math_data.c File Reference

Variables
const float	__ln_F [0x81]
	math_data.c - Data tables for MSL math functions
const float	__one_over_F [0x81]
	__one_over_F[n] = 1.0 / (1.0 + n/128) for n = 0..128
const float	__sincos_on_quadrant [] = { 0, 1, 1, 0, 0, -1, -1, 0 }
const float	__sincos_poly []

Variable Documentation

__ln_F

const float __ln_F[0x81]

Initial value:

                   = {
    0.0f,         0.0077821403f, 0.015504186f, 0.023167059f, 0.030771658f,
    0.038318865f, 0.045809537f,  0.053244516f, 0.06062462f,  0.06795066f,
    0.07522342f,  0.08244367f,   0.089612156f, 0.09672963f,  0.103796795f,
    0.11081436f,  0.11778303f,   0.12470348f,  0.13157636f,  0.13840233f,
    0.14518201f,  0.15191604f,   0.15860502f,  0.16524957f,  0.17185026f,
    0.17840765f,  0.18492234f,   0.19139485f,  0.19782574f,  0.20421554f,
    0.21056476f,  0.21687394f,   0.22314355f,  0.2293741f,   0.23556606f,
    0.24171993f,  0.24783616f,   0.25391522f,  0.25995752f,  0.26596355f,
    0.2719337f,   0.27786845f,   0.28376818f,  0.2896333f,   0.29546422f,
    0.30126134f,  0.30702505f,   0.3127557f,   0.31845373f,  0.32411948f,
    0.32975328f,  0.33535555f,   0.3409266f,   0.34646678f,  0.35197642f,
    0.35745588f,  0.3629055f,    0.36832556f,  0.3737164f,   0.37907836f,
    0.3844117f,   0.38971674f,   0.3949938f,   0.40024316f,  0.4054651f,
    0.41065994f,  0.4158279f,    0.4209693f,   0.4260844f,   0.43117347f,
    0.43623677f,  0.44127455f,   0.4462871f,   0.45127463f,  0.45623744f,
    0.4611757f,   0.46608973f,   0.47097972f,  0.4758459f,   0.48068854f,
    0.48550782f,  0.490304f,     0.49507725f,  0.49982786f,  0.504556f,
    0.5092619f,   0.51394576f,   0.51860774f,  0.52324814f,  0.5278671f,
    0.5324648f,   0.5370415f,    0.5415973f,   0.54613245f,  0.55064714f,
    0.5551415f,   0.5596158f,    0.56407017f,  0.56850475f,  0.5729197f,
    0.5773154f,   0.58169174f,   0.586049f,    0.59038746f,  0.59470713f,
    0.5990082f,   0.60329086f,   0.60755527f,  0.61180156f,  0.61602986f,
    0.6202404f,   0.6244333f,    0.62860864f,  0.63276666f,  0.63690746f,
    0.6410312f,   0.64513797f,   0.649228f,    0.6533013f,   0.65735805f,
    0.6613985f,   0.6654226f,    0.6694307f,   0.6734227f,   0.6773988f,
    0.68135923f,  0.685304f,     0.6892333f,   0.6931472f,
}

math_data.c - Data tables for MSL math functions

Math lookup tables - defined in math_data.c Keeping them in a separate compilation unit prevents the compiler from hoisting array base addresses, which is needed to match the original code.

These arrays are kept in a separate compilation unit so that functions like logf() generate separate address loads for each table access, rather than hoisting a shared base pointer. __ln_F[n] = ln(1.0 + n/128) for n = 0 .. 128

math_data.c - Data tables for MSL math functions

__one_over_F

const float __one_over_F[0x81]

Initial value:

                         = {
    1.0f,        0.99224806f, 0.9846154f,  0.97709924f, 0.969697f,
    0.96240604f, 0.95522386f, 0.94814813f, 0.9411765f,  0.93430656f,
    0.92753625f, 0.92086333f, 0.9142857f,  0.9078014f,  0.90140843f,
    0.8951049f,  0.8888889f,  0.8827586f,  0.8767123f,  0.8707483f,
    0.8648649f,  0.8590604f,  0.85333335f, 0.8476821f,  0.84210527f,
    0.8366013f,  0.83116883f, 0.82580644f, 0.82051283f, 0.81528664f,
    0.8101266f,  0.8050314f,  0.8f,        0.7950311f,  0.79012346f,
    0.78527606f, 0.7804878f,  0.77575755f, 0.7710843f,  0.7664671f,
    0.7619048f,  0.75739646f, 0.7529412f,  0.748538f,   0.74418604f,
    0.7398844f,  0.7356322f,  0.73142856f, 0.72727275f, 0.72316384f,
    0.71910113f, 0.7150838f,  0.7111111f,  0.70718235f, 0.7032967f,
    0.69945353f, 0.6956522f,  0.6918919f,  0.68817204f, 0.684492f,
    0.68085104f, 0.67724866f, 0.67368424f, 0.6701571f,  0.6666667f,
    0.6632124f,  0.6597938f,  0.6564103f,  0.6530612f,  0.6497462f,
    0.64646465f, 0.6432161f,  0.64f,       0.6368159f,  0.63366336f,
    0.63054186f, 0.627451f,   0.62439024f, 0.6213592f,  0.6183575f,
    0.61538464f, 0.61244017f, 0.60952383f, 0.6066351f,  0.6037736f,
    0.600939f,   0.5981308f,  0.59534883f, 0.5925926f,  0.58986175f,
    0.58715594f, 0.58447486f, 0.58181816f, 0.57918555f, 0.5765766f,
    0.57399106f, 0.5714286f,  0.5688889f,  0.5663717f,  0.5638766f,
    0.5614035f,  0.558952f,   0.5565217f,  0.55411255f, 0.55172414f,
    0.5493562f,  0.5470086f,  0.54468083f, 0.5423729f,  0.54008436f,
    0.53781515f, 0.53556484f, 0.53333336f, 0.53112036f, 0.5289256f,
    0.52674896f, 0.52459013f, 0.52244896f, 0.5203252f,  0.51821864f,
    0.516129f,   0.5140562f,  0.512f,      0.5099602f,  0.50793654f,
    0.5059289f,  0.503937f,   0.50196075f, 0.5f,
}

__one_over_F[n] = 1.0 / (1.0 + n/128) for n = 0..128

__sincos_on_quadrant

const float __sincos_on_quadrant[] = { 0, 1, 1, 0, 0, -1, -1, 0 }

__sincos_poly

const float __sincos_poly[]

Initial value:

                          = {
    0.0000035287617, 0.0000003089747, -0.0003259365,
    -0.00003657235,  0.015854323,     0.0024903931,
    -0.30842513,     -0.08074551,     1,
    0.7853982,
}