#ifndef _LIBGCCVB_MATH_H_ #define _LIBGCCVB_MATH_H_ //Fixed Point macros #define fix7_9 s16 #define fix13_3 s16 #define fix23_9 s32 // round functions #define FIX23_9_ROUNDTOI(n) ((FIX23_9TOI(n)) + (((n) & 0x000001FF) >> 8)) #define F_ROUND(n) (int)((n) + 0.5f) //floor and ceil #define F_FLOOR(n) (int) ((n)-0.5f) #define F_CEIL(n) (int)((n)+0.5f) //convert a float to fixed point and back #define FTOFIX7_9(n) (fix7_9) ((n) * 512.0f+0.5f) #define FTOFIX13_3(n) (fix13_3)((n) * 8.0f+0.5f) #define FTOFIX23_9(n) (fix23_9)((n) * 512.0f+0.5f) #define FIX7_9TOF(n) (float) ((n) / 512.0f) #define FIX13_3TOF(n) (float) ((n) / 8.0f) #define FIX23_9TOF(n) (float) ((n) / 512.0f) //convert an int to fixed point and back #define ITOFIX7_9(n) (fix7_9) ((n)<<9) #define ITOFIX13_3(n) (fix13_3)((n)<<3) #define ITOFIX23_9(n) (fix23_9)((n)<<9) #define FIX7_9TOI(n) (s16) ((n)>>9) #define FIX13_3TOI(n) (s16) ((n)>>3) #define FIX23_9TOI(n) (s32) ((n)>>9) #define FIX23_9TOFIX13_3(n) (fix7_9)((n)>>6) #define FIX23_9TOFIX7_9(n) (fix7_9)(n) #define FIX7_9TOFIX23_9(n) (fix23_9)(n) #define FIX13_3TOFIX7_9(n) (fix7_9) ((n)<<6) #define FIX7_9TOFIX13_3(n) (fix13_3)((n)>>6) //Return fractional part of fixed #define FIX7_9_FRAC(n) ((n)&0x01FF) #define FIX13_3_FRAC(n) ((n)&0x0007) #define FIX23_9_FRAC(n) ((n)&0x01FF) //fixed multiplication, what a mess of brackets //question how do we return an s32 from s16*s16 without forcing a promotion to s32 #define FIX7_9_MULT(a,b) (fix7_9) ((((s32)(a))*((s32)(b)))>>9) #define FIX13_3_MULT(a,b) (fix13_3)((((s32)(a))*((s32)(b)))>>3) #define FIX23_9_MULT(a,b) (fix23_9)((((s64)(a))*((s64)(b)))>>9) //Fixed division #define FIX7_9_DIV(a,b) (fix7_9) ((((s32)(a))<<9)/((s32)(b))) #define FIX13_3_DIV(a,b) (fix13_3)((((s32)(a))<<3)/((s32)(b))) #define FIX23_9_DIV(a,b) (fix23_9)((((s64)(a))<<9)/((s64)(b))) static const s16 SINLUT[] = { 0, 6, 12, 18, 25, 31, 37, 43, //1 50, 56, 62, 68, 75, 81, 87, 93, //2 99, 106, 112, 118, 124, 130, 136, 142, //3 148, 154, 160, 166, 172, 178, 184, 190, //4 195, 201, 207, 213, 218, 224, 230, 235, //5 241, 246, 252, 257, 263, 268, 273, 279, //6 284, 289, 294, 299, 304, 310, 314, 319, //7 324, 329, 334, 339, 343, 348, 353, 357, //8 362, 366, 370, 375, 379, 383, 387, 391, //9 395, 399, 403, 407, 411, 414, 418, 422, //10 425, 429, 432, 435, 439, 442, 445, 448, //11 451, 454, 457, 460, 462, 465, 468, 470, //12 473, 475, 477, 479, 482, 484, 486, 488, //13 489, 491, 493, 495, 496, 498, 499, 500, //14 502, 503, 504, 505, 506, 507, 508, 508, //15 509, 510, 510, 511, 511, 511, 511, 512, //16 511, 511, 511, 511, 511, 511, 510, 510, //17 509, 508, 508, 507, 506, 505, 504, 503, //18 502, 500, 499, 498, 496, 495, 493, 491, //19 489, 488, 486, 484, 482, 479, 477, 475, //20 473, 470, 468, 465, 462, 460, 457, 454, //21 451, 448, 445, 442, 439, 435, 432, 429, //22 425, 422, 418, 414, 411, 407, 403, 399, //23 395, 391, 387, 383, 379, 375, 370, 366, //24 362, 357, 353, 348, 343, 339, 334, 329, //25 324, 319, 314, 310, 304, 299, 294, 289, //26 284, 279, 273, 268, 263, 257, 252, 246, //27 241, 235, 230, 224, 218, 213, 207, 201, //28 195, 190, 184, 178, 172, 166, 160, 154, //29 148, 142, 136, 130, 124, 118, 112, 106, //30 99, 93, 87, 81, 75, 68, 62, 56, //31 50, 43, 37, 31, 25, 18, 12, 6, //32 0, -6, -12, -18, -25, -31, -37, -43, //33 -50, -56, -62, -68, -75, -81, -87, -93, //34 -99, -106, -112, -118, -124, -130, -136, -142, //35 -148, -154, -160, -166, -172, -178, -184, -190, //36 -195, -201, -207, -213, -218, -224, -230, -235, //37 -241, -246, -252, -257, -263, -268, -273, -279, //38 -284, -289, -294, -299, -305, -310, -315, -319, //39 -324, -329, -334, -339, -343, -348, -353, -357, //40 -362, -366, -370, -375, -379, -383, -387, -391, //41 -395, -399, -403, -407, -411, -414, -418, -422, //42 -425, -429, -432, -435, -439, -442, -445, -448, //43 -451, -454, -457, -460, -462, -465, -468, -470, //44 -473, -475, -477, -479, -482, -484, -486, -488, //45 -489, -491, -493, -495, -496, -498, -499, -500, //46 -502, -503, -504, -505, -506, -507, -508, -508, //47 -509, -510, -510, -511, -511, -511, -511, -512, //48 -511, -511, -511, -511, -511, -511, -510, -510, //49 -509, -508, -508, -507, -506, -505, -504, -503, //50 -502, -500, -499, -498, -496, -495, -493, -491, //51 -489, -488, -486, -484, -482, -479, -477, -475, //52 -473, -470, -468, -465, -462, -460, -457, -454, //53 -451, -448, -445, -442, -439, -435, -432, -429, //54 -425, -422, -418, -414, -411, -407, -403, -399, //55 -395, -391, -387, -383, -379, -375, -370, -366, //56 -362, -357, -353, -348, -343, -339, -334, -329, //57 -324, -319, -314, -310, -304, -299, -294, -289, //58 -284, -279, -273, -268, -263, -257, -252, -246, //59 -241, -235, -230, -224, -218, -213, -207, -201, //60 -195, -190, -184, -178, -172, -166, -160, -154, //61 -148, -142, -136, -130, -124, -118, -112, -106, //62 -99, -93, -87, -81, -75, -68, -62, -56, //63 -50, -43, -37, -31, -25, -18, -12, -6 };//64 #define COS(x) SINLUT[((x)+128)&0x1FF] #define SIN(x) SINLUT[(x)&0x1FF] #define COSF(x) FIX7_9TOF(SINLUT[((x)+128)&0x1FF]) #define SINF(x) FIX7_9TOF(SINLUT[(x)&0x1FF]) float squareRootFloat(float number); #endif