mirror of
https://github.com/CloverHackyColor/CloverBootloader.git
synced 2024-11-10 09:40:53 +01:00
400 lines
8.0 KiB
C++
400 lines
8.0 KiB
C++
//
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// FloatLib.c
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//
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//
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// Created by Slice on 20.06.2018.
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//
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#include <Platform.h>
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#include "FloatLib.h"
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//#define memcpy(dest,source,count) CopyMem(dest,(void*)source,(UINTN)(count))
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//#define fabsf(x) ((x >= 0.0f)?x:(-x))
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#define fabsf(x) FabsF(x)
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//we will assume sqrt(abs(x))
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float SqrtF(float X)
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{
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/*
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struct FloatInt {
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union {
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INT32 i;
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float f;
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} fi;
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};
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*/
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if (X == 0.0f) {
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return 0.0f;
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} else if (X < 0.0f) {
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X = -X;
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}
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// struct FloatInt Y;
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float Yf;
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Yf = X * 0.3f;
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// Y.i = Y.i >> 1; // dirty hack - first iteration
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//do six iterations
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Yf = Yf * 0.5f + X / (Yf * 2.0f);
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Yf = Yf * 0.5f + X / (Yf * 2.0f);
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Yf = Yf * 0.5f + X / (Yf * 2.0f);
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Yf = Yf * 0.5f + X / (Yf * 2.0f);
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Yf = Yf * 0.5f + X / (Yf * 2.0f);
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Yf = Yf * 0.5f + X / (Yf * 2.0f);
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return Yf;
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}
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float CosF(float X);
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//we know sin is odd
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float SinF(float X)
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{
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INTN Period;
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float X2;
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float Sign = 1.0f;
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if (X < 0.0f) {
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X = -X;
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Sign = -1.0f;
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}
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Period = (INTN)(X / PI2);
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X = X - Period * PI2;
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if (X > PI) {
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X = X - PI;
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Sign *= -1.0f;
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}
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if (X > PI5) {
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X = PI - X;
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}
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if (X > PI * 0.25f) {
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return (Sign*CosF(PI5 - X));
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}
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X2 = X * X;
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return (Sign*(X - X2 * X / 6.0f + X2 * X2 * X / 120.0f));
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}
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//we know cos is even
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float CosF(float X)
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{
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INTN Period;
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float Sign = 1.0f;
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float X2;
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if (X < 0.0f) {
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X = -X;
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}
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Period = (INTN)(X / PI2);
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X = X - Period * PI2;
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if (X > PI) {
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X = PI - X;
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Sign = -1.0f;
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}
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if (X > PI5) {
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X = PI - X;
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Sign *= -1.0f;
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}
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if (X > PI * 0.25f) {
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return (Sign*SinF(PI5 - X));
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}
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X2 = X * X;
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return (Sign * (1.0f - X2 * 0.5f + X2 * X2 / 24.0f));
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}
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float TanF(float X)
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{
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float Y = CosF(X);
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if (Y == 0.0f) {
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Y = 1.0e-37f;
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}
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return SinF(X)/Y;
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}
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float PowF(float x, INTN n)
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{
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float Data = x;
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if (n > 0) {
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while (n > 0) {
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Data *= 10.0f;
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n--;
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}
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} else {
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while (n < 0) {
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Data *= 0.1f;
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n++;
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}
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}
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return Data;
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}
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float CeilF(float X)
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{
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INT32 I = (INT32)X;
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return (float)(++I);
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}
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float FloorF(float X)
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{
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INT32 I = (INT32)X;
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return (float)I;
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}
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float ModF(float X, float Y)
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{
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INT32 I = (INT32)(X / Y);
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return (X - (float)I * Y);
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}
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float AcosF(float X)
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{
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float X2 = X * X;
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float res = 0.f, Y = 0.f;
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INTN Sign = 0;
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if (X2 < 0.3f) {
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Y = X * (1.0f + X2 / 6.0f + X2 * X2 * (3.0f / 40.0f));
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return (PI5 - Y);
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} else if (X2 >= 1.0f) {
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return 0.0f;
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} else {
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if (X < 0) {
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X = -X;
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Sign = 1;
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}
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Y = 1.0f - X; //for X ~ 1
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X2 = Y * (2.0f + Y * (1.0f / 3.0f + Y * (4.0f / 45.0f + Y / 35.0f))); //Dwight, form.508
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res = SqrtF(X2);
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if (Sign) {
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res = PI - res;
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}
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}
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return res;
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}
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float AtanF(float X) //assume 0.0 < X < 1.0
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{
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float Eps = 1.0e-8f;
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int i = 1;
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float X2 = X * X;
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float D = X;
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float Y = 0.f;
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float sign = 1.0f;
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if (X > 0.5f) {
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//make here arctg(1-x)
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X = 1.0f - D;
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X2 = X * X;
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Y = PI4 - X * 0.5f - X2 * 0.25f - X * X2 * 0.25f * ( 1.f / 3.f - X2 * (0.1f + X / 12.f + X2 / 28.f));
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} else {
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// Y = X * (1 - X2 * ( 1.0f / 3.0f - X2 * (1.0f / 5.0f - X2 * ( 1.0f / 7.0f))));
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for (i = 1; i < 50; i += 2) {
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Y += (D * sign / i);
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D *= X2;
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if (D < Eps) {
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break;
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}
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sign = - sign;
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}
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}
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return Y;
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}
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float Atan2F(float Y, float X) //result -pi..+pi
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{
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float sign = (((X >= 0.0f) && (Y < 0.0f)) ||
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((X < 0.0f) && (Y >= 0.0f)))?-1.0f:1.0f;
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float PP = 0.f;
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float res = 0.f;
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//1,1 = pi4 1,-1=pi34 -1,-1=-pi34 -1,1=-pi4
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if (X < 0.f) {
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PP = PI;
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}
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X = (X >= 0.0f)?X:(-X);
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Y = (Y >= 0.0f)?Y:(-Y);
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if (Y < X) {
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res = AtanF(Y / X);
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} else if (X == 0.0f) {
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res = PI5;
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} else {
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res = (PI5 - AtanF(X / Y));
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}
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return sign * (res - PP);
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}
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/*
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RETURN_STATUS
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EFIAPI
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AsciiStrDecimalToUintnS (
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IN CONST CHAR8 *String,
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OUT CHAR8 **EndPointer, OPTIONAL
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OUT UINTN *Data
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);
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*/
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RETURN_STATUS
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AsciiStrToFloat(IN CONST CHAR8 *String,
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OUT CHAR8 **EndPointer, OPTIONAL
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OUT float *Data)
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{
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UINTN Temp = 0;
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INTN Sign = 1;
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float Mantissa, Ftemp;
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CHAR8* TmpStr = NULL;
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RETURN_STATUS Status = RETURN_SUCCESS;
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if (EndPointer != NULL) {
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*EndPointer = (CHAR8 *) String;
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}
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//
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// Ignore the pad spaces (space or tab)
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//
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while ((*String == ' ') || (*String == '\t')) {
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String++;
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}
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if (*String == '-') {
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Sign = -1;
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String++;
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} else if (*String == '+') {
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String++;
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}
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Status = AsciiStrDecimalToUintnS(String, &TmpStr, &Temp);
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Mantissa = (float)Temp;
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String = TmpStr;
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if (*String == '.') {
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String++;
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Temp = 0;
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Status = AsciiStrDecimalToUintnS(String, &TmpStr, &Temp);
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Ftemp = (float)Temp;
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while (String != TmpStr) {
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if (*String == '\0') {
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break;
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}
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Ftemp *= 0.1f;
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String++;
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}
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Mantissa += Ftemp;
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}
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if ((*String == 'E') || (*String == 'e')){
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INTN ExpSign = 1;
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String++;
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if (*String == '-') {
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ExpSign = -1;
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String++;
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} else if (*String == '+') {
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String++;
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}
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Temp = 0;
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Status = AsciiStrDecimalToUintnS(String, &TmpStr, &Temp);
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if ( Temp > MAX_INTN ) return RETURN_UNSUPPORTED;
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if (Status == RETURN_SUCCESS) {
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Ftemp = PowF(10.0f, ExpSign * (INTN)Temp); // cast to avoid warning
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Mantissa *= Ftemp;
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}
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}
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*Data = (Sign > 0)?Mantissa:-Mantissa;
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if (EndPointer != NULL) {
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*EndPointer = (CHAR8 *) TmpStr;
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}
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return RETURN_SUCCESS;
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}
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/*
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//Slice - this is my replacement for standard
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nsvg_qsort(void* Array, int Num, size_t Size,
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int (*compare)(void* a, void* b))
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usage qsort(Array, Num, sizeof(*Array), compare);
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where for example
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int compare(void *a, void* b)
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{
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if (*(float*)a > *(float*)b) return 1;
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if (*(float*)a < *(float*)b) return -1;
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return -0;
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}
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*/
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#if 0
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void QuickSort(void* Array, INTN Low, INTN High, INTN Size, INTN (*compare)(CONST void* a, CONST void* b)) {
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INTN i = Low, j = High;
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void *Med, *Temp;
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Med = Array + ((Low + High) / 2) * Size; // Central element, just pointer
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Temp = (__typeof__(Temp))AllocatePool(Size);
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// Sort around center
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while (i <= j)
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{
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while (compare((const void*)(Array+i*Size), (const void*)Med) == -1) i++;
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while (compare((const void*)(Array+j*Size), (const void*)Med) == 1) j--;
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// Change
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if (i <= j) {
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memcpy(Temp, Array+i*Size, Size);
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memcpy(Array+i*Size, Array+j*Size, Size);
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memcpy(Array+j*Size, Temp, Size);
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i++;
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j--;
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}
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}
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FreePool(Temp);
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// Recursion
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if (j > Low) QuickSort(Array, Low, j, Size, compare);
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if (High > i) QuickSort(Array, i, High, Size, compare);
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}
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//
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////S must be allocated before use
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//void AsciiSPrintFloat(CHAR8* S, INTN N, CHAR8* F, float X)
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//{
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// INTN I, Fract;
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// float D;
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// if (!S) {
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// return;
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// }
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//
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// I = (INTN)X;
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// D = (float)I;
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// Fract = fabsf((X - D) * 1000000.0f);
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// snprintf(S, N, "%D.%06D", I, (INTN)Fract);
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//}
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#endif
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//
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//CHAR16* P__oolPrintFloat(float X)
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//{
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// INTN I, Fract;
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// CHAR8 S = ' ';
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// float D;
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// I = (INTN)X;
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// D = (float)I;
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// if (I == 0 && X < 0) {
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// S = '-';
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// }
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// Fract = (INTN)fabsf((X - D) * 1000000.0f);
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// return P__oolPrint(L"%c%d.%06d", S, I, Fract);
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//}
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static UINT32 seed = 12345;
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float rndf() //expected 0..1
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{
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// UINT16 Rand = 0;
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// AsmRdRand16(&Rand); //it's a pity panic
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// return (float)Rand / 65536.f;
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seed = seed * 214013 + 2531011;
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float x = (float)seed / 4294967296.0f;
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return x;
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}
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int dither(float x, int level)
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{
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if (!level) {
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return (int)x;
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}
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int i = (int)(x) * level; //5.1 * 4 = 20.4, 5.8 * 4 = 23.2|i=20
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float dx = x * level - (float)(i); //0.4, 3.2
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i /= level;
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if (dx > rndf() * level) {
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i += (int)((0.9999f+rndf())*level); //because rndf has mean value 0.5, but (int)rnd=0
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}
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return i;
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}
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//there is
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#if 0
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XBool
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EFIAPI
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AsmRdRand16 (
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OUT UINT16 *Rand
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);
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#endif
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