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/****************************************************************************
**
** Copyright (C) 2014 NVIDIA Corporation.
** Copyright (C) 2017 The Qt Company Ltd.
** Contact: https://www.qt.io/licensing/
**
** This file is part of Qt 3D Studio.
**
** $QT_BEGIN_LICENSE:GPL$
** Commercial License Usage
** Licensees holding valid commercial Qt licenses may use this file in
** accordance with the commercial license agreement provided with the
** Software or, alternatively, in accordance with the terms contained in
** a written agreement between you and The Qt Company. For licensing terms
** and conditions see https://www.qt.io/terms-conditions. For further
** information use the contact form at https://www.qt.io/contact-us.
**
** GNU General Public License Usage
** Alternatively, this file may be used under the terms of the GNU
** General Public License version 3 or (at your option) any later version
** approved by the KDE Free Qt Foundation. The licenses are as published by
** the Free Software Foundation and appearing in the file LICENSE.GPL3
** included in the packaging of this file. Please review the following
** information to ensure the GNU General Public License requirements will
** be met: https://www.gnu.org/licenses/gpl-3.0.html.
**
** $QT_END_LICENSE$
**
****************************************************************************/
// check out implementation from GPU Gems 1 and 2
float fade( in float x )
{
return( x * x * x * ( x * ( x * 6.0 - 15.0 ) + 10.0 ));
//return( x * x * ( 3.0 - 2.0 * x ) );
}
vec2 fade( in vec2 x )
{
return( x * x * x * ( x * ( x * 6.0 - 15.0 ) + 10.0 ));
//return( x * x * ( 3.0 - 2.0 * x ) );
}
vec3 fade( in vec3 x )
{
return( x * x * x * ( x * ( x * 6.0 - 15.0 ) + 10.0 ));
//return( x * x * ( 3.0 - 2.0 * x ) );
}
vec4 fade( in vec4 x )
{
return( x * x * x * ( x * ( x * 6.0 - 15.0 ) + 10.0 ));
//return( x * x * ( 3.0 - 2.0 * x ) );
}
float influence( in int hash, in float x )
{
return( x * texelFetch( randomGradient1D, ivec2(hash, 0), 0 ).x );
}
float influence( in int hash, in float x, in float y )
{
return( dot( vec2( x, y ), texelFetch( randomGradient2D, ivec2(hash, 0), 0 ).xy ) );
}
float influence( in int hash, in float x, in float y, in float z )
{
return( dot( vec3( x, y, z ), texelFetch( randomGradient3D, ivec2(hash, 0), 0 ).xyz ) );
}
float influence( in int hash, in float x, in float y, in float z, in float w )
{
return( dot( vec4( x, y, z, w ), texelFetch( randomGradient4D, ivec2(hash, 0), 0 ) ) );
}
float perlinNoise( in float pos )
{
float floorPos = floor( pos );
int intPos = int( floorPos );
float fracPos = pos - floorPos;
return( mix( influence( random255X( intPos ), fracPos ), influence( random255X( intPos+1 ), fracPos - 1.0 ), fade( fracPos ) ) );
}
float perlinNoise( in vec2 pos )
{
vec2 floorPos = floor( pos );
vec2 fracPos = pos - floorPos;
vec2 fadedPos = fade( fracPos );
int ax = random255X( int(floorPos.x) );
int bx = random255X( int(floorPos.x) + 1 );
int ay = random255Y( int(floorPos.y) );
int by = random255Y( int(floorPos.y) + 1 );
return( mix( mix( influence( ax^ay, fracPos.x, fracPos.y )
, influence( bx^ay, fracPos.x - 1.0, fracPos.y ), fadedPos.x )
, mix( influence( ax^by, fracPos.x, fracPos.y - 1.0 )
, influence( bx^by, fracPos.x - 1.0, fracPos.y - 1.0 ), fadedPos.x ), fadedPos.y ) );
}
float perlinNoise( in vec3 pos )
{
vec3 floorPos = floor( pos );
vec3 fracPos = pos - floorPos;
vec3 fadedPos = fade( fracPos );
int ax = random255X( int(floorPos.x) );
int bx = random255X( int(floorPos.x) + 1 );
int ay = random255Y( int(floorPos.y) );
int by = random255Y( int(floorPos.y) + 1 );
int az = random255Z( int(floorPos.z) );
int bz = random255Z( int(floorPos.z) + 1 );
int axay = ax ^ ay;
int bxay = bx ^ ay;
int axby = ax ^ by;
int bxby = bx ^ by;
return( mix( mix( mix( influence( axay^az, fracPos.x, fracPos.y, fracPos.z )
, influence( bxay^az, fracPos.x - 1.0, fracPos.y, fracPos.z ), fadedPos.x )
, mix( influence( axby^az, fracPos.x, fracPos.y - 1.0, fracPos.z )
, influence( bxby^az, fracPos.x - 1.0, fracPos.y - 1.0, fracPos.z ), fadedPos.x ), fadedPos.y )
, mix( mix( influence( axay^bz, fracPos.x, fracPos.y , fracPos.z - 1.0 )
, influence( bxay^bz, fracPos.x - 1.0, fracPos.y , fracPos.z - 1.0 ), fadedPos.x )
, mix( influence( axby^bz, fracPos.x, fracPos.y - 1.0, fracPos.z - 1.0 )
, influence( bxby^bz, fracPos.x - 1.0, fracPos.y - 1.0, fracPos.z - 1.0 ), fadedPos.x ), fadedPos.y ), fadedPos.z ) );
}
float perlinNoise( in vec4 pos )
{
vec4 floorPos = floor( pos );
vec4 fracPos = pos - floorPos;
vec4 fadedPos = fade( fracPos );
int ax = random255X( int(floorPos.x) );
int bx = random255X( int(floorPos.x) + 1 );
int ay = random255Y( int(floorPos.y) );
int by = random255Y( int(floorPos.y) + 1 );
int az = random255Z( int(floorPos.z) );
int bz = random255Z( int(floorPos.z) + 1 );
int aw = random255W( int(floorPos.w) );
int axay = ax ^ ay;
int bxay = bx ^ ay;
int axby = ax ^ by;
int bxby = bx ^ by;
float result[2];
for ( int i=0 ; i<2 ; i++ )
{
int azaw = az ^ aw;
int bzaw = bz ^ aw;
result[i] = mix( mix( mix( influence( axay^azaw, fracPos.x, fracPos.y, fracPos.z, fracPos.w )
, influence( bxay^azaw, fracPos.x - 1.0, fracPos.y, fracPos.z, fracPos.w ), fadedPos.x )
, mix( influence( axby^azaw, fracPos.x, fracPos.y - 1.0, fracPos.z, fracPos.w )
, influence( bxby^azaw, fracPos.x - 1.0, fracPos.y - 1.0, fracPos.z, fracPos.w ), fadedPos.x ), fadedPos.y )
, mix( mix( influence( axay^bzaw, fracPos.x, fracPos.y, fracPos.z - 1.0, fracPos.w )
, influence( bxay^bzaw, fracPos.x - 1.0, fracPos.y, fracPos.z - 1.0, fracPos.w ), fadedPos.x )
, mix( influence( axby^bzaw, fracPos.x, fracPos.y - 1.0, fracPos.z - 1.0, fracPos.w )
, influence( bxby^bzaw, fracPos.x - 1.0, fracPos.y - 1.0, fracPos.z - 1.0, fracPos.w ), fadedPos.x ), fadedPos.y ), fadedPos.z );
aw = random255W( int(floorPos.w) + 1 );
fracPos.w -= 1.0;
}
return( mix( result[0], result[1], fadedPos.w ) );
}
float summedPerlinNoise( in vec3 pos, in int terms, in bool absNoise )
{
float sum = 0.0;
float weight = 1.0;
vec3 p = pos;
while ( terms-- != 0 )
{
float noise = perlinNoise( p );
sum += weight * ( absNoise ? abs(noise) : noise );
p += p;
weight *= 0.5;
}
return( sum );
}
float summedPerlinNoise( in vec4 pos, in int terms, in bool absNoise )
{
float sum = 0.0;
float weight = 1.0;
vec4 p = pos;
while ( terms-- != 0 )
{
float noise = perlinNoise( p );
sum += weight * ( absNoise ? abs(noise) : noise );
p += p;
weight *= 0.5;
}
return( sum );
}
float perlinNoise( in vec3 pos, in float time, in int terms, in vec3 turbulenceWeight, in bool absoluteNoise, in bool applyMarble
, in bool applyDent, in float noiseBands, in float noiseThresholdHigh, in float noiseThresholdLow )
{
float noise = ( time == 0.0 ) ? summedPerlinNoise( pos, terms, absoluteNoise ) : summedPerlinNoise( vec4( pos, time ), terms, absoluteNoise );
if ( turbulenceWeight != vec3( 0.0, 0.0, 0.0 ) )
{
noise = sin( dot( pos, turbulenceWeight ) + noise );
}
if ( ! absoluteNoise )
{
noise = 0.5 * noise + 0.5; // scale [-1,1] to [0,1]
}
if ( applyMarble )
{
noise = cos( pos.x + 5.0 * noise ); // classic Perlin marble function, with magic 5.0
}
if ( applyDent )
{
noise = cube( noise );
}
if ( noiseBands != 1.0 )
{
// Create banding/stripes by using the fraction component only
noise *= noiseBands;
noise -= floor( noise );
noise += pow( 1.0 - noise, 20.0 );
}
if ( noiseThresholdLow < noiseThresholdHigh )
{
// clamp the noise
noise = clamp( ( noise - noiseThresholdLow ) / ( noiseThresholdHigh - noiseThresholdLow ), 0.0, 1.0 );
}
return( noise );
}
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