/* The following code is copied nearly directly from lcms.
* I think it could be much better. For example, Argyll seems to have better code in
* icmTable_lookup_bwd and icmTable_setup_bwd. However, for now this is a quick way
* to a working solution and allows for easy comparing with lcms. */
uint16_fract_t lut_inverse_interp16(uint16_t Value, uint16_t LutTable[], int length, int NumZeroes, int NumPoles)
{
int l = 1;
int r = 0x10000;
int x = 0, res; // 'int' Give spacing for negative values
int cell0, cell1;
double val2;
double y0, y1, x0, x1;
double a, b, f;
// July/27 2001 - Expanded to handle degenerated curves with an arbitrary
// number of elements containing 0 at the beginning of the table (Zeroes)
// and another arbitrary number of poles (FFFFh) at the end.
// There are no zeros at the beginning and we are trying to find a zero, so
// return anything. It seems zero would be the less destructive choice
/* I'm not sure that this makes sense, but oh well... */
if (NumZeroes == 0 && Value == 0)
return 0;
// Does the curve belong to this case?
if (NumZeroes > 1 || NumPoles > 1)
{
int a, b, sample;
// Identify if value fall downto 0 or FFFF zone
if (Value == 0) return 0;
// if (Value == 0xFFFF) return 0xFFFF;
sample = (length-1) * ((double) Value * (1./65535.));
if (LutTable[sample] == 0xffff)
return 0xffff;
// else restrict to valid zone
a = ((NumZeroes-1) * 0xFFFF) / (length-1);
b = ((length-1 - NumPoles) * 0xFFFF) / (length-1);
l = a - 1;
r = b + 1;
// Ensure a valid binary search range
if (l < 1)
l = 1;
if (r > 0x10000)
r = 0x10000;
// If the search range is inverted due to degeneracy,
// deem LutTable non-invertible in this search range.
// Refer to https://bugzil.la/1132467
if (r <= l)
return 0;
}
// For input 0, return that to maintain black level. Note the binary search
// does not. For example, it inverts the standard sRGB gamma curve to 7 at
// the origin, causing a black level error.
if (Value == 0 && NumZeroes) {
return 0;
}
// Seems not a degenerated case... apply binary search
while (r > l) {
x = (l + r) / 2;
res = (int) lut_interp_linear16((uint16_fract_t) (x-1), LutTable, length);
if (res == Value) {
// Found exact match.
return (uint16_fract_t) (x - 1);
}
if (res > Value) r = x - 1;
else l = x + 1;
}
// Not found, should we interpolate?
// Get surrounding nodes
assert(x >= 1);
val2 = (length-1) * ((double) (x - 1) / 65535.0);
cell0 = (int) floor(val2);
cell1 = (int) ceil(val2);
assert(cell0 >= 0);
assert(cell1 >= 0);
assert(cell0 < length);
assert(cell1 < length);
if (cell0 == cell1) return (uint16_fract_t) x;
y0 = LutTable[cell0] ;
x0 = (65535.0 * cell0) / (length-1);
y1 = LutTable[cell1] ;
x1 = (65535.0 * cell1) / (length-1);
a = (y1 - y0) / (x1 - x0);
b = y0 - a * x0;
if (fabs(a) < 0.01) return (uint16_fract_t) x;
f = ((Value - b) / a);
if (f < 0.0) return (uint16_fract_t) 0;
if (f >= 65535.0) return (uint16_fract_t) 0xFFFF;
return (uint16_fract_t) floor(f + 0.5);
}
/* The following code is copied nearly directly from lcms.
* I think it could be much better. For example, Argyll seems to have better code in
* icmTable_lookup_bwd and icmTable_setup_bwd. However, for now this is a quick way
* to a working solution and allows for easy comparing with lcms. */
uint16_fract_t lut_inverse_interp16(uint16_t Value, uint16_t LutTable[], int length)
{
int l = 1;
int r = 0x10000;
int x = 0, res; // 'int' Give spacing for negative values
int NumZeroes, NumPoles;
int cell0, cell1;
double val2;
double y0, y1, x0, x1;
double a, b, f;
// July/27 2001 - Expanded to handle degenerated curves with an arbitrary
// number of elements containing 0 at the begining of the table (Zeroes)
// and another arbitrary number of poles (FFFFh) at the end.
// First the zero and pole extents are computed, then value is compared.
NumZeroes = 0;
while (LutTable[NumZeroes] == 0 && NumZeroes < length-1)
NumZeroes++;
// There are no zeros at the beginning and we are trying to find a zero, so
// return anything. It seems zero would be the less destructive choice
/* I'm not sure that this makes sense, but oh well... */
if (NumZeroes == 0 && Value == 0)
return 0;
NumPoles = 0;
while (LutTable[length-1- NumPoles] == 0xFFFF && NumPoles < length-1)
NumPoles++;
// Does the curve belong to this case?
if (NumZeroes > 1 || NumPoles > 1)
{
int a, b;
// Identify if value fall downto 0 or FFFF zone
if (Value == 0) return 0;
// if (Value == 0xFFFF) return 0xFFFF;
// else restrict to valid zone
a = ((NumZeroes-1) * 0xFFFF) / (length-1);
b = ((length-1 - NumPoles) * 0xFFFF) / (length-1);
l = a - 1;
r = b + 1;
}
// Seems not a degenerated case... apply binary search
while (r > l) {
x = (l + r) / 2;
res = (int) lut_interp_linear16((uint16_fract_t) (x-1), LutTable, length);
if (res == Value) {
// Found exact match.
return (uint16_fract_t) (x - 1);
}
if (res > Value) r = x - 1;
else l = x + 1;
}
// Not found, should we interpolate?
// Get surrounding nodes
val2 = (length-1) * ((double) (x - 1) / 65535.0);
cell0 = (int) floor(val2);
cell1 = (int) ceil(val2);
if (cell0 == cell1) return (uint16_fract_t) x;
y0 = LutTable[cell0] ;
x0 = (65535.0 * cell0) / (length-1);
y1 = LutTable[cell1] ;
x1 = (65535.0 * cell1) / (length-1);
a = (y1 - y0) / (x1 - x0);
b = y0 - a * x0;
if (fabs(a) < 0.01) return (uint16_fract_t) x;
f = ((Value - b) / a);
if (f < 0.0) return (uint16_fract_t) 0;
if (f >= 65535.0) return (uint16_fract_t) 0xFFFF;
return (uint16_fract_t) floor(f + 0.5);
}
