added mbicubic = symmetrized monotone cubic splines and added hopefully fast cast operators in templates.h

This commit is contained in:
Nicolas Robidoux 2010-02-13 01:46:00 +00:00
parent 31a8830f46
commit b0b7dc43e3
4 changed files with 691 additions and 18 deletions

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@ -2,6 +2,7 @@
if ENABLE_CXX
C_SOURCES = \
bicubic.cpp \
mbicubic.cpp \
yafrsmooth.cpp \
nohalo1.cpp \
snohalo1.cpp \
@ -12,6 +13,7 @@ else
C_SOURCES =
C_DIST = \
bicubic.cpp \
mbicubic.cpp \
yafrsmooth.cpp \
nohalo1.cpp \
snohalo1.cpp \

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@ -497,6 +497,7 @@ void
vips__interpolate_init( void )
{
extern GType vips_interpolate_bicubic_get_type( void );
extern GType vips_interpolate_mbicubic_get_type( void );
extern GType vips_interpolate_yafrsmooth_get_type( void );
extern GType vips_interpolate_nohalo1_get_type( void );
extern GType vips_interpolate_snohalo1_get_type( void );
@ -507,6 +508,7 @@ vips__interpolate_init( void )
#ifdef ENABLE_CXX
vips_interpolate_bicubic_get_type();
vips_interpolate_mbicubic_get_type();
vips_interpolate_yafrsmooth_get_type();
vips_interpolate_nohalo1_get_type();
vips_interpolate_snohalo1_get_type();

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@ -0,0 +1,642 @@
/* symmetrized monotone cubic splines
*/
/*
This file is part of VIPS.
VIPS is free software; you can redistribute it and/or modify it
under the terms of the GNU Lesser General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this program; if not, write to the Free
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA
*/
/*
These files are distributed with VIPS - http://www.vips.ecs.soton.ac.uk
*/
/*
* 2009-2010 (c) Nicolas Robidoux, John Cupitt, Eric Daoust and Adam
* Turcotte
*
* E. Daoust and A. Turcotte's symmetrized monotone cubic splines
* programming funded in part by two Google Summer of Code 2010 awards
* made to GIMP (Gnu Image Manipulation Program) and its library GEGL.
*
* Nicolas Robidoux thanks Chantal Racette, Ralf Meyer, Minglun Gong,
* Øyvind Kolås, Geert Jordaens and Sven Neumann for useful comments
* and code.
*/
/*
* mbicubic is the VIPS name of the symmetrized implementation in 2D
* of monotone cubic spline interpolation method a.k.a. MP-Quadratic
* (Monotonicity Preserving with derivative estimated by fitting a
* parabola (quadratic polynomial)) method, which essentially is
* Catmull-Rom with derivatives clamped with Fristsh and Carlson's
* "rule of 3" so as to ensure monotonicity.
*
* 1D MP-quadratic (for curve, not surface, interpolation) is
* described in
*
* Accurate Monotone Cubic Interpolation, by Hung T. Huynh, published
* in the SIAM Journal on Numerical Analysis, Volume 30, Issue 1
* (February 1993), pages 57-100, 1993. ISSN:0036-1429.
*
* and in NASA technical memorandum 103789, which can be downloaded
* from http://
* ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19910011517_1991011517.pdf
*
* In order to ensure reflexion symmetry about diagonal lines, 1D
* MP-quadratic is performed two different ways---horizontally then
* vertically, and vertically then horizontally---and
* averaged. (Symmetry about 45 degree lines is not automatically
* respected because MP-quadratic is a nonlinear method: interpolating
* horizontally then vertically does not necessarily give the same as
* interpolating vertically then horizontally.)
*/
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif /*HAVE_CONFIG_H*/
#include <vips/intl.h>
#include <stdio.h>
#include <stdlib.h>
#include <vips/vips.h>
#include <vips/internal.h>
#include "templates.h"
#define VIPS_TYPE_INTERPOLATE_MBICUBIC \
(vips_interpolate_mbicubic_get_type())
#define VIPS_INTERPOLATE_MBICUBIC( obj ) \
(G_TYPE_CHECK_INSTANCE_CAST( (obj), \
VIPS_TYPE_INTERPOLATE_MBICUBIC, VipsInterpolateMbicubic ))
#define VIPS_INTERPOLATE_MBICUBIC_CLASS( klass ) \
(G_TYPE_CHECK_CLASS_CAST( (klass), \
VIPS_TYPE_INTERPOLATE_MBICUBIC, VipsInterpolateMbicubicClass))
#define VIPS_IS_INTERPOLATE_MBICUBIC( obj ) \
(G_TYPE_CHECK_INSTANCE_TYPE( (obj), VIPS_TYPE_INTERPOLATE_MBICUBIC ))
#define VIPS_IS_INTERPOLATE_MBICUBIC_CLASS( klass ) \
(G_TYPE_CHECK_CLASS_TYPE( (klass), VIPS_TYPE_INTERPOLATE_MBICUBIC ))
#define VIPS_INTERPOLATE_MBICUBIC_GET_CLASS( obj ) \
(G_TYPE_INSTANCE_GET_CLASS( (obj), \
VIPS_TYPE_INTERPOLATE_MBICUBIC, VipsInterpolateMbicubicClass ))
typedef struct _VipsInterpolateMbicubic {
VipsInterpolate parent_object;
} VipsInterpolateMbicubic;
typedef struct _VipsInterpolateMbicubicClass {
VipsInterpolateClass parent_class;
} VipsInterpolateMbicubicClass;
/*
* MINMOD is an implementation of the minmod function which only needs
* two conditional moves.
*
* MINMOD(a,b,a_times_a,a_times_b) "returns" minmod(a,b). The
* parameter ("input") a_times_a is assumed to contain the square of
* a; the parameter a_times_b, the product of a and b.
*
* The version most suitable for images with flat (constant) colour
* areas, since a, which is a pixel difference, will often be 0, in
* which case both forward branches are likely:
*
* ( (a_times_b)>=0 ? 1. : 0. ) * ( (a_times_a)<=(a_times_b) ? (a) : (b) )
*
* For uncompressed natural images in high bit depth (images for which
* the slopes a and b are unlikely to be equal to zero or be equal to
* each other), we recommend using
*
* ( (a_times_b)>=0. ? 1. : 0. ) * ( (a_times_b)<(a_times_a) ? (b) : (a) )
*
* instead. With this second version, the forward branch of the second
* conditional move is taken when |b|>|a| and when a*b<0. However, the
* "else" branch is taken when a=0 (or when a=b), which is why this
* second version is not recommended for images with large regions
* with constant pixel values (or even, actually, regions with nearby
* pixel values which vary bilinearly, which may arise from dirt-cheap
* demosaicing or computer graphics operations).
*
* Both of the above use a multiplication instead of a nested
* "if-then-else" because gcc does not always rewrite the latter using
* conditional moves.
*
* Implementation note: Both of the above are better than FAST_MINMOD
* (currently found in templates.h and used by the "classic"
* implementations of the other Nohalo methods). Unfortunately, MINMOD
* uses different parameters and consequently is not a direct
* substitute. To be fixed in the future.
*
* Note that the two variants differ in whether (a) or (b) follows the
* forward branch. If there is a difference in likelihood, put the
* likely one in (a) in the first variant, and the likely one in (b)
* in the second.
*/
#define MINMOD(a,b,a_times_a,a_times_b) \
( (a_times_b)>=0. ? 1. : 0. ) * ( (a_times_b)<(a_times_a) ? (b) : (a) )
static inline double
mcubic( const double one,
const double two,
const double thr,
const double fou,
const double coef_thr_point,
const double half_coef_two_slope,
const double half_coef_thr_slope )
{
/*
* Computation of the slopes and slope limiters:
*
* Differences:
*/
const double prem = two - one;
const double deux = thr - two;
const double troi = fou - thr;
const double part = two + deux * coef_thr_point;
/*
* Products useful for the minmod computations:
*/
const double deux_prem = deux * prem;
const double deux_deux = deux * deux;
const double deux_troi = deux * troi;
/*
* Twice the horizontal limiter slopes (twice_lx) interwoven with
* twice the Catmull-Rom slopes (twice_sx). Because we have twice
* the Catmull-Rom slope, we need to use 6 times the minmod slope
* instead of the usual 3 (specified by the cited article).
*/
const double twice_lx_two =
6. * MINMOD( deux, prem, deux_deux, deux_prem );
const double twice_sx_two = deux + prem;
const double twice_lx_thr =
6. * MINMOD( deux, troi, deux_deux, deux_troi );
const double twice_sx_thr = deux + troi;
const double lx_lx_two = twice_lx_two * twice_lx_two;
const double lx_sx_two = twice_lx_two * twice_sx_two;
const double lx_lx_thr = twice_lx_thr * twice_lx_thr;
const double lx_sx_thr = twice_lx_thr * twice_sx_thr;
/*
* Result of the first interpolations along horizontal lines. Note
* that the Catmull-Rom slope almost always satisfies the
* monotonicity constraint, hence twice_sx is "likely" to be the one
* selected by minmod.
*/
const double newval =
part +
+ half_coef_two_slope
* MINMOD( twice_lx_two, twice_sx_two, lx_lx_two, lx_sx_two )
+ half_coef_thr_slope
* MINMOD( twice_lx_thr, twice_sx_thr, lx_lx_thr, lx_sx_thr );
return newval;
}
static inline double
symmetrized_monotone_cubic_splines( const double coef_rite_point,
const double coef_bot_point,
const double half_coef_left_slope,
const double half_coef_rite_slope,
const double half_coef_top_slope,
const double half_coef_bot_slope,
const double uno_one,
const double uno_two,
const double uno_thr,
const double uno_fou,
const double dos_one,
const double dos_two,
const double dos_thr,
const double dos_fou,
const double tre_one,
const double tre_two,
const double tre_thr,
const double tre_fou,
const double qua_one,
const double qua_two,
const double qua_thr,
const double qua_fou )
{
/*
* STENCIL (FOOTPRINT) OF INPUT VALUES:
*
* The stencil of Symmetrized Monotone Catmull-Rom is the same as
* the standard Catmull-Rom's:
*
* (ix-1,iy-1) (ix,iy-1) (ix+1,iy-1) (ix+2,iy-1)
* = uno_one = uno_two = uno_thr = uno_fou
*
* (ix-1,iy) (ix,iy) (ix+1,iy) (ix+2,iy)
* = dos_one = dos_two = dos_thr = dos_fou
* X
* (ix-1,iy+1) (ix,iy+1) (ix+1,iy+1) (ix+2,iy+1)
* = tre_one = tre_two = tre_thr = tre_fou
*
* (ix-1,iy+2) (ix,iy+2) (ix+1,iy+2) (ix+2,iy+2)
* = qua_one = qua_two = qua_thr = qua_fou
*
* where ix is the (pseudo-)floor of the requested left-to-right
* location ("X"), and iy is the floor of the requested up-to-down
* location.
*/
/*
* Outline of the computation:
*
* First, four horizontal cubic Hermite interpolations are performed
* to get values on the vertical line which passes through X, and
* then these four values are used to perform cubic Hermite
* interpolation in the vertical direction to get one approximation
* of the pixel value at X,
*
* Then, four vertical cubic Hermite interpolations are performed to
* get values on the horizontal line which passes through X, and
* then these four values are used to perform cubic Hermite
* interpolation in the horizontal direction to get another
* approximation of the pixel value at X,
*
* These two interpolated pixel values are then averaged.
*/
/*
* Computation of the slopes and slope limiters:
*
* Uno horizontal differences:
*/
const double uno = mcubic( uno_one,
uno_two,
uno_thr,
uno_fou,
coef_rite_point,
half_coef_left_slope,
half_coef_rite_slope );
/*
* Do the same with the other three horizontal lines.
*
* Dos horizontal line:
*/
const double dos = mcubic( dos_one,
dos_two,
dos_thr,
dos_fou,
coef_rite_point,
half_coef_left_slope,
half_coef_rite_slope );
/*
* Tre(s) horizontal line:
*/
const double tre = mcubic( tre_one,
tre_two,
tre_thr,
tre_fou,
coef_rite_point,
half_coef_left_slope,
half_coef_rite_slope );
/*
* Qua(ttro) horizontal line:
*/
const double qua = mcubic( qua_one,
qua_two,
qua_thr,
qua_fou,
coef_rite_point,
half_coef_left_slope,
half_coef_rite_slope );
/*
* Perform the interpolation along the one vertical line (filled
* with results obtained by interpolating along horizontal lines):
*/
const double partial_y = mcubic( uno,
dos,
tre,
qua,
coef_bot_point,
half_coef_top_slope,
half_coef_bot_slope );
/*
* Redo with four vertical lines (and the corresponding horizontal
* one).
*
* One:
*/
const double one = mcubic( uno_one,
dos_one,
tre_one,
qua_one,
coef_bot_point,
half_coef_top_slope,
half_coef_bot_slope );
/*
* Two:
*/
const double two = mcubic( uno_two,
dos_two,
tre_two,
qua_two,
coef_bot_point,
half_coef_top_slope,
half_coef_bot_slope );
/*
* Thr(ee):
*/
const double thr = mcubic( uno_thr,
dos_thr,
tre_thr,
qua_thr,
coef_bot_point,
half_coef_top_slope,
half_coef_bot_slope );
/*
* Fou(r):
*/
const double fou = mcubic( uno_fou,
dos_fou,
tre_fou,
qua_fou,
coef_bot_point,
half_coef_top_slope,
half_coef_bot_slope );
/*
* Final horizontal line of vertical results:
*/
const double prem_x = two - one;
const double deux_x = thr - two;
const double troi_x = fou - thr;
const double partial_newval = partial_y + two + coef_rite_point * deux_x;
const double deux_prem_x = deux_x * prem_x;
const double deux_deux_x = deux_x * deux_x;
const double deux_troi_x = deux_x * troi_x;
const double twice_l_two =
6. * MINMOD( deux_x, prem_x, deux_deux_x, deux_prem_x );
const double twice_s_two = deux_x + prem_x;
const double twice_l_thr =
6. * MINMOD( deux_x, troi_x, deux_deux_x, deux_troi_x );
const double twice_s_thr = deux_x + troi_x;
const double l_l_two = twice_l_two * twice_l_two;
const double l_s_two = twice_l_two * twice_s_two;
const double l_l_thr = twice_l_thr * twice_l_thr;
const double l_s_thr = twice_l_thr * twice_s_thr;
const double newval =
(
partial_newval
+
half_coef_left_slope
*
MINMOD( twice_l_two, twice_s_two, l_l_two, l_s_two )
+
half_coef_rite_slope
*
MINMOD( twice_l_thr, twice_s_thr, l_l_thr, l_l_thr )
) * .5;
return newval;
}
/*
* Call Snohalo with an conversion operator as a parameter.
*
* It would be nice to do this with templates somehow---for one thing
* this would allow code comments!---but we can't figure a clean way
* to do it.
*/
#define MBICUBIC_CONVERSION( conversion ) \
template <typename T> static void inline \
mbicubic_ ## conversion( PEL* restrict pout, \
const PEL* restrict pin, \
const int bands, \
const int lskip, \
const double x, \
const double y ) \
{ \
T* restrict out = (T *) pout; \
\
const T* restrict in = (T *) pin; \
\
const int uno_one_shift = -lskip - bands; \
const int uno_two_shift = -lskip ; \
const int uno_thr_shift = -lskip + bands; \
const int uno_fou_shift = -lskip + 2*bands; \
\
const int dos_one_shift = - bands; \
const int dos_two_shift = 0; \
const int dos_thr_shift = bands; \
const int dos_fou_shift = 2*bands; \
\
const int tre_one_shift = lskip - bands; \
const int tre_two_shift = lskip ; \
const int tre_thr_shift = lskip + bands; \
const int tre_fou_shift = lskip + 2*bands; \
\
const int qua_one_shift = 2*lskip - bands; \
const int qua_two_shift = 2*lskip ; \
const int qua_thr_shift = 2*lskip + bands; \
const int qua_fou_shift = 2*lskip + 2*bands; \
\
const double x_squared = x * x; \
const double y_squared = y * y; \
const double twice_x = x + x; \
const double twice_y = y + y; \
const double half_x_squared_minus_x = .5 * ( x_squared - x ); \
const double half_y_squared_minus_y = .5 * ( y_squared - y ); \
\
const double coef_rite_point = x_squared * ( 3. - twice_x ); \
const double coef_bot_point = y_squared * ( 3. - twice_y ); \
\
const double half_coef_rite_slope = x * half_x_squared_minus_x; \
const double half_coef_bot_slope = y * half_y_squared_minus_y; \
const double half_coef_left_slope = \
half_coef_rite_slope - half_x_squared_minus_x; \
const double half_coef_top_slope = \
half_coef_bot_slope - half_y_squared_minus_y; \
\
int band = bands; \
\
do \
{ \
const double double_result = \
symmetrized_monotone_cubic_splines( coef_rite_point, \
coef_bot_point, \
half_coef_left_slope, \
half_coef_rite_slope, \
half_coef_top_slope, \
half_coef_bot_slope, \
in[ uno_one_shift ], \
in[ uno_two_shift ], \
in[ uno_thr_shift ], \
in[ uno_fou_shift ], \
in[ dos_one_shift ], \
in[ dos_two_shift ], \
in[ dos_thr_shift ], \
in[ dos_fou_shift ], \
in[ tre_one_shift ], \
in[ tre_two_shift ], \
in[ tre_thr_shift ], \
in[ tre_fou_shift ], \
in[ qua_one_shift ], \
in[ qua_two_shift ], \
in[ qua_thr_shift ], \
in[ qua_fou_shift ] ); \
\
const T result = to_ ## conversion<T>( double_result ); \
in++; \
*out++ = result; \
} while (--band); \
}
MBICUBIC_CONVERSION( fptypes )
MBICUBIC_CONVERSION( withsign )
MBICUBIC_CONVERSION( nosign )
#define CALL( T, conversion ) \
mbicubic_ ## conversion<T>( out, \
p, \
bands, \
lskip, \
relative_x, \
relative_y );
/*
* We need C linkage:
*/
extern "C" {
G_DEFINE_TYPE( VipsInterpolateMbicubic, vips_interpolate_mbicubic,
VIPS_TYPE_INTERPOLATE );
}
static void
vips_interpolate_mbicubic_interpolate( VipsInterpolate* restrict interpolate,
PEL* restrict out,
REGION* restrict in,
double absolute_x,
double absolute_y )
{
/*
* Floor's surrogate FAST_PSEUDO_FLOOR is used to make sure that the
* transition through 0 is smooth. If it is known that absolute_x
* and absolute_y will never be less than 0, plain cast---that is,
* const int ix = absolute_x---should be used instead. Actually,
* any function which agrees with floor for non-integer values, and
* picks one of the two possibilities for integer values, can be
* used. FAST_PSEUDO_FLOOR fits the bill.
*
* Then, x is the x-coordinate of the sampling point relative to the
* position of the center of the convex hull of the 2x2 block of
* closest pixels. Similarly for y. Range of values: [-.5,.5).
*/
const int ix = FAST_PSEUDO_FLOOR( absolute_x );
const int iy = FAST_PSEUDO_FLOOR( absolute_y );
/*
* Move the pointer to (the first band of) the top/left pixel of the
* 2x2 group of pixel centers which contains the sampling location
* in its convex hull:
*/
const PEL* restrict p = (PEL *) IM_REGION_ADDR( in, ix, iy );
const double relative_x = absolute_x - ix;
const double relative_y = absolute_y - iy;
/*
* VIPS versions of Nicolas's pixel addressing values.
*/
const int actual_bands = in->im->Bands;
const int lskip = IM_REGION_LSKIP( in ) / IM_IMAGE_SIZEOF_ELEMENT( in->im );
/*
* Double the bands for complex images to account for the real and
* imaginary parts being computed independently:
*/
const int bands =
vips_bandfmt_iscomplex( in->im->BandFmt ) ? 2 * actual_bands : actual_bands;
switch( in->im->BandFmt ) {
case IM_BANDFMT_UCHAR:
CALL( unsigned char, nosign );
break;
case IM_BANDFMT_CHAR:
CALL( signed char, withsign );
break;
case IM_BANDFMT_USHORT:
CALL( unsigned short, nosign );
break;
case IM_BANDFMT_SHORT:
CALL( signed short, withsign );
break;
case IM_BANDFMT_UINT:
CALL( unsigned int, nosign );
break;
case IM_BANDFMT_INT:
CALL( signed int, withsign );
break;
/*
* Complex images are handled by doubling of bands.
*/
case IM_BANDFMT_FLOAT:
case IM_BANDFMT_COMPLEX:
CALL( float, fptypes );
break;
case IM_BANDFMT_DOUBLE:
case IM_BANDFMT_DPCOMPLEX:
CALL( double, fptypes );
break;
default:
g_assert( 0 );
break;
}
}
static void
vips_interpolate_mbicubic_class_init( VipsInterpolateMbicubicClass *klass )
{
GObjectClass *gobject_class = G_OBJECT_CLASS( klass );
VipsObjectClass *object_class = VIPS_OBJECT_CLASS( klass );
VipsInterpolateClass *interpolate_class =
VIPS_INTERPOLATE_CLASS( klass );
object_class->nickname = "mbicubic";
object_class->description = _( "Halo-free mbicubic" );
interpolate_class->interpolate = vips_interpolate_mbicubic_interpolate;
interpolate_class->window_size = 4;
}
static void
vips_interpolate_mbicubic_init( VipsInterpolateMbicubic *mbicubic )
{
}

View File

@ -4,7 +4,7 @@
/*
This file is part of VIPS.
VIPS is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2 of the License, or
@ -76,18 +76,45 @@
#endif
#endif
/*
* Various casts which assume that the data is already in range. (That
* is, they are to be used with monotone samplers.)
*/
template <typename T> static T inline
to_fptypes( const double val )
{
const T newval = val;
return( newval );
}
template <typename T> static T inline
to_withsign( const double val )
{
const int sign_of_val = 2 * ( val >= 0. ) - 1;
const int rounded_abs_val = .5 + sign_of_val * val;
const T newval = sign_of_val * rounded_abs_val;
return( newval );
}
template <typename T> static T inline
to_nosign( const double val )
{
const T newval = .5 + val;
return( newval );
}
/*
* Various bilinear implementation templates. Note that no clampling
* is used: There is an assumption that the data is such that
* over/underflow is not an issue:
*/
/*
/*
* Bilinear interpolation for float and double types. The first four
* inputs are weights, the last four are the corresponding pixel
* values:
*/
template <typename T> static T inline
bilinear_fptypes(
bilinear_fptypes(
const double w_times_z,
const double x_times_z,
const double w_times_y,
@ -106,11 +133,11 @@ bilinear_fptypes(
return( newval );
}
/*
/*
* Bilinear interpolation for signed integer types:
*/
template <typename T> static T inline
bilinear_withsign(
bilinear_withsign(
const double w_times_z,
const double x_times_z,
const double w_times_y,
@ -139,7 +166,7 @@ bilinear_withsign(
* Bilinear Interpolation for unsigned integer types:
*/
template <typename T> static T inline
bilinear_nosign(
bilinear_nosign(
const double w_times_z,
const double x_times_z,
const double w_times_y,
@ -153,7 +180,7 @@ bilinear_nosign(
w_times_z * tre_thr +
x_times_z * tre_thrfou +
w_times_y * trequa_thr +
x_times_y * trequa_thrfou +
x_times_y * trequa_thrfou +
0.5;
return( newval );
@ -166,32 +193,32 @@ bilinear_nosign(
/* Fixed-point integer bicubic, used for 8 and 16-bit types.
*/
template <typename T> static int inline
bicubic_int(
bicubic_int(
const T uno_one, const T uno_two, const T uno_thr, const T uno_fou,
const T dos_one, const T dos_two, const T dos_thr, const T dos_fou,
const T tre_one, const T tre_two, const T tre_thr, const T tre_fou,
const T qua_one, const T qua_two, const T qua_thr, const T qua_fou,
const int* restrict cx, const int* restrict cy )
{
const int r0 =
const int r0 =
(cx[0] * uno_one +
cx[1] * uno_two +
cx[2] * uno_thr +
cx[3] * uno_fou) >> VIPS_INTERPOLATE_SHIFT;
const int r1 =
const int r1 =
(cx[0] * dos_one +
cx[1] * dos_two +
cx[2] * dos_thr +
cx[3] * dos_fou) >> VIPS_INTERPOLATE_SHIFT;
const int r2 =
const int r2 =
(cx[0] * tre_one +
cx[1] * tre_two +
cx[2] * tre_thr +
cx[3] * tre_fou) >> VIPS_INTERPOLATE_SHIFT;
const int r3 =
const int r3 =
(cx[0] * qua_one +
cx[1] * qua_two +
cx[2] * qua_thr +
@ -203,17 +230,17 @@ bicubic_int(
cy[3] * r3) >> VIPS_INTERPOLATE_SHIFT );
}
/* Floating-point bicubic, used for int/float/double types.
/* Floating-point bicubic, used for int/float/double types.
*/
template <typename T> static T inline
bicubic_float(
bicubic_float(
const T uno_one, const T uno_two, const T uno_thr, const T uno_fou,
const T dos_one, const T dos_two, const T dos_thr, const T dos_fou,
const T tre_one, const T tre_two, const T tre_thr, const T tre_fou,
const T qua_one, const T qua_two, const T qua_thr, const T qua_fou,
const double* restrict cx, const double* restrict cy )
{
return(
return(
cy[0] * (cx[0] * uno_one +
cx[1] * uno_two +
cx[2] * uno_thr +
@ -235,9 +262,9 @@ bicubic_float(
cx[3] * qua_fou) );
}
/* Given an offset in [0,1] (we can have x == 1 when building tables),
* calculate c0, c1, c2, c3, the catmull-rom coefficients. This is called
* from the interpolator as well as from the table builder.
/* Given an offset in [0,1] (we can have x == 1 when building tables),
* calculate c0, c1, c2, c3, the catmull-rom coefficients. This is called
* from the interpolator as well as from the table builder.
*/
static void inline
calculate_coefficients_catmull( const double x, double c[4] )