Remove math function wrappers
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@ -1,111 +0,0 @@
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/* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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/**
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* Number theory.
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*
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* Copyright: Eugene Wissner 2017-2020.
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* License: $(LINK2 https://www.mozilla.org/en-US/MPL/2.0/,
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* Mozilla Public License, v. 2.0).
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* Authors: $(LINK2 mailto:info@caraus.de, Eugene Wissner)
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* Source: $(LINK2 https://github.com/caraus-ecms/tanya/blob/master/source/tanya/math/nbtheory.d,
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* tanya/math/nbtheory.d)
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*/
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module tanya.math.nbtheory;
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import tanya.meta.trait;
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import tanya.meta.transform;
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import core.math : fabs;
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import std.math : log;
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/**
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* Calculates the absolute value of a number.
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*
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* Params:
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* T = Argument type.
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* x = Argument.
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*
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* Returns: Absolute value of $(D_PARAM x).
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*/
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Unqual!T abs(T)(T x)
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if (isIntegral!T)
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{
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static if (isSigned!T)
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{
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return x >= 0 ? x : -x;
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}
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else
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{
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return x;
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}
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}
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///
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@nogc nothrow pure @safe unittest
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{
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int i = -1;
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assert(i.abs == 1);
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static assert(is(typeof(i.abs) == int));
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uint u = 1;
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assert(u.abs == 1);
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static assert(is(typeof(u.abs) == uint));
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}
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/// ditto
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Unqual!T abs(T)(T x)
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if (isFloatingPoint!T)
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{
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return fabs(x);
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}
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///
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@nogc nothrow pure @safe unittest
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{
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float f = -1.64;
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assert(f.abs == 1.64F);
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static assert(is(typeof(f.abs) == float));
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double d = -1.64;
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assert(d.abs == 1.64);
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static assert(is(typeof(d.abs) == double));
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real r = -1.64;
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assert(r.abs == 1.64L);
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static assert(is(typeof(r.abs) == real));
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}
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/**
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* Calculates natural logarithm of $(D_PARAM x).
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*
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* Params:
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* T = Argument type.
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* x = Argument.
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*
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* Returns: Natural logarithm of $(D_PARAM x).
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*/
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Unqual!T ln(T)(T x)
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if (isFloatingPoint!T)
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{
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return log(x);
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}
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///
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@nogc nothrow pure @safe unittest
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{
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import tanya.math;
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assert(isNaN(ln(-7.389f)));
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assert(isNaN(ln(-7.389)));
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assert(isNaN(ln(-7.389L)));
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assert(isInfinity(ln(0.0f)));
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assert(isInfinity(ln(0.0)));
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assert(isInfinity(ln(0.0L)));
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assert(ln(1.0f) == 0.0f);
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assert(ln(1.0) == 0.0);
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assert(ln(1.0L) == 0.0L);
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}
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@ -12,7 +12,7 @@
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* be found in its submodules. $(D_PSYMBOL tanya.math) doesn't import any
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* submodules publically, they should be imported explicitly.
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*
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* Copyright: Eugene Wissner 2016-2020.
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* Copyright: Eugene Wissner 2016-2022.
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* License: $(LINK2 https://www.mozilla.org/en-US/MPL/2.0/,
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* Mozilla Public License, v. 2.0).
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* Authors: $(LINK2 mailto:info@caraus.de, Eugene Wissner)
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@ -21,7 +21,7 @@
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*/
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module tanya.math;
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import tanya.math.nbtheory;
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import std.math;
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import tanya.meta.trait;
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import tanya.meta.transform;
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@ -543,73 +543,3 @@ if (isFloatingPoint!F)
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assert(signBit(-1.0L));
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assert(!signBit(1.0L));
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}
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/**
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* Computes $(D_PARAM x) to the power $(D_PARAM y) modulo $(D_PARAM z).
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*
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* Params:
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* I = Base type.
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* G = Exponent type.
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* H = Divisor type:
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* x = Base.
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* y = Exponent.
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* z = Divisor.
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*
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* Returns: Reminder of the division of $(D_PARAM x) to the power $(D_PARAM y)
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* by $(D_PARAM z).
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*
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* Precondition: $(D_INLINECODE z > 0)
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*/
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H pow(I, G, H)(in auto ref I x, in auto ref G y, in auto ref H z)
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if (isIntegral!I && isIntegral!G && isIntegral!H)
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in
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{
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assert(z > 0, "Division by zero");
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}
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do
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{
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G mask = G.max / 2 + 1;
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H result;
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if (y == 0)
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{
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return 1 % z;
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}
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else if (y == 1)
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{
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return x % z;
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}
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do
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{
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immutable bit = y & mask;
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if (!result && bit)
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{
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result = x;
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continue;
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}
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result *= result;
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if (bit)
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{
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result *= x;
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}
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result %= z;
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}
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while (mask >>= 1);
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return result;
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}
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///
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@nogc nothrow pure @safe unittest
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{
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assert(pow(3, 5, 7) == 5);
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assert(pow(2, 2, 1) == 0);
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assert(pow(3, 3, 3) == 0);
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assert(pow(7, 4, 2) == 1);
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assert(pow(53, 0, 2) == 1);
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assert(pow(53, 1, 3) == 2);
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assert(pow(53, 2, 5) == 4);
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assert(pow(0, 0, 5) == 1);
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assert(pow(0, 5, 5) == 0);
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}
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@ -5,7 +5,7 @@
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/**
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* Random number generator.
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*
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* Copyright: Eugene Wissner 2016-2020.
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* Copyright: Eugene Wissner 2016-2022.
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* License: $(LINK2 https://www.mozilla.org/en-US/MPL/2.0/,
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* Mozilla Public License, v. 2.0).
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* Authors: $(LINK2 mailto:info@caraus.de, Eugene Wissner)
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