/gongshi.lua
Lua | 274 lines | 237 code | 27 blank | 10 comment | 70 complexity | cc90d3f49313a5f4d623137e570dbea1 MD5 | raw file
1-- encoding: UTF-8 2 3------------------------------------------------ 4-- ?????????? 5-- ??: 0.1 6-- ??: Mike 7-- ????: http://code.google.com/p/google-pinyin-api/ 8-- 9-- ?????GPLv3?? 10------------------------------------------------ 11 12function liangjiaohe (input) 13 if input == "a" then 14 return { 15 {["suggest"] = "a", ["help"] = "sin(A+B)"}, 16 {["suggest"] = "b", ["help"] = "sin(A-B)"}, 17 {["suggest"] = "c", ["help"] = "cos(A+B)"}, 18 {["suggest"] = "d", ["help"] = "cos(A-B)"}, 19 {["suggest"] = "e", ["help"] = "tan(A+B)"}, 20 {["suggest"] = "f", ["help"] = "tan(A-B)"}, 21 {["suggest"] = "g", ["help"] = "ctg(A+B)"}, 22 {["suggest"] = "h", ["help"] = "ctg(A-B)"}, 23 } 24 end 25end 26 27 28function beijiao (input) 29 if input == "b" then 30 return { 31 {["suggest"] = "a", ["help"] = "sin2A"}, 32 {["suggest"] = "b", ["help"] = "cos2A"}, 33 {["suggest"] = "c", ["help"] = "tag2A)"}, 34 {["suggest"] = "d", ["help"] = "ctg2A"}, 35 } 36 end 37end 38 39 40function banjiao (input) 41 if input == "c" then 42 return { 43 {["suggest"] = "a", ["help"] = "sin(A/2)"}, 44 {["suggest"] = "b", ["help"] = "cos(A/2)"}, 45 {["suggest"] = "c", ["help"] = "tag(A/2))"}, 46 {["suggest"] = "d", ["help"] = "ctg(A/2)"}, 47 } 48 end 49end 50 51 52 53function hechahuaji (input) 54 if input == "d" then 55 return { 56 {["suggest"] = "a", ["help"] = "sinA+sinB"}, 57 {["suggest"] = "b", ["help"] = "sinA-sinB"}, 58 {["suggest"] = "c", ["help"] = "cosA+cosB"}, 59 {["suggest"] = "d", ["help"] = "cosA-cosB"}, 60 } 61 end 62end 63 64function jihuahecha (input) 65 if input == "e" then 66 return { 67 {["suggest"] = "a", ["help"] = "sinAcosB"}, 68 {["suggest"] = "b", ["help"] = "cosAsinB"}, 69 {["suggest"] = "c", ["help"] = "sinAsinB"}, 70 {["suggest"] = "d", ["help"] = "cosAcosB"}, 71 } 72 end 73end 74 75function wanneng (input) 76 if input == "f" then 77 return { 78 {["suggest"] = "a", ["help"] = "sinA"}, 79 {["suggest"] = "b", ["help"] = "cosA"}, 80 {["suggest"] = "c", ["help"] = "tagA"}, 81 } 82 end 83end 84 85function sanjiao (input) 86 if #input == 0 then 87 return { 88 {["suggest"] = "a", ["help"] = "?????"}, 89 {["suggest"] = "b", ["help"] = "????"}, 90 {["suggest"] = "c", ["help"] = "????"}, 91 {["suggest"] = "d", ["help"] = "????"}, 92 {["suggest"] = "e", ["help"] = "????"}, 93 {["suggest"] = "f", ["help"] = "????"}, 94 } 95 96 elseif input == "a" then 97 return liangjiaohe(input) 98 elseif input == "aa" then 99 return "sin(A+B)=sinAcosB+cosAsinB" 100 elseif input == "ab" then 101 return "sin(A-B)=sinAcosB-sinBcosA" 102 elseif input == "ac" then 103 return "cos(A+B)=cosAcosB-sinAsinB" 104 elseif input == "ad" then 105 return "cos(A-B)=cosAcosB+sinAsinB" 106 elseif input == "ae" then 107 return "tan(A+B)=(tanA+tanB)/(1-tanAtanB)" 108 elseif input == "af" then 109 return "tan(A-B)=(tanA-tanB)/(1+tanAtanB)" 110 elseif input == "ag" then 111 return "ctg(A+B)=(ctgActgB-1)/(ctgB+ctgA)" 112 elseif input == "ah" then 113 return "ctg(A-B)=(ctgActgB+1)/(ctgB-ctgA)" 114 115 elseif input == "b" then 116 return beijiao(input) 117 elseif input == "ba" then 118 return "sin(A-B)=2sinAcosA" 119 elseif input == "bb" then 120 return "cos2A=(cosA)^2-(sinA)^2=2(cosA)^2-1=1-2(sinA)^2" 121 elseif input == "bc" then 122 return "tag2A=2tanA/[1-(tanA)^2]" 123 elseif input == "bd" then 124 return "ctg2A=[ctgA)^2-1]/2ctgA" 125 126 elseif input == "c" then 127 return banjiao(input) 128 elseif input == "ca" then 129 return "sin(A/2)=?[(1-cosA)/2]" 130 elseif input == "cb" then 131 return "cos(A/2)=?[(1+cosA)/2]" 132 elseif input == "cc" then 133 return "tan(A/2)=?[(1-cosA)/(1+cosA)]" 134 elseif input == "cd" then 135 return "ctg(A/2)=?[(1+cosA)/(1-cosA)]" 136 137 elseif input == "d" then 138 return hechaohuaji(input) 139 elseif input == "da" then 140 return "sinA+sinB=2sin[(A+B)/2]cos[(A-B)/2]" 141 elseif input == "db" then 142 return "sinA-sinB=2cos[(A+B)/2]sin[(A-B)/2]" 143 elseif input == "dc" then 144 return "cosA+cosB=2cos[(A+B)/2]cos[(A-B)/2]" 145 elseif input == "dd" then 146 return "cosA-cosB=-2sin[(A+B)/2]sin[(A-B)/2] " 147 148 elseif input == "e" then 149 return hechaohuaji(input) 150 elseif input == "ea" then 151 return "sinAcosB=(1/2)[sin(A+B)+sin(A-B)]" 152 elseif input == "eb" then 153 return "cosAsinB=(1/2)[sin(A+B)-sin(A-B)]" 154 elseif input == "ec" then 155 return "sinAsinB=-(1/2)[cos(A+B)-cos(A-B)]" 156 elseif input == "ed" then 157 return "cosAcosB=(1/2)[cos(A+B)+cos(A-B)]" 158 159 elseif input == "f" then 160 return wanneng(input) 161 elseif input == "fa" then 162 return "sinA=2tan(A/2)/[1+tan^2(A/2)]" 163 elseif input == "fb" then 164 return "cosA=[1-tan^2(A/2)]/[1+tan^2(A/2)]" 165 elseif input == "fc" then 166 return "tanA=2tan(A/2)/[1-tan^2(A/2)]" 167 168 end 169end 170 171 172 173 174 175function daoshu (input) 176 if #input == 0 then 177 return { 178 {["suggest"] = "a", ["help"] = "C(??)"}, 179 {["suggest"] = "b", ["help"] = "x^a"}, 180 {["suggest"] = "c", ["help"] = "a^x"}, 181 {["suggest"] = "d", ["help"] = "e^x"}, 182 {["suggest"] = "e", ["help"] = "loga(x)"}, 183 {["suggest"] = "f", ["help"] = "lnx"}, 184 {["suggest"] = "g", ["help"] = "sinx"}, 185 {["suggest"] = "h", ["help"] = "cosx"}, 186 {["suggest"] = "l", ["help"] = "tagx"}, 187 {["suggest"] = "j", ["help"] = "ctgx"}, 188 {["suggest"] = "k", ["help"] = "secx"}, 189 {["suggest"] = "l", ["help"] = "cscx"}, 190 {["suggest"] = "m", ["help"] = "arcsinx"}, 191 {["suggest"] = "n", ["help"] = "arccosx"}, 192 {["suggest"] = "o", ["help"] = "arctagx"}, 193 {["suggest"] = "p", ["help"] = "arcctgx"}, 194 } 195 elseif input == "a" then 196 return "(C)'=0" 197 elseif input == "b" then 198 return "(x^a)'=ax^(a-1)" 199 elseif input == "c" then 200 return "(a^x)'=a^xˇlna" 201 elseif input == "d" then 202 return "(e^x)'=e^x" 203 elseif input == "e" then 204 return "(loga(x))'=1/(xˇlna)" 205 elseif input == "f" then 206 return "(lnx)'=1/x" 207 elseif input == "g" then 208 return "(sinx)'=cosx" 209 elseif input == "h" then 210 return "(cosx)'=-sinx" 211 elseif input == "i" then 212 return "(tagx)'=(secx)^2" 213 elseif input == "j" then 214 return "(ctgx)'=-(cscx)^2" 215 elseif input == "k" then 216 return "(secx)'=secxtagx" 217 elseif input == "l" then 218 return "(cscx)'=cscxctgx" 219 elseif input == "m" then 220 return "(arcsinx)'=1/?(1-x^2)" 221 elseif input == "n" then 222 return "(arccosx)'=-1/?(1-x^2)" 223 elseif input == "o" then 224 return "(arctagx)'=1/(1+x^2)" 225 elseif input == "p" then 226 return "(arcctgx)'=-1/(1+x^2)" 227 end 228end 229 230function jifen (input) 231 if #input == 0 then 232 return { 233 {["suggest"] = "a", ["help"] = "?0ˇdx"}, 234 {["suggest"] = "b", ["help"] = "?x^aˇdx"}, 235 {["suggest"] = "c", ["help"] = "?1/xˇdx"}, 236 {["suggest"] = "d", ["help"] = "?a^xˇdx"}, 237 {["suggest"] = "e", ["help"] = "?e^xˇdx"}, 238 {["suggest"] = "f", ["help"] = "?sinxˇdx"}, 239 {["suggest"] = "g", ["help"] = "?cosxˇdx"}, 240 {["suggest"] = "h", ["help"] = "?(secx)^2ˇdx"}, 241 {["suggest"] = "l", ["help"] = "?(cscx)^2ˇdx"}, 242 {["suggest"] = "j", ["help"] = "?1/?(1-x^2)ˇdx"}, 243 {["suggest"] = "k", ["help"] = "?1/(1+x^2)ˇdx"}, 244 } 245 elseif input == "a" then 246 return "?0ˇdx=C" 247 elseif input == "b" then 248 return "?x^aˇdx=1/(a+1)ˇx(a+1)+C (a?-1)" 249 elseif input == "c" then 250 return "?1/xˇdx=ln|x|+C" 251 elseif input == "d" then 252 return "?a^xˇdx=1/lnxˇa^x+C (a>0, a?-1)" 253 elseif input == "e" then 254 return "?e^xˇdx=e^x+C" 255 elseif input == "f" then 256 return "?sinxˇdx=-cosx+C" 257 elseif input == "g" then 258 return "?cosxˇdx=sinx+C" 259 elseif input == "h" then 260 return "?(secx)^2ˇdx=tagx+C" 261 elseif input == "i" then 262 return "?(cscx)^2ˇdx=-ctgx+C" 263 elseif input == "j" then 264 return "?1/?(1-x^2)ˇdx=arcsinx+C=-arccosx+C" 265 elseif input == "k" then 266 return "?1/(1+x^2)ˇdx=arctagx+C=-arcctgx+C" 267 end 268end 269 270------------ 271 272ime.register_command("fj", "jifen", "??????") 273ime.register_command("fd", "daoshu", "????????") 274ime.register_command("fs", "sanjiao", "??????")