blender/intern/cycles/util/util_math_intersect.h

/*
 * Copyright 2011-2017 Blender Foundation
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

#ifndef __UTIL_MATH_INTERSECT_H__
#define __UTIL_MATH_INTERSECT_H__

CCL_NAMESPACE_BEGIN

/* Ray Intersection */

ccl_device bool ray_sphere_intersect(
        float3 ray_P, float3 ray_D, float ray_t,
        float3 sphere_P, float sphere_radius,
        float3 *isect_P, float *isect_t)
{
	const float3 d = sphere_P - ray_P;
	const float radiussq = sphere_radius*sphere_radius;
	const float tsq = dot(d, d);

	if(tsq > radiussq) {
		/* Ray origin outside sphere. */
		const float tp = dot(d, ray_D);
		if(tp < 0.0f) {
			/* Ray  points away from sphere. */
			return false;
		}
		const float dsq = tsq - tp*tp;  /* pythagoras */
		if(dsq > radiussq)  {
			/* Closest point on ray outside sphere. */
			return false;
		}
		const float t = tp - sqrtf(radiussq - dsq);  /* pythagoras */
		if(t < ray_t) {
			*isect_t = t;
			*isect_P = ray_P + ray_D*t;
			return true;
		}
	}
	return false;
}

ccl_device bool ray_aligned_disk_intersect(
        float3 ray_P, float3 ray_D, float ray_t,
        float3 disk_P, float disk_radius,
        float3 *isect_P, float *isect_t)
{
	/* Aligned disk normal. */
	float disk_t;
	const float3 disk_N = normalize_len(ray_P - disk_P, &disk_t);
	const float div = dot(ray_D, disk_N);
	if(UNLIKELY(div == 0.0f)) {
		return false;
	}
	/* Compute t to intersection point. */
	const float t = -disk_t/div;
	if(t < 0.0f || t > ray_t) {
		return false;
	}
	/* Test if within radius. */
	float3 P = ray_P + ray_D*t;
	if(len_squared(P - disk_P) > disk_radius*disk_radius) {
		return false;
	}
	*isect_P = P;
	*isect_t = t;
	return true;
}

#if defined(__KERNEL_CUDA__) && __CUDA_ARCH__ < 300
ccl_device_inline
#else
ccl_device_forceinline
#endif
bool ray_triangle_intersect(
        float3 ray_P, float3 ray_dir, float ray_t,
#if defined(__KERNEL_SSE2__) && defined(__KERNEL_SSE__)
        const ssef *ssef_verts,
#else
        const float3 tri_a, const float3 tri_b, const float3 tri_c,
#endif
        float *isect_u, float *isect_v, float *isect_t)
{
#if defined(__KERNEL_SSE2__) && defined(__KERNEL_SSE__)
	typedef ssef float3;
	const float3 tri_a(ssef_verts[0]);
	const float3 tri_b(ssef_verts[1]);
	const float3 tri_c(ssef_verts[2]);
	const float3 P(ray_P);
	const float3 dir(ray_dir);
#else
#  define dot3(a, b) dot(a, b)
	const float3 P = ray_P;
	const float3 dir = ray_dir;
#endif

	/* Calculate vertices relative to ray origin. */
	const float3 v0 = tri_c - P;
	const float3 v1 = tri_a - P;
	const float3 v2 = tri_b - P;

	/* Calculate triangle edges. */
	const float3 e0 = v2 - v0;
	const float3 e1 = v0 - v1;
	const float3 e2 = v1 - v2;

	/* Perform edge tests. */
#ifdef __KERNEL_SSE2__
	const float3 crossU = cross(v2 + v0, e0);
	const float3 crossV = cross(v0 + v1, e1);
	const float3 crossW = cross(v1 + v2, e2);
#  ifndef __KERNEL_SSE__
	const ssef crossX(crossU.x, crossV.x, crossW.x, crossW.x);
	const ssef crossY(crossU.y, crossV.y, crossW.y, crossW.y);
	const ssef crossZ(crossU.z, crossV.z, crossW.z, crossW.z);
#  else
	ssef crossX(crossU);
	ssef crossY(crossV);
	ssef crossZ(crossW);
	ssef zero = _mm_setzero_ps();
	_MM_TRANSPOSE4_PS(crossX, crossY, crossZ, zero);
#  endif
	const ssef dirX(ray_dir.x);
	const ssef dirY(ray_dir.y);
	const ssef dirZ(ray_dir.z);
	/*const*/ ssef UVWW = crossX*dirX + crossY*dirY + crossZ*dirZ;
	const float minUVW = reduce_min(UVWW);
	const float maxUVW = reduce_max(UVWW);
#else  /* __KERNEL_SSE2__ */
	const float U = dot(cross(v2 + v0, e0), ray_dir);
	const float V = dot(cross(v0 + v1, e1), ray_dir);
	const float W = dot(cross(v1 + v2, e2), ray_dir);
	const float minUVW = min(U, min(V, W));
	const float maxUVW = max(U, max(V, W));
#endif  /* __KERNEL_SSE2__ */

	if(minUVW < 0.0f && maxUVW > 0.0f) {
		return false;
	}

	/* Calculate geometry normal and denominator. */
	const float3 Ng1 = cross(e1, e0);
	//const Vec3vfM Ng1 = stable_triangle_normal(e2,e1,e0);
	const float3 Ng = Ng1 + Ng1;
	const float den = dot3(Ng, dir);
	/* Avoid division by 0. */
	if(UNLIKELY(den == 0.0f)) {
		return false;
	}

	/* Perform depth test. */
	const float T = dot3(v0, Ng);
	const int sign_den = (__float_as_int(den) & 0x80000000);
	const float sign_T = xor_signmask(T, sign_den);
	if((sign_T < 0.0f) ||
	   (sign_T > ray_t * xor_signmask(den, sign_den)))
	{
		return false;
	}

	const float inv_den = 1.0f / den;
#ifdef __KERNEL_SSE2__
	UVWW *= inv_den;
	_mm_store_ss(isect_u, UVWW);
	_mm_store_ss(isect_v, shuffle<1,1,3,3>(UVWW));
#else
	*isect_u = U * inv_den;
	*isect_v = V * inv_den;
#endif
	*isect_t = T * inv_den;
	return true;

#undef dot3
}

ccl_device bool ray_quad_intersect(float3 ray_P, float3 ray_D,
                                   float ray_mint, float ray_maxt,
                                   float3 quad_P,
                                   float3 quad_u, float3 quad_v, float3 quad_n,
                                   float3 *isect_P, float *isect_t,
                                   float *isect_u, float *isect_v)
{
	/* Perform intersection test. */
	float t = -(dot(ray_P, quad_n) - dot(quad_P, quad_n)) / dot(ray_D, quad_n);
	if(t < ray_mint || t > ray_maxt) {
		return false;
	}
	const float3 hit = ray_P + t*ray_D;
	const float3 inplane = hit - quad_P;
	const float u = dot(inplane, quad_u) / dot(quad_u, quad_u) + 0.5f;
	if(u < 0.0f || u > 1.0f) {
		return false;
	}
	const float v = dot(inplane, quad_v) / dot(quad_v, quad_v) + 0.5f;
	if(v < 0.0f || v > 1.0f) {
		return false;
	}
	/* Store the result. */
	/* TODO(sergey): Check whether we can avoid some checks here. */
	if(isect_P != NULL) *isect_P = hit;
	if(isect_t != NULL) *isect_t = t;
	if(isect_u != NULL) *isect_u = u;
	if(isect_v != NULL) *isect_v = v;
	return true;
}

CCL_NAMESPACE_END

#endif /* __UTIL_MATH_INTERSECT_H__ */