lighting: specular

This commit is contained in:
Zack Buhman 2025-05-09 20:16:06 -05:00
parent f2e4618431
commit 2aa0cd64d7
9 changed files with 144 additions and 169 deletions

View File

@ -66,7 +66,7 @@ def render_mesh(f, name, mesh):
f.write(f"const mesh {name} = {{\n") f.write(f"const mesh {name} = {{\n")
f.write(f" .position = {name}_position,\n") f.write(f" .position = {name}_position,\n")
f.write(f" .position_length = (sizeof ({name}_position)) / (sizeof ({name}_position[0])),\n") f.write(f" .position_length = (sizeof ({name}_position)) / (sizeof ({name}_position[0])),\n")
f.write(f" .polygon_normal = {name}_polyon_normal,\n") f.write(f" .polygon_normal = {name}_polygon_normal,\n")
f.write(f" .polygon_normal_length = (sizeof ({name}_polygon_normal)) / (sizeof ({name}_polygon_normal[0])),\n") f.write(f" .polygon_normal_length = (sizeof ({name}_polygon_normal)) / (sizeof ({name}_polygon_normal[0])),\n")
f.write(f" .polygons = {name}_polygons,\n") f.write(f" .polygons = {name}_polygons,\n")
f.write(f" .polygons_length = (sizeof ({name}_polygons)) / (sizeof ({name}_polygons[0])),\n") f.write(f" .polygons_length = (sizeof ({name}_polygons)) / (sizeof ({name}_polygons[0])),\n")

View File

@ -120,9 +120,9 @@ const int tile_width = framebuffer_width / 32;
const int tile_height = framebuffer_height / 32; const int tile_height = framebuffer_height / 32;
constexpr uint32_t ta_alloc = 0 constexpr uint32_t ta_alloc = 0
| ta_alloc_ctrl::pt_opb::no_list | ta_alloc_ctrl::pt_opb::_32x4byte
| ta_alloc_ctrl::tm_opb::no_list | ta_alloc_ctrl::tm_opb::no_list
| ta_alloc_ctrl::t_opb::_32x4byte | ta_alloc_ctrl::t_opb::no_list
| ta_alloc_ctrl::om_opb::no_list | ta_alloc_ctrl::om_opb::no_list
| ta_alloc_ctrl::o_opb::_32x4byte | ta_alloc_ctrl::o_opb::_32x4byte
; ;
@ -132,9 +132,9 @@ constexpr struct opb_size opb_size[ta_cont_count] = {
{ {
.opaque = 32 * 4, .opaque = 32 * 4,
.opaque_modifier = 0, .opaque_modifier = 0,
.translucent = 32 * 4, .translucent = 0,
.translucent_modifier = 0, .translucent_modifier = 0,
.punch_through = 0 .punch_through = 32 * 4
} }
}; };
@ -165,8 +165,8 @@ static inline void pump_events(uint32_t istnrm)
core_in_use = 0; core_in_use = 0;
} }
if (istnrm & istnrm::end_of_transferring_translucent_list) { if (istnrm & istnrm::end_of_transferring_punch_through_list) {
system.ISTNRM = istnrm::end_of_transferring_translucent_list; system.ISTNRM = istnrm::end_of_transferring_punch_through_list;
core_in_use = 1; core_in_use = 1;
core_start_render2(texture_memory_alloc.region_array.start, core_start_render2(texture_memory_alloc.region_array.start,
@ -313,7 +313,7 @@ vec3 transform(vec3 v)
void transfer_mesh(ta_parameter_writer& writer) void transfer_mesh(ta_parameter_writer& writer)
{ {
uint32_t control = para_control::list_type::translucent uint32_t control = para_control::list_type::punch_through
| obj_control::texture | obj_control::texture
| (pcw_offset ? obj_control::offset : 0) | (pcw_offset ? obj_control::offset : 0)
; ;
@ -406,6 +406,13 @@ void render_k1k2k3q(ta_parameter_writer& writer)
s[2] = 'f'; s[2] = 'f';
s[3] = ':'; s[3] = ':';
opaque_string(writer, 0, 5, s, offset + 1); opaque_string(writer, 0, 5, s, offset + 1);
offset = unparse_base10(&s[1], holly.PT_ALPHA_REF, 7, ' ');
s[0] = 'p';
s[1] = 't';
s[2] = 'a';
s[3] = ':';
opaque_string(writer, 0, 6, s, offset + 1);
} }
void transfer_scene(ta_parameter_writer& writer, const mat4x4& trans, int animation_tick) void transfer_scene(ta_parameter_writer& writer, const mat4x4& trans, int animation_tick)
@ -417,7 +424,7 @@ void transfer_scene(ta_parameter_writer& writer, const mat4x4& trans, int animat
writer.append<ta_global_parameter::end_of_list>() = writer.append<ta_global_parameter::end_of_list>() =
ta_global_parameter::end_of_list(para_control::para_type::end_of_list); ta_global_parameter::end_of_list(para_control::para_type::end_of_list);
} }
// translucent list // punch_through list
if (1) { if (1) {
transfer_mesh(writer); transfer_mesh(writer);
@ -438,6 +445,14 @@ void update_analog(mat4x4& screen)
int db_a = ft0::data_transfer::digital_button::a(data[0].digital_button) == 0; int db_a = ft0::data_transfer::digital_button::a(data[0].digital_button) == 0;
int db_b = ft0::data_transfer::digital_button::b(data[0].digital_button) == 0; int db_b = ft0::data_transfer::digital_button::b(data[0].digital_button) == 0;
const float x_ = static_cast<float>(data[0].analog_coordinate_axis[2] - 0x80) / 127.f;
if (x_ > 0.5f) {
holly.PT_ALPHA_REF += 1;
}
if (x_ < -0.5f) {
holly.PT_ALPHA_REF -= 1;
}
int start = ft0::data_transfer::digital_button::start(data[0].digital_button) == 0; int start = ft0::data_transfer::digital_button::start(data[0].digital_button) == 0;
static int last_start = 0; static int last_start = 0;
@ -603,7 +618,7 @@ int main()
system.IML6NRM = istnrm::end_of_render_tsp system.IML6NRM = istnrm::end_of_render_tsp
| istnrm::v_blank_in | istnrm::v_blank_in
| istnrm::end_of_transferring_translucent_list; | istnrm::end_of_transferring_punch_through_list;
while (1) { while (1) {
maple::dma_wait_complete(); maple::dma_wait_complete();

View File

@ -1027,3 +1027,18 @@ BUMP_OBJ = \
example/bump.elf: LDSCRIPT = $(LIB)/main.lds example/bump.elf: LDSCRIPT = $(LIB)/main.lds
example/bump.elf: $(START_OBJ) $(BUMP_OBJ) example/bump.elf: $(START_OBJ) $(BUMP_OBJ)
LIGHTING_OBJ = \
example/lighting.o \
holly/core.o \
holly/region_array.o \
holly/background.o \
holly/ta_fifo_polygon_converter.o \
holly/video_output.o \
sh7091/serial.o \
maple/maple.o \
printf/unparse.o \
$(LIBGCC)
example/lighting.elf: LDSCRIPT = $(LIB)/main.lds
example/lighting.elf: $(START_OBJ) $(LIGHTING_OBJ)

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@ -37,6 +37,7 @@
#include "math/mat3x3.hpp" #include "math/mat3x3.hpp"
#include "math/mat4x4.hpp" #include "math/mat4x4.hpp"
#include "math/geometry.hpp" #include "math/geometry.hpp"
#include "math/transform.hpp"
#include "interrupt.hpp" #include "interrupt.hpp"
@ -224,8 +225,8 @@ void global_polygon_type_1(ta_parameter_writer& writer,
const uint32_t tsp_instruction_word = tsp_instruction_word::fog_control::no_fog const uint32_t tsp_instruction_word = tsp_instruction_word::fog_control::no_fog
| tsp_instruction_word::texture_shading_instruction::decal | tsp_instruction_word::texture_shading_instruction::decal
//| tsp_instruction_word::src_alpha_instr::one | tsp_instruction_word::src_alpha_instr::one
//| tsp_instruction_word::dst_alpha_instr::zero | tsp_instruction_word::dst_alpha_instr::zero
| texture_u_v_size | texture_u_v_size
; ;
@ -246,7 +247,10 @@ static inline void render_quad(ta_parameter_writer& writer,
vec3 bp, vec3 bp,
vec3 cp, vec3 cp,
vec3 dp, vec3 dp,
float li) float ai,
float bi,
float ci,
float di)
{ {
if (ap.z < 0 || bp.z < 0 || cp.z < 0 || dp.z < 0) if (ap.z < 0 || bp.z < 0 || cp.z < 0 || dp.z < 0)
return; return;
@ -254,22 +258,22 @@ static inline void render_quad(ta_parameter_writer& writer,
writer.append<ta_vertex_parameter::polygon_type_2>() = writer.append<ta_vertex_parameter::polygon_type_2>() =
ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(false), ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(false),
ap.x, ap.y, ap.z, ap.x, ap.y, ap.z,
li); ai);
writer.append<ta_vertex_parameter::polygon_type_2>() = writer.append<ta_vertex_parameter::polygon_type_2>() =
ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(false), ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(false),
bp.x, bp.y, bp.z, bp.x, bp.y, bp.z,
li); bi);
writer.append<ta_vertex_parameter::polygon_type_2>() = writer.append<ta_vertex_parameter::polygon_type_2>() =
ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(false), ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(false),
dp.x, dp.y, dp.z, dp.x, dp.y, dp.z,
li); di);
writer.append<ta_vertex_parameter::polygon_type_2>() = writer.append<ta_vertex_parameter::polygon_type_2>() =
ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(true), ta_vertex_parameter::polygon_type_2(polygon_vertex_parameter_control_word(true),
cp.x, cp.y, cp.z, cp.x, cp.y, cp.z,
li); ci);
} }
static inline vec3 screen_transform(vec3 v) static inline vec3 screen_transform(vec3 v)
@ -285,15 +289,7 @@ static inline vec3 screen_transform(vec3 v)
}; };
} }
#define _fsrra(n) (1.0f / (__builtin_sqrtf(n))) float light_intensity(vec3 l1, vec3 n)
static inline float inverse_length(vec3 v)
{
float f = dot(v, v);
return _fsrra(f);
}
float light_intensity(vec3 l1, vec3 l2, vec3 n)
{ {
float intensity = 0.2f; float intensity = 0.2f;
{ {
@ -301,11 +297,6 @@ float light_intensity(vec3 l1, vec3 l2, vec3 n)
if (n_dot_l > 0) if (n_dot_l > 0)
intensity += 0.9f * n_dot_l * (inverse_length(n) * inverse_length(l1)); intensity += 0.9f * n_dot_l * (inverse_length(n) * inverse_length(l1));
} }
{
float n_dot_l = dot(n, l2);
if (n_dot_l > 0)
intensity += 0.9f * n_dot_l * (inverse_length(n) * inverse_length(l2));
}
if (intensity > 1.0f) if (intensity > 1.0f)
intensity = 1.0f; intensity = 1.0f;
@ -313,13 +304,8 @@ float light_intensity(vec3 l1, vec3 l2, vec3 n)
return intensity; return intensity;
} }
constexpr int animation_frames = 26; void transfer_mesh(ta_parameter_writer& writer, const mat4x4& trans, const mesh * mesh)
constexpr int ticks_per_animation_frame = 64;
constexpr float tick_div = 1.0f / (float)ticks_per_animation_frame;
void transfer_mesh(ta_parameter_writer& writer, const mat4x4& trans, const object * object, int animation_tick)
{ {
const mesh * mesh = object->mesh;
uint32_t control = para_control::list_type::opaque; uint32_t control = para_control::list_type::opaque;
uint32_t texture_uv_size = 0; uint32_t texture_uv_size = 0;
uint32_t texture_control_word = 0; uint32_t texture_control_word = 0;
@ -329,62 +315,79 @@ void transfer_mesh(ta_parameter_writer& writer, const mat4x4& trans, const objec
texture_uv_size, texture_uv_size,
texture_control_word); texture_control_word);
vec3 position_cache[mesh->position_length];
vec3 normal_cache[mesh->normal_length];
int frame_ix0 = animation_tick / ticks_per_animation_frame;
int frame_ix1 = frame_ix0 + 1;
if (frame_ix1 >= animation_frames)
frame_ix1 = 0;
float lerp = (float)(animation_tick - (frame_ix0 * ticks_per_animation_frame)) * tick_div;
const transform& t0 = object->transforms[frame_ix0];
const transform& t1 = object->transforms[frame_ix1];
vec3 location = t0.location + ((t1.location - t0.location) * lerp);
vec4 rotation = t0.rotation + ((t1.rotation - t0.rotation) * lerp);
vec3 _scale = t0.scale + ((t1.scale - t0.scale) * lerp);
mat4x4 trans1 = trans
* translate(location)
* quaternion(rotation)
* scale(_scale);
for (int i = 0; i < mesh->position_length; i++) {
position_cache[i] = trans1 * mesh->position[i];
normal_cache[i] = normal_transform(trans * quaternion(rotation), mesh->normal[i]);
}
for (int i = 0; i < mesh->polygons_length; i++) { for (int i = 0; i < mesh->polygons_length; i++) {
const polygon * p = &mesh->polygons[i]; const struct polygon * polygon = &mesh->polygons[i];
vec3 ap = screen_transform(position_cache[p->a]); vec3 ap = trans * mesh->position[polygon->a];
vec3 bp = screen_transform(position_cache[p->b]); vec3 bp = trans * mesh->position[polygon->b];
vec3 cp = screen_transform(position_cache[p->c]); vec3 cp = trans * mesh->position[polygon->c];
vec3 dp = screen_transform(position_cache[p->d]); vec3 dp = trans * mesh->position[polygon->d];
float li = light_intensity(light_vec, light_vec2, normal_cache[p->a]); vec3 light_pos = {1.2f, 1.0f, -2.0f};
assert(li > 0); vec3 n = normal_multiply(trans, mesh->polygon_normal[i]);
render_quad(writer, ap, bp, cp, dp, li); vec3 a_light_dir = normalize(light_pos - ap);
vec3 b_light_dir = normalize(light_pos - bp);
vec3 c_light_dir = normalize(light_pos - cp);
vec3 d_light_dir = normalize(light_pos - dp);
float a_diffuse = max(dot(n, a_light_dir), 0.0f);
float b_diffuse = max(dot(n, b_light_dir), 0.0f);
float c_diffuse = max(dot(n, c_light_dir), 0.0f);
float d_diffuse = max(dot(n, d_light_dir), 0.0f);
vec3 view_pos = {0, 0, 0};
vec3 a_view_dir = normalize(view_pos - ap);
vec3 a_reflect_dir = reflect(-a_light_dir, n);
float a_spec = __builtin_powf(max(dot(a_view_dir, a_reflect_dir), 0.0f), 64.0f);
vec3 b_view_dir = normalize(view_pos - bp);
vec3 b_reflect_dir = reflect(-b_light_dir, n);
float b_spec = __builtin_powf(max(dot(b_view_dir, b_reflect_dir), 0.0f), 64.0f);
vec3 c_view_dir = normalize(view_pos - cp);
vec3 c_reflect_dir = reflect(-c_light_dir, n);
float c_spec = __builtin_powf(max(dot(c_view_dir, c_reflect_dir), 0.0f), 64.0f);
vec3 d_view_dir = normalize(view_pos - dp);
vec3 d_reflect_dir = reflect(-d_light_dir, n);
float d_spec = __builtin_powf(max(dot(d_view_dir, d_reflect_dir), 0.0f), 64.0f);
float ai = a_diffuse * 0.7 + a_spec;
float bi = b_diffuse * 0.7 + b_spec;
float ci = c_diffuse * 0.7 + c_spec;
float di = d_diffuse * 0.7 + d_spec;
render_quad(writer,
screen_transform(ap),
screen_transform(bp),
screen_transform(cp),
screen_transform(dp),
ai,
bi,
ci,
di);
} }
} }
void transfer_scene(ta_parameter_writer& writer, const mat4x4& trans, int animation_tick) void transfer_scene(ta_parameter_writer& writer, const mat4x4& screen_trans)
{ {
// opaque list // opaque list
{ {
transfer_mesh(writer, trans, &objects[0], animation_tick); for (uint32_t i = 0; i < (sizeof (objects)) / (sizeof (objects[0])); i++) {
transfer_mesh(writer, trans, &objects[1], animation_tick); mat4x4 trans = screen_trans
transfer_mesh(writer, trans, &objects[2], animation_tick); * translate(objects[i].location)
* rotate_quaternion(objects[i].rotation)
;
transfer_mesh(writer, trans, objects[i].mesh);
}
writer.append<ta_global_parameter::end_of_list>() = writer.append<ta_global_parameter::end_of_list>() =
ta_global_parameter::end_of_list(para_control::para_type::end_of_list); ta_global_parameter::end_of_list(para_control::para_type::end_of_list);
} }
} }
void update_analog(mat4x4& screen, mat4x4& model) void update_analog(mat4x4& screen)
{ {
const float l_ = static_cast<float>(data[0].analog_coordinate_axis[0]) * (1.f / 255.f); const float l_ = static_cast<float>(data[0].analog_coordinate_axis[0]) * (1.f / 255.f);
const float r_ = static_cast<float>(data[0].analog_coordinate_axis[1]) * (1.f / 255.f); const float r_ = static_cast<float>(data[0].analog_coordinate_axis[1]) * (1.f / 255.f);
@ -404,70 +407,9 @@ void update_analog(mat4x4& screen, mat4x4& model)
float y = 0; float y = 0;
float z = -0.05f * r_ + 0.05f * l_; float z = -0.05f * r_ + 0.05f * l_;
mat4x4 t = {
1, 0, 0, x,
0, 1, 0, z,
0, 0, 1, y,
0, 0, 0, 1,
};
mat4x4 rx = {
1, 0, 0, 0,
0, cos(xt), -sin(xt), 0,
0, sin(xt), cos(xt), 0,
0, 0, 0, 1,
};
mat4x4 ry = {
cos(yt), 0, sin(yt), 0,
0, 1, 0, 0,
-sin(yt), 0, cos(yt), 0,
0, 0, 0, 1,
};
screen = screen * t;
model = model * ry * rx;
} }
int format_float(char * s, float num, int pad_length) uint8_t __attribute__((aligned(32))) ta_parameter_buf[1024 * 1024];
{
int offset = 0;
bool negative = num < 0;
if (negative) num = -num;
int32_t whole = num;
int digits = digits_base10(whole);
offset += unparse_base10_unsigned(&s[offset], whole, pad_length, ' ');
if (negative)
s[offset - (digits + 1)] = '-';
s[offset++] = '.';
int32_t fraction = (int32_t)((num - (float)whole) * 1000.0);
if (fraction < 0)
fraction = -fraction;
offset += unparse_base10_unsigned(&s[offset], fraction, 3, '0');
return offset;
}
void render_matrix(ta_parameter_writer& writer, const mat4x4& trans)
{
for (int row = 0; row < 4; row++) {
char __attribute__((aligned(4))) s[64];
for (uint32_t i = 0; i < (sizeof (s)) / 4; i++)
reinterpret_cast<uint32_t *>(s)[i] = 0x20202020;
int offset = 0;
offset += format_float(&s[offset], trans[row][0], 7);
offset += format_float(&s[offset], trans[row][1], 7);
offset += format_float(&s[offset], trans[row][2], 7);
offset += format_float(&s[offset], trans[row][3], 7);
serial::string((uint8_t *)s, offset);
serial::character('\n');
}
serial::character('\n');
}
uint8_t __attribute__((aligned(32))) ta_parameter_buf[1024 * 1024 * 3];
int main() int main()
{ {
@ -510,39 +452,22 @@ int main()
mat4x4 screen_trans = { mat4x4 screen_trans = {
1, 0, 0, 0, 1, 0, 0, 0,
0, 0, -1, 0, 0, 1, 0, 0,
0, 1, 0, 7, 0, 0, 1, 4,
0, 0, 0, 1,
};
mat4x4 model_trans = {
0.805, -0.577, 0.136, 0,
0.592, 0.773, -0.224, 0,
0.024, 0.262, 0.964, 0,
0, 0, 0, 1, 0, 0, 0, 1,
}; };
do_get_condition(); do_get_condition();
int animation_tick = 0;
while (1) { while (1) {
if (0 && animation_tick == 0) { screen_trans = screen_trans * rotate_x(0.005f) * rotate_z(0.005f);
serial::string("screen:\n");
render_matrix(writer, screen_trans);
serial::string("model:\n");
render_matrix(writer, model_trans);
}
maple::dma_wait_complete(); maple::dma_wait_complete();
do_get_condition(); do_get_condition();
update_analog(screen_trans);
writer.offset = 0; writer.offset = 0;
transfer_scene(writer, screen_trans);
update_analog(screen_trans, model_trans);
transfer_scene(writer, screen_trans * model_trans, animation_tick);
// increment tick
animation_tick += 1;
if (animation_tick >= animation_frames * ticks_per_animation_frame)
animation_tick = 0;
while (ta_in_use); while (ta_in_use);
while (core_in_use); while (core_in_use);
@ -558,7 +483,7 @@ int main()
ta_polygon_converter_writeback(writer.buf, writer.offset); ta_polygon_converter_writeback(writer.buf, writer.offset);
ta_polygon_converter_transfer(writer.buf, writer.offset); ta_polygon_converter_transfer(writer.buf, writer.offset);
while (next_frame) while (next_frame == 0);
next_frame = 0; next_frame = 0;
} }
} }

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@ -37,3 +37,15 @@ constexpr float abs(const float n) noexcept
} }
constexpr float pi = 3.141592653589793; constexpr float pi = 3.141592653589793;
template <typename T>
inline constexpr float max(const T a, const T b) noexcept
{
return (a > b) ? a : b;
}
template <typename T>
inline constexpr float min(const T a, const T b) noexcept
{
return (a < b) ? a : b;
}

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@ -22,7 +22,7 @@ inline constexpr mat<4, 4, T> scale(vec<3, T> s)
}; };
} }
template <template T> template <typename T>
inline constexpr mat<4, 4, T> rotate_x(T t) inline constexpr mat<4, 4, T> rotate_x(T t)
{ {
return { return {
@ -84,7 +84,7 @@ inline constexpr mat<4, 4, T> rotate_axis_angle(vec<4, T> u)
} }
template <typename T> template <typename T>
inline constexpr mat<4, 4, T> rotate_quaternion(vec<4, T> v) inline constexpr mat<4, 4, T> rotate_quaternion(vec<4, T> r)
{ {
T xx2 = 2 * r.x * r.x; T xx2 = 2 * r.x * r.x;
T xy2 = 2 * r.x * r.y; T xy2 = 2 * r.x * r.y;

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@ -172,3 +172,9 @@ inline constexpr vec<3, T> normalize(vec<3, T> const& v)
{ {
return v / magnitude(v); return v / magnitude(v);
} }
template <typename T>
inline constexpr vec<3, T> reflect(vec<3, T> const& i, vec<3, T> const& n)
{
return i - dot(n, i) * n * static_cast<T>(2.0);
}

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@ -5,8 +5,10 @@ struct polygon {
struct mesh { struct mesh {
const vec3 * position; const vec3 * position;
const int position_length; const int position_length;
const vec3 * normal; //const vec3 * normal;
const int normal_length; //const int normal_length;
const vec3 * polygon_normal;
const int polygon_normal_length;
const polygon * polygons; const polygon * polygons;
const int polygons_length; const int polygons_length;
const vec2 ** uv_layers; const vec2 ** uv_layers;

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@ -738,7 +738,7 @@ const vec2 * mesh_Grid_uv_layers[] = {
const mesh mesh_Grid = { const mesh mesh_Grid = {
.position = mesh_Grid_position, .position = mesh_Grid_position,
.position_length = (sizeof (mesh_Grid_position)) / (sizeof (mesh_Grid_position[0])), .position_length = (sizeof (mesh_Grid_position)) / (sizeof (mesh_Grid_position[0])),
.polygon_normal = mesh_Grid_polyon_normal, .polygon_normal = mesh_Grid_polygon_normal,
.polygon_normal_length = (sizeof (mesh_Grid_polygon_normal)) / (sizeof (mesh_Grid_polygon_normal[0])), .polygon_normal_length = (sizeof (mesh_Grid_polygon_normal)) / (sizeof (mesh_Grid_polygon_normal[0])),
.polygons = mesh_Grid_polygons, .polygons = mesh_Grid_polygons,
.polygons_length = (sizeof (mesh_Grid_polygons)) / (sizeof (mesh_Grid_polygons[0])), .polygons_length = (sizeof (mesh_Grid_polygons)) / (sizeof (mesh_Grid_polygons[0])),