/* Copyright (C) 2003-2015 LiveCode Ltd.

This file is part of LiveCode.

LiveCode is free software; you can redistribute it and/or modify it under

the terms of the GNU General Public License v3 as published by the Free

Software Foundation.

LiveCode is distributed in the hope that it will be useful, but WITHOUT ANY

WARRANTY; without even the implied warranty of MERCHANTABILITY or

FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License

for more details.

You should have received a copy of the GNU General Public License

along with LiveCode. If not see <http://www.gnu.org/licenses/>. */

#include <foundation.h>

#include "foundation-math.h"

#include <foundation-system.h>

#include <float.h>

#include <errno.h>

#ifndef _WIN32

# include <fenv.h>

#endif

// Older versions of MSVC don't supply "trunc"

#ifdef _WIN32

double trunc(double f) { return f < 0 ? ceil(f) : floor(f); }

# define isnan(x) _isnan(x)

#endif

////////////////////////////////////////////////////////////////

MCTypeInfoRef kMCMathDomainErrorTypeInfo;

////////////////////////////////////////////////////////////////

static inline bool

__MCMathPropagateNanUnary (double p_in, double p_out)

{

if (isnan (p_out) && !isnan (p_in))

return false;

return true;

}

static inline bool

__MCMathPropagateNanBinary (double p_left, double p_right, double p_out)

{

if (isnan (p_out) && (!(isnan (p_left) || isnan (p_right))))

return false;

return true;

}

////////////////////////////////////////////////////////////////

extern "C" MC_DLLEXPORT_DEF void MCMathEvalRealToPowerOfReal(double p_left, double p_right, double& r_output)

{

r_output = pow(p_left, p_right);

if (__MCMathPropagateNanBinary (p_left, p_right, r_output))

return;

MCErrorCreateAndThrow (kMCMathDomainErrorTypeInfo, nil);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalNumberToPowerOfNumber(MCNumberRef p_left, MCNumberRef p_right, MCNumberRef& r_output)

{

double t_left, t_right;

t_left = MCNumberFetchAsReal(p_left);

t_right = MCNumberFetchAsReal(p_right);

double t_result;

MCMathEvalRealToPowerOfReal(t_left, t_right, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalBase10LogReal(double p_operand, double& r_output)

{

r_output = log10(p_operand);

if (__MCMathPropagateNanUnary (p_operand, r_output))

return;

MCErrorCreateAndThrow (kMCMathDomainErrorTypeInfo, nil);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalBase10LogNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalBase10LogReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalNaturalLogReal(double p_operand, double& r_output)

{

r_output = log(p_operand);

if (__MCMathPropagateNanUnary (p_operand, r_output))

return;

MCErrorCreateAndThrow (kMCMathDomainErrorTypeInfo, nil);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalNaturalLogNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalNaturalLogReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalExpReal(double p_operand, double& r_output)

{

r_output = exp(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalExpNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalExpReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalSinReal(double p_operand, double& r_output)

{

r_output = sin(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalSinNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalSinReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalCosReal(double p_operand, double& r_output)

{

r_output = cos(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalCosNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalCosReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalTanReal(double p_operand, double& r_output)

{

r_output = tan(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalTanNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalTanReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAsinReal(double p_operand, double& r_output)

{

r_output = asin(p_operand);

if (__MCMathPropagateNanUnary (p_operand, r_output))

return;

MCErrorCreateAndThrow (kMCMathDomainErrorTypeInfo, nil);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAsinNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalAsinReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAcosReal(double p_operand, double& r_output)

{

r_output = acos(p_operand);

if (__MCMathPropagateNanUnary (p_operand, r_output))

return;

MCErrorCreateAndThrow (kMCMathDomainErrorTypeInfo, nil);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAcosNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalAcosReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAtanReal(double p_operand, double& r_output)

{

r_output = atan(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAtanNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

double t_operand;

t_operand = MCNumberFetchAsReal(p_operand);

double t_result;

MCMathEvalAtanReal(t_operand, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAtan2Real(double p_first, double p_second, double& r_output)

{

r_output = atan2(p_first, p_second);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAtan2Number(MCNumberRef p_first, MCNumberRef p_second, MCNumberRef& r_output)

{

double t_first, t_second;

t_first = MCNumberFetchAsReal(p_first);

t_second = MCNumberFetchAsReal(p_second);

double t_result;

MCMathEvalAtan2Real(t_first, t_second, t_result);

// if (!ctxt . HasError())

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAbsInteger(integer_t p_operand, integer_t& r_output)

{

r_output = MCAbs(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAbsReal(double p_operand, double& r_output)

{

r_output = MCAbs(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalAbsNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

if (MCNumberIsInteger(p_operand))

{

integer_t t_abs;

MCMathEvalAbsInteger(MCNumberFetchAsInteger(p_operand), t_abs);

MCNumberCreateWithInteger(t_abs, r_output);

return;

}

double t_abs_real;

MCMathEvalAbsReal(MCNumberFetchAsReal(p_operand), t_abs_real);

MCNumberCreateWithReal(t_abs_real, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalTruncInteger(integer_t p_operand, integer_t& r_output)

{

r_output = p_operand;

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalTruncReal(double p_operand, double& r_output)

{

r_output = trunc(p_operand);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalTruncNumber(MCNumberRef p_operand, MCNumberRef& r_output)

{

if (MCNumberIsInteger(p_operand))

{

integer_t t_abs;

MCMathEvalTruncInteger(MCNumberFetchAsInteger(p_operand), t_abs);

MCNumberCreateWithInteger(t_abs, r_output);

return;

}

double t_abs_real;

MCMathEvalTruncReal(MCNumberFetchAsReal(p_operand), t_abs_real);

MCNumberCreateWithReal(t_abs_real, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMinInteger(integer_t p_left, integer_t p_right, integer_t& r_output)

{

r_output = MCMin(p_left, p_right);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMinReal(double p_left, double p_right, double& r_output)

{

r_output = MCMin(p_left, p_right);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMinNumber(MCNumberRef p_left, MCNumberRef p_right, MCNumberRef& r_output)

{

double t_left, t_right, t_result;

t_left = MCNumberFetchAsReal(p_left);

t_right = MCNumberFetchAsReal(p_right);

MCMathEvalMinReal(t_left, t_right, t_result);

MCNumberCreateWithReal(t_result, r_output);

}

static void MCMathEvalMinMaxList(MCProperListRef p_list, bool p_is_min, MCNumberRef& r_output)

{

if (MCProperListIsEmpty(p_list))

{

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("list must be non-empty"), nil);

return;

}

if (!MCProperListIsListOfType(p_list, kMCValueTypeCodeNumber))

{

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("list must be numeric"), nil);

return;

}

double t_minmax, t_cur_real;

t_cur_real = MCNumberFetchAsReal((MCNumberRef)MCProperListFetchElementAtIndex(p_list, 0));

t_minmax = t_cur_real;

bool t_replace;

for (uindex_t i = 1; i < MCProperListGetLength(p_list); i++)

{

t_cur_real = MCNumberFetchAsReal((MCNumberRef)MCProperListFetchElementAtIndex(p_list, i));

t_replace = p_is_min ? t_cur_real < t_minmax : t_cur_real > t_minmax;

if (t_replace)

t_minmax = t_cur_real;

}

MCNumberCreateWithReal(t_minmax, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMinList(MCProperListRef p_list, MCNumberRef& r_output)

{

MCMathEvalMinMaxList(p_list, true, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMaxList(MCProperListRef p_list, MCNumberRef& r_output)

{

MCMathEvalMinMaxList(p_list, false, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMaxInteger(integer_t p_left, integer_t p_right, integer_t& r_output)

{

r_output = MCMax(p_left, p_right);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMaxReal(double p_left, double p_right, double& r_output)

{

r_output = MCMax(p_left, p_right);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalMaxNumber(MCNumberRef p_left, MCNumberRef p_right, MCNumberRef& r_output)

{

double t_left, t_right, t_result;

t_left = MCNumberFetchAsReal(p_left);

t_right = MCNumberFetchAsReal(p_right);

MCMathEvalMaxReal(t_left, t_right, t_result);

MCNumberCreateWithReal(t_result, r_output);

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalRandomReal(double& r_output)

{

r_output = MCSRandomReal();

}

////////////////////////////////////////////////////////////////////////////////////////////////////

extern "C" MC_DLLEXPORT_DEF void MCMathEvalConvertToBase10(MCStringRef p_operand, integer_t p_source_base, integer_t& r_output)

{

if (p_source_base < 2 || p_source_base > 32)

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("source base must be between 2 and 32"), nil);

bool t_negative;

uinteger_t t_result;

bool t_error = false;

if (MCMathConvertToBase10(p_operand, p_source_base, t_negative, t_result, t_error))

{

if ((t_negative && t_result > INTEGER_MAX) || (!t_negative && t_result > abs(INTEGER_MIN)))

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("integer overflow"), nil);

else

r_output = t_negative ? -t_result : t_result;

}

else if (t_error)

{

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("integer overflow, or invalid character in source"), nil);

}

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalConvertFromBase10(integer_t p_operand, integer_t p_dest_base, MCStringRef& r_output)

{

if (p_dest_base < 2 || p_dest_base > 32)

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("destination base must be between 2 and 32"), nil);

if (p_operand < 0)

{

if (MCMathConvertFromBase10(-p_operand, true, p_dest_base, r_output))

return;

}

else

{

if (MCMathConvertFromBase10(p_operand, false, p_dest_base, r_output))

return;

}

// ctxt . Throw();

}

extern "C" MC_DLLEXPORT_DEF void MCMathEvalConvertBase(MCStringRef p_operand, integer_t p_source_base, integer_t p_dest_base, MCStringRef& r_output)

{

if (p_source_base < 2 || p_source_base > 32)

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("source base must be between 2 and 32"), nil);

if (p_dest_base < 2 || p_dest_base > 32)

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("destination base must be between 2 and 32"), nil);

bool t_negative;

uinteger_t t_result;

bool t_error;

if (MCMathConvertToBase10(p_operand, p_source_base, t_negative, t_result, t_error))

{

if (MCMathConvertFromBase10(t_result, t_negative, p_dest_base, r_output))

return;

}

// If t_error is false then we failed because of a memory error, so no need to throw

if (t_error)

MCErrorCreateAndThrow(kMCGenericErrorTypeInfo, "reason", MCSTR("integer overflow, or invalid character in source"), nil);

}

////////////////////////////////////////////////////////////////

extern "C" bool com_livecode_math_Initialize (void)

{

if (!MCNamedErrorTypeInfoCreate (MCNAME("com.livecode.math.DomainError"), MCNAME("math"), MCSTR("mathematical function domain error"), kMCMathDomainErrorTypeInfo))

return false;

return true;

}

extern "C" void com_livecode_math_Finalize (void)

{

MCValueRelease (kMCMathDomainErrorTypeInfo);

}

////////////////////////////////////////////////////////////////////////////////////////////////////