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cl.cl
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cl.cl
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#pragma OPENCL EXTENSION cl_khr_fp16 : enable
#include "common.cl"
#define M_PIf ((float)M_PI)
#define E4(n) n.x, n.y, n.z, n.w
#define SWAP(x, y, T) do { T SWAP = x; x = y; y = SWAP; } while (0)
#define DUMP_TETRAD(str, a, b, c, d) printf(str " p1 %f %f %f %f p2 %f %f %f %f p3 %f %f %f %f p4 %f %f %f %f", a.x, a.y, a.z, a.w, b.x, b.y, b.z, b.w, c.x, c.y, c.z, c.w, d.x, d.y, d.z, d.w)
float4 sort_vector_timelike(float4 in, int which)
{
if(which == 0)
return in;
float arr[4] = {in.x, in.y, in.z, in.w};
SWAP(arr[0], arr[which], float);
return (float4)(arr[0], arr[1], arr[2], arr[3]);
}
float4 put_timelike_in_correct_position(float4 txyz, int which)
{
///because this just performs a simple swap, its always valid
return sort_vector_timelike(txyz, which);
}
float get_vector_timelike_component(float4 v, int which)
{
if(which == 0)
return v.x;
if(which == 1)
return v.y;
if(which == 2)
return v.z;
if(which == 3)
return v.w;
}
struct triangle
{
int parent;
float v0x, v0y, v0z;
float v1x, v1y, v1z;
float v2x, v2y, v2z;
};
struct intersection
{
int sx, sy;
int computed_parent;
};
struct object
{
float4 pos;
};
bool approx_equal(float v1, float v2, float tol)
{
return fabs(v1 - v2) <= tol;
}
#define IS_DEGENERATE(x) (isnan(x) || !isfinite(x))
void sort2(float* v0, float* v1)
{
float iv0 = *v0;
float iv1 = *v1;
*v0 = min(iv0, iv1);
*v1 = max(iv0, iv1);
}
bool range_overlaps_general(float s1, float s2, float e1, float e2, float period)
{
sort2(&s1, &s2);
sort2(&e1, &e2);
if(period == 0)
return range_overlaps(s1, s2, e1, e2);
else
return periodic_range_overlaps(s1, s2, e1, e2, period);
}
bool range_overlaps_general4(float4 s1, float4 s2, float4 e1, float4 e2, float4 period)
{
return range_overlaps_general(s1.x, s2.x, e1.x, e2.x, period.x) &&
range_overlaps_general(s1.y, s2.y, e1.y, e2.y, period.y) &&
range_overlaps_general(s1.z, s2.z, e1.z, e2.z, period.z) &&
range_overlaps_general(s1.w, s2.w, e1.w, e2.w, period.w);
}
float smooth_fmod(float a, float b)
{
return fmod(a, b);
}
float3 cartesian_to_polar(float3 in)
{
float r = length(in);
//float theta = atan2(native_sqrt(in.x * in.x + in.y * in.y), in.z);
float theta = acos(in.z / r);
float phi = atan2(in.y, in.x);
return (float3){r, theta, phi};
}
float3 polar_to_cartesian(float3 in)
{
float x = in.x * native_sin(in.y) * native_cos(in.z);
float y = in.x * native_sin(in.y) * native_sin(in.z);
float z = in.x * native_cos(in.y);
return (float3){x, y, z};
}
float3 cartesian_velocity_to_polar_velocity(float3 cartesian_position, float3 cartesian_velocity)
{
float3 p = cartesian_position;
float3 v = cartesian_velocity;
/*float rdot = (p.x * v.x + p.y * v.y + p.z * v.z) / length(p);
float tdot = (v.x * p.y - p.x * v.y) / (p.x * p.x + p.y * p.y);
float pdot = (p.z * (p.x * v.x + p.y * v.y) - (p.x * p.x + p.y * p.y) * v.z) / ((p.x * p.x + p.y * p.y + p.z * p.z) * native_sqrt(p.x * p.x + p.y * p.y));*/
float r = length(p);
float repeated_eq = r * native_sqrt(1 - (p.z*p.z / (r * r)));
float rdot = (p.x * v.x + p.y * v.y + p.z * v.z) / r;
float tdot = ((p.z * rdot) / (r*repeated_eq)) - v.z / repeated_eq;
float pdot = (p.x * v.y - p.y * v.x) / (p.x * p.x + p.y * p.y);
return (float3){rdot, tdot, pdot};
}
float calculate_ds(float4 velocity, float g_metric[])
{
float v[4] = {velocity.x, velocity.y, velocity.z, velocity.w};
float ds = 0;
ds += g_metric[0] * v[0] * v[0];
ds += g_metric[1] * v[1] * v[1];
ds += g_metric[2] * v[2] * v[2];
ds += g_metric[3] * v[3] * v[3];
return ds;
}
//#define IS_CONSTANT_THETA
#define GENERIC_METRIC
#if (defined(GENERIC_METRIC) && defined(GENERIC_CONSTANT_THETA)) || !defined(GENERIC_METRIC)
#define IS_CONSTANT_THETA
#endif
__kernel
void clear(__write_only image2d_t out)
{
int x = get_global_id(0);
int y = get_global_id(1);
if(x >= get_image_width(out) || y >= get_image_height(out))
return;
write_imagef(out, (int2){x, y}, (float4){0,0,0,1});
}
float3 rot_quat(const float3 point, float4 quat)
{
quat = fast_normalize(quat);
float3 t = 2.f * cross(quat.xyz, point);
return point + quat.w * t + cross(quat.xyz, t);
}
float3 rot_quat_norm(const float3 point, float4 norm_quat)
{
float3 t = 2.f * cross(norm_quat.xyz, point);
return point + norm_quat.w * t + cross(norm_quat.xyz, t);
}
float3 spherical_velocity_to_cartesian_velocity(float3 p, float3 dp)
{
float r = p.x;
float dr = dp.x;
float x = p.y;
float dx = dp.y;
float y = p.z;
float dy = dp.z;
float v1 = - r * sin(x) * sin(y) * dy + r * cos(x) * cos(y) * dx + sin(x) * cos(y) * dr;
float v2 = sin(x) * sin(y) * dr + r * sin(x) * cos(y) * dy + r * cos(x) * sin(y) * dx;
float v3 = cos(x) * dr - r * sin(x) * dx;
return (float3){v1, v2, v3};
}
///https://www.ccs.neu.edu/home/fell/CS4300/Lectures/Ray-TracingFormulas.pdf
float3 fix_ray_position_cart(float3 cartesian_pos, float3 cartesian_velocity, float sphere_radius)
{
cartesian_velocity = fast_normalize(cartesian_velocity);
float3 C = (float3){0,0,0};
float a = 1;
float b = 2 * dot(cartesian_velocity, (cartesian_pos - C));
float c = dot(C, C) + dot(cartesian_pos, cartesian_pos) - 2 * (dot(cartesian_pos, C)) - sphere_radius * sphere_radius;
float discrim = b*b - 4 * a * c;
if(discrim < 0)
return cartesian_pos;
float t0 = (-b - native_sqrt(discrim)) / (2 * a);
float t1 = (-b + native_sqrt(discrim)) / (2 * a);
float my_t = 0;
if(fabs(t0) < fabs(t1))
my_t = t0;
else
my_t = t1;
return cartesian_pos + my_t * cartesian_velocity;
}
float3 fix_ray_position(float3 polar_pos, float3 polar_velocity, float sphere_radius, bool outwards_facing)
{
float position_sign = sign(polar_pos.x);
float3 cpolar_pos = polar_pos;
cpolar_pos.x = fabs(cpolar_pos.x);
polar_velocity.x *= position_sign;
float3 cartesian_velocity = spherical_velocity_to_cartesian_velocity(cpolar_pos, polar_velocity);
float3 cartesian_pos = polar_to_cartesian(cpolar_pos);
float3 new_cart = fix_ray_position_cart(cartesian_pos, cartesian_velocity, sphere_radius);
float3 new_polar = cartesian_to_polar(new_cart);
#ifdef IS_CONSTANT_THETA
new_polar.y = M_PIf/2;
#endif // IS_CONSTANT_THETA
new_polar.x *= position_sign;
return new_polar;
}
float3 rotate_vector(float3 bx, float3 by, float3 bz, float3 v)
{
/*
[nxx, nyx, nzx, [vx]
nxy, nyy, nzy, [vy]
nxz, nyz, nzz] [vz] =
nxx * vx + nxy * vy + nzx * vz
nxy * vx + nyy * vy + nzy * vz
nxz * vx + nzy * vy + nzz * vz*/
return (float3){
bx.x * v.x + by.x * v.y + bz.x * v.z,
bx.y * v.x + by.y * v.y + bz.y * v.z,
bx.z * v.x + by.z * v.y + bz.z * v.z
};
}
float4 rotate_vector4(float4 bx, float4 by, float4 bz, float4 bw, float4 v)
{
return (float4)
{
bx.x * v.x + by.x * v.y + bz.x * v.z + bw.x * v.w,
bx.y * v.x + by.y * v.y + bz.y * v.z + bw.y * v.w,
bx.z * v.x + by.z * v.y + bz.z * v.z + bw.z * v.w,
bx.w * v.x + by.w * v.y + bz.w * v.z + bw.w * v.w,
};
}
float3 unrotate_vector(float3 bx, float3 by, float3 bz, float3 v)
{
/*
nxx, nxy, nxz, vx,
nyx, nyy, nyz, vy,
nzx, nzy, nzz vz*/
return rotate_vector((float3){bx.x, by.x, bz.x}, (float3){bx.y, by.y, bz.y}, (float3){bx.z, by.z, bz.z}, v);
}
float3 rejection(float3 my_vector, float3 basis)
{
return normalize(my_vector - dot(my_vector, basis) * basis);
}
/*float3 srgb_to_lin(float3 C_srgb)
{
return 0.012522878f * C_srgb +
0.682171111f * C_srgb * C_srgb +
0.305306011f * C_srgb * C_srgb * C_srgb;
}
float3 lin_to_srgb(float3 val)
{
float3 S1 = native_sqrt(val);
float3 S2 = native_sqrt(S1);
float3 S3 = native_sqrt(S2);
float3 sRGB = 0.585122381f * S1 + 0.783140355f * S2 - 0.368262736f * S3;
return sRGB;
}*/
float lin_to_srgb_single(float in)
{
if(in <= 0.0031308f)
return in * 12.92f;
else
return 1.055f * pow(in, 1.0f / 2.4f) - 0.055f;
}
float3 lin_to_srgb(float3 in)
{
return (float3)(lin_to_srgb_single(in.x), lin_to_srgb_single(in.y), lin_to_srgb_single(in.z));
}
float srgb_to_lin_single(float in)
{
if(in < 0.04045f)
return in / 12.92f;
else
return pow((in + 0.055f) / 1.055f, 2.4f);
}
float3 srgb_to_lin(float3 in)
{
return (float3)(srgb_to_lin_single(in.x), srgb_to_lin_single(in.y), srgb_to_lin_single(in.z));
}
float lambert_w0_newton(float x)
{
if(x < -(1 / M_E))
x = -(1 / M_E);
float current = 0;
for(int i=0; i < 5; i++)
{
float next = current - ((current * exp(current) - x) / (exp(current) + current * exp(current)));
current = next;
}
return current;
}
float lambert_w0_halley(float x)
{
if(x < -(1 / M_E))
x = -(1 / M_E);
float current = 0;
for(int i=0; i < 2; i++)
{
float cexp = exp(current);
float denom = cexp * (current + 1) - ((current + 2) * (current * cexp - x) / (2 * current + 2));
float next = current - ((current * cexp - x) / denom);
current = next;
}
return current;
}
float lambert_w0_highprecision(float x)
{
if(x < -(1 / M_E))
x = -(1 / M_E);
float current = 0;
for(int i=0; i < 20; i++)
{
float cexp = exp(current);
float denom = cexp * (current + 1) - ((current + 2) * (current * cexp - x) / (2 * current + 2));
float next = current - ((current * cexp - x) / denom);
current = next;
}
return current;
}
float lambert_w0(float x)
{
return lambert_w0_halley(x);
}
float4 evaluate_partial_metric(float4 vel, float g_metric[])
{
return (float4){g_metric[0] * vel.x * vel.x,
g_metric[1] * vel.y * vel.y,
g_metric[2] * vel.z * vel.z,
g_metric[3] * vel.w * vel.w};
}
float4 lower_index(float4 raised, float g_metric[])
{
float4 ret;
/*
for(int i=0; i < 4; i++)
{
float sum = 0;
for(int j=0; j < 4; j++)
{
sum += g_metric_cov[i * 4 + j] * vector[j];
}
ret.v[i] = sum;
}
*/
ret.x = g_metric[0] * raised.x;
ret.y = g_metric[1] * raised.y;
ret.z = g_metric[2] * raised.z;
ret.w = g_metric[3] * raised.w;
return ret;
}
#define ARRAY4(v) {v.x, v.y, v.z, v.w}
float4 tensor_contract(float t16[16], float4 vec)
{
float4 res;
res.x = t16[0 * 4 + 0] * vec.x + t16[0 * 4 + 1] * vec.y + t16[0 * 4 + 2] * vec.z + t16[0 * 4 + 3] * vec.w;
res.y = t16[1 * 4 + 0] * vec.x + t16[1 * 4 + 1] * vec.y + t16[1 * 4 + 2] * vec.z + t16[1 * 4 + 3] * vec.w;
res.z = t16[2 * 4 + 0] * vec.x + t16[2 * 4 + 1] * vec.y + t16[2 * 4 + 2] * vec.z + t16[2 * 4 + 3] * vec.w;
res.w = t16[3 * 4 + 0] * vec.x + t16[3 * 4 + 1] * vec.y + t16[3 * 4 + 2] * vec.z + t16[3 * 4 + 3] * vec.w;
return res;
}
///[0, 1, 2, 3]
///[4, 5, 6, 7]
///[8, 9, 10,11]
///[12,13,14,15]
void metric_inverse(const float m[16], float invOut[16])
{
float inv[16], det;
int i;
inv[0] = m[5] * m[10] * m[15] -
m[5] * m[11] * m[11] -
m[6] * m[6] * m[15] +
m[6] * m[7] * m[11] +
m[7] * m[6] * m[11] -
m[7] * m[7] * m[10];
inv[1] = -m[1] * m[10] * m[15] +
m[1] * m[11] * m[11] +
m[6] * m[2] * m[15] -
m[6] * m[3] * m[11] -
m[7] * m[2] * m[11] +
m[7] * m[3] * m[10];
inv[5] = m[0] * m[10] * m[15] -
m[0] * m[11] * m[11] -
m[2] * m[2] * m[15] +
m[2] * m[3] * m[11] +
m[3] * m[2] * m[11] -
m[3] * m[3] * m[10];
inv[2] = m[1] * m[6] * m[15] -
m[1] * m[7] * m[11] -
m[5] * m[2] * m[15] +
m[5] * m[3] * m[11] +
m[7] * m[2] * m[7] -
m[7] * m[3] * m[6];
inv[6] = -m[0] * m[6] * m[15] +
m[0] * m[7] * m[11] +
m[1] * m[2] * m[15] -
m[1] * m[3] * m[11] -
m[3] * m[2] * m[7] +
m[3] * m[3] * m[6];
inv[10] = m[0] * m[5] * m[15] -
m[0] * m[7] * m[7] -
m[1] * m[1] * m[15] +
m[1] * m[3] * m[7] +
m[3] * m[1] * m[7] -
m[3] * m[3] * m[5];
inv[3] = -m[1] * m[6] * m[11] +
m[1] * m[7] * m[10] +
m[5] * m[2] * m[11] -
m[5] * m[3] * m[10] -
m[6] * m[2] * m[7] +
m[6] * m[3] * m[6];
inv[7] = m[0] * m[6] * m[11] -
m[0] * m[7] * m[10] -
m[1] * m[2] * m[11] +
m[1] * m[3] * m[10] +
m[2] * m[2] * m[7] -
m[2] * m[3] * m[6];
inv[11] = -m[0] * m[5] * m[11] +
m[0] * m[7] * m[6] +
m[1] * m[1] * m[11] -
m[1] * m[3] * m[6] -
m[2] * m[1] * m[7] +
m[2] * m[3] * m[5];
inv[15] = m[0] * m[5] * m[10] -
m[0] * m[6] * m[6] -
m[1] * m[1] * m[10] +
m[1] * m[2] * m[6] +
m[2] * m[1] * m[6] -
m[2] * m[2] * m[5];
inv[4] = inv[1];
inv[8] = inv[2];
inv[12] = inv[3];
inv[9] = inv[6];
inv[13] = inv[7];
inv[14] = inv[11];
det = m[0] * inv[0] + m[1] * inv[4] + m[2] * inv[8] + m[3] * inv[12];
det = 1.0 / det;
for (i = 0; i < 16; i++)
invOut[i] = inv[i] * det;
}
void matrix_inverse(const float m[16], float invOut[16])
{
float inv[16], det;
int i;
inv[0] = m[5] * m[10] * m[15] -
m[5] * m[11] * m[14] -
m[9] * m[6] * m[15] +
m[9] * m[7] * m[14] +
m[13] * m[6] * m[11] -
m[13] * m[7] * m[10];
inv[4] = -m[4] * m[10] * m[15] +
m[4] * m[11] * m[14] +
m[8] * m[6] * m[15] -
m[8] * m[7] * m[14] -
m[12] * m[6] * m[11] +
m[12] * m[7] * m[10];
inv[8] = m[4] * m[9] * m[15] -
m[4] * m[11] * m[13] -
m[8] * m[5] * m[15] +
m[8] * m[7] * m[13] +
m[12] * m[5] * m[11] -
m[12] * m[7] * m[9];
inv[12] = -m[4] * m[9] * m[14] +
m[4] * m[10] * m[13] +
m[8] * m[5] * m[14] -
m[8] * m[6] * m[13] -
m[12] * m[5] * m[10] +
m[12] * m[6] * m[9];
inv[1] = -m[1] * m[10] * m[15] +
m[1] * m[11] * m[14] +
m[9] * m[2] * m[15] -
m[9] * m[3] * m[14] -
m[13] * m[2] * m[11] +
m[13] * m[3] * m[10];
inv[5] = m[0] * m[10] * m[15] -
m[0] * m[11] * m[14] -
m[8] * m[2] * m[15] +
m[8] * m[3] * m[14] +
m[12] * m[2] * m[11] -
m[12] * m[3] * m[10];
inv[9] = -m[0] * m[9] * m[15] +
m[0] * m[11] * m[13] +
m[8] * m[1] * m[15] -
m[8] * m[3] * m[13] -
m[12] * m[1] * m[11] +
m[12] * m[3] * m[9];
inv[13] = m[0] * m[9] * m[14] -
m[0] * m[10] * m[13] -
m[8] * m[1] * m[14] +
m[8] * m[2] * m[13] +
m[12] * m[1] * m[10] -
m[12] * m[2] * m[9];
inv[2] = m[1] * m[6] * m[15] -
m[1] * m[7] * m[14] -
m[5] * m[2] * m[15] +
m[5] * m[3] * m[14] +
m[13] * m[2] * m[7] -
m[13] * m[3] * m[6];
inv[6] = -m[0] * m[6] * m[15] +
m[0] * m[7] * m[14] +
m[4] * m[2] * m[15] -
m[4] * m[3] * m[14] -
m[12] * m[2] * m[7] +
m[12] * m[3] * m[6];
inv[10] = m[0] * m[5] * m[15] -
m[0] * m[7] * m[13] -
m[4] * m[1] * m[15] +
m[4] * m[3] * m[13] +
m[12] * m[1] * m[7] -
m[12] * m[3] * m[5];
inv[14] = -m[0] * m[5] * m[14] +
m[0] * m[6] * m[13] +
m[4] * m[1] * m[14] -
m[4] * m[2] * m[13] -
m[12] * m[1] * m[6] +
m[12] * m[2] * m[5];
inv[3] = -m[1] * m[6] * m[11] +
m[1] * m[7] * m[10] +
m[5] * m[2] * m[11] -
m[5] * m[3] * m[10] -
m[9] * m[2] * m[7] +
m[9] * m[3] * m[6];
inv[7] = m[0] * m[6] * m[11] -
m[0] * m[7] * m[10] -
m[4] * m[2] * m[11] +
m[4] * m[3] * m[10] +
m[8] * m[2] * m[7] -
m[8] * m[3] * m[6];
inv[11] = -m[0] * m[5] * m[11] +
m[0] * m[7] * m[9] +
m[4] * m[1] * m[11] -
m[4] * m[3] * m[9] -
m[8] * m[1] * m[7] +
m[8] * m[3] * m[5];
inv[15] = m[0] * m[5] * m[10] -
m[0] * m[6] * m[9] -
m[4] * m[1] * m[10] +
m[4] * m[2] * m[9] +
m[8] * m[1] * m[6] -
m[8] * m[2] * m[5];
det = m[0] * inv[0] + m[1] * inv[4] + m[2] * inv[8] + m[3] * inv[12];
det = 1.0 / det;
for(i = 0; i < 16; i++)
invOut[i] = inv[i] * det;
}
void get_christoffel_generic(float g_metric_generic[], float g_partials_generic[], float christoff[64])
{
#ifndef GENERIC_BIG_METRIC
///diagonal of the metric, because it only has diagonals
float g_inv[4] = {1/g_metric_generic[0], 1/g_metric_generic[1], 1/g_metric_generic[2], 1/g_metric_generic[3]};
{
#pragma unroll
for(int i=0; i < 4; i++)
{
float ginvii = 0.5 * g_inv[i];
#pragma unroll
for(int m=0; m < 4; m++)
{
float adding = ginvii * g_partials_generic[i * 4 + m];
christoff[i * 16 + i * 4 + m] += adding;
christoff[i * 16 + m * 4 + i] += adding;
christoff[i * 16 + m * 4 + m] -= ginvii * g_partials_generic[m * 4 + i];
}
}
}
#else
float g_inv_big[16] = {0};
metric_inverse(g_metric_generic, g_inv_big);
#pragma unroll
for(int i = 0; i < 4; i++)
{
#pragma unroll
for(int k = 0; k < 4; k++)
{
#pragma unroll
for(int l = 0; l < 4; l++)
{
float sum = 0;
#pragma unroll
for (int m = 0; m < 4; m++)
{
sum += g_inv_big[i * 4 + m] * g_partials_generic[l * 16 + m * 4 + k];
sum += g_inv_big[i * 4 + m] * g_partials_generic[k * 16 + m * 4 + l];
sum -= g_inv_big[i * 4 + m] * g_partials_generic[m * 16 + k * 4 + l];
}
christoff[i * 16 + k * 4 + l] = 0.5f * sum;
}
}
}
#endif
}
float4 calculate_acceleration(float4 lightray_velocity, float g_metric[4], float g_partials[16])
{
#ifdef IS_CONSTANT_THETA
lightray_velocity.z = 0;
#endif // IS_CONSTANT_THETA
float christoff[64] = {0};
///diagonal of the metric, because it only has diagonals
float g_inv[4] = {1/g_metric[0], 1/g_metric[1], 1/g_metric[2], 1/g_metric[3]};
{
#pragma unroll
for(int i=0; i < 4; i++)
{
float ginvii = 0.5 * g_inv[i];
#pragma unroll
for(int m=0; m < 4; m++)
{
float adding = ginvii * g_partials[i * 4 + m];
christoff[i * 16 + i * 4 + m] += adding;
christoff[i * 16 + m * 4 + i] += adding;
christoff[i * 16 + m * 4 + m] -= ginvii * g_partials[m * 4 + i];
}
}
}
float velocity_arr[4] = {lightray_velocity.x, lightray_velocity.y, lightray_velocity.z, lightray_velocity.w};
///no performance benefit by unrolling u into a float4
float christ_result[4] = {0,0,0,0};
#pragma unroll
for(int uu=0; uu < 4; uu++)
{
float sum = 0;
#pragma unroll
for(int aa = 0; aa < 4; aa++)
{
#pragma unroll
for(int bb = 0; bb < 4; bb++)
{
sum += (velocity_arr[aa]) * (velocity_arr[bb]) * christoff[uu * 16 + aa*4 + bb*1];
}
}
christ_result[uu] = sum;
}
float4 acceleration = {-christ_result[0], -christ_result[1], -christ_result[2], -christ_result[3]};
#ifdef IS_CONSTANT_THETA
acceleration.z = 0;
#endif // IS_CONSTANT_THETA
return acceleration;
}
float linear_mix(float value, float min_val, float max_val)
{
value = clamp(value, min_val, max_val);
return (value - min_val) / (max_val - min_val);
}
float linear_val(float value, float min_val, float max_val, float val_at_min, float val_at_max)
{
float mixd = linear_mix(value, min_val, max_val);
return mix(val_at_min, val_at_max, mixd);
}
struct lightray
{
float4 position;
float4 velocity;
float4 initial_quat;
float4 acceleration;
float ku_uobsu;
float running_dlambda_dnew;
int terminated;
int sx;
int sy;
};
#ifdef GENERIC_METRIC
float4 lower_index_big(float4 vec, float g_metric_big[])
{
float vecarray[4] = {vec.x, vec.y, vec.z, vec.w};
float ret[4] = {0,0,0,0};
#pragma unroll
for(int i=0; i < 4; i++)
{
float sum = 0;
#pragma unroll
for(int j=0; j < 4; j++)
{
sum += g_metric_big[i * 4 + j] * vecarray[j];
}
ret[i] = sum;
}
return (float4)(ret[0], ret[1], ret[2], ret[3]);
}
float4 raise_index_big(float4 vec, float g_metric_big_inv[])
{
float vecarray[4] = {vec.x, vec.y, vec.z, vec.w};
float ret[4] = {0,0,0,0};
#pragma unroll
for(int i=0; i < 4; i++)
{
float sum = 0;
#pragma unroll
for(int j=0; j < 4; j++)
{
sum += g_metric_big_inv[i * 4 + j] * vecarray[j];
}
ret[i] = sum;
}
return (float4)(ret[0], ret[1], ret[2], ret[3]);
}
float4 raise_index(float4 vec, float g_metric_inv[])
{
float4 ret;
ret.x = vec.x * g_metric_inv[0];
ret.y = vec.y * g_metric_inv[1];
ret.z = vec.z * g_metric_inv[2];
ret.w = vec.w * g_metric_inv[3];
return ret;
}
float4 raise_index_generic(float4 vec, float g_metric_inv[])
{
#ifdef GENERIC_BIG_METRIC
return raise_index_big(vec, g_metric_inv);
#else
return raise_index(vec, g_metric_inv);
#endif // GENERIC_BIG_METRIC
}
float4 lower_index_generic(float4 vec, float g_metric[])
{
#ifdef GENERIC_BIG_METRIC
return lower_index_big(vec, g_metric);
#else
return lower_index(vec, g_metric);
#endif // GENERIC_BIG_METRIC
}
float dot_product_big(float4 u, float4 v, float g_metric_big[])
{
float4 lowered = lower_index_big(u, g_metric_big);
return dot(lowered, v);
}
float dot_product_generic(float4 u, float4 v, float g_metric[])
{
#ifdef GENERIC_BIG_METRIC
return dot_product_big(u, v, g_metric);
#else
float4 lowered = lower_index(u, g_metric);
return dot(lowered, v);
#endif // GENERIC_BIG_METRIC
}
void small_to_big_metric(float g_metric[], float g_metric_big[])
{
g_metric_big[0] = g_metric[0];
g_metric_big[1 * 4 + 1] = g_metric[1];
g_metric_big[2 * 4 + 2] = g_metric[2];
g_metric_big[3 * 4 + 3] = g_metric[3];
}
void small_to_big_partials(float g_metric_partials[], float g_metric_partials_big[])
{
///with respect to, ie the differentiating variable
for(int wrt = 0; wrt < 4; wrt++)
{
for(int variable = 0; variable < 4; variable++)
{
g_metric_partials_big[wrt * 16 + variable * 4 + variable] = g_metric_partials[variable * 4 + wrt];
}
}
}
struct dynamic_config
{
#ifdef DYNVARS
float DYNVARS;
#endif // DYNVARS
};
struct dynamic_feature_config
{
#ifdef DYNAMIC_FLOAT_FEATURES
float DYNAMIC_FLOAT_FEATURES;
#endif // DYNAMIC_FLOAT_FEATURES
#ifdef DYNAMIC_BOOL_FEATURES
int DYNAMIC_BOOL_FEATURES;
#endif // DYNAMIC_BOOL_FEATURES
};
#ifdef KERNEL_IS_STATIC
#define GET_FEATURE(name, dfg) FEATURE_##name
#endif // KERNEL_IS_STATIC
#ifdef KERNEL_IS_DYNAMIC
#define GET_FEATURE(name, dfg) dfg->name
#endif // KERNEL_IS_DYNAMIC
#define dynamic_config_space __constant
#ifndef GENERIC_BIG_METRIC
void calculate_metric_generic(float4 spacetime_position, float g_metric_out[], dynamic_config_space const struct dynamic_config* cfg)
{
float v1 = spacetime_position.x;
float v2 = spacetime_position.y;
float v3 = spacetime_position.z;
float v4 = spacetime_position.w;
float rs = RS_IMPL;
float c = C_IMPL;
float TEMPORARIES0;
g_metric_out[0] = F1_I;
g_metric_out[1] = F2_I;
g_metric_out[2] = F3_I;
g_metric_out[3] = F4_I;
}
void calculate_partial_derivatives_generic(float4 spacetime_position, float g_metric_partials[], dynamic_config_space const struct dynamic_config* cfg)
{
float v1 = spacetime_position.x;
float v2 = spacetime_position.y;
float v3 = spacetime_position.z;
float v4 = spacetime_position.w;
float rs = RS_IMPL;
float c = C_IMPL;
float TEMPORARIES0;
g_metric_partials[0] = F1_P;
g_metric_partials[1] = F2_P;