char
_doshift(
floatnum dest,
cfloatnum x,
cfloatnum shift,
char right)
{
int ishift;
t_longint lx;
if (float_isnan(shift))
return _seterror(dest, NoOperand);
if (!float_isinteger(shift))
return _seterror(dest, OutOfDomain);
if(!_cvtlogic(&lx, x))
return 0;
if (float_iszero(shift))
{
float_copy(dest, x, EXACT);
return 1;
}
ishift = float_asinteger(shift);
if (ishift == 0)
ishift = (3*LOGICRANGE) * float_getsign(shift);
if (!right)
ishift = -ishift;
if (ishift > 0)
_shr(&lx, ishift);
else
_shl(&lx, -ishift);
_logic2floatnum(dest, &lx);
return 1;
}
char
float_cosminus1(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (!_trigreduce(x, digits))
return _seterror(x, EvalUnstable);
return _cosminus1(x, digits)? 1 : _seterror(x, Underflow);
}
char
float_power10(
floatnum x,
int digits)
{
signed char sign;
if (!chckmathparam(x, digits))
return 0;
sign = float_getsign(x);
if (_power10(x, digits))
return 1;
return sign > 0? _seterror(x, Overflow) : _seterror(x, Underflow);
}
char
_lngamma(
floatnum x,
int digits)
{
floatstruct factor;
int infinity;
char result;
if (float_cmp(x, &c1) == 0 || float_cmp(x, &c2) == 0)
return _setzero(x);
float_create(&factor);
result = _lngamma_prim(x, &factor, &infinity, digits)
&& infinity == 0;
if (result)
{
float_abs(&factor);
_ln(&factor, digits + 1);
result = float_sub(x, x, &factor, digits+1);
}
float_free(&factor);
if (infinity != 0)
return _seterror(x, ZeroDivide);
if (!result)
float_setnan(x);
return result;
}
char
float_coshminus1(
floatnum x,
int digits)
{
int expx;
if (!chckmathparam(x, digits))
return 0;
expx = float_getexponent(x);
if (_coshminus1(x, digits))
return 1;
if (expx < 0)
return _seterror(x, Underflow);
return _seterror(x, Overflow);
}
char
_gamma(
floatnum x,
int digits)
{
floatstruct tmp;
int infinity;
char result;
if (float_cmp(&cMinus20, x) > 0)
{
float_create(&tmp);
result = _lngamma_prim(x, &tmp, &infinity, digits)
&& infinity == 0
&& _exp(x, digits)
&& float_div(x, x, &tmp, digits + 1);
float_free(&tmp);
if (infinity != 0)
return _seterror(x, ZeroDivide);
if (!result)
float_setnan(x);
return result;
}
return _gammagtminus20(x, digits);
}
char
float_exp(
floatnum x,
int digits)
{
signed char sgn;
if (!chckmathparam(x, digits))
return 0;
sgn = float_getsign(x);
if (_exp(x, digits))
return 1;
if (sgn < 0)
return _seterror(x, Underflow);
return _seterror(x, Overflow);
}
char
float_gamma(
floatnum x,
int digits)
{
signed char sign;
char result;
if (!chckmathparam(x, digits))
return 0;
sign = float_getsign(x);
if (float_isinteger(x))
{
if (sign <= 0)
return _seterror(x, ZeroDivide);
result = _gammaint(x, digits);
}
else if (float_getlength(x) - float_getexponent(x) == 2
&& float_getdigit(x, float_getlength(x) - 1) == 5)
result = _gamma0_5(x, digits);
else
result = _gamma(x, digits);
if (!result)
{
if (sign < 0)
float_seterror(Underflow);
else
float_seterror(Overflow);
float_setnan(x);
}
return result;
}
char
float_raise(
floatnum power,
cfloatnum base,
cfloatnum exponent,
int digits)
{
signed char sgn;
if (float_isnan(exponent) || float_isnan(base))
return _seterror(power, NoOperand);
if (digits <= 0 || digits > MATHPRECISION)
return _seterror(power, InvalidPrecision);
if (float_iszero(base))
{
switch(float_getsign(exponent))
{
case 0:
return _seterror(power, OutOfDomain);
case -1:
return _seterror(power, ZeroDivide);
}
return _setzero(power);
}
sgn = float_getsign(base);
if (sgn < 0)
{
if (!float_isinteger(exponent))
return _seterror(power, OutOfDomain);
if ((float_getdigit(exponent, float_getexponent(exponent)) & 1) == 0)
sgn = 1;
}
float_copy(power, base, digits+1);
float_abs(power);
if (!_raise(power, exponent, digits))
{
float_seterror(Overflow);
if (float_getexponent(base) * float_getsign(exponent) < 0)
float_seterror(Underflow);
return _setnan(power);
}
float_setsign(power, sgn);
return 1;
}
char
float_ln(floatnum x, int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_getsign(x) <= 0)
return _seterror(x, OutOfDomain);
_ln(x, digits);
return 1;
}
char
float_lngamma(
floatnum x,
int digits)
{
if (!x)
return _seterror(x, OutOfDomain);
return chckmathparam(x, digits) && _lngamma(x, digits)?
1 : _setnan(x);
}
char
float_expminus1(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (_expminus1(x, digits))
return 1;
return _seterror(x, Overflow);
}
char
float_sinh(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (_sinh(x, digits))
return 1;
return _seterror(x, Overflow);
}
char
float_tan(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
return float_getexponent(x) >= DECPRECISION - 1
|| !_trigreduce(x, digits)
|| !_tan(x, digits)? _seterror(x, EvalUnstable) : 1;
}
char
float_arccos(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_abscmp(x, &c1) > 0)
return _seterror(x, OutOfDomain);
_arccos(x, digits);
return 1;
}
char
float_cos(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_getexponent(x) >= DECPRECISION - 1 || !_trigreduce(x, digits))
return _seterror(x, EvalUnstable);
_cos(x, digits);
return 1;
}
char
float_lnxplus1(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_getsign(x) < 0 && float_getexponent(x) >= 0)
return _seterror(x, OutOfDomain);
_lnxplus1(x, digits);
return 1;
}
char
float_pochhammer(
floatnum x,
cfloatnum delta,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
return float_isnan(delta)?
_seterror(x, NoOperand)
: _pochhammer(x, delta, digits);
}
char
float_arccosxplus1(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_getsign(x) > 0 || float_abscmp(x, &c2) > 0)
return _seterror(x, OutOfDomain);
_arccosxplus1(x, digits);
return 1;
}
char
float_arcoshxplus1(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_getsign(x) < 0)
return _seterror(x, OutOfDomain);
_arcoshxplus1(x, digits);
return 1;
}
char
float_artanh(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_getexponent(x) >= 0)
return _seterror(x, OutOfDomain);
_artanh(x, digits);
return 1;
}
char
float_raisei(
floatnum power,
cfloatnum base,
int exponent,
int digits)
{
if (digits <= 0 || digits > maxdigits)
return _seterror(power, InvalidPrecision);
if (float_isnan(base))
return _seterror(power, NoOperand);
if (float_iszero(base))
{
if (exponent == 0)
return _seterror(power, OutOfDomain);
if (exponent < 0)
return _seterror(power, ZeroDivide);
return _setzero(power);
}
digits += 14;
if (digits > maxdigits)
digits = maxdigits;
float_copy(power, base, digits);
if (!_raisei(power, exponent, digits)
|| !float_isvalidexp(float_getexponent(power)))
{
if (float_getexponent(base) < 0)
return _seterror(power, Underflow);
return _seterror(power, Overflow);
}
return 1;
}
Error
float_in(
floatnum x,
p_itokens tokens)
{
t_number_desc n;
Error result;
if ((result = str2desc(&n, tokens)) == Success)
result = pack2floatnum(x, &n);
if (result != Success)
{
_seterror(x, BadLiteral);
float_setnan(x);
}
return result;
}
char
float_cosh(
floatnum x,
int digits)
{
int expx;
if (!chckmathparam(x, digits))
return 0;
expx = float_getexponent(x);
if (2*expx+2 <= -digits || !_coshminus1(x, digits+2*expx))
{
if (expx > 0)
return _seterror(x, Overflow);
float_setzero(x);
}
return float_add(x, x, &c1, digits);
}
char
float_artanhxplus1(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_getsign(x) >= 0 || float_abscmp(x, &c2) >= 0)
return _seterror(x, OutOfDomain);
if (float_cmp(x, &c1Div2) < 0)
{
float_neg(x);
_artanh1minusx(x, digits);
}
else
{
float_sub(x, &c1, x, digits+1);
_artanh(x, digits);
}
return 1;
}
char
float_tanhminus1(
floatnum x,
int digits)
{
if (!chckmathparam(x, digits))
return 0;
if (float_cmp(x, &c1Div2) >= 0)
return _tanhminus1gt0(x, digits)? 1 : _seterror(x, Underflow);
if (!float_iszero(x))
{
if (float_abscmp(x, &c1Div2) <= 0)
_tanhlt0_5(x, digits);
else
{
float_setsign(x, 1);
_tanhgt0_5(x, digits);
float_setsign(x, -1);
}
}
return float_sub(x, x, &c1, digits);
}
char
float_lg(
floatnum x,
int digits)
{
floatstruct tmp;
int expx;
if (!chckmathparam(x, digits))
return 0;
if (float_getsign(x) <= 0)
return _seterror(x, OutOfDomain);
float_create(&tmp);
expx = float_getexponent(x);
float_setexponent(x, 0);
_ln(x, digits);
float_div(x, x, &cLn10, digits);
float_setinteger(&tmp, expx);
float_add(x, x, &tmp, digits);
float_free(&tmp);
return 1;
}
static char
_pochhammer_i(
floatnum x,
cfloatnum n,
int digits)
{
/* do not use the expensive Gamma function when a few
multiplications do the same */
/* pre: n is an integer */
int ni;
signed char result;
if (float_iszero(n))
return float_copy(x, &c1, EXACT);
if (float_isinteger(x))
{
result = -1;
float_neg((floatnum)n);
if (float_getsign(x) <= 0 && float_cmp(x, n) > 0)
/* x and x+n have opposite signs, meaning 0 is
among the factors */
result = _setzero(x);
else if (float_getsign(x) > 0 && float_cmp(x, n) <= 0)
/* x and x+n have opposite signs, meaning at one point
you have to divide by 0 */
result = _seterror(x, ZeroDivide);
float_neg((floatnum)n);
if (result >= 0)
return result;
}
if (float_getexponent(x) < EXPMAX/100)
{
ni = float_asinteger(n);
if (ni != 0 && ni < 50 && ni > -50)
return _pochhammer_si(x, ni, digits+2);
}
return _pochhammer_g(x, n, digits);
}
