366 lines
7.6 KiB
C
366 lines
7.6 KiB
C
#include <math.h>
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#ifndef M_E
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#define M_E 2.7182818284590452354
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#endif
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#ifndef M_PI
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#define M_PI 3.14159265358979323846
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#endif
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#include <errno.h>
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/*
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* template for tinypy math functions
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* with one parameter.
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*
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* @cfunc is the coresponding function name in C
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* math library.
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*/
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#define TP_MATH_FUNC1(cfunc) \
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static tp_obj math_##cfunc(TP) { \
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double x = TP_NUM(); \
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double r = 0.0; \
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\
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errno = 0; \
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r = cfunc(x); \
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if (errno == EDOM || errno == ERANGE) { \
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tp_raise(tp_None, "%s(x): x=%f, " \
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"out of range", __func__, x); \
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} \
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\
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return (tp_number(r)); \
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}
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/*
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* template for tinypy math functions
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* with two parameters.
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*
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* @cfunc is the coresponding function name in C
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* math library.
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*/
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#define TP_MATH_FUNC2(cfunc) \
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static tp_obj math_##cfunc(TP) { \
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double x = TP_NUM(); \
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double y = TP_NUM(); \
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double r = 0.0; \
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\
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errno = 0; \
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r = cfunc(x, y); \
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if (errno == EDOM || errno == ERANGE) { \
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tp_raise(tp_None, "%s(x, y): x=%f,y=%f " \
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"out of range", __func__, x, y);\
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} \
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\
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return (tp_number(r)); \
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}
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/*
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* PI definition: 3.1415926535897931
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*/
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static tp_obj math_pi;
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/*
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* E definition: 2.7182818284590451
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*/
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static tp_obj math_e;
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/*
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* acos(x)
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*
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* return arc cosine of x, return value is measured in radians.
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* if x falls out -1 to 1, raise out-of-range exception.
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*/
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TP_MATH_FUNC1(acos)
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/*
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* asin(x)
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*
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* return arc sine of x, measured in radians, actually [-PI/2, PI/2]
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* if x falls out of -1 to 1, raise out-of-range exception
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*/
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TP_MATH_FUNC1(asin)
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/*
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* atan(x)
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*
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* return arc tangent of x, measured in radians,
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*/
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TP_MATH_FUNC1(atan)
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/*
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* atan2(x, y)
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*
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* return arc tangent of x/y, measured in radians.
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* unlike atan(x/y), both the signs of x and y
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* are considered to determine the quaderant of
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* the result.
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*/
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TP_MATH_FUNC2(atan2)
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/*
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* ceil(x)
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*
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* return the ceiling of x, i.e, the smallest
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* integer >= x.
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*/
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TP_MATH_FUNC1(ceil)
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/*
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* cos(x)
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*
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* return cosine of x. x is measured in radians.
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*/
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TP_MATH_FUNC1(cos)
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/*
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* cosh(x)
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*
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* return hyperbolic cosine of x.
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*/
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TP_MATH_FUNC1(cosh)
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/*
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* degrees(x)
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*
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* converts angle x from radians to degrees.
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* NOTE: this function is introduced by python,
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* so we cannot wrap it directly in TP_MATH_FUNC1(),
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* here the solution is defining a new
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* C function - degrees().
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*/
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static const double degToRad =
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3.141592653589793238462643383 / 180.0;
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static double degrees(double x)
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{
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return (x / degToRad);
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}
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TP_MATH_FUNC1(degrees)
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/*
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* exp(x)
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*
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* return the value e raised to power of x.
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* e is the base of natural logarithms.
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*/
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TP_MATH_FUNC1(exp)
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/*
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* fabs(x)
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*
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* return the absolute value of x.
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*/
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TP_MATH_FUNC1(fabs)
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/*
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* floor(x)
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*
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* return the floor of x, i.e, the largest integer <= x
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*/
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TP_MATH_FUNC1(floor)
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/*
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* fmod(x, y)
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*
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* return the remainder of dividing x by y. that is,
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* return x - n * y, where n is the quotient of x/y.
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* NOTE: this function relies on the underlying platform.
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*/
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TP_MATH_FUNC2(fmod)
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/*
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* frexp(x)
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*
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* return a pair (r, y), which satisfies:
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* x = r * (2 ** y), and r is normalized fraction
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* which is laid between 1/2 <= abs(r) < 1.
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* if x = 0, the (r, y) = (0, 0).
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*/
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static tp_obj math_frexp(TP) {
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double x = TP_NUM();
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int y = 0;
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double r = 0.0;
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tp_obj rList = tp_list(tp);
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errno = 0;
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r = frexp(x, &y);
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if (errno == EDOM || errno == ERANGE) {
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tp_raise(tp_None, "%s(x): x=%f, "
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"out of range", __func__, x);
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}
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_tp_list_append(tp, rList.list.val, tp_number(r));
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_tp_list_append(tp, rList.list.val, tp_number((tp_num)y));
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return (rList);
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}
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/*
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* hypot(x, y)
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*
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* return Euclidean distance, namely,
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* sqrt(x*x + y*y)
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*/
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TP_MATH_FUNC2(hypot)
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/*
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* ldexp(x, y)
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*
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* return the result of multiplying x by 2
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* raised to y.
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*/
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TP_MATH_FUNC2(ldexp)
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/*
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* log(x, [base])
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*
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* return logarithm of x to given base. If base is
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* not given, return the natural logarithm of x.
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* Note: common logarithm(log10) is used to compute
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* the denominator and numerator. based on fomula:
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* log(x, base) = log10(x) / log10(base).
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*/
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static tp_obj math_log(TP) {
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double x = TP_NUM();
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tp_obj b = TP_DEFAULT(tp_None);
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double y = 0.0;
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double den = 0.0; /* denominator */
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double num = 0.0; /* numinator */
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double r = 0.0; /* result */
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if (b.type == TP_NONE)
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y = M_E;
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else if (b.type == TP_NUMBER)
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y = (double)b.number.val;
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else
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tp_raise(tp_None, "%s(x, [base]): base invalid", __func__);
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errno = 0;
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num = log10(x);
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if (errno == EDOM || errno == ERANGE)
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goto excep;
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errno = 0;
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den = log10(y);
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if (errno == EDOM || errno == ERANGE)
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goto excep;
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r = num / den;
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return (tp_number(r));
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excep:
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tp_raise(tp_None, "%s(x, y): x=%f,y=%f "
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"out of range", __func__, x, y);
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}
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/*
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* log10(x)
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*
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* return 10-based logarithm of x.
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*/
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TP_MATH_FUNC1(log10)
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/*
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* modf(x)
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*
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* return a pair (r, y). r is the integral part of
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* x and y is the fractional part of x, both holds
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* the same sign as x.
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*/
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static tp_obj math_modf(TP) {
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double x = TP_NUM();
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double y = 0.0;
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double r = 0.0;
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tp_obj rList = tp_list(tp);
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errno = 0;
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r = modf(x, &y);
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if (errno == EDOM || errno == ERANGE) {
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tp_raise(tp_None, "%s(x): x=%f, "
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"out of range", __func__, x);
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}
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_tp_list_append(tp, rList.list.val, tp_number(r));
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_tp_list_append(tp, rList.list.val, tp_number(y));
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return (rList);
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}
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/*
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* pow(x, y)
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*
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* return value of x raised to y. equivalence of x ** y.
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* NOTE: conventionally, tp_pow() is the implementation
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* of builtin function pow(); whilst, math_pow() is an
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* alternative in math module.
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*/
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static tp_obj math_pow(TP) {
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double x = TP_NUM();
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double y = TP_NUM();
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double r = 0.0;
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errno = 0;
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r = pow(x, y);
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if (errno == EDOM || errno == ERANGE) {
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tp_raise(tp_None, "%s(x, y): x=%f,y=%f "
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"out of range", __func__, x, y);
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}
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return (tp_number(r));
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}
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/*
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* radians(x)
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*
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* converts angle x from degrees to radians.
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* NOTE: this function is introduced by python,
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* adopt same solution as degrees(x).
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*/
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static double radians(double x)
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{
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return (x * degToRad);
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}
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TP_MATH_FUNC1(radians)
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/*
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* sin(x)
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*
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* return sine of x, x is measured in radians.
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*/
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TP_MATH_FUNC1(sin)
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/*
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* sinh(x)
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*
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* return hyperbolic sine of x.
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* mathematically, sinh(x) = (exp(x) - exp(-x)) / 2.
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*/
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TP_MATH_FUNC1(sinh)
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/*
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* sqrt(x)
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*
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* return square root of x.
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* if x is negtive, raise out-of-range exception.
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*/
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TP_MATH_FUNC1(sqrt)
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/*
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* tan(x)
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*
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* return tangent of x, x is measured in radians.
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*/
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TP_MATH_FUNC1(tan)
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/*
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* tanh(x)
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*
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* return hyperbolic tangent of x.
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* mathematically, tanh(x) = sinh(x) / cosh(x).
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*/
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TP_MATH_FUNC1(tanh)
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