openpower/isa/fpcvt.mdwn

   1 <!-- X Instructions here described in PowerISA Version 3.0 B Book 1 -->
   2
   3 <!-- Section 4.6.7 Floating-point Rounding and Conversion instructions. P 159 - 166 -->
   4
   5 # Floating Convert with round Signed Doubleword to Single-Precision format
   6
   7 X-Form
   8
   9 * fcfids  FRT,FRB (Rc=0)
  10 * fcfids. FRT,FRB (Rc=1)
  11
  12 Pseudo-code:
  13
  14     FRT <- INT2FP(FRB, 'sint2single')
  15
  16 Special Registers Altered:
  17
  18     FPRF FR FI
  19     FX XX
  20     CR1        (if Rc=1)
  21
  22 # [DRAFT] Floating Convert From Integer In GPR
  23
  24 X-Form
  25
  26 * fcvtfg FRT,RB,IT (Rc=0)
  27 * fcvtfg. FRT,RB,IT (Rc=1)
  28
  29 Pseudo-code:
  30
  31     if IT[0] = 0 then  # 32-bit int -> 64-bit float
  32         # rounding never necessary, so don't touch FPSCR
  33         # based off xvcvsxwdp
  34         if IT = 0 then  # Signed 32-bit
  35             src <- bfp_CONVERT_FROM_SI32((RB)[32:63])
  36         else  # IT = 1 -- Unsigned 32-bit
  37             src <- bfp_CONVERT_FROM_UI32((RB)[32:63])
  38         FRT <- bfp64_CONVERT_FROM_BFP(src)
  39     else
  40         # rounding may be necessary. based off xscvuxdsp
  41         reset_xflags()
  42         switch(IT)
  43             case(0):  # Signed 32-bit
  44                 src <- bfp_CONVERT_FROM_SI32((RB)[32:63])
  45             case(1):  # Unsigned 32-bit
  46                 src <- bfp_CONVERT_FROM_UI32((RB)[32:63])
  47             case(2):  # Signed 64-bit
  48                 src <- bfp_CONVERT_FROM_SI64((RB))
  49             default:  # Unsigned 64-bit
  50                 src <- bfp_CONVERT_FROM_UI64((RB))
  51         rnd <- bfp_ROUND_TO_BFP64(FPSCR.RN, src)
  52         result <- bfp64_CONVERT_FROM_BFP(rnd)
  53         cls <- fprf_CLASS_BFP64(result)
  54         if xx_flag = 1 then SetFX(FPSCR.XX)
  55         FRT <- result
  56         FPSCR.FPRF <- cls
  57         FPSCR.FR <- inc_flag
  58         FPSCR.FI <- xx_flag
  59
  60 Special Registers Altered:
  61
  62     CR1          (if Rc=1)
  63     FPRF FR FI FX XX  (if IT[0]=1)
  64
  65 # [DRAFT] Floating Convert From Integer In GPR Single
  66
  67 X-Form
  68
  69 * fcvtfgs FRT,RB,IT (Rc=0)
  70 * fcvtfgs. FRT,RB,IT (Rc=1)
  71
  72 Pseudo-code:
  73
  74 <!-- note the PowerISA spec. explicitly has empty lines before/after SetFX, -->
  75 <!-- don't remove them -->
  76     # rounding may be necessary. based off xscvuxdsp
  77     reset_xflags()
  78     switch(IT)
  79         case(0):  # Signed 32-bit
  80             src <- bfp_CONVERT_FROM_SI32((RB)[32:63])
  81         case(1):  # Unsigned 32-bit
  82             src <- bfp_CONVERT_FROM_UI32((RB)[32:63])
  83         case(2):  # Signed 64-bit
  84             src <- bfp_CONVERT_FROM_SI64((RB))
  85         default:  # Unsigned 64-bit
  86             src <- bfp_CONVERT_FROM_UI64((RB))
  87     rnd <- bfp_ROUND_TO_BFP32(FPSCR.RN, src)
  88     result32 <- bfp32_CONVERT_FROM_BFP(rnd)
  89     cls <- fprf_CLASS_BFP32(result32)
  90     result <- DOUBLE(result32)
  91     if xx_flag = 1 then SetFX(FPSCR.XX)
  92     FRT <- result
  93     FPSCR.FPRF <- cls
  94     FPSCR.FR <- inc_flag
  95     FPSCR.FI <- xx_flag
  96
  97 Special Registers Altered:
  98
  99     CR1          (if Rc=1)
 100     FPRF FR FI FX XX
 101
 102 # [DRAFT] Floating Convert To Integer In GPR
 103
 104 XO-Form
 105
 106 * fcvttg RT,FRB,CVM,IT (OE=0 Rc=0)
 107 * fcvttg. RT,FRB,CVM,IT (OE=0 Rc=1)
 108 * fcvttgo RT,FRB,CVM,IT (OE=1 Rc=0)
 109 * fcvttgo. RT,FRB,CVM,IT (OE=1 Rc=1)
 110
 111 Pseudo-code:
 112
 113     # based on xscvdpuxws
 114     reset_xflags()
 115     src <- bfp_CONVERT_FROM_BFP64((FRB))
 116     switch(IT)
 117         case(0):  # Signed 32-bit
 118             range_min <- bfp_CONVERT_FROM_SI32(0x8000_0000)
 119             range_max <- bfp_CONVERT_FROM_SI32(0x7FFF_FFFF)
 120             js_mask <- 0x0000_0000_FFFF_FFFF
 121         case(1):  # Unsigned 32-bit
 122             range_min <- bfp_CONVERT_FROM_UI32(0)
 123             range_max <- bfp_CONVERT_FROM_UI32(0xFFFF_FFFF)
 124             js_mask <- 0x0000_0000_FFFF_FFFF
 125         case(2):  # Signed 64-bit
 126             range_min <- bfp_CONVERT_FROM_SI64(-0x8000_0000_0000_0000)
 127             range_max <- bfp_CONVERT_FROM_SI64(0x7FFF_FFFF_FFFF_FFFF)
 128             js_mask <- 0xFFFF_FFFF_FFFF_FFFF
 129         default:  # Unsigned 64-bit
 130             range_min <- bfp_CONVERT_FROM_UI64(0)
 131             range_max <- bfp_CONVERT_FROM_UI64(0xFFFF_FFFF_FFFF_FFFF)
 132             js_mask <- 0xFFFF_FFFF_FFFF_FFFF
 133     if (CVM[2] = 1) | (FPSCR.RN = 0b01) then
 134         rnd <- bfp_ROUND_TO_INTEGER_TRUNC(src)
 135     else if FPSCR.RN = 0b00 then
 136         rnd <- bfp_ROUND_TO_INTEGER_NEAR_EVEN(src)
 137     else if FPSCR.RN = 0b10 then
 138         rnd <- bfp_ROUND_TO_INTEGER_CEIL(src)
 139     else if FPSCR.RN = 0b11 then
 140         rnd <- bfp_ROUND_TO_INTEGER_FLOOR(src)
 141     switch(CVM)
 142         case(0, 1):  # OpenPower semantics
 143             if IsNaN(rnd) then
 144                 result <- si64_CONVERT_FROM_BFP(range_min)
 145             else if bfp_COMPARE_GT(rnd, range_max) then
 146                 result <- ui64_CONVERT_FROM_BFP(range_max)
 147             else if bfp_COMPARE_LT(rnd, range_min) then
 148                 result <- si64_CONVERT_FROM_BFP(range_min)
 149             else if IT[1] = 1 then  # Unsigned 32/64-bit
 150                 result <- ui64_CONVERT_FROM_BFP(rnd)
 151             else  # Signed 32/64-bit
 152                 result <- si64_CONVERT_FROM_BFP(rnd)
 153         case(2, 3):  # Java/Saturating semantics
 154             if IsNaN(rnd) then
 155                 result <- [0] * 64
 156             else if bfp_COMPARE_GT(rnd, range_max) then
 157                 result <- ui64_CONVERT_FROM_BFP(range_max)
 158             else if bfp_COMPARE_LT(rnd, range_min) then
 159                 result <- si64_CONVERT_FROM_BFP(range_min)
 160             else if IT[1] = 1 then  # Unsigned 32/64-bit
 161                 result <- ui64_CONVERT_FROM_BFP(rnd)
 162             else  # Signed 32/64-bit
 163                 result <- si64_CONVERT_FROM_BFP(rnd)
 164         default:  # JavaScript semantics
 165             # CVM = 6, 7 are illegal instructions
 166             # using a 128-bit intermediate works here because the largest type
 167             # this instruction can convert from has 53 significand bits, and
 168             # the largest type this instruction can convert to has 64 bits,
 169             # and the sum of those is strictly less than the 128 bits of the
 170             # intermediate result.
 171             limit <- bfp_CONVERT_FROM_UI128([1] * 128)
 172             if IsInf(rnd) | IsNaN(rnd) then
 173                 result <- [0] * 64
 174             else if bfp_COMPARE_GT(bfp_ABSOLUTE(rnd), limit) then
 175                 result <- [0] * 64
 176             else
 177                 result128 <- si128_CONVERT_FROM_BFP(rnd)
 178                 result <- result128[64:127] & js_mask
 179     switch(IT)
 180         case(0):  # Signed 32-bit
 181             result <- EXTS64(result[32:63])
 182             result_bfp <- bfp_CONVERT_FROM_SI32(result[32:63])
 183         case(1):  # Unsigned 32-bit
 184             result <- EXTZ64(result[32:63])
 185             result_bfp <- bfp_CONVERT_FROM_UI32(result[32:63])
 186         case(2):  # Signed 64-bit
 187             result_bfp <- bfp_CONVERT_FROM_SI64(result)
 188         default:  # Unsigned 64-bit
 189             result_bfp <- bfp_CONVERT_FROM_UI64(result)
 190     overflow <- 0  # signals SO only when OE = 1
 191     if IsNaN(src) | ¬bfp_COMPARE_EQ(rnd, result_bfp) then
 192         overflow <- 1  # signals SO only when OE = 1
 193         vxcvi_flag <- 1
 194         xx_flag <- 0
 195     else if ¬bfp_COMPARE_EQ(src, result_bfp) then
 196         xx_flag <- 1
 197     if vxsnan_flag = 1 then SetFX(FPSCR.VXSNAN)
 198     if vxcvi_flag = 1 then SetFX(FPSCR.VXCVI)
 199     if xx_flag = 1 then SetFX(FPSCR.XX)
 200     vx_flag <- vxsnan_flag | vxcvi_flag
 201     vex_flag <- FPSCR.VE & vx_flag
 202     if vex_flag = 0 then
 203         RT <- result
 204         FPSCR.FPRF <- undefined(0b00000)
 205         FPSCR.FR <- inc_flag
 206         FPSCR.FI <- xx_flag
 207     else
 208         FPSCR.FR <- 0
 209         FPSCR.FI <- 0
 210
 211 Special Registers Altered:
 212
 213     CR0                     (if Rc=1)
 214     SO OV OV32              (if OE=1)
 215     FPRF=0bUUUUU FR FI FX XX VXSNAN VXCV
 216
 217 # [DRAFT] Floating Convert To Integer In GPR Single
 218
 219 XO-Form
 220
 221 * fcvttgs RT,FRB,CVM,IT (OE=0 Rc=0)
 222 * fcvttgs. RT,FRB,CVM,IT (OE=0 Rc=1)
 223 * fcvttgso RT,FRB,CVM,IT (OE=1 Rc=0)
 224 * fcvttgso. RT,FRB,CVM,IT (OE=1 Rc=1)
 225
 226 Pseudo-code:
 227
 228     # based on xscvdpuxws
 229     reset_xflags()
 230     src <- bfp_CONVERT_FROM_BFP32(SINGLE((FRB)))
 231     switch(IT)
 232         case(0):  # Signed 32-bit
 233             range_min <- bfp_CONVERT_FROM_SI32(0x8000_0000)
 234             range_max <- bfp_CONVERT_FROM_SI32(0x7FFF_FFFF)
 235             js_mask <- 0x0000_0000_FFFF_FFFF
 236         case(1):  # Unsigned 32-bit
 237             range_min <- bfp_CONVERT_FROM_UI32(0)
 238             range_max <- bfp_CONVERT_FROM_UI32(0xFFFF_FFFF)
 239             js_mask <- 0x0000_0000_FFFF_FFFF
 240         case(2):  # Signed 64-bit
 241             range_min <- bfp_CONVERT_FROM_SI64(-0x8000_0000_0000_0000)
 242             range_max <- bfp_CONVERT_FROM_SI64(0x7FFF_FFFF_FFFF_FFFF)
 243             js_mask <- 0xFFFF_FFFF_FFFF_FFFF
 244         default:  # Unsigned 64-bit
 245             range_min <- bfp_CONVERT_FROM_UI64(0)
 246             range_max <- bfp_CONVERT_FROM_UI64(0xFFFF_FFFF_FFFF_FFFF)
 247             js_mask <- 0xFFFF_FFFF_FFFF_FFFF
 248     if (CVM[2] = 1) | (FPSCR.RN = 0b01) then
 249         rnd <- bfp_ROUND_TO_INTEGER_TRUNC(src)
 250     else if FPSCR.RN = 0b00 then
 251         rnd <- bfp_ROUND_TO_INTEGER_NEAR_EVEN(src)
 252     else if FPSCR.RN = 0b10 then
 253         rnd <- bfp_ROUND_TO_INTEGER_CEIL(src)
 254     else if FPSCR.RN = 0b11 then
 255         rnd <- bfp_ROUND_TO_INTEGER_FLOOR(src)
 256     switch(CVM)
 257         case(0, 1):  # OpenPower semantics
 258             if IsNaN(rnd) then
 259                 result <- si64_CONVERT_FROM_BFP(range_min)
 260             else if bfp_COMPARE_GT(rnd, range_max) then
 261                 result <- ui64_CONVERT_FROM_BFP(range_max)
 262             else if bfp_COMPARE_LT(rnd, range_min) then
 263                 result <- si64_CONVERT_FROM_BFP(range_min)
 264             else if IT[1] = 1 then  # Unsigned 32/64-bit
 265                 result <- ui64_CONVERT_FROM_BFP(rnd)
 266             else  # Signed 32/64-bit
 267                 result <- si64_CONVERT_FROM_BFP(rnd)
 268         case(2, 3):  # Java/Saturating semantics
 269             if IsNaN(rnd) then
 270                 result <- [0] * 64
 271             else if bfp_COMPARE_GT(rnd, range_max) then
 272                 result <- ui64_CONVERT_FROM_BFP(range_max)
 273             else if bfp_COMPARE_LT(rnd, range_min) then
 274                 result <- si64_CONVERT_FROM_BFP(range_min)
 275             else if IT[1] = 1 then  # Unsigned 32/64-bit
 276                 result <- ui64_CONVERT_FROM_BFP(rnd)
 277             else  # Signed 32/64-bit
 278                 result <- si64_CONVERT_FROM_BFP(rnd)
 279         default:  # JavaScript semantics
 280             # CVM = 6, 7 are illegal instructions
 281             # using a 128-bit intermediate works here because the largest type
 282             # this instruction can convert from has 53 significand bits, and
 283             # the largest type this instruction can convert to has 64 bits,
 284             # and the sum of those is strictly less than the 128 bits of the
 285             # intermediate result.
 286             limit <- bfp_CONVERT_FROM_UI128([1] * 128)
 287             if IsInf(rnd) | IsNaN(rnd) then
 288                 result <- [0] * 64
 289             else if bfp_COMPARE_GT(bfp_ABSOLUTE(rnd), limit) then
 290                 result <- [0] * 64
 291             else
 292                 result128 <- si128_CONVERT_FROM_BFP(rnd)
 293                 result <- result128[64:127] & js_mask
 294     switch(IT)
 295         case(0):  # Signed 32-bit
 296             result <- EXTS64(result[32:63])
 297             result_bfp <- bfp_CONVERT_FROM_SI32(result[32:63])
 298         case(1):  # Unsigned 32-bit
 299             result <- EXTZ64(result[32:63])
 300             result_bfp <- bfp_CONVERT_FROM_UI32(result[32:63])
 301         case(2):  # Signed 64-bit
 302             result_bfp <- bfp_CONVERT_FROM_SI64(result)
 303         default:  # Unsigned 64-bit
 304             result_bfp <- bfp_CONVERT_FROM_UI64(result)
 305     overflow <- 0  # signals SO only when OE = 1
 306     if IsNaN(src) | ¬bfp_COMPARE_EQ(rnd, result_bfp) then
 307         overflow <- 1  # signals SO only when OE = 1
 308         vxcvi_flag <- 1
 309         xx_flag <- 0
 310     else if ¬bfp_COMPARE_EQ(src, result_bfp) then
 311         xx_flag <- 1
 312     if vxsnan_flag = 1 then SetFX(FPSCR.VXSNAN)
 313     if vxcvi_flag = 1 then SetFX(FPSCR.VXCVI)
 314     if xx_flag = 1 then SetFX(FPSCR.XX)
 315     vx_flag <- vxsnan_flag | vxcvi_flag
 316     vex_flag <- FPSCR.VE & vx_flag
 317     if vex_flag = 0 then
 318         RT <- result
 319         FPSCR.FPRF <- undefined(0b00000)
 320         FPSCR.FR <- inc_flag
 321         FPSCR.FI <- xx_flag
 322     else
 323         FPSCR.FR <- 0
 324         FPSCR.FI <- 0
 325
 326 Special Registers Altered:
 327
 328     CR0                     (if Rc=1)
 329     SO OV OV32              (if OE=1)
 330     FPRF=0bUUUUU FR FI FX XX VXSNAN VXCV