嵌入式c语言程序优化方法总结
文章目录
- 一.优化方法总结
- 二.AGA8优化算法
一.优化方法总结
1.将小数转换成单精度进行运算：通常小数被系统默认为双精度double型数据，将小数转成float型可提高运行速率。如：3.14---->3.14f
2.将int---->替换为unsighed short
3.将浮点型转成整形运算，可能会牺牲一定精度，如：a0.1023=(a1023)/1000=(a<<10)/1000
4.除法运算---->乘法运算
5.乘除法----->移位运算
6.二维数组运算----->一维数组运算
7.使用小的数据类型，能用1字节，不用两字节。能用2，不用4。
8.使用自加、自减。a+=1代替a=a+1;两个指令周期不同。
9.平方运算写成乘法。pow(a,2)----->a*a。
10.对于需要反复多次调用的变量声明为寄存器变量，rigister a。注意寄存器变量只能是局部动态变量，不能是静态变量！
11.采用事先判断变量为0或1，若判断正确，则不进行运算。
12.并行运算，由于32bit的CPU，都有两个ALU运算单元，因此可以让两个ALU同时运行。并行运算的条件是不能有数据依赖。
13.inline函数内联的用法：适用于函数体小，需要频繁被调用的情况；用于定义，不用于声明，因此需要放在定义前加上inline关键字。
14.函数和宏函数（不太建议），有点类似于inline的用法。使用宏函数可以减少函数调用的时间。
15.对于需要多次运算的，可采用查表法，即事先算好存在表里，直接查找！
16.学会优化算法，优化执行算法是最有效的手段。
17.对于支持FPU或DSP的处理器可开启，提高浮点型数据的执行速度。
18.提高编译器的优化等级，以获得更高质量的编译代码，提高程序执行效率。选择-O3优化等级最高，但调试效果变差。
二.AGA8优化算法
采用上述的一些优化原则对AGA8算法进行优化。
//aga8_font.h：存储一些固定的查表数据
#ifndef __AGA8_FONT_H
#define __AGA8_FONT_H
#include "sys.h"
//58种物质的状态方程参数，an,un,bn,cn,kn,gn,qn,fn
double an[58] = { 0.1538326,1.341953,-2.998583,-0.04831228,0.3757965,-1.589575,-0.05358847,0.886594630,-0.71023704,-1.471722,1.32185035,-0.78665925,2.29129e-9,0.1576724,-0.4363864,-0.04408159,-0.003433888,0.03205905,0.02487355,0.07332279,-0.001600573,0.6424706,-0.4162601,-0.06689957,0.2791795,-0.6966051,-0.002860589,-0.008098836,3.150547,0.007224479,-0.7057529,0.5349792,-0.07931491,-1.418465,-5.99905e-17,0.1058402,0.03431729,-0.007022847,0.02495587,0.04296818,0.7465453,-0.2919613,7.294616,-9.936757,-0.005399808,-0.2432567,0.04987016,0.003733797,1.874951,0.002168144,-0.6587164,0.000205518,0.009776195,-0.02048708,0.01557322,0.006862415,-0.001226752,0.002850908 };//an
double un[58] = { 0.0,0.5,1.0,3.5,-0.5,4.5,0.5,7.5,9.5,6.0,12.0,12.5,-6.0,2.0,3.0,2.0,2.0,11.0,-0.5,0.5,0,4,6,21,23,22,-1,-0.5,7,-1,6,4,1,9,-13,21,8,-0.5,0,2,7,9,22,23,1,9,3,8,23,1.5,5,-0.5,4,7,3,0,1,0 };//un
double un_2[10] = { 0.0,0.5,1.0,3.5,-0.5,4.5,2.0,3.0,2.0,11.0 };
u8 bn[58] = { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 9 };//bn
u8 cn[58] = { 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,1,1 };//cn
u8 kn[58] = { 0,0,0,0,0,0,0,0,0,0,0,0,3,2,2,2,4,4,0,0,2,2,2,4,4,4,4,0,1,1,2,2,3,3,4,4,4,0,0,2,2,2,4,4,0,2,2,4,4,0,2,0,2,1,2,2,2,2 };//kn
u8 gn[58] = { 0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0 };//gn
u8 qn[58] = { 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1 };//qn
u8 fn[58] = { 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };//fn
//21种识别组分的特种参数Gi,Qi
double Gi[21] = { 0,0.027815,0.189065,0.0793,0.141239,0.3325,0.0885,0.034369,0.038953,0.021,0.256692,0.281835,0.332267,0.366911,0.289731,0.337542,0.383381,0.427354,0.469659,0,0 };//Gi
double Qi[21] = { 0,0,0.69,0,0,1.06775,0.633276,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };//Qi
/***********************************B备用查表数据**************************************/
double B_parameter[10][21][21] = {
{
{0.0151622688, 0.0144777187, 0.0148591761, 0.0185250577, 0.0215399907, 0.0114288165, 0.0151573849, 0.0100641873, 0.0147439324, 0.0130843927, 0.0247674883, 0.0243885720, 0.0267152092, 0.0270711962, 0.0293528218, 0.0315269824,0.0335871711, 0.0355517478, 0.0374327846, 0.0103878970, 0.0132233753},
{0.0144777187, 0.0138240747, 0.0141883100, 0.0176886835, 0.0205674974, 0.0109128252, 0.0144730552, 0.0096098067, 0.0140782693, 0.0124936550, 0.0236492791, 0.0232874702, 0.0255090638, 0.0258489785, 0.0280275927, 0.0301035937,0.0320707685, 0.0339466479, 0.0357427591, 0.0099189015, 0.0126263628},
{0.0148591761, 0.0141883100, 0.0145621422, 0.0181547431, 0.0211094077, 0.0112003552, 0.0148543898, 0.0098630049, 0.0144492022, 0.0128228366, 0.0242723879, 0.0239010461, 0.0261811740, 0.0265300448, 0.0287660609, 0.0308967602,0.0329157658, 0.0348410708, 0.0366845057, 0.0101802437, 0.0129590409},
{0.0185250577, 0.0176886835, 0.0181547431, 0.0226336683, 0.0263172732, 0.0139635755, 0.0185190906, 0.0122962898, 0.0180139398, 0.0159863364, 0.0302605867, 0.0297976318, 0.0326402861, 0.0330752262, 0.0358628860, 0.0385192464,0.0410363575, 0.0434366510, 0.0457348766, 0.0126917940, 0.0161561434},
{0.0215399907, 0.0205674974, 0.0211094077, 0.0263172732, 0.0306003807, 0.0162361322, 0.0215330524, 0.0142974975, 0.0209456889, 0.0185880952, 0.0351854642, 0.0346471639, 0.0379524571, 0.0384581832, 0.0416995316, 0.0447882117,0.0477149799, 0.0505059186, 0.0531781779, 0.0147573696, 0.0187855382},
{0.0114288165, 0.0109128252, 0.0112003552, 0.0139635755, 0.0162361322, 0.0086146637, 0.0114251351, 0.0075860514, 0.0111134883, 0.0098625822, 0.0186689131, 0.0183832985, 0.0201370406, 0.0204053718, 0.0221251857, 0.0237639960,0.0253168981, 0.0267977310, 0.0282155942, 0.0078300530, 0.0099673427},
{0.0151573849, 0.0144730552, 0.0148543898, 0.0185190906, 0.0215330524, 0.0114251351, 0.0151525025, 0.0100609455, 0.0147391832, 0.0130801781, 0.0247595104, 0.0243807161, 0.0267066039, 0.0270624762, 0.0293433669, 0.0315168272,0.0335763523, 0.0355402961, 0.0374207270, 0.0103845509, 0.0132191159},
{0.0100641873, 0.0096098067, 0.0098630049, 0.0122962898, 0.0142974975, 0.0075860514, 0.0100609455, 0.0066802579, 0.0097865101, 0.0086849654, 0.0164397984, 0.0161882869, 0.0177326278, 0.0179689196, 0.0194833835, 0.0209265157,0.0222939974, 0.0235980152, 0.0248465820, 0.0068951252, 0.0087772171},
{0.0147439324, 0.0140782693, 0.0144492022, 0.0180139398, 0.0209456889, 0.0111134883, 0.0147391832, 0.0097865101, 0.0143371381, 0.0127233862, 0.0240841378, 0.0237156760, 0.0259781199, 0.0263242849, 0.0285429591, 0.0306571333,0.0326604801, 0.0345708528, 0.0363999906, 0.0101012884, 0.0128585341},
{0.0130843927, 0.0124936550, 0.0128228366, 0.0159863364, 0.0185880952, 0.0098625822, 0.0130801781, 0.0086849654, 0.0127233862, 0.0112912741, 0.0213732884, 0.0210462997, 0.0230540886, 0.0233612902, 0.0253302360, 0.0272064441,0.0289842992, 0.0306796453, 0.0323029000, 0.0089643130, 0.0114112101},
{0.0247674883, 0.0236492791, 0.0242723879, 0.0302605867, 0.0351854642, 0.0186689131, 0.0247595104, 0.0164397984, 0.0240841378, 0.0213732884, 0.0404575650, 0.0398386071, 0.0436391571, 0.0442206599, 0.0479476838, 0.0514991639,0.0548644716, 0.0580735975, 0.0611462614, 0.0169685765, 0.0216003156},
{0.0243885720, 0.0232874702, 0.0239010461, 0.0297976318, 0.0346471639, 0.0183832985, 0.0243807161, 0.0161882869, 0.0237156760, 0.0210462997, 0.0398386071, 0.0392291186, 0.0429715242, 0.0435441307, 0.0472141350, 0.0507112813,0.0540251033, 0.0571851329, 0.0602107884, 0.0167089752, 0.0212698537},
{0.0267152092, 0.0255090638, 0.0261811740, 0.0326402861, 0.0379524571, 0.0201370406, 0.0267066039, 0.0177326278, 0.0259781199, 0.0230540886, 0.0436391571, 0.0429715242, 0.0470709503, 0.0476981827, 0.0517183005, 0.0555490699,0.0591790261, 0.0626405183, 0.0659548173, 0.0183029892, 0.0232989693},
{0.0270711962, 0.0258489785, 0.0265300448, 0.0330752262, 0.0384581832, 0.0204053718, 0.0270624762, 0.0179689196, 0.0263242849, 0.0233612902, 0.0442206599, 0.0435441307, 0.0476981827, 0.0483337730, 0.0524074599, 0.0562892753,0.0599676016, 0.0634752191, 0.0668336819, 0.0185468811, 0.0236094340},
{0.0293528218, 0.0280275927, 0.0287660609, 0.0358628860, 0.0416995316, 0.0221251857, 0.0293433669, 0.0194833835, 0.0285429591, 0.0253302360, 0.0479476838, 0.0472141350, 0.0517183005, 0.0524074599, 0.0568244870, 0.0610334711,0.0650218156, 0.0688250636, 0.0724665857, 0.0201100570, 0.0255992940},
{0.0315269824, 0.0301035937, 0.0308967602, 0.0385192464, 0.0447882117, 0.0237639960, 0.0315168272, 0.0209265157, 0.0306571333, 0.0272064441, 0.0514991639, 0.0507112813, 0.0555490699, 0.0562892753, 0.0610334711, 0.0655542143,0.0698379751, 0.0739229292, 0.0778341786, 0.0215996069, 0.0274954312},
{0.0335871711, 0.0320707685, 0.0329157658, 0.0410363575, 0.0477149799, 0.0253168981, 0.0335763523, 0.0222939974, 0.0326604801, 0.0289842992, 0.0548644716, 0.0540251033, 0.0591790261, 0.0599676016, 0.0650218156, 0.0698379751,0.0744016661, 0.0787535591, 0.0829203962, 0.0230110730, 0.0292921707},
{0.0355517478, 0.0339466479, 0.0348410708, 0.0434366510, 0.0505059186, 0.0267977310, 0.0355402961, 0.0235980152, 0.0345708528, 0.0306796453, 0.0580735975, 0.0571851329, 0.0626405183, 0.0634752191, 0.0688250636, 0.0739229292,0.0787535591, 0.0833600026, 0.0877705658, 0.0243570338, 0.0310055248},
{0.0374327846, 0.0357427591, 0.0366845057, 0.0457348766, 0.0531781779, 0.0282155942, 0.0374207270, 0.0248465820, 0.0363999906, 0.0323029000, 0.0611462614, 0.0602107884, 0.0659548173, 0.0668336819, 0.0724665857, 0.0778341786,0.0829203962, 0.0877705658, 0.0924144911, 0.0256457602, 0.0326460217},
{0.0103878970, 0.0099189015, 0.0101802437, 0.0126917940, 0.0147573696, 0.0078300530, 0.0103845509, 0.0068951252, 0.0101012884, 0.0089643130, 0.0169685765, 0.0167089752, 0.0183029892, 0.0185468811, 0.0201100570, 0.0215996069,0.0230110730, 0.0243570338, 0.0256457602, 0.0071169035, 0.0090595320},
{0.0132233753, 0.0126263628, 0.0129590409, 0.0161561434, 0.0187855382, 0.0099673427, 0.0132191159, 0.0087772171, 0.0128585341, 0.0114112101, 0.0216003156, 0.0212698537, 0.0232989693, 0.0236094340, 0.0255992940, 0.0274954312,0.0292921707, 0.0310055248, 0.0326460217, 0.0090595320, 0.0115324201},
},//0
{
{1.6270423042, 1.3798425670, 1.7574133431, 2.2404897804, 2.7310919832, 1.4011692682, 1.8570638323, 0.7591045528, 1.4386967884, 1.3325561105, 3.2464079944, 3.1823259271, 3.5783398311, 3.6329605892, 4.2331867472, 4.1171162066,4.4432222221, 4.7560428151, 5.0569967858, 0.4039747013, 1.3380244411},
{1.3798425670, 1.2043559055, 1.5601031143, 1.8986009642, 2.2914692047, 1.2380325196, 1.5724818171, 0.6291715339, 1.2474938883, 1.1584475540, 2.6917601782, 2.7150721940, 3.0118695827, 3.0404163349, 3.4611297266, 3.7740943335,4.0728154923, 4.3593254076, 4.6349285621, 0.3475619053, 1.1511768497},
{1.7574133431, 1.5601031143, 1.9759980846, 2.3747621175, 2.9572464148, 1.690604548, 2.0722706615, 0.8754159467, 1.9514773201, 1.4685182302, 3.3741502734, 3.3391732619, 3.3566826989, 3.7136687395, 4.0996879452, 4.4074655945,4.6902884052, 4.9514866744, 5.1932368741, 0.4451926705, 1.4745445004},
{2.2404897804, 1.8986009642, 2.3747621175, 3.0852267598, 3.8132298241, 1.9088442676, 2.5782715842, 1.0426020788, 1.9909858061, 1.8349727845, 4.4273842589, 4.4332577897, 4.9217098553, 5.0178304213, 5.5396713328, 6.0405832310,6.5186979422, 6.9772680884, 7.4183815440, 0.5562862057, 1.8425028523},
{2.7310919832, 2.2914692047, 2.9572464148, 3.8132298241, 4.6090357035, 2.8022878047, 3.2385062967, 1.2012773057, 2.4334905009, 2.2428029506, 5.4113884211, 5.3967004960, 6.0155798922, 6.1168145012, 6.7708858221, 7.3831274273,7.9675050780, 8.5279943047, 9.0671470203, 0.6799230779, 2.2520066066},
{1.4011692682, 1.2380325196, 1.6910604548, 1.9088442676, 2.8022878047, 1.7037873962, 1.9690076806, 0.7179934047, 1.4795591078, 1.3636213215, 3.2901172293, 3.2731775044, 3.6574648699, 3.7190153825, 4.1166899079, 4.4889320197,4.8442328829, 5.1850096149, 5.5128137754, 0.4133923605, 1.3692171325},
{1.8570638323, 1.5724818171, 2.0722706615, 2.5782715842, 3.2385062967, 1.9690076806, 2.2755135148, 0.8297599405, 1.7098748669, 1.5758896101, 3.8022737516, 3.7826971022, 4.2268046100, 4.2979363910, 4.7781463976, 5.2139013808,5.6304120714, 6.0304250457, 6.4156899407, 0.4777431356, 1.5823564938},
{0.7591045528, 0.6291715339, 0.8754159467, 1.0426020788, 1.2012773057, 0.7179934047, 0.8297599405, 0.3025697516, 0.6539336956, 0.5746439477, 1.5808406771, 1.5727014515, 1.5412930395, 1.5672310539, 1.7348151593, 1.8916817858,2.0414091973, 2.1850159915, 2.3231560117, 0.1742077615, 0.5770020796},
{1.4386967884, 1.2474938883, 1.9514773201, 1.9909858061, 2.4334905009, 1.4795591078, 1.7098748669, 0.6539336956, 1.2848405608, 1.1841608585, 2.8571187482, 2.8424083892, 3.1761213119, 3.2295714206, 3.5749096754, 3.8981625696,4.2067037816, 4.5026323221, 4.7872955568, 0.3589875319, 1.1890202284},
{1.3325561105, 1.1584475540, 1.4685182302, 1.8349727845, 2.2428029506, 1.3636213215, 1.5758896101, 0.5746439477, 1.1841608585, 1.0913703861, 2.6332358216, 2.6196781617, 2.9272414448, 2.9765032197, 3.2947808775, 3.5927037766,3.8770677962, 4.1498074694, 4.4121645825, 0.3308573818, 1.0958489773},
{3.2464079944, 2.6917601782, 3.3741502734, 4.4273842589, 5.4113884211, 3.2901172293, 3.8022737516, 1.5808406771, 2.8571187482, 2.6332358216, 6.3534167508, 6.3207051103, 7.0627874178, 7.1816452062, 7.9495789347, 8.6684011236,9.3545087297, 10.0125693538, 10.6455791523, 0.7982858254, 2.6440416735},
{3.1823259271, 2.7150721940, 3.3391732619, 4.4332577897, 5.3967004960, 3.2731775044, 3.7826971022, 1.5727014515, 2.8424083892, 2.6196781617, 6.3207051103, 6.2881618911, 7.0264234624, 7.1446692914, 7.9086491832, 8.6237703946,9.3063454596, 9.9610179473, 10.5907685878, 0.7941757158, 2.6304283778},
{3.5783398311, 3.0118695827, 3.3566826989, 4.9217098553, 6.0155798922, 3.6574648699, 4.2268046100, 1.5412930395, 3.1761213119, 2.9272414448, 7.0627874178, 7.0264234624, 7.8513606245, 7.9834891037, 8.8371640455, 9.6362440541,10.3989568364, 11.1304911396, 11.8341776466, 0.8874159062, 2.9392537899},
{3.6329605892, 3.0404163349, 3.7136687395, 5.0178304213, 6.1168145012, 3.7190153825, 4.2979363910, 1.5672310539, 3.2295714206, 2.9765032197, 7.1816452062, 7.1446692914, 7.9834891037, 8.1178411382, 8.9858823507, 9.7984098662,10.5739581409, 11.3178032422, 12.0333319039, 0.9023499947, 2.9887177175},
{4.2331867472, 3.4611297266, 4.0996879452, 5.5396713328, 6.7708858221, 4.1166899079, 4.7781463976, 1.7348151593, 3.5749096754, 3.2947808775, 7.9495789347, 7.9086491832, 8.8371640455, 8.9858823507, 9.9467432592, 10.8461543879,11.7046320836, 12.5280165836, 13.3200567657, 0.9988383307, 3.3083014722},
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},//1
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},//2
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},//3
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},//4
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{400952372380230865649664.0000000000,17154176584549308301312.0000000000,1432189806264071554596864.0000000000,5502505052274634715561984.0000000000,19182645639551195648360448.0000000000,203655621751501077891514368.0000000000,13065234158918638080360448.0000000000,292050494544926146560.0000000000,43432529973674759946240.0000000000,88556871832870737412096.0000000000,34907031214563395993862144.0000000000,43072540561020586484039680.0000000000,73083182340891979083153408.0000000000,79899325017146020599955456.0000000000,136520040163425928433631232.0000000000,204456139706254368771670016.0000000000,289129467158439512634294272.0000000000,391015885829270659345154048.0000000000,510155161434726759346995200.0000000000,44532543806694.7500000000,77622278426213300043776.0000000000},
{ 357449390432414725046272.0000000000,28666044648569891192832.0000000000,1574156158012398510276608.0000000000,7831318205890716330098688.0000000000,24977409088634161389895680.0000000000,251295075036678804085932032.0000000000,16121474919771229067935744.0000000000,360367419813812764672.0000000000,53592337814691136929792.0000000000,109272238894582851436544.0000000000,43072540561020586484039680.0000000000,53148139094875187940687872.0000000000,90178918864724948540194816.0000000000,98589504688768690790858752.0000000000,168455029337414613761785856.0000000000,252282851449516675274113024.0000000000,356763100964383848585494528.0000000000,482482955908266321571217408.0000000000,629491484057910147675062272.0000000000,54949668667297.9453125000,95779807666858610393088.0000000000 },
{ 696322710493608556888064.0000000000,41453058617321076031488.0000000000,260615859233458822840320.0000000000,11520331751939180756729856.0000000000,40161788048911562522492928.0000000000,426384038439885505164214272.0000000000,27354056106734569660612608.0000000000,34118160375774912512.0000000000,90932611486823904968704.0000000000,185407288632455628587008.0000000000,73083182340891979083153408.0000000000,90178918864724948540194816.0000000000,153010764743686044960948224.0000000000,167281396783639579443855360.0000000000,285825481036237754937114624.0000000000,428060044608808478367023104.0000000000,605336542044555552294436864.0000000000,818651265603007009504886784.0000000000,1068087470862500559205695488.0000000000,93235657857108.2812500000,162514053202315455758336.0000000000 },
{ 735909922620448050249728.0000000000,38633323887968173162496.0000000000,1823550656248622992064512.0000000000,13351750072087073328726016.0000000000,43907499014232950056157184.0000000000,466150977259372244593803264.0000000000,29905246999436539983822848.0000000000,37300209125210398720.0000000000,99413490862430621794304.0000000000,202699400060246136193024.0000000000,79899325017146020599955456.0000000000,98589504688768690790858752.0000000000,167281396783639579443855360.0000000000,182882987068007646710726656.0000000000,312483149693365434164707328.0000000000,467983297053506136738627584.0000000000,661793583262057319920304128.0000000000,895003220316997056360087552.0000000000,1167703228673371568169025536.0000000000,101931332102712.0781250000,177671014599486659887104.0000000000 },
{ 3888501769893167759360000.0000000000,122246787707884957335552.0000000000,2936129627753083213709312.0000000000,21520083049130304049512448.0000000000,75022580323579990475014144.0000000000,796489208438407932630007808.0000000000,56201127882941273185714176.0000000000,63733029619275743232.0000000000,169862933916061431496704.0000000000,346342478254838084796416.0000000000,136520040163425928433631232.0000000000,168455029337414613761785856.0000000000,285825481036237754937114624.0000000000,312483149693365434164707328.0000000000,533924562408723634001543168.0000000000,799620002995604721047175168.0000000000,1130774090362408307045433344.0000000000,1529247907386593844056293376.0000000000,1995196976235296303133753344.0000000000,174165045193905.2187500000,303577709120738887204864.0000000000 },
{ 470396596320771602644992.0000000000,183080127110452799864832.0000000000,3219071400393841643094016.0000000000,32229063960984125735698432.0000000000,112355864717002016062177280.0000000000,1192843985982318631240859648.0000000000,85493970482088705339162624.0000000000,95448325331158417408.0000000000,254391367788072525627392.0000000000,518691952005828860444672.0000000000,204456139706254368771670016.0000000000,252282851449516675274113024.0000000000,428060044608808478367023104.0000000000,467983297053506136738627584.0000000000,799620002995604721047175168.0000000000,1197532749394719120155475968.0000000000,1693478152501207553093402624.0000000000,2290243420847559108898848768.0000000000,2988061468677662382810464256.0000000000,260834327103069.2187500000,454646266096855935877120.0000000000 },
{ 665979262411841659207680.0000000000,258900807159890516639744.0000000000,3346976982938703120826368.0000000000,45576386717672007331217408.0000000000,158886846559975271819116544.0000000000,1686847587779564057456017408.0000000000,122723044387427785904226304.0000000000,134977230245138137088.0000000000,359744836833687491313664.0000000000,733502686288997844516864.0000000000,289129467158439512634294272.0000000000,356763100964383848585494528.0000000000,605336542044555552294436864.0000000000,661793583262057319920304128.0000000000,1130774090362408307045433344.0000000000,1693478152501207553093402624.0000000000,2394814049510075261645750272.0000000000,3238723282578538981616517120.0000000000,4225535224897964528516464640.0000000000,368856078962902.8750000000,642933163323033766592512.0000000000 },
{ 901721567578735343828992.0000000000,350134939369782772760576.0000000000,3342012515714448469524480.0000000000,61637063148399785127444480.0000000000,214877029535779362328018944.0000000000,2281276309457417742485291008.0000000000,168367536586495435363844096.0000000000,182541896437564669952.0000000000,486515426564762895384576.0000000000,991981915424321276215296.0000000000,391015885829270659345154048.0000000000,482482955908266321571217408.0000000000,818651265603007009504886784.0000000000,895003220316997056360087552.0000000000,1529247907386593844056293376.0000000000,2290243420847559108898848768.0000000000,3238723282578538981616517120.0000000000,4380017940542058145735770112.0000000000,5714572835846058752960626688.0000000000,498837382009753.8750000000,869496571402763416633344.0000000000 },
{ 1177850013535125851078656.0000000000,456818131926542555545600.0000000000,3230343509475250271158272.0000000000,80417361647971300674633728.0000000000,280348266308810834423316480.0000000000,2976362153318293105083940864.0000000000,222711867121178418480152576.0000000000,238160888139383799808.0000000000,634752614854125212925952.0000000000,1294230522451426071805952.0000000000,510155161434726759346995200.0000000000,629491484057910147675062272.0000000000,1068087470862500559205695488.0000000000,1167703228673371568169025536.0000000000,1995196976235296303133753344.0000000000,2988061468677662382810464256.0000000000,4225535224897964528516464640.0000000000,5714572835846058752960626688.0000000000,7455755464816249727940034560.0000000000,650828967240421.3750000000,1134424916804015652601856.0000000000 },
{ 413482631709.4283447266,39876639519.8259811401,5356491313500.0185546875,7019804857674.2792968750,24472204525809.5976562500,259813068644595.0937500000,16667934576001.0566406250,20789577.3401195370,55408924116.1624145508,112976172337.3327636719,44532543806694.7500000000,54949668667297.9453125000,93235657857108.2812500000,101931332102712.0781250000,174165045193905.2187500000,260834327103069.2187500000,368856078962902.8750000000,498837382009753.8750000000,650828967240421.3750000000,56.8122635725,99026396520.0410003662 },
{ 720719303668604469248.0000000000,69506822447550070784.0000000000,9336611488643187474432.0000000000,12235843735433798221824.0000000000,42656181547842777645056.0000000000,452866165486549553119232.0000000000,29052978964425540108288.0000000000,36237192460033200.0000000000,96580311102621089792.0000000000,196922680697570426880.0000000000,77622278426213300043776.0000000000,95779807666858610393088.0000000000,162514053202315455758336.0000000000,177671014599486659887104.0000000000,303577709120738887204864.0000000000,454646266096855935877120.0000000000,642933163323033766592512.0000000000,869496571402763416633344.0000000000,1134424916804015652601856.0000000000,99026396520.0410003662,172607577855628050432.0000000000 },
},//9
};
/***********************************Cn备用查表数据**************************************/
double G_parameter[5] = { -0.0363660856,0.0329017874,-0.0037420475,-0.1689905140,0.3510601859 };
double U_parameter[5][21] = {
{0.0000000000,-25391013744.3937149048,-86310240377.6772766113,0.0000000000,-38718085288.1167297363,0.0000000000,-666720964716.5777587891,2269816148.8121738434,0.0000000000,0.0000000000,0.0000000000,-44788032589.9178314209,0.0000000000,27547807216.1404342651,5039087832841.8417968750,2995689555258.2099609375,3754431387809.7421875000,4603091791015.8867187500,5543018312163.9218750000,0.0000000000,0.0000000000},//0
{0.0000000000,0.0000000000,-107470243964.2712249756,-117953505585.1495361328,-108809040722.9046783447,0.0000000000,-9672243220.1675300598,-741151126.5598329306,0.0000000000,0.0000000000,0.0000000000,-13238501176.7329788208,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000},//1
{0.0000000000,0.0000000000,0.0000000000,-240663535988.1365356445,0.0000000000,0.0000000000,682684292859.8858642578,0.0000000000,-85338571267.9475402832,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,2245419311011.2460937500,3123824398310.1816406250,4121292988955.0517578125,5239693675482.9169921875,6471965236487.2861328125,0.0000000000,0.0000000000},//2
{0.0000000000,0.0000000000,0.0000000000,0.0000000000,1061268868686.8830566406,0.0000000000,-373826011696.9307250977,70604653742.1654663086,0.0000000000,0.0000000000,7227124942863.5957031250,8007618369632.9199218750,9769837631954.6894531250,10112925271189.3671875000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000},//3
{0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,1509970906021.8959960938,2065733830868.5844726563,2693191848950.5102539063,3385383929158.1000976563,4136233065586.8261718750,0.0000000000,0.0000000000},//4
};
double E_parameter[21] = { 281662.2432413514,99345.7386737830,910671.2623176961,931571.2651129460,1534516.5971602199,5990192.0896887286,1511926.3891073761,3773.2602105546,114416.6501792414,166994.2259667306,1890572.7222240157,2094745.1412967329,2555731.1757519767,2645480.8531406047,3252986.7725805528,3783603.0895332978,4303434.5005244063,4810446.9788612965,5302872.7649037028,11.0064544942,156530.6357943879};
/***********************************K备用查表数据**************************************/
double KK_parameter[21] = { 0.1450206489,0.1342733250,0.1402213270,0.2024986533,0.2603546712,0.0905367613,0.1449428023,0.0732465842,0.1384134857,0.1134345817,0.3285686580,0.3202335344,0.3727524342,0.3810675184,0.4360864769,0.4912397820,0.5458984993,0.6001471975,0.6539979898,0.0772151018,0.1154498556 };
double K_parameter[5][21] = {
{0.0000000000,0.0007119987,-0.0008203242,0.0000000000,0.0029208611,0.0000000000,0.0000168185,0.0025883829,0.0000000000,0.0000000000,0.0000000000,-0.0011110741,0.0000000000,0.0014046796,-0.0104141249,-0.0113297016,-0.0132248981,-0.0152343279,-0.0173562352,0.0000000000,0.0000000000},//0
{0.0000000000,0.0000000000,-0.0032059559,0.0021990689,0.0000000000,0.0000000000,-0.0099608499,0.0033853274,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000}, //1
{0.0000000000,0.0000000000,0.0000000000,0.0024578613,0.0000000000,0.0000000000,0.0016081051,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,-0.0459030667,-0.0584905665,-0.0717708355,-0.0856080495,-0.0998982694,0.0000000000,0.0000000000}, //2
{0.0000000000,0.0000000000,0.0000000000,0.0000000000,-0.0067314178,0.0000000000,-0.0000090982,0.0031421460,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000}, //3
{0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,-0.0189005387,-0.0245455066,-0.0306699982,-0.0376178477,-0.0441663813,0.0000000000,0.0000000000}, //4
};
#endif
//aga8.h：进行一些函数的声明
#ifndef __AGA8_H
#define __AGA8_H
#include "sys.h"
#include //aga8.c：AGA8计算函数，经过极度优化
#include "aga8.h"
#include "aga8_font.h"
#include "usart.h"
#include "delay.h"
double XIXI[NUM][NUM] = { 0 }; //定义XIXI计算结果
double XIXJ[NUM][NUM] = { 0 }; //定义XIXJ计算结果
double Cn[58] = { 0 }; //定义Cn计算结果
double A2_parameter[58] = { 0 };
double A3_parameter[58] = { 0 };
double A4_parameter[58] = { 0 };
double Calculate_Z(float Temperature,float Pressure,float x[])//入口参数为：温度，压力，气体组分
{
u8 n, i, j;
double K1 = 0,A1 = 0,B_total = 0;
double G = 0, Q = 0, F = 0, U_5 = 0, U = 0; //计算Cn所用参数
double g_n=0,q_n=0,f_n=0,u_n=0,k_n=0;
double a = 0, b = 0, c = 0, d=0, f_c=0, Z=0;
d = Pressure/(R*Temperature); //计算d
a = 0.833f*d; //计算a
b = 2.5f*d; //计算b
c = 1.6665f*d; //计算c=(a+b)/2
for (i = 0; i < NUM; i++)
{
if(x[i]==0)continue;
if(i<7&&Qi[i]!=0)Q = Q + x[i] * Qi[i]; //求出Q(注意此处取x为0到7)
K1 = K1 + x[i] * KK_parameter[i]; //计算求出K的中间数
G = G + x[i] * Gi[i]; //求出G
U = U + x[i] * E_parameter[i];
for (j = 0; j < NUM; j++)
{
if(x[j]==0)continue;
XIXI[i][j] = x[i] * x[j]; //计算得出XIXI计算结果
for (n = 0; n < 10; n++)
B_total = B_total + (pow(Temperature, -un_2[n]))*XIXI[i][j] * B_parameter[n][i][j];//计算得出B的中间值
}
if(i < NUM - 1)
for (n = i + 1; n < NUM; n++)
{
if(x[n]==0)continue;
XIXJ[i][n] = x[i] * x[n]; //计算得出XIXJ计算结果
}
}
K1 = K1 * K1;
for (i = 0; i < 4; i++)
{
if(x[i]==0)continue;
for (j = i + 1; j < NUM; j++)
{
if(x[j]==0)continue;
if(K_parameter[i][j]!=0)
K1 = K1 + XIXJ[i][j] * K_parameter[i][j];
if(U_parameter[i][j]==0)continue;
U_5 = U_5 + XIXJ[i][j] * U_parameter[i][j];
}
}
K1 = K1 + XIXJ[6][14] * K_parameter[4][14] + XIXJ[6][15] * K_parameter[4][15] + XIXJ[6][16] * K_parameter[4][16] + XIXJ[6][17] * K_parameter[4][17] + XIXJ[6][18] * K_parameter[4][18];
K1 = pow(K1, 0.2);
B_total = B_total + (pow(Temperature, -un[6]))*(XIXI[2][2] * b_parameter[0] + XIXI[2][5] * b_parameter[1] + XIXI[2][6] * b_parameter[2] + XIXI[5][5] * b_parameter[3] + XIXI[5][6] * b_parameter[4] + XIXI[6][6] * b_parameter[5])+(pow(Temperature, -un[7]))*(XIXI[5][5] * b_parameter[6] + XIXI[5][6] * 2*b_parameter[7] + XIXI[6][6] * b_parameter[8])+(pow(Temperature, -un[8]))*(XIXI[5][5] * b_parameter[9] + XIXI[5][6] * 2 *b_parameter[10] + XIXI[6][6] * b_parameter[11])+(pow(Temperature, -un[9]))*(XIXI[5][5] * b_parameter[12])+(pow(Temperature, -un[10]))*(XIXI[5][5] * b_parameter[13])+(pow(Temperature, -un[11]))*(XIXI[5][5] * b_parameter[14])+(pow(Temperature, -un[12]))*(XIXI[7][7] * b_parameter[15])+(pow(Temperature, -un[15]))*(XIXI[2][2] * b_parameter[16] + XIXI[2][5] * b_parameter[17] + XIXI[2][6] * (-243.30260054) + XIXI[5][5] * b_parameter[18] + XIXI[5][6] * b_parameter[19] + XIXI[6][6] * b_parameter[20]);
G = G + XIXJ[0][2] * G_parameter[0] + XIXJ[0][7] * G_parameter[1] + XIXJ[1][2] * G_parameter[2] + XIXJ[2][3] * G_parameter[3] + XIXJ[2][5] * G_parameter[4];
U_5 = U_5 + XIXJ[6][14] * U_parameter[4][14] + XIXJ[6][15] * U_parameter[4][15] + XIXJ[6][16] * U_parameter[4][16] + XIXJ[6][17] * U_parameter[4][17] + XIXJ[6][18] * U_parameter[4][18];
F = x[7]*x[7]; //求出F(注意此处取x=7)
U = pow(U * U + U_5, 0.2); //求出U
for (n = 12; n < 58; n++)
{
if(gn[n]==0)g_n=1;else g_n=pow(G + 1 - gn[n], gn[n]);
if(qn[n]==0)q_n=1;else q_n=pow(Q*Q + 1 - qn[n], qn[n]);
if(fn[n]==0)f_n=1;else f_n=pow(F + 1 - fn[n], fn[n]);
if(un[n]==0)u_n=1;else u_n=pow(U, un[n])* pow(Temperature, -un[n]);
Cn[n] = an[n]*g_n*q_n*f_n*u_n;
if(n<18)A1=A1+Cn[n];
A2_parameter[n] = Cn[n] *pow(K1, 3 * bn[n]);
if(cn[n]==0)
{
f_c = f_c + c * A2_parameter[n]*bn[n]*pow(c, bn[n]);
}
else if(kn[n]==0)
{
A4_parameter[n] = -1;
f_c = f_c+c * A2_parameter[n] * bn[n] * pow(c, bn[n])*exp(-1);
}
else
{
k_n=pow(K1, 3 * kn[n]);
A3_parameter[n] = kn[n] * k_n;
A4_parameter[n] = -k_n;
k_n=pow(c,kn[n]);
f_c = f_c+c * A2_parameter[n]*(bn[n] - A3_parameter[n] * k_n)*pow(c, bn[n])*exp(A4_parameter[n]*k_n);
}
}
A1 = B_total - K1*K1*K1*A1;
f_c = f_c + c + A1 * c*c;
while((f_c - d) < -1e-6 || (f_c - d) > 1e-6) //当在范围外时进行二分法循环
{
if (f_c > d )
b = c;
else a = c;
c = (a + b) / 2;
f_c=c + A1 * c*c;
for (n = 12; n < 58; n++)
{
if(kn[n]==0)k_n=1;else k_n=pow(c,kn[n]);
f_c = f_c + c * A2_parameter[n]*(bn[n] - A3_parameter[n] * k_n)*pow(c, bn[n])*exp(A4_parameter[n]*k_n);
}
}
Z=d / c; //计算出压缩因子Z值
for (i = 0; i < NUM; i++) //清除X存储数组，供下一次调用
for (j = 0; j < NUM; j++)
{
XIXI[i][j] = 0;
XIXJ[i][j] = 0;
}
return Z;
}
//main.c:主函数
float table[6][21] = {
{0.965,0.003,0.006,0.018,0.0045,0,0,0,0,0,0.001,0.001,0.0005,0.0003,0.0007,0,0,0,0,0,0},//1
{0.907,0.031,0.005,0.045,0.0084,0,0,0,0,0,0.001,0.0015,0.0003,0.0004,0.0004,0,0,0,0,0,0},//2
{0.859,0.01,0.015,0.085,0.023,0,0,0,0,0,0.0035,0.0035,0.0005,0.0005,0,0,0,0,0,0,0},//3
{0.735,0.1,0.016,0.033,0.0074,0,0,0.095,0.01,0,0.0012,0.0012,0.0004,0.0004,0.0002,0.0001,0.0001,0,0,0,0},//4
{0.812,0.057,0.076,0.043,0.009,0,0,0,0,0,0.0015,0.0015,0,0,0,0,0,0,0,0,0},//5
{0.826,0.117,0.011,0.035,0.0075,0,0,0,0,0,0.0012,0.0012,0.0004,0.0004,0.0002,0.0001,0,0,0,0,0},//6
}; //定义6种气体组分
int main(void)
{
u8 i=0;
float T=280; //定义绝对温度
float P=12; //定义绝对压力
float x[21] = { 0 };
double Z=0;
for (i = 0; i < 21; i++)
x[i] = table[0][i]; //获得当前气体组分
Z=Calculate_Z(T,P,x); //调用函数计算得出Z
printf("Z=%.6lf\r\n",Z);
while(1)
{
}
}
小结：经过优化，AGA8算法的计算速率大大提高，计算结果精度不变。后期可结合FPU和DSP进一步提高AGA8算法在单片机上的执行速率！