pocketpy/src/linalg.cpp

#include "pocketpy/linalg.h"

namespace pkpy{

#define BIND_VEC_ADDR(D)   \
        vm->bind_method<0>(type, "addr", [](VM* vm, ArgsView args){         \
            PyVec##D& self = _CAST(PyVec##D&, args[0]);                     \
            return VAR_T(VoidP, &self.x);                                   \
        });

#define BIND_VEC_VEC_OP(D, name, op)                                        \
        vm->bind_method<1>(type, #name, [](VM* vm, ArgsView args){          \
            PyVec##D& self = _CAST(PyVec##D&, args[0]);                     \
            PyVec##D& other = CAST(PyVec##D&, args[1]);                     \
            return VAR(self op other);                                      \
        });

#define BIND_VEC_FLOAT_OP(D, name, op)  \
        vm->bind_method<1>(type, #name, [](VM* vm, ArgsView args){          \
            PyVec##D& self = _CAST(PyVec##D&, args[0]);                     \
            f64 other = CAST(f64, args[1]);                                 \
            return VAR(self op other);                                      \
        });

#define BIND_VEC_FUNCTION_0(D, name)        \
        vm->bind_method<0>(type, #name, [](VM* vm, ArgsView args){          \
            PyVec##D& self = _CAST(PyVec##D&, args[0]);                     \
            return VAR(self.name());                                        \
        });

#define BIND_VEC_FUNCTION_1(D, name)        \
        vm->bind_method<0>(type, #name, [](VM* vm, ArgsView args){          \
            PyVec##D& self = _CAST(PyVec##D&, args[0]);                     \
            PyVec##D& other = CAST(PyVec##D&, args[1]);                     \
            return VAR(self.name(other));                                   \
        });

#define BIND_VEC_FIELD(D, name)  \
        vm->bind_property(type, #name,                                      \
        [](VM* vm, ArgsView args){                                          \
            PyVec##D& self = _CAST(PyVec##D&, args[0]);                     \
            return VAR(self.name);                                          \
        }, [](VM* vm, ArgsView args){                                       \
            PyVec##D& self = _CAST(PyVec##D&, args[0]);                     \
            self.name = CAST(f64, args[1]);                                 \
            return vm->None;                                                \
        });


    void PyVec2::_register(VM* vm, PyObject* mod, PyObject* type){
        vm->bind_constructor<3>(type, [](VM* vm, ArgsView args){
            float x = CAST_F(args[1]);
            float y = CAST_F(args[2]);
            return VAR(Vec2(x, y));
        });

        vm->bind_method<0>(type, "__getnewargs__", [](VM* vm, ArgsView args){
            PyVec2& self = _CAST(PyVec2&, args[0]);
            return VAR(Tuple({ VAR(self.x), VAR(self.y) }));
        });

        vm->bind__repr__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* obj){
            PyVec2& self = _CAST(PyVec2&, obj);
            std::stringstream ss;
            ss << "vec2(" << self.x << ", " << self.y << ")";
            return VAR(ss.str());
        });

        vm->bind_method<0>(type, "copy", [](VM* vm, ArgsView args){
            PyVec2& self = _CAST(PyVec2&, args[0]);
            return VAR_T(PyVec2, self);
        });

        vm->bind_method<1>(type, "rotate", [](VM* vm, ArgsView args){
            Vec2 self = _CAST(PyVec2&, args[0]);
            float radian = CAST(f64, args[1]);
            float cr = cosf(radian);
            float sr = sinf(radian);
            Mat3x3 rotate(cr,   -sr,  0.0f,
                          sr,   cr,   0.0f,
                          0.0f, 0.0f, 1.0f);
            self = rotate.transform_vector(self);
            return VAR(self);
        });

        BIND_VEC_ADDR(2)
        BIND_VEC_VEC_OP(2, __add__, +)
        BIND_VEC_VEC_OP(2, __sub__, -)
        BIND_VEC_FLOAT_OP(2, __mul__, *)
        BIND_VEC_FLOAT_OP(2, __rmul__, *)
        BIND_VEC_FLOAT_OP(2, __truediv__, /)
        BIND_VEC_VEC_OP(2, __eq__, ==)
        BIND_VEC_FIELD(2, x)
        BIND_VEC_FIELD(2, y)
        BIND_VEC_FUNCTION_1(2, dot)
        BIND_VEC_FUNCTION_1(2, cross)
        BIND_VEC_FUNCTION_0(2, length)
        BIND_VEC_FUNCTION_0(2, length_squared)
        BIND_VEC_FUNCTION_0(2, normalize)
    }

    void PyVec3::_register(VM* vm, PyObject* mod, PyObject* type){
        vm->bind_constructor<4>(type, [](VM* vm, ArgsView args){
            float x = CAST_F(args[1]);
            float y = CAST_F(args[2]);
            float z = CAST_F(args[3]);
            return VAR(Vec3(x, y, z));
        });

        vm->bind_method<0>(type, "__getnewargs__", [](VM* vm, ArgsView args){
            PyVec3& self = _CAST(PyVec3&, args[0]);
            return VAR(Tuple({ VAR(self.x), VAR(self.y), VAR(self.z) }));
        });

        vm->bind__repr__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* obj){
            PyVec3& self = _CAST(PyVec3&, obj);
            std::stringstream ss;
            ss << "vec3(" << self.x << ", " << self.y << ", " << self.z << ")";
            return VAR(ss.str());
        });

        vm->bind_method<0>(type, "copy", [](VM* vm, ArgsView args){
            PyVec3& self = _CAST(PyVec3&, args[0]);
            return VAR_T(PyVec3, self);
        });

        BIND_VEC_ADDR(3)
        BIND_VEC_VEC_OP(3, __add__, +)
        BIND_VEC_VEC_OP(3, __sub__, -)
        BIND_VEC_FLOAT_OP(3, __mul__, *)
        BIND_VEC_FLOAT_OP(3, __rmul__, *)
        BIND_VEC_FLOAT_OP(3, __truediv__, /)
        BIND_VEC_VEC_OP(3, __eq__, ==)
        BIND_VEC_FIELD(3, x)
        BIND_VEC_FIELD(3, y)
        BIND_VEC_FIELD(3, z)
        BIND_VEC_FUNCTION_1(3, dot)
        BIND_VEC_FUNCTION_1(3, cross)
        BIND_VEC_FUNCTION_0(3, length)
        BIND_VEC_FUNCTION_0(3, length_squared)
        BIND_VEC_FUNCTION_0(3, normalize)
    }

    void PyVec4::_register(VM* vm, PyObject* mod, PyObject* type){
        vm->bind_constructor<1+4>(type, [](VM* vm, ArgsView args){
            float x = CAST_F(args[1]);
            float y = CAST_F(args[2]);
            float z = CAST_F(args[3]);
            float w = CAST_F(args[4]);
            return VAR(Vec4(x, y, z, w));
        });

        vm->bind_method<0>(type, "__getnewargs__", [](VM* vm, ArgsView args){
            PyVec4& self = _CAST(PyVec4&, args[0]);
            return VAR(Tuple({ VAR(self.x), VAR(self.y), VAR(self.z), VAR(self.w) }));
        });

        vm->bind__repr__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* obj){
            PyVec4& self = _CAST(PyVec4&, obj);
            std::stringstream ss;
            ss << "vec4(" << self.x << ", " << self.y << ", " << self.z << ", " << self.w << ")";
            return VAR(ss.str());
        });

        vm->bind_method<0>(type, "copy", [](VM* vm, ArgsView args){
            PyVec4& self = _CAST(PyVec4&, args[0]);
            return VAR_T(PyVec4, self);
        });

        BIND_VEC_ADDR(4)
        BIND_VEC_VEC_OP(4, __add__, +)
        BIND_VEC_VEC_OP(4, __sub__, -)
        BIND_VEC_FLOAT_OP(4, __mul__, *)
        BIND_VEC_FLOAT_OP(4, __rmul__, *)
        BIND_VEC_FLOAT_OP(4, __truediv__, /)
        BIND_VEC_VEC_OP(4, __eq__, ==)
        BIND_VEC_FIELD(4, x)
        BIND_VEC_FIELD(4, y)
        BIND_VEC_FIELD(4, z)
        BIND_VEC_FIELD(4, w)
        BIND_VEC_FUNCTION_1(4, dot)
        BIND_VEC_FUNCTION_0(4, length)
        BIND_VEC_FUNCTION_0(4, length_squared)
        BIND_VEC_FUNCTION_0(4, normalize)
    }

#undef BIND_VEC_ADDR
#undef BIND_VEC_VEC_OP
#undef BIND_VEC_FLOAT_OP
#undef BIND_VEC_FIELD
#undef BIND_VEC_FUNCTION_0
#undef BIND_VEC_FUNCTION_1

    void PyMat3x3::_register(VM* vm, PyObject* mod, PyObject* type){
        vm->bind_constructor<-1>(type, [](VM* vm, ArgsView args){
            if(args.size() == 1+0) return VAR_T(PyMat3x3, Mat3x3::zeros());
            if(args.size() == 1+9){
                Mat3x3 mat;
                for(int i=0; i<9; i++) mat.v[i] = CAST_F(args[1+i]);
                return VAR_T(PyMat3x3, mat);
            }
            if(args.size() == 1+1){
                List& a = CAST(List&, args[1]);
                if(a.size() != 3) vm->ValueError("Mat3x3.__new__ takes 3x3 list");
                Mat3x3 mat;
                for(int i=0; i<3; i++){
                    List& b = CAST(List&, a[i]);
                    if(b.size() != 3) vm->ValueError("Mat3x3.__new__ takes 3x3 list");
                    for(int j=0; j<3; j++){
                        mat.m[i][j] = CAST_F(b[j]);
                    }
                }
                return VAR_T(PyMat3x3, mat);
            }
            vm->TypeError("Mat3x3.__new__ takes 0 or 1 arguments");
            return vm->None;
        });

        vm->bind_method<0>(type, "__getnewargs__", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            Tuple t(9);
            for(int i=0; i<9; i++) t[i] = VAR(self.v[i]);
            return VAR(std::move(t));
        });

#define METHOD_PROXY_NONE(name)  \
        vm->bind_method<0>(type, #name, [](VM* vm, ArgsView args){    \
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);               \
            self.name();                                              \
            return vm->None;                                          \
        });

        METHOD_PROXY_NONE(set_zeros)
        METHOD_PROXY_NONE(set_ones)
        METHOD_PROXY_NONE(set_identity)

#undef METHOD_PROXY_NONE

        vm->bind__repr__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* obj){
            PyMat3x3& self = _CAST(PyMat3x3&, obj);
            std::stringstream ss;
            ss << std::fixed << std::setprecision(4);
            ss << "mat3x3([[" << self._11 << ", " << self._12 << ", " << self._13 << "],\n";
            ss << "        [" << self._21 << ", " << self._22 << ", " << self._23 << "],\n";
            ss << "        [" << self._31 << ", " << self._32 << ", " << self._33 << "]])";
            return VAR(ss.str());
        });

        vm->bind_method<0>(type, "copy", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            return VAR_T(PyMat3x3, self);
        });

        vm->bind__getitem__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* obj, PyObject* index){
            PyMat3x3& self = _CAST(PyMat3x3&, obj);
            Tuple& t = CAST(Tuple&, index);
            if(t.size() != 2){
                vm->TypeError("Mat3x3.__getitem__ takes a tuple of 2 integers");
                return vm->None;
            }
            i64 i = CAST(i64, t[0]);
            i64 j = CAST(i64, t[1]);
            if(i < 0 || i >= 3 || j < 0 || j >= 3){
                vm->IndexError("index out of range");
                return vm->None;
            }
            return VAR(self.m[i][j]);
        });

        vm->bind__setitem__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* obj, PyObject* index, PyObject* value){
            PyMat3x3& self = _CAST(PyMat3x3&, obj);
            Tuple& t = CAST(Tuple&, index);
            if(t.size() != 2){
                vm->TypeError("Mat3x3.__setitem__ takes a tuple of 2 integers");
                return;
            }
            i64 i = CAST(i64, t[0]);
            i64 j = CAST(i64, t[1]);
            if(i < 0 || i >= 3 || j < 0 || j >= 3){
                vm->IndexError("index out of range");
                return;
            }
            self.m[i][j] = CAST_F(value);
        });

#define PROPERTY_FIELD(field) \
        vm->bind_property(type, #field ": float", \
        [](VM* vm, ArgsView args){      \
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);                     \
            return VAR(self.field);                                         \
        }, [](VM* vm, ArgsView args){                                       \
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);                     \
            self.field = CAST(f64, args[1]);                                \
            return vm->None;                                                \
        });

        PROPERTY_FIELD(_11)
        PROPERTY_FIELD(_12)
        PROPERTY_FIELD(_13)
        PROPERTY_FIELD(_21)
        PROPERTY_FIELD(_22)
        PROPERTY_FIELD(_23)
        PROPERTY_FIELD(_31)
        PROPERTY_FIELD(_32)
        PROPERTY_FIELD(_33)

#undef PROPERTY_FIELD

        vm->bind__add__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* _0, PyObject* _1){
            PyMat3x3& self = _CAST(PyMat3x3&, _0);
            PyMat3x3& other = CAST(PyMat3x3&, _1);
            return VAR_T(PyMat3x3, self + other);
        });

        vm->bind__sub__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* _0, PyObject* _1){
            PyMat3x3& self = _CAST(PyMat3x3&, _0);
            PyMat3x3& other = CAST(PyMat3x3&, _1);
            return VAR_T(PyMat3x3, self - other);
        });

        vm->bind__mul__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* _0, PyObject* _1){
            PyMat3x3& self = _CAST(PyMat3x3&, _0);
            f64 other = CAST_F(_1);
            return VAR_T(PyMat3x3, self * other);
        });

        vm->bind_method<1>(type, "__rmul__", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            f64 other = CAST_F(args[1]);
            return VAR_T(PyMat3x3, self * other);
        });

        vm->bind__truediv__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* _0, PyObject* _1){
            PyMat3x3& self = _CAST(PyMat3x3&, _0);
            f64 other = CAST_F(_1);
            return VAR_T(PyMat3x3, self / other);
        });

        vm->bind__matmul__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* _0, PyObject* _1){
            PyMat3x3& self = _CAST(PyMat3x3&, _0);
            if(is_non_tagged_type(_1, PyMat3x3::_type(vm))){
                PyMat3x3& other = _CAST(PyMat3x3&, _1);
                return VAR_T(PyMat3x3, self.matmul(other));
            }
            if(is_non_tagged_type(_1, PyVec3::_type(vm))){
                PyVec3& other = _CAST(PyVec3&, _1);
                return VAR_T(PyVec3, self.matmul(other));
            }
            return vm->NotImplemented;
        });

        vm->bind__eq__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* _0, PyObject* _1){
            PyMat3x3& self = _CAST(PyMat3x3&, _0);
            if(is_non_tagged_type(_1, PyMat3x3::_type(vm))){
                PyMat3x3& other = _CAST(PyMat3x3&, _1);
                return VAR(self == other);
            }
            return vm->NotImplemented;
        });

        vm->bind_method<0>(type, "determinant", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            return VAR(self.determinant());
        });

        vm->bind_method<0>(type, "transpose", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            return VAR_T(PyMat3x3, self.transpose());
        });

        vm->bind__invert__(PK_OBJ_GET(Type, type), [](VM* vm, PyObject* obj){
            PyMat3x3& self = _CAST(PyMat3x3&, obj);
            Mat3x3 ret;
            bool ok = self.inverse(ret);
            if(!ok) vm->ValueError("matrix is not invertible");
            return VAR_T(PyMat3x3, ret);
        });

        vm->bind_func<0>(type, "zeros", [](VM* vm, ArgsView args){
            PK_UNUSED(args);
            return VAR_T(PyMat3x3, Mat3x3::zeros());
        });

        vm->bind_func<0>(type, "ones", [](VM* vm, ArgsView args){
            PK_UNUSED(args);
            return VAR_T(PyMat3x3, Mat3x3::ones());
        });

        vm->bind_func<0>(type, "identity", [](VM* vm, ArgsView args){
            PK_UNUSED(args);
            return VAR_T(PyMat3x3, Mat3x3::identity());
        });

        /*************** affine transformations ***************/
        vm->bind_func<3>(type, "trs", [](VM* vm, ArgsView args){
            PyVec2& t = CAST(PyVec2&, args[0]);
            f64 r = CAST_F(args[1]);
            PyVec2& s = CAST(PyVec2&, args[2]);
            return VAR_T(PyMat3x3, Mat3x3::trs(t, r, s));
        });

        vm->bind_method<0>(type, "is_affine", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            return VAR(self.is_affine());
        });

        vm->bind_method<0>(type, "translation", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            return VAR_T(PyVec2, self.translation());
        });

        vm->bind_method<0>(type, "rotation", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            return VAR(self.rotation());
        });

        vm->bind_method<0>(type, "scale", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            return VAR_T(PyVec2, self.scale());
        });

        vm->bind_method<1>(type, "transform_point", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            PyVec2& v = CAST(PyVec2&, args[1]);
            return VAR_T(PyVec2, self.transform_point(v));
        });

        vm->bind_method<1>(type, "transform_vector", [](VM* vm, ArgsView args){
            PyMat3x3& self = _CAST(PyMat3x3&, args[0]);
            PyVec2& v = CAST(PyVec2&, args[1]);
            return VAR_T(PyVec2, self.transform_vector(v));
        });
    }

}   // namespace pkpy