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#pragma once
// -----------------------------------------------------------------------
// basic macros
#define math·abs(x) (((x) > 0) ? (x) : (-(x)))
#define math·sgn(x) (((x) > 0) ? (+1) : (((x) == 0) ? (0) : (-1) ))
// -----------------------------------------------------------------------
// elementary functions
double math·acos(double);
float math·acosf(float);
double math·acosh(double);
float math·acoshf(float);
double math·asin(double);
float math·asinf(float);
double math·asinh(double);
float math·asinhf(float);
double math·atan(double);
float math·atanf(float);
double math·atan2(double, double);
float math·atan2f(float, float);
double math·atanh(double);
float math·atanhf(float);
double math·cbrt(double);
float math·cbrtf(float);
double math·ceil(double);
float math·ceilf(float);
double math·cos(double);
float math·cosf(float);
double math·cosh(double);
float math·coshf(float);
double math·erf(double);
float math·erff(float);
double math·erfc(double);
float math·erfcf(float);
double math·exp(double);
float math·expf(float);
double math·exp2(double);
float math·exp2f(float);
double math·expm1(double);
float math·expm1f(float);
double math·floor(double);
float math·floorf(float);
int math·ilogb(double);
int math·ilogbf(float);
double math·lgamma(double);
float math·lgammaf(float);
long long math·llrint(double);
long long math·llrintf(float);
long long math·llround(double);
long long math·llroundf(float);
double math·log(double);
float math·logf(float);
double math·log10(double);
float math·log10f(float);
double math·log1p(double);
float math·log1pf(float);
double math·log2(double);
float math·log2f(float);
double math·logb(double);
float math·logbf(float);
long math·lrint(double);
long math·lrintf(float);
long math·lround(double);
long math·lroundf(float);
double math·nan(const char *);
float math·nanf(const char *);
double math·nearbyint(double);
float math·nearbyintf(float);
double math·pow(double, double);
float math·powf(float, float);
double math·rint(double);
float math·rintf(float);
double math·round(double);
float math·roundf(float);
double math·sin(double);
float math·sinf(float);
double math·sinh(double);
float math·sinhf(float);
double math·sqrt(double);
float math·sqrtf(float);
double math·tan(double);
float math·tanf(float);
double math·tanh(double);
float math·tanhf(float);
double math·tgamma(double);
float math·tgammaf(float);
double math·trunc(double);
float math·truncf(float);
// -----------------------------------------------------------------------
// basic linear algebra compute kernels
// TODO: think of better names
enum
{
blas·LowerTri = 1u,
blas·Transpose = 2u,
blas·ConjTranspose = 4u,
blas·DiagOnes = 8u,
blas·LeftSide = 16u,
};
typedef uint32 blas·Flag;
/* level 1 */
void blas·rot(int len, double *x, int incx, double *y, int incy, double cos, double sin);
void blas·rotg(double *a, double *b, double *cos, double *sin);
error blas·rotm(int len, double *x, int incx, double *y, int incy, double p[5]);
void blas·scale(int len, double a, double *x, int inc);
void blas·copy(int len, double *x, int incx, double *y, int incy);
void blas·swap(int len, double *x, int incx, double *y, int incy);
void blas·axpy(int len, double a, double *x, int incx, double *y, int incy);
double blas·dot(int len, double *x, int incx, double *y, int incy);
double blas·norm(int len, double *x, int inc);
double blas·sum(int len, double *x, int inc);
int blas·argmax(int len, double *x, int inc);
int blas·argmin(int len, double *x, int inc);
/* level 2 */
void blas·tpmv(blas·Flag f, int n, double *m, double *x);
void blas·tpsv(blas·Flag f, int n, double *m, double *x);
error blas·gemv(int nrow, int ncol, double a, double *m, double *x, double b, double *y) ;
void blas·ger(int nrow, int ncol, double a, double *x, double *y, double *m);
void blas·her(int n, double a, double *x, double *m);
void blas·syr(int nrow, int ncol, double a, double *x, double *m);
/* level 3 */
void blas·gemm(int n1, int n2, int n3, double a, double *m1, double *m2, double b, double *m3);
void blas·trmm(blas·Flag f, int nrow, int ncol, double a, double *m1, double *m2);
void blas·trsm(blas·Flag f, int nrow, int ncol, double a, double *m1, double *m2);
// -----------------------------------------------------------------------
// higher level linear algebra
typedef struct math·Vector
{
double *data;
int len;
} math·Vector;
#define math·slicev(vec, lo, hi) (struct math·Vector){.len=((hi)-(lo)), .data=((vec).data + (lo))}
typedef struct math·Matrix
{
double *data;
blas·Flag kind;
int dim[2];
} math·Matrix;
// TODO: tensor ala numpy
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