blender/intern/cycles/kernel/svm/svm_noise.h

/*
 * Adapted from Open Shading Language with this license:
 *
 * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
 * All Rights Reserved.
 *
 * Modifications Copyright 2011, Blender Foundation.
 * 
 * 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 Sony Pictures Imageworks 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
 * OWNER OR CONTRIBUTORS 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.
 */

CCL_NAMESPACE_BEGIN

#ifndef __KERNEL_SSE2__
ccl_device int quick_floor(float x)
{
	return float_to_int(x) - ((x < 0) ? 1 : 0);
}
#else
ccl_device_inline ssei quick_floor_sse(const ssef& x)
{
	ssei b = truncatei(x);
	ssei isneg = cast((x < ssef(0.0f)).m128);
	return b + isneg; // unsaturated add 0xffffffff is the same as subtract -1
}
#endif

#ifndef __KERNEL_SSE2__
ccl_device float bits_to_01(uint bits)
{
	return bits * (1.0f/(float)0xFFFFFFFF);
}
#else
ccl_device_inline ssef bits_to_01_sse(const ssei& bits)
{
	return uint32_to_float(bits) * ssef(1.0f/(float)0xFFFFFFFF);
}
#endif

ccl_device uint hash(uint kx, uint ky, uint kz)
{
	// define some handy macros
#define rot(x,k) (((x)<<(k)) | ((x)>>(32-(k))))
#define final(a,b,c) \
{ \
	c ^= b; c -= rot(b,14); \
	a ^= c; a -= rot(c,11); \
	b ^= a; b -= rot(a,25); \
	c ^= b; c -= rot(b,16); \
	a ^= c; a -= rot(c,4);  \
	b ^= a; b -= rot(a,14); \
	c ^= b; c -= rot(b,24); \
}
	// now hash the data!
	uint a, b, c, len = 3;
	a = b = c = 0xdeadbeef + (len << 2) + 13;

	c += kz;
	b += ky;
	a += kx;
	final(a, b, c);

	return c;
	// macros not needed anymore
#undef rot
#undef final
}

#ifdef __KERNEL_SSE2__
ccl_device_inline ssei hash_sse(const ssei& kx, const ssei& ky, const ssei& kz)
{
#define rot(x,k) (((x)<<(k)) | (srl(x, 32-(k))))
#define xor_rot(a, b, c) do {a = a^b; a = a - rot(b, c);} while(0)

	uint len = 3;
	ssei magic = ssei(0xdeadbeef + (len << 2) + 13);
	ssei a = magic + kx;
	ssei b = magic + ky;
	ssei c = magic + kz;

	xor_rot(c, b, 14);
	xor_rot(a, c, 11);
	xor_rot(b, a, 25);
	xor_rot(c, b, 16);
	xor_rot(a, c, 4);
	xor_rot(b, a, 14);
	xor_rot(c, b, 24);

	return c;
#undef rot
#undef xor_rot
}
#endif

#if 0 // unused
ccl_device int imod(int a, int b)
{
	a %= b;
	return a < 0 ? a + b : a;
}

ccl_device uint phash(int kx, int ky, int kz, int3 p) 
{
	return hash(imod(kx, p.x), imod(ky, p.y), imod(kz, p.z));
}
#endif

#ifndef __KERNEL_SSE2__
ccl_device float floorfrac(float x, int* i)
{
	*i = quick_floor(x);
	return x - *i;
}
#else
ccl_device_inline ssef floorfrac_sse(const ssef& x, ssei *i)
{
	*i = quick_floor_sse(x);
	return x - ssef(*i);
}
#endif

#ifndef __KERNEL_SSE2__
ccl_device float fade(float t)
{
	return t * t * t * (t * (t * 6.0f - 15.0f) + 10.0f);
}
#else
ccl_device_inline ssef fade_sse(const ssef *t)
{
	ssef a = madd(*t, ssef(6.0f), ssef(-15.0f));
	ssef b = madd(*t, a, ssef(10.0f));
	return ((*t) * (*t)) * ((*t) * b);
}
#endif

#ifndef __KERNEL_SSE2__
ccl_device float nerp(float t, float a, float b)
{
	return (1.0f - t) * a + t * b;
}
#else
ccl_device_inline ssef nerp_sse(const ssef& t, const ssef& a, const ssef& b)
{
	ssef x1 = (ssef(1.0f) - t) * a;
	return madd(t, b, x1);
}
#endif

#ifndef __KERNEL_SSE2__
ccl_device float grad(int hash, float x, float y, float z)
{
	// use vectors pointing to the edges of the cube
	int h = hash & 15;
	float u = h<8 ? x : y;
	float vt = ((h == 12) | (h == 14)) ? x : z;
	float v = h < 4 ? y : vt;
	return ((h&1) ? -u : u) + ((h&2) ? -v : v);
}
#else
ccl_device_inline ssef grad_sse(const ssei& hash, const ssef& x, const ssef& y, const ssef& z)
{
	ssei c1 = ssei(1);
	ssei c2 = ssei(2);

	ssei h = hash & ssei(15);                             // h = hash & 15

	sseb case_ux = h < ssei(8);                           // 0xffffffff if h < 8 else 0

	ssef u = select(case_ux, x, y);                       // u = h<8 ? x : y

	sseb case_vy = h < ssei(4);                           // 0xffffffff if h < 4 else 0

	sseb case_h12 = h == ssei(12);                        // 0xffffffff if h == 12 else 0
	sseb case_h14 = h == ssei(14);                        // 0xffffffff if h == 14 else 0

	sseb case_vx = case_h12 | case_h14;                   // 0xffffffff if h == 12 or h == 14 else 0

	ssef v = select(case_vy, y, select(case_vx, x, z));   // v = h<4 ? y : h == 12 || h == 14 ? x : z

	ssei case_uneg = (h & c1) << 31;                      // 1<<31 if h&1 else 0
	ssef case_uneg_mask = cast(case_uneg);                // -0.0 if h&1 else +0.0
	ssef ru = u ^ case_uneg_mask;                         // -u if h&1 else u (copy float sign)

	ssei case_vneg = (h & c2) << 30;                      // 2<<30 if h&2 else 0
	ssef case_vneg_mask = cast(case_vneg);                // -0.0 if h&2 else +0.0
	ssef rv = v ^ case_vneg_mask;                         // -v if h&2 else v (copy float sign)

	ssef r = ru + rv;                                     // ((h&1) ? -u : u) + ((h&2) ? -v : v)
	return r;
}
#endif

#ifndef __KERNEL_SSE2__
ccl_device float scale3(float result)
{
	return 0.9820f * result;
}
#else
ccl_device_inline ssef scale3_sse(const ssef& result)
{
	return ssef(0.9820f) * result;
}
#endif

#ifndef __KERNEL_SSE2__
ccl_device_noinline float perlin(float x, float y, float z)
{
	int X; float fx = floorfrac(x, &X);
	int Y; float fy = floorfrac(y, &Y);
	int Z; float fz = floorfrac(z, &Z);

	float u = fade(fx);
	float v = fade(fy);
	float w = fade(fz);

	float result;

	result = nerp (w, nerp (v, nerp (u, grad (hash (X  , Y  , Z  ), fx	 , fy	 , fz	  ),
										grad (hash (X+1, Y  , Z  ), fx-1.0f, fy	 , fz	  )),
							   nerp (u, grad (hash (X  , Y+1, Z  ), fx	 , fy-1.0f, fz	  ),
										grad (hash (X+1, Y+1, Z  ), fx-1.0f, fy-1.0f, fz	  ))),
					  nerp (v, nerp (u, grad (hash (X  , Y  , Z+1), fx	 , fy	 , fz-1.0f ),
										grad (hash (X+1, Y  , Z+1), fx-1.0f, fy	 , fz-1.0f )),
							   nerp (u, grad (hash (X  , Y+1, Z+1), fx	 , fy-1.0f, fz-1.0f ),
										grad (hash (X+1, Y+1, Z+1), fx-1.0f, fy-1.0f, fz-1.0f ))));
	float r = scale3(result);

	/* can happen for big coordinates, things even out to 0.0 then anyway */
	return (isfinite(r))? r: 0.0f;
}
#else
ccl_device_noinline float perlin(float x, float y, float z)
{
	ssef xyz = ssef(x, y, z, 0.0f);
	ssei XYZ;

	ssef fxyz = floorfrac_sse(xyz, &XYZ);

	ssef uvw = fade_sse(&fxyz);
	ssef u = shuffle<0>(uvw), v = shuffle<1>(uvw), w = shuffle<2>(uvw);

	ssei XYZ_ofc = XYZ + ssei(1);
	ssei vdy = shuffle<1, 1, 1, 1>(XYZ, XYZ_ofc);                      // +0, +0, +1, +1
	ssei vdz = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(XYZ, XYZ_ofc)); // +0, +1, +0, +1

	ssei h1 = hash_sse(shuffle<0>(XYZ),     vdy, vdz);               // hash directions 000, 001, 010, 011
	ssei h2 = hash_sse(shuffle<0>(XYZ_ofc), vdy, vdz);               // hash directions 100, 101, 110, 111

	ssef fxyz_ofc = fxyz - ssef(1.0f);
	ssef vfy = shuffle<1, 1, 1, 1>(fxyz, fxyz_ofc);
	ssef vfz = shuffle<0, 2, 0, 2>(shuffle<2, 2, 2, 2>(fxyz, fxyz_ofc));

	ssef g1 = grad_sse(h1, shuffle<0>(fxyz),     vfy, vfz);
	ssef g2 = grad_sse(h2, shuffle<0>(fxyz_ofc), vfy, vfz);
	ssef n1 = nerp_sse(u, g1, g2);

	ssef n1_half = shuffle<2, 3, 2, 3>(n1);      // extract 2 floats to a separate vector
	ssef n2 = nerp_sse(v, n1, n1_half);          // process nerp([a, b, _, _], [c, d, _, _]) -> [a', b', _, _]

	ssef n2_second = shuffle<1>(n2);           // extract b to a separate vector
	ssef result = nerp_sse(w, n2, n2_second);    // process nerp([a', _, _, _], [b', _, _, _]) -> [a'', _, _, _]

	ssef r = scale3_sse(result);

	ssef infmask = cast(ssei(0x7f800000));
	ssef rinfmask = ((r & infmask) == infmask).m128; // 0xffffffff if r is inf/-inf/nan else 0
	ssef rfinite = andnot(rinfmask, r);              // 0 if r is inf/-inf/nan else r
	return extract<0>(rfinite);
}
#endif

/* perlin noise in range 0..1 */
ccl_device float noise(float3 p)
{
	float r = perlin(p.x, p.y, p.z);
	return 0.5f*r + 0.5f;
}

/* perlin noise in range -1..1 */
ccl_device float snoise(float3 p)
{
	return perlin(p.x, p.y, p.z);
}

/* cell noise */
#ifndef __KERNEL_SSE2__
ccl_device_noinline float cellnoise(float3 p)
{
	uint ix = quick_floor(p.x);
	uint iy = quick_floor(p.y);
	uint iz = quick_floor(p.z);

	return bits_to_01(hash(ix, iy, iz));
}

ccl_device float3 cellnoise_color(float3 p)
{
	float r = cellnoise(p);
	float g = cellnoise(make_float3(p.y, p.x, p.z));
	float b = cellnoise(make_float3(p.y, p.z, p.x));

	return make_float3(r, g, b);
}
#else
ccl_device ssef cellnoise_color(const ssef& p)
{
	ssei ip = quick_floor_sse(p);
	ssei ip_yxz = shuffle<1, 0, 2, 3>(ip);
	ssei ip_xyy = shuffle<0, 1, 1, 3>(ip);
	ssei ip_zzx = shuffle<2, 2, 0, 3>(ip);
	return bits_to_01_sse(hash_sse(ip_xyy, ip_yxz, ip_zzx));
}
#endif

CCL_NAMESPACE_END