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+/// \file ppe42_mulhwu.S
+/// \brief PPC405 word multiplication instructions implemented by PPE ISA
+///
+/// This file includes implementation for the following PPC405 instructions
+/// mulhwu
+///
+/// Note: PPE ISA specific "fused compare and branch" instructions are used
+///
+/// Revision History:
+/// 09-15-2014: Initial Version by daviddu
+///
+
+ .file "ppe42_mulhwu.S"
+ .section ".text"
+
+ /*
+ ** Code comment notation:
+ **
+ ** msw = most-significant (high-order) word, i.e. bits 0..31
+ ** lsw = least-significant (low-order) word, i.e. bits 32..63
+ ** msh = most-significant (high-order) halfword, i.e. bits 0..15
+ ** lsh = least-significant (low-order) halfword, i.e. bits 16..63
+ ** LZ = Leading Zeroes
+ ** SD = Significant Digits
+ ** OW = Register is overwritten, previous value is lost,
+ ** correct if previous value is no longer needed.
+ ** FU = Register is not overwritten, but its value is no longer needed,
+ ** in another word, the register is "free for use".
+ **
+ ** PPE GPR Registers are: R0-R10, R13, R28-R31
+ ** Volatile Registers are: R0, R3-R10
+ ** Non-volatile registers are R28-R31
+ */
+
+ /*
+ ** Caling Convention
+ **
+ ** R2 and R13 are never saved or restored. In ABI or EABI application
+ ** these registers are constant. The other touched volatile registers
+ ** will be saved and restored by the subroutines. Note the caller
+ ** wont be saving those registers because these subroutines will be
+ ** instrumented into caller's body without compiler knowledge.
+ **
+ ** Note R3 is not saved and restored because it will be changed for
+ ** return value anyways, the p2p script will make sure to restore it.
+ ** Also CR is hanlded because of compare and branch, but XER/CTR/LR
+ ** are not hanlded because they are untouched by the instructions used.
+ **
+ ** Stack layout:
+ **
+ ** 0x00 -- R1, Dedicated for Stack Pointer
+ ** 0x04 -- slot reserved for LR
+ ** 0x08 -- R4, Volatile, Private
+ ** 0x0c -- R5, Volatile, Private
+ ** 0x10 -- R6, Volatile, Private
+ ** 0x14 -- R7, Volatile, Private
+ ** 0x18 -- R8, Volatile, Private
+ ** 0x1c -- R9, Volatile, Private
+ ** 0x20 -- CR, Condition Register
+ ** 0x24 --
+ **
+ ** 0x28 -- Stack Size, Must be 8-byte aligned
+ */
+
+ /*
+ ** Multiplication Procedures:
+ **
+ ** __ppe42_mulhwu(U,V)
+ ** __ppe42_mulhw(U,V)
+ ** __ppe42_mullw(U,V)
+ **
+ ** R3:R4 = Input parameter, multipliers: U, V.
+ ** R3 = Output parameter, either product.msh or product.lsh.
+ ** R5-R9 = Temporary registers
+ **
+ ** General Algorithm
+ **
+ ** Using PPC405 ISA instruction 'mullhw' to emulate
+ ** Note: U,V,A,B,C,D,Product are all 32-bit integers(with msh and lsh)
+ **
+ ** U.msh U.lsh
+ ** X V.msh V.lsh
+ ** ------------------------
+ ** A.msh A.lsh
+ ** B.msh B.lsh
+ ** C.msh C.lsh
+ ** D.msh D.lsh
+ ** ------------------------
+ ** Product.msw Product.lsw
+ **
+ ** __ppe42_mulhwu: Return Product.msh (unsigned)
+ ** __ppe42_mulhw: Return Product.msh (signed)
+ ** __ppe42_mullw: Return Product.lsh
+ **
+ ** Precondition Check:
+ **
+ ** if( U == 0 || V == 0 ) return P=0;
+ */
+
+/*****************************************************************************/
+
+ /*
+ ** Multiply High Word Unsigned (__ppe42_mulhwu)
+ **
+ ** r5 = U[16:31] or U.lsh | r5 = r3 & 0xffff
+ ** r3 = U[0:15] or U.msh | r3 = r3 >> 16 (r3 OW)
+ ** r6 = V[16:31] or V.lsh | r6 = r4 & 0xffff
+ ** r4 = V[0:15] or V.msh | r4 = r4 >> 16 (r4 OW)
+ **
+ ** 4th column(drop A.lsh):
+ ** A = U.lsh * V.lsh [32] | r7 = r5 * r6
+ ** A = A.msh [16] | r7 = r7 >> 16 (r7 OW)
+ **
+ ** 3rd column(A = A.msh + B.lsh + C.lsh):
+ ** B = U.msh * U.lsh [32] | r6 = r3 * r6 (r6 OW)
+ ** T = B.lsh [16] | r8 = r6 & 0xffff
+ ** B = B.msh [16] | r6 = r6 >> 16 (r6 OW)
+ ** A = T + A [16] | r7 = r8 + r7 (r7 OW, r8 FU)
+ **
+ ** C = U.lsh * V.msh [32] | r5 = r5 * r4 (r5 OW)
+ ** T = C.lsh [16] | r8 = r5 & 0xffff (r8 OW)
+ ** C = C.msh [16] | r5 = r5 >> 16 (r5 OW)
+ ** A = T + A [16] | r7 = r8 + r7 (r7 OW, r8 FU)
+ **
+ ** 2nd column(A = 3rd_carry + B.msh + C.msh):
+ ** A = A.msh [16] | r7 = r7 >> 16 (r7 OW)
+ ** A = A + B [16] | r7 = r7 + r6 (r7 OW, r6 FU)
+ ** A = A + C [16] | r7 = r7 + r5 (r7 OW, r5 FU)
+ **
+ ** 1st column(A = D + A):
+ ** D = U.msh * V.msh [32] | r3 = r3 * r4 (r3 OW, r4 FU)
+ ** P = D + A [32] | r5 = r3 + r7 (r3, r7 FU)
+ **
+ ** Return P(r3=r5) as Product.msw unsigned
+ **
+ ** Note: the implementation can be even shorter, the current
+ ** implementation is ensuring the overflow is avoided
+ ** by always adding 16 bits integer together.
+ */
+
+ .align 2
+ .global __ppe42_mulhwu
+ .type __ppe42_mulhwu, @function
+
+__ppe42_mulhwu:
+
+ stwu %r1, -0x28(%r1) // allocate stack frame
+
+ stvd %d4, 0x08(%r1) // save off r4 & r5 in stack
+ stvd %d6, 0x10(%r1) // save off r6 & r7 in stack
+ stvd %d8, 0x18(%r1) // save off r8 & r9 in stack
+
+ mfcr %r5 // save off cr
+ stw %r5, 0x20(%r1) // store cr in stack
+
+ li %r5, 0 // r5 = 0
+ cmpwibc 1, 2, %r3, 0, __ppe42_mulhwu_ret // U=0 -> ret
+ cmpwibc 1, 2, %r4, 0, __ppe42_mulhwu_ret // V=0 -> ret
+
+ extrwi %r5, %r3, 16, 16
+ srwi %r3, %r3, 16
+ extrwi %r6, %r4, 16, 16
+ srwi %r4, %r4, 16
+
+ mullhwu %r7, %r5, %r6
+ srwi %r7, %r7, 16
+
+ mullhwu %r6, %r3, %r6
+ extrwi %r8, %r6, 16, 16
+ srwi %r6, %r6, 16
+ add %r7, %r8, %r7
+
+ mullhwu %r5, %r5, %r4
+ extrwi %r8, %r5, 16, 16
+ srwi %r5, %r5, 16
+ add %r7, %r8, %r7
+
+ srwi %r7, %r7, 16
+ add %r7, %r7, %r6
+ add %r7, %r7, %r5
+
+ mullhwu %r3, %r3, %r4
+ add %r5, %r3, %r7
+
+__ppe42_mulhwu_ret:
+
+ mr %r3, %r5 // put return value to r3
+
+ lwz %r5, 0x20(%r1) // load cr from stack
+ mtcr0 %r5 // restore cr
+
+ lvd %d4, 0x08(%r1) // restore r4 & r5 from stack
+ lvd %d6, 0x10(%r1) // restore r6 & r7 from stack
+ lvd %d8, 0x18(%r1) // restore r8 & r9 from stack
+
+ lwz %r1, 0(%r1) // restore stack pointer
+
+ blr
+
+ .size __ppe42_mulhwu, .-__ppe42_mulhwu
+
+
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