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draw level

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This commit is contained in:
Zack Buhman 2025-12-04 12:19:16 -06:00
parent 315512da12
commit edf47747f9
27 changed files with 3046 additions and 45 deletions
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21
Makefile
View File

@ -13,6 +13,8 @@ CXXSTD += -std=gnu++23
CFLAGS += -Wall -Werror -Wfatal-errors CFLAGS += -Wall -Werror -Wfatal-errors
CFLAGS += -Wno-error=unused-function CFLAGS += -Wno-error=unused-function
CFLAGS += -Wno-error=unused-const-variable CFLAGS += -Wno-error=unused-const-variable
CFLAGS += -Wno-error=unused-but-set-variable
CFLAGS += -Wno-error=unused-variable
CFLAGS += -I$(MAKEFILE_PATH)/include CFLAGS += -I$(MAKEFILE_PATH)/include
LDFLAGS += -lm LDFLAGS += -lm
@ -59,8 +61,8 @@ define BUILD_BINARY_H
@echo 'extern uint32_t $(call as_obj_binary_p,$<)_end __asm("$(call as_obj_binary_p,$<)_end");' >> $@ @echo 'extern uint32_t $(call as_obj_binary_p,$<)_end __asm("$(call as_obj_binary_p,$<)_end");' >> $@
@echo 'extern uint32_t $(call as_obj_binary_p,$<)_size __asm("$(call as_obj_binary_p,$<)_size");' >> $@ @echo 'extern uint32_t $(call as_obj_binary_p,$<)_size __asm("$(call as_obj_binary_p,$<)_size");' >> $@
@echo '' >> $@ @echo '' >> $@
@echo '#define $(call as_obj_binary,$<)_start ((void *)&$(call as_obj_binary_p,$<)_start)' >> $@ @echo '#define $(call as_obj_binary,$<)_start ((const char *)&$(call as_obj_binary_p,$<)_start)' >> $@
@echo '#define $(call as_obj_binary,$<)_end ((void *)&$(call as_obj_binary_p,$<)_end)' >> $@ @echo '#define $(call as_obj_binary,$<)_end ((const char *)&$(call as_obj_binary_p,$<)_end)' >> $@
@echo '#define $(call as_obj_binary,$<)_size ($(call as_obj_binary,$<)_end - $(call as_obj_binary,$<)_start)' >> $@ @echo '#define $(call as_obj_binary,$<)_size ($(call as_obj_binary,$<)_end - $(call as_obj_binary,$<)_start)' >> $@
@echo '' >> $@ @echo '' >> $@
@echo '#ifdef __cplusplus' >> $@ @echo '#ifdef __cplusplus' >> $@
@ -74,6 +76,18 @@ endef
include/shader/%.glsl.h: src/shader/%.glsl include/shader/%.glsl.h: src/shader/%.glsl
$(BUILD_BINARY_H) $(BUILD_BINARY_H)
%.data.o: %.data
$(BUILD_BINARY_O)
include/level/%.data.h: src/level/%.data
$(BUILD_BINARY_H)
%.data.pal.o: %.data.pal
$(BUILD_BINARY_O)
include/level/%.data.pal.h: src/level/%.data.pal
$(BUILD_BINARY_H)
clean: clean:
rm -f *.o *.d *.gch rm -f *.o *.d *.gch
rm -f main rm -f main
@ -88,7 +102,10 @@ MAIN_OBJS = \
src/main.o \ src/main.o \
src/glad.o \ src/glad.o \
src/opengl.o \ src/opengl.o \
src/render.o \
$(patsubst %.glsl,%.glsl.o,$(wildcard src/shader/*.glsl)) \ $(patsubst %.glsl,%.glsl.o,$(wildcard src/shader/*.glsl)) \
$(patsubst %.data,%.data.o,$(wildcard src/level/*.data)) \
$(patsubst %.data.pal,%.data.pal.o,$(wildcard src/level/*.data.pal)) \
$(GLFW) $(GLFW)
main: $(MAIN_OBJS) main: $(MAIN_OBJS)

19
include/level/level1.data.h Normal file
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@ -0,0 +1,19 @@
#pragma once
#include <stdint.h>
#ifdef __cplusplus
extern "C" {
#endif
extern uint32_t _binary_src_level_level1_data_start __asm("_binary_src_level_level1_data_start");
extern uint32_t _binary_src_level_level1_data_end __asm("_binary_src_level_level1_data_end");
extern uint32_t _binary_src_level_level1_data_size __asm("_binary_src_level_level1_data_size");
#define src_level_level1_data_start ((const char *)&_binary_src_level_level1_data_start)
#define src_level_level1_data_end ((const char *)&_binary_src_level_level1_data_end)
#define src_level_level1_data_size (src_level_level1_data_end - src_level_level1_data_start)
#ifdef __cplusplus
}
#endif

19
include/level/level1.data.pal.h Normal file
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@ -0,0 +1,19 @@
#pragma once
#include <stdint.h>
#ifdef __cplusplus
extern "C" {
#endif
extern uint32_t _binary_src_level_level1_data_pal_start __asm("_binary_src_level_level1_data_pal_start");
extern uint32_t _binary_src_level_level1_data_pal_end __asm("_binary_src_level_level1_data_pal_end");
extern uint32_t _binary_src_level_level1_data_pal_size __asm("_binary_src_level_level1_data_pal_size");
#define src_level_level1_data_pal_start ((const char *)&_binary_src_level_level1_data_pal_start)
#define src_level_level1_data_pal_end ((const char *)&_binary_src_level_level1_data_pal_end)
#define src_level_level1_data_pal_size (src_level_level1_data_pal_end - src_level_level1_data_pal_start)
#ifdef __cplusplus
}
#endif

5
include/math/constants.hpp Normal file
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@ -0,0 +1,5 @@
#pragma once
#define PI (3.14159274101257324219f)
#define PI_2 (PI * 2.0f)
#define I_PI_2 (1.0f / (PI_2))

15
include/math/float_types.hpp Normal file
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@ -0,0 +1,15 @@
#pragma once
#include "vec2.hpp"
#include "vec3.hpp"
#include "vec4.hpp"
#include "mat2x2.hpp"
#include "mat3x3.hpp"
#include "mat4x4.hpp"
using vec2 = vec<2, float>;
using vec3 = vec<3, float>;
using vec4 = vec<4, float>;
using mat2x2 = mat<2, 2, float>;
using mat3x3 = mat<3, 3, float>;
using mat4x4 = mat<4, 4, float>;

26
include/math/mat.hpp Normal file
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@ -0,0 +1,26 @@
#pragma once
template <int R, int C, typename T>
struct mat;
template <int R, int C, typename T>
inline constexpr typename mat<R, C, T>::col_type
col(mat<R, C, T> const& m, int c)
{
typename mat<R, C, T>::col_type v;
for (int r = 0; r < R; r++) {
v[r] = m[r][c];
}
return v;
}
template <int R, typename T>
inline constexpr vec<3, T>
col(mat<R, 4, T> const& m, int c)
{
vec<3, T> v;
for (int r = 0; r < 3; r++) {
v[r] = m[r][c];
}
return v;
}

112
include/math/mat2x2.hpp Normal file
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@ -0,0 +1,112 @@
#pragma once
#include <utility>
#include "vec2.hpp"
#include "mat.hpp"
//
// mat2x2
//
template <typename T>
struct mat<2, 2, T>
{
typedef vec<2, T> row_type;
typedef vec<2, T> col_type;
private:
row_type value[2];
public:
inline constexpr mat();
inline constexpr mat
(
T const& a00, T const& a01,
T const& a10, T const& a11
);
inline static constexpr int length() { return 4; }
inline constexpr typename mat<2, 2, T>::row_type &
operator[](int i);
inline constexpr typename mat<2, 2, T>::row_type const &
operator[](int i) const;
void operator=(const mat<2, 2, T>&) = delete;
};
template<typename T>
inline constexpr mat<2, 2, T>::mat()
: value{std::move(row_type(1, 0)),
std::move(row_type(0, 1))}
{ }
template<typename T>
inline constexpr mat<2, 2, T>::mat
(
T const& a00, T const& a01,
T const& a10, T const& a11
)
: value{std::move(row_type(a00, a01)),
std::move(row_type(a10, a11))}
{ }
template <typename T>
inline constexpr typename mat<2, 2, T>::row_type &
mat<2, 2, T>::operator[](int i)
{
return value[i];
}
template <typename T>
inline constexpr typename mat<2, 2, T>::row_type const &
mat<2, 2, T>::operator[](int i) const
{
return value[i];
}
template<typename T>
inline constexpr mat<2, 2, T> operator*(mat<2, 2, T> const& m1, mat<2, 2, T> const& m2)
{
#define c(i, j) ( \
m1[i][0] * m2[0][j] \
+ m1[i][1] * m2[1][j])
return mat<2, 2, T>(c(0,0), c(0,1),
c(1,0), c(1,1));
#undef c
}
template<typename T>
inline constexpr typename mat<2, 2, T>::row_type operator*
(
mat<2, 2, T> const& m,
typename mat<2, 2, T>::col_type const& v
)
{
#define c(i) ( \
m[i][0] * v[0] \
+ m[i][1] * v[1])
return typename mat<2, 2, T>::row_type(c(0), c(1));
#undef c
}
template<typename T>
inline constexpr mat<2, 2, T> transpose(mat<2, 2, T> const& m)
{
return mat<2, 2, T>(
m[0][0], m[1][0],
m[0][1], m[1][1]
);
}
template<typename T>
inline constexpr float determinant(mat<2, 2, T> const& a)
{
return a[0][0] * a[1][1] - a[0][1] * a[1][0];
}

201
include/math/mat3x3.hpp Normal file
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@ -0,0 +1,201 @@
#pragma once
#include <utility>
#include "vec3.hpp"
#include "mat.hpp"
//
// mat3x3
//
template <typename T>
struct mat<3, 3, T>
{
typedef vec<3, T> row_type;
typedef vec<3, T> col_type;
private:
row_type value[3];
public:
inline constexpr mat();
inline constexpr mat
(
T const& a00, T const& a01, T const& a02,
T const& a10, T const& a11, T const& a12,
T const& a20, T const& a21, T const& a22
);
inline static constexpr int length() { return 3; }
inline constexpr typename mat<3, 3, T>::row_type &
operator[](int i);
inline constexpr typename mat<3, 3, T>::row_type const &
operator[](int i) const;
//void operator=(const mat<3, 3, T>&) = delete;
};
template<typename T>
inline constexpr mat<3, 3, T>::mat()
: value{std::move(row_type(1, 0, 0)),
std::move(row_type(0, 1, 0)),
std::move(row_type(0, 0, 1))}
{ }
template<typename T>
inline constexpr mat<3, 3, T>::mat
(
T const& a00, T const& a01, T const& a02,
T const& a10, T const& a11, T const& a12,
T const& a20, T const& a21, T const& a22
)
: value{std::move(row_type(a00, a01, a02)),
std::move(row_type(a10, a11, a12)),
std::move(row_type(a20, a21, a22))}
{ }
template <typename T>
inline constexpr typename mat<3, 3, T>::row_type &
mat<3, 3, T>::operator[](int i)
{
return value[i];
}
template <typename T>
inline constexpr typename mat<3, 3, T>::row_type const &
mat<3, 3, T>::operator[](int i) const
{
return value[i];
}
template<typename T>
inline constexpr mat<3, 3, T> operator+(mat<3, 3, T> const& m1, mat<3, 3, T> const& m2)
{
#define c(i, j) ( m1[i][j] + m2[i][j] )
return mat<3, 3, T>(c(0,0), c(0,1), c(0,2),
c(1,0), c(1,1), c(1,2),
c(2,0), c(2,1), c(2,2));
#undef c
}
template<typename T>
inline constexpr mat<3, 3, T> operator*(mat<3, 3, T> const& m1, mat<3, 3, T> const& m2)
{
#define c(i, j) ( \
m1[i][0] * m2[0][j] \
+ m1[i][1] * m2[1][j] \
+ m1[i][2] * m2[2][j] )
return mat<3, 3, T>(c(0,0), c(0,1), c(0,2),
c(1,0), c(1,1), c(1,2),
c(2,0), c(2,1), c(2,2));
#undef c
}
template<typename T>
inline constexpr mat<3, 3, T> operator*(mat<3, 3, T> const& m1, float s)
{
#define c(i, j) ( m1[i][j] * s )
return mat<3, 3, T>(c(0,0), c(0,1), c(0,2),
c(1,0), c(1,1), c(1,2),
c(2,0), c(2,1), c(2,2));
#undef c
}
template<typename T>
inline constexpr typename mat<3, 3, T>::row_type operator*
(
mat<3, 3, T> const& m,
typename mat<3, 3, T>::col_type const& v
)
{
#define c(i) ( \
m[i][0] * v[0] \
+ m[i][1] * v[1] \
+ m[i][2] * v[2] )
return typename mat<3, 3, T>::row_type(c(0), c(1), c(2));
#undef c
}
template<typename T>
inline constexpr mat<3, 3, T> transpose(mat<3, 3, T> const& m)
{
return mat<3, 3, T>(
m[0][0], m[1][0], m[2][0],
m[0][1], m[1][1], m[2][1],
m[0][2], m[1][2], m[2][2]
);
}
template<typename T>
inline constexpr mat<2, 2, T> submatrix(mat<3, 3, T> const& a, int r, int c)
{
mat<2, 2, T> b;
int row2 = 0;
for (int row3 = 0; row3 < 3; row3++) {
if (row3 == r) continue;
int col2 = 0;
for (int col3 = 0; col3 < 3; col3++) {
if (col3 == c) continue;
b[row2][col2] = a[row3][col3];
col2++;
}
row2++;
}
return b;
}
template<typename T>
inline constexpr float minor(mat<3, 3, T> const& a, int r, int c)
{
mat<2, 2, T> s = submatrix(a, r, c);
float ret = determinant(s);
return ret;
}
template<typename T>
inline constexpr float cofactor(mat<3, 3, T> const& a, int r, int c)
{
float m = minor(a, r, c);
if ((r + c) & 1)
return -m;
else
return m;
}
template<typename T>
inline constexpr float determinant(mat<3, 3, T> const& a)
{
float f0 = cofactor(a, 0, 0);
float f1 = cofactor(a, 0, 1);
float f2 = cofactor(a, 0, 2);
return
a[0][0] * f0 +
a[0][1] * f1 +
a[0][2] * f2;
}
template<typename T>
inline constexpr mat<3, 3, T> inverse(mat<3, 3, T> const& a)
{
mat<3, 3, T> m;
float idet = 1.0f / determinant(a);
m[0][0] = cofactor(a, 0, 0) * idet;
m[1][0] = cofactor(a, 0, 1) * idet;
m[2][0] = cofactor(a, 0, 2) * idet;
m[0][1] = cofactor(a, 1, 0) * idet;
m[1][1] = cofactor(a, 1, 1) * idet;
m[2][1] = cofactor(a, 1, 2) * idet;
m[0][2] = cofactor(a, 2, 0) * idet;
m[1][2] = cofactor(a, 2, 1) * idet;
m[2][2] = cofactor(a, 2, 2) * idet;
return m;
}

247
include/math/mat4x4.hpp Normal file
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@ -0,0 +1,247 @@
#pragma once
#include <utility>
#include "vec4.hpp"
#include "mat.hpp"
//
// mat4x4
//
template <typename T>
struct mat<4, 4, T>
{
typedef vec<4, T> row_type;
typedef vec<4, T> col_type;
private:
row_type value[4];
public:
inline constexpr mat();
inline constexpr mat
(
T const& a00, T const& a01, T const& a02, T const& a03,
T const& a10, T const& a11, T const& a12, T const& a13,
T const& a20, T const& a21, T const& a22, T const& a23,
T const& a30, T const& a31, T const& a32, T const& a33
);
inline static constexpr int length() { return 4; }
inline constexpr typename mat<4, 4, T>::row_type &
operator[](int i);
inline constexpr typename mat<4, 4, T>::row_type const &
operator[](int i) const;
//void operator=(const mat<4, 4, T>&) = delete;
};
template<typename T>
inline constexpr mat<4, 4, T>::mat()
: value{std::move(row_type(1, 0, 0, 0)),
std::move(row_type(0, 1, 0, 0)),
std::move(row_type(0, 0, 1, 0)),
std::move(row_type(0, 0, 0, 1))}
{ }
template<typename T>
inline constexpr mat<4, 4, T>::mat
(
T const& a00, T const& a01, T const& a02, T const& a03,
T const& a10, T const& a11, T const& a12, T const& a13,
T const& a20, T const& a21, T const& a22, T const& a23,
T const& a30, T const& a31, T const& a32, T const& a33
)
: value{std::move(row_type(a00, a01, a02, a03)),
std::move(row_type(a10, a11, a12, a13)),
std::move(row_type(a20, a21, a22, a23)),
std::move(row_type(a30, a31, a32, a33))}
{ }
template <typename T>
inline constexpr typename mat<4, 4, T>::row_type &
mat<4, 4, T>::operator[](int i)
{
return value[i];
}
template <typename T>
inline constexpr typename mat<4, 4, T>::row_type const &
mat<4, 4, T>::operator[](int i) const
{
return value[i];
}
template<typename T>
inline constexpr mat<4, 4, T> operator+(mat<4, 4, T> const& m1, mat<4, 4, T> const& m2)
{
#define c(i, j) ( m1[i][j] + m2[i][j] )
return mat<4, 4, T>(c(0,0), c(0,1), c(0,2), c(0,3),
c(1,0), c(1,1), c(1,2), c(1,3),
c(2,0), c(2,1), c(2,2), c(2,3),
c(3,0), c(3,1), c(3,2), c(3,3));
#undef c
}
template<typename T>
inline constexpr mat<4, 4, T> operator*(mat<4, 4, T> const& m1, mat<4, 4, T> const& m2)
{
#define c(i, j) ( \
m1[i][0] * m2[0][j] \
+ m1[i][1] * m2[1][j] \
+ m1[i][2] * m2[2][j] \
+ m1[i][3] * m2[3][j] )
return mat<4, 4, T>(c(0,0), c(0,1), c(0,2), c(0,3),
c(1,0), c(1,1), c(1,2), c(1,3),
c(2,0), c(2,1), c(2,2), c(2,3),
c(3,0), c(3,1), c(3,2), c(3,3));
#undef c
}
template<typename T>
inline constexpr mat<4, 4, T> operator*(mat<4, 4, T> const& m1, float s)
{
#define c(i, j) ( m1[i][j] * s )
return mat<4, 4, T>(c(0,0), c(0,1), c(0,2), c(0,3),
c(1,0), c(1,1), c(1,2), c(1,3),
c(2,0), c(2,1), c(2,2), c(2,3),
c(3,0), c(3,1), c(3,2), c(3,3));
#undef c
}
template<typename T>
inline constexpr typename mat<4, 4, T>::row_type operator*
(
mat<4, 4, T> const& m,
typename mat<4, 4, T>::col_type const& v
)
{
#define c(i) ( \
m[i][0] * v[0] \
+ m[i][1] * v[1] \
+ m[i][2] * v[2] \
+ m[i][3] * v[3] )
return typename mat<4, 4, T>::row_type(c(0), c(1), c(2), c(3));
#undef c
}
template<typename T>
inline constexpr vec<3, T> operator*
(
mat<4, 4, T> const& m,
vec<3, T> const& v
)
{
#define c(i) ( \
m[i][0] * v[0] \
+ m[i][1] * v[1] \
+ m[i][2] * v[2] \
+ m[i][3] )
return vec<3, T>(c(0), c(1), c(2));
#undef c
}
template<typename T>
inline constexpr mat<4, 4, T> transpose(mat<4, 4, T> const& m)
{
return mat<4, 4, T>(
m[0][0], m[1][0], m[2][0], m[3][0],
m[0][1], m[1][1], m[2][1], m[3][1],
m[0][2], m[1][2], m[2][2], m[3][2],
m[0][3], m[1][3], m[2][3], m[3][3]
);
}
template<typename T>
inline constexpr mat<3, 3, T> submatrix(mat<4, 4, T> const& a, int r, int c)
{
mat<3, 3, T> b;
int row3 = 0;
for (int row4 = 0; row4 < 4; row4++) {
if (row4 == r) continue;
int col3 = 0;
for (int col4 = 0; col4 < 4; col4++) {
if (col4 == c) continue;
b[row3][col3] = a[row4][col4];
col3++;
}
row3++;
}
return b;
}
template<typename T>
inline constexpr float minor(mat<4, 4, T> const& a, int r, int c)
{
mat<3, 3, T> s = submatrix(a, r, c);
float ret = determinant(s);
return ret;
}
template<typename T>
inline constexpr float cofactor(mat<4, 4, T> const& a, int r, int c)
{
float m = minor(a, r, c);
if ((r + c) & 1)
return -m;
else
return m;
}
template<typename T>
inline constexpr float determinant(mat<4, 4, T> const& a)
{
float f0 = cofactor(a, 0, 0);
float f1 = cofactor(a, 0, 1);
float f2 = cofactor(a, 0, 2);
float f3 = cofactor(a, 0, 3);
return
a[0][0] * f0 +
a[0][1] * f1 +
a[0][2] * f2 +
a[0][3] * f3;
}
template<typename T>
inline constexpr mat<4, 4, T> inverse(mat<4, 4, T> const& a)
{
mat<4, 4, T> m;
float idet = 1.0f / determinant(a);
m[0][0] = cofactor(a, 0, 0) * idet;
m[1][0] = cofactor(a, 0, 1) * idet;
m[2][0] = cofactor(a, 0, 2) * idet;
m[3][0] = cofactor(a, 0, 3) * idet;
m[0][1] = cofactor(a, 1, 0) * idet;
m[1][1] = cofactor(a, 1, 1) * idet;
m[2][1] = cofactor(a, 1, 2) * idet;
m[3][1] = cofactor(a, 1, 3) * idet;
m[0][2] = cofactor(a, 2, 0) * idet;
m[1][2] = cofactor(a, 2, 1) * idet;
m[2][2] = cofactor(a, 2, 2) * idet;
m[3][2] = cofactor(a, 2, 3) * idet;
m[0][3] = cofactor(a, 3, 0) * idet;
m[1][3] = cofactor(a, 3, 1) * idet;
m[2][3] = cofactor(a, 3, 2) * idet;
m[3][3] = cofactor(a, 3, 3) * idet;
return m;
}
template<typename T>
inline constexpr mat<4, 4, T> identity()
{
return mat<4, 4, T>(1.0f, 0.0f, 0.0f, 0.0f,
0.0f, 1.0f, 0.0f, 0.0f,
0.0f, 0.0f, 1.0f, 0.0f,
0.0f, 0.0f, 0.0f, 1.0f);
}

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#pragma once
#include "vec.hpp"
#include "mat.hpp"
template<typename T>
inline constexpr mat<4, 4, T> translate(vec<3, T> t)
{
return {
1, 0, 0, t.x,
0, 1, 0, t.y,
0, 0, 1, t.z,
0, 0, 0, 1
};
}
template <typename T>
inline constexpr mat<4, 4, T> scale(vec<3, T> s)
{
return {
s.x, 0, 0, 0,
0, s.y, 0, 0,
0, 0, s.z, 0,
0, 0, 0, 1
};
}
template <typename T>
inline constexpr mat<4, 4, T> scale(T s)
{
return {
s, 0, 0, 0,
0, s, 0, 0,
0, 0, s, 0,
0, 0, 0, 1
};
}
template <typename T>
inline constexpr mat<4, 4, T> rotate_x(T t)
{
return {
1, 0, 0, 0,
0, cos(t), -sin(t), 0,
0, sin(t), cos(t), 0,
0, 0, 0, 1
};
}
template <typename T>
inline constexpr mat<4, 4, T> rotate_y(T t)
{
return {
cos(t), 0, sin(t), 0,
0, 1, 0, 0,
-sin(t), 0, cos(t), 0,
0, 0, 0, 1
};
}
template <typename T>
inline constexpr mat<4, 4, T> rotate_z(T t)
{
return {
cos(t), -sin(t), 0, 0,
sin(t), cos(t), 0, 0,
0, 0, 1, 0,
0, 0, 0, 1
};
}
template <typename T>
inline constexpr mat<4, 4, T> rotate_axis_angle(vec<3, T> u, T t)
{
T st = sin(t);
T ct = cos(t);
T oct = 1.0 - ct;
T xx = u.x * u.x;
T xy = u.x * u.y;
T xz = u.x * u.z;
T yy = u.y * u.y;
T yz = u.y * u.z;
T zz = u.z * u.z;
return {
xx * oct + ct, xy * oct - u.z * st, xz * oct + u.y * st, 0,
xy * oct + u.z * st, yy * oct + ct, yz * oct - u.x * st, 0,
xz * oct - u.y * st, yz * oct + u.x * st, zz * oct + ct, 0,
0, 0, 0, 0
};
}
template <typename T>
inline constexpr mat<4, 4, T> rotate_axis_angle(vec<4, T> u)
{
return rotate_axis_angle({u.x, u.y, u.z}, u.w);
}
template <typename T>
inline constexpr mat<4, 4, T> rotate_quaternion(vec<4, T> r)
{
T xx2 = 2 * r.x * r.x;
T xy2 = 2 * r.x * r.y;
T xz2 = 2 * r.x * r.z;
T xw2 = 2 * r.x * r.w;
T yy2 = 2 * r.y * r.y;
T yz2 = 2 * r.y * r.z;
T yw2 = 2 * r.y * r.w;
T zz2 = 2 * r.z * r.z;
T zw2 = 2 * r.z * r.w;
return {
1 - yy2 - zz2, xy2 - zw2, xz2 + yw2, 0,
xy2 + zw2, 1 - xx2 - zz2, yz2 - xw2, 0,
xz2 - yw2, yz2 + xw2, 1 - xx2 - yy2, 0,
0, 0, 0, 1,
};
}
template <typename T>
inline constexpr mat<4, 4, T> look_at(vec<3, T> eye, vec<3, T> center, vec<3, T> up)
{
vec<3, T> z = normalize(eye - center);
vec<3, T> y = up;
vec<3, T> x = cross(y, z);
y = cross(z, x);
x = normalize(x);
y = normalize(y);
mat<4, 4, T> mat = {
x.x, x.y, x.z, -dot(x, eye),
y.x, y.y, y.z, -dot(y, eye),
z.x, z.y, z.z, -dot(z, eye),
0, 0, 0, 1,
};
return mat;
}
template <typename T>
inline constexpr vec<3, T> normal_multiply(mat<4, 4, T> m, vec<3, T> n)
{
vec<4, T> n4 = m * (vec<4, T>){n.x, n.y, n.z, 0.0};
return {n4.x, n4.y, n4.z};
}
template <typename T>
inline constexpr T inverse_length(vec<3, T> v)
{
float f = dot(v, v);
return 1.0f / sqrt(f);
}
template <typename T>
inline constexpr T screen_transform(T x, T y)
{
T x2 = x / 2.0;
T y2 = y / 2.0;
return {
y2, 0, 0, x2,
0, y2, 0, y2,
0, 0, 1, 0,
0, 0, 0, 1
};
}

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#pragma once
template <int L, typename T>
struct vec;
template <int L, typename T>
inline constexpr T magnitude(vec<L, T> const& v)
{
return sqrt(dot(v, v));
}
template <int L, typename T>
inline constexpr T magnitude_squared(vec<L, T> const& v)
{
return dot(v, v);
}
template <int L, typename T>
inline constexpr vec<L, T> normalize(vec<L, T> const& v)
{
T d = 1.0f / magnitude(v);
return v * d;
}
template <int L, typename T>
inline constexpr vec<3, T> reflect(vec<L, T> const& i, vec<L, T> const& n)
{
return i - dot(n, i) * n * static_cast<T>(2.0);
}

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#pragma once
#include "vec.hpp"
//
// vec3
//
template <typename T>
struct vec<2, T>
{
union {
T val[2];
struct { T x, y; };
struct { T u, v; };
};
inline constexpr vec();
inline constexpr vec(T scalar);
inline constexpr vec(T _x, T _y);
constexpr inline vec<2, T> operator-() const;
inline constexpr T & operator[](int i);
inline constexpr T const& operator[](int i) const;
inline constexpr vec<2, T>& operator=(vec<2, T> const& v);
inline constexpr vec<2, T>& operator+=(vec<2, T> const& v);
inline constexpr vec<2, T>& operator-=(vec<2, T> const& v);
};
template <typename T>
inline constexpr vec<2, T>::vec()
: x(0), y(0)
{}
template <typename T>
inline constexpr vec<2, T>::vec(T scalar)
: x(scalar), y(scalar)
{}
template <typename T>
inline constexpr vec<2, T>::vec(T _x, T _y)
: x(_x), y(_y)
{}
template <typename T>
constexpr inline vec<2, T> vec<2, T>::operator-() const
{
return vec<2, T>(-x, -y);
}
template <typename T>
inline constexpr T & vec<2, T>::operator[](int i)
{
return val[i];
}
template <typename T>
inline constexpr T const& vec<2, T>::operator[](int i) const
{
return val[i];
}
template <typename T>
inline constexpr vec<2, T>& vec<2, T>::operator=(vec<2, T> const& v)
{
this->x = static_cast<T>(v.x);
this->y = static_cast<T>(v.y);
return *this;
}
template <typename T>
inline constexpr vec<2, T>& vec<2, T>::operator+=(vec<2, T> const& v)
{
*this = *this + vec<2, T>(v);
return *this;
}
template <typename T>
inline constexpr vec<2, T>& vec<2, T>::operator-=(vec<2, T> const& v)
{
*this = *this - vec<2, T>(v);
return *this;
}
template <typename T>
inline constexpr vec<2, T> operator+(vec<2, T> const& v1, vec<2, T> const& v2)
{
return vec<2, T>(v1.x + v2.x,
v1.y + v2.y);
}
template <typename T>
inline constexpr vec<2, T> operator-(vec<2, T> const& v1, vec<2, T> const& v2)
{
return vec<2, T>(v1.x - v2.x,
v1.y - v2.y);
}
template <typename T>
inline constexpr vec<2, T> operator*(vec<2, T> const& v1, vec<2, T> const& v2)
{
return vec<2, T>(v1.x * v2.x,
v1.y * v2.y);
}
template <typename T>
inline constexpr vec<2, T> operator*(vec<2, T> const& v1, T const& scalar)
{
return v1 * vec<2, T>(scalar);
}
template <typename T>
inline constexpr vec<2, T> operator*(T const& scalar, vec<2, T> const& v1)
{
return vec<2, T>(scalar) * v1;
}
template <typename T>
inline constexpr vec<2, T> operator/(vec<2, T> const& v1, vec<2, T> const& v2)
{
return vec<2, T>(v1.x / v2.x,
v1.y / v2.y);
}
template <typename T>
inline constexpr vec<2, T> operator/(vec<2, T> const& v1, T const& scalar)
{
return v1 / vec<2, T>(scalar);
}
template <typename T>
inline constexpr T dot(vec<2, T> const& v1, vec<2, T> const& v2)
{
vec<2, T> tmp(v1 * v2);
return tmp.x + tmp.y;
}
template <typename T>
inline constexpr T cross(vec<2, T> const& v1, vec<2, T> const& v2)
{
return v1.x * v2.y - v2.x * v1.y;
}
template <typename T>
inline constexpr vec<2, T> functor1(T (&func) (T const& x), vec<2, T> const& v)
{
return vec<2, T>(func(v.x), func(v.y));
}
template <typename T, typename U>
inline constexpr vec<2, U> functor1(U (&func) (T const& x), vec<2, T> const& v)
{
return vec<2, U>(func(v.x), func(v.y));
}

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#pragma once
#include "vec.hpp"
//
// vec3
//
template <typename T>
struct vec<3, T>
{
union {
T val[3];
struct { T x, y, z; };
struct { T r, g, b; };
};
inline constexpr vec();
inline constexpr vec(T scalar);
inline constexpr vec(T _x, T _y, T _z);
constexpr inline vec<3, T> operator-() const;
inline constexpr T & operator[](int i);
inline constexpr T const& operator[](int i) const;
inline constexpr vec<3, T>& operator=(vec<3, T> const& v);
inline constexpr vec<3, T>& operator+=(vec<3, T> const& v);
inline constexpr vec<3, T>& operator-=(vec<3, T> const& v);
inline constexpr vec<3, T>& operator*=(T const& scalar);
};
template <typename T>
inline constexpr vec<3, T>::vec()
: x(0), y(0), z(0)
{}
template <typename T>
inline constexpr vec<3, T>::vec(T scalar)
: x(scalar), y(scalar), z(scalar)
{}
template <typename T>
inline constexpr vec<3, T>::vec(T _x, T _y, T _z)
: x(_x), y(_y), z(_z)
{}
template <typename T>
constexpr inline vec<3, T> vec<3, T>::operator-() const
{
return vec<3, T>(-x, -y, -z);
}
template <typename T>
inline constexpr T & vec<3, T>::operator[](int i)
{
return val[i];
}
template <typename T>
inline constexpr T const& vec<3, T>::operator[](int i) const
{
return val[i];
}
template <typename T>
inline constexpr vec<3, T>& vec<3, T>::operator=(vec<3, T> const& v)
{
this->x = static_cast<T>(v.x);
this->y = static_cast<T>(v.y);
this->z = static_cast<T>(v.z);
return *this;
}
template <typename T>
inline constexpr vec<3, T>& vec<3, T>::operator+=(vec<3, T> const& v)
{
*this = *this + vec<3, T>(v);
return *this;
}
template <typename T>
inline constexpr vec<3, T>& vec<3, T>::operator-=(vec<3, T> const& v)
{
*this = *this - vec<3, T>(v);
return *this;
}
template <typename T>
inline constexpr vec<3, T>& vec<3, T>::operator*=(T const& scalar)
{
*this = *this * scalar;
return *this;
}
template <typename T>
inline constexpr vec<3, T> operator+(vec<3, T> const& v1, vec<3, T> const& v2)
{
return vec<3, T>(v1.x + v2.x,
v1.y + v2.y,
v1.z + v2.z);
}
template <typename T>
inline constexpr vec<3, T> operator-(vec<3, T> const& v1, vec<3, T> const& v2)
{
return vec<3, T>(v1.x - v2.x,
v1.y - v2.y,
v1.z - v2.z);
}
template <typename T>
inline constexpr vec<3, T> operator*(vec<3, T> const& v1, vec<3, T> const& v2)
{
return vec<3, T>(v1.x * v2.x,
v1.y * v2.y,
v1.z * v2.z);
}
template <typename T>
inline constexpr vec<3, T> operator*(vec<3, T> const& v1, T const& scalar)
{
return v1 * vec<3, T>(scalar);
}
template <typename T>
inline constexpr vec<3, T> operator*(T const& scalar, vec<3, T> const& v1)
{
return vec<3, T>(scalar) * v1;
}
template <typename T>
inline constexpr vec<3, T> operator/(vec<3, T> const& v1, vec<3, T> const& v2)
{
return vec<3, T>(v1.x / v2.x,
v1.y / v2.y,
v1.z / v2.z);
}
template <typename T>
inline constexpr vec<3, T> operator/(vec<3, T> const& v1, T const& scalar)
{
return v1 / vec<3, T>(scalar);
}
template <typename T>
inline constexpr T dot(vec<3, T> const& v1, vec<3, T> const& v2)
{
return
v1.x * v2.x +
v1.y * v2.y +
v1.z * v2.z;
}
template <typename T>
inline constexpr vec<3, T> cross(vec<3, T> const& v1, vec<3, T> const& v2)
{
return vec<3, T>(v1.y * v2.z - v2.y * v1.z,
v1.z * v2.x - v2.z * v1.x,
v1.x * v2.y - v2.x * v1.y);
}
template <typename T>
inline constexpr vec<3, T> functor1(T (&func) (T const& x), vec<3, T> const& v)
{
return vec<3, T>(func(v.x), func(v.y), func(v.z));
}
template <typename T, typename U>
inline constexpr vec<3, U> functor1(U (&func) (T const& x), vec<3, T> const& v)
{
return vec<3, U>(func(v.x), func(v.y), func(v.z));
}

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#pragma once
#include "vec.hpp"
//
// vec4
//
template <typename T>
struct vec<4, T>
{
union {
T val[4];
struct { T x, y, z, w; };
struct { T a, r, g, b; };
};
inline constexpr vec();
inline constexpr vec(T scalar);
inline constexpr vec(T _x, T _y, T _z, T _w);
inline constexpr vec(const vec<3, T>& v);
constexpr inline vec<4, T> operator-() const;
inline constexpr T & operator[](int i);
inline constexpr T const& operator[](int i) const;
inline constexpr vec<4, T>& operator=(vec<4, T> const& v);
inline constexpr vec<4, T>& operator+=(vec<4, T> const& v);
inline constexpr vec<4, T>& operator-=(vec<4, T> const& v);
};
template <typename T>
inline constexpr vec<4, T>::vec()
: x(0), y(0), z(0), w(0)
{}
template <typename T>
inline constexpr vec<4, T>::vec(T scalar)
: x(scalar), y(scalar), z(scalar), w(scalar)
{}
template <typename T>
inline constexpr vec<4, T>::vec(T _x, T _y, T _z, T _w)
: x(_x), y(_y), z(_z), w(_w)
{}
template <typename T>
inline constexpr vec<4, T>::vec(const vec<3, T>& v)
: x(v.x), y(v.y), z(v.z), w(1.f)
{}
template <typename T>
constexpr inline vec<4, T> vec<4, T>::operator-() const
{
return vec<4, T>(-x, -y, -z, -w);
}
template <typename T>
inline constexpr T & vec<4, T>::operator[](int i)
{
return val[i];
}
template <typename T>
inline constexpr T const& vec<4, T>::operator[](int i) const
{
return val[i];
}
template <typename T>
inline constexpr vec<4, T>& vec<4, T>::operator=(vec<4, T> const& v)
{
this->x = static_cast<T>(v.x);
this->y = static_cast<T>(v.y);
this->z = static_cast<T>(v.z);
this->w = static_cast<T>(v.w);
return *this;
}
template <typename T>
inline constexpr vec<4, T>& vec<4, T>::operator+=(vec<4, T> const& v)
{
*this = *this + vec<4, T>(v);
return *this;
}
template <typename T>
inline constexpr vec<4, T>& vec<4, T>::operator-=(vec<4, T> const& v)
{
*this = *this - vec<4, T>(v);
return *this;
}
template <typename T>
inline constexpr vec<4, T> operator+(vec<4, T> const& v1, vec<4, T> const& v2)
{
return vec<4, T>(v1.x + v2.x,
v1.y + v2.y,
v1.z + v2.z,
v1.w + v2.w);
}
template <typename T>
inline constexpr vec<4, T> operator-(vec<4, T> const& v1, vec<4, T> const& v2)
{
return vec<4, T>(v1.x - v2.x,
v1.y - v2.y,
v1.z - v2.z,
v1.w - v2.w);
}
template <typename T>
inline constexpr vec<4, T> operator*(vec<4, T> const& v1, vec<4, T> const& v2)
{
return vec<4, T>(v1.x * v2.x,
v1.y * v2.y,
v1.z * v2.z,
v1.w * v2.w);
}
template <typename T>
inline constexpr vec<4, T> operator*(vec<4, T> const& v1, T const& scalar)
{
return v1 * vec<4, T>(scalar);
}
template <typename T>
inline constexpr vec<4, T> operator*(T const& scalar, vec<4, T> const& v1)
{
return vec<4, T>(scalar) * v1;
}
template <typename T>
inline constexpr vec<4, T> operator/(vec<4, T> const& v1, vec<4, T> const& v2)
{
return vec<4, T>(v1.x / v2.x,
v1.y / v2.y,
v1.z / v2.z,
v1.w / v2.w);
}
template <typename T>
inline constexpr vec<4, T> operator/(vec<4, T> const& v1, T const& scalar)
{
return v1 / vec<4, T>(scalar);
}
template <typename T>
inline constexpr T dot(vec<4, T> const& v1, vec<4, T> const& v2)
{
vec<4, T> tmp(v1 * v2);
return tmp.x + tmp.y + tmp.z + tmp.w;
}
template <typename T>
inline constexpr vec<4, T> functor1(T (&func) (T const& x), vec<4, T> const& v)
{
return vec<4, T>(func(v.x), func(v.y), func(v.z), func(v.w));
}
template <typename T, typename U>
inline constexpr vec<4, U> functor1(U (&func) (T const& x), vec<4, T> const& v)
{
return vec<4, U>(func(v.x), func(v.y), func(v.z), func(v.w));
}

808
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#pragma once
const int brick_Cube_triangles[] = {
0, 1, 2,
3, 4, 5,
6, 7, 8,
9, 10, 11,
12, 13, 14,
15, 16, 17,
18, 19, 20,
21, 22, 23,
24, 25, 26,
27, 28, 29,
30, 31, 32,
33, 34, 35,
36, 37, 38,
39, 40, 41,
42, 43, 44,
45, 46, 47,
48, 49, 50,
51, 52, 53,
54, 55, 56,
57, 58, 59,
60, 61, 62,
63, 64, 65,
66, 67, 68,
69, 70, 71,
72, 73, 74,
75, 76, 77,
78, 79, 80,
81, 82, 83,
84, 85, 86,
87, 88, 89,
90, 91, 92,
93, 94, 95,
96, 97, 98,
99, 100, 101,
102, 103, 104,
105, 106, 107,
108, 109, 110,
111, 112, 113,
114, 115, 116,
117, 118, 119,
120, 121, 122,
123, 124, 125,
126, 127, 128,
129, 130, 131,
132, 133, 134,
135, 136, 137,
138, 139, 140,
141, 142, 143,
144, 145, 146,
147, 148, 149,
150, 151, 152,
153, 154, 155,
156, 157, 158,
159, 160, 161,
162, 163, 164,
165, 166, 167,
168, 169, 170,
171, 172, 173,
174, 175, 176,
177, 178, 179,
180, 181, 182,
183, 184, 185,
186, 187, 188,
189, 190, 191,
192, 193, 194,
195, 196, 197,
198, 199, 200,
201, 202, 203,
204, 205, 206,
207, 208, 209,
210, 211, 212,
213, 214, 215,
216, 217, 218,
219, 220, 221,
222, 223, 224,
225, 226, 227,
228, 229, 230,
231, 232, 233,
234, 235, 236,
237, 238, 239,
240, 241, 242,
243, 244, 245,
246, 247, 248,
249, 250, 251,
252, 253, 254,
255, 256, 257,
258, 259, 260,
261, 262, 263,
264, 265, 266,
267, 268, 269,
270, 271, 272,
273, 274, 275,
276, 277, 278,
279, 280, 281,
282, 283, 284,
285, 286, 287,
288, 289, 290,
291, 292, 293,
294, 295, 296,
297, 298, 299,
300, 301, 302,
303, 304, 305,
306, 307, 308,
309, 310, 311,
312, 313, 314,
315, 316, 317,
2, 318, 319,
319, 320, 321,
321, 322, 323,
323, 324, 0,
0, 325, 326,
326, 327, 1,
1, 328, 329,
329, 330, 2,
2, 319, 321,
321, 323, 0,
0, 326, 1,
1, 329, 2,
2, 321, 0,
331, 332, 333,
334, 335, 336,
337, 338, 339,
12, 340, 13,
341, 342, 343,
344, 345, 346,
347, 348, 349,
350, 351, 352,
353, 354, 355,
356, 357, 358,
359, 360, 361,
362, 363, 364,
365, 366, 367,
368, 369, 370,
371, 372, 373,
374, 375, 376,
377, 378, 379,
380, 381, 382,
383, 384, 385,
386, 387, 388,
389, 390, 391,
392, 393, 394,
395, 396, 397,
398, 399, 400,
401, 402, 403,
404, 405, 406,
407, 408, 409,
410, 411, 412,
99, 413, 100,
102, 414, 103,
105, 415, 106,
108, 416, 109,
111, 417, 112,
114, 418, 115,
117, 419, 118,
120, 420, 121,
123, 421, 124,
126, 422, 127,
129, 423, 130,
132, 424, 133,
425, 426, 427,
428, 429, 430,
141, 431, 142,
432, 433, 434,
435, 436, 437,
438, 439, 440,
441, 442, 443,
156, 444, 157,
159, 445, 160,
446, 447, 448,
165, 449, 166,
450, 451, 452,
453, 454, 455,
456, 457, 458,
459, 460, 461,
462, 463, 464,
465, 466, 467,
468, 469, 470,
471, 472, 473,
474, 475, 476,
477, 478, 479,
480, 481, 482,
483, 484, 485,
486, 487, 488,
489, 490, 491,
492, 493, 494,
495, 496, 497,
498, 499, 500,
501, 502, 503,
504, 505, 506,
507, 508, 509,
510, 511, 512,
513, 514, 515,
516, 517, 518,
519, 520, 521,
522, 523, 524,
525, 526, 527,
528, 529, 530,
531, 532, 533,
534, 535, 536,
537, 538, 539,
540, 541, 542,
543, 544, 545,
546, 547, 548,
549, 550, 551,
552, 553, 554,
555, 556, 557,
558, 559, 560,
279, 561, 280,
282, 562, 283,
285, 563, 286,
288, 564, 289,
291, 565, 292,
294, 566, 295,
297, 567, 298,
300, 568, 301,
303, 569, 304,
306, 570, 307,
309, 571, 310,
312, 572, 313,
573, 574, 575,
};
const int brick_Cube_triangles_length = (sizeof (brick_Cube_triangles)) / (sizeof (brick_Cube_triangles[0]));
const float brick_vertices[] = {
-0.817802f, 0.000000f, -0.831219f, 0.044995f, 0.962648f, -0.0000f, -1.0000f, -0.0000f,
0.831219f, 0.000000f, -0.803721f, 0.962429f, 0.947171f, -0.0000f, -1.0000f, -0.0000f,
0.817802f, 0.000000f, 0.831219f, 0.955005f, 0.037352f, -0.0000f, -1.0000f, -0.0000f,
0.653358f, 0.454219f, -0.400308f, 1.000000f, 0.967273f, 0.7923f, 0.5855f, -0.1715f,
0.873530f, 0.050904f, -0.760079f, 1.000000f, 0.947586f, 0.7923f, 0.5855f, -0.1715f,
0.864231f, 0.050306f, -0.805079f, 0.998435f, 0.975457f, 0.7923f, 0.5855f, -0.1715f,
0.625297f, 0.458580f, 0.428311f, 0.977775f, 0.000000f, 0.5441f, 0.7184f, 0.4334f,
0.864231f, 0.050306f, 0.805079f, 0.998435f, 0.024543f, 0.5441f, 0.7184f, 0.4334f,
0.653358f, 0.454219f, 0.400308f, 1.000000f, 0.032727f, 0.5441f, 0.7184f, 0.4334f,
-0.593538f, 0.452916f, -0.447084f, 0.048994f, 1.000000f, -0.2348f, 0.7466f, -0.6225f,
-0.838522f, 0.049848f, -0.838097f, 0.019196f, 0.998032f, -0.2348f, 0.7466f, -0.6225f,
-0.625297f, 0.458580f, -0.428311f, 0.022225f, 1.000000f, -0.2348f, 0.7466f, -0.6225f,
0.573413f, 0.500000f, 0.333413f, 0.947979f, 0.083234f, -0.0000f, 1.0000f, -0.0000f,
-0.573413f, 0.500000f, -0.333413f, 0.052021f, 0.916766f, -0.0000f, 1.0000f, -0.0000f,
-0.573413f, 0.500000f, 0.333413f, 0.052021f, 0.083234f, -0.0000f, 1.0000f, -0.0000f,
0.653358f, 0.454219f, -0.400308f, 1.000000f, 0.967273f, 0.7282f, 0.6745f, -0.1215f,
0.645925f, 0.469791f, -0.358414f, 1.000000f, 0.934301f, 0.7282f, 0.6745f, -0.1215f,
0.670720f, 0.440923f, -0.370061f, 1.000000f, 0.924907f, 0.7282f, 0.6745f, -0.1215f,
0.653358f, 0.454219f, -0.400308f, 1.000000f, 0.967273f, 0.5040f, 0.7407f, -0.4442f,
0.617215f, 0.476518f, -0.404137f, 0.978658f, 1.000000f, 0.5040f, 0.7407f, -0.4442f,
0.635801f, 0.474526f, -0.386369f, 1.000000f, 0.971374f, 0.5040f, 0.7407f, -0.4442f,
0.587151f, 0.475900f, -0.414338f, 0.954276f, 1.000000f, 0.1743f, 0.8216f, -0.5427f,
0.625297f, 0.458580f, -0.428311f, 0.977775f, 1.000000f, 0.1743f, 0.8216f, -0.5427f,
0.593538f, 0.452916f, -0.447084f, 0.951006f, 1.000000f, 0.1743f, 0.8216f, -0.5427f,
0.587151f, 0.475900f, -0.414338f, 0.954276f, 1.000000f, 0.0997f, 0.9314f, -0.3501f,
0.612471f, 0.486997f, -0.377607f, 0.978493f, 0.972008f, 0.0997f, 0.9314f, -0.3501f,
0.617215f, 0.476518f, -0.404137f, 0.978658f, 1.000000f, 0.0997f, 0.9314f, -0.3501f,
0.610465f, 0.491320f, -0.345059f, 0.976926f, 0.931324f, 0.1837f, 0.9729f, -0.1406f,
0.579800f, 0.493098f, -0.372820f, 0.952969f, 0.966026f, 0.1837f, 0.9729f, -0.1406f,
0.573413f, 0.500000f, -0.333413f, 0.947979f, 0.916766f, 0.1837f, 0.9729f, -0.1406f,
0.645925f, 0.469791f, -0.358414f, 1.000000f, 0.934301f, 0.4936f, 0.8655f, -0.0845f,
0.612471f, 0.486997f, -0.377607f, 0.978493f, 0.972008f, 0.4936f, 0.8655f, -0.0845f,
0.610465f, 0.491320f, -0.345059f, 0.976926f, 0.931324f, 0.4936f, 0.8655f, -0.0845f,
0.635801f, 0.474526f, -0.386369f, 1.000000f, 0.971374f, 0.3667f, 0.8858f, -0.2843f,
0.617215f, 0.476518f, -0.404137f, 0.978658f, 1.000000f, 0.3667f, 0.8858f, -0.2843f,
0.612471f, 0.486997f, -0.377607f, 0.978493f, 0.972008f, 0.3667f, 0.8858f, -0.2843f,
-0.645925f, 0.469791f, -0.358414f, 0.000000f, 0.934302f, -0.7282f, 0.6745f, -0.1215f,
-0.653358f, 0.454219f, -0.400308f, 0.000000f, 0.967273f, -0.7282f, 0.6745f, -0.1215f,
-0.670720f, 0.440923f, -0.370061f, 0.000000f, 0.924907f, -0.7282f, 0.6745f, -0.1215f,
-0.645925f, 0.469791f, -0.358414f, 0.000000f, 0.934302f, -0.4658f, 0.8847f, -0.0188f,
-0.612471f, 0.486997f, -0.377607f, 0.021507f, 0.972008f, -0.4658f, 0.8847f, -0.0188f,
-0.635801f, 0.474526f, -0.386368f, 0.000000f, 0.971374f, -0.4658f, 0.8847f, -0.0188f,
-0.579800f, 0.493098f, -0.372820f, 0.047031f, 0.966026f, -0.1837f, 0.9729f, -0.1406f,
-0.610465f, 0.491320f, -0.345059f, 0.023074f, 0.931324f, -0.1837f, 0.9729f, -0.1406f,
-0.573413f, 0.500000f, -0.333413f, 0.052021f, 0.916766f, -0.1837f, 0.9729f, -0.1406f,
-0.587151f, 0.475900f, -0.414338f, 0.045724f, 1.000000f, -0.1197f, 0.9246f, -0.3618f,
-0.612471f, 0.486997f, -0.377607f, 0.021507f, 0.972008f, -0.1197f, 0.9246f, -0.3618f,
-0.579800f, 0.493098f, -0.372820f, 0.047031f, 0.966026f, -0.1197f, 0.9246f, -0.3618f,
-0.625297f, 0.458580f, -0.428311f, 0.022225f, 1.000000f, -0.1743f, 0.8216f, -0.5427f,
-0.587151f, 0.475900f, -0.414338f, 0.045724f, 1.000000f, -0.1743f, 0.8216f, -0.5427f,
-0.593538f, 0.452916f, -0.447084f, 0.048994f, 1.000000f, -0.1743f, 0.8216f, -0.5427f,
-0.653358f, 0.454219f, -0.400308f, 0.000000f, 0.967273f, -0.5124f, 0.7627f, -0.3947f,
-0.617215f, 0.476518f, -0.404137f, 0.021342f, 1.000000f, -0.5124f, 0.7627f, -0.3947f,
-0.625297f, 0.458580f, -0.428311f, 0.022225f, 1.000000f, -0.5124f, 0.7627f, -0.3947f,
-0.635801f, 0.474526f, -0.386368f, 0.000000f, 0.971374f, -0.3667f, 0.8858f, -0.2843f,
-0.612471f, 0.486997f, -0.377607f, 0.021507f, 0.972008f, -0.3667f, 0.8858f, -0.2843f,
-0.617215f, 0.476518f, -0.404137f, 0.021342f, 1.000000f, -0.3667f, 0.8858f, -0.2843f,
0.645925f, 0.469791f, 0.358414f, 1.000000f, 0.065698f, 0.7282f, 0.6745f, 0.1215f,
0.653358f, 0.454219f, 0.400308f, 1.000000f, 0.032727f, 0.7282f, 0.6745f, 0.1215f,
0.670720f, 0.440923f, 0.370061f, 1.000000f, 0.075093f, 0.7282f, 0.6745f, 0.1215f,
0.645925f, 0.469791f, 0.358414f, 1.000000f, 0.065698f, 0.4658f, 0.8847f, 0.0188f,
0.612471f, 0.486997f, 0.377607f, 0.978493f, 0.027992f, 0.4658f, 0.8847f, 0.0188f,
0.635801f, 0.474526f, 0.386368f, 1.000000f, 0.028626f, 0.4658f, 0.8847f, 0.0188f,
0.579800f, 0.493098f, 0.372820f, 0.952969f, 0.033974f, 0.1837f, 0.9729f, 0.1406f,
0.610465f, 0.491320f, 0.345059f, 0.976926f, 0.068676f, 0.1837f, 0.9729f, 0.1406f,
0.573413f, 0.500000f, 0.333413f, 0.947979f, 0.083234f, 0.1837f, 0.9729f, 0.1406f,
0.587151f, 0.475900f, 0.414338f, 0.954276f, 0.000000f, 0.1197f, 0.9246f, 0.3618f,
0.612471f, 0.486997f, 0.377607f, 0.978493f, 0.027992f, 0.1197f, 0.9246f, 0.3618f,
0.579800f, 0.493098f, 0.372820f, 0.952969f, 0.033974f, 0.1197f, 0.9246f, 0.3618f,
0.625297f, 0.458580f, 0.428311f, 0.977775f, 0.000000f, 0.1743f, 0.8216f, 0.5427f,
0.587151f, 0.475900f, 0.414338f, 0.954276f, 0.000000f, 0.1743f, 0.8216f, 0.5427f,
0.593538f, 0.452916f, 0.447084f, 0.951006f, 0.000000f, 0.1743f, 0.8216f, 0.5427f,
0.653358f, 0.454219f, 0.400308f, 1.000000f, 0.032727f, 0.5124f, 0.7627f, 0.3947f,
0.617215f, 0.476518f, 0.404137f, 0.978658f, 0.000000f, 0.5124f, 0.7627f, 0.3947f,
0.625297f, 0.458580f, 0.428311f, 0.977775f, 0.000000f, 0.5124f, 0.7627f, 0.3947f,
0.635801f, 0.474526f, 0.386368f, 1.000000f, 0.028626f, 0.3667f, 0.8858f, 0.2843f,
0.612471f, 0.486997f, 0.377607f, 0.978493f, 0.027992f, 0.3667f, 0.8858f, 0.2843f,
0.617215f, 0.476518f, 0.404137f, 0.978658f, 0.000000f, 0.3667f, 0.8858f, 0.2843f,
-0.587151f, 0.475900f, 0.414338f, 0.045724f, 0.000000f, -0.1743f, 0.8216f, 0.5427f,
-0.625297f, 0.458580f, 0.428311f, 0.022225f, 0.000000f, -0.1743f, 0.8216f, 0.5427f,
-0.593538f, 0.452916f, 0.447084f, 0.048994f, 0.000000f, -0.1743f, 0.8216f, 0.5427f,
-0.587151f, 0.475900f, 0.414338f, 0.045724f, 0.000000f, -0.0997f, 0.9314f, 0.3501f,
-0.612471f, 0.486997f, 0.377607f, 0.021507f, 0.027992f, -0.0997f, 0.9314f, 0.3501f,
-0.617215f, 0.476518f, 0.404137f, 0.021342f, 0.000000f, -0.0997f, 0.9314f, 0.3501f,
-0.610465f, 0.491320f, 0.345059f, 0.023074f, 0.068676f, -0.1837f, 0.9729f, 0.1406f,
-0.579800f, 0.493098f, 0.372820f, 0.047031f, 0.033974f, -0.1837f, 0.9729f, 0.1406f,
-0.573413f, 0.500000f, 0.333413f, 0.052021f, 0.083234f, -0.1837f, 0.9729f, 0.1406f,
-0.645925f, 0.469791f, 0.358414f, 0.000000f, 0.065698f, -0.4936f, 0.8655f, 0.0845f,
-0.612471f, 0.486997f, 0.377607f, 0.021507f, 0.027992f, -0.4936f, 0.8655f, 0.0845f,
-0.610465f, 0.491320f, 0.345059f, 0.023074f, 0.068676f, -0.4936f, 0.8655f, 0.0845f,
-0.653358f, 0.454219f, 0.400308f, 0.000000f, 0.032727f, -0.7282f, 0.6745f, 0.1215f,
-0.645925f, 0.469791f, 0.358414f, 0.000000f, 0.065698f, -0.7282f, 0.6745f, 0.1215f,
-0.670720f, 0.440923f, 0.370061f, 0.000000f, 0.075093f, -0.7282f, 0.6745f, 0.1215f,
-0.653358f, 0.454219f, 0.400308f, 0.000000f, 0.032727f, -0.5040f, 0.7407f, 0.4442f,
-0.617215f, 0.476518f, 0.404137f, 0.021342f, 0.000000f, -0.5040f, 0.7407f, 0.4442f,
-0.635801f, 0.474526f, 0.386369f, 0.000000f, 0.028626f, -0.5040f, 0.7407f, 0.4442f,
-0.617215f, 0.476518f, 0.404137f, 0.021342f, 0.000000f, -0.3667f, 0.8858f, 0.2843f,
-0.612471f, 0.486997f, 0.377607f, 0.021507f, 0.027992f, -0.3667f, 0.8858f, 0.2843f,
-0.635801f, 0.474526f, 0.386369f, 0.000000f, 0.028626f, -0.3667f, 0.8858f, 0.2843f,
0.670720f, 0.440923f, -0.370061f, 1.000000f, 0.924907f, 0.7586f, 0.6516f, -0.0000f,
0.645925f, 0.469791f, 0.358414f, 1.000000f, 0.065698f, 0.7586f, 0.6516f, -0.0000f,
0.670720f, 0.440923f, 0.370061f, 1.000000f, 0.075093f, 0.7586f, 0.6516f, -0.0000f,
0.645925f, 0.469791f, -0.358414f, 1.000000f, 0.934301f, 0.5190f, 0.8548f, -0.0000f,
0.610465f, 0.491320f, 0.345059f, 0.976926f, 0.068676f, 0.5190f, 0.8548f, -0.0000f,
0.645925f, 0.469791f, 0.358414f, 1.000000f, 0.065698f, 0.5190f, 0.8548f, -0.0000f,
0.610465f, 0.491320f, 0.345059f, 0.976926f, 0.068676f, 0.2281f, 0.9736f, -0.0000f,
0.573413f, 0.500000f, -0.333413f, 0.947979f, 0.916766f, 0.2281f, 0.9736f, -0.0000f,
0.573413f, 0.500000f, 0.333413f, 0.947979f, 0.083234f, 0.2281f, 0.9736f, -0.0000f,
0.593538f, 0.452916f, 0.447084f, 0.951006f, 0.000000f, -0.0000f, 0.8185f, 0.5745f,
-0.587151f, 0.475900f, 0.414338f, 0.045724f, 0.000000f, -0.0000f, 0.8185f, 0.5745f,
-0.593538f, 0.452916f, 0.447084f, 0.048994f, 0.000000f, -0.0000f, 0.8185f, 0.5745f,
-0.587151f, 0.475900f, 0.414338f, 0.045724f, 0.000000f, -0.0000f, 0.9239f, 0.3827f,
0.579800f, 0.493098f, 0.372820f, 0.952969f, 0.033974f, -0.0000f, 0.9239f, 0.3827f,
-0.579800f, 0.493098f, 0.372820f, 0.047031f, 0.033974f, -0.0000f, 0.9239f, 0.3827f,
0.579800f, 0.493098f, 0.372820f, 0.952969f, 0.033974f, -0.0000f, 0.9850f, 0.1725f,
-0.573413f, 0.500000f, 0.333413f, 0.052021f, 0.083234f, -0.0000f, 0.9850f, 0.1725f,
-0.579800f, 0.493098f, 0.372820f, 0.047031f, 0.033974f, -0.0000f, 0.9850f, 0.1725f,
-0.670720f, 0.440923f, 0.370061f, 0.000000f, 0.075093f, -0.7586f, 0.6516f, -0.0000f,
-0.645925f, 0.469791f, -0.358414f, 0.000000f, 0.934302f, -0.7586f, 0.6516f, -0.0000f,
-0.670720f, 0.440923f, -0.370061f, 0.000000f, 0.924907f, -0.7586f, 0.6516f, -0.0000f,
-0.645925f, 0.469791f, 0.358414f, 0.000000f, 0.065698f, -0.5190f, 0.8548f, -0.0000f,
-0.610465f, 0.491320f, -0.345059f, 0.023074f, 0.931324f, -0.5190f, 0.8548f, -0.0000f,
-0.645925f, 0.469791f, -0.358414f, 0.000000f, 0.934302f, -0.5190f, 0.8548f, -0.0000f,
-0.610465f, 0.491320f, -0.345059f, 0.023074f, 0.931324f, -0.2281f, 0.9736f, -0.0000f,
-0.573413f, 0.500000f, 0.333413f, 0.052021f, 0.083234f, -0.2281f, 0.9736f, -0.0000f,
-0.573413f, 0.500000f, -0.333413f, 0.052021f, 0.916766f, -0.2281f, 0.9736f, -0.0000f,
-0.593538f, 0.452916f, -0.447084f, 0.048994f, 1.000000f, -0.0000f, 0.8185f, -0.5745f,
0.587151f, 0.475900f, -0.414338f, 0.954276f, 1.000000f, -0.0000f, 0.8185f, -0.5745f,
0.593538f, 0.452916f, -0.447084f, 0.951006f, 1.000000f, -0.0000f, 0.8185f, -0.5745f,
0.587151f, 0.475900f, -0.414338f, 0.954276f, 1.000000f, -0.0000f, 0.9239f, -0.3827f,
-0.579800f, 0.493098f, -0.372820f, 0.047031f, 0.966026f, -0.0000f, 0.9239f, -0.3827f,
0.579800f, 0.493098f, -0.372820f, 0.952969f, 0.966026f, -0.0000f, 0.9239f, -0.3827f,
-0.579800f, 0.493098f, -0.372820f, 0.047031f, 0.966026f, -0.0000f, 0.9850f, -0.1725f,
0.573413f, 0.500000f, -0.333413f, 0.947979f, 0.916766f, -0.0000f, 0.9850f, -0.1725f,
0.579800f, 0.493098f, -0.372820f, 0.952969f, 0.966026f, -0.0000f, 0.9850f, -0.1725f,
-0.864231f, 0.050306f, 0.805079f, 0.001565f, 0.024543f, -0.5441f, 0.7184f, 0.4334f,
-0.625297f, 0.458580f, 0.428311f, 0.022225f, 0.000000f, -0.5441f, 0.7184f, 0.4334f,
-0.653358f, 0.454219f, 0.400308f, 0.000000f, 0.032727f, -0.5441f, 0.7184f, 0.4334f,
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0.838522f, 0.049848f, 0.838097f, 0.980804f, 0.001968f, 0.2154f, 0.7442f, 0.6322f,
-0.625297f, 0.458580f, -0.428311f, 0.022225f, 1.000000f, -0.5440f, 0.7184f, -0.4335f,
-0.838522f, 0.049848f, -0.838097f, 0.019196f, 0.998032f, -0.5440f, 0.7184f, -0.4335f,
-0.864231f, 0.050306f, -0.805079f, 0.001565f, 0.975457f, -0.5440f, 0.7184f, -0.4335f,
0.653358f, 0.454219f, 0.400308f, 1.000000f, 0.032727f, 0.7923f, 0.5855f, 0.1715f,
0.864231f, 0.050306f, 0.805079f, 0.998435f, 0.024543f, 0.7923f, 0.5855f, 0.1715f,
0.873530f, 0.050904f, 0.760079f, 1.000000f, 0.052414f, 0.7923f, 0.5855f, 0.1715f,
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0.593538f, 0.452916f, -0.447084f, 0.951006f, 1.000000f, -0.0000f, 0.7071f, -0.7071f,
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-0.873530f, 0.050904f, -0.760079f, 0.000000f, 0.947586f, -0.7923f, 0.5855f, -0.1715f,
0.873530f, 0.050904f, 0.760079f, 1.000000f, 0.052414f, 0.8872f, 0.4614f, -0.0000f,
0.625297f, 0.458580f, -0.428311f, 0.977775f, 1.000000f, 0.5441f, 0.7184f, -0.4334f,
0.653358f, 0.454219f, -0.400308f, 1.000000f, 0.967273f, 0.5441f, 0.7184f, -0.4334f,
0.864231f, 0.050306f, -0.805079f, 0.998435f, 0.975457f, 0.5441f, 0.7184f, -0.4334f,
-0.831219f, 0.000000f, 0.803721f, 0.037571f, 0.052829f, -0.2175f, -0.9749f, 0.0465f,
-0.826613f, -0.000000f, 0.825289f, 0.040011f, 0.040618f, -0.2175f, -0.9749f, 0.0465f,
-0.855035f, 0.006740f, 0.833636f, 0.023691f, 0.035704f, -0.2175f, -0.9749f, 0.0465f,
-0.862063f, 0.006820f, 0.800532f, 0.020471f, 0.054779f, -0.8208f, -0.5443f, 0.1730f,
-0.855035f, 0.006740f, 0.833636f, 0.023691f, 0.035704f, -0.8208f, -0.5443f, 0.1730f,
-0.868805f, 0.025153f, 0.826239f, 0.002578f, 0.022467f, -0.8208f, -0.5443f, 0.1730f,
-0.877550f, 0.025452f, 0.784558f, 0.000085f, 0.048821f, -0.9225f, 0.3326f, 0.1959f,
-0.868805f, 0.025153f, 0.826239f, 0.002578f, 0.022467f, -0.9225f, 0.3326f, 0.1959f,
-0.864231f, 0.050306f, 0.805079f, 0.001565f, 0.024543f, -0.9225f, 0.3326f, 0.1959f,
-0.826613f, -0.000000f, 0.825289f, 0.040011f, 0.040618f, -0.1846f, -0.9717f, 0.1471f,
-0.823382f, -0.000000f, 0.829343f, 0.041831f, 0.038350f, -0.1846f, -0.9717f, 0.1471f,
-0.840471f, 0.006678f, 0.852013f, 0.032047f, 0.025150f, -0.1846f, -0.9717f, 0.1471f,
-0.855035f, 0.006740f, 0.833636f, 0.023691f, 0.035704f, -0.7409f, -0.3280f, 0.5861f,
-0.840471f, 0.006678f, 0.852013f, 0.032047f, 0.025150f, -0.7409f, -0.3280f, 0.5861f,
-0.846012f, 0.024924f, 0.855217f, 0.019436f, 0.002175f, -0.7409f, -0.3280f, 0.5861f,
-0.868805f, 0.025153f, 0.826239f, 0.002578f, 0.022467f, -0.6532f, 0.5522f, 0.5181f,
-0.846012f, 0.024924f, 0.855217f, 0.019436f, 0.002175f, -0.6532f, 0.5522f, 0.5181f,
-0.838522f, 0.049848f, 0.838097f, 0.019196f, 0.001968f, -0.6532f, 0.5522f, 0.5181f,
-0.823382f, -0.000000f, 0.829343f, 0.041831f, 0.038350f, -0.0764f, -0.9708f, 0.2273f,
-0.817802f, -0.000000f, 0.831219f, 0.044995f, 0.037352f, -0.0764f, -0.9708f, 0.2273f,
-0.819963f, 0.006663f, 0.858947f, 0.043890f, 0.021812f, -0.0764f, -0.9708f, 0.2273f,
-0.819963f, 0.006663f, 0.858947f, 0.043890f, 0.021812f, -0.3121f, -0.2585f, 0.9142f,
-0.814616f, 0.024866f, 0.865919f, 0.039098f, 0.000065f, -0.3121f, -0.2585f, 0.9142f,
-0.846012f, 0.024924f, 0.855217f, 0.019436f, 0.002175f, -0.3121f, -0.2585f, 0.9142f,
-0.814616f, 0.024866f, 0.865919f, 0.039098f, 0.000065f, -0.2595f, 0.5970f, 0.7591f,
-0.803194f, 0.049732f, 0.850268f, 0.040466f, 0.000000f, -0.2595f, 0.5970f, 0.7591f,
-0.838522f, 0.049848f, 0.838097f, 0.019196f, 0.001968f, -0.2595f, 0.5970f, 0.7591f,
0.823382f, 0.000000f, 0.829343f, 0.958169f, 0.038350f, 0.0776f, -0.9707f, 0.2274f,
0.840471f, 0.006678f, 0.852013f, 0.967953f, 0.025150f, 0.0776f, -0.9707f, 0.2274f,
0.819963f, 0.006663f, 0.858947f, 0.956110f, 0.021812f, 0.0776f, -0.9707f, 0.2274f,
0.819963f, 0.006663f, 0.858947f, 0.956110f, 0.021812f, 0.3099f, -0.2550f, 0.9159f,
0.840471f, 0.006678f, 0.852013f, 0.967953f, 0.025150f, 0.3099f, -0.2550f, 0.9159f,
0.846012f, 0.024924f, 0.855217f, 0.980564f, 0.002175f, 0.3099f, -0.2550f, 0.9159f,
0.814616f, 0.024866f, 0.865919f, 0.960902f, 0.000065f, 0.2575f, 0.5985f, 0.7586f,
0.846012f, 0.024924f, 0.855217f, 0.980564f, 0.002175f, 0.2575f, 0.5985f, 0.7586f,
0.838522f, 0.049848f, 0.838097f, 0.980804f, 0.001968f, 0.2575f, 0.5985f, 0.7586f,
0.826613f, 0.000000f, 0.825289f, 0.959989f, 0.040618f, 0.1876f, -0.9714f, 0.1455f,
0.855035f, 0.006740f, 0.833636f, 0.976309f, 0.035704f, 0.1876f, -0.9714f, 0.1455f,
0.840471f, 0.006678f, 0.852013f, 0.967953f, 0.025150f, 0.1876f, -0.9714f, 0.1455f,
0.855035f, 0.006740f, 0.833636f, 0.976309f, 0.035704f, 0.7452f, -0.3228f, 0.5835f,
0.868805f, 0.025153f, 0.826239f, 0.997422f, 0.022467f, 0.7452f, -0.3228f, 0.5835f,
0.846012f, 0.024924f, 0.855217f, 0.980564f, 0.002175f, 0.7452f, -0.3228f, 0.5835f,
0.868805f, 0.025153f, 0.826239f, 0.997422f, 0.022467f, 0.6535f, 0.5533f, 0.5165f,
0.864231f, 0.050306f, 0.805079f, 0.998435f, 0.024543f, 0.6535f, 0.5533f, 0.5165f,
0.838522f, 0.049848f, 0.838097f, 0.980804f, 0.001968f, 0.6535f, 0.5533f, 0.5165f,
0.831219f, -0.000000f, 0.803721f, 0.962429f, 0.052829f, 0.2201f, -0.9745f, 0.0444f,
0.862063f, 0.006820f, 0.800532f, 0.979529f, 0.054779f, 0.2201f, -0.9745f, 0.0444f,
0.855035f, 0.006740f, 0.833636f, 0.976309f, 0.035704f, 0.2201f, -0.9745f, 0.0444f,
0.862063f, 0.006820f, 0.800532f, 0.979529f, 0.054779f, 0.8244f, -0.5402f, 0.1691f,
0.877550f, 0.025452f, 0.784558f, 0.999915f, 0.048821f, 0.8244f, -0.5402f, 0.1691f,
0.868805f, 0.025153f, 0.826239f, 0.997422f, 0.022467f, 0.8244f, -0.5402f, 0.1691f,
0.877550f, 0.025452f, 0.784558f, 0.999915f, 0.048821f, 0.9224f, 0.3333f, 0.1950f,
0.873530f, 0.050904f, 0.760079f, 1.000000f, 0.052414f, 0.9224f, 0.3333f, 0.1950f,
0.864231f, 0.050306f, 0.805079f, 0.998435f, 0.024543f, 0.9224f, 0.3333f, 0.1950f,
-0.823382f, 0.000000f, -0.829343f, 0.041831f, 0.961650f, -0.0776f, -0.9707f, -0.2274f,
-0.840471f, 0.006678f, -0.852013f, 0.032047f, 0.974849f, -0.0776f, -0.9707f, -0.2274f,
-0.819963f, 0.006663f, -0.858947f, 0.043890f, 0.978188f, -0.0776f, -0.9707f, -0.2274f,
-0.819963f, 0.006663f, -0.858947f, 0.043890f, 0.978188f, -0.3099f, -0.2550f, -0.9159f,
-0.840471f, 0.006678f, -0.852013f, 0.032047f, 0.974849f, -0.3099f, -0.2550f, -0.9159f,
-0.846012f, 0.024924f, -0.855217f, 0.019436f, 0.997825f, -0.3099f, -0.2550f, -0.9159f,
-0.814616f, 0.024866f, -0.865919f, 0.039098f, 0.999935f, -0.2575f, 0.5985f, -0.7586f,
-0.846012f, 0.024924f, -0.855217f, 0.019436f, 0.997825f, -0.2575f, 0.5985f, -0.7586f,
-0.838522f, 0.049848f, -0.838097f, 0.019196f, 0.998032f, -0.2575f, 0.5985f, -0.7586f,
-0.826613f, 0.000000f, -0.825289f, 0.040011f, 0.959383f, -0.1876f, -0.9714f, -0.1455f,
-0.855035f, 0.006740f, -0.833636f, 0.023691f, 0.964296f, -0.1876f, -0.9714f, -0.1455f,
-0.840471f, 0.006678f, -0.852013f, 0.032047f, 0.974849f, -0.1876f, -0.9714f, -0.1455f,
-0.855035f, 0.006740f, -0.833636f, 0.023691f, 0.964296f, -0.7452f, -0.3228f, -0.5835f,
-0.868805f, 0.025153f, -0.826239f, 0.002578f, 0.977533f, -0.7452f, -0.3228f, -0.5835f,
-0.846012f, 0.024924f, -0.855217f, 0.019436f, 0.997825f, -0.7452f, -0.3228f, -0.5835f,
-0.868805f, 0.025153f, -0.826239f, 0.002578f, 0.977533f, -0.6535f, 0.5533f, -0.5165f,
-0.864231f, 0.050306f, -0.805079f, 0.001565f, 0.975457f, -0.6535f, 0.5533f, -0.5165f,
-0.838522f, 0.049848f, -0.838097f, 0.019196f, 0.998032f, -0.6535f, 0.5533f, -0.5165f,
-0.831219f, -0.000000f, -0.803721f, 0.037571f, 0.947172f, -0.2201f, -0.9745f, -0.0444f,
-0.862063f, 0.006820f, -0.800532f, 0.020471f, 0.945221f, -0.2201f, -0.9745f, -0.0444f,
-0.855035f, 0.006740f, -0.833636f, 0.023691f, 0.964296f, -0.2201f, -0.9745f, -0.0444f,
-0.862063f, 0.006820f, -0.800532f, 0.020471f, 0.945221f, -0.8244f, -0.5402f, -0.1691f,
-0.877550f, 0.025452f, -0.784558f, 0.000085f, 0.951179f, -0.8244f, -0.5402f, -0.1691f,
-0.868805f, 0.025153f, -0.826239f, 0.002578f, 0.977533f, -0.8244f, -0.5402f, -0.1691f,
-0.877550f, 0.025452f, -0.784558f, 0.000085f, 0.951179f, -0.9224f, 0.3333f, -0.1950f,
-0.873530f, 0.050904f, -0.760079f, 0.000000f, 0.947586f, -0.9224f, 0.3333f, -0.1950f,
-0.864231f, 0.050306f, -0.805079f, 0.001565f, 0.975457f, -0.9224f, 0.3333f, -0.1950f,
0.823382f, -0.000000f, -0.829343f, 0.958169f, 0.961650f, 0.0764f, -0.9708f, -0.2273f,
0.817802f, -0.000000f, -0.831219f, 0.955005f, 0.962648f, 0.0764f, -0.9708f, -0.2273f,
0.819963f, 0.006663f, -0.858947f, 0.956110f, 0.978188f, 0.0764f, -0.9708f, -0.2273f,
0.819963f, 0.006663f, -0.858947f, 0.956110f, 0.978188f, 0.3121f, -0.2585f, -0.9142f,
0.814616f, 0.024866f, -0.865919f, 0.960902f, 0.999935f, 0.3121f, -0.2585f, -0.9142f,
0.846012f, 0.024924f, -0.855217f, 0.980564f, 0.997825f, 0.3121f, -0.2585f, -0.9142f,
0.814616f, 0.024866f, -0.865919f, 0.960902f, 0.999935f, 0.2595f, 0.5970f, -0.7591f,
0.803194f, 0.049732f, -0.850268f, 0.959534f, 1.000000f, 0.2595f, 0.5970f, -0.7591f,
0.838522f, 0.049848f, -0.838097f, 0.980804f, 0.998032f, 0.2595f, 0.5970f, -0.7591f,
0.826613f, -0.000000f, -0.825289f, 0.959989f, 0.959382f, 0.1846f, -0.9717f, -0.1471f,
0.823382f, -0.000000f, -0.829343f, 0.958169f, 0.961650f, 0.1846f, -0.9717f, -0.1471f,
0.840471f, 0.006678f, -0.852013f, 0.967953f, 0.974850f, 0.1846f, -0.9717f, -0.1471f,
0.855035f, 0.006740f, -0.833636f, 0.976309f, 0.964296f, 0.7409f, -0.3280f, -0.5861f,
0.840471f, 0.006678f, -0.852013f, 0.967953f, 0.974850f, 0.7409f, -0.3280f, -0.5861f,
0.846012f, 0.024924f, -0.855217f, 0.980564f, 0.997825f, 0.7409f, -0.3280f, -0.5861f,
0.868805f, 0.025153f, -0.826239f, 0.997422f, 0.977533f, 0.6532f, 0.5522f, -0.5181f,
0.846012f, 0.024924f, -0.855217f, 0.980564f, 0.997825f, 0.6532f, 0.5522f, -0.5181f,
0.838522f, 0.049848f, -0.838097f, 0.980804f, 0.998032f, 0.6532f, 0.5522f, -0.5181f,
0.831219f, 0.000000f, -0.803721f, 0.962429f, 0.947171f, 0.2175f, -0.9749f, -0.0465f,
0.826613f, -0.000000f, -0.825289f, 0.959989f, 0.959382f, 0.2175f, -0.9749f, -0.0465f,
0.855035f, 0.006740f, -0.833636f, 0.976309f, 0.964296f, 0.2175f, -0.9749f, -0.0465f,
0.862063f, 0.006820f, -0.800532f, 0.979529f, 0.945221f, 0.8208f, -0.5443f, -0.1730f,
0.855035f, 0.006740f, -0.833636f, 0.976309f, 0.964296f, 0.8208f, -0.5443f, -0.1730f,
0.868805f, 0.025153f, -0.826239f, 0.997422f, 0.977533f, 0.8208f, -0.5443f, -0.1730f,
0.877550f, 0.025452f, -0.784558f, 0.999915f, 0.951179f, 0.9225f, 0.3326f, -0.1959f,
0.868805f, 0.025153f, -0.826239f, 0.997422f, 0.977533f, 0.9225f, 0.3326f, -0.1959f,
0.864231f, 0.050306f, -0.805079f, 0.998435f, 0.975457f, 0.9225f, 0.3326f, -0.1959f,
0.862063f, 0.006820f, -0.800532f, 0.979529f, 0.945221f, 0.2159f, -0.9764f, -0.0000f,
0.877550f, 0.025452f, -0.784558f, 0.999915f, 0.951179f, 0.7690f, -0.6392f, -0.0000f,
0.873530f, 0.050904f, -0.760079f, 1.000000f, 0.947586f, 0.9878f, 0.1560f, -0.0000f,
-0.819963f, 0.006663f, -0.858947f, 0.043890f, 0.978188f, -0.0000f, -0.9723f, -0.2336f,
-0.814616f, 0.024866f, -0.865919f, 0.039098f, 0.999935f, -0.0000f, -0.3577f, -0.9338f,
-0.803194f, 0.049732f, -0.850268f, 0.040466f, 1.000000f, -0.0000f, 0.5327f, -0.8463f,
-0.862063f, 0.006820f, 0.800532f, 0.020471f, 0.054779f, -0.2159f, -0.9764f, -0.0000f,
-0.877550f, 0.025452f, 0.784558f, 0.000085f, 0.048821f, -0.7690f, -0.6392f, -0.0000f,
-0.873530f, 0.050904f, 0.760079f, 0.000000f, 0.052414f, -0.9878f, 0.1560f, -0.0000f,
0.819963f, 0.006663f, 0.858947f, 0.956110f, 0.021812f, -0.0000f, -0.9723f, 0.2336f,
0.814616f, 0.024866f, 0.865919f, 0.960902f, 0.000065f, -0.0000f, -0.3577f, 0.9338f,
0.803194f, 0.049732f, 0.850268f, 0.959534f, 0.000000f, -0.0000f, 0.5327f, 0.8463f,
0.593538f, 0.452916f, -0.447084f, 0.951006f, 1.000000f, 0.2348f, 0.7466f, -0.6225f,
0.625297f, 0.458580f, -0.428311f, 0.977775f, 1.000000f, 0.2348f, 0.7466f, -0.6225f,
0.838522f, 0.049848f, -0.838097f, 0.980804f, 0.998032f, 0.2348f, 0.7466f, -0.6225f,
};
const int brick_vertices_length = (sizeof (brick_vertices)) / (sizeof (brick_vertices[0]));

637
include/model/brick.obj Normal file
View File

@ -0,0 +1,637 @@
# Blender 4.4.3
# www.blender.org
mtllib brick.mtl
o Cube
v 0.670720 0.440923 -0.370061
v 0.593538 0.452916 -0.447084
v 0.573413 0.500000 -0.333413
v 0.653358 0.454219 -0.400308
v 0.645925 0.469791 -0.358414
v 0.635801 0.474526 -0.386369
v 0.587151 0.475900 -0.414338
v 0.625297 0.458580 -0.428311
v 0.617215 0.476518 -0.404137
v 0.610465 0.491320 -0.345059
v 0.579800 0.493098 -0.372820
v 0.612471 0.486997 -0.377607
v -0.670720 0.440923 -0.370061
v -0.573413 0.500000 -0.333413
v -0.593538 0.452916 -0.447084
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19
include/render.hpp Normal file
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@ -0,0 +1,19 @@
#pragma once
#ifdef __cplusplus
extern "C" {
#endif
typedef unsigned int uint;
void render(uint vtx, uint idx,
uint attrib_position,
uint attrib_normal,
uint uniform_trans,
uint uniform_normal_trans,
uint uniform_base_color,
uint uniform_light_pos,
int length);
#ifdef __cplusplus
}
#endif

4
include/shader/vertex_color.fp.glsl.h
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@ -10,8 +10,8 @@ extern uint32_t _binary_src_shader_vertex_color_fp_glsl_start __asm("_binary_src
extern uint32_t _binary_src_shader_vertex_color_fp_glsl_end __asm("_binary_src_shader_vertex_color_fp_glsl_end"); extern uint32_t _binary_src_shader_vertex_color_fp_glsl_end __asm("_binary_src_shader_vertex_color_fp_glsl_end");
extern uint32_t _binary_src_shader_vertex_color_fp_glsl_size __asm("_binary_src_shader_vertex_color_fp_glsl_size"); extern uint32_t _binary_src_shader_vertex_color_fp_glsl_size __asm("_binary_src_shader_vertex_color_fp_glsl_size");
#define src_shader_vertex_color_fp_glsl_start ((void *)&_binary_src_shader_vertex_color_fp_glsl_start) #define src_shader_vertex_color_fp_glsl_start ((const char *)&_binary_src_shader_vertex_color_fp_glsl_start)
#define src_shader_vertex_color_fp_glsl_end ((void *)&_binary_src_shader_vertex_color_fp_glsl_end) #define src_shader_vertex_color_fp_glsl_end ((const char *)&_binary_src_shader_vertex_color_fp_glsl_end)
#define src_shader_vertex_color_fp_glsl_size (src_shader_vertex_color_fp_glsl_end - src_shader_vertex_color_fp_glsl_start) #define src_shader_vertex_color_fp_glsl_size (src_shader_vertex_color_fp_glsl_end - src_shader_vertex_color_fp_glsl_start)
#ifdef __cplusplus #ifdef __cplusplus

4
include/shader/vertex_color.vp.glsl.h
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@ -10,8 +10,8 @@ extern uint32_t _binary_src_shader_vertex_color_vp_glsl_start __asm("_binary_src
extern uint32_t _binary_src_shader_vertex_color_vp_glsl_end __asm("_binary_src_shader_vertex_color_vp_glsl_end"); extern uint32_t _binary_src_shader_vertex_color_vp_glsl_end __asm("_binary_src_shader_vertex_color_vp_glsl_end");
extern uint32_t _binary_src_shader_vertex_color_vp_glsl_size __asm("_binary_src_shader_vertex_color_vp_glsl_size"); extern uint32_t _binary_src_shader_vertex_color_vp_glsl_size __asm("_binary_src_shader_vertex_color_vp_glsl_size");
#define src_shader_vertex_color_vp_glsl_start ((void *)&_binary_src_shader_vertex_color_vp_glsl_start) #define src_shader_vertex_color_vp_glsl_start ((const char *)&_binary_src_shader_vertex_color_vp_glsl_start)
#define src_shader_vertex_color_vp_glsl_end ((void *)&_binary_src_shader_vertex_color_vp_glsl_end) #define src_shader_vertex_color_vp_glsl_end ((const char *)&_binary_src_shader_vertex_color_vp_glsl_end)
#define src_shader_vertex_color_vp_glsl_size (src_shader_vertex_color_vp_glsl_end - src_shader_vertex_color_vp_glsl_start) #define src_shader_vertex_color_vp_glsl_size (src_shader_vertex_color_vp_glsl_end - src_shader_vertex_color_vp_glsl_start)
#ifdef __cplusplus #ifdef __cplusplus

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src/level/level1.data Normal file
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src/level/level1.data.pal Normal file
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61
src/main.c
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@ -9,11 +9,12 @@
#include "shader/vertex_color.vp.glsl.h" #include "shader/vertex_color.vp.glsl.h"
#include "opengl.h" #include "opengl.h"
#include "render.hpp"
static int vp_width = 800; #include "model/brick.h"
static int vp_height = 600;
typedef unsigned int uint; static int vp_width = 1200;
static int vp_height = 1200;
void framebuffer_size_callback(GLFWwindow* window, int width, int height) void framebuffer_size_callback(GLFWwindow* window, int width, int height)
{ {
@ -64,27 +65,31 @@ int main()
// buffer initialization // buffer initialization
////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////
/*
uint triangle_vertex_buffer = make_buffer(GL_ARRAY_BUFFER, uint triangle_vertex_buffer = make_buffer(GL_ARRAY_BUFFER,
triangle_vertex_buffer_data, triangle_vertex_buffer_data,
(sizeof (triangle_vertex_buffer_data))); (sizeof (triangle_vertex_buffer_data)));
*/
uint vertex_color_program = compile_shader(src_shader_vertex_color_vp_glsl_start, uint vtx = make_buffer(GL_ARRAY_BUFFER, brick_vertices, (sizeof (brick_vertices)));
uint idx = make_buffer(GL_ELEMENT_ARRAY_BUFFER, brick_Cube_triangles, (sizeof (brick_Cube_triangles)));
uint program = compile_shader(src_shader_vertex_color_vp_glsl_start,
src_shader_vertex_color_vp_glsl_size, src_shader_vertex_color_vp_glsl_size,
src_shader_vertex_color_fp_glsl_start, src_shader_vertex_color_fp_glsl_start,
src_shader_vertex_color_fp_glsl_size); src_shader_vertex_color_fp_glsl_size);
glUseProgram(vertex_color_program); glUseProgram(program);
uint vertex_color_attrib_position = glGetAttribLocation(vertex_color_program, "position"); uint attrib_position = glGetAttribLocation(program, "position");
uint vertex_color_attrib_color = glGetAttribLocation(vertex_color_program, "color"); uint attrib_normal = glGetAttribLocation(program, "normal");
uint uniform_trans = glGetUniformLocation(program, "trans");
uint uniform_normal_trans = glGetUniformLocation(program, "normal_trans");
uint uniform_base_color = glGetUniformLocation(program, "base_color");
uint uniform_light_pos = glGetUniformLocation(program, "light_pos");
////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////
// main loop // main loop
////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////
fwrite(src_shader_vertex_color_fp_glsl_start,
src_shader_vertex_color_fp_glsl_size,
1,
stdout);
const double frame_rate = 60.0; const double frame_rate = 60.0;
const double first_frame = glfwGetTime(); const double first_frame = glfwGetTime();
double last_frame = first_frame; double last_frame = first_frame;
@ -93,26 +98,20 @@ int main()
if(glfwGetKey(window, GLFW_KEY_ESCAPE) == GLFW_PRESS) if(glfwGetKey(window, GLFW_KEY_ESCAPE) == GLFW_PRESS)
glfwSetWindowShouldClose(window, true); glfwSetWindowShouldClose(window, true);
glBindBuffer(GL_ARRAY_BUFFER, triangle_vertex_buffer); glEnable(GL_DEPTH_TEST);
glVertexAttribPointer(vertex_color_attrib_position, glClearDepth(-1000.0f);
3, glDepthFunc(GL_GREATER);
GL_FLOAT, glClearColor(0.1, 0.2, 0.3, 1.0);
GL_FALSE,
(sizeof (float)) * 6,
(void*)0
);
glVertexAttribPointer(vertex_color_attrib_color,
3,
GL_FLOAT,
GL_FALSE,
(sizeof (float)) * 6,
(void*)(3 * 4)
);
glEnableVertexAttribArray(vertex_color_attrib_position);
glEnableVertexAttribArray(vertex_color_attrib_color);
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT); glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
glDrawArrays(GL_TRIANGLES, 0, 3);
render(vtx, idx,
attrib_position,
attrib_normal,
uniform_trans,
uniform_normal_trans,
uniform_base_color,
uniform_light_pos,
brick_Cube_triangles_length);
glfwSwapBuffers(window); glfwSwapBuffers(window);
glfwPollEvents(); glfwPollEvents();

7
src/model.cpp Normal file
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@ -0,0 +1,7 @@
#include "model/brick.h"
void brick_model()
{
make_buffer(GL_ARRAY_BUFFER, brick_vertices, (sizeof (brick_vertices)));
make_buffer(GL_ELEMENT_ARRAY_BUFFER, brick_Cube_triangles, (sizeof (brick_Cube_triangles)));
}

144
src/render.cpp Normal file
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@ -0,0 +1,144 @@
#include <math.h>
#include <stdio.h>
#include <assert.h>
#include "glad/glad.h"
#include "render.hpp"
#include "math/float_types.hpp"
#include "math/transform.hpp"
#include "level/level1.data.h"
#include "level/level1.data.pal.h"
#define PI 3.14159274101257324219f
mat4x4 perspective(float low1, float high1,
float low2, float high2)
{
float scale = (high2 - low2) / (high1 - low1);
mat4x4 m1 = mat4x4(1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, -low1,
0, 0, 0, 1
);
mat4x4 m2 = mat4x4(1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 0, 1,
0, 0, scale, low2
);
mat4x4 m3 = m2 * m1;
/*
mat4x4 m3 = mat4x4(1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 0, 1,
0, 0, 1, 0
);
*/
if (0) {
for (int i = 0; i < 4; i++) {
printf("% 2.3f % 2.3f % 2.3f % 2.3f \n", m3[i][0], m3[i][1], m3[i][2], m3[i][3]);
}
vec4 v = vec4(5, 6, 0.5, 1);
vec4 vv = m3 * v;
printf("\n% 2.3f % 2.3f % 2.3f % 2.3f \n", vv[0], vv[1], vv[2], vv[3]);
exit(1);
}
return m3;
}
/*
levels are 13x28
*/
void render(uint vtx, uint idx,
uint attrib_position,
uint attrib_normal,
uint uniform_trans,
uint uniform_normal_trans,
uint uniform_base_color,
uint uniform_light_pos,
int length)
{
static float theta = 0;
theta += 0.01;
glBindBuffer(GL_ARRAY_BUFFER, vtx);
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, idx);
glVertexAttribPointer(attrib_position,
3,
GL_FLOAT,
GL_FALSE,
(sizeof (float)) * 8,
(void*)(0 * 4)
);
/*
glVertexAttribPointer(vertex_color_attrib_texture,
2,
GL_FLOAT,
GL_FALSE,
(sizeof (float)) * 8,
(void*)(3 * 4)
);
*/
glVertexAttribPointer(attrib_normal,
3,
GL_FLOAT,
GL_FALSE,
(sizeof (float)) * 8,
(void*)(5 * 4)
);
glEnableVertexAttribArray(attrib_position);
glEnableVertexAttribArray(attrib_normal);
assert(src_level_level1_data_size == 13 * 28);
const uint8_t * level = (const uint8_t *)src_level_level1_data_start;
const uint8_t * pal = (const uint8_t *)src_level_level1_data_pal_start;
for (int y = 0; y < 28; y++) {
for (int x = 0; x < 13; x++) {
char tile = level[y * 13 + x];
if (tile == 0)
continue;
const float cs = 1.0f / 255.0f;
vec3 base_color = vec3(((float)pal[tile * 3 + 0]) * cs,
((float)pal[tile * 3 + 1]) * cs,
((float)pal[tile * 3 + 2]) * cs);
mat4x4 rx = rotate_x(PI / 2.0f);
//mat4x4 p = perspective(-1, 1, 0, 1);
mat4x4 s = scale(vec3(1.0f / 12.0f,
1.0f / 27.0f,
1.0f / 27.0f));
float px = ((float)x / 13.0) * 2.0 - 1.0 + 1.0f / 13.0f;
float py = ((float)y / 28.0) * -2.0 + 1.0 - 1.0f / 28.0f;
mat4x4 t = translate(vec3(px, py, 0.0));
mat4x4 trans = t * rx * s;
//mat3x3 normal_trans = transpose(inverse(submatrix(trans, 0, 0)));
mat3x3 normal_trans = submatrix(rx, 3, 3);
vec3 light_pos = normalize(rotate_z(theta) * vec3(1, 1, 1));
glUniform4fv(uniform_trans, 4, &trans[0][0]);
glUniform3fv(uniform_normal_trans, 3, &normal_trans[0][0]);
glUniform3fv(uniform_base_color, 1, &base_color[0]);
glUniform3fv(uniform_light_pos, 1, &light_pos[0]);
//glDrawArrays(GL_TRIANGLES, 0, 3);
glDrawElements(GL_TRIANGLES, length, GL_UNSIGNED_INT, 0);
}
}
}

20
src/shader/vertex_color.fp.glsl
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@ -1,8 +1,24 @@
#version 120 #version 120
//varying vec3 color_out; uniform vec3 base_color;
uniform vec3 light_pos;
varying vec3 fp_position;
varying vec3 fp_normal;
void main() void main()
{ {
gl_FragColor = gl_Color; //vec3 color_normal = fp_normal * 0.5 + 0.5;
//vec3 light_pos = vec3(1, 1, 1);
vec3 light_dir = normalize(light_pos - fp_position);
float diffuse = max(dot(fp_normal, light_dir), 0.0);
vec3 color = (diffuse + 0.5) * base_color;
gl_FragColor = vec4(color, 1.0);
} }
// normal
// x (0.0 left 1.0 right)
// y (0.0 bot 1.0 top)
// z (0.0 far 1.0 near)

31
src/shader/vertex_color.vp.glsl
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@ -1,10 +1,35 @@
#version 120 #version 120
attribute vec3 position; attribute vec3 position;
attribute vec3 color; attribute vec3 normal;
uniform vec4 trans[4];
uniform vec3 normal_trans[3];
varying vec3 fp_normal;
varying vec3 fp_position;
vec4 transform4(vec4 v)
{
return vec4(dot(trans[0], v),
dot(trans[1], v),
dot(trans[2], v),
dot(trans[3], v));
}
vec3 transform3(vec3 v)
{
return vec3(dot(normal_trans[0], v),
dot(normal_trans[1], v),
dot(normal_trans[2], v));
}
void main() void main()
{ {
gl_Position = vec4(position, 1); vec4 pos = transform4(vec4(position, 1));
gl_FrontColor = vec4(color, 1);
fp_normal = normalize(transform3(normal));
fp_position = pos.xyz;
gl_Position = pos;
} }