,3) \
INNER_LOOP_STATEMENTS_FP(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 4: \
OPEN_LOOP_COORDS \
PREPARE_COORDS_AND_KERNEL_FOR_DIM4 \
OPEN_LOOP_KDIM(4) \
OPEN_LOOP_KDIM_LOWER(3,4) \
OPEN_LOOP_KDIM_LOWER(2,3) \
INNER_LOOP_STATEMENTS_FP(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
}
/* switch over nrofdims for one datatype, coordrange */
#define SWITCH_CRANGE_OVER_DIMS(DATAPTR,DATATYPE) \
DATAPTR = (const DATATYPE *) inputvoid; \
switch (nrofdims) { \
case 1: \
OPEN_RANGE_LOOP_DIMS1 \
COMPUTE_KERNEL_OFFSET(1) \
INNER_LOOP_STATEMENTS_SINGLEDIM(DATAPTR) \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 2: \
OPEN_RANGE_LOOP_DIMS2 \
OPEN_LOOP_KDIM_RANGE(2) \
INNER_LOOP_STATEMENTS_RANGE(DATAPTR) \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
CLOSE_LOOP \
break; \
case 3: \
OPEN_RANGE_LOOP_DIMS3 \
OPEN_LOOP_KDIM_RANGE(3) \
OPEN_LOOP_KDIM_RANGE_LOWER(2,3) \
INNER_LOOP_STATEMENTS_RANGE(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
break; \
case 4: \
OPEN_RANGE_LOOP_DIMS4 \
OPEN_LOOP_KDIM_RANGE(4) \
OPEN_LOOP_KDIM_RANGE_LOWER(3,4) \
OPEN_LOOP_KDIM_RANGE_LOWER(2,3) \
INNER_LOOP_STATEMENTS_RANGE(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
break; \
}
/* switch over nrofdims for one datatype, coordrange, FP check */
#define SWITCH_CRANGE_OVER_DIMS_FP(DATAPTR,DATATYPE) \
DATAPTR = (const DATATYPE *) inputvoid; \
switch (nrofdims) { \
case 1: \
OPEN_RANGE_LOOP_DIMS1 \
COMPUTE_KERNEL_OFFSET(1) \
INNER_LOOP_STATEMENTS_SINGLEDIM_FP(DATAPTR) \
ADD_TO_SAMPLED \
CLOSE_LOOP \
break; \
case 2: \
OPEN_RANGE_LOOP_DIMS2 \
OPEN_LOOP_KDIM_RANGE(2) \
INNER_LOOP_STATEMENTS_RANGE_FP(DATAPTR) \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
CLOSE_LOOP \
break; \
case 3: \
OPEN_RANGE_LOOP_DIMS3 \
OPEN_LOOP_KDIM_RANGE(3) \
OPEN_LOOP_KDIM_RANGE_LOWER(2,3) \
INNER_LOOP_STATEMENTS_RANGE_FP(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
break; \
case 4: \
OPEN_RANGE_LOOP_DIMS4 \
OPEN_LOOP_KDIM_RANGE(4) \
OPEN_LOOP_KDIM_RANGE_LOWER(3,4) \
OPEN_LOOP_KDIM_RANGE_LOWER(2,3) \
INNER_LOOP_STATEMENTS_RANGE_FP(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP \
break; \
}
/* a range of coordinates to be transformed, nrofdims == 3 ! */
#define SWITCH_TRANGE_OVER_DIMS(DATAPTR,DATATYPE) \
DATAPTR = (const DATATYPE *) inputvoid; \
coordfrom1 += (1.0 - coordstep1); \
coordfrom2 += (1.0 - coordstep2); \
coordfrom3 += (1.0 - coordstep3); \
OPEN_TRANGE_LOOP_DIM(3) \
OPEN_TRANGE_LOOP_DIM(2) \
OPEN_TRANGE_LOOP_DIM(1) \
coordval3 = coordpos3; \
coordval2 = coordpos2; \
coordval1 = coordpos1; \
QUAT_MULT_0B(coordval1, coordval2, coordval3) \
CHECK_COORDDIM_STEP2_UPTO3 \
CACHE_KERNEL_SPEC_UPTO3 \
OPEN_LOOP_KDIM(3) \
OPEN_LOOP_KDIM_LOWER(2,3) \
INNER_LOOP_STATEMENTS_FP(DATAPTR) \
CLOSE_LOOP \
CLOSE_LOOP \
ADD_TO_SAMPLED \
CLOSE_LOOP \
CLOSE_LOOP \
CLOSE_LOOP
/* make name1, name2, name3, name4 (for variable lists) */
#define VARNAME_MAKE4(NAME) \
NAME##1 , \
NAME##2 , \
NAME##3 , \
NAME##4
/* make name1, name2, name3, name4 (for variable lists) */
#define VARNAME_MAKE4I(NAME,VAL) \
NAME##1 = VAL , \
NAME##2 = VAL , \
NAME##3 = VAL , \
NAME##4 = VAL
/* make *name1, *name2, *name3, *name4 (for pointer lists) */
#define VARNAME_MAKE4P(NAME) \
* NAME##1 = NULL , \
* NAME##2 = NULL , \
* NAME##3 = NULL , \
* NAME##4 = NULL
/* main function (mexFunction)
- Number of Left Hand Side,
- Pointer to Left Hand Side,
- Number of Right Hand Side,
- Point to Right Hand Side (const) */
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])
{
/* various variable definitions */
/* debugging ? */
/* char vstr[256]; */
/* - flag: coordinates list (CxD) or range (4xD with 1. row Inf/NaN) */
enum flexinterpn_jobkind jobkind = coordslist;
/* - data dim pointer,
- coordinate dim pointer,
- weight dim pointer,
- output dim array/pointer and vars */
const int
*inputdim,
*coorddim,
*weightdim;
/* - pointers to coordinates
- pointer to weights
- pointer to the input 1x1 stepsize double
- default sample value pointer
- quaternion pointer */
const double
VARNAME_MAKE4P(coordptr) ,
VARNAME_MAKE4P(kernelptr) ,
*stepsizeptr,
*quotptr;
/* - input data pointers */
const void *inputvoid;
const double *inputdbl;
const float *inputflt;
const unsigned int *inputul;
const signed int *inputsl;
const unsigned short *inputus;
const signed short *inputss;
const unsigned char *inputuc;
const signed char *inputsc;
/* - cell array access */
const mxArray *ckernelptr, *ckernelsize;
/* cheaper isinf / isnan test helpers */
VARS_FOR_ISINFNAN
/* - coordinate counter,
- number of data dims,
- number of coordinates,
- number of elements,
- number of weights in kernel
- input class ID
- size of output array
- base (nearest voxel) and sample (plus kernel steps) coordinates
- position within one dims' cache
- counter for the output range (outputdim)
- step size in int
- input dims (for fast comparison with base coords)
- dimension increments for input and output
- a "large" counter
- negative and positive kernel "limits" (so as not to access beyond)
- kernel offsets and subcoordinates */
int
coordcount,
nrofdims,
nrofcoords,
nrofelems = 1,
VARNAME_MAKE4I(nrofweights, 1) ,
inputclass = -1,
inputdimx[4] = {1, 1, 1, 1},
outputdim[4] = {1, 1, 1, 1},
VARNAME_MAKE4(basecoord) ,
VARNAME_MAKE4(samplecoord) ,
VARNAME_MAKE4(cachepos) ,
VARNAME_MAKE4(coordcount) ,
VARNAME_MAKE4P(scoordptr) ,
VARNAME_MAKE4I(stepsize, 1) ,
VARNAME_MAKE4I(inputdim, 1) ,
VARNAME_MAKE4I(incindim, 1) ,
VARNAME_MAKE4I(outputdim, 1) ,
VARNAME_MAKE4I(incoutdim, 1) ,
largecount,
VARNAME_MAKE4I(kernellimpos, 0) ,
VARNAME_MAKE4I(kernellimneg, 0) ,
VARNAME_MAKE4I(kernelelements, 1) ,
VARNAME_MAKE4(kernoffset) ,
VARNAME_MAKE4(kernelsubcoord) ;
/* - double for value from input data (casted)
- sample value (must be 0.0 to begin with!)
- interpolation weight sum (must be 0.0 to begin with!)
- sampled data pointer
- default value
- sample coordinate values and weight values
- pointer to shortlist of weights for given coordinate
- range (4 dims, from, to, step and pos for counter, 0-based)
- kernel stepsize as double
- and 1 / stepsize, for fast computation
- testvalue for isinfnan cheap method */
double
voxval,
sampleval = 0.0,
sumweights = 0.0,
*sampled,
defsample = 0.0,
VARNAME_MAKE4(coordval) ,
VARNAME_MAKE4(weightval) ,
VARNAME_MAKE4P(weightptr) ,
VARNAME_MAKE4I(coordfrom, 0.0) ,
VARNAME_MAKE4I(coordto, 1.0) ,
VARNAME_MAKE4I(coordstep, 1.0) ,
VARNAME_MAKE4I(coordpos, 0.0) ,
VARNAME_MAKE4(dblstepsize) ,
VARNAME_MAKE4(dblstepsizequot) ;
/* quaternion rotation variables */
QUATVARS
/* - shortlist flags, whether to use the weight or not */